Browse Math problems Studdy Solved!

Problem 51301

$8 \cdot \square=1$ $\frac{1}{8} \cdot 8=$ $\square$ $\frac{5}{8} \cdot 8=$ $\square$ $8 \cdot \square=3$

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Problem 51302

5 A B C D F G H I $2 e^{\left(90^{\circ}\right) \mathrm{i}}$ A) SELECT ALI APPLICABIE CHO B) $2\left(\cos \left(90^{\circ}\right)+i \sin \left(90^{\circ}\right)\right) \quad 2 \cos \left(90^{\circ}\right)+i \cdot 2 \sin \left(90^{\circ}\right)$ C) D) $-\cos \left(90^{\circ}\right)-i \sin \left(90^{\circ}\right) \quad 2\left(\cos \left(90^{\circ}\right)-i \sin \left(90^{\circ}\right)\right)$ E) $\approx 1+i(2)$

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Problem 51303

Out of 160 workers surveyed at a company, 37 walk to work. a. What is the experimental probability that a randomly selected worker at that company walks to work? b. Predict about how many of the 4000 workers at the company walk to work. a. The experimental probability is $\square$

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Problem 51304

$\sqrt[5]{1,265}$

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Problem 51305

Write the equation of this ine in siope-intercept torm.

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Problem 51306

$12 \cos \left(330^{\circ}\right)+i \cdot 12 \sin \left(330^{\circ}\right)$ A) $12 e^{\left(510^{\circ}\right) i}$ C) B) $12 e^{(330 \%) i}$ D)

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Problem 51307

$\begin{array}{r}7 \\ \times 4 \\ \hline\end{array}$

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Problem 51308

Tue Dec 3 a cdn.assess.prod.mheducation.com
This question has two parts. First, answer Part A. Then, answer Part B. Part A Choose the correct answer. A sandwich shop uses 0.14 pound of tomato on each sandwich. How much tomato will the shop need sandwiches? Look at the decimal grids. Which represents the problem? A) $\square$ B) $\square$ C) \begin{tabular}{|l|l|l|l|} \hline -I & & & \\ \hline-1 & & & \\ \hline \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}
Part B Enter the answer. How much tomato will the shop need to make the 6 sandwiches?. pound(s) of tomato

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Problem 51309

10 A B C D E F G I $\sqrt[3]{10 e^{i\left(420^{3}\right)}}$ A) SEIECT ALI APPICA $10^{\frac{1}{2}} e^{i\left(\frac{\infty}{3}\right)}$ B) $\sqrt[3]{10}\left[\cos \left(420^{\circ}\right)+i \sin \left(420^{\circ}\right)\right]$ C) D) $e^{i\left(\frac{a P}{2}\right)}$ $\sqrt[3]{10} e^{i\left(120^{\circ}\right)}$ E) $\sqrt[3]{10}\left[\cos \left(\frac{420^{\circ}}{3}\right)+i \sin \left(\frac{420^{\circ}}{3}\right)\right]$ F) $10\left[\cos \left(\frac{420^{\circ}}{3}\right)+i \sin \left(\frac{420^{\circ}}{3}\right)\right]$

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Problem 51310

According to a survey in a country, $39 \%$ of adults do not own a credit card. Suppose a simple random sample of 400 adults is obtained. Comple $\qquad$ B. Not normal because $\mathrm{n} \leq 0.05 \mathrm{~N}$ and $\mathrm{np}(1-\mathrm{p})<10$ C. Not normal because $n \leq 0.05 \mathrm{~N}$ and $\mathrm{np}(1-\mathrm{p}) \geq 10$ D. Approximately normal because $n \leq 0.05 \mathrm{~N}$ and $\mathrm{np}(1-\mathrm{p}) \geq 10$
Determine the mean of $\tilde{n}$ e sampling distribution of $\hat{p}$ . $\mu_{\hat{p}}=.39$ (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of $\hat{p}$ . $\sigma_{\hat{p}}=.024$ (Round to three decimal places as needed.) (b) What is the probability that in a random sample of 400 adults, more than $42 \%$ do not own a credit card?
The probability is .1056 . (Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 400 adults were obtained, one would expect 11 to result in more than $42 \%$ not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 400 adults, between $34 \%$ and $42 \%$ do not own a credit card?
The probability is $\square$ (Round to four decimal places as needed.)

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Problem 51311

A manufacturer of women's clothing is interested to know if age is a factor in whether women would buy a particular garment depending on its quality. A researcher samples 3 age groups and each woman is asked to rate the garment as excellent, average or poor as shown in the table below: \begin{tabular}{|c|c|c|c|c|} \cline { 2 - 5 } \multicolumn{2}{|c|}{} & \multicolumn{3}{c|}{ Age group } \\ \cline { 2 - 5 } & Excellent & $15-20$ & $21-30$ & $31-60$ \\ \hline 20 & 40 & 47 & 46 \\ \hline & Average & 51 & 74 & 57 \\ \hline & Poor & 29 & 19 & 37 \\ \hline \end{tabular}
Test the bypothesis, at $5 \%$ level of significance, that rating is not related to age group. [25]

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Problem 51312

$\frac{4 \cos \left(-90^{\circ}\right)+i 4 \sin \left(-90^{\circ}\right)}{10 \cos \left(210^{\circ}\right)+i 10 \sin \left(210^{\circ}\right)}$ A) SELECT ALL APPLC B) $\frac{4}{10} \cdot e^{i\left(-90 \circ+210^{\circ}\right)} \quad \frac{4}{10} \cos \left(120^{\circ}\right)+i \frac{4}{10} \sin \left(120^{\circ}\right)$ C) D) $\frac{4}{10} \cos \left(-90^{\circ}-210^{\circ}\right)+i \frac{4}{10} \sin \left(-90^{\circ}-210^{\circ}\right) \quad \frac{4}{10} \cos \left(-300^{\circ}\right)+i \cdot \frac{4}{10} \sin \left(-300^{\circ}\right)$

