Word Problem

Problem 2501

A store sells cashews for $\$ 500$ per pound and peanuts for $\$ 2.00$ per pound. The manager decides to mix 20 pounds of peanuts with some cashews and sell the mixture for $\$ 300$ per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?
There should be $\square$ pounds of cashews in the mixture (Type an integer or a decimal )

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Problem 2502

11/1 Module 2 Algebra Quiz Assessment ID:2425005731
1. What is the equation in standard form of the line that passes through the point $(6,-1)$ and is parallel to the line represented by $8 x+3 y=15$ ? A. $8 x+3 y=-45$ B. $8 x-3 y=-51$ C. $8 x+3 y=45$ D. $8 x-3 y=51$

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Problem 2503

12 The graph of the function $m(x)=x^{3}+3 x^{2}-2 x-4$ has a zero at -1 . what are the other zeros of the function? (A) -2 and 2 (B) -1 and 4 (C) $-1 \pm \sqrt{5}$ (D) $1 \pm 2 \sqrt{3}$

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Problem 2504

Question number 5.
Between 2001 and 2007, the average rate of inflation in Russia was 19\% per year. If a cart of groceries cost \ $296 in 2001, what did it cost in 2007?$ \ $841$ $\$ 967$ $\$ 633$ $\$ 525$ None of the above. Question number 6.

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Problem 2505

Find the area of a triangle with $\mathrm{C}=40.3^{\circ}, \mathrm{B}=62.9^{\circ}$ , and $\mathrm{b}=5.63$ . Round to two decimal places:

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Problem 2506

\text{As I left home in the morning, I put on a light jacket because, although the temperature was dropping, it seemed that the temperature would not go much lower. But I was wrong. Around noon a northerly wind blew up and the temperature began to drop faster and faster. The worst was around 10 pm when, fortunately, the temperature started going back up. Let } t=0 \text{ hours at 7 am.} \\
\text{(a) When was there a critical point in the graph of temperature as a function of time?} \\
\text{There was a critical point at } t= \, \square \text{ hours after 7 am.} \\
\text{(b) When was there an inflection point in the graph of temperature as a function of time?} \\
\text{There was an inflection point } \square \\

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Problem 2507

22. When two forces on the same object are equal and opposite, these forces are called forces. A. net B. frictional
II C. balanced D. unbalanced

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Problem 2508

If the value of a commodity decreases at a monthly rate of $1.2 \%$ , by what percentage does it decrease in a year? 13.5\%\% 14.1\%\% 14.4\%\% 8.7\%\% None of the above.

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Problem 2509

Out of 100 people sampled, 71 preferred Candidate A. Based on this, estimate what proportion of the voting population (p) prefers Candidate A. To construct a confidence interval with a $99 \%$ confidence level, you need to use which one of the following calculators? Confidence Interval for a Population Mean Given Statistics Hypothesis Test for a Population Mean Given Statistics Hypothesis Test for a Population Proportion Chi-Square Test for Independence Confidence Interval for a Population Proportion Confidence Interval for a Population Mean Given Data Two Independent Sample Means Comparison Given Statistics Two Independent Sample Means Comparison Given Data Chi-Square Test for Goodness of Fit Hypothesis Test for a Population Mean Given Data One-Way ANOVA Two Independent Proportions Comparison Two Dependent Sample Means Comparison Given Data a. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.
Confidence interval = $\square$ b. Express the same answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places. $\square$ $<p<$ $\square$ c. Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places. $p=\square \pm \square$

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Problem 2510

Frasier ran a lemonade stand at a village fair for 3 days. He spent a total of $£ 15$ to hire the stand. On each of the 3 days, he spent $£ 10$ on ingredients and sold $£ 22$ wortr of lemonade. a) Using the information above, write a calculation for the amount of money that Frasier made in total. b) Use your calculation to work out how much money Frasier made. Give your answer in pounds $(£)$ . Watch video

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Problem 2511

A factory manufactures a box such that the width is 5 inches less than twice its height, $x$ , and the length is 2 inches more than 3 times its height. What is the dimension for the height of volume of 168 cubic inches? (A) 3.5 inches (B) 4 inches (c) 6 inches (D) 10 inches

