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Problem 10801

17. $\begin{aligned} r-2 s & =0 \\ 4 r-3 s & =15\end{aligned}$

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Problem 10802

Find a basis for the null space of the matrix given below. $\left[\begin{array}{rrrrr} 1 & 1 & -2 & -2 & 4 \\ 0 & 1 & 0 & -3 & -3 \\ 0 & 0 & -6 & 0 & 12 \end{array}\right]$
A basis for the null space is $\square$ (Use a comma to separate answers as needed.)

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Problem 10803

39. Find the acceleration of the body of mass 5.0 kg shown below.

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Problem 10804

40. In the following figure, the horizontal surface on which this block slides is frictionless. If the two forces acting on it each have magnitude $F=30.0 \mathrm{~N}$ and M $=10.0 \mathrm{~kg}$ , what is the magnitude of the resulting acceleration of the block?

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Problem 10805

Two muscles in the back of the leg pull upward on the Achilles tendon, as shown below. (These muscles are called the medial and lateral heads of the gastrocnemius muscle.) Find the magnitude and direction of the total force on the Achilles tendon. What type of movement could be caused by this force?

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Problem 10806

After a mishap, a $76.0-\mathrm{kg}$ circus performer clings to a trapeze, which is being pulled to the side by another circus artist, as shown here. Calculate the tension in the two ropes if the person is momentarily motionless. Include a free-body diagram in your solution.

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Problem 10807

Select the appropriate word or phrase to complete the sentence.
The number of degrees of freedom for the Student's $t$ -test of a population mean is always 1 less than the (Choose one) $\nabla$ .

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Problem 10808

- 37,500 m² - $0.0375 \mathrm{~m}^{2}$ - $0.0000375 \mathrm{~m}^{2}$ - $37,500,000 \mathrm{~m}^{2}$

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Problem 10809

It Tate High School, students' unweighted GPAs are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5 ? (Hint: empirical rule)
Hint: Set up your normal distribution bell curve using the mean and standard deviation and find which standard' deviation 2.3 and 3.5 fall between.

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Problem 10810

The HTML \&marquee> element is used to insert a scrolling message. It is non-standard, obsolete, and should not be used in modern web design. Nevertheless, the feature was implemented in early web browsers by repeatedly replacing a string of text with a modified string in which all characters of the string were repositioned 1 index position to the left (for left-scrolling) or to the right (for right-scrolling).
Write a program that, given a string of text, prints each of the iterations of a left-scrolling message for one full cycle of the marquee message.
Inputs - The first line of input will state the number of test cases, $n$ , to follow. - Each test case consists of a single line of text of length $m$ .
Constraints - $1<=\mathrm{n}<20$ - $1<m<100$
Output - For each marquee message, print a list of the $m$ iterations of the message, one line per left-scrolling cycle. - Follow each marquee list with a blank line, as in the example output shown below.
Example Input File: dataBravo. txt 2 test cases Scroll Left Marquee
Example Output To Screen: \{System, out\} Scroll Left croll Lefts roll Leftsc oll LeftScr II Leftscro I LeftScrol LeftScroll LeftScroll eftScroll L

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Problem 10811

12 In a bag there are only red counters, blue counters and white counters. A counter is taken at random from the bag. The table shows the probability of getting a red counter. \begin{tabular}{lcll|} \hline Colour & Red & Blue & 0.4 \\ \hline Probability & 0.2 & 0.4 & 0.4 \end{tabular}
The probability of getting a blue counter is the same as the probability of getting a white counter. (a) Complete the table.
There are 18 red counters in the bag. (b) Work out the total number of counters in the bag. (4 marks)

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Problem 10812

Assume $X$ has a normal distribution $N\left(9,5^{2}\right)$ . Find $E(5 X-4)^{2}$
Answer: $\square$

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Problem 10813

Find class boundaries, midpoint, and width for the class. 8.12-13.48
Part: $0 / 3$
Part 1 of 3
The class boundaries for the class are $\square$ - $\square$ Skip Part Check

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Problem 10814

Fill in each blank. $\begin{array}{l} 6+\frac{6}{5}+\frac{6}{25}+\frac{6}{125} \ldots \\ \lim _{n \rightarrow \infty} a_{n}= \\ \lim _{n \rightarrow \infty} S_{n}= \end{array}$ $\square$ $\square$

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Problem 10815

Question 12, Question Points: 0 of 1 Save
About $33 \%$ of the population in a large region are between the ages of 40 and 65 , according to the country's census. However, only $3 \%$ of the 2900 employees at a company in the region are between the ages of 40 and 65 . Lawyers are concerned that the company is engaging in age discrimination, not hiring enough people in the age group 40 to 65 . Assume the number of employees inthis compnay is a sample. Check whether the conditions for using the one-proportion $z$ -test are met.
Are all the conditions satisfied? Select all that apply. A. No, the Large Population condition is not satisfied or cannot be reasonably assumed. B. No, the Independence condition is not satisfied or cannot be reasonably assumed. C. No, the Large Sample Size condition is not satisfied or cannot be reasonably assumed. D. No, the Random Sample condition is not satisfied or cannot be reasonably assumed. E. Yes, all conditions are satisfied or can be reasonably assumed.

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Problem 10816

2/14
Which set contains the value below? $\sqrt{50}$
A Rational Numbers B Natural Numbers C Integers D Irrational Numbers

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Problem 10817

Part: $0 / 8$
Part 1 of 8 (a) Graph $f(x)=x^{2}-2 ; x \leq 0$ .

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Problem 10818

2. Describe the behavior of the function in words. A complete description would describe the initial value and would use descriptors such as "decays/grows by", "factor of," "\% growth/decay", etc. If the initial value was not specified in the article, make up a reasonable initial value and defend your choice. You are welcome to rescale the input (for example, time) at your convenience; if you do this just explain why you did it. Initial value is zero. The function describes exponential grouth. 100 deaths at day 0 . $600=a b^{t}$ $1900(1+r)^{t}$
3. Give an algebraic formula for the function, and define each of your variables with units. $\begin{array}{l} D(t)=D_{0}+b_{k G F}^{t} \\ D=\text { \#of deaths } t=\text { days }>1500=100 \cdot b^{15} \\ b^{15}=\frac{1500}{100}=15 \\ 6^{1 / 10} \approx 1.174 \\ 1,174^{15}=15 \end{array}$
4. Identify the growth factor and the growth or decay rate for the function. aproxmitly 1.174 , growth rate is about $17.4 \%$
5. Construct a table of values for the function. Include at least 5 sets of data points.
6. In your table, demonstrate where/how you can see the growth factor.

