Analyze

Problem 11801

Question 6
Reputable scientists know that the average surface temperature of the world has been rising steadily. One model found using sets of temperature data is: $T=0.02 t+15.0$
Where T is temperature in ${ }^{\circ} C$ and t is years since 1950. (a) Describe what the slope and T-intercept represent. (b) Use the equation to predict the average globle surface temperature in 2050. $\square$ ${ }^{\circ} \mathrm{C}$
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Problem 11802

The base ticket price for a football game is modeled by the function $p(x)=15 x+10$ , where $x$ is the years since the team started playing football. Not included in each base ticket price is a service charge modeled by the function $c(x)=5 x+2$ . To find the total cost of a ticket, a fan should use what operation on the polynomials? Addition Subtraction Multiplication It cannot be determined

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Problem 11803

```latex The pancreas secretes insulin into the blood to cause body cells to take up glucose. Use the graphic below to understand how this feedback loop works.
1. The image shows two different types of stimuli (1 and 2), but doesn't explain what the stimuli is that causes blood sugar to increase or decrease. Based on clues in the graphic, what are the two stimuli? $\square$ ```

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Problem 11804

ACT Problem
9. In the figure below, line $/$ is parallel to line $m$ . Transversals $t$ and $u$ intersect at point $A$ on $I$ and intersect $m$ at points $C$ and $B$ , respectively. Point $X$ is on $m$ , the measure of $\angle A C X$ is $130^{\circ}$ , and the measure of $\angle B A C$ is $80^{\circ}$ . How many of the angles formed by rays of $I, m, t$ , and $u$ have the measure of $50^{\circ}$ ? A. 4 B. 6 C. 8 D. 10 E. 12

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Problem 11805

A poll of 1019 Americans showed that $46.5 \%$ of the respondents prefer to watch the news rather than read or listen to Use those results with a 0.05 significance level to test the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.
Let $p$ denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it. Identify the null and alternative hypotheses. $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p} \square \\ \mathrm{H}_{1} \mathrm{p} \end{array}$ (Type integers or decimals. Do not round.)

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Problem 11806

```latex Voici un exemple de démarche possible, 7 A partir de la longueur d'un segment, du paramètre b. $4=\frac{1}{|b|} \cdot d_{\text {onc }}|b|=\frac{1}{4}=0,25$ $2=|a|$
A partir de la distance entre consécutifs, soit 2, absolue du paramètre a.
Puisque chaque segment est de la forme Observez la représentation graphique de chaque segment pour déterminer le signe du paramètre b. , $b>0$ , donc $b=0,25$ .
La fonction est croissante, donc a et b sont même signe. Comme $b>0$ , alors $a>0$ , donc $a$ $1(4,2)$ Analysez la variation (croissance ou décroissance) de la fonction afin de déterminer le signe du paramètre a.
Choisissez un point fermé afin de déterminer les valeurs possibles d'un couple ( $h, k$ ). terminez une règle possible pour la tion représentée de la forme : $a[b(x-h)]+k . \quad \mid f(x)=2[0,25(x-4)]+2$ ez chaque fonction ci-dessous. $50\left[\frac{1}{1000}(x+500)\right]$
exemple ```

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Problem 11807

10. $f(x)=\frac{2}{x+1}, g(x)=\frac{x}{x+1}$
Find the domain of the function.

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Problem 11808

Consider the quadratic function $y=1.7 x^{2}-9.1 x+2.3$ The graph of this function is a Select an answer Question Help: Message in:
Select an answer straight line that slopes downward Submit Part Jump to Ans parabola that opens downward straight line that slopes upward parabola that opens upward

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Problem 11809

Expand the function $f(x) = \frac{1}{1-x^4}$ in a power series with the center $c=0$ and determine the interval of convergence.

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Problem 11810

Part 1 of 4
Consider the quadratic function $y=1.7 x^{2}-9.1 x+2.3$ The graph of this function is a parabola that opens upward $\checkmark^{\checkmark} \sigma^{\Delta}$ $\square$ Part 2 of 4
The vertex of this graph is its lowest $\square$ $\checkmark$ os point, so this function has a $\square$ minimum $\checkmark$ of value. Part 3 of 4
State the vertex $(x, y)$ of this parabola. If necessary, round each value to three decimal places. $\square$ , $\square$ )

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Problem 11811

onsider the quadratic function $y=1.7 x^{2}-9.1 x+2.3$ The graph of this function is a parabola that opens upward $\checkmark^{\checkmark} 0^{s}$ $\square$ 0
The vertex of this graph is its lowest $\checkmark \checkmark$ point, so this function has a minimum $0^{8}$ value. $\square$ Part 2 of 4 $\qquad$ State the vertex $(x, y)$ of this parabola. If necessary, round each value to three decimal places. $\begin{array}{l} 2.676 \\ 0^{s} \\ \text { - }) \end{array}$ $-9.878$ Part 4 of 4
Fill in the blanks to interpret the vertex. If necessary, round each value to three decimal places. The minimum value of this function is $\square$ , which occurs at an $x$ value of $\square$ .

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Problem 11812

Are the systems of equations equivalent? Explain. $\begin{array}{rlrl} 2 x+4 y & =3 & 6 x+12 y & =9 \\ 6 x+3 y & =17 & 6 x+3 y & =17 \end{array}$
The first equation in the second system $\square$ in the first system, and the second equation in the second system $\square$ in the first system. Thus, the systems $\square$ equivalent.

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Problem 11813

Find all excluded values for the expression. That is, find all values of $w$ for which the expression is undefined. $\frac{w+6}{w+7}$
If there is more than one value, separate them with commas. $w=$ $\square$

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Problem 11814

A businesswoman is considering whether to open a coffee shop in a local shopping center. Before making this decision, she wants to know how much money people spend per week at coffee shops in that area. She took a random sample of 26 customers from the area who visit coffee shops and asked them to record the amount of money (in dollars) they would spend during the next week at coffee shops. At the end of the week, she obtained the following data (in dollars) from these 26 customers: \begin{tabular}{lllllllll} 16.91 & 38.63 & 15.22 & 14.34 & 5.05 & 63.69 & 10.28 & 13.21 & 32.20 \\ 36.04 & 16.29 & 65.93 & 10.27 & 37.13 & 3.15 & 6.81 & 34.67 & 6.47 \\ 36.25 & 27.66 & 38.71 & 13.17 & 9.64 & 9.39 & 1.30 & 5.16 & \end{tabular}
Assume that the distribution of weekly expenditures at coffee shops by all customers who visit coffee shops in this area is approximately normal.
Round your answers to cents. a. What is the point estimate of the corresponding population mean? $\bar{x}=\$$ i $\square$ b. Make a 95\% confidence interval for the average amount of money spent per week at coffee shops by all customers who visit coffee shops in this area. \$ i 1 ! to \$ i

