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Problem 49301

Determine whether the ordered pair is a solution to the inequality. $5 x+6 y>30$ (a) $(-1,2)$ (b) $(4,-1)$ (c) $(6,0)$

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Problem 49302

Exercise 16B 1 The profit, $\$ P$ million, made by a business which invests $\$ x$ million in advertising is given by $P=10 x^{2}-10 x^{4} \text { for } x \geqslant 0$
Find the maximum profit the company can make based on this model. 2 A manufacturer produces smartphone covers. They know that if they sell $n$ thousand covers, they will make a profit of $\$ P$ hundred, and they use the model $P=20 n-3 n^{2}-n^{5}$ . Find, to the nearest dollar, the maximum profit they can make according to this model. 3 The fuel consumption of a car, $F$ litres per 100 km , varies with the speed, $v \mathrm{~km} \mathrm{~h}^{-1}$ , according to the equation $F=\left(3 \times 10^{-6}\right) v^{3}-\left(1.2 \times 10^{-4}\right) v^{2}-0.035 v+12$ At what speed should the car be driven in order to minimize fuel consumption? 4 The rate of growth, $R$ , of a population of bacteria, $t$ hours after the start of an experiment, is modelled by $R=\frac{6}{t}-\frac{47}{t^{4}}$ for $t \geqslant 2$ . Find the time when the population growth is the fastest. 5 A rectangle has width $x \mathrm{~cm}$ and length $20-x \mathrm{~cm}$ . a Find the perimeter of the rectangle. b Find the maximum possible area of the rectangle. 6 A rectangle has sides $3 x \mathrm{~cm}$ and $\frac{14}{x} \mathrm{~cm}$ . a Find the area of the rectangle. b Find the smallest possible perimeter of the rectangle. 7 A cuboid is formed by a square base of side length $x \mathrm{~cm}$ . The other side of the cuboid is of length $9-x \mathrm{~cm}$ . Find the maximum possible volume of the cuboid. 8 A rectangle has area $36 \mathrm{~cm}^{2}$ . Let $x \mathrm{~cm}$ be the length of one of the sides. a Express the perimeter of the rectangle in terms of $x$ . b Hence find the smallest possible perimeter.

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Problem 49303

Use properties of rational numbers to multiply the following. $-\frac{6}{5} \times 3.875$ A. $\frac{107}{40}$ B. $-\frac{24}{5}$ C. $-\frac{93}{20}$ D. $-\frac{155}{48}$

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Problem 49304

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 49305

```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 49306

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 49307

$\frac{\frac{x}{x+3}}{1+\frac{1}{x+3}}$

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Problem 49308

-3 Quiz The ratio of the measures of the sides of a triangle is $9: 7: 3$ . If the perimeter of the triangle is 266 inches, find the length of the shortest side.

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Problem 49309

Question Watch Video Show Examples
A new car is purchased for 20300 dollars. The value of the car depreciates at $8.75 \%$ per year. What will the value of the car be, to the nearest cent, after 12 years?
Answer $\square$ Submit Answer You have up to 8 questions left to raise your score. Still Stuck?

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Problem 49310

Find the $n$ -th term of the sequence: $9, 17, 27, 39$ .

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Problem 49311

4. If $f(x)=\ln (\ln x)$ , then $f^{\prime}(x)=$

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Problem 49312

SECTION 3.4 Exercises perercises 1-12, assuming $x$ and $y$ are positive, use properties of 1 /nulup les of logarithms.