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Problem 51313

3. The table below shows the number of snacks still in the pantry as time goes on: \begin{tabular}{|l|c|c|c|c|} \hline \begin{tabular}{l} Days since \\ Store Trip \end{tabular} & 1 & 3 & 6 & 7 \\ \hline \begin{tabular}{l} Number of \\ Snacks \end{tabular} & 20 & 12 & 5 & 3 \\ \hline \end{tabular} a. Create a scatter plot for the data from the table: b. Draw a line of best fit. c. What association is depicted in the graph? $\qquad$ d. Predict how many snacks were left by the $5^{\text {th }}$ day. $\qquad$ e. Predict how many snacks were left by the $10^{\text {th }}$ day. $\qquad$ .

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Problem 51314

X Do Homework - Homework 1B X P Do Homework - Homework 6B X Desmos | Scientific Calculator X CS Testing Center | Chattanooga x + on.com/Student/PlayerHomework.aspx?homeworkId=678248859&questionid=7&flushed=false&cid=7910058&back=https://mylab.pearson.com/Student/DoAssignments.aspx?wl_access_status=opted-in&&wl_access_date=2024-10-14T13:... oductory Statistics 6B (4.2-4.3) K < Question 16, 4.3.X1 Part 1 of 3 K'lyah Harris 12/03/ HW Score: 82.5%, 13.2 of 16 points O Points: 0 of 1 The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r = -0.969. The least-squares regression line treating explanatory variable and miles per gallon as the response variable is y = -0.0060x + 41.3516. Complete parts (a) through (c) below. Click the icon to view the data table. (a) What proportion of the variability in miles per gallon is explained by the relation between weight of the car and miles per gallon? The proportion of the variability in miles per gallon explained by the relation between freight of the car and miles per gallon is %. (Round to one decimal place as needed.)

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Problem 51315

What do you notice about the number of possible arrays and the number of factors of 22?

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Problem 51316

3. Kyra has a rectangular vegetable garden that measures 12 feet by 18 feet. She wants to reduce the area of her garden. She closes the fence further in so that the new garden measures 12 feet by 9 feet. How does the area of the new garden compare to the area of the old garden? (Find the area of both the old \& new gardens.) (a) The new area will be one-half as large. (b) The new area will be two-thirds as large. (c) The new area will be one-fourth as large. (d) The new area will be three-fourths as large.
4. Which of the following is equal to $\frac{11}{12}$ ? (a) 0.916 (b) $0.91 \overline{6}$ (c) $0 . \overline{916}$ (d) $1 . \overline{09}$

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Problem 51317

The number of students enrolled at a college is 13,000 and grows $5 \%$ each year. Complete parts (a) through (e). $\qquad$ a) The initial amount a is $\square$

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Problem 51318

1. On a cold day, Stackhouse measured the outside temperature and discovered it was 13 degrees Fahrenheit. Each hour after that, it was 3 degrees colder than the previous hour's temperature. At this rate, how many hours would it take for the temperature to reach -17 degrees Fahrenheit? (a) 4 hours (b) 9 hours (c) 10 hours (d) 30 hours

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Problem 51319

2. A successful music app tracked the number of song downloads each day for a month for 4 music artists, represented by lines $\ell, j, m$ , and $d$ over the course of a month. Which line represents an artist whose downloads remained constant over the month? A. $\ell$ B. $j$ C. $m$ D. $d$

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Problem 51320

A student council has 15 members, including Yuko, Luigi, and Justip a) The staff advisor will select three members at random to be treasurer, secretary, and liaison to the principal. Determine the probability that the staff advisor will select Yuko to be treasurer, Luigi to be secretary, and Justin to be liaison.

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Problem 51321

Use synthetic division to find the quotient and remainder when $-2 x^{4}+9 x^{3}+5 x^{2}+1$ is divided by $x-5$ by completing the parts below. (a) Complete this synthetic division table. $5) \quad \begin{array}{lllll}-2 & 9 & 5 & 0 & 1\end{array}$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ (b) Write your answer in the following form: Quotient $+\frac{\text { Remainder }}{x-5}$ . $\frac{-2 x^{4}+9 x^{3}+5 x^{2}+1}{x-5}=\square+\frac{\square}{x-5}$ $\square$ Clantinue Submi - 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use 1 Privacy Ce

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Problem 51322

Critique Reásoning Franco made this graph to show the equation $y=-x$ . Is the graph correct? Explain.

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Problem 51323

The rate of formation of $\mathrm{NO}_{2}(\mathrm{~g})$ in the reaction $2 \mathrm{~N}_{2} \mathrm{O}_{5}(\mathrm{~g}) \rightarrow 4 \mathrm{NO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g})$ is $5.78\left(\mathrm{~mol} \mathrm{NO}_{2}\right) / \mathrm{L} / \mathrm{s}$ . What is the rate at which $\mathrm{N}_{2} \mathrm{O}_{5}$ decomposes?
1. $0.723\left(\mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}\right) / \mathrm{L} / \mathrm{s}$
2. $5.78\left(\mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}\right) / \mathrm{L} / \mathrm{s}$
3. $1.45\left(\mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}\right) / \mathrm{L} / \mathrm{s}$
4. $11.6\left(\mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}\right) / \mathrm{L} / \mathrm{s}$
5. $2.89\left(\mathrm{~mol} \mathrm{~N}_{2} \mathrm{O}_{5}\right) / \mathrm{L} / \mathrm{s}$