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Problem 10819

Dicarbon tetrahydride has $\qquad$ valence electrons $\qquad$ electron domains $\qquad$ Bonding directions $\qquad$ Molecular shape Around its central carbon atom
Word Bank: 3 12 Trigonal Planar Bent Trigonal pyramidal Bent Tetrahedral 3 Linear
Blank 1: $\square$ Blank 2: $\square$ Blank 3: $\square$ Blank 4: $\square$

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Problem 10820

Consider the following polynomial function. $f(x)=(x+1)(x-1)(x-3)$
Answer the questions regarding the graph of $f$ . Then, use this information to graph the function. (a) Choose the end behavior of the graph of $f$ .
Choose One (b) Ust each real zero of $f$ according to the behavior of the graph at the $X$ -axis near that zero. If there is more than one answer, separate them with commas. If there is no answer, click on "None",
Zero(s) where the graph crosses the $X_{\text {-axis: }}$ $\square$ Zero(s) where the graph touches, but does not cross the $X$ -axis: $\square$ (c) Find the $y$ -Intercept of the graph of $f$ : (d) Graph $f(x)=(x+1)(x-1)(x-3)$ by doing the following. - Plot all polnts where the graph of $f$ intersects the $x$ -axis or $y$ -axis. - For each polnt on the $\boldsymbol{X}$ -axis, select the correct behavior. - click on the graph icon.

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Problem 10821

1. Find the condition on the parameters $a, b$ , and variable $x$ for which the following infinte sum converges: $\sum_{n=0}^{\infty}(a x)^{n}(b x)^{n}$

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Problem 10822

The sulfate ion has $\qquad$ T/alence electrons $\qquad$ electron domains $\qquad$ Bonding directions $\qquad$ Molecular Shape around the central sulfur atom
Word Bank: Trigonal pyramidal Trigonal Planer Bent 32 Tetrahedral Linear Bent 4 4
Blank 1: $\square$ Blank 2: $\square$ Blank 3: $\square$ Blank 4: $\square$

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Problem 10823

Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. \begin{tabular}{|c|c|} \hline System A $\begin{array}{r} 5 x-y=-5 \\ -5 x+y=-5 \end{array}$ & \begin{tabular}{l} The system has no solution. The system has a unique solution: $(x, y)=(\square, \square)$ The system has infinitely many solutions. \\ They must satisfy the following equation: $y=$ $\square$ \end{tabular} \\ \hline System B $\begin{aligned} 3 x-y-6 & =0 \\ -3 x+y & =-6 \end{aligned}$ & \begin{tabular}{l} The system has no solution. The system has a unique solution: $(x, y)=(\square, \square)$ The system has infinitely inany solutions. \\ They must satisfy the following equation: $y=$ $\square$ \end{tabular} \\ \hline \end{tabular}

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Problem 10824

Translate each graph as specified below. (a) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=(x-1)^{2}$ . (b) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=x^{2}+2$ .

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Problem 10825

- $\frac{5}{\sqrt{x}} \leq \frac{3 \sqrt{x}}{2}$ - $\frac{1}{-x+2} \geq-4$

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Problem 10826

Use the polynomial to answer the questions: $-23 x^{7}+x^{9}-6 x^{3}+10+2 x^{2}$
What is the degree of the polynomial?
What is the leading coefficient of the polynomial? $\square$

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Problem 10827

Given that $\triangle C A T \cong \triangle D O G$ , which of the following must be true? $\overline{C T} \cong \overline{D O}$ $\overline{T C} \cong \overline{G D}$ Two of these $\angle A \cong \angle O$

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Problem 10828

Given that $\triangle C A R \cong \triangle P E T$ , which of the following must be true? $\angle C \cong \angle P$ $\overline{R A} \cong \overline{T P}$ Two of these $\overline{C R} \cong \overline{E T}$

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Problem 10829

Given that $\triangle J A M \cong \triangle B R O$ , which of the following must be true? Two of these $\overline{J M} \cong \overline{R B}$ $\overline{J A} \cong \overline{B O}$ $\angle J \cong \angle B$

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Problem 10830

a. What does each of these points represent in this situation: $(0,0),(1,55)$ , and $(5,275)$ ? b. What is the constant of proportionality?
Mr. Brown's Road Trip c. What equation relates the distance, $y$ , and the time, $x$ ? $y=55 x$

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Problem 10831

What congruency statement will CPCTC allow us to state about the triangles shown? $\overline{B Z} \cong \overline{L D}$ Two of these $\angle Z \cong \angle C$ $\overline{A Z} \cong \overline{D C}$

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Problem 10832

QUESTION 13 According to the Atkinson-Shiffrin model, $\qquad$ A. colors are more easily named when they appear printed in that color B. happy memories are processed better than sad memories C. memories are processed the same way that a computer processes information D. short-term memory itself has different forms

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Problem 10833

$6 x+3 y<0$

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Problem 10834

What congruency statement will CPCTC allow us to state about the triangles shown? $\overline{M N} \cong \overline{B C}$ $\angle M \cong \angle A$ $\angle P \cong \angle B$ Two of these

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Problem 10835

Based on a survey, assume that $39 \%$ of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of $n, x, p$ , and $q$ .
The value of $n$ is $\square$ (Type an integer or a decimal. Do not round.)

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Problem 10836

Write the domain in interval notation. $f(x)=\ln \left(x^{2}+9\right)$
The domain is $\square$

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Problem 10837

A 800 cd incandescent lamp is fixed at a height of 2 meters directly above a long bench, and the value of illuminance at point $P$ is to be determined.

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Problem 10838

11. How many real third roots does 1,728 have?
12. How many real sixth roots does 15,625 have?

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Problem 10839

18 19 20 21 22 23 24 25 26 27
Write the domain in interval notation. Write your answers as integers or simplified fractions if necessary. $h(x)=\log _{2}(6 x+7)$
The domain is $\square$ . \begin{tabular}{ccc} \hline $\sqrt{\square}$ & $(\square, \square)$ & $\frac{\square}{\square}$ \\ { $[\square, \square]$ } & $(\square, \square]$ & { $[\square, \square)$ } \\ $\square \cup \square$ & $\infty$ & $-\infty$ \end{tabular}

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Problem 10840

In the figure below, suppose $m \angle 2=47^{\circ}$ and $m \angle 3=81^{\circ}$ .
Complete the statements below.
The sum of the interior angle measures of a triangle must be $\square^{\circ}$ . So, $m \angle 1+m \angle 2+m \angle 3=$ $\square$ ${ }^{\circ}$ .
We are given that $m \angle 3=81^{\circ}$ . So, $m \angle 1+m \angle 2=\square^{\circ}$ . From the figure, we can see that $m \angle 3+m \angle 4=\square^{\circ}$ . Since $m \angle 3=81^{\circ}$ , it must be that $m \angle 4=\square^{\circ}$ . Therefore, $m \angle 4$ (Choose one) $\nabla \mathrm{m}<1+m<2$ . This result is an example of the Exterior Angle Property of Triangles. For any triangle, the measure of an exterior angle (Choose one)

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Problem 10841

Which point is on the graph of $f(x)=3 \cdot 5^{x} ?$ A. $(1,15)$ B. $(15,1)$ C. $(0,0)$ D. $(0,15)$

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Problem 10842

Which pair of binomials matches the given polynomial? $25 a^{2}+70 a b+49 b^{2}$ $(5 a+7)(5 a+b)$ $(5 a+7)(5 a-b)$ $(5 a+7 b)(5 a+7 b)$ $(5 a+7)(5 a+5 b)$