1. $\ln 8 x$
2. $\ln 9 y$
3. $10 \frac{3}{x}$
4. $\log \frac{2}{y}$
5. $\log _{2} y^{5}$
6. $\log _{2} x^{-2}$
7. $\log x^{3} y^{2}$
8. $\log x y^{3}$
9. $\ln \frac{x^{2}}{y^{3}}$
10. $\log 1000 x^{4}$
11. $\log \sqrt[4]{\frac{x}{y}}$
12. $\ln \frac{\sqrt[3]{x}}{\sqrt[3]{y}}$

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Problem 49313

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 49314

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 49315

$\int \frac{e^{x}-7 x}{5} d x=$

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Problem 49316

Question 6 of 9, Step 1 of 1 $4 / 11$ Correct 1
The function $\mathrm{C}(\mathrm{t})=\mathrm{C}_{0}(1+\mathrm{r})^{t}$ models the rise in the cost of a product that has a cost of $\mathrm{C}_{0}$ today, subject to an average yearly inflation rate of $r$ for $t$ years. If the average annual rate of inflation over the next 11 years is assumed to be $3.5 \%$ , what will the inflation-adjusted cost of a $\$ 18,100$ car be in 11 years? Round to two decimal places.

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Problem 49317

There are 35 nickels on one pan of a pan balance and 26 nickels on the other. To make the pans balance, Levi thinks 5 nickels should be added to the higher pan, Isaac thinks 8 nickels should be added, and Miranda thinks 9 nickels should be added. Use the equation $35=26+n$ to determine who is correct. $\square$ is correct because the value $\square$ makes the equation $\square$

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Problem 49318

The circumference of a circle is $11 \pi \mathrm{~m}$ . Find its radius, in meters.
Answer Attempt 1 out of 2 $r=$ $\square$ m Submit Answer Copyright C2024 DeltaMathicom All Rights Reserved. Privacy Policy Terms of Service

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Problem 49319

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Problem 49320

Minimize: $\quad z=700 x+600 y$

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Problem 49321

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 49322

Using the substitution $3 \sin (u)=x$ , we obtain $\int x^{2} \sqrt{9-x^{2}} d x=\int K \sin ^{m} u \cos ^{n} u d u$ where the constants $K=$ $\square$ $\square$ $m=$ and $n=$ $\square$ .
Using this result and your knowledge about indefinite integrals of powers of $\sin u$ and $\cos u$ , find the indefinite integral $\int x^{2} \sqrt{9-x^{2}} d x=\square+C$
Note: Your answer should be in terms of $x$ , not $u$ .

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Problem 49323

Evaluate. $\int_{1}^{4}\left(5 x^{3}+8\right) d x$

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Problem 49324

Find the length of the third side. If necessary, round to the nearest tenth.
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 49325

Consider the following EQUATIONS, make a table, plot the points, and
1. $f(x)=\sqrt{x}$
2. $f(x)=2 \sqrt{x}$ \begin{tabular}{c|c} $x$ & $y$ \\ \hline-4 & \\ -1 & \\ 0 & \\ 1 & \\ 2 & \\ 3 & \\ 4 & \\ \hline \end{tabular} \begin{tabular}{c|c} $x$ & $y$ \\ \hline-4 & \\ -1 & \\ 0 & \\ 1 & \\ 2 & \\ 3 & \\ 4 & \end{tabular} 3.

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Problem 49326

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

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Problem 49327

Math and Physics Power and quotient rules with positive exponents
Simplify. $\frac{\left(3 b^{2}\right)^{2}}{\left(2 b^{3}\right)^{3}}$
Write your answer using only positive exponents.

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Problem 49328

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 49329

A youth group is made up of exactly 11 girls and 9 boys. Each member of the youth group recorded the number of books that they read last year.
The mean number of books read by the girls was 7 . The mean number of books read by the boys was 4 . What was the total number of books read by the youth group members last year?

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Problem 49330

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 49331

The price of a jumper is reduced by $17 \%$ in a sale. The sale price is $£ 62.25$
What was the original price of the jumper?