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Problem 51324

Find the value of $f(9)$ .
Answer Attempt 2 out of 2 $\square$ Submit Answer

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Problem 51325

Exponents and Polynomials Polynomial long division: Problem type 1
Divide. $\left(6 x^{2}+24 x+18\right) \div(2 x+6)$
Your answer should give the quotient and the remainder.
Quotient: $\square$
Remainder: $\square$

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Problem 51326

is asked to rate the garment as excellent, average or poor as shown in the table \begin{tabular}{|c|c|c|c|c|} \hline & & \multicolumn{3}{|c|}{Age group} \\ \hline & & 15-20 & 21-30 & 31-60 \\ \hline \multirow{3}{*}{ $\frac{8}{2}$ } & Excellent & 40 & 47 & 46 \\ \hline & Average & 51 & 74 & 57 \\ \hline & Poor & 29 & 19 & 37 \\ \hline \end{tabular} nthesis, at $5 \%$ level of significance, that rating is not related to age group.

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Problem 51327

Begin by graphing $f(x)=3^{x}$ . Then use transformations of this graph to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. $g(x)=3^{x}-4$
Which transformation is needed to graph the function $g(x)=3^{x}-4$ ? Choose the correct answer below. A. The graph of $f(x)=3^{x}$ should be shifted 4 units upward. B. The graph of $f(x)=3^{x}$ should be shifted 4 units downward. C. The graph of $f(x)=3^{x}$ should be shifted 4 units to the left. D. The graph of $f(x)=3^{x}$ should be shifted 4 units to the right.

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Problem 51328

3. (15 pts) Given is that $A=38^{\circ}$ and $b=19 \mathrm{~cm}$ and $c=22 \mathrm{~cm}$ . Solve the triangle $A B C$ . Round measures to 1 decimal place if necessary.

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Problem 51329

For the polynomial below, 3 is a zero. $f(x)=x^{3}+3 x^{2}-12 x-18$
Express $f(x)$ as a product of linear factors. $f(x)=$

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Problem 51330

At a financial institution, a fraud detection syztem identifies suspicious tranaactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history. If there is sufficient evidence of fraud, the tranaaction is blocked. Based on past history, the specialist blocks 40 percent of the suspicious tranactions. Assume a suspicious transaction is independent of other suspicious transactions. (a) Suppose the specialist will review 136 suspicious transactiona in one day. What is the expected number of blocked transactiona by the specialist? Show your work.
Note On your AP Exam, you will handwrite your responses to free-response questions in a test booklet
B I $\underline{U}$ $\square$ (b) Suppose the specialist wants to know the number of suspicious transactions that will need to be revieved until reaching the first transaction that will be blocked. (i) Define the random variable of interest and state how the variable is distributed. (ii) Determine the expected value of the random variable and interpret the expected value in context. $\square$ B I $\square$ (c) Consider a batch of 10 randomly selected suspicipus transactions. Suppose the specializt wants to know the probability that 2 of the ransactions will be blocked. (i) Define the random variable of interest and state how the variable is distributed. (ii) Find the probability that 2 transactions in the batch will be blocked. Show your work.

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Problem 51331

\#5 Listen
Write a linear function $f$ with $f(-9)=10$ and $f(-1)=-2$ . $f(x)=$ $\square$

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Problem 51332

4. Amanda babysits and Petra does yard work on weekends. The graph relating Amanda's earnings to the number of hours she babysits passes through the points $(0,0)$ and $(4,24)$ . The table below relates Petra's earnings to the number of hours she does yard work.
Petra's Earnings \begin{tabular}{|l|c|c|c|} \hline Hours & 3 & 6 & 9 \\ \hline Farnings (\$) & 15 & 30 & 45 \\ \hline \end{tabular}
Who earns more per hour?

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Problem 51333

5. Graph the compound inequality: $\qquad$ L $\begin{array}{cc} 2(0)+(6)<2 \\ 2 y+x<2 \end{array} \text { and } 9 \geq-5$

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Problem 51334

2. Write $\frac{1}{2}$ as a percent?

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Problem 51335

"The volume of a given mass of a gas varies inversely with the pressure if the absolute temperature is kept constant" is a statement of Charles' law Boyle's law Dalton's law Avagadro's law Next

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Problem 51336

If $f(x)=\left\{\begin{array}{ll}3 x-4 & \text { if }-3 \leq x \leq 3 \\ x^{3}-3 & \text { if } 3<x \leq 6\end{array}\right.$ , find: (a) $f(0)$ , (b) $f(1)$ , (c) $f(3)$ , and $(d) f(6)$ .

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Problem 51337

Evaluate $\int_{-1}^{1} e^{9 x}+15 x^{2}-7 d x$ $\square$

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Problem 51338

$\text{Given the table of values:}$ $\begin{array}{|c|c|} \hline X & Y \\ \hline -4 & 6 \\ \hline 0 & 4 \\ \hline 4 & 2 \\ \hline 8 & 0 \\ \hline 12 & -2 \\ \hline \end{array}$ $\text{Find the slope of the line that passes through these points.}$

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Problem 51339

- Definite Integrals Course Packet on
Evaluate $\int_{1}^{9} \frac{3 t-7}{\sqrt{t}} d t$ $\square$

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Problem 51340

A chemist conducts an experiment in which 2.00 L of hydrogen gas is collected over water at 1.00 atm and 298.15 K .
The phrase "over water" means that the gas was collected by bubbling it into an inverted bottle filled with water, which is sitting in a water bath. The gas is trapped in the bottle, displacing the water into the water bath. However, the gas collected is now saturated with water vapor. The partial pressure of water vapor at 298.15 K is 0.0300 atm .
Using Dalton's Law, calculate the pressure of the hydrogen gas in atm.