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Problem 10843

15) $\begin{array}{l} y>2 x-3 \\ y<\frac{1}{3} x+2 \end{array}$

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Problem 10844

16) $\begin{array}{l} y \geq x-1 \\ y<-2 \end{array}$

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Problem 10845

Do students perform the same when they take an exam alone as when they take an exam in a classroom setting? Eight students were given two tests of equal difficulty. They took one test in a solitary room and they took the other in a room filled with other students. The results are shown below.
Exam Scores \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline Alone & 77 & 80 & 78 & 84 & 89 & 86 & 86 & 67 \\ \hline Classroom & 81 & 83 & 90 & 89 & 92 & 89 & 82 & 69 \\ \hline \end{tabular}
Assume a Normal distribution. What can be concluded at the the $\alpha=0.05$ level of significance 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
⓪ (please enter a decimal) $H_{1}$ : Select an answer Select an answer Select an answer (t) (Please enter a decimal) 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 $\square$ $\alpha$ e. Based on this, we should Select an answer $\square$ $\square$ 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 eight students scored the same on average taking the exam alone compared to the classroom setting. The results are statistically insignificant at $\alpha=0.05$ , so there is statistically significant evidence to conclude that the population mean test score taking the exam alone is equal to the population mean test score taking the exam in a classroom setting. The results are statistically insignificant at $\alpha=0.05$ , so there is insufficient evidence to conclude that the population mean test score taking the exam alone is not the same as the population mean test score taking the exam in a classroom setting. The results are statistically significant at $\alpha=0.05$ , so there is sufficient evidence to conclude that the population mean test score taking the exam alone is not the same as the population mean test score taking the exam in a classroom setting.

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Problem 10846

Label each of the clauses in the sentence below as either main $(M)$ or subordinate (S).
After they had been for a swim, the boys had a drink because they were very thirsty. $\square$

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Problem 10847

CARD 10: Mr. Wason wrote the following equation on the board and asked his students to describe the slope of the equation's graph and how it relates to the $x$ -axis. $y=-17$
Eden says the line will be perpendicular to the $x$ -axis and have an undefined slope. Elyṣe Eden Justify your answer below. 1 point Your answer

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Problem 10848

A random variable X is not normally distributed. It has a mean of 51 and a standard deviation of 3 . List the givens with correct symbols: ? $0=51$ ? ( 0 ) $=3$ a) If you take a sample of size 23 , can you say what the shape of the sampling distributio. for the sample mean is? ? 0 Why or why not? Check all that apply. $\sigma$ is unknown $n$ is less than 30 population is normal $n$ is at least 30 $\sigma$ is known population is not normal b) For a sample of size 23, state the mean and the standard deviation of the sampling distribution of the sample mean. mean of the sampling distribution of the sample mean when $\mathrm{n}=23$ : $\square$ standard deviation of the sampling distribution of the sample mean when $n=23$ rounded to two decimal places: $\square$ c) If you take a sample of size 38 , can you say what the shape of the distribution of the sample mean is? $\square$

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Problem 10849

Ticket: Identify the following the graph: vertex: $(4,-1)$ Focus: $(4,1)$ P -value: 5 Directrix: $y=-9$

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Problem 10850

3. If $S(N)=\sum_{k=1}^{N} k$ then which value $\sum_{n=1}^{S(N)} 4^{n}=\frac{4}{3}\left(4^{55}-1\right)$

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Problem 10851

27 Which property does the equation below demonstrate? $3(-5 \cdot 10)=(-5 \cdot 10) 3$ (A) Commutative Property of Multiplication (B) Associative Property of Multiplication (C) Identity Property of Multiplication (D) Distributive Property

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Problem 10852

2. Determine whether the following sets $V_{1}$ and $V_{2}$ correspond to vector spaces by verifying the 10 axioms. b) Let $V_{2}=\mathbb{R}^{+}$ and define addition and scaler multiplication as follows: If $\vec{a}=a$ and $\vec{b}=b$ (for $a, b \in \mathbb{R}^{+}$ ) then define $\vec{a} \oplus \vec{b}=a \cdot b$
And if $c \in \mathbb{R}$ , then define $c \odot \vec{a}=a^{c} .$

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Problem 10853

Composites Involving Exponential Functions Find the domain and range for each of the functions in Exercis 21-24.
21. $f(x)=\frac{1}{2+e^{x}}$
22. $g(t)=\cos \left(e^{-t}\right)$
23. $g(t)=\sqrt{1+3^{-t}}$
24. $f(x)=\frac{3}{1-e^{2 x}}$