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Problem 2512

25. What is the net force on the block to the right?
II A. 2 N left B. 2 N right C. 8 N right D. 8 N left

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Problem 2513

```latex \text{Use the histogram below to answer the questions.}
\text{Annual Car Insurance Premiums for Students}
\begin{enumerate} \item How many students were surveyed? \text{There were 27 students who were surveyed.} \item What are the lower and upper class limits of the first and second classes? \text{First class: } \square - \square \text{Second class: } \square - \square \end{enumerate}
\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}
\text{Dialogue Transcript:}
\text{It looks like you want to answer some questions about a histogram related to annual car insurance premiums for students. However, I'm missing the actual histogram and perhaps the data ranges it depicts. Could you please describe the histogram or provide the class limits shown in it? Once I have that information, I can help you with determining the class limits for the first and second classes.}
\text{Extracted text from attached image:}
\text{Use the histogram below to answer the questions.}
\text{Annual Car Insurance Premiums for Students} ```

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Problem 2514

The transaction history at an electronic goods store indicates that 21 percent of customers purchase the extended warranty when they buy an eligible item. Suppose customers who buy eligible items are chosen at random, one at a time, until one is found who purchased the extended warranty. Let the random variable $X$ represent the number of customers it takes to find one who purchased the extended warranty. Assume customers' decisions on whether to purchase the extended warranty are independent. Which of the following is closest to the probability that $X>3$ ; that is, the probability that it takes more than 3 customers who buy an eligible item to find one who purchased the extended warranty? (A) 0.131 (B) 0.390 (C) 0.493 (D) 0.507 (E) 0.624

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Problem 2515

1 2
4. Neka cashed a check for $\$ 245$ . The teller gave him two $\$ 50$ bills, six $\$ 20$ bills and $f \$ 5$ bills. Determine the value of $f$ . 4 5 6 7 8 Sign out Nov 15 8:54 EXTD

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Problem 2516

What is the area, in $\mathrm{cm}^{2}$ , of the compound shape below? Give any surds in your answer in their simplest forms.
Not to scale

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Problem 2517

The random variable $W$ has a geometric distribution with $p=0.25$ . Approximately how far do the values of $W$ typically vary, on average, from the mean of the distribution? (A) 1.73 (B) 2.00 (C) 3.00 (D) 3.46 (E) 4.00

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Problem 2518

A recent report indicated that 22 percent of the households in a certain community speak a language other than English at home. A reporter will randomly select a household from the community until the first household that speaks a language other than English at home is selected. Let random variable $Q$ represent the number of attempts needed until the first household that speaks a language other than English at home is selected. The random variable $Q$ has a geometric distribution with $p=0.22$ . Which of the following is closest to the variance of the random variable? (A) 0.0484
B 3.5454 (C) 4.0144 (D) 4.5455 (E) 16.1157

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Problem 2519

We have a deck of 8 cards numbered from 1 to 8 . Some are white and some are grey, as shown below. 12 34
5 6 7 8
The cards numbered $1,4,6$ , and 8 are white. The cards numbered $2,3,5$ , and 7 are grey. Answer the following questions. Write each answer as a fraction.
A card will be drawn at random. (a) What is the probability that the card drawn is grey? $\square$ (b) What is the probability that the card drawn is grey, given that an evennumbered card is drawn? $\square$

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Problem 2520

Determine whether the following statement makes sense or does not make sense, and explain your reasoning. When I played high school basketball, I weighed 250 kilograms.
Choose the correct answer below. A. The statement does not make sense because 250 kilograms is too heavy for a teenager. B. The statement makes sense because 250 kilograms is not too heavy or too light for a teenager. C. The statement does not make sense because 250 kilograms is too light for a teenager.

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Problem 2521

$\triangle A B C \sim \triangle D E F, \overline{A B}=10 \mathrm{~m}, \overline{A C}=15 \mathrm{~m}, \overline{B C}=14 \mathrm{~m}$ The scale factor is 0.5 . Find the missing lengths.

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Problem 2522

Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated.
41 oz to g $\begin{aligned} 16 \mathrm{oz} & =1 \mathrm{lb} \\ 2000 \mathrm{lb} & =1 \mathrm{~T} \\ 1 \mathrm{oz} & \approx 28 \mathrm{~g} \\ 1 \mathrm{lb} & \approx 0.45 \mathrm{~kg} \\ 1 \mathrm{~T} & \approx 0.9 \mathrm{t} \end{aligned}$ $41 \mathrm{oz}=\square \mathrm{g}$

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Problem 2523

At the rate of 3 grams for 65 cents, how many grams can I buy with $\$ 11.70$ ?

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Problem 2524

Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated. $540 \mathrm{lb} \text { to } \mathrm{kg}$ $16 \mathrm{oz}=1 \mathrm{lb}$ $2000 \mathrm{lb}=1 \mathrm{~T}$ $1 \mathrm{oz} \approx 28 \mathrm{~g}$ $1 \mathrm{lb} \approx 0.45 \mathrm{~kg}$ $1 \mathrm{~T} \approx 0.9 \mathrm{t}$ $\square$ $540 \mathrm{lb}=$ $\square$ kg (Round to the nearest hundredth as needed.)

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Problem 2525

41 What is the slope of the line that passes through the points $(10,18)$ and $(-5,-12)$ ? (A) $\frac{1}{2}$ (B) 2 (c) -2 (D) $-\frac{1}{2}$

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Problem 2526

Previous Problem Problem List Next Problem
NYA Module 5: Problem 4 (1 point)
Two carts, A and B , are connected by a rope 39 ft long that passes over a pulley $P$ . The point $Q$ is on the floor 12 ft directly beneath $P$ and between the carts. Cart A is being pulled away from $Q$ at a speed of $2 \mathrm{ft} / \mathrm{s}$ . How fast is cart B moving toward $Q$ at the instant when cart A is 5 ft from $Q$ ? $\square$ $\mathrm{ft} / \mathrm{s}$ Preview My Answers Submit Answers

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Problem 2527

Order these numbers from least to greatest. $4 \frac{5}{9}, 4.66,4.644, \frac{37}{8}$

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Problem 2528

A house was valued at $\$ 302,000$ . Over several years, the value decreased by $17 \%$ , giving the house a new value. (a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal. New value $=$ $\square$ × Old value (b) Use your answer in part (a) to determine the new value.
New value: $\$$ $\square$

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Problem 2529

Calculate the compound interest earned on an account with an initial investment of $\$ 1200$ at $3.4 \%$ compounded semi-annually over 4 years. Show your formula.

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Problem 2530