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Problem 49332

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 49333

Make $x$ the subject of $x-9=r$

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Problem 49334

Eng. Math, 2 $y=\sum_{n=0}^{\infty} \frac{(-1)^{n} x^{n+1}}{(n+1)}$ is asolution for D.E $(x+1)^{2} y^{\prime \prime}+(x+1) y^{\prime}=0$ Select one: a) True b) False

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Problem 49335

Make $x$ the subject of $5 x=r$

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Problem 49336

Find the average value of the function $f(x)=x^{2}-3$ on $[0,3]$

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Problem 49337

In the figure below, find the exact value of $y$ . (Do not approximate your answer.) $y=$ $\square$

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Problem 49338

Rearrange $g=f r$ to make $f$ the subject.

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Problem 49339

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 49340

Rearrange $k=d w$ to make $d$ the subject.

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Problem 49341

Rearrange $a k-y=c$ to make $k$ the subject.

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Problem 49342

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 49343

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 49344

Make $k$ the subject of $d=\frac{k+m}{2}$

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Problem 49345

Which of the following is equivalent to $i^{26}$ ? -1 $-i$ 1 i

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Problem 49346

Directions: Solve, graph, and write the solution to each inequality in interval notation.
1. $|b+3| \geq 7$
Interval Notation:
3. $|5 k+4| \geq 36$
Interval Notation:
5. $\left|\frac{n}{7}\right|-6>-5$
Interval Notation:
2. $|-2 v-4|<8$
Interval Notation:
4. $|3-9 y| \leq 33$
Interval Notation:
6. $\frac{|5+3 w|}{-2} \leq-1$
Interval Notation: Gina Wilson (All Things Algebra), 201

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Problem 49347

$x^{2}-2 x-8 \leq 0$

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Problem 49348

Read the problem. The Van Gogh Middle School class president asked 200 students to vote on a theme for the spring formal dance. 140 students voted for a "Starry Night" theme. What percent of the students voted for a "Starry Night" theme?
Pick the model that represents the problem. \begin{tabular}{|l|l|l|l|l|} \hline $0 \%$ & \multicolumn{3}{|c|}{ $?$ } & $100 \%$ \\ \hline & & & \\ \hline 0 & 140 & 200 \\ \hline \end{tabular}
What percent of the students voted for a "Starry Night" theme? $\square$ \%

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Problem 49349

\begin{tabular}{|l|l|l|} \hline \multicolumn{2}{|c|}{ EXAMEN PARCIAL 3 } & \\ \hline Materia & Cálculo Diferencial & \\ \hline Semestre & 2 \\ \hline Carrera & Tecnología en Obras Civiles & \\ \hline \end{tabular}
1. Resuelva las siguientes derivadas usando la Regla de la cadena a. $h(t)=2 \cos (1-2 x)^{2}$ b. $g(x)=\frac{x}{\sqrt{x^{4}+4}}$ c. $y=-\frac{5 x}{(x+3)^{3}}$
2. Resuelva las siguientes derivadas Implícitas a. $x \sqrt{y+1}=x y+1$ b. $\sqrt{5 x y}+2 y=x^{2} y+x y^{3}$ c. $3 y^{3} x^{2}+4 x^{2} y^{3}-\frac{3 y^{2}}{x}=12 x^{2}+\cos (x y)$ d. $9 x^{2}=\frac{\sqrt{x}}{\sqrt{y}}$
3. Resuelva las siguientes derivadas usando una Razón de cambio adecuiada. a. Un globo completamente esférico está siendo inflado a una razón de $3 \mathrm{~cm} 3 / \mathrm{s}$ .

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Problem 49350

For a confidence level of $98 \%$ with a sample size of 21 , find the critical $t$ -value (also known as the $t$ -score). $\square$ (round to 3 decimal places)

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Problem 49351

$5 x+3 y=15$

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Problem 49352

The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a variance of 0.0025 . The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0025 . Suppose that we want to carry out a hypothesis.test to see if there is support for the actuaries' claim. State the null hypothesis $H_{0}$ and the alternative hypothesis $H_{1}$ that we would use for this test. $\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$

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Problem 49353

Factor the expression completely. $-60 x^{4}+54 x$

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Problem 49354

(Español)
Two angles are complementary. The measure of one angle is $9^{\circ}$ more than twice the measure of the other angle. Find the measure of each angle.