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Problem 10854

```latex \begin{align} &\text{1-F: } [-1,8) \rightarrow \mathbb{R} \\ &F(x) = -2x - 5 \\ &\text{Fonk. İnceleyelim (Grafik, artanlık-azalanlık, max-min, Fonk. Sıfır., Fonksiyonun işareti)} \\ &F(x) = 2 \\ &f(x) \text{ örten} \end{align}

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Problem 10855

9. Explain why rewriting $\sqrt{50}$ as $\sqrt{25} \cdot \sqrt{2}$ helps you simplify $\sqrt{50}$ , but rewriting $\sqrt{50}$ as $\sqrt{10} \cdot \sqrt{5}$ does not.

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Problem 10856

Cole Eagan Enterprises December 31, 2022 \begin{tabular}{|c|c|c|c|} \hline & & & \\ \hline Cash & \multirow[t]{2}{}{\4,500} & Accounts Payable & \multirow[t]{2}{}{\ $10,000$ } \\ \hline Accounts Receivable & & Notes Payable & \\ \hline Inventory & & Accruals & 1,000 \\ \hline Total Current Assets & & Total Current Liabilities & \\ \hline Net Fixed Assets & & Long-Term Debt & \\ \hline Total Assets & & Stockholders' Equity & \\ \hline & & Total Liabilities \& S.E. & \\ \hline \end{tabular}
Information (2022 values)
1. Sales totaled $\$ 120000$ .
2. The gross profit margin was 0.27 .
3. Inventory turnover was 4.5 .
4. There are 360 days in the year.
5. The average collection period was 75 days.
6. The current ratio was 2.E.
7. The total asset turnover was 1.13.
8. The debt ratio was 0.54 .
Inventory for Cole Eagan Enterprises in 2022 was $19466.6667$
Accounts receivable for Cole Eagan Enterprises in 2022 was $25000.0000$
Total current liabilities for Cole Eagan Enterprises in 2022 was $18833,3333$

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Problem 10857

Perform the elementary row operation $-4 R_{1}+R_{3} \rightarrow R_{3}$ on the given matrix. Write numbers as integers or simplified fractions. $\left[\begin{array}{lll:l} 2 & 3 & 1 & 6 \\ 2 & 3 & 1 & 7 \\ 2 & 3 & 0 & 1 \end{array}\right]$
Resulting matrix: $\left[\begin{array}{cc:c} \square & \square & \square \\ \square & \square & \square \\ \square & \square & \square \\ \square & \square & \square \end{array}\right]$

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Problem 10858

19 Die Verkaufszahlen (in 1000 Stück) einer neuen Schokolade werden durch die Funktion f mit $f(t)=4-4 \cdot e^{-0,1 t}$ beschrieben ( $t$ in Wochen). Berechnen Sie, wann die Verkaufszahlen innerhalb einer Woche um hundert Stück zunehmen.

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Problem 10859

Ch 08 Sec 5 Ex 12 - Inclusion-Exclusion
Find the number of positive integers not exceeding 10,010 that are not divisible by $3,4,7$ , or 11 .

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Problem 10860

The graph shows a function. Is the function even, odd, or neither? Use the drop-down menus to explain.
Click the arrows to choose an answer from each menu. For the function on the graph. opposite $x$ -vatues have choose:values. This shows the function is choose because its graph has Choose..

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Problem 10861

mdlp.org/members/courses/testmaker/engine_v2/mainpage.php?csid=325861\&aid=u1ts\&equivid=ma301h\&checksum=be503c4158 inks Classes Kahoot! Blooket SmartPass clever Marana Distance Le..
Unit 1 Test
1. Choose three points that are NOT collinear. $u, v, w$ $P, Q, R$ $U, V, R$ Next

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Problem 10862

Perform the elementary row operation $\frac{1}{2} R_{1} \rightarrow R_{1}$ on the given matrix. Write numbers as integers or simplifled fractions. $\left[\begin{array}{lll:l} 3 & 2 & 4 & 4 \\ 1 & 5 & 1 & 1 \\ 3 & 5 & 1 & 1 \end{array}\right]$
Resulting matrix: $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$

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Problem 10863

Perform the elementary row operation $\frac{1}{4} R_{2}+R_{1} \rightarrow R_{1}$ on the given matrix. $\left[\begin{array}{cc:c} 2 & 4 & 5 \\ 12 & 4 & 8 \end{array}\right]$
Resulting matrix:

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Problem 10864

The 'pizza connection' is the principle that the price of a slice of pizza is always about the same as the subway fare. Use the pizza and subway cost data in the table below to determine whether there is a linear correlation between these two items. Construct a scatterplot, find the value of the linear correlation coefficient r , and find the P -value of r . Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Based on these results, does it appear that the subway fare is always about the same as a slice of pizza? Use a significance level of $\alpha=0.05$ .
Click here for data on pizza costs and subway fares over the years.
Construct a scatterplot. Choose the correct graph below. A. B. c. D.
Determine the linear correlation coefficient. The linear correlation coefficient is $\mathrm{r}=$ .729 $\square$ (Round to three decimal places as needed.) Pizza Cost and Subway Fares \begin{tabular}{|lcccccccccc|c|} \hline Year & 1960 & 1973 & 1986 & 1995 & 2002 & 2003 & 2009 & 2013 & 2015 & 2019 & a \\ Pizza Cost & 0.15 & 0.35 & 1.00 & 1.25 & 1.75 & 2.00 & 2.25 & 2.30 & 2.75 & 3.00 \\ Subway Fare & 0.15 & 0.30 & 0.95 & 1.40 & 1.50 & 2.05 & 2.25 & 2.50 & 2.75 & 2.70 \\ CPI & 29 & 43.9 & 109.7 & 152.1 & 180.0 & 184.0 & 214.5 & 233.0 & 237.0 & 252.2 \\ \hline \end{tabular}

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Problem 10865

Determine whether the equation defines $y$ as a function of $x$ . (See Example 9.) $3|x|+y=0$ is a function is not a function

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Problem 10866

Perform the elementary row operation $\frac{1}{3} R_{2} \rightarrow R_{2}$ on the given matrix. $\left[\begin{array}{cc:c} 1 & 3 & 2 \\ -6 & 9 & 3 \end{array}\right]$
Resulting matrix: $\square$ $\square$ $\square$ $\square$ $\square$ $\square$

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Problem 10867

In some South Asian weddings, the groom travels to the wedding on a white horse in a procession called a baraat.
A farm charges $\$ 1,000$ to rent a horse for a baraat, which includes transporting the horse up to 15 miles to the wedding. A $\$ 2.50$ fee applies for each mile beyond the first 15. An employee represents the situation with the function $C(m)=1,000+2.50 \mathrm{~m}$ and determines that the total cost to rent a horse for a wedding 25 miles away is $\$ 1,062.50$ .
Is the employee correct? Use the drop-down menus to explain.
Click the arrows to choose an answer from each monu. The function roprosonts the situation if $\boldsymbol{m}$ is tho Chooso... The employeo should substitute chooso... $\square$ for $m$ and determine that the cost to rent and transport tho horso is chooso... - Tho omployoo
Chooso... correct.

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Problem 10868

The student photo club at the college is planning on selling prints that it makes to raise money. The profit $P$ , in dollars, from selling $x$ prints is given by the function: $P(x)=217 x-2 x^{2}$ a) Find the number of prints, to the nearest whole print, that need to be sold to maximize the profit. You must sell $\square$ prints to maximize the profit. b) The maximum profit, to the nearest dollar, is $\$$ $\square$ . (No dollar signs or comma's.)

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Problem 10869

The diagram shows part of the graph of $y=a+b \sin x$ . Find the values of the constants $a$ and $b$ . $\qquad$ $\qquad$

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Problem 10870

6) $[\mathrm{AC}](12) \mathrm{A}$ lab assistant sneaks into a grizzly bear's den during the winter months and hooks up a machine to monitor the bear's lung capacity in breathing. Luckily for the lab assistant, the bear is hibernating now. The lung capacity of the bear can be modelled by a sinusoidal function. a) Explain why the breathing of a hibernating grizzly bear can be modeled by a periodic function. b) Explain the meaning of the period in the context of this situation.

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Problem 10871