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Problem 11815

```latex \text{يتألف مسار المتحرك من جزئين:}
\begin{itemize} \item \text{الجزء } AB: \text{ ربع دائرة شاقولي أملس (تهمل الاحتكاكات) مركزه } O \text{ ونصف قطره } r. \end{itemize}
\text{في اللحظة } t=0 \, \text{s} \text{ نترك جسماً صلباً نعتبره نقطياً بدون سرعة ابتدائية كتلته } m=0.5 \, \text{kg} \text{ انطلاقاً من الموضع } M \text{ من المسار } AB \text{، بحيث يشكل شعاع موضعه زاوية } \theta \text{ مع الشاقول كما هو مبين في الشكل المرفق أعلاه.}
\text{I-}
\begin{enumerate} \item \text{مثل القوى الخارجية المؤثرة في مركز عطالة الجسم الصلب في الجزء } AB. \item \text{بتطبيق معادلة انحفاظ الطاقة على الجملة (جسم صلب) بين الموضعين } M \text{ و } B. \text{ أوجد عبارة السرعة في الموضع } B. \item \text{مثل القوى الخارجية المؤثرة في مركز عطالة الجسم الصلب في الجزء } BC \text{ واستنتج طبيعة الحركة على هذا المسار مبرراً جوابك.} \item \text{بين أن عبارة ثابتين يطلب تحديد عبارتيهما. تحديد سرعة وصول الجسم المتحرك إلى الموضع } C \text{ فتحصلنا على البيان المرفق الموالي:} \end{enumerate}
\text{2. ت664 H18 TD cyst} ```

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Problem 11816

Given the graph of f , find any values of $x$ at which $f^{\prime}$ is not defined. A. $x=0$ B. $x=-2,2$ C. $x=2$ D. $x=-2,0,2$

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Problem 11817

Use the definition of a one-to-one function to determine if the function is one-to-one. $k(x)=|x-1|$ The function is one-to-one. The function is not one-to-one.

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Problem 11818

Jada was solving the equation $\sqrt{6-x}=-16$ . She was about to square each side, but then she realized she could give an answer without doing any algebra. What did she realize?

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Problem 11819

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Problem 11820

2. Explanation Tas! (6 points)
A ball rolls down ramp without slipping.
At any given instant, rank the following points on the ball by their speed: - The center of mass - The bottom of the ball - The top of the ball

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Problem 11821

$h(x)=x^{3}-6 x^{2}+15$ relative minimum $(x, y)=($ $\square$ ) relative maximum $(x, y)=($ $\square$

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Problem 11822

The following dot plot outlines the results of a set of scores on a standardized exam.
How many data items exist in the data set? $\square$ What is the mode of the data set? $\square$ What percent of values are greater than 32? Answer with a whole number. $\square$ \%

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Problem 11823

Multiple Choice 1 point Which of the following describes the following arrow notation? $f(x) \rightarrow \infty$ As $x$ approaches infinity, $x$ increases without bound. As the output approaches infinity, the output increases without bound. As $x$ approaches negative infinity, $x$ decreases without bound. As the output approaches negative infinity, the output decreases without bound.

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Problem 11824

An electric current, $I$ , in amps, is given by $I=\cos (w t)+\sqrt{3} \sin (w t),$ where $w \neq 0$ is a constant. What are the maximum and minimum values of $I$ ? Minimum value of $I$ : $\square$ amp
Maximum value of $I$ : $\square$ amp
Note: You can earn partial credit on this problem.

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Problem 11825

Use the function below to answer the following questions. $n(x)=-e^{x}+3$ (a) Use transformations of the graph of $y=e^{x}$ to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
Part: $0 / 3$
Part 1 of 3

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Problem 11826

Use the function below to answer the following questions. $m(x)=5^{x+4}$ (a) Use transformations of the graph of $y=5^{x}$ to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
Part: $0 / 3$

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Problem 11827

To make $48+34$ easier to solve, Lou decides to first add on from 48 to get to the next ten:
Add on to get to 50 . $48+2=50$
How much more does Lou need to add on? $\begin{aligned} & 48+34 \\ = & 48+(2+\square) \end{aligned}$

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Problem 11828

1. Below is a hypothesis test. Label the different parts of the test in the boxes.
A hospital director is told that $47 \%$ of the treated patients are uninsured. The director wants to test the claim that the percentage of uninsured patients is over the expected percentage. A sample of 400 patients is found that 200 were uninsured. At the 0.02 level, is there enough evidence to support the director's claim? $\begin{array}{l} H_{o}: p \leq 0.47 \\ H_{a}: p>0.47 \end{array}$ $\square$

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Problem 11829

Screen $4 / 6$
Jake learned how to play baseball using a hollow plastic ball. He could hit it pretty far. When he first started playing with a real, solid baseball, he could not hit it as far.
Why could Jake not hit the baseball as far as the plastic ball? The real baseball was bigger than the plastic ball. The real solid baseball has more mass than the hollow plastic ball. The plastic ball was whiter and easier to see than the baseball. The hollow plastic ball has more mass than the real solid baseball. GO BACK NEXT

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Problem 11830

Find the critical value(s) and rejection region(s) for the type of z-test with level of significance $\alpha$ . Include a graph with your Right-tailed test, $\alpha=0.05$
The critical value(s) is/are $z=1.645$ . (Round to two decimal places as needed. Use a comma to separate answers as needed.) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. The rejection region is $z<\square$ . B. The rejection region is $z>1.645$ . C. The rejection regions are $z<\square$ and $z>\square$ .
Choose the correct graph of the rejection region below.
$B$ . c.

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Problem 11831

Example 4. Following is the graph of $\mathrm{f}(\mathrm{x})$
Find: 3) $\lim _{x \rightarrow+\infty} f(x)$ 4) $\lim _{x \rightarrow-\infty} f(x)$

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Problem 11832

Find the number of solutions by graphing the system of equations. Select "None" if applicable. (Hint: Rewrite the system of equations into familiar forms to graph.) $\begin{array}{l} \ln 7=2 \ln x-\ln y \\ x^{2}+y^{2}-6 y+8=0 \end{array}$
Number of solutions: $\square$ None

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Problem 11833

Ella had softball and dance practice for 4 weeks. She practiced softball 2 hours a week and dance 1 hour a week.
Which operations can be used to find the total number of hours Ella practiced : softball and dance? division and addition multiplication and addition division and multiplicatig星 multiplication and subtraction

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Problem 11834

e graph of a rational function $f$ is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary.
Vertical asymptote(s): $x=-1$
Horizontal asymptote(s): $\square$ (b) Find all $x$ -intercepts and $y$ -intercepts. Check all that apply. $x$ -intercept(s): $\square$ $-1$ $-3$ $\square$ - 6 $\square$ None $y$ -intercept(s): $\square$ $-6$ $\square$ $-2$ $\square$ $-3$ None (c) Find the domain and range of $f$ .
Write each answer as an interval or union of intervals. Domain: $\square$ Range: $\square$

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Problem 11835

4) Let $f(x)=3 x+2, g(x)=x^{2}+2 x+1$ , and $h(x)=\frac{2 x+1}{x-1}$ a) Find and simplify $(g \circ f)(x),(f \circ g)(x),(f \circ f)(x)$ . b) Find $f^{-1}$ and show that the function you found is indeed the inverse of $f(x)$ c) $h(x), x \neq 1$ is one-to-one. Find its inverse and check the result.

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Problem 11836

Hypothesis test for the population mean: $t$ test using the critical value...
An electronics manufacturing process has historically had a mean completion time of 70 minutes. It is clured that, due to improvements in the process, the mean completion time, $\mu$ , is now less than 70 minutes. A random sample of 22 completion times using the new process is taken. The sample has a mean completion time of 67 minutes, with a standard deviation of 12 minutes.
Assume that completion times using the new process are approximately normally distributed. At the 0.05 level of significance, can it be concluded that the pepulation mean completion time using the new process is less than 70 minutes?
Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis $H_{0}$ and the alternative hypothesis $H_{1}$ . $\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$ $\Rightarrow H_{1}$ (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) $\square$ (d) Find the critical value. (Round to three or more decimal places.) $\square$ (e) Can it be concluded that the mean completion time using the new process is less than 70 minutes? Yes No

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Problem 11837

Using Descartes' Rule of Signs, what can be said about the following polynomial: $x^{3}-4 x^{2}+7 x-10$ ? Since there are two negatives and one positive, there will be only two negative roots. Since there are an even amount of positive and negative signs, there is no solution. Since there is only one variable ( $x$ ), there will be fewer than three answers. There are three sign changes, meaning this polynomial has up to three positive roots.

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Problem 11838

27
Under what circumstances will the solubility of gases in water increase? A. Increasing P \& Increasing T B. Decreasing $P \&$ Decreasing $T$ C. Increasing $P \&$ Decreasing $T$ D. Decreasing $P \&$ Increasing T E. None of the above.

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Problem 11839

The records show that the lifetimes of electric bulbs manufactured in the past by BIG Corporation have a mean of 9790 hours and a standard deviation of 124 . The corporation claims that the current standard deviation, $\sigma$ , is less than 124 following some adjustments in its production unit. A random sample of 27 bulbs from the current production lot is examined by the corporation. The sample has a mean lifetime of 9795 hours, with a standard deviation of 90 . Assume that the lifetimes of the recently manufactured bulbs are approximately normally distributed, Is there enough evidence to conclude, at the 0.10 level of significance, that the corporation's claim is valid?
Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis $H_{0}$ and the alternative hypothesis $H_{1}$ . $\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$ (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) $\square$ (d) Find the critical value. (Round to three or more decimal places.) $\square$ (e) Can we support the claim that the current standard deviation of lifetimes of electric bulbs manufactured by the corporation is less than 124 ? Yes No

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Problem 11840

Part 3 of 3 Points: 0.67 of 1
For the function shown below, complete the following. $f(x)=x^{3}-2 x^{2}-9 x+18$ a. List all possible zeros. b. Use synthetic division to test the possible rational zeros and find an actual zero. c. Use the quotient from part (b) to find the remaining zeros of the polynomial function. a. List all possible rational zeros. $\pm 1, \pm 2, \pm 3, \pm 6, \pm 9, \pm 18$ (Use a comma to separate answers as needed.) b. Use synthetic division to test the possible rational zeros and find an actual zero.
One of the actual rational zeros is 2 . c. Use the quotient from part (b) to find the remaining zeros of the polynomial function. Then write all of the zeros of the function.
The solution of $f(x)=x^{3}-2 x^{2}-9 x+18$ is $\square$ (Type exact answers, using radicals as needed. Use a comma to separate answers as needed.) example Calculator

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Problem 11841

The solubility of $\mathrm{CdWO}_{4}$ is $0.4633 \mathrm{~g} / \mathrm{L} \mathrm{H}_{2} \mathrm{O}$ at $20^{\circ} \mathrm{C}$ . Several solutions of $\mathrm{CdWO}_{4}$ (at $20^{\circ} \mathrm{C}$ ) have been prepared. Categorize each solution as unsaturated, saturated, or supersaturated.
Unsaturated Saturated Supersaturated $\square$ $\square$
Answer Bank
Solution 1: $9.018 \times 10^{-2} \mathrm{~g}$ solute is completely dissolved in 209.6 mL water.
Solution 2: $4.814 \times 10^{-3} \mathrm{~g}$ solute is completely dissolved in 10.39 mL water.
Solution 3: $5.962 \times 10^{-2} \mathrm{~g}$ solute is completely dissolved in 117.4 mL water.
Solution 4: $3.117 \times 10^{-1} \mathrm{~g}$ solute is completely dissolved in 651.2 mL water.

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Problem 11842

Practice \& Problem Solving

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Problem 11843

Estimate. $641 \div 23 \approx$
Choose 1 answer: (A) 30 (B) 300 (C) 3,000 (D) 30,000

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Problem 11844

Assume $X$ has a normal distribution $N\left(3,8^{2}\right)$ . Find $E(8 X-9)^{2}$

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Problem 11845