Part 1 of 2
The measure of the smaller angle is $\square$ .
Part 2 of 2
The measure of the larger angle is $\square$

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Problem 49355

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 49356

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 49357

Solve by completing the square. $-3 v^{2}+48 v-75=0$
言A Write your answers as integers, proper or improper fractions in simplest form, or cimals rounded to the nearest hundredth. ) [ix $\left.\dot{x}_{A}\right]=$ $\square$ or $v=$ $\square$

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Problem 49358

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 49359

Solve the system by using the addition method. $\begin{aligned} 4 x^{2}+y^{2} & =37 \\ 6 x^{2}-4 y^{2} & =50 \end{aligned}$ There are infinitely many solutions. The solution set is the empty set, $\}$ . The solution set is a finite set. The solution set is $\square$ \}

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Problem 49360

(a) The graph of $y=f(x)$ is shown. Draw the graph of $y=f(-x)$ . (b) The graph of $y=g(x)$ is shown. Draw the graph of $y=-g(x)$ .

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Problem 49361

MATH 1314 - College Algebra Lab 10
3. On a cold December day in Dallas, Detective Daniels went to an apartment complex to investigate a murder. When he arrived at noon, the sergeant informed the detective that they were having trouble determining the time of death. Detective Daniels measured the temperature of the body, finding it to be $77.9^{\circ} \mathrm{F}$ . He also noted that the thermostat in the room was set at $72^{\circ} \mathrm{F}$ . He then left for lunch, announcing that when he returned, he would tell them when the murder was committed. Upon his return at 1:00PM, he found the body temperature to be $75.6^{\circ} \mathrm{F}$ . At first it looks like Detective Daniels does not have enough information to find the time of death. However, Detective Daniels knows Newton's Law of Cooling, which can be used to predict the time for an object to cool to a given temperature. $T(t)=T_{s}+\left(T_{0}-T_{s}\right) e^{-k t}$ $T(t)$ is the temperature of the object at time $t$ in hours, $T_{s}$ is the temperature of the surrounding environment (room temperature), $T_{0}$ is the initial temperature of the object, and $k$ is the cooling rate. a. Using the temperatures of the body observed over one hour, along with the temperature of the room, find the cooling rate, $k$ . Round to five decimal places. b. Write the cooling function, $T(t)$ , using the fact that $T_{0}$ was $98.6^{\circ} \mathrm{F}$ when the person was murdered. c. Let $T(t)=77.9^{\circ} \mathrm{F}$ . Use the cooling function from part $b, T(t)$ , to solve for $t$ , the number of hours since the body was murdered. Around what time was the murder committed? The $t$ value will be negative so count back the $t$ value in hours from noon to find the time. When answering the number of hours since the body was murdered, give the answer as a positive number.

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Problem 49362

Determine the following indefinite integral. $\begin{array}{r} \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x \\ \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x= \end{array}$

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Problem 49363

3. The population of the People's Republic of China has been doubling approximately every sixty years. The population in 1975 was about 824000000 . If the current growth rate continues, what will the population be in $2215 ?$

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Problem 49364

1. $(04.02 \mathrm{LC})$
Solve the following system of equations: (1 point) $\begin{array}{l} x-2 y=14 \\ x+3 y=9 \end{array}$ $(1,12)$ $(-1,-12)$ $(12,-1)$ $(12,1)$

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Problem 49365

Solve the following equation: $\frac{3}{4} x=60$

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Problem 49366

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 49367

6. (04.02 MC)
A gym offers regular memberships for $\$ 80$ per month and off-peak memberships for $\$ 60$ per month. Last month, the gym sold a total of 420 memberships for a total of $\$ 31,100$ . The following system of equations models this scenario: $\begin{array}{l} 80 x+60 y=31,100 \\ x+y=420 \end{array}$
How many of the memberships sold were regular memberships? (1 point) 125 140 235 295

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Problem 49368

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 49369

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 49370

Quadratic and Exponential Functions Graphing a parabola of the form $y=\mathrm{ax}^{2}+\mathrm{bx}+\mathrm{c}$ : Integer coefficier aph the parabola. $y=3 x^{2}-30 x+69$
Plot five points on the parabola: the vertex, two points to the le button.