m = #3 -5-4-3-2-172345 #4 A pilot takes a taxi to the airport. The taxi driver charges a $2.50 initial charge plus$ 2.65 per mile. Write an equation to find y, the total cost of the trip, if x is the number of miles for the trip. m= b = Equation: y= #5 m = b = Equation: y #6 A pool already contains 189 gallons of water. The pool begins to leak at a rate of 8 gallons per minute. Write an equation that shows y, the total number of gallons in the pool x minutes after Bob began to fill it. 8 + 2 -10-8-6-4-2 2 4 5 8 10 4 8 Equation: y = b = m = Equation: y = b =

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Problem 2531

For the two triangles given, $\angle C \cong \angle F$ and $\overline{B C} \cong \overline{E F}$ . Which of the following is needed as one additional piece of information to prove $\triangle A B C \cong \triangle D E F$ using the Side-Angle-Side (SAS) congruence theorem? (A) $\angle A \cong \angle D$
B $\angle B \cong \angle E$
C $\overline{A B} \cong \overline{D E}$ (D) $\overline{A C} \cong \overline{D F}$

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Problem 2532

A repair person charges a travel fee to visit a home and an hourly fee for the time spent fixing a leak. A repair that takes 2 h costs $\$ 100$ . A repair that takes 6 h costs $\$ 260$ .
Write an equation to represent the total cost of a repair, $y$ , as a function of the number of hours spent fixing a leak, $x$ .

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Problem 2533

Ryan currentty has $\$ 50$ in savings. He had been saving $\$ 8$ each week. Yesterday he spent $\$ 142$ of the savings. For how many weeks had he been saving? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 50,8 , and 142 . Let $w$ represent the number of weeks. $\square w+\square=$ $\square$
$\square$ w - $\square$ $\square$ J $=$ (b) Solve the equation in part (a) to find the number of weeks. $w=\square$

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Problem 2534

A falcon dives toward the ground with a constant velocity of $5.10 \mathrm{~m} / \mathrm{s}$ at $57.0^{\circ}$ below the horizontal. The Sun is directly overhead and casts a shadow of the falcon directly below it. What is the speed (in $\mathrm{m} / \mathrm{s}$ ) of its shadow on level ground? $\square$ $\mathrm{m} / \mathrm{s}$ Need Help? Read It

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Problem 2535

What is the area of this figure?
Write your answer using decimals, if necessary.

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Problem 2536

What is the area of this figure?
Write your answer using decimals, if necessary.

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Problem 2537

What is the area of this figure?
Write your answer using decimals, if necessary. $\square$ square miles

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Problem 2538

Using Local Linearity Linearization For each differential equation, let $y=f(x)$ be the particular solution to the differential equation with the given aitial condition. 1.) $\frac{d y}{d x}=(5-y) \sin x$ and $f\left(\frac{\pi}{2}\right)=2$ . a. Write an equation for the line tangent to the graph of $f$ at the point $\left(\frac{\pi}{2}, 2\right)$ b. Use the tangent line to approximate $f(1.5)$ . 2.) $\frac{d y}{d x}=-\frac{4 x}{y}$ and $f(1)=3$ . a. Write an equation for the line tangent to the graph of $f$ at the point $(1,3)$ b. Use the tangent line to approximate $f(1.1)$ .
Answer the questions for each function listed. 3.) $f(x)=2 \cos x+1$ is concave down on $\left[0, \frac{\pi}{2}\right]$ . 4.) $f(x)=\frac{e^{2 x}}{x+1}$ is concave up on $x>-1$ . a. What is the estimate for $f(3)$ using the local c. What is the estimate for $f(0.1)$ using the linear approximation for $f$ at $x=\frac{\pi}{2}$ ? Give an local linear approximation for $f$ at $x=0$ ? exact answer. b. Is it an underestimate or overestimate? d. Is it an underestimate or overestimate? Explain. Explain.

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Problem 2539

Q4: The figure illustrates an electromagnetic wave at $t=0$ . Which equation correctly describes the wave? a) $B_{z}=B \sin (k x+\omega t)$ b) $B_{y}=B_{0} \cos (k z-\omega t)$ c) $B_{z}=B_{0} \sin (k y-\omega t)$ d) $B_{y}=B_{0} \cos (k x+\omega t)$ e) $B_{y}=B_{0} \sin (k z-\omega t)$ f) $B_{z}=B_{0} \cos (k y+\omega t)$
Q5: An eye doctor wishes to prescribe contact lenses for a person who cannot focus clearly on objects more

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Problem 2540

Find the coordinates of the midpoint of a segment with the endpoints $(-4,-7)$ and $(12,-6)$ . $($ $\square$ , $\square$

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Problem 2541

Suppose that an accounting firm does a study to determine the time needed to complete one person's tax forms. It randomly surveys 175 people. The sample mean is standard deviation of 6.0 hours. The population distribution is assumed to be normal. NOTE: If you are using a Student's $t$ -distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) In words, define the random variables $X$ and $\bar{X}$ $\bar{X}$ is the time needed to complete one person's tax forms, and $X$ is the mean time needed to complete tax forms from a sample of 175 customers. $\bar{X}$ is the number of tax forms that an accounting firm completes, and $X$ is the mean number of tax forms that an accounting firm completes $X$ is the time needed to complete one person's tax forms, and $\bar{X}$ is the mean time needed to complete tax forms from a sample of 175 customers. $X$ is the number of tax forms that an accounting firm completes, and $\bar{X}$ is the mean number of tax forms that an accounting firm completes.

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Problem 2542

Question 17
Find the coordinates of the missing endpoint if $B$ is the midpoint of $\overline{A C}$ . $A(1,7), B(-3,1)$
Cl $\square$ $\square$

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Problem 2543

Three polynomials are factored below, but some coefficients and constants are missing. A d are integers. $\text { 1. } x^{2}+2 x-8=(a x+b)(c x+d)$
2. $2 x^{3}+2 x^{2}-24 x=2 x(a x+b)(c x+d)$
3. $6 x^{2}-15 x-9=3(a x+b)(c x+d)$
Fill in the table with the missing values of $a, b, c$ , and $d$ . a b c d
1. 1 \begin{tabular}{|l|l|l|l|} \hline 1.2 .2 & 1 & \\ \hline 1 & & -2 & 4 \\ \hline 3. & 1 & 1 & -3 \\ \hline & & & \\ \hline \end{tabular}

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Problem 2544

You MUST show your work. If you don't, you will not receive the credit. Each problem is on a different slide. This gives you plenty of room to insert a picture of your notes or to use the typing or pencil tool to show your work.
Keboard shortcut for a fraction is the "forward slash". Example: 3/4
6. Factor this expression (Show your work below) (3 points) $\frac{2}{3} x+4$

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Problem 2545

8. A set of stepladders has legs 150 centimetres and 140 centimetres long.
When the stepladder is fully open, the angle between the longer leg and the ground is $66^{\circ}$ .
Calculate $x^{t}$ , the size of the angle between the shorter leg and the ground.

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Problem 2546

Class: (1) The terminal side of an angle $\theta$ , is at $(4,7)$ . Find the six trigonometric functions for the angle.

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Problem 2547

Find the base of a parallelogram with an area $(A)$ of 72 square inches and height $(h)$ of 4 inches. Use the formula for the area of a parallelogram, $A=b h$ . 68 inches 288 inches $\frac{1}{18}$ inch 18 inches