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Problem 51341

Which key feature is different for the two functions? Domain Range End behavior Slope

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Problem 51342

Express the following as the logarithm of a single quantity. $\begin{array}{r} 2 \log _{e} 9+4 \log _{e} \pi-\log _{e} 5 \\ 2 \log _{e} 9+4 \log _{e} \pi-\log _{e} 5=\square \end{array}$ $\square$ (Simplify your answer. Type an exact answer, using $\pi$ as needed. Use integers

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Problem 51343

Question 10 (6 points) For the function $f(x)=-2 x^{2}+8 x+4$ a) Find the average rate of change from $x=2$ to $x=11$ b) Create a table calculating the average rates of change of $f(x)$ between 4 and $x$ as $x$ approaches 4 from the right. (Use 6 decimal places for intermediate calculations) c) Based on your table what is the instantaneous rate of change of $f(x)$ at $x=4$ ?
Explain how you used the table to find your answer.

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Problem 51344

Use the properties of logarithms to expand the following expression $\log \left(\frac{\sqrt{x^{5}}}{(x+6)^{3}}\right)$
Your answer should not have radicals or exponents. You may assume that all variables are positive. $\log \left(\frac{\sqrt{x^{5}}}{(x+6)^{3}}\right)=m$

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Problem 51345

Here are the numbers of children in 14 elementary school classes. $16,20,20,18,16,20,18,18,16,20,17,20,19,16$
Send data to calculator
Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."

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Problem 51346

Write the expression as a single logarithm. $\frac{1}{3} \log _{c} x+3 \log _{c} y-\log _{c} z$

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Problem 51347

Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite $2 \times(9 \div 3)$ ? Yes No If yes, fill in the blanks below. $2 \times(9 \div 3)=$ $\square$ $\square$ $\square$ $\square$

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Problem 51348

Math 110 Course Resources - Definite Integrals Course Packet on the Fundamental Theorem of Calculus
The marginal cost function associated with producing $x$ widgets is given by $C^{\prime}(x)=-0.2 x+75$ the day. $\square$ dollars Submit Answer Home My Assignments Request Extension

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Problem 51349

Name: Date: $\qquad$ $\qquad$ Per: Unit 11: Sequences and Series $\square$ Homework 3: Geometric Sequences $\qquad$ This is a 2-page document! **
1. $\{18,-108,648,-3888, \ldots\}$
2. $\{27,36,48,64, \ldots\}$
3. $\left\{10,4, \frac{8}{5}, \frac{16}{25}, \ldots\right\}$
Directions: Write a rule for each sequence, then find the indicated term.
4. $\{-3,-9,-27,-81, \ldots\} ; a$ ,
5. $\left\{-18,27,-\frac{81}{2}, \frac{243}{4}, \ldots\right\} ; a_{9}$
6. $\left\{\frac{1}{40},-\frac{1}{10}, \frac{2}{5},-\frac{8}{5}, \ldots\right\} ; a_{11}$
7. $\left\{100,60,36, \frac{108}{5} \ldots\right\} ; a_{8}$

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Problem 51350

Name two numbers that are not integers but that are opposites. Explain how you know.

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Problem 51351

$192=3 x^{3}$

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Problem 51352

\begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Coins Collected } \\ \hline Sam & 257 \\ \hline Philip & 510 \\ \hline Rebecca & 153 \\ \hline \end{tabular}
How many coins would Sam need to collect to be equal to Philip?

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Problem 51353

(a) The standard normal curve is graphed below. Shade the region under the standard norm $z=-0.50$ . (b) Use this table or the ALEKS calculator to find the area under the standard normal curve to $t$ Give your answer to four decimal places (for example, 0.1234).

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Problem 51354

A significant F-ratio is obtained in an ANOVA when At least two means differ significantly. All means differ significantly The sample mean differs from the population mean. The sample variance differs from the population variance.

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Problem 51355

$a_{n}=10 \cdot(2 / 5)^{n-1}$
5. $\left\{-18,27,-\frac{81}{2}, \frac{243}{4}, \ldots\right\} ; a_{9}$ $\left\{\frac{1}{40},-\frac{1}{10}, \frac{2}{5},-\frac{8}{5}, \ldots\right\} ; a_{11}$
7. $\left\{100,60,36, \frac{108}{5} \ldots\right\} ; a_{8}$

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Problem 51356

5 Langley Elementary has 873 students. Roberts Elementary has 125 fewer students. How many students attend Roberts Elementary?

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Problem 51357

Solve for $x$ : $\begin{array}{l} 4^{2 x-3}=7^{10 x-9} \\ x=\square \end{array}$ Calculator

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Problem 51358

7. Create a Scatter Plot using information from the table. \begin{tabular}{|c|c|} \hline Hours & \# Sold \\ \hline 1 & 2 \\ \hline 2 & 3 \\ \hline 3 & 6 \\ \hline 3.5 & 7 \\ \hline 4 & 7 \\ \hline 4.25 & 8 \\ \hline 5 & 10 \\ \hline 5.25 & 10 \\ \hline 5.75 & 12 \\ \hline 6.5 & 14 \\ \hline \end{tabular}

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Problem 51359

$D E F G$ is a rectangle. $D F=5 x-3$ and $E G=x+5$ . Find the value of $x$ and the length of each diagonal. HINT: Sketch the rectangle DEFG and draw DF and EG. Select one: a. $\quad x=1, D F=6, E G=6$ b. $x=2, D F=7, E G=12$ c. $x=2, D F=6, E G=6$ d. $\quad x=2, D F=7, E G=7$

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Problem 51360

Find $f^{\prime}(x)$ if $f(x)=\log _{10}\left(\frac{x^{3}-9}{x^{3}-7}\right)$

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Problem 51361

Differentiate $f(x)=5 \sec x+2 e^{x} \tan x$ .