```latex \text{Answer each of the following, giving the numerical value, the units of the result, and a brief explanation of the results.}
\begin{enumerate} \item[A)] Was the rocket going up or down 5 seconds after it was launched? How do you know? \item[B)] When did the rocket reach its highest point? \item[C)] Estimate the maximum altitude. \item[D)] Estimate the average velocity over the first 8 seconds. \item[E)] Compute exactly, and give a practical interpretation of, $\int_{6}^{10} v(t) \, dt$ \item[F)] Compute exactly, and give a practical interpretation of $\int_{6}^{10}|v(t)| \, dt$ \item[G)] Compute exactly, and give a practical interpretation of, $v^{\prime}(9)$ \item[H)] Find the average acceleration over the first 4 seconds. \end{enumerate} ```

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Problem 11846

NAME More Decimal Practice page 2 of 2 Story Problems Show your work using numbers, labeled sketches, or words. 6 Rachel has $\$ 10.00$ . She wants to buy a book that costs $\$ 6.79$ . Will she have enough money left over to buy a pen for $\$ 3.50$ ? Explain.

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Problem 11847

$\begin{array}{l}x-6 y=\frac{56}{17} \\ y=3 x-\frac{47}{34}\end{array}$

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Problem 11848

2. بين اي من المجموعات التالية تكون متراصة, مع التوضيح $\{x \in R:|x|=1\} \quad .3$ $[-1,1] .2$ $[0,1] \quad .1$

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Problem 11849

$\begin{array}{l}-7 r+10 p=-\frac{137}{9} \\ 2 r+6 p=\frac{16}{3}\end{array}$

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Problem 11850

9. Find all the critical values of the function below. * $y=x^{4}-4 x^{3}+12$ $x=0$ only $x=0,12,24$ $x=3$ only $x=R^{3}$ There are no critical values

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Problem 11851

Given the following sets, find the set $(A \cup B)^{\prime} \cap C$ . $\begin{array}{l} \mathrm{U}=\{1,2,3, \ldots, 9\} \\ \mathrm{A}=\{1,2,4,5\} \\ \mathrm{B}=\{1,3,8\} \\ \mathrm{C}=\{1,3,4,6,7\} \end{array}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $(A \cup B)^{\prime} \cap C=$ $\square$ \} (Use a comma to separate answers as needed.) B. $(A \cup B)^{\prime} \cap C$ is the empty set.