The 'pizza connection' is the principle that the price of a slice of pizza is always about the same as the subway fare. Use the pizza and subway cost data in the table below to determine whether there is a linear correlation between these two items. Construct a scatterplot, find the value of the linear correlation coefficient r , and find the P -value of r . Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Based on these results, does it appear that the subway fare is always about the same as a slice of pizza? Use a significance level of $\alpha=0.05$ .
Click here for data on pizza costs and subway fares over the years.
Construct a scatterplot. Choose the correct graph below. A. B. C. D.
Determine the linear correlation coefficient. The linear correlation coefficient is $r=0.987$ . (Round to three decimal places as needed.) Determine the null and alternative hypotheses. $\begin{array}{l} H_{0}: \rho=0 \\ H_{1}: \rho \neq 0 \end{array}$ (Type integers or decimals. Do not round.) Pizza Cost and Subway Fares \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Year & 1960 & 1973 & 1986 & 1995 & 2002 & 2003 & 2009 & 2013 & 2015 & 2019 & 맘 \\ \hline Pizza Cost & 0.15 & 0.35 & 1.00 & 1.25 & 1.75 & 2.00 & 2.25 & 2.30 & 2.75 & 3.00 & \\ \hline Subway Fare & 0.15 & 0.30 & 0.95 & 1.40 & 1.50 & 2.05 & 2.25 & 2.50 & 2.75 & 2.70 & \\ \hline CPI & 29 & 43.9 & 109.7 & 152.1 & 180.0 & 184.0 & 214.5 & 233.0 & 237.0 & 252.2 & \\ \hline \end{tabular}

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Problem 10872

15) Find the resulting interval. $(2,9] \cup[5, \infty)$ A) $(2,5]$ B) $(-\infty, \infty)$ C) $[5, \infty)$ D) $(2, \infty)$

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Problem 10873

6.2.6. A random sample of size 16 is drawn from a normal distribution having $\sigma=6.0$ for the purpose of testing $H_{0}: \mu=30$ versus $H_{1}: \mu \neq 30$ . The experimenter chooses to define the critical region $C$ to be the set of sample means lying in the interval (29.9, 30.1). What level of significance does the test have? Why is $(29.9,30.1)$ a poor choice for the critical region? What range of $\bar{y}$ values should comprise $C$ , assuming the same $\alpha$ is to be used?

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Problem 10874

Find an equation of the tangent line to the curve $x=\sin (5 t), \quad y=\sin (6 t)$ at $t=\pi$ . $\begin{array}{l} x(t)=\mathcal{X} \\ y(t)=\square \end{array}$ (Note that because the correctness of a parametrically described line depends on both $x(t)$ and $y(t)$ , both of your answers may be marked incorrect if there is an error in one of them.)

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Problem 10875

$g(x)=-2 \cos \left(\frac{1}{3}\left(x+20^{\circ}\right)\right)+4$ e. State the equation of the axis of the curve f. State the amplitude g. State the period h. Does this sinusoidal function have a plase stifs to the lef or righte?

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Problem 10876

How many extraneous solutions does the equation below have? $\frac{2 m}{2 m+3}-\frac{2 m}{2 m-3}=1$ 0 1 2 3

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Problem 10877

16. $\mathrm{Be}_{3}\left(\mathrm{PO}_{4}\right)_{2}$ compound name?
17. ammonium fluoride compound formula?
18. $\mathrm{Mg}_{3}\left(\mathrm{PO}_{4}\right)_{2}$ compound name?
19. sodium acetate compound formula?
20. gallium nitrate compound formula?
21. gallium hydroxide compound formula?
22. zinc acetate compound formula?
23. $\mathrm{Be}(\mathrm{OH})_{2}$ compound name?

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Problem 10878

The position versus time for a certain particle moving along the $x$ axis is shown in the figure below. Find the average velocity in the following time intervals. (1) (a) 0 to 2 s
10 The graph is a plot of position versus time, not velocity versus time. $\mathrm{m} / \mathrm{s}$ (b) 0 to 4 s
5 5 is the position of the particle at $4 \mathrm{~s} . \mathrm{m} / \mathrm{s}$ (c) 4 to 6 s
0 The position of the particle is zero at this time. The average velocity is not. $\mathrm{m} / \mathrm{s}$ (d) 4 to 7 s $-5 x$ Average velocity involves the displacement, not the total distance traveled. $\mathrm{m} / \mathrm{s}$ (e) 0 to 7 s -5 What is the displacement of the object between 0 and $7 \mathrm{~s} ? \mathrm{~m} / \mathrm{s}$

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Problem 10879

The histogram represents the number of absences for 15 students. How many students had between 6 and 15 absences? 5 7 8 2

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Problem 10880

Anwendung: Die Flugbahn eines Papierfliegers wird durch folgende Funktionsgleichung beschrieben: $f(x)=-0,005 x^{2}+0,1 x+1,5$ a) Aus welcher Höhe wird abgeworfen? b) Wie weit geht der Wurf? 30 m 1,5 - c) Wie hoch fliegt der Flieger maximal? 2 m d) Fünf Meter hinter dem Abwurf steht eine 1,80 Hohe Mauer. Fliegt der Flieger über die Mauer? $\qquad$ -

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Problem 10881

Juan collected data on the colours of cars passing his school for ten minutes each hour each day for five days. The data he collected is known as which of the following? A) primary data B) unreliable data C) biased data D) secondary data

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Problem 10882

The line of best fit and the correlation coefficient are calculated for a set of data. The value of the correlation coefficient is $r=0.10$ . What is the strength and type of the correlation for this data? A) weak and negative B) weak and positive C) strong and negative D) strong and positive

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Problem 10883

\begin{align} 1) & \quad f(x) = 1 - 4x + x^5 \\ 2) & \quad f(x) = x^2 + 3 \\ 3) & \quad f(x) = 4 - x^2 \\ 4) & \quad f(x) = 2x^2 + 8x + 7 \\ 5) & \quad f(x) = -x^2 + 10x - 22 \\ 6) & \quad f(x) = 4x^2 + 24x \\ 7) & \quad f(x) = 6x - x^2 \\ \end{align}
Find the range of each function listed above.

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Problem 10884

Enter the values to complete the box plot of dataset $23,24,25,26,27,28$ . (2 points)

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Problem 10885

In Exercises 41-46, describe how to transform the graph of $y=\ln x$ into the graph of the given function. Sketch the graph by hand and support your sketch with a grapher.
41. $f(x)=\ln (x+3)$
42. $f(x)=\ln (x)+2$
43. $f(x)=\ln (-x)+3$
44. $f(x)=\ln (-x)-2$
45. $f(x)=\ln (2-x)$
46. $f(x)=\ln (5-x)$

See Solution

Problem 10886

Determine whether the points $(-2,5),(8,0)$ , and $\left(7, \frac{1}{2}\right)$ are solutions to the given system. $\begin{array}{l} x+2 y=8 \\ y=-\frac{1}{2} x+4 \end{array}$
Part 1 of 3
The point $(-2,5)$ is $\square$ a solution.
Part: $1 / 3$
Part 2 of 3
The point $(8,0)$ (Choose one) $\nabla$ a solution. $\square$

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Problem 10887

Table 3.18 Richter Scale \begin{tabular}{cc} Magnitude $(x)$ & Ground Motion $(y)$ \\ \hline 1 & 10 \\ 2 & 100 \\ 3 & 1000 \\ 4 & 10,000 \\ 5 & 100,000 \\ 6 & $1,000,000$ \\ \hline \end{tabular} (a) What is the difference between earthquakes of magnitudes 2 and 3 ? And of magnitudes 2 and 5? (b) Draw a scatter plot of the data in Table 3.18.

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Problem 10888

7 mongeor of icefice Problems of hobryeon $\%$ scalled colby a. The value of $x$ is 6 , what is the value of $y$ ? b. What is the scale factor?
2. Figure $f$ is a scaled copy of figuree. We know: $\begin{array}{c} \circ A B=6 \\ \circ C D=3 \\ \cdot X Y=4 \\ \cdot Z M=a \end{array}$
Select all true equations. A. $\frac{6}{3}=\frac{4}{a}$ B. $\frac{6}{4}=\frac{3}{a}$ C. $\frac{3}{4}=\frac{6}{a}$ D. $\frac{6}{3}=\frac{a}{4}$ E. $\frac{6}{4}=\frac{a}{3}$ $F \cdot \frac{3}{4}=\frac{a}{6}$

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Problem 10889