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Problem 51362

The equation for $h(x)$ and the transformed function $p(x)$ in terms of $h(x)$ are shown. Describe the transformation(s) performed on $h(x)$ that produced $p(x)$ . $\begin{array}{c} h(x)=x^{3} \\ p(x)=2 h(x+3)+6 \end{array}$

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Problem 51363

3. A bus company has 4000 passengers daily, each paying a fare of $\$ 2$ . For each $\$ 0.15$ increase in the fare, the company estimates that it will lose 40 passengers. If the company needs to take in (revenue) $\$ 10450$ per day to stay in business, what fare should be charged?
4. Following its advertising campaign to double its toppings, Zittza Pizza decides to double the area of its 10 cm by 12 cm advertisement in the Woodbridge Times by adding the same length (number of centimeters) to both dimensions of the ad. What length must be added to each side? Give you answer correct to one decimal place? $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$

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Problem 51364

9. Create a Scatter Plot using information from the table. \begin{tabular}{|c|c|} \hline Games & Homeruns \\ \hline 1 & 2 \\ \hline 2 & 3 \\ \hline 3 & 5 \\ \hline 3.5 & 6 \\ \hline 4 & 6 \\ \hline 4.5 & 7 \\ \hline 5 & 8 \\ \hline 5 & 6 \\ \hline 5.5 & 7 \\ \hline 6 & 8 \\ \hline \end{tabular}

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Problem 51365

$\text{Slope} = \frac{5}{3}$
$\text{Slope} = \frac{-4}{2}$

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Problem 51366

In 15-18, tell how many terms each expression has. $15,5,+9$
16. 3 . $\frac{1}{2} b$ $\qquad$
17. $\frac{v}{3}+2 \cdot 5$
18. $16.2-(3 \cdot 4)+(14 \div 2)$

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Problem 51367

Of the 44 plays attributed to a playwright, 14 are comedies, 13 are tragedies, and 17 are histories. If one play is selected at random, find the odds in favor of selecting a history.
The odds in favor of selecting a history are $\square$ $\square$ (Simplify your answer.)

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Problem 51368

3) $\sqrt{-150}$

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Problem 51369

Solve the given linear programming problem. Maximize $z=5 x+5 y$ subject to $x \geq 0, y \geq 0, x+y \geq 1,2 x+3 y \leq 12,3 x+2 y \leq 12$
What is the solution? The maximum value of $z$ is $z=$ $\square$ , and it occurs at the point $(x, y)=$ $\square$ . (Type exact answers. Type integers or simplified fractions.)

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Problem 51370

Differentiate $f(x)=\left(x^{4}-3 x\right)^{59}$ . $f^{\prime}(x)=$

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Problem 51371

System C L1: $y=-x-1$ L2: $y=-2 x-3$
This system of equations is: - consistent dependent - consistent independent - inconsistent
This means the system has: - a unique solution: - no solution - infinitely many solutions Solution: $\qquad$ ,, )

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Problem 51372

2. [4 pts] In the diagram below, $\triangle A B C$ has coordinates $A(1,1), B(4,1)$ , and $C(4,5)$ . Graph and label $\triangle A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$ , the image of $\triangle A B C$ after the translation five units to the right and two units up followed by the reflection over the line $y=0$ . [Unit 2, Unit 5]

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Problem 51373

1. (I) By how much does the gravitational potential energy of a $58-\mathrm{kg}$ pole vaulter change if her center of mass rises 4.0 m during the jump?

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Problem 51374

9. Evaluate the triple integral $\iiint_{S} 4 x^{2}+4 y^{2} d V$ where $S$ is the solid that lies in the first octant space $x \geq 0$ and $y \geq 0$ below paraboloid $z=-x^{2}-y^{2}+1$ a above plane $z=0$ .

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Problem 51375

Which description explains how the graph of $f(x)=\sqrt{x}$ could be transformed to form the graph of $g(x)=\sqrt{x+7}$ ? vertical stretch by a factor of 7 horizontal shift of 7 units left horizontal shift of 7 units right vertical shift of 7 units down

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Problem 51376

uation of the line tangent to the graph of $y=5 \ln (x)$ at $x=3$ . $y=$ $\square$ Next item

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Problem 51377

Find $f(a+5)$ . $\begin{array}{c} f(x)=x^{2}+5 \\ f(a+5)=\square \end{array}$ Tutorial
Additional Materials $\square$ eBook

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Problem 51378

ogy Assignment 1 (Optional - Question 9, 3.3.13-T HW Score: $71.02 \%, 8.52$ of 12 points Part 2 of 6 Points: 0 of 1 Sa
Male and female populations of elephants under 80 years old are represented by age in the table below. Complete parts (a) through (d). \begin{tabular}{|lrr|} \hline Age & Males & Females \\ \hline $0-9$ & 10 & 8 \\ \hline $10-19$ & 11 & 8 \\ \hline $20-29$ & 15 & 13 \\ \hline $30-39$ & 16 & 17 \\ \hline $40-49$ & 25 & 23 \\ \hline $50-59$ & 21 & 22 \\ \hline $60-69$ & 17 & 18 \\ \hline $70-79$ & 14 & 13 \\ \hline \end{tabular} (a) Approximate the population mean and standard deviation of age for males. $\mu=42.79$ years (Round to two decimal places as needed.) $\sigma=$ $\square$ years (Round to two decimal places as needed.)