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Problem 11852

8. What proportion of a normal distribution is located between each of the following $z$ -score boundaries? a. $z=-0.25$ and $z=+0.25$

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Problem 11853

Match the expression (I, II) with its correct formula (i, ii, iii or iv). $1 \sin (2 x)=$ $11 \cos (2 x)=$ i $\cos ^{2}(x)-\sin ^{2}(x) \quad$ ii $2 \sin \theta \cos \theta$ iii $\sin ^{2} \theta-\cos ^{2} \theta \quad$ iv $-2 \cos \theta \sin \theta$
I [Choose]
II [Choose]

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Problem 11854

Use the Binomial Theorem to expand the binomial: $\left(x^{8}+\sqrt{x}\right)^{3}$

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Problem 11855

PROPERTIES OF QUADRILATERALS Copy the chart. Put an X in the box if the shape always has the given property. (3.) All sides are $\cong$ . 4. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline & way. & 口 & Rectangle & Rhombus & Square & Kite & Trapezoid \\ \hline & Property & ? & ? & ? & ? & ? & ? \\ \hline (3.) & All sides are $\cong$ . & ? & ? & ? & ? & ? & ? \\ \hline 4. & Both pairs of opp. sides are $\cong$ . & ? & ? & ? & ? & ? & ? \\ \hline 5. & Both pairs of opp. sides are \|. & ? & & ? & ? & ? & \\ \hline 6. & Exactly 1 pair of opp. sides are II. & ? & ? & & & & ? \\ \hline 7. & All $\triangle$ are $\cong$ . & ? & ? & ? & ? & ? & ? \\ \hline 8. & Exactly 1 pair of opp. $\angle$ are $\cong$ . & ? & ? & ? & ? & ? & ? \\ \hline . & Diagonals are $\perp$ . & ? & ? & ? & ? & ? & ? \\ \hline 10. & Diagonals are $\cong$ . & ? & ? & ? & ? & ? & ? \\ \hline 11. & Diagonals bisect each other. & ? & ? & ? & ? & ? & ? \\ \hline \end{tabular}

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Problem 11856

3 Ordnen Sie der Funktion f die zugehörige Ableitungsfunktion $\mathrm{f}^{\prime} \mathrm{zu}$ . A: $f(x)=\frac{1}{3} x^{3}-x^{-1}$ B: $\mathbf{f}(\mathrm{x})=\sqrt{2} \mathrm{x}+5$ C: $f(x)=t x^{2}+t^{2} x+t$ (1) $f^{\prime}(x)=2 t x+t^{2}$ (2) $f^{\prime}(x)=t^{3}+3 t+1$ (3) $f^{\prime}(x)=\sqrt{2}$
D: $f(x)=x t^{3}+3 x t+x$ (4) $f^{\prime}(x)=x^{2}+\frac{1}{x^{2}}$

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Problem 11857

10 Die Bevölkerungszahl eines Landes wird mit der Funktion f mit $f(t)=20 \cdot e^{-0,0198 t}$ modelliert ( t in Jahren, $\mathrm{f}(\mathrm{t})$ in Millionen). Zeigen Sie, dass die Bevölkerungszahl andauernd abnimmt. Geben Sie mithilfe Ihres Rechners die ungefähre Anzahl der Jahre an, die es dauert, bis sich die Bevölkerungszahl nach diesem Modell ungefähr halbiert hat.

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Problem 11858

Are freshmen psychology majors just as likely to change their major before they graduate compared to freshmen business majors? 428 of the 671 freshmen psychology majors from a recent study changed their major before they graduated and 426 of the 643 freshmen business majors changed their major before they graduated. What can be concluded at the $\alpha=0.05$ level of significance?
For this study, we should use Select an answer a. The null and alternative hypotheses would be: $H_{0}$ : Select an answer Select an answer Select an answer $H_{1}$ : Select an answer Select an answer Select an answer b. The test statistic ? $=$ $\square$ (please show your answer to 3 decimal places.) c. The $p$ -value $=$ $\square$ (Please show your answer to 4 decimal places.) d. The $p$ -value is ? $\alpha$ e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at $\alpha=0.05$ , so there is sufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is different from the population proportion of freshmen business majors who change their major. The results are statistically significant at $\alpha=0.05$ , so there is sufficient evidence to conclude that the proportion of the 671 freshmen psychology majors who changed their major is different from the proportion of the 643 freshmen business majors who change their major. 0 The results are statistically insignificant at $\alpha=0.05$ , so there is insufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is different from the population proportion of freshmen business majors who change their major. The results are statistically insignificant at $\alpha=0.05$ , so there is statistically significant evidence to conclude that the population proportion of freshmen psychology majors who change their major is the same as the population proportion of freshmen business majors who change their major.

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Problem 11859

Are freshmen psychology majors less likely to change their major before they graduate compared to freshmen business majors? 339 of the 636 freshmen psychology majors from a recent study changed their major before they graduated and 426 of the 723 freshmen business majors changed their major before they graduated. What can be concluded at the $\alpha=0.01$ level of significance? If the calculator asks, be sure to use the "Pooled" data option.
For this study, we should use Select an answer a. The null and alternative hypotheses would be: $H_{0}$ : Select an answer Select an answer Select an answer (6) (please enter a decimal) $H_{1}$ : Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic ? $\mathbf{0}=$ $\square$ (please show your answer to 3 decimal places.) c. The p -value $=$ $\square$ (Please show your answer to 4 decimal places.) d. The $p$ -value is $\square$ $\alpha$ e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at $\alpha=0.01$ , so there is sufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is less than the population proportion of freshmen business majors who change their major. The results are statistically insignificant at $\alpha=0.01$ , so there is insufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is less than the population proportion of freshmen business majors who change their major. The results are statistically significant at $\alpha=0.01$ , so there is sufficient evidence to conclude that the proportion of the 636 freshmen psychology majors who changed their major is less than the proportion of the 723 freshmen business majors who change their major. The results are statistically insignificant at $\alpha=0.01$ , so there is statistically significant evidence to conclude that the population proportion of freshmen psychology majors who change their major is the same as the population proportion of freshmen business majors who change their major.

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Problem 11860

The heights of 10 year old American children are normally distributed with a mean height of 4 feet and 3 inches (or 51 inches) and a standard deviation of 4.75 inches.
In order to be allowed to go on a particular kids ride at the amusement park, children must be at least 43.4 inches tall and no more than 59.075 inches tall.
Use the Cumulative Z-Score Table to answer the following questions. Write your answers as a percent with two decimal places.
What percent of 10 year old American children cannot go on the ride? $\square$ \% Hint

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Problem 11861

Let $f(x)=\frac{-x}{(x+4)^{3}}$ and estimate the one-sided limits below. If you need to enter $\infty$ or $-\infty$ , enter INFINITY or -INFINITY. (a) $\lim _{x \rightarrow-4^{+}} f(x)=$ $\square$ help (limits) (b) $\lim _{x \rightarrow-4^{-}} f(x)=$ $\square$ help (limits)
Note: You can earn partial credit on this problem.

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Problem 11862

12. ERROR ANALYSIS Describe and correct the error in classifying the quadrilateral. $\angle B$ and $\angle C$ are supplements, so $\overline{A B} \| \overline{C D}$ . So, $A B C D$ is a parallelogram.
13. $\star$ MULTIPLE CHOICE What is the most specific name for the quadrilateral shown at the right? (A) Rectangle (B) Parallelogram (C) Trapezoid (D) Isosceles trapezoid
CLASSIFYING QUADRILATERALS Give the most specific name for the quadrilateral. Explain. 14. (15.) 16.