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Problem 2548

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 360 minutes, the monthly cost will be $\$ 183$ . If the customer uses 800 minutes, the monthly cost will be $\$ 381$ . A) Find an equation in the form $y=m x+b$ , where $x$ is the number of monthly minutes used and $y$ is the total monthly of the Splint plan.
Answer: $y=$ $\square$ B) Use your equation to find the total monthly cost if 910 minutes are used.
Answer: If 910 minutes are used, the total cost will be $\square$ dollars.

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Problem 2549

A voltage $V$ across a resistance $R$ generates a current $I=V / R$ . If a constant voltage of 8 volts is put across a resistance that is increasing at a rate of 0.1 ohms per second when the resistance is 7 ohms, at what rate is the current changing? (Give units..) rate $=$ $\square$

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Problem 2550

Systems of Equations and Inequalities: Tutorial ? Question
Projectile motion can be modeled by this quadratic equation, where $y$ represents the height of the object, in feet and $t$ represents time, in seconds. $y=-16 t^{2}+v_{0} t+h_{0}$
Note that $v_{0}$ and $h_{0}$ are values representing the object's initial upward velocity and initial height, respectively. Suppose two science club members have each thrown a tennis ball into the air. The first student throws the ball from a height of 3 feet with an initial upward velocity of 15 feet/second. The second student throws the ball from a height of 4 feet with an initial upward velocity of 35 feet/second.
First write a system of equations to represent this situation. Then use the graphing tool to find and analyze the solution. Select the correct answer from each drop-down menu.
First student: $y=-16 t^{2}+$ $\square$ $\square$ Second student: $y=-16 t^{2}+$ $\square$ $\square$ The solution to this system of nonlinear equations is time. $\square$ because it results in a $\square$ value of

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Problem 2551

What do you know about the transformations from the parent function if $g(x)=3 \sin (x)-4$

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Problem 2552

What is the surface area of this cone? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square millimeters

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Problem 2553

Which example does NOT represent a vector? (HINT: A vector has both $\qquad$ and $\qquad$
Warren pushes the heavy box slowly across the floor towards the front door. Bob the bug walks 5 centimeters west, then turns and walks 5 centimeters north. Barb drives her car drives 60 m .p.h north for two hours.
A child wakes up in the morning, leaps out of bed, goes wild and bounces and hops and jumps around the room, and then returns to his bed. Multiple Choice 0.4 points

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Problem 2554

78. The probability that a marksman will hit a target each time he shoots is 0.89 . If he fires 15 times, what is the probability that he hits the target at most 13 times?

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Problem 2555

paid a total of $\$ 34.00$ for 32 cupcakes. Some of the cupcakes were strawberry and the rest were vanilla. strawberry cupcake costs $\$ 0.80$ . vanilla cupcake costs $\$ 1.50$ . y strawberry and vanilla cupcakes did the customer purchase? he correct answer from each drop-down menu to complete the statement. tomer purchased - Choose the correct answer $\ldots$ strawberry cupcakes and - Choose the correct answer -7 vanilla cupcakes.

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Problem 2556

What is the $y$ -intercept of the line with the equation below? $y+17=12-2 x$

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Problem 2557

What is the vertex of the following quadratic equation? $y=x^{2}+8 x$ $(4,-16)$ $(4,16)$ $(-4,-16)$ (-4.16) Desk 1 SAMSUNG

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Problem 2558

Part A Diego deposited $\$ 10,000$ for 4 years at a rate of $6 \%$ simple interest. Find the amount of interest Dlego earned after four years. Interest = \\square$
Part B If Diego closes his account after the four years, how much money will he have total? Total Amount $=\$$ $\square$

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Problem 2559

2 (Lesson 30) Directions - Identify the key components, create a compound interest equation, and answer the questions. You Invest $\$ 4000$ into an account that compounds interest on a quarterly basis at $3 \%$ . How much money will you have after 5 years? Compound interest formula: $A=P\left(1+\frac{r}{n}\right.$ ) a) $P=$ $\square$ e) Write the compound interest equation that would be used to solve this problem. $\square$ f) Value after 5 years = b) $r=$ $\square$ (round to two decimal places) $\square$ c) $n=$ $\square$ d) $\mathrm{t}=$ $\square$

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Problem 2560

The axis of symmetry is the horizontal line at the vertex. True False

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Problem 2561

5. Caleb eams points on his credit card that he can use towards future purchases. He earns four points per dollar spent on fights, two points per dollar spent at hotets, and one poink per dollar spent on all other purchases. Last year, he charged a total of 59,480 and earned 14,660 points. The amount of money spent on flights was $\$ 140$ more than twice the amount of money spent on hotek. Find the amount of money spent on each type of purchase.

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Problem 2562

3 (Lesson 30 ) Charls Invested $\$ 140$ . She earned a simple Interest of $3 \%$ per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charls recelved at the end of two years? (A) $\$ 4.20$ (B) $\$ 6.00$ (C) $\$ 8.40$ (D) $\$ 12.60$

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Problem 2563

6) How are positive fractions and their opposites retuted on a numberlibe?
Common Benomindtor

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Problem 2564

mULTIPLE CHOIGE
1. An object moves in a circle at a constant speed. Which of the following is not true of the object? A. Its centripetal acceleration points toward the center of the circle. B. Its tangential speed is constant. C. Its velocity is constant. D. A centripetal force acts on the object.
Use the passage below to answer questions 2-3. A car traveling at $15 \mathrm{~m} / \mathrm{s}$ on a flat surface turns in a circle with a radius of 25 m .
2. What is the centripetal acceleration of the car? F. $2.4 \times 10^{-2} \mathrm{~m} / \mathrm{s}^{2}$ G. $0.60 \mathrm{~m} / \mathrm{s}^{2}$ H. $9.0 \mathrm{~m} / \mathrm{s}^{2}$ J. zero
3. What is the most direct cause of the car's centripetal acceleration? A. the torque on the steering wheel B. the torque on the tires of the car C. the force of friction between the tires and the road D. the normal force between the tires and the road
4. Earth ( $m=5.97 \times 10^{24} \mathrm{~kg}$ ) orbits the sun ( $m=1.99 \times$ $10^{30} \mathrm{~kg}$ ) at a mean distance of $1.50 \times 10^{11} \mathrm{~m}$ . What is the gravitational force of the sun on Earth? ( $G=$ $6.673 \times 10^{-11} \mathrm{~N}^{-\mathrm{m}^{2}} / \mathrm{kg}^{2}$ ) F. $5.29 \times 10^{32} \mathrm{~N}$ G. $3.52 \times 10^{22} \mathrm{~N}$ H. $5.90 \times 10^{-2} \mathrm{~N}$ J. $1.77 \times 10^{-8} \mathrm{~N}$
