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Problem 2901

Contidance interval tor the population standard deviation 25
Suppose that the lifetimes of the AAA batteries of a certain manufacturer are approximately normally distributed. The manufacturer wants to estimate the standard deviation of the lifetime of these batteries. A random sample of 15 AAA batteries produced by this manufacturer lasted a mean of 9.9 hours with a standard deviation of 2.1 hours. Find a $95 \%$ confidence interval for the population standard deviation of the lifetimes of AAA batteries produced by the manufacturer. Then give its lower limit and upper limit.
Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places, (If necessary, consult a list of formulas.)
Lower limit: $\square$ Upper limit: $\square$

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Problem 2902

Write the number 7,300 in scientific notation.
Answer Attempt 1 out of 2
Answer: $\square$ $\times 10$ $\square$ Submit Answer

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Problem 2903

6. [0/1 Points]
DETAILS MY NOTES BBUNDERSTAT12HS 6.3.011.MI. PREVIOUS AN
Assume that $x$ has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) $\mu=28 ; \sigma=3.8$ $P(x \geq 30)=$ $\square$ Need Help? Read It Watch it Master It

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Problem 2904

Fiona enlarges a parallelogram that has a perimeter of 17 meters.
Not drawn to scale What is the perimeter of the enlarged parallelogram? 30 meters 73.5 meters 102 meters 105 meters

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Problem 2905

1. Gregory earned $\$ 84$ lawns. If he charg dollars mowing how many bwns ges $\$ 7$ per bawn, how many lawns did he mow?

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Problem 2906

Consider the indefinite integral $\int \frac{x^{6}}{\left(x^{7}-2\right)^{7}} d x$ : This can be transformed into a basic integral by letting $u=\left(x^{7}-2\right) \vee 0^{\infty}$ and $d u=7 x^{6} \quad \vee 0^{\infty} d x$
Performing the substitution yields the integral $\int \square d u$
Performing the integration yields the final answer (in terms of $x$ , not $u$ ). $\int \frac{x^{6}}{\left(x^{7}-2\right)^{7}} d x=$

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Problem 2907

(6) The mass of a cake is 1.216 kilograms.
Gabrielle gives 456 grams of cake to her neighbour and divides the rest of the cake into five equal pieces. What is the mass of each piece of cake? ? 9

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Problem 2908

us bookmans Launch Meeting-2.
01 MATHEMATICS 6 atio Reasoning: Convert Metric Units
CL for School: Done Problem solving Done 4 -9: virtual Nerd ${ }^{\text {th }:}$ What Done are the Merric Units of... in Progress 2 5-9: Lesson Quiz
7.300 meters 14.6 meters 14,600 meters
0.0146 meters Review progress Question 015 4 Back 2

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Problem 2909

Malik considers the enlargement of the trapezoid.
Not drawn to scale
What is the correct cross product that he should use to solve for the missing dimension? $(10)(25)=18 x$ $(10)(18)=25 x$ $(18)(25)=10 x$ $(18)(10)=18 x$

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Problem 2910

What value of $z$ divides the standard normal distribution so that half the area is on one side and half is on the other? Round your answer to two decimal places.

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Problem 2911

5. Max decided to ski to a friend's cabin. He skied 6.8 km in the direction $\mathrm{N} 35^{\circ} \mathrm{E}$ . He rested, then skied $\mathrm{S} 30^{\circ} \mathrm{E}$ and arrived at the cabin. The cabin is 10.2 km from his home, as the crow flies. Determine, to the nearest tenth of a kilometre, the distance he travelled on the second leg of his trip.

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Problem 2912

What is the perimeter of the reduced triangle, in inches? 15 21 36 48

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Problem 2913

etting Chrome as default Set as default Module Knowlsdge Chack Question 5
Suppose that $55 \%$ of all babies born in a particular hospital are boys. If 6 babies born in the hospital are randomly selected, what is the probability that fewer than 2 of them are boys?
Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.) $\square$

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Problem 2914

Pre-Test Active 1 2 3 4 5 6 7 a 9 10
Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. The original photo was 800 pixels wide by 600 pixels high. The new photo will be 1,260 pixels wide. What will the new height be? 460 pixels 945 pixels 1,680 pixels 1,860 pixels

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Problem 2915

5. The odds against a new car needing major repairs in the next few years are 24 to 1. What is the probability that the car will need major repairs in the next few years?