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Problem 11863

Which of the formulas below could be a polynomial with all of the following properties: its only zeros are $x=-6,-3,2$ , it has $y$ -intercept $y=3$ , and its long-run behavior is $y \rightarrow-\infty$ as $x \rightarrow \pm \infty$ ? Select every formula that has all of these properties. A. $y=-\frac{3}{108}(x+6)(x+3)^{2}(x-2)$ B. $y=-\frac{3}{972}(x+6)(x+3)^{4}(x-2)$ (i) C. $y=-\frac{3}{36}(x+6)(x+3)(x-2)$ D. $y=-3 x(x+6)(x+3)(x-2)$ E. $y=\frac{3}{72}(x+6)(x+3)(x-2)^{2}$ F. $y=-\frac{3}{72}(x+6)(x+3)(x-2)^{2}$ G. $y=-\frac{3}{216}(x+6)^{2}(x+3)(x-2)$

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Problem 11864

The graph of the equation representing compound interest is that of: A. linear function. B. quadratic function. C. exponential function. D. None of the above

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Problem 11865

The stem-and-leaf plots compare the ages of 30 actors and actresses at the time they won an award.
Complete parts a through d below. \begin{tabular}{r|c|l} \multicolumn{1}{c|}{ Actors } & Stems & \multicolumn{1}{|c}{ Actresses } \\ \hline 98753220 & 2 & 014667 \\ 88776543322100 & 4 & 11127 \\ 7751 & 5 & \\ 210 & 6 & 011 \\ 7 & 7 & 3 \\ & 8 & 2 \end{tabular} a. What is the age of the youngest actor to win the award? $\square$ years old

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Problem 11866

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of $2.1 \%$ per hour. How many hours does it take for the size of the sample to double?
Note: This is a continuous exponential growth model. Do not round any intermediate computations, and round your answer to the nearest hundredth.

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Problem 11867

188. L'area dei settori circolari rappresentati è una certa frazione di quella dell'intero cerchio. Precisa in ciascun caso di quale frazione si tratta. a. d. b. $\qquad$ e. c. f.

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Problem 11868

Which of the following is true about the base $b$ of a logarithmic function? $b=0$ and $b=1$ $b>0$ and $b=1$ $b<0$ and $b=1$ b : 0 ando b

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Problem 11869

(b) $\sum_{n=1}^{\infty} \arctan n$ ;

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Problem 11870

25. Which of the following are the most likely short-run effects of an increase in government expenditures? \begin{tabular}{llll} Unemployment Rate & & Inflation Rate & \\ \cline { 4 - 5 } a. Increase & & Real Gross Domestic Product \\ b. Increase & & Increase \\ c. Decrease & & Increase & Decrease \\ d. Decrease & Decrease & Increase \\ e. No change & Decrease & Increase \\ e. & & Increase \end{tabular}

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Problem 11871

A cereal company is developing a new granola bar. It follows a recipe based on the graph shown below.
1. What is the constant of proportionality?
2. Explain what the constant of proportionality means for this example. Your response should mention "nuts" and "fruit".
3. How many cups of nuts would be needed for 10 cups of fruit? Show or explain how you know.
4. How many cups of fruit would be needed for 9 cups of nuts? Show or explain how you know.
5. Make a table of the graph above. Include at least five pairs of values.

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Problem 11872

According to Le Châtelier's principle, a system at equilibrium will respond to a stress by shifting in the direction that'rellieves the stress. Chemical reactions can be displaced from their equilibrium positions not only by adding or removing reactants or products but also by changing the volume or temperature. Changes in volume affect the value of the reaction quotient, $Q$ , whereas temperature changes affect the value of the equilibrium constant, $K$ .
Part A
For the following systems at equilibrium $\mathrm{A}: 2 \mathrm{NOCl}(\mathrm{g}) \rightleftharpoons 2 \mathrm{NO}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{~g})$ B: $\mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})$ classify these changes by their effect. Drag the appropriate items to their respective bins. View Available Hint(s) Reset Help
System A System A System B Increase container size
Decrease container size Increase container size
System B Decrease container size
Leftward shift No shift Rightward shift

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Problem 11873

A1 . M2 - TC - Lesson 18 PRACTICE
On a track team, 4 athletes compare their fastest times in the 100 -meter race and 200 -meter race. A table of their fastest times is shown. The athletes wonder whether a faster 100 -meter time is associated with a faster 200 -meter time. \begin{tabular}{c|c|c} Athlete & \begin{tabular}{c} Fastest Time \\ 100-Meter Race \\ (seconds) \end{tabular} & \begin{tabular}{c} Fastest Time \\ 200-Meter Race \\ (seconds) \end{tabular} \\ \hline A & 12.95 & 26.68 \\ \hline B & 13.81 & 29.48 \\ \hline C & 14.66 & 28.11 \\ \hline D & 14.88 & 30.93 \\ \hline \end{tabular}

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Problem 11874

A researcher wants to know if the clothes a woman wears is a factor in her GPA. The table below shows data that was collected from a survey. \begin{tabular}{|c|c|c|c|} \hline Shorts & Dress & Jeans & Skirt \\ \hline 2.4 & 2.7 & 2.9 & 2.9 \\ \hline 2.3 & 2.3 & 2.8 & 3.4 \\ \hline 4 & 2.2 & 3.6 & 4 \\ \hline 3.1 & 3.5 & 2.9 & 3.9 \\ \hline 3.3 & 3.2 & 3.2 & 2.5 \\ \hline 2.1 & 2.4 & 4 & 3.5 \\ \hline 3.1 & 3.4 & 2.7 & 3.7 \\ \hline 3 & 2.1 & 3.5 & \\ \hline 3.2 & & & \\ \hline \end{tabular}
Assume that all distributions are normal, the four population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of $\alpha=0.1$ . $H_{0}: \mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}$ $H_{1}$ : At least two of the means differ from each other.
1. For this study, we should use Select an answer
2. The test-statistic for this data $=$ $\square$ (Please show your atiswer to 3 decimal places.)
3. The $p$ -value for this sample $=$ $\square$ (Please show your answer to 4 decimal places.)
4. The $p$ -value is Select an answer - $a$
5. Base on this, we should Select an answer
6. As such, the final conclusion is that... There is sufficient evidence to support the claim that the clothes a woman wears is a factor in GPA. There is insufficient evidence to support the claim that the clothes a woman wears is a factor in GPA.

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Problem 11875

Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05 , test the hypothesis that the three formulas produce the same mean weight gain. $H_{0}: \mu_{1}=\mu_{2}=\mu_{3}$ $\mathrm{H}_{\mathrm{a}}$ : At least two of the means differ from each other \begin{tabular}{|c|c|c|} \hline Forumla A & Forumla B & Forumla C \\ \hline 947.1 & 45.1 & 51.4 \\ \hline 44 & 39.9 & 58 \\ \hline 939 & 35 & 52 \\ \hline 52.9 & 34.1 & 44.3 \\ \hline 37.3 & 60.6 & 48.8 \\ \hline 55.7 & 57 & 47.5 \\ \hline 52 & 20.9 & 42.3 \\ \hline 57.7 & 18.3 & 40.6 \\ \hline 1261.4 & 41.3 & 50.6 \\ \hline \end{tabular}
Run a one-factor ANOVA with $\alpha=0.05$ . Report the F -ratio to 4 decimal places and the p -value to 4 decimal places. $F=$ p-value = $\square$ Based on the $p$ -value, what is the conclusion Reject the null hypothesis: at least one of the group means is different Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different

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Problem 11876

Check here for instructional material to complete this problem. Let a be the length of a snowboard, and let b be length of the bag needed to hold it. Identify the independent variable and the dependent variab
For the variables b and a , identify the independent variable and the dependent variable. A. The variable a is the independent variable and variable b is the dependent variable. B. The variable $a$ is the dependent variable and variable $b$ is the independent variable.