Problem 2 ( 20 points). Determine the nominal maximum size for the coarse aggregate for the structural element in the figure. Select the appropriate commercial size for the coarse aggregate. \begin{tabular}{|c|c|c|c|c|c|c|} \hline & yestithation & & Bar Diameter [ing] & Bar Diameter [mm] & Cross-sertional Âpea (|in' $\mid$ & \begin{tabular}{l} Cross- \\ Sectional Area \\ (mm²) \end{tabular} \\ \hline 43 & & 0376 & 0.735 & 9 925 & 011 & 71 \\ \hline H4 & & 0.658 & 0.5 & 127 & 02 & 129 \\ \hline 45 & & 1.043 & 0625 & 15975 & 0,31 & 200 \\ \hline 46 & & 1.502 & 0.75 & 1905 & 0,44 & 284 \\ \hline 7 & & 2.044 & 0875 & 22225 & 0.6 & 397 \\ \hline 48 & & 2.67 & 11 & 25.4 & 0.79 & 509 \\ \hline 49 & & 34 & 1428 & 2865 & 1. & 645 \\ \hline \#10 & & 4303 & 127 & 32.26 & 1.27 & 819 \\ \hline 11 & & $5.313$ & 141 & 3581 & 136 & 1006 \\ \hline 14 & & 7.65 & 1693 & 43 & 2.25 & 1452 \\ \hline \%18 & & 136 & 2257 & 57.33 & 4 & 2591 \\ \hline \end{tabular} - NMSmax $=1 / 5$ the narrowest dimension between sides of forms - NMSmax $=3 / 4$ clear spacing between rebars and between rebars and the form - NMSmax $=1 / 3$ depth of slabs

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Problem 10890

5. Use Pascal's Triangle to write the $u^{2} v^{5}$ term of $(u+v)^{7}$

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Problem 10891

What is the product? $(4 s+2)\left(5 s^{2}+10 s+3\right)$ $20 s^{2}+20 s+6$ $20 s^{3}+40 s^{2}+12 s$ $20 s^{3}+10 s^{2}+32 s+6$ $20 s^{3}+50 s^{2}+32 s+6$

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Problem 10892

A test is made of $H_{0}: \mu=53$ versus $H_{1}: \mu<53$ . A sample of size 37 is drawn. The sample mean and standard deviation are $\bar{x}=44$ and $s=11$ .
Part 1 of 3 (a) Compute the value of the test statistic $t$ . Round your answer to two decimal places.
The value of the test statistic is $t=-4.98$ . $\square$
Part: $1 / 3$
Part 2 of 3 (b) Is $H_{0}$ rejected at the $\alpha=0.05$ level?
We (Choose one) $\boldsymbol{\nabla}$ the null hypothesis.

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Problem 10893

The average salary for American college graduates is $\$ 48,400$ . You suspect that the average is more for graduates from your college. The 53 randomly selected graduates from your college had an average salary of $\$ 51,937$ and a standard deviation of $\$ 9,140$ . What can be concluded at the $\alpha=0.05$ level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: $H_{0}$ : ? 웅 Select an answer 0 $\square$ $H_{1}$ : ? . 0 Select an answer $\square$ c. The test statistic ? ${ }^{0}=$ $\square$ (please show your answer to 4 decimal places.) d. The $p$ -value $=$ $\square$ (Please show your answer to 4 decimal places.) e. The $p$ -value is $\square$ $\alpha$ f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly greater than 48,400 at $\alpha=0.05$ , so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is greater than 51,937 . The data suggest that the population mean is not significantly greater than 48,400 at $\alpha=$ 0.05 , so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is greater than 48,400. The data suggest that the populaton mean is significantly greater than 48,400 at $\alpha=0.05$ , so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is greater than 48,400 . h. Interpret the $p$ -value in the context of the study. There is a $0.34187113 \%$ chance of a Type I error. If the population mean salary for graduates from your college is $\$ 48,400$ and if another 53 graduates from your college are surveyed then there would be a $0.34187113 \%$ chance that the population mean salary for graduates from your college would be greater than $\$ 48,400$ . If the population mean salary for graduates from your college is $\$ 48,400$ and if another 53 graduates from your college are surveyed then there would be a $0.34187113 \%$ chance that the sample mean for these 53 graduates from your college surveyed would be greater than \ $51,937. There is a$ 0.34187113 \% $chance that the population mean salary for graduates from your college is greater than$ \ $48,400$ .

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Problem 10894

2. The Kaleido Glass Shop began business on October 1, 2020. Its first fiscal year ended on September 30, 2021. On January 1, 2021, $\$ 720$ was paid for a truck licence for the 2021 calendar year. Complete the following Questions below. a) Give the accounting entry to record the above transaction. (use t-accounts to show how the 2 accounts will be affected) b) Calculate the value for the prepaid licence on September 30, 2021. c) Calculate the truck licence expense for the fiscal period ended September 30 , 2021.

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Problem 10895

$\square$ Submit

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Problem 10896

the following data set.
The type of homes recently sold by a realtor: single-family, duplex, etc. Would you be more interested in looking at the mean, median, or mode? State your reasoning.
Answer
First, select the correct measure of center and then select the justification for your choice.
Correct measure of center mean median mode
Justification the data have measurable values with no outliers the data have no measurable values the data have measurable values with outliers

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Problem 10897

The volume of a cylinder is given by the formula $V=\pi r^{2} h$ , where $r$ is the radius of the cylinder and $h$ is the height. Which expression represents the volume of this cylinder? $2 \pi x^{3}-12 \pi x^{2}-24 \pi x+63 \pi$ $2 \pi x^{3}-5 \pi x^{2}-24 \pi x+63 \pi$ $2 \pi x^{3}+7 \pi x^{2}-18 \pi x-63 \pi$

See Solution

Problem 10898

3. The Leaning Tower of Pisa is expected to collapse if its angle of slant is less than $83^{\circ}$ . Use the measurements in the diagram to determine if the tower will collapse.

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Problem 10899

Question 4 (1 point) How will this object move? a It won't move. b It will move to the left. c It will move to the right. d It will move up.

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Problem 10900

Question 7 (1 point) What is the net force in this diagram? a $\quad 8 \mathrm{~N}$ right b $\quad 5 \mathrm{~N}$ right c 2 N right d 2 Nleft

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Analyze

Problem 10801

17. r−2s=04r−3s=15\begin{aligned} r-2 s & =0 \\ 4 r-3 s & =15\end{aligned}r−2s4r−3s​=0=15​

Problem 10802

Problem 10803

39. Find the acceleration of the body of mass 5.0 kg shown below.

Problem 10804

40. In the following figure, the horizontal surface on which this block slides is frictionless. If the two forces acting on it each have magnitude F=30.0 NF=30.0 \mathrm{~N}F=30.0 N and M =10.0 kg=10.0 \mathrm{~kg}=10.0 kg, what is the magnitude of the resulting acceleration of the block?

Problem 10805

Problem 10806

After a mishap, a 76.0−kg76.0-\mathrm{kg}76.0−kg circus performer clings to a trapeze, which is being pulled to the side by another circus artist, as shown here. Calculate the tension in the two ropes if the person is momentarily motionless. Include a free-body diagram in your solution.

Problem 10807

Select the appropriate word or phrase to complete the sentence.The number of degrees of freedom for the Student's ttt-test of a population mean is always 1 less than the (Choose one) ∇\nabla∇.

Problem 10808

- 37,500 m² - 0.0375 m20.0375 \mathrm{~m}^{2}0.0375 m2 - 0.0000375 m20.0000375 \mathrm{~m}^{2}0.0000375 m2 - 37,500,000 m237,500,000 \mathrm{~m}^{2}37,500,000 m2

Problem 10809

Problem 10810

Problem 10811

Problem 10812

Assume XXX has a normal distribution N(9,52)N\left(9,5^{2}\right)N(9,52). Find E(5X−4)2E(5 X-4)^{2}E(5X−4)2Answer: □\square□

Problem 10813

Find class boundaries, midpoint, and width for the class. 8.12-13.48Part: 0/30 / 30/3Part 1 of 3The class boundaries for the class are □\square□ - □\square□ Skip Part Check

Problem 10814

Problem 10815

Problem 10816

2/14Which set contains the value below? 50\sqrt{50}50​A Rational Numbers B Natural Numbers C Integers D Irrational Numbers

Problem 10817

Part: 0/80 / 80/8Part 1 of 8 (a) Graph f(x)=x2−2;x≤0f(x)=x^{2}-2 ; x \leq 0f(x)=x2−2;x≤0.

Problem 10818

Problem 10819

Problem 10820

Problem 10821

1. Find the condition on the parameters a,ba, ba,b, and variable xxx for which the following infinte sum converges: ∑n=0∞(ax)n(bx)n\sum_{n=0}^{\infty}(a x)^{n}(b x)^{n}n=0∑∞​(ax)n(bx)n

Problem 10822

Problem 10823

Problem 10824