5. Which of the following is a correct interpretation of the expression $a_{s}=g=G \frac{m_{E_{2}}}{r^{2}}$ ? A. Gravitational field strength changes with an object's distance from Earth. B. Free-fall acceleration changes with an object's distance from Earth. C. Free-fall acceleration is independent of the falling object's mass. D. All of the above are correct interpretations.
6. What data do you need to calculate the orbital speed of a satellite? F. mass of satellite, mass of planet, radius of orbit G. mass of satellite, radius of planet, area of orbit H. mass of satellite and radius of orbit only J. mass of planet and radius of orbit only
7. Which of the following choices correctly describes the orbital relationship between Earth and the sun? A. The sun orbits Earth in a perfect circle. B. Earth orbits the sun in a perfect circle. C. The sun orbits Earth in an ellipse, with Earth at one focus. D. Earth orbits the sun in an ellipse, with the sun at one focus.
Use the diagram below to answer questions 8-9.
8. The three forces acting on the wheel above have equal magnitudes. Which force will produce the greatest torque on the wheel? F. $\mathrm{F}_{1}$ G. $\mathrm{F}_{2}$ H. $\mathrm{F}_{3}$ J. Each force will produce the same torque. $8 \quad$ Chapter 7

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Problem 2565

Translate the statement $9 n+3 \geq 5 n$ into a sentence.
Three $\square$ than $\square$ times a number is at least $\square$ times the number. DONE

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Problem 2566

4 Mr. Banks deposited $\$ 5000$ Into an account that earns $3.5 \%$ Interest (compounded annually) and he will let it accrue money for 7 years. About how much more money would he get if he deposited the same sum of money in an account that compounds Interest continu Compound Interes $A=P\left(1+\frac{r}{n}\right)^{n t}$ Continumus Compound Formula $A=P e^{i t}$ (A) $\$ 25.12$ (B) $\$ 29.23$ (C) $\$ 26.71$ (D) It would be the same amount.

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Problem 2567

What is the rate of change of a line going through the points $(-2,-3)$ and $(2,9)$ . *Only type the value in the space provided $\square$

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Problem 2568

A highily anticipated sci-fi movie operied up in theaters with a special midnight showing thils past friday. For the Saturday edition of his town/s newspaper, Alorce wrote a colurnin about local interest in the movie. He found that the attendance for the midright showing among all the theaters in the state had a mean of 230 people with a standard deviation of 14 people. The attendance for the rridright showing at his torn's thesater was 250 people. (a) Find the $z$ -score of the attendance at the theater in Alonze's toun relative to the attendances among all the theaters in the state. Round your aniswer to two decimal places. $z=$ $\square$ (b) Fill in the blanks to interpret the $z$ -score of the attendarice at the theater in Alonzo's town. Make sure to express your ancwer in terms of a positive number of standard deviations.
The attendance at the theater in Alonzo's town was $\square$ standard deviations (Choose one) $\square$ the mean attendance among all the theaters in the state.

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Problem 2569

porerdiby Knowledge Mathes
Finding a Job Math Quiz
QUESTION 3 of 10: Job A pays $\$ 13.00$ per hour. Job B pays $\$ 11.00$ per hour but has health benefits. Health insurance costs $\$ 3,400$ per y You expect to work 2,000 hours during the year. Ignoring taxes, which job will leave you with more money at the end of the year? a) $J o b A$ b) $J o b B$ c) Not enough information Submit

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Problem 2570

「层了 The sides of a triangle have lengths 21,29 , and 31 . What kind of triangle is acute right obtuse

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Problem 2571

A truck that can carry no more than 8000 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 200 lb and each piano weighs 475 lb . Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 20 refrigerators and 9 pianos overload the truck? Explain.
Let $x$ be the number of refrigerators in the truck and $y$ be the number of pianos in the truck. Write an inequality to show how many refrigerators and how many pianos the truck could carry. y $\square$ $\square$ (Use integers or simplified fractions for any numbers in the inequality. Do not factor.)

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Problem 2572

Jose spent $\$ 9.30$ on 15 pencils. How much did each pencil cost? Enter your answer in the box. \\square$

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Problem 2573

( ${ }^{2}$ . Can the sides of a triangle have lengths of 10,22 , and 32 ? If so, what kind of triangle is it? [竑] yes, acute yes, right yes, obtuse no Submit

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Problem 2574

Select strategies for adding within 1000
Ashkii and Nuka are trying to add $487+396$ . Ashkii adds $500+400$ , then subtracts 13 . Nuka adds $487+400$ , then subtracts 4 . Whose result is equal to $487+396 ?$ Choses 1 mower: (C) Only Ashkirs result (D) Only Nuka's result C) Both Ashkil's and Newas results
Reldetricontent Brekinespart 3-dieit acdition problems

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Problem 2575

Adult tickets to the fall play cost $\$ 6$ and student tickets cost $\$ 3$ . The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected $\$ 660$ from ticket sales, how many student tickets were sold? The drama class sold $\qquad$ student tickets.
The solution is

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Problem 2576

0) vescribe the humbers that are rational, but nof postive floction or integers

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Problem 2577

Yesterday
This question has two parts. To determine the favorite sport of students in his school, Danny surveyed the football team. Danny's sample is $\qquad$ 3 because everyone in the population $\qquad$ an equal chance of being selected for the sample.
Complete the sentence by selecting the correct answers.
3. The best selection is - A. biased B. not biased
4. The best selection is - A. has B. does not have Released STAAR ${ }^{\text {® }}$

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Problem 2578

ovement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. A store is selling two mixtures of coffee beans in one-pound bags. The first mixture has 12 ounces of Sumatra combined with ounces of Celebes Kalossi, and costs $\$ 15$ . The second mixture has 4 ounces of Sumatra and 12 ounces of Celebes Kalossi, and costs $\$ 21$ . How much does one ounce of Sumatra and one ounce of Celebes Kalossi cost? $\$ 1.65$ for Sumatra and $\$ 1.20$ for Celebes Kalossi There is no solution. $\$ 0.75$ for Sumatra and $\$ 1.50$ for Celebes Kalossi $\$ 1.50$ for Sumatra and $\$ 0.75$ for Celebes Kalossi

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Problem 2579

Jse for \# 8-11 It is commonly accepted that $70 \%$ of all apartment dwellers in Gotham City deadbolt their doors in addition to locking them as an added precaution against burglary. A newpaper story reports that a recent survey of 20 idomly selected apartment dwellers in Kings, one of the boroughs of the city, found that 16 of the 20 respondents deadbolt their doors. The reporter concluded that "since 16 out of 20 is $80 \%$ , it seems that Kings residents are more worried about burglary than the city as a whole." We want to use simulation to test this conclusion by determining how likely it would be to select a sample of 20 with 16 or more deadbolters from a population where only $70 \%$ are deadbolters.