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Problem 11877

6. Suppose a company evaluates its employees and places them on a percentile ranking. If an employee evaluation is in the 67 th percentile, what does this mean in context? a. $67 \%$ of employees have this evaluation rating or better b. This employee has a evaluation rating that is $67 \%$ better than the mean evaluation rating of employees c. $67 \%$ of employees have this evaluation rating or worse d. This employee is $67 \%$ worse than other employees e. This employee is $67 \%$ better than other employees

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Problem 11878

Identify the property that justifies the statement $z(2 w+y)=(2 w+y) z$ . A associative property of multiplication B commutative property of multiplication C multiplication property of equality D symmetric property of equality

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Problem 11879

Mia Sacus
13. Parta Each day, Yumiko exercises by first doing sit-ups and then running. Make a scatter of the total time she exercises as a function of the distance she runs. Draw a trend line. \begin{tabular}{ll|llllll|} & & Distance (mi) & 1.5 & 2 & 2.5 & 3 & 3.5 \\ 4 \\ \hline \end{tabular} $\begin{array}{l} P 1=1,16 \\ P 2=3,30 \\ 30-16=\frac{14}{2} \\ 3-1= \end{array}$
Total Distance (mi) Part B Which sentence describes the correlation of the scatter plot. (A) The colretation is positive because the time increases as distance increases.
B The correlation is negative because the time decreases as distance increases. C It is impossible to tell what the correlation is based on the given data. D There is no correlation between time and distance in this situation. fixed Part c Write the equation of the trend line that best fits the data $\qquad$ $2,5,2$ $18-2$ $1.5=$
A average time spent doing sit-ups B average time spent running C total time spent exercising n average distance run

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Problem 11880

Find the interval of convergence and the radius of convergence for the series $\sum_{n=1}^{\infty} \frac{(x-5)^{n}}{n^{2}}$ .

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Problem 11881

6. Describe the number and type of solutions to the equation. $2 x^{2}-6 x+8=0$

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Problem 11882

3) Which answer choice best describes the end behavior of the graph of $y=3\left(\frac{1}{3}\right)^{x}+2$ ? You need to sketch the graph to answer. (1) $\quad x \rightarrow \infty, f(x) \rightarrow 0$ (3) $\quad x \rightarrow \infty, f(x) \rightarrow 2$ $x \rightarrow-\infty, f(x) \rightarrow \infty$ $x \rightarrow-\infty, f(x) \rightarrow \infty$ (2) $x \rightarrow \infty, f(x) \rightarrow-\infty$ (4) $\quad x \rightarrow \infty, f(x) \rightarrow \infty$ $x \rightarrow-\infty, f(x) \rightarrow 0$ $x \rightarrow-\infty, f(x) \rightarrow 2$

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Problem 11883

Which number is NOT an entire radical? $\sqrt[3]{343}$ $\sqrt{16}$ $\sqrt{35}$ $3 \sqrt{42}$

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Problem 11884

colagedutue Mark as Complete courestioOLS Number Theory and Fractions Unit Test Print
Kim made three quiches for a party: cheese, spinach, and mushroom. The cheese quiche was cut into 8 equal pieces, the spinach quiche was cut into 16 equal pieces, and the mushroom quiche was cut into 4 equal pieces, At the party, people ate 5 pieces of the cheese, 9 pieces of the spinach, and 2 pieces of the mushroom. Which quiche did people eat the most of? Identify the fractions in numerical order from greatest to least. (1 point) $\frac{5}{8}, \frac{9}{16}, \frac{2}{4}$ : The cheese quiche was eaten the most. $\frac{10}{16}, \frac{8}{16}, \frac{9}{16}$ : The cheese quiche was eaten the most. $\frac{9}{16}, \frac{5}{8}, \frac{2}{4}$ : The spinach quiche was eaten the most. $16,8,4$ : The cheese quiche was eaten the most.

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Problem 11885

Given the sequential instructions below. Identify the instructions suitable for parallelism and those that are not suitable. i. $\quad \mathrm{e}=\mathrm{a}+\mathrm{b}$ ii. $p=f+c$ iii. $\quad f=c+d$ iv. $g=e * f$

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Problem 11886

1 \&page=18idWebuser=5901475\&idSection =19532928self= True\& menu
UNIT 7 LESSON 14 Number Theory and Fractions Number Theory and Fractions Mark as Comp COURSE OUTLINE
Number Theory and Fractions Unit Test COURSE TOOLS
A track team needed to run or jog 20 laps for their practice. Of the total 20 laps, Sara completed $\frac{4}{5}$ , Jamie completed $\frac{5}{8}$ , Keenan completed $\frac{5}{9}$ , Maya completed 0.833 , and Trey completed 0.875 . Identify the descending numeric order of the laps completed. Be sure to input the original form of each number. (2 points) Item 8 Item 9 Item 10 ftem 11 liem 12 Item 13 Rem 14

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Problem 11887

Consider the numbers 13, 16, 27, and 41. a. Which of these numbers are prime? How do you know? b. Which of these numbers are composite? How do you know? (2 points)

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Problem 11888

71 Soit $S_{n}$ la somme définie pour tout $n \in \mathbb{N}$ par $S_{n}=1+5+5^{2}+5^{3}+\ldots+5^{n}$ .
1. Exprimer $S_{n}$ en fonction de $n$ .
2. Déterminer limite de $S_{n}$ quand $n$ tend vers $+\infty$ en justifiant.

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Problem 11889

(3.) The equation $p(h)=5,000 \cdot 2^{h}$ represents a bacteria population as a function of time in hours. Here is a graph of the function $P$ , (4.) Use the graph to determine when the population will reach 100,000 D. Explain why $\log _{2} 20$ also tells us when the population will reach 100,000 ,
4. Solve $9 \cdot 10^{(0.2 t)}=900$ . Show your reasoning.

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Problem 11890

Below is a hypothesis test. Label the different parts of the test in the boxes.
A hospital director is told that $47 \%$ of the treated patients are uninsured. The director wants to test the claim that the percentage of uninsured patients is over the expected percentage. A sample of 400 patients is found that 200 were uninsured. At the 0.02 level, is there enough evidence to support the director's claim? $\begin{array}{l} H_{o}: p \leq 0.47 \\ H_{a}: p>0.47 \end{array}$ $Z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.5-0.47}{\sqrt{\frac{0.47(1-0.47)}{400}}}=\frac{0.03}{\sqrt{\frac{0.47(0.53)}{400}}}=\frac{0.03}{\sqrt{\frac{0.2491}{400}}}=\frac{0.03}{\sqrt{0.00062275}}=\frac{0.03}{0.02495}=1.20$

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Problem 11891

On effectue une augmentation de $8 \%$ puis une augmentation de $13 \%$ .
Détermine l'évolution globale.
Ta réponse: L'évolution globale est une diminution de .... \% Complète ta réponse: diminution - Arrondi à l'unité près.