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Problem 51379

Solve the system by back substitution $\begin{array}{l} \left\{\begin{array}{r} 5 x-3 y+3 z=28 \\ 2 y-3 z=-3 \\ 4 z=4 \end{array}\right. \\ x=\square \\ y=\square \\ z=\square \end{array}$

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Problem 51380

21 Multiple Choice 1 point Factor. $64 x^{3}-125$ $(4 x-5)\left(16 x^{2}-20 x+25\right)$ $(4 x-5)\left(16 x^{2}+20 x+25\right)$ $(4 x+5)\left(16 x^{2}-20 x+25\right)$ $(4 x-5)\left(16 x^{2}+25\right)$ Clear my selection
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Problem 51381

Calculate the correlation coefficient for the following data. Round your answer to the nearest thousandth. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 6 & 63.7 \\ \hline 7 & 88.7 \\ \hline 9 & 60.6 \\ \hline 11 & 20.6 \\ \hline 13 & 80.8 \\ \hline 16 & 57.7 \\ \hline 19 & 18.4 \\ \hline \end{tabular}
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Answer

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Problem 51382

Write the system of equations as an augmented matrix. $\left\{\begin{array}{l} 3 d+3 s-6 z=-12 \\ 3 d-7 s+3 z=-20 \\ -2 d+3 s-5 z=-69 \end{array}\right.$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$

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Problem 51383

An African elephant has a mass of 8139 kg .
Choose the best approximation of the mass of an African elephant. Choose 1 answer: (A) $8 \cdot 10^{3} \mathrm{~kg}$ (B) $8 \cdot 10^{4} \mathrm{~kg}$

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Problem 51384

Early Finisher Challenge Which number forms are equivalent to 0.28 ? Select all that apply. A. $28 \%$ B. $\frac{21}{80}$ C. $\frac{28}{100}$ D. $\frac{14}{50}$ E. 28 F. $\frac{7}{25}$

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Problem 51385

$12+x \leq 2 x-8$

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Problem 51386

Graph the folloing $\left\{\begin{array}{l} y>x-2 \\ y \leq 3 x-2 \end{array}\right.$

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Problem 51387

1. CALCULATE: Finding the Mean and Median (3 points)
For each set of numbers, find the mean and median. \begin{tabular}{|l|l|l|} \hline Set 1: $\{1,11,21,31,41,51,61\}$ & Mean = & Median = \\ \hline Set 2: $\{28,29,30,31,32,33,34\}$ & Mean = & Median = \\ \hline Set 3: $\{0,31,31,31,31,31,62\}$ & Mean = & Median = \\ \hline \end{tabular}

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Problem 51388

Consider the Standard Normal distribution.
The mean is always $\square$ and the standard deviation is always $\square$

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Problem 51389

You deposit $\$ 5000$ in a savings account that has a rate of $2 \%$ . The interest is compounded quarterly.
How much money will you have after 10 years? $\$$ $\square$ (Simplity your answer. Round to the nearest cent as needed.)

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Problem 51390

The diameter of a human hair is $9 \cdot 10^{-5}$ meters. The diameter of a spider's silk is $3 \cdot 10^{-6}$ meters.
How much greater is the diameter of a human hair than the diameter of a spider's silk? Write your answer in scientific notation. $\square$ meters

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Problem 51391

In a normal distribution, a data value located 0.5 standard deviations below the mean has Standard Score: $z=$ $\square$ In a normal distribution, a data value located 1.6 standard deviations above the mean has Standard Score: $z=$ $\square$ In a normal distribution, the mean has Standard Score: $\mathrm{z}=$ $\square$

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Problem 51392

An observer stands at a point P , one unit away from a track. Two runners start at the point S in the figure and run along the track. One runner runs 2 times as fast as the other. Find the maximum value of the observer's angle of sight $\theta$ between the runners. [Hint: Maximize $\tan \theta$ ] $\theta=$ $\square$ radians

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Problem 51393

Question 8 (1 point) Graph the function. $f(x)=\left(\frac{1}{4}\right) x$

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Problem 51394

FIND DAMEIER Of crecle?