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Problem 2916

Solve the problem. 11) $7^{2}$ 12) $6^{3}$ 13) $2^{2}$ 14) $4^{2}$ 15) $4^{3}$ 16) What is 7 cubed? 17) What is 8 to the power of two? 18) What is 5 cubed? 19) What is 6 cubed? 20) What is 4 to the power of three?

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Problem 2917

Module Knowledge Cheals Question 9
Pilots who cannot maintain regular sleep hours due to their work schedule often suffer from insomnia. A random sample of 26 commercial airline pilots was taken, and the pilots in the sample reported the time at which they went to sleep on their most recent working day. These times measured in hours after midnight. (Thus, if the pilot reported going to sleep at $11 \mathrm{p} . \mathrm{m}$ ., the measurement was -1 .) The sample mean was 0.5 hours, and the standard deviation was 1.9 hours. Assume that the sample is drawn from a normally distributed population. Find a $90 \%$ confidence interval for the population standard deviation, that is, the standard deviation of the time (hours after midnight) at which pilots go to sleep on their work days. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list. of formulas.)
Lower limit: $\square$ Upper limit: $\square$

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Problem 2918

Module Knowlsdge Chsck Question 9 Sophi
Pilots who cannot maintain regular sleep hours due to their work schedule often suffer from insominia. A random sample of 26 commercial airline pilots was taken, and the pilots in the sample reported the time at which they went to sleep on their most recent working day. These times measured in hours after midnight. (Thus, if the pilot reported going to sleep at 11 p.m., the measurement was -1 .) The sample mean was 0.5 hours, and the standard deviation was 19 hours. Assume that the sample is drawn from a normally distributed population. Find a $90 \%$ confidence interval for the population standard deviation, that is, the standard deviation of the time (hours after midnight) at which pilots go to sleep on their work days. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) $\square$

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Problem 2919

Find the value or values of $c$ that satisfy the equation $\frac{f(b)-f(a)}{b-a}=f^{\prime}(c)$ in the conclus of the Mean Value Theorem for the function and interval. $f(x)=x+\frac{12}{x},[3,4]$ A) $-2 \sqrt{3}, 2 \sqrt{3}$ B) 3,4 C) $2 \sqrt{3}$ D) $0,2 \sqrt{3}$

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Problem 2920

$\begin{array}{l} 4.74-30 c=-43-82 c-4.26 \\ c= \end{array}$
Submit

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Problem 2921

Find the indefinite integral. Check your result by differentiating. (Use $C$ for the constant of integration.) $\int \frac{6 x}{\left(7+x^{2}\right)^{3}} d x$
Need Help? $\square$ Read It $\square$

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Problem 2922

Import favorites Google Clever | Portal ALEKS - Magdalena Frelek - Learn https://www-awy.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNsIkr7j8P3jH-IQsB5p57mqwiHv-fgOzocXR7H3Quபsrn-hHq0... Percents Finding the sale price without a calculator given the original price and... $0 / 5$ Magdalena Español
An item is regularly priced at $\$ 40$ . Hong bought it at a discount of $20 \%$ off the regular price. How much did Hong pay? \\square$

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Problem 2923

In 1 and 2, answer to solve a two-step problem.
Fourteen friends went to the county fair. All except 6 of them bought a hot dog. Each hot dog costs $\$ 3$ . How much did the friends spend on hot dogs?
1. Tell what you know. Then explain what you need to find first to solve the problem.
2. Tell which operations you will use. Then solve the problem.

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Problem 2924

The Sterns initially drove some miles before they made a plan of driving set miles each day. Days 3,4 , and 5 are displayed on the graph.
Determine the initial amount of miles the Sterns drove before making a plan. $\square$ miles

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Problem 2925

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 16 randomly selected pens yields no more than two defective pens. ■ USE SALT (a) Find the probability that this shipment is accepted if $5 \%$ of the total shipment is defective. (Round your answer to three decimal places.) 0.953 (b) Find the probability that this shipment is not accepted if $15 \%$ of the total shipment is defective. (Round your answer to three decimal places.) 0.220