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Problem 49371

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 49372

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 49373

Find an equation of the form $y=a x^{2}+b$ for a parabola that passes through the points $(-1,1)$ and $(-2,7)$ . $y=$

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Problem 49374

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 49375

12. Let a equal the measure of angle $A$ . The equation $360^{\circ}=a+90^{\circ}+135^{\circ}+75^{\circ}$ represents the sum of the angles in the quadrilateral. Find the missing angle measure by solving the equation.

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Problem 49376

$\mathrm{V}_{2} \mathrm{O}_{5}+\ldots \mathrm{HCl} \rightarrow \ldots \mathrm{VOCl}_{3}+\ldots \mathrm{H}_{2} \mathrm{O}$

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Problem 49377

Juan said it would take 37 minutes to clean the house. The actual time it takes will be 45 minutes. What was Juan's percent error?

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Problem 49378

Solve the equation. Simplify the answer as much as possible. $27^{x+5}=9^{2 x+2}$
The solution set is $\square$ \}.

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Problem 49379

hmic Functions Question 11, 5.4.67
Solve the equation. Use the change of base formula when appropriate. $e^{-x}=18$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $x=$ $\square$ (Type an integer or decimal rounded to the nearest hundredth as needed.) B. There is no solution.

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Problem 49380

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 49381

6. $\overline{Q S}$ is an angle bisector and $\overline{T U}$ is a perpendicular bisector of $\triangle P Q R, m \angle R Q S=14 x-21, m \angle P Q S=5 x-3$ , $P U=11 z-20, Q U=2 z+16$ and $m \angle T U Q=6 y-12$ . Calculate the value of $x, y, z, P U, Q U, m \angle R Q P$ , and $m \angle P U T$ . $14 x-21=5 x-3$ $+21=+21$ $\begin{array}{l} 9 x=18 \\ x=2 \end{array}$

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Problem 49382

unctions Question 13, 5.4.71
Solve the equation. $10^{5 x}=10000$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $x=$ $\square$ . (Type an integer or a fraction.) B. There is no solution.

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Problem 49383

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 49384

For the following function $f$ , find the antiderivative $F$ that satisfies the given condition. $\begin{array}{l} f(v)=\frac{1}{5} \sec v \tan v, F(0)=1,-\frac{\pi}{2}<v<\frac{\pi}{2} \\ F(v)=\square \end{array}$ $\square$

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Problem 49385

14. This year, a rancher counted 225 horses on the range. This count is 22 fewer than last year. How many horses did the rancher count last year? Let $h$ be the number of horses counted last year. Solve $h-22=225$ to find the number of horses counted last year.

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Problem 49386

$2.6 \times 10^{-5} \frac{\mathrm{~kg}}{\mathrm{~mol} \cdot \mathrm{dL}}=\square \frac{\mathrm{g}}{\mathrm{mol} \cdot \mathrm{L}}$

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Problem 49387

Equations Points: 0 of 1
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1 , and roots of $2-\sqrt{6}, 2+\sqrt{6}$ , and $7-i$ .
The polynomial function is $\mathrm{P}(\mathrm{x})=$ $\square$ (Simplify your answer.) View an example Get more help

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Problem 49388

Using the figure below, find the value of $\int_{2}^{12} f(x) d x$ . $\int_{2}^{12} f(x) d x=$ $\square$

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Problem 49389

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 49390

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 49391

4. In 2021, the approximate population of India was $1.4 \times 10$ people. Spain's population in 2021 was about 4 how many times greater was India's population than Spain's population 0.3

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Problem 49392

Answer the following questions. Express your answers using a fraction. a. A puppy weighed $\frac{1}{3} \mathrm{~kg}$ at birth. After one week, its weight increased by $\frac{1}{4} \mathrm{~kg}$ and then it gained another $\frac{3}{8} \mathrm{~kg}$ during the second week. How much did the puppy weigh at 2 weeks old?