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Problem 51395

3. Calcula el área de cada cuadrado. Después contesta.

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Problem 51396

```latex The accompanying data represent the pulse rates (beats per minute) of nine students. Treat the nine students as a population. Compute the z-scores for all the students. Compute the mean and standard deviation of these z-scores.
\begin{tabular}{lc} Student & Pulse \\ Student 1 & 76 \\ Student 2 & 61 \\ Student 3 & 60 \\ Student 4 & 80 \\ Student 5 & 73 \\ Student 6 & 80 \\ Student 7 & 80 \\ Student 8 & 68 \\ Student 9 & 73 \end{tabular}
Compute the $z$ -scores for all the students. Complete the table. \begin{tabular}{lclc} Student & z-score & Student & z-score \\ Student 1 & $\square$ & Student 6 & $\square$ \\ Student 2 & $\square$ & Student 7 & $\square$ \\ Student 3 & $\square$ & Student 8 & $\square$ \\ Student 4 & $\square$ & Student 9 & $\square$ \\ Student 5 & $\square$ & & $\square$ \end{tabular} (Round to the nearest hundredth as needed.)

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Problem 51397

Question 8 - of 48 Step 2 of 3
Consider the following equations. $1-(4 y+3 x)=5(x-y) \text { and } y+3=7+8 x$
Step 2 of 3: Express the second equation in slope-intercept form. Simplify your answer.
Answer 2 Points

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Problem 51398

๑- learn.hawkeslearning.com/Portal/Test/TestTakeTest\#! Submit Assignment Practice MA111 Fall 24
Question 8 - of 48 Step 3 of 3 Consider the following equations. $1-(4 y+3 x)=5(x-y) \text { and } y+3=7+8 x$
Step 3 of 3: Determine if the two lines are parallel.
Answer 2 Points Yes No

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Problem 51399

A variable is normally distributed with mean 20 and standard deviation 3 . Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 20. $\square$ b) Find the area to the left of 16. $\square$ c) Find the area to the right of 17. $\square$ d) Find the area to the right of 26 . $\square$ e) Find the area between 16 and 29. $\square$

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Problem 51400

1-4. "Find $f(3)$ " means to find the output of function $f(x)$ for an input of $x=3$ . For the function $f(x)=\frac{1}{x-2}$ , find each of the following Homework Help a. Find $f(4)$ . (This means find the output of the function when $x=4$ .) b. Find $x$ when $f(x)=1$ . (This means find the input that gives an output of 1.)

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Math

Problem 51301

8⋅□=18 \cdot \square=18⋅□=1 18⋅8=\frac{1}{8} \cdot 8=81​⋅8= □\square□ 58⋅8=\frac{5}{8} \cdot 8=85​⋅8= □\square□ 8⋅□=38 \cdot \square=38⋅□=3

Problem 51302

Problem 51303

Out of 160 workers surveyed at a company, 37 walk to work. a. What is the experimental probability that a randomly selected worker at that company walks to work? b. Predict about how many of the 4000 workers at the company walk to work. a. The experimental probability is □\square□

Problem 51304

1,2655\sqrt[5]{1,265}51,265​

Problem 51305

Write the equation of this ine in siope-intercept torm.

Problem 51306

12cos⁡(330∘)+i⋅12sin⁡(330∘)12 \cos \left(330^{\circ}\right)+i \cdot 12 \sin \left(330^{\circ}\right)12cos(330∘)+i⋅12sin(330∘) A) 12e(510∘)i12 e^{\left(510^{\circ}\right) i}12e(510∘)i C) B) 12e(330%)i12 e^{(330 \%) i}12e(330%)i D)

Problem 51307

7×4\begin{array}{r}7 \\ \times 4 \\ \hline\end{array}7×4​​

Problem 51308

Problem 51309

Problem 51310

Problem 51311

Problem 51312

Problem 51313

Problem 51314

Problem 51315

What do you notice about the number of possible arrays and the number of factors of 22?

Problem 51316

Problem 51317

The number of students enrolled at a college is 13,000 and grows 5%5 \%5% each year. Complete parts (a) through (e). \qquad a) The initial amount a is □\square□

Problem 51318

Problem 51319

Problem 51320

Problem 51321

Problem 51322

Critique Reásoning Franco made this graph to show the equation y=−xy=-xy=−x. Is the graph correct? Explain.

Problem 51323

Problem 51324

Find the value of f(9)f(9)f(9).Answer Attempt 2 out of 2 □\square□ Submit Answer

Problem 51325

Exponents and Polynomials Polynomial long division: Problem type 1Divide. (6x2+24x+18)÷(2x+6)\left(6 x^{2}+24 x+18\right) \div(2 x+6)(6x2+24x+18)÷(2x+6)Your answer should give the quotient and the remainder.Quotient: □\square□Remainder: □\square□

Problem 51326

Problem 51327

Problem 51328

3. (15 pts) Given is that A=38∘A=38^{\circ}A=38∘ and b=19 cmb=19 \mathrm{~cm}b=19 cm and c=22 cmc=22 \mathrm{~cm}c=22 cm. Solve the triangle ABCA B CABC. Round measures to 1 decimal place if necessary.

Problem 51329

For the polynomial below, 3 is a zero. f(x)=x3+3x2−12x−18f(x)=x^{3}+3 x^{2}-12 x-18f(x)=x3+3x2−12x−18Express f(x)f(x)f(x) as a product of linear factors. f(x)=f(x)=f(x)=

Problem 51330

Problem 51331

\#5 ListenWrite a linear function fff with f(−9)=10f(-9)=10f(−9)=10 and f(−1)=−2f(-1)=-2f(−1)=−2. f(x)=f(x)=f(x)= □\square□

Problem 51332

Problem 51333

5. Graph the compound inequality: \qquad L 2(0)+(6)<22y+x<2 and 9≥−5\begin{array}{cc} 2(0)+(6)<2 \\ 2 y+x<2 \end{array} \text { and } 9 \geq-52(0)+(6)<22y+x<2​ and 9≥−5

Problem 51334

2. Write 12\frac{1}{2}21​ as a percent?

Problem 51335

"The volume of a given mass of a gas varies inversely with the pressure if the absolute temperature is kept constant" is a statement of Charles' law Boyle's law Dalton's law Avagadro's law Next

Problem 51336

Problem 51337

Evaluate ∫−11e9x+15x2−7dx\int_{-1}^{1} e^{9 x}+15 x^{2}-7 d x∫−11​e9x+15x2−7dx □\square□

Problem 51338

Problem 51339