8. Describe in words how you would use the table of random digits below to simulate a single simple random sample of 20 apartment dwellers (one trial).
9. Use the random digit table reproduced below to simulate an SRS of 20 apartment dwellers. You may show your work on the table or make a separate listing. \begin{tabular}{llllll} 71487 & 09984 & 29077 & 14863 & 61683 & 47052 \\ 62224 & 51025 & 35476 & 55972 & 39421 & 65850 \\ 4266 & 35435 & 43742 & 11937 & & \end{tabular}
10. How many people were deadbolters in your simulated sample from \#9?
11. For timed-test purposes, this was only one trial. Carefully describe how you would conduct the entire simulation to answer the question at hand if you had a larger table of random digits and more time.

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Problem 2580

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer Question ID: 62981
Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $\$ 52$ , and then they charge her $\$ 8$ per hour. She has $\$ 144$ available to spend on car rental. What is the greatest number of hours for which she can rent the car? (The car cannot be rented for part of an hour.) 18 hours 11 hours 12 hours 11.5 hours

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Problem 2581

Oenvar200020 A. 6.61 g sample of an unknowin sall $(M M=116.82 \mathrm{~g} / \mathrm{mol} / \mathrm{is}$ salt and waterts $23.72^{\circ}$ . Atter the sati has . the salt and wale the enperature of the solution 1 s 28.54

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Problem 2582

A company lends $\$ 1,700,000$ for 1 year at $12 \%$ , compounded monthly to another company that manufactures tug boats. Find (a) the future value and (b) the interest. Click the icon to view the compound interest table. (a) Future value $=\$ 1904000$ (Simplify your answer.) (b) Interest $=\$ 12$ (Simplify your answer.)

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Problem 2583

How many groups of 3 can you make out of 6 ?

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Problem 2584

2. You are interested in examining whether criminal justice majors are more likely than non-criminal justice majors to support the death penalty. You take a sample of 300 college students and ask their major and if they support use of the death penalty for murder. What statistic would you calculate to test your hypothesis? Set up Step 1 for your hypothesis testing

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Problem 2585

6. Given the vertex $(2,-5)$ and $y$ -intercept $(0,-4)$ , what is the vertex form of this quadratic equation?
Identify the given $h, k, x$ , and $y$ -value to substitute into the Vertex Form: $y=a(x-h)^{2}+k$ Then solve for " $a$ " value that is needed to complete the vertex form. $\begin{array}{l} h=2 \quad k=-5 \quad y=-4 x=0 \\ y=a(x-h)^{2}+k \\ -4=a(0-2)^{2}-5 \\ -4=a c \end{array}$

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Problem 2586

For the year ending December 31, 2022, Cobb Company accumulates the following data for the Plastics Division, which it operates as an investment center: contribution margin $-\$ 700,000$ budget, $\$ 710,000$ actual; controllable fixed costs $-\$ 300,000$ budget, $\$ 302,000$ actual. Average operating assets for the year were $\$ 2,000,000$ .
Prepare a responsibility report for the Plastics Division beginning with contribution margin for the year ending December 31, 2022. (Round ROI to 1 decimal place, e.g. 1.5\%.)
COBB COMPANY Plastics Division Responsibility Report

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Problem 2587

3. The weekly rental cost of a 20 -foot recreational vehicle is $\$ 129.50$ plus $\$ 0.15$ per mile. a) Find a linear function that expresses the cost, $C$ , as a function of miles driven $m$ . b) What is the rental cost if 860 miles are driven? c) How many miles were driven if the rental cost is $\$ 213.80$ ?

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Problem 2588

POSSIBLE POINTS: 25
A triangular playground has sides of lengths 475 feet, 595 feet, and 401 feet. What are the measures of the angles between the sides, to the nearest tenth of a degree? the angle between $475^{\circ}$ and 401 the angle between $475^{\circ}$ and $595^{\circ}$ the angle between $595^{\circ}$ and 401 85. 42.2 52.7

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Problem 2589

Mail works as an IT technician for a local company. There are 1000 computers on the company's network and 958 of them are not infected with a wirus Mai chooses a computer on the company's notwork at random. Tef the event $A$ and the event $B$ he act followe. A: The computer Mal chooses is not infected with the virus. B: The computer Mai chooses is infected with the virus. Find the following probabilities. Write vour answers as deelmal numbers and do not round. $P(A)=$ $\square$ $P(B)=$ $\square$

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Problem 2590

Find the Taylor polynomial $T_{3}(x)$ for the function $f$ centered at the number $a$ . $\begin{array}{r} f(x)=x e^{-7 x}, \quad a=0 \\ T_{3}(x)=\square \end{array}$
Graph $f$ and $T_{3}$ in the same viewing rectangle.

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Problem 2591

$\text{Top management is unhappy with the investment center's return on investment (ROI). It asks the manager of the South Division to submit plans to improve ROI in the next year. The manager believes it is feasible to consider the following independent courses of action.}$ \begin{enumerate} \item \text{Increase sales by } \300,000 \text{ with no change in the contribution margin percentage.} \item \text{Reduce variable costs by } \$150,000. \item \text{Reduce average operating assets by } 6.25\%. \end{enumerate} \begin{itemize} \item[(a)] \text{Compute the return on investment (ROI) for the current year. (Round ROI to 2 decimal places, e.g. 1.57\%.)} \text{Return on Investment } \square \% \] \item[(b)] \text{Using the ROI equation, compute the ROI under each of the proposed courses of action. (Round ROI to 2 decimal places, e.g. 1.57\%.)} \square \] \text{Action 1 } \square \% \text{Action 2 } \square \% \] \text{Action 3 } \square \% \] \end{itemize} \text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}\text{Dialogue Transcript:}\text{Hello! To help you calculate the return on investment (ROI) for the current year and under each proposed course of action, I'll need some additional information. Specifically, I need:} \begin{enumerate} \item \text{The current sales amount and contribution margin percentage.} \item \text{The current variable costs.} \item \text{The current average operating assets.} \end{enumerate} \text{Once I have this data, I can guide you through the calculations. Please provide this information so we can proceed!}9.6\text{Thank you for providing a figure, but it seems like we're missing some additional details to properly calculate the return on investment (ROI). Could you please clarify what the "9.6" refers to? Additionally, I still need:} \begin{enumerate} \item \text{The current sales amount.} \item \text{The current contribution margin percentage.} \item \text{The current variable costs.} \item \text{The current average operating assets.} \end{enumerate} \text{Once you provide these details, I can help with the calculations!}\text{Sales 3,000,000, Variable Costs 1,950,000, Controllable fixed costs 600,000, average operating assets 5,00,000}$