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Problem 11892

4. Given the line whose equation is $2 y-6 x=10$ , for every one unit of increase in $x$ , which of the following is true about $y$ ? (Hint, rearrange into $y=m x+b$ form first.) (1) $y$ decreases by 6 (2) $y$ increases by 3 (3) $y$ increases by 2 (4) $y$ decreases by 10

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Problem 11893

$-5 \sin (0.5 x+1)$ amplitude: a period: d horizontal shift: $\qquad$

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Problem 11894

Official Time: 14:43:23
Question 2 [10 points] Find the characteristic polynomial of $A$ . Use $x$ for the variable in your polynomial. $A=\left[\begin{array}{cccc} 1 & -1 & -10 & 5 \\ 0 & -2 & 2 & 8 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 2 \end{array}\right]$ characteristic polynomial of $A$ is: 0 SUBMIT AND MARK

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Problem 11895

$-5+w \geq-8$ , if $w=2$

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Problem 11896

Otricial Time: 14:44:47
Question 1 [10 points] Find the characteristic polynomial of $A$ . Use $x$ for the variable in your polynomial. You do not need to factor your polynomial. $A=\left[\begin{array}{ccc} 10 & 0 & 12 \\ 0 & 1 & 0 \\ -9 & 0 & -11 \end{array}\right]$ characteristic polynomial of $A$ is: 0 SUBMIT AND MARK SAVE ANL

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Problem 11897

Find the sope or the line. 1. 2. 3. 4. 5. \begin{tabular}{|l|c|c|c|c|} \hline Days, $x$ & 2 & 4 & 6 & 8 \\ \hline Pages, $y$ & 80 & 160 & 240 & 320 \\ \hline \multicolumn{4}{|c|}{40} & 40 \\ \hline \end{tabular} 6. \begin{tabular}{|l|l|l|l|l|} \hline Seconds, $x$ & 10 & 20 & 30 & 1 \\ \hline Feet, $y$ & 22 & 44 & 66 & \\ \hline \multicolumn{4}{|c|}{2.22 .22 .22} \\ \hline \end{tabular} $y=40 x$ $y=2.2 x$

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Problem 11898

\begin{tabular}{|l|l|l|} \hline Compound & \begin{tabular}{l} $\Delta H_{a c}$ \\ $(\mathrm{~kJ} / \mathrm{mol})$ \end{tabular} & \begin{tabular}{l} $\Delta S_{a c}$ \\ $\left(\mathrm{~J} /\left(\mathrm{mol}^{*} \mathrm{~K}\right)\right)$ \end{tabular} \\ \hline $\mathrm{H}_{2} \mathrm{~S}(\mathrm{~g})$ & -734.74 & -191.46 \\ \hline $\mathrm{O}_{2}(\mathrm{~g})$ & -498.34 & -116.97 \\ \hline $\mathrm{H}_{2} \mathrm{O}(\mathrm{g})$ & -926.29 & -202.23 \\ \hline $\mathrm{SO}_{2}(\mathrm{~g})$ & -1073.98 & -241.71 \\ \hline \end{tabular}
Question 10 0.3 pt
Without doing anycalculations, do you expect the reaction entropy $\left(\Delta S_{r x n}\right)$ to be positive or negative for this reaction? Positive Negative

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Problem 11899

$-12 \%$
On effectue une réduction de $12 \%$ Détermine l'évolution réciproque.

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Problem 11900

uations. $\begin{array}{l} (2 x-y=-18) \\ (-x-3 y=-26) \\ 2 x-y=-18 \\ -x-3 y=-26 \\ \hline 0 x+\text { o } y= \end{array}$

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1 ...116 117 118 119 120 121 122 ...160

Analyze

Problem 11801

Problem 11802

Problem 11803

Problem 11804

Problem 11805

Problem 11806

Problem 11807

10. f(x)=2x+1,g(x)=xx+1f(x)=\frac{2}{x+1}, g(x)=\frac{x}{x+1}f(x)=x+12​,g(x)=x+1x​Find the domain of the function.

Problem 11808

Problem 11809

Expand the function f(x)=11−x4 f(x) = \frac{1}{1-x^4} f(x)=1−x41​ in a power series with the center c=0 c=0 c=0 and determine the interval of convergence.

Problem 11810

Problem 11811

Problem 11812

Problem 11813

Find all excluded values for the expression. That is, find all values of www for which the expression is undefined. w+6w+7\frac{w+6}{w+7}w+7w+6​If there is more than one value, separate them with commas. w=w=w= □\square□

Problem 11814

Problem 11815

Problem 11816

Given the graph of f , find any values of xxx at which f′f^{\prime}f′ is not defined. A. x=0x=0x=0 B. x=−2,2x=-2,2x=−2,2 C. x=2x=2x=2 D. x=−2,0,2x=-2,0,2x=−2,0,2

Problem 11817

Use the definition of a one-to-one function to determine if the function is one-to-one. k(x)=∣x−1∣k(x)=|x-1|k(x)=∣x−1∣ The function is one-to-one. The function is not one-to-one.

Problem 11818

Jada was solving the equation 6−x=−16\sqrt{6-x}=-166−x​=−16. She was about to square each side, but then she realized she could give an answer without doing any algebra. What did she realize?

Problem 11819

Problem 11820

2. Explanation Tas! (6 points)A ball rolls down ramp without slipping.At any given instant, rank the following points on the ball by their speed: - The center of mass - The bottom of the ball - The top of the ball

Problem 11821

h(x)=x3−6x2+15h(x)=x^{3}-6 x^{2}+15h(x)=x3−6x2+15 relative minimum (x,y)=((x, y)=((x,y)=( □\square□ ) relative maximum (x,y)=((x, y)=((x,y)=( □\square□

Problem 11822

The following dot plot outlines the results of a set of scores on a standardized exam.How many data items exist in the data set? □\square□ What is the mode of the data set? □\square□ What percent of values are greater than 32? Answer with a whole number. □\square□ \%

Problem 11823

Problem 11824

Problem 11825

Problem 11826

Use the function below to answer the following questions. m(x)=5x+4m(x)=5^{x+4}m(x)=5x+4 (a) Use transformations of the graph of y=5xy=5^{x}y=5x to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.Part: 0/30 / 30/3

Problem 11827

To make 48+3448+3448+34 easier to solve, Lou decides to first add on from 48 to get to the next ten:Add on to get to 50 . 48+2=5048+2=5048+2=50How much more does Lou need to add on? 48+34=48+(2+□)\begin{aligned} & 48+34 \\ = & 48+(2+\square) \end{aligned}=​48+3448+(2+□)​

Problem 11828

Problem 11829

Problem 11830

Problem 11831

Example 4. Following is the graph of f(x)\mathrm{f}(\mathrm{x})f(x)Find: 3) lim⁡x→+∞f(x)\lim _{x \rightarrow+\infty} f(x)limx→+∞​f(x) 4) lim⁡x→−∞f(x)\lim _{x \rightarrow-\infty} f(x)limx→−∞​f(x)

Problem 11832

Problem 11833

Problem 11834

Problem 11835

Problem 11836

Problem 11837

Problem 11838

27Under what circumstances will the solubility of gases in water increase? A. Increasing P \& Increasing T B. Decreasing P&P \&P& Decreasing TTT C. Increasing P&P \&P& Decreasing TTT D. Decreasing P&P \&P& Increasing T E. None of the above.