- Definite Integrals Course Packet onEvaluate ∫193t−7tdt\int_{1}^{9} \frac{3 t-7}{\sqrt{t}} d t∫19​t​3t−7​dt □\square□

Problem 51340

Problem 51341

Which key feature is different for the two functions? Domain Range End behavior Slope

Problem 51342

Problem 51343

Problem 51344

Problem 51345

Problem 51346

Write the expression as a single logarithm. 13log⁡cx+3log⁡cy−log⁡cz\frac{1}{3} \log _{c} x+3 \log _{c} y-\log _{c} z31​logc​x+3logc​y−logc​z

Problem 51347

Answer the question below, and then fill in the blanks if necessary.Can the distributive property be used to rewrite 2×(9÷3)2 \times(9 \div 3)2×(9÷3) ? Yes No If yes, fill in the blanks below. 2×(9÷3)=2 \times(9 \div 3)=2×(9÷3)= □\square□ □\square□ □\square□ □\square□

Problem 51348

Problem 51349

Problem 51350

Name two numbers that are not integers but that are opposites. Explain how you know.

Problem 51351

192=3x3192=3 x^{3}192=3x3

Problem 51352

\begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Coins Collected } \\ \hline Sam & 257 \\ \hline Philip & 510 \\ \hline Rebecca & 153 \\ \hline \end{tabular}How many coins would Sam need to collect to be equal to Philip?

Problem 51353

(a) The standard normal curve is graphed below. Shade the region under the standard norm z=−0.50z=-0.50z=−0.50. (b) Use this table or the ALEKS calculator to find the area under the standard normal curve to ttt Give your answer to four decimal places (for example, 0.1234).

$8 \cdot \square=1$ $\frac{1}{8} \cdot 8=$ $\square$ $\frac{5}{8} \cdot 8=$ $\square$ $8 \cdot \square=3$

Out of 160 workers surveyed at a company, 37 walk to work. a. What is the experimental probability that a randomly selected worker at that company walks to work? b. Predict about how many of the 4000 workers at the company walk to work. a. The experimental probability is $\square$

$\sqrt[5]{1,265}$

$12 \cos \left(330^{\circ}\right)+i \cdot 12 \sin \left(330^{\circ}\right)$ A) $12 e^{\left(510^{\circ}\right) i}$ C) B) $12 e^{(330 \%) i}$ D)

$\begin{array}{r}7 \\ \times 4 \\ \hline\end{array}$

The number of students enrolled at a college is 13,000 and grows $5 \%$ each year. Complete parts (a) through (e). $\qquad$ a) The initial amount a is $\square$

Critique Reásoning Franco made this graph to show the equation $y=-x$ . Is the graph correct? Explain.

Find the value of $f(9)$ .
Answer Attempt 2 out of 2 $\square$ Submit Answer

Exponents and Polynomials Polynomial long division: Problem type 1
Divide. $\left(6 x^{2}+24 x+18\right) \div(2 x+6)$
Your answer should give the quotient and the remainder.
Quotient: $\square$
Remainder: $\square$

3. (15 pts) Given is that $A=38^{\circ}$ and $b=19 \mathrm{~cm}$ and $c=22 \mathrm{~cm}$ . Solve the triangle $A B C$ . Round measures to 1 decimal place if necessary.

For the polynomial below, 3 is a zero. $f(x)=x^{3}+3 x^{2}-12 x-18$
Express $f(x)$ as a product of linear factors. $f(x)=$

\#5 Listen
Write a linear function $f$ with $f(-9)=10$ and $f(-1)=-2$ . $f(x)=$ $\square$

5. Graph the compound inequality: $\qquad$ L $\begin{array}{cc} 2(0)+(6)<2 \\ 2 y+x<2 \end{array} \text { and } 9 \geq-5$

2. Write $\frac{1}{2}$ as a percent?

Evaluate $\int_{-1}^{1} e^{9 x}+15 x^{2}-7 d x$ $\square$

- Definite Integrals Course Packet on
Evaluate $\int_{1}^{9} \frac{3 t-7}{\sqrt{t}} d t$ $\square$

Write the expression as a single logarithm. $\frac{1}{3} \log _{c} x+3 \log _{c} y-\log _{c} z$

Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite $2 \times(9 \div 3)$ ? Yes No If yes, fill in the blanks below. $2 \times(9 \div 3)=$ $\square$ $\square$ $\square$ $\square$

$192=3 x^{3}$

\begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Coins Collected } \\ \hline Sam & 257 \\ \hline Philip & 510 \\ \hline Rebecca & 153 \\ \hline \end{tabular}
How many coins would Sam need to collect to be equal to Philip?

(a) The standard normal curve is graphed below. Shade the region under the standard norm $z=-0.50$ . (b) Use this table or the ALEKS calculator to find the area under the standard normal curve to $t$ Give your answer to four decimal places (for example, 0.1234).

Solve for $x$ : $\begin{array}{l} 4^{2 x-3}=7^{10 x-9} \\ x=\square \end{array}$ Calculator

Find $f^{\prime}(x)$ if $f(x)=\log _{10}\left(\frac{x^{3}-9}{x^{3}-7}\right)$

Differentiate $f(x)=5 \sec x+2 e^{x} \tan x$ .

The equation for $h(x)$ and the transformed function $p(x)$ in terms of $h(x)$ are shown. Describe the transformation(s) performed on $h(x)$ that produced $p(x)$ . $\begin{array}{c} h(x)=x^{3} \\ p(x)=2 h(x+3)+6 \end{array}$

$\text{Slope} = \frac{5}{3}$
$\text{Slope} = \frac{-4}{2}$

In 15-18, tell how many terms each expression has. $15,5,+9$
16. 3 . $\frac{1}{2} b$ $\qquad$
17. $\frac{v}{3}+2 \cdot 5$
18. $16.2-(3 \cdot 4)+(14 \div 2)$

Of the 44 plays attributed to a playwright, 14 are comedies, 13 are tragedies, and 17 are histories. If one play is selected at random, find the odds in favor of selecting a history.
The odds in favor of selecting a history are $\square$ $\square$ (Simplify your answer.)

3) $\sqrt{-150}$

Differentiate $f(x)=\left(x^{4}-3 x\right)^{59}$ . $f^{\prime}(x)=$

System C L1: $y=-x-1$ L2: $y=-2 x-3$
This system of equations is: - consistent dependent - consistent independent - inconsistent
This means the system has: - a unique solution: - no solution - infinitely many solutions Solution: $\qquad$ ,, )

1. (I) By how much does the gravitational potential energy of a $58-\mathrm{kg}$ pole vaulter change if her center of mass rises 4.0 m during the jump?

9. Evaluate the triple integral $\iiint_{S} 4 x^{2}+4 y^{2} d V$ where $S$ is the solid that lies in the first octant space $x \geq 0$ and $y \geq 0$ below paraboloid $z=-x^{2}-y^{2}+1$ a above plane $z=0$ .