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Problem 2592

urrent Attempt in Progress Myers Company uses a flexible budget for manufacturing overhead based on direct labor hours. Budgeted variable manufacturing overhead costs per direct labor hour are as follows. \begin{tabular}{lr} Indirect labor & $\$ 1.00$ \\ Indirect materials & 0.70 \\ Utilities & 0.40 \end{tabular}
Budgeted fixed overhead costs per month are Supervision $\$ 4,000$ , Depreciation $\$ 1,200$ , and property Taxes $\$ 800$ . The company believes it will normally operate in a range of 7,000-10,000 direct labor hours per month.
Assume that in July 2022, Myers Company incurs the following manufacturing overhead costs. \begin{tabular}{lrllr} \multicolumn{2}{c}{ Variable Costs } & & \multicolumn{2}{c}{ Fixed Costs } \\ \cline { 1 - 2 } \cline { 4 - 5 } Indirect labor & $\$ 8,800$ & & Supervision & $\$ 4,000$ \\ Indirect materials & 5,800 & & Depreciation & 1,200 \\ Utilities & 3,200 & & Property taxes & 800 \end{tabular} (a) Prepare a flexible budget performance report, assuming that the company worked 9,000 direct labor hours during the month. (List variable costs before fixed costs.)

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Problem 2593

The Cadet is a popular model of sport utility vehicle. The bivariate data given below were taken from a sample of fifteen Cadets, each houghe "ney" tyo yeaf ago and each sold "used" within the past month. For each Cadet in the sample, we have ligted heth the mileage, x (in thaysanda), that the Cader had at the time it was sold used, and the price, y (in thousands of dollars), at which the Cadet was sold used, These data are shown graphically in the geatrer plat in Figure 1. \begin{tabular}{|c|c|} \hline \begin{tabular}{l} Mileage, x \\ (in thousands) \end{tabular} & \begin{tabular}{l} Used selling price, y \\ (in thousands of dollars) \end{tabular} \\ \hline 25.8 & 26.7 \\ \hline 15.5 & 34,1 \\ \hline 23.9 & 20.1 \\ \hline 21.1 & 30.6 \\ \hline 22.0 & 31.3 \\ \hline 20.9 & 31.6 \\ \hline 28.1 & 25.6 \\ \hline 23.2 & 33.1 \\ \hline 24.3 & 30.5 \\ \hline 29.2 & 20.0 \\ \hline 24.5 & 28.0 \\ \hline 27.0 & 30.7 \\ \hline 37.8 & 22.0 \\ \hline 28.0 & 29.7 \\ \hline 34.3 & 26.0 \\ \hline \end{tabular} Send data to calculator Send data to Excel
The value of the sample correlation coefficient $r$ for these data is approximately -0.856 . Answer the following. Carry your intermediate computations to at least four decimal places. (If necessary, consult a bat of formular.) (a) What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places. (b) What is the value of the $y$ -intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. $\square$

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Problem 2594

5. [-/5 Points] DETAILS MY NOTES SCALCCC5 8.8.010.
Find the Taylor polynomial $T_{n}(x)$ for the function $f$ at the number $a$ . Graph $f$ and $T_{3}$ on the same paper. $\begin{aligned} & f(x)=\frac{\ln (3 x)}{2 x}, a=\frac{1}{3}, n=3 \\ & T_{3}(x)=\square \end{aligned}$ Need Help? Read it Submit Answer

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Problem 2595

$\begin{array}{l}\text { of Find of } k \text { volue } \\ 0=2 x-x+9-k\end{array}$

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Problem 2596

Determine if the following lengths can be sides of a triangle. If yes, classify the triangle by SIDES. $\qquad$ 6. Lengths: $2,8,10$ A. Yes; Isosceles B. Yes; Scalene C. Yes; Equilateral D. Not a triangle
7. Lengths: 8, 10, 16 A. Yes; Isosceles B. Yes; Scalene C. Yes; Equilateral D. Not a triangle

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Problem 2597

x Andy used the number line model shown to help him write an equation. -6 -5 -4 -3 -2 -1 0 1 3 4 5 6 7 Which of the following could be Andy's equation? A -5-(-5)=10 00 B -5+ (-5)=-10 C -5+5=0 * D 5-0=-5 Progress Learning 2024, All Rights Reserved. Terms | Privacy PHONE 1-877-377-9537 | FAX 1-877-816-0808 Blog

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Problem 2598

$\qquad$ 10. Which of the following are possible measures for the sides of a triangle? A. $2,3,6$ B. $1,2,2$ C. $2,9,11$ D. None of the above. 11. A. 65 B. 72 C. 93 D. 87 12. A. 50 B. 60 C. 70 D. 80 13. A. 60 B. 80 C. 40 D. 50
14. In $\triangle \mathrm{DEF}, \mathrm{DE}=12, \mathrm{EF}=24$ , and $\mathrm{DF}=13$ . The largest angle is: A. $\angle D$ B. $\angle E$ C. $\angle \mathrm{F}$ D. Cannot be determined.
15. Find $x$ . A. $42^{\circ}$ B. $14^{\circ}$ C. $69^{\circ}$ D. $23^{\circ}$

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Problem 2599

A 5.4 ft tall man is walking away from a 29 ft tall lamp post. If he is walking at a rate of $3 \mathrm{ft} / \mathrm{s}$ , at what rate is the length of his shadow changing?

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Problem 2600

\text{Given a hexagon with side lengths: } 2 \text{ cm}, 8 \text{ cm}, 16 \text{ cm}, 13 \text{ cm}, 8 \text{ cm}, \text{ and } 23 \text{ cm, find the perimeter of the hexagon.}

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1 ...23 24 25 26 27 28 29 ...122

Word Problem

Problem 2501

Problem 2502

Problem 2503

12 The graph of the function m(x)=x3+3x2−2x−4m(x)=x^{3}+3 x^{2}-2 x-4m(x)=x3+3x2−2x−4 has a zero at -1 . what are the other zeros of the function? (A) -2 and 2 (B) -1 and 4 (C) −1±5-1 \pm \sqrt{5}−1±5​ (D) 1±231 \pm 2 \sqrt{3}1±23​

Problem 2504

Problem 2505

Find the area of a triangle with C=40.3∘,B=62.9∘\mathrm{C}=40.3^{\circ}, \mathrm{B}=62.9^{\circ}C=40.3∘,B=62.9∘, and b=5.63\mathrm{b}=5.63b=5.63. Round to two decimal places:

Problem 2506

Problem 2507

22. When two forces on the same object are equal and opposite, these forces are called forces. A. net B. frictionalII C. balanced D. unbalanced

Problem 2508

If the value of a commodity decreases at a monthly rate of 1.2%1.2 \%1.2%, by what percentage does it decrease in a year? 13.5\%\% 14.1\%\% 14.4\%\% 8.7\%\% None of the above.

Problem 2509

Problem 2510

Problem 2511

A factory manufactures a box such that the width is 5 inches less than twice its height, xxx, and the length is 2 inches more than 3 times its height. What is the dimension for the height of volume of 168 cubic inches? (A) 3.5 inches (B) 4 inches (c) 6 inches (D) 10 inches

Problem 2512

25. What is the net force on the block to the right?II A. 2 N left B. 2 N right C. 8 N right D. 8 N left

Problem 2513

Problem 2514

Problem 2515

1 24. Neka cashed a check for $245\$ 245$245. The teller gave him two $50\$ 50$50 bills, six $20\$ 20$20 bills and f$5f \$ 5f$5 bills. Determine the value of fff. 4 5 6 7 8 Sign out Nov 15 8:54 EXTD

Problem 2516

What is the area, in cm2\mathrm{cm}^{2}cm2, of the compound shape below? Give any surds in your answer in their simplest forms.Not to scale

Problem 2517

The random variable WWW has a geometric distribution with p=0.25p=0.25p=0.25. Approximately how far do the values of WWW typically vary, on average, from the mean of the distribution? (A) 1.73 (B) 2.00 (C) 3.00 (D) 3.46 (E) 4.00

Problem 2518

Problem 2519

Problem 2520

Problem 2521

△ABC∼△DEF,AB‾=10 m,AC‾=15 m,BC‾=14 m\triangle A B C \sim \triangle D E F, \overline{A B}=10 \mathrm{~m}, \overline{A C}=15 \mathrm{~m}, \overline{B C}=14 \mathrm{~m}△ABC∼△DEF,AB=10 m,AC=15 m,BC=14 m The scale factor is 0.5 . Find the missing lengths.