Translate each graph as specified below. (a) The graph of y=x2y=x^{2}y=x2 is shown. Translate it to get the graph of y=(x−1)2y=(x-1)^{2}y=(x−1)2. (b) The graph of y=x2y=x^{2}y=x2 is shown. Translate it to get the graph of y=x2+2y=x^{2}+2y=x2+2.

Problem 10825

- 5x≤3x2\frac{5}{\sqrt{x}} \leq \frac{3 \sqrt{x}}{2}x​5​≤23x​​ - 1−x+2≥−4\frac{1}{-x+2} \geq-4−x+21​≥−4

Problem 10826

Use the polynomial to answer the questions: −23x7+x9−6x3+10+2x2-23 x^{7}+x^{9}-6 x^{3}+10+2 x^{2}−23x7+x9−6x3+10+2x2What is the degree of the polynomial?What is the leading coefficient of the polynomial? □\square□

Problem 10827

Given that △CAT≅△DOG\triangle C A T \cong \triangle D O G△CAT≅△DOG, which of the following must be true? CT‾≅DO‾\overline{C T} \cong \overline{D O}CT≅DO TC‾≅GD‾\overline{T C} \cong \overline{G D}TC≅GD Two of these ∠A≅∠O\angle A \cong \angle O∠A≅∠O

Problem 10828

Given that △CAR≅△PET\triangle C A R \cong \triangle P E T△CAR≅△PET, which of the following must be true? ∠C≅∠P\angle C \cong \angle P∠C≅∠P RA‾≅TP‾\overline{R A} \cong \overline{T P}RA≅TP Two of these CR‾≅ET‾\overline{C R} \cong \overline{E T}CR≅ET

Problem 10829

Given that △JAM≅△BRO\triangle J A M \cong \triangle B R O△JAM≅△BRO, which of the following must be true? Two of these JM‾≅RB‾\overline{J M} \cong \overline{R B}JM≅RB JA‾≅BO‾\overline{J A} \cong \overline{B O}JA≅BO ∠J≅∠B\angle J \cong \angle B∠J≅∠B

Problem 10830

a. What does each of these points represent in this situation: (0,0),(1,55)(0,0),(1,55)(0,0),(1,55), and (5,275)(5,275)(5,275) ? b. What is the constant of proportionality?Mr. Brown's Road Trip c. What equation relates the distance, yyy, and the time, xxx ? y=55xy=55 xy=55x

Problem 10831

What congruency statement will CPCTC allow us to state about the triangles shown? BZ‾≅LD‾\overline{B Z} \cong \overline{L D}BZ≅LD Two of these ∠Z≅∠C\angle Z \cong \angle C∠Z≅∠C AZ‾≅DC‾\overline{A Z} \cong \overline{D C}AZ≅DC

Problem 10832

Problem 10833

6x+3y<06 x+3 y<06x+3y<0

Problem 10834

What congruency statement will CPCTC allow us to state about the triangles shown? MN‾≅BC‾\overline{M N} \cong \overline{B C}MN≅BC ∠M≅∠A\angle M \cong \angle A∠M≅∠A ∠P≅∠B\angle P \cong \angle B∠P≅∠B Two of these

Problem 10835

Problem 10836

Write the domain in interval notation. f(x)=ln⁡(x2+9)f(x)=\ln \left(x^{2}+9\right)f(x)=ln(x2+9)The domain is □\square□

Problem 10837

A 800 cd incandescent lamp is fixed at a height of 2 meters directly above a long bench, and the value of illuminance at point PPP is to be determined.

Problem 10838

11. How many real third roots does 1,728 have?12. How many real sixth roots does 15,625 have?

Problem 10839

Problem 10840

Problem 10841

Which point is on the graph of f(x)=3⋅5x?f(x)=3 \cdot 5^{x} ?f(x)=3⋅5x? A. (1,15)(1,15)(1,15) B. (15,1)(15,1)(15,1) C. (0,0)(0,0)(0,0) D. (0,15)(0,15)(0,15)

Problem 10842

Which pair of binomials matches the given polynomial? 25a2+70ab+49b225 a^{2}+70 a b+49 b^{2}25a2+70ab+49b2 (5a+7)(5a+b)(5 a+7)(5 a+b)(5a+7)(5a+b) (5a+7)(5a−b)(5 a+7)(5 a-b)(5a+7)(5a−b) (5a+7b)(5a+7b)(5 a+7 b)(5 a+7 b)(5a+7b)(5a+7b) (5a+7)(5a+5b)(5 a+7)(5 a+5 b)(5a+7)(5a+5b)

Problem 10843

15) y>2x−3y<13x+2\begin{array}{l} y>2 x-3 \\ y<\frac{1}{3} x+2 \end{array}y>2x−3y<31​x+2​

Problem 10844

16) y≥x−1y<−2\begin{array}{l} y \geq x-1 \\ y<-2 \end{array}y≥x−1y<−2​

Problem 10845

Problem 10846

Label each of the clauses in the sentence below as either main (M)(M)(M) or subordinate (S).After they had been for a swim, the boys had a drink because they were very thirsty. □\square□

Problem 10847

Problem 10848

Problem 10849

Ticket: Identify the following the graph: vertex: (4,−1)(4,-1)(4,−1) Focus: (4,1)(4,1)(4,1) P -value: 5 Directrix: y=−9y=-9y=−9

17. $\begin{aligned} r-2 s & =0 \\ 4 r-3 s & =15\end{aligned}$

40. In the following figure, the horizontal surface on which this block slides is frictionless. If the two forces acting on it each have magnitude $F=30.0 \mathrm{~N}$ and M $=10.0 \mathrm{~kg}$ , what is the magnitude of the resulting acceleration of the block?

After a mishap, a $76.0-\mathrm{kg}$ circus performer clings to a trapeze, which is being pulled to the side by another circus artist, as shown here. Calculate the tension in the two ropes if the person is momentarily motionless. Include a free-body diagram in your solution.

Select the appropriate word or phrase to complete the sentence.
The number of degrees of freedom for the Student's $t$ -test of a population mean is always 1 less than the (Choose one) $\nabla$ .

- 37,500 m² - $0.0375 \mathrm{~m}^{2}$ - $0.0000375 \mathrm{~m}^{2}$ - $37,500,000 \mathrm{~m}^{2}$

Assume $X$ has a normal distribution $N\left(9,5^{2}\right)$ . Find $E(5 X-4)^{2}$
Answer: $\square$

Find class boundaries, midpoint, and width for the class. 8.12-13.48
Part: $0 / 3$
Part 1 of 3
The class boundaries for the class are $\square$ - $\square$ Skip Part Check

2/14
Which set contains the value below? $\sqrt{50}$
A Rational Numbers B Natural Numbers C Integers D Irrational Numbers

Part: $0 / 8$
Part 1 of 8 (a) Graph $f(x)=x^{2}-2 ; x \leq 0$ .

1. Find the condition on the parameters $a, b$ , and variable $x$ for which the following infinte sum converges: $\sum_{n=0}^{\infty}(a x)^{n}(b x)^{n}$

Translate each graph as specified below. (a) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=(x-1)^{2}$ . (b) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=x^{2}+2$ .

- $\frac{5}{\sqrt{x}} \leq \frac{3 \sqrt{x}}{2}$ - $\frac{1}{-x+2} \geq-4$

Use the polynomial to answer the questions: $-23 x^{7}+x^{9}-6 x^{3}+10+2 x^{2}$
What is the degree of the polynomial?
What is the leading coefficient of the polynomial? $\square$

Given that $\triangle C A T \cong \triangle D O G$ , which of the following must be true? $\overline{C T} \cong \overline{D O}$ $\overline{T C} \cong \overline{G D}$ Two of these $\angle A \cong \angle O$

Given that $\triangle C A R \cong \triangle P E T$ , which of the following must be true? $\angle C \cong \angle P$ $\overline{R A} \cong \overline{T P}$ Two of these $\overline{C R} \cong \overline{E T}$

Given that $\triangle J A M \cong \triangle B R O$ , which of the following must be true? Two of these $\overline{J M} \cong \overline{R B}$ $\overline{J A} \cong \overline{B O}$ $\angle J \cong \angle B$

a. What does each of these points represent in this situation: $(0,0),(1,55)$ , and $(5,275)$ ? b. What is the constant of proportionality?
Mr. Brown's Road Trip c. What equation relates the distance, $y$ , and the time, $x$ ? $y=55 x$

What congruency statement will CPCTC allow us to state about the triangles shown? $\overline{B Z} \cong \overline{L D}$ Two of these $\angle Z \cong \angle C$ $\overline{A Z} \cong \overline{D C}$

$6 x+3 y<0$

What congruency statement will CPCTC allow us to state about the triangles shown? $\overline{M N} \cong \overline{B C}$ $\angle M \cong \angle A$ $\angle P \cong \angle B$ Two of these

Write the domain in interval notation. $f(x)=\ln \left(x^{2}+9\right)$
The domain is $\square$

A 800 cd incandescent lamp is fixed at a height of 2 meters directly above a long bench, and the value of illuminance at point $P$ is to be determined.

11. How many real third roots does 1,728 have?
12. How many real sixth roots does 15,625 have?

Which point is on the graph of $f(x)=3 \cdot 5^{x} ?$ A. $(1,15)$ B. $(15,1)$ C. $(0,0)$ D. $(0,15)$

Which pair of binomials matches the given polynomial? $25 a^{2}+70 a b+49 b^{2}$ $(5 a+7)(5 a+b)$ $(5 a+7)(5 a-b)$ $(5 a+7 b)(5 a+7 b)$ $(5 a+7)(5 a+5 b)$

15) $\begin{array}{l} y>2 x-3 \\ y<\frac{1}{3} x+2 \end{array}$

16) $\begin{array}{l} y \geq x-1 \\ y<-2 \end{array}$

Label each of the clauses in the sentence below as either main $(M)$ or subordinate (S).
After they had been for a swim, the boys had a drink because they were very thirsty. $\square$

Ticket: Identify the following the graph: vertex: $(4,-1)$ Focus: $(4,1)$ P -value: 5 Directrix: $y=-9$

3. If $S(N)=\sum_{k=1}^{N} k$ then which value $\sum_{n=1}^{S(N)} 4^{n}=\frac{4}{3}\left(4^{55}-1\right)$

27 Which property does the equation below demonstrate? $3(-5 \cdot 10)=(-5 \cdot 10) 3$ (A) Commutative Property of Multiplication (B) Associative Property of Multiplication (C) Identity Property of Multiplication (D) Distributive Property