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Problem 49393

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 49394

Practice \& Problem Solving

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Problem 49395

$\begin{array}{l}\frac{c}{3}=-5 m-\frac{8}{3} \\ -\frac{m}{7}+\frac{3 c}{4}=-6\end{array}$

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Problem 49396

A man had a piece of leather that was $\frac{3}{4}$ metre long. He cut off $\frac{2}{5}$ metre for a project and then cut off a 30 -centimetre piece to give to his friend. i. What fraction of the original piece of leather is left?

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Problem 49397

Points: 0 of 6
Engineers want to design seats in commercial aircraft so that they are wide enough to fit $99 \%$ of all adults. (Accommodating $100 \%$ of adults would require very wide seats that would be much too expensive.) Assume adults have hip widths that are normally distributed with a mean of 14.6 in. and a standard deviation of 0.8 in. Find P99. That is, find the hip width for adults that separates the smallest $99 \%$ from the largest $1 \%$ .
What is the maximum hip width that is required to satisfy the requirement of fitting $99 \%$ of adults? $\square$ in. (Round to one decimal place as needed.)

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Problem 49398

A scale diagram of a building is drawn using a scale of 1 cm to 5 m . The building is 20 m tall in real life.
How tall is the diagram of the building? Give your answer in centimetres (cm).

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Problem 49399

2. Resuelva las siguientes derivadas Implícitas a. $x \sqrt{y+1}=x y+1$ b. $\sqrt{5 x y}+2 y=x^{2} y+x y^{3}$ c. $3 y^{3} x^{2}+4 x^{2} y^{3}-\frac{3 y^{2}}{x}=12 x^{2}+\cos (x y)$ d. $9 x^{2}=\frac{\sqrt{x}}{\sqrt{y}}$

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Problem 49400

One year, the population of a city was 352,000. Several years later it was 337,920 . Find the percent decrease.
Answer \% Submit Answer

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Math

Problem 49301

Determine whether the ordered pair is a solution to the inequality. 5x+6y>305 x+6 y>305x+6y>30 (a) (−1,2)(-1,2)(−1,2) (b) (4,−1)(4,-1)(4,−1) (c) (6,0)(6,0)(6,0)

Problem 49302

Problem 49303

Use properties of rational numbers to multiply the following. −65×3.875-\frac{6}{5} \times 3.875−56​×3.875 A. 10740\frac{107}{40}40107​ B. −245-\frac{24}{5}−524​ C. −9320-\frac{93}{20}−2093​ D. −15548-\frac{155}{48}−48155​

Problem 49304

Problem 49305

Problem 49306

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 49307

xx+31+1x+3\frac{\frac{x}{x+3}}{1+\frac{1}{x+3}}1+x+31​x+3x​​

Problem 49308

-3 Quiz The ratio of the measures of the sides of a triangle is 9:7:39: 7: 39:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side.

Problem 49309

Problem 49310

Find the n n n-th term of the sequence: 9,17,27,39 9, 17, 27, 39 9,17,27,39.