Problem 11839

Problem 11840

Problem 11841

Problem 11842

Practice \& Problem Solving

Problem 11843

Estimate. 641÷23≈641 \div 23 \approx641÷23≈Choose 1 answer: (A) 30 (B) 300 (C) 3,000 (D) 30,000

Problem 11844

Assume XXX has a normal distribution N(3,82)N\left(3,8^{2}\right)N(3,82). Find E(8X−9)2E(8 X-9)^{2}E(8X−9)2

Problem 11845

Problem 11846

NAME More Decimal Practice page 2 of 2 Story Problems Show your work using numbers, labeled sketches, or words. 6 Rachel has $10.00\$ 10.00$10.00. She wants to buy a book that costs $6.79\$ 6.79$6.79. Will she have enough money left over to buy a pen for $3.50\$ 3.50$3.50 ? Explain.

Problem 11847

x−6y=5617y=3x−4734\begin{array}{l}x-6 y=\frac{56}{17} \\ y=3 x-\frac{47}{34}\end{array}x−6y=1756​y=3x−3447​​

Problem 11848

2. بين اي من المجموعات التالية تكون متراصة, مع التوضيح {x∈R:∣x∣=1}.3\{x \in R:|x|=1\} \quad .3{x∈R:∣x∣=1}.3 [−1,1].2[-1,1] .2[−1,1].2 [0,1].1[0,1] \quad .1[0,1].1

Problem 11849

−7r+10p=−13792r+6p=163\begin{array}{l}-7 r+10 p=-\frac{137}{9} \\ 2 r+6 p=\frac{16}{3}\end{array}−7r+10p=−9137​2r+6p=316​​

Problem 11850

9. Find all the critical values of the function below. * y=x4−4x3+12y=x^{4}-4 x^{3}+12y=x4−4x3+12 x=0x=0x=0 only x=0,12,24x=0,12,24x=0,12,24 x=3x=3x=3 only x=R3x=R^{3}x=R3 There are no critical values

Problem 11851

Problem 11852

8. What proportion of a normal distribution is located between each of the following zzz-score boundaries? a. z=−0.25z=-0.25z=−0.25 and z=+0.25z=+0.25z=+0.25

Problem 11853

Problem 11854

Use the Binomial Theorem to expand the binomial: (x8+x)3\left(x^{8}+\sqrt{x}\right)^{3}(x8+x​)3

Problem 11855

Problem 11856

10. $f(x)=\frac{2}{x+1}, g(x)=\frac{x}{x+1}$
Find the domain of the function.

Expand the function $f(x) = \frac{1}{1-x^4}$ in a power series with the center $c=0$ and determine the interval of convergence.

Find all excluded values for the expression. That is, find all values of $w$ for which the expression is undefined. $\frac{w+6}{w+7}$
If there is more than one value, separate them with commas. $w=$ $\square$

Given the graph of f , find any values of $x$ at which $f^{\prime}$ is not defined. A. $x=0$ B. $x=-2,2$ C. $x=2$ D. $x=-2,0,2$

Use the definition of a one-to-one function to determine if the function is one-to-one. $k(x)=|x-1|$ The function is one-to-one. The function is not one-to-one.

Jada was solving the equation $\sqrt{6-x}=-16$ . She was about to square each side, but then she realized she could give an answer without doing any algebra. What did she realize?

2. Explanation Tas! (6 points)
A ball rolls down ramp without slipping.
At any given instant, rank the following points on the ball by their speed: - The center of mass - The bottom of the ball - The top of the ball

$h(x)=x^{3}-6 x^{2}+15$ relative minimum $(x, y)=($ $\square$ ) relative maximum $(x, y)=($ $\square$

The following dot plot outlines the results of a set of scores on a standardized exam.
How many data items exist in the data set? $\square$ What is the mode of the data set? $\square$ What percent of values are greater than 32? Answer with a whole number. $\square$ \%

Use the function below to answer the following questions. $m(x)=5^{x+4}$ (a) Use transformations of the graph of $y=5^{x}$ to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote.
Part: $0 / 3$

To make $48+34$ easier to solve, Lou decides to first add on from 48 to get to the next ten:
Add on to get to 50 . $48+2=50$
How much more does Lou need to add on? $\begin{aligned} & 48+34 \\ = & 48+(2+\square) \end{aligned}$

Example 4. Following is the graph of $\mathrm{f}(\mathrm{x})$
Find: 3) $\lim _{x \rightarrow+\infty} f(x)$ 4) $\lim _{x \rightarrow-\infty} f(x)$

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Under what circumstances will the solubility of gases in water increase? A. Increasing P \& Increasing T B. Decreasing $P \&$ Decreasing $T$ C. Increasing $P \&$ Decreasing $T$ D. Decreasing $P \&$ Increasing T E. None of the above.

Estimate. $641 \div 23 \approx$
Choose 1 answer: (A) 30 (B) 300 (C) 3,000 (D) 30,000

Assume $X$ has a normal distribution $N\left(3,8^{2}\right)$ . Find $E(8 X-9)^{2}$

NAME More Decimal Practice page 2 of 2 Story Problems Show your work using numbers, labeled sketches, or words. 6 Rachel has $\$ 10.00$ . She wants to buy a book that costs $\$ 6.79$ . Will she have enough money left over to buy a pen for $\$ 3.50$ ? Explain.

$\begin{array}{l}x-6 y=\frac{56}{17} \\ y=3 x-\frac{47}{34}\end{array}$

2. بين اي من المجموعات التالية تكون متراصة, مع التوضيح $\{x \in R:|x|=1\} \quad .3$ $[-1,1] .2$ $[0,1] \quad .1$

$\begin{array}{l}-7 r+10 p=-\frac{137}{9} \\ 2 r+6 p=\frac{16}{3}\end{array}$

9. Find all the critical values of the function below. * $y=x^{4}-4 x^{3}+12$ $x=0$ only $x=0,12,24$ $x=3$ only $x=R^{3}$ There are no critical values

8. What proportion of a normal distribution is located between each of the following $z$ -score boundaries? a. $z=-0.25$ and $z=+0.25$

Use the Binomial Theorem to expand the binomial: $\left(x^{8}+\sqrt{x}\right)^{3}$

188. L'area dei settori circolari rappresentati è una certa frazione di quella dell'intero cerchio. Precisa in ciascun caso di quale frazione si tratta. a. d. b. $\qquad$ e. c. f.

Which of the following is true about the base $b$ of a logarithmic function? $b=0$ and $b=1$ $b>0$ and $b=1$ $b<0$ and $b=1$ b : 0 ando b

(b) $\sum_{n=1}^{\infty} \arctan n$ ;