```latex \begin{align} &\text{1-F: } [-1,8) \rightarrow \mathbb{R} \\ &F(x) = -2x - 5 \\ &\text{Fonk. İnceleyelim (Grafik, artanlık-azalanlık, max-min, Fonk. Sıfır., Fonksiyonun işareti)} \\ &F(x) = 2 \\ &f(x) \text{ örten} \end{align}

9. Explain why rewriting $\sqrt{50}$ as $\sqrt{25} \cdot \sqrt{2}$ helps you simplify $\sqrt{50}$ , but rewriting $\sqrt{50}$ as $\sqrt{10} \cdot \sqrt{5}$ does not.

19 Die Verkaufszahlen (in 1000 Stück) einer neuen Schokolade werden durch die Funktion f mit $f(t)=4-4 \cdot e^{-0,1 t}$ beschrieben ( $t$ in Wochen). Berechnen Sie, wann die Verkaufszahlen innerhalb einer Woche um hundert Stück zunehmen.

Ch 08 Sec 5 Ex 12 - Inclusion-Exclusion
Find the number of positive integers not exceeding 10,010 that are not divisible by $3,4,7$ , or 11 .

The graph shows a function. Is the function even, odd, or neither? Use the drop-down menus to explain.
Click the arrows to choose an answer from each menu. For the function on the graph. opposite $x$ -vatues have choose:values. This shows the function is choose because its graph has Choose..

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Unit 1 Test
1. Choose three points that are NOT collinear. $u, v, w$ $P, Q, R$ $U, V, R$ Next

Perform the elementary row operation $\frac{1}{4} R_{2}+R_{1} \rightarrow R_{1}$ on the given matrix. $\left[\begin{array}{cc:c} 2 & 4 & 5 \\ 12 & 4 & 8 \end{array}\right]$
Resulting matrix:

Determine whether the equation defines $y$ as a function of $x$ . (See Example 9.) $3|x|+y=0$ is a function is not a function

The diagram shows part of the graph of $y=a+b \sin x$ . Find the values of the constants $a$ and $b$ . $\qquad$ $\qquad$

15) Find the resulting interval. $(2,9] \cup[5, \infty)$ A) $(2,5]$ B) $(-\infty, \infty)$ C) $[5, \infty)$ D) $(2, \infty)$