Problem 49311

4. If f(x)=ln⁡(ln⁡x)f(x)=\ln (\ln x)f(x)=ln(lnx), then f′(x)=f^{\prime}(x)=f′(x)=

Problem 49312

Problem 49313

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 49314

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 49315

∫ex−7x5dx=\int \frac{e^{x}-7 x}{5} d x=∫5ex−7x​dx=

Problem 49316

Problem 49317

Problem 49318

The circumference of a circle is 11π m11 \pi \mathrm{~m}11π m. Find its radius, in meters.Answer Attempt 1 out of 2 r=r=r= □\square□ m Submit Answer Copyright C2024 DeltaMathicom All Rights Reserved. Privacy Policy Terms of Service

Problem 49319

Problem 49320

Minimize: z=700x+600y\quad z=700 x+600 yz=700x+600y

Problem 49321

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 49322

Problem 49323

Evaluate. ∫14(5x3+8)dx\int_{1}^{4}\left(5 x^{3}+8\right) d x∫14​(5x3+8)dx

Problem 49324

Find the length of the third side. If necessary, round to the nearest tenth.Answer Attempt 1 out of 2 □\square□ Submit Answer

Problem 49325

Problem 49326

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 49327

Math and Physics Power and quotient rules with positive exponentsSimplify. (3b2)2(2b3)3\frac{\left(3 b^{2}\right)^{2}}{\left(2 b^{3}\right)^{3}}(2b3)3(3b2)2​Write your answer using only positive exponents.

Problem 49328

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 49329

Problem 49330

Problem 49331

The price of a jumper is reduced by 17%17 \%17% in a sale. The sale price is £62.25£ 62.25£62.25What was the original price of the jumper?

Problem 49332

Problem 49333

Make xxx the subject of x−9=rx-9=rx−9=r

Problem 49334

Eng. Math, 2 y=∑n=0∞(−1)nxn+1(n+1)y=\sum_{n=0}^{\infty} \frac{(-1)^{n} x^{n+1}}{(n+1)}y=∑n=0∞​(n+1)(−1)nxn+1​ is asolution for D.E (x+1)2y′′+(x+1)y′=0(x+1)^{2} y^{\prime \prime}+(x+1) y^{\prime}=0(x+1)2y′′+(x+1)y′=0 Select one: a) True b) False

Problem 49335

Make xxx the subject of 5x=r5 x=r5x=r

Problem 49336

Find the average value of the function f(x)=x2−3f(x)=x^{2}-3f(x)=x2−3 on [0,3][0,3][0,3]

Problem 49337

In the figure below, find the exact value of yyy. (Do not approximate your answer.) y=y=y= □\square□

Problem 49338

Rearrange g=frg=f rg=fr to make fff the subject.

Problem 49339

Problem 49340

Rearrange k=dwk=d wk=dw to make ddd the subject.

Problem 49341

Rearrange ak−y=ca k-y=cak−y=c to make kkk the subject.

Problem 49342

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 49343

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 49344

Make kkk the subject of d=k+m2d=\frac{k+m}{2}d=2k+m​

Problem 49345

Which of the following is equivalent to i26i^{26}i26 ? -1 −i-i−i 1 i

Problem 49346

Problem 49347

x2−2x−8≤0x^{2}-2 x-8 \leq 0x2−2x−8≤0

Determine whether the ordered pair is a solution to the inequality. $5 x+6 y>30$ (a) $(-1,2)$ (b) $(4,-1)$ (c) $(6,0)$

Use properties of rational numbers to multiply the following. $-\frac{6}{5} \times 3.875$ A. $\frac{107}{40}$ B. $-\frac{24}{5}$ C. $-\frac{93}{20}$ D. $-\frac{155}{48}$

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. $x=-2,0,2$

$\frac{\frac{x}{x+3}}{1+\frac{1}{x+3}}$

-3 Quiz The ratio of the measures of the sides of a triangle is $9: 7: 3$ . If the perimeter of the triangle is 266 inches, find the length of the shortest side.

Find the $n$ -th term of the sequence: $9, 17, 27, 39$ .

4. If $f(x)=\ln (\ln x)$ , then $f^{\prime}(x)=$

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?

$\int \frac{e^{x}-7 x}{5} d x=$

The circumference of a circle is $11 \pi \mathrm{~m}$ . Find its radius, in meters.