Problem 2522

Problem 2523

At the rate of 3 grams for 65 cents, how many grams can I buy with $11.70\$ 11.70$11.70 ?

Problem 2524

Problem 2525

41 What is the slope of the line that passes through the points (10,18)(10,18)(10,18) and (−5,−12)(-5,-12)(−5,−12) ? (A) 12\frac{1}{2}21​ (B) 2 (c) -2 (D) −12-\frac{1}{2}−21​

Problem 2526

Problem 2527

Order these numbers from least to greatest. 459,4.66,4.644,3784 \frac{5}{9}, 4.66,4.644, \frac{37}{8}495​,4.66,4.644,837​

Problem 2528

Problem 2529

Calculate the compound interest earned on an account with an initial investment of $1200\$ 1200$1200 at 3.4%3.4 \%3.4% compounded semi-annually over 4 years. Show your formula.

Problem 2530

Problem 2531

Problem 2532

Problem 2533

Problem 2534

Problem 2535

What is the area of this figure?Write your answer using decimals, if necessary.

Problem 2536

What is the area of this figure?Write your answer using decimals, if necessary.

Problem 2537

What is the area of this figure?Write your answer using decimals, if necessary. □\square□ square miles

Problem 2538

Problem 2539

Problem 2540

Find the coordinates of the midpoint of a segment with the endpoints (−4,−7)(-4,-7)(−4,−7) and (12,−6)(12,-6)(12,−6). ((( □\square□ , □\square□

Problem 2541

Problem 2542

Question 17Find the coordinates of the missing endpoint if BBB is the midpoint of AC‾\overline{A C}AC. A(1,7),B(−3,1)A(1,7), B(-3,1)A(1,7),B(−3,1)Cl □\square□ □\square□

Problem 2543

Problem 2544

Problem 2545

8. A set of stepladders has legs 150 centimetres and 140 centimetres long.When the stepladder is fully open, the angle between the longer leg and the ground is 66∘66^{\circ}66∘.Calculate xtx^{t}xt, the size of the angle between the shorter leg and the ground.

Problem 2546

Class: (1) The terminal side of an angle θ\thetaθ, is at (4,7)(4,7)(4,7). Find the six trigonometric functions for the angle.

Problem 2547

Find the base of a parallelogram with an area (A)(A)(A) of 72 square inches and height (h)(h)(h) of 4 inches. Use the formula for the area of a parallelogram, A=bhA=b hA=bh. 68 inches 288 inches 118\frac{1}{18}181​ inch 18 inches

Problem 2548

Problem 2549

A voltage VVV across a resistance RRR generates a current I=V/RI=V / RI=V/R. If a constant voltage of 8 volts is put across a resistance that is increasing at a rate of 0.1 ohms per second when the resistance is 7 ohms, at what rate is the current changing? (Give units..) rate === □\square□

Problem 2550

Problem 2551

What do you know about the transformations from the parent function if g(x)=3sin⁡(x)−4g(x)=3 \sin (x)-4g(x)=3sin(x)−4

Problem 2552

What is the surface area of this cone? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square millimeters

Problem 2553

Problem 2554

12 The graph of the function $m(x)=x^{3}+3 x^{2}-2 x-4$ has a zero at -1 . what are the other zeros of the function? (A) -2 and 2 (B) -1 and 4 (C) $-1 \pm \sqrt{5}$ (D) $1 \pm 2 \sqrt{3}$

Find the area of a triangle with $\mathrm{C}=40.3^{\circ}, \mathrm{B}=62.9^{\circ}$ , and $\mathrm{b}=5.63$ . Round to two decimal places:

22. When two forces on the same object are equal and opposite, these forces are called forces. A. net B. frictional
II C. balanced D. unbalanced

If the value of a commodity decreases at a monthly rate of $1.2 \%$ , by what percentage does it decrease in a year? 13.5\%\% 14.1\%\% 14.4\%\% 8.7\%\% None of the above.

A factory manufactures a box such that the width is 5 inches less than twice its height, $x$ , and the length is 2 inches more than 3 times its height. What is the dimension for the height of volume of 168 cubic inches? (A) 3.5 inches (B) 4 inches (c) 6 inches (D) 10 inches

25. What is the net force on the block to the right?
II A. 2 N left B. 2 N right C. 8 N right D. 8 N left

1 2
4. Neka cashed a check for $\$ 245$ . The teller gave him two $\$ 50$ bills, six $\$ 20$ bills and $f \$ 5$ bills. Determine the value of $f$ . 4 5 6 7 8 Sign out Nov 15 8:54 EXTD

What is the area, in $\mathrm{cm}^{2}$ , of the compound shape below? Give any surds in your answer in their simplest forms.
Not to scale

The random variable $W$ has a geometric distribution with $p=0.25$ . Approximately how far do the values of $W$ typically vary, on average, from the mean of the distribution? (A) 1.73 (B) 2.00 (C) 3.00 (D) 3.46 (E) 4.00

$\triangle A B C \sim \triangle D E F, \overline{A B}=10 \mathrm{~m}, \overline{A C}=15 \mathrm{~m}, \overline{B C}=14 \mathrm{~m}$ The scale factor is 0.5 . Find the missing lengths.

At the rate of 3 grams for 65 cents, how many grams can I buy with $\$ 11.70$ ?

41 What is the slope of the line that passes through the points $(10,18)$ and $(-5,-12)$ ? (A) $\frac{1}{2}$ (B) 2 (c) -2 (D) $-\frac{1}{2}$

Order these numbers from least to greatest. $4 \frac{5}{9}, 4.66,4.644, \frac{37}{8}$

Calculate the compound interest earned on an account with an initial investment of $\$ 1200$ at $3.4 \%$ compounded semi-annually over 4 years. Show your formula.

What is the area of this figure?
Write your answer using decimals, if necessary.

What is the area of this figure?
Write your answer using decimals, if necessary.

What is the area of this figure?
Write your answer using decimals, if necessary. $\square$ square miles

Find the coordinates of the midpoint of a segment with the endpoints $(-4,-7)$ and $(12,-6)$ . $($ $\square$ , $\square$

Question 17
Find the coordinates of the missing endpoint if $B$ is the midpoint of $\overline{A C}$ . $A(1,7), B(-3,1)$
Cl $\square$ $\square$

8. A set of stepladders has legs 150 centimetres and 140 centimetres long.
When the stepladder is fully open, the angle between the longer leg and the ground is $66^{\circ}$ .
Calculate $x^{t}$ , the size of the angle between the shorter leg and the ground.

Class: (1) The terminal side of an angle $\theta$ , is at $(4,7)$ . Find the six trigonometric functions for the angle.

Find the base of a parallelogram with an area $(A)$ of 72 square inches and height $(h)$ of 4 inches. Use the formula for the area of a parallelogram, $A=b h$ . 68 inches 288 inches $\frac{1}{18}$ inch 18 inches

A voltage $V$ across a resistance $R$ generates a current $I=V / R$ . If a constant voltage of 8 volts is put across a resistance that is increasing at a rate of 0.1 ohms per second when the resistance is 7 ohms, at what rate is the current changing? (Give units..) rate $=$ $\square$

What do you know about the transformations from the parent function if $g(x)=3 \sin (x)-4$

What is the surface area of this cone? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square millimeters

What is the $y$ -intercept of the line with the equation below? $y+17=12-2 x$

What is the vertex of the following quadratic equation? $y=x^{2}+8 x$ $(4,-16)$ $(4,16)$ $(-4,-16)$ (-4.16) Desk 1 SAMSUNG

6) How are positive fractions and their opposites retuted on a numberlibe?
Common Benomindtor

Translate the statement $9 n+3 \geq 5 n$ into a sentence.
Three $\square$ than $\square$ times a number is at least $\square$ times the number. DONE

What is the rate of change of a line going through the points $(-2,-3)$ and $(2,9)$ . *Only type the value in the space provided $\square$

Jose spent $\$ 9.30$ on 15 pencils. How much did each pencil cost? Enter your answer in the box. \\square$

( ${ }^{2}$ . Can the sides of a triangle have lengths of 10,22 , and 32 ? If so, what kind of triangle is it? [竑] yes, acute yes, right yes, obtuse no Submit