Answer Attempt 1 out of 2 $r=$ $\square$ m Submit Answer Copyright C2024 DeltaMathicom All Rights Reserved. Privacy Policy Terms of Service

Minimize: $\quad z=700 x+600 y$

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

Evaluate. $\int_{1}^{4}\left(5 x^{3}+8\right) d x$

Find the length of the third side. If necessary, round to the nearest tenth.
Answer Attempt 1 out of 2 $\square$ Submit Answer

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

Math and Physics Power and quotient rules with positive exponents
Simplify. $\frac{\left(3 b^{2}\right)^{2}}{\left(2 b^{3}\right)^{3}}$
Write your answer using only positive exponents.

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. $\square$ \%

The price of a jumper is reduced by $17 \%$ in a sale. The sale price is $£ 62.25$
What was the original price of the jumper?

Make $x$ the subject of $x-9=r$

Eng. Math, 2 $y=\sum_{n=0}^{\infty} \frac{(-1)^{n} x^{n+1}}{(n+1)}$ is asolution for D.E $(x+1)^{2} y^{\prime \prime}+(x+1) y^{\prime}=0$ Select one: a) True b) False

Make $x$ the subject of $5 x=r$

Find the average value of the function $f(x)=x^{2}-3$ on $[0,3]$

In the figure below, find the exact value of $y$ . (Do not approximate your answer.) $y=$ $\square$

Rearrange $g=f r$ to make $f$ the subject.

Rearrange $k=d w$ to make $d$ the subject.

Rearrange $a k-y=c$ to make $k$ the subject.

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? $\begin{aligned} & 48+34 \\ = & 48+(2+\square) \end{aligned}$

Make $k$ the subject of $d=\frac{k+m}{2}$

Which of the following is equivalent to $i^{26}$ ? -1 $-i$ 1 i

$x^{2}-2 x-8 \leq 0$

For a confidence level of $98 \%$ with a sample size of 21 , find the critical $t$ -value (also known as the $t$ -score). $\square$ (round to 3 decimal places)

$5 x+3 y=15$

Factor the expression completely. $-60 x^{4}+54 x$

(Español)
Two angles are complementary. The measure of one angle is $9^{\circ}$ more than twice the measure of the other angle. Find the measure of each angle.
Part 1 of 2
The measure of the smaller angle is $\square$ .
Part 2 of 2
The measure of the larger angle is $\square$

Solve by completing the square. $-3 v^{2}+48 v-75=0$
言A Write your answers as integers, proper or improper fractions in simplest form, or cimals rounded to the nearest hundredth. ) [ix $\left.\dot{x}_{A}\right]=$ $\square$ or $v=$ $\square$

(a) The graph of $y=f(x)$ is shown. Draw the graph of $y=f(-x)$ . (b) The graph of $y=g(x)$ is shown. Draw the graph of $y=-g(x)$ .

Determine the following indefinite integral. $\begin{array}{r} \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x \\ \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x= \end{array}$

3. The population of the People's Republic of China has been doubling approximately every sixty years. The population in 1975 was about 824000000 . If the current growth rate continues, what will the population be in $2215 ?$

1. $(04.02 \mathrm{LC})$
Solve the following system of equations: (1 point) $\begin{array}{l} x-2 y=14 \\ x+3 y=9 \end{array}$ $(1,12)$ $(-1,-12)$ $(12,-1)$ $(12,1)$

Solve the following equation: $\frac{3}{4} x=60$

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

Quadratic and Exponential Functions Graphing a parabola of the form $y=\mathrm{ax}^{2}+\mathrm{bx}+\mathrm{c}$ : Integer coefficier aph the parabola. $y=3 x^{2}-30 x+69$
Plot five points on the parabola: the vertex, two points to the le button.

Find an equation of the form $y=a x^{2}+b$ for a parabola that passes through the points $(-1,1)$ and $(-2,7)$ . $y=$