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Problem 2926

(3) A 25-foot ladder is leaned against a wall. If the base of the ladder is 7 ft from the wall, how high up the wall will the ladder reach?
The mast of a sailing ship is 20 ft tall. A rope is stretched 26 ft from the top of the mast to a cleat on the deck of the ship. How far is the cleat from the base of the mast?
Each side of an equilateral triangle measures 12 cm . Find the height, $\boldsymbol{h}$ , of the triangle. $\square$ $\square$ $\square$ $\square$ - $\square$ $\square$ Two jets left an airport at the same time. One traveled east at 300 miles per hour. The other traveled south at 400 miles per hour. How far apart were the jets at the end of an hour? $\square$ 85.4
12 9.8
24 500 26 10.4
520 25.5 9.4 17.8 16.6 87.1 9.7 18.5 : 8.3

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Problem 2927

The circle graph shows how the annual budget for a company is divided by department. If the total annual budget is $\$ 5,000,000$ , what amount is budgeted for Sales? Español $\square$ 6 Malwarebytes Improve your protection! Trusted Advisor has a recommendation or two that can boost your protection. Manage settings Check Trusted Advisor Explelanation Check - 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use। Privacy Center I Accessiblity

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Problem 2928

Finding simple interest winout a calcuiatul Español
Lucy deposits $\$ 800$ into an account that pays simple interest at a rate of $5 \%$ per year. How much interest will she be paid in the first 2 years? s! $\square$ Explanation Check O 2024 McGraw Hill LLC. All Rights Resenved. Terms of Use | Privacy Center｜Accessibility

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Problem 2929

c. $\tan ^{-1}(\sqrt{3})$

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Problem 2930

According to Harper's Index, $60 \%$ of all federal inmates are serving time for drug dealing. A random sample of 15 federal inmates is selected. USE SALT (a) What is the probability that 13 or more are serving time for drug dealing? (Round your answer to three decimal places.) (b) What is the probability that 2 or fewer are serving time for drug dealing? (Round your answer to three decimal places.) (c) What is the expected number of inmates serving time for drug dealing?

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Problem 2931

Estimate a $15 \%$ tip on a dinner bill of $\$ 53.16$ by first rounding the bill amount to the nearest ten dollars. Estimated tip: \ $[$ \square$

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Problem 2932

Use algebra steps to find the fraction exactly equal to the infinitely repeating decimal 7.4878787 .... Write your answer as a fraction of whole numbers $a$ and $b$ in the form $a / b$ . Type the product of $a$ and $b$ . (You do NOT need to divide $a$ and $b$ by a common factor to simplify the fraction prior to finding the product of a and b.)

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Problem 2933

Rapidldentity AAPC CPT Coding for Begi... Measurement Review U.S. Customary unit conversion with mixed number values: One-step...
Milan bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer. $\square$

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Problem 2934

Estimate a $15 \%$ tip on a dinner bill of $\$ 43.15$ by first rounding the bill amount to the nearest ten dollars.
Estimated tip: $\$ \square$ $\square$

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Problem 2935

What is the approximate volume of the cylinder? Use 3.14 for $\pi$ . $904.32^{2} \mathrm{~cm}^{3}$ $226.08 \mathrm{~cm}^{3}$ $150.72 \mathrm{~cm}^{3}$ $301.44 \mathrm{~cm}^{3}$

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Problem 2936

010 (part 1 of 2 ) 10.0 points A crate is lifted vertically 1.5 m and then held at rest. The crate has weight 100 N (i.e., it is supported by an upward force of 100 N ).
How much work was done in lifting the crate from the ground to its final position?
1. 150 J
2. None of these
3. A bit less than 150 J
4. No work was done.
5. More than 150 J

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Problem 2937

012 (part 1 of 2) $\mathbf{1 0 . 0}$ points A 17.2 kg block is dragged over a rough, horizontal surface by a constant force of 89.6 N acting at an angle of $27.8^{\circ}$ above the horizontal. The block is displaced 33.7 m , and the coefficient of kinetic friction is 0.234 . $\mu=0.234$
Find the work done by the 89.6 N force. The acceleration of gravity is $9.8 \mathrm{~m} / \mathrm{s}^{2}$ .
Answer in units of J. 013 (part 2 of 2) 10.0 points Find the magnitude of the work done by the force of friction.
Answer in units of J.

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Problem 2938

Find the area of this parallelogram. Be sure to include the correct unit in your answer. Espaniol m $\mathrm{m}^{2}$ $\mathrm{m}^{3}$ ? $\square$

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Problem 2939

Area of a parallelogram
Find the area of this parallelogram. Be sure to include the correct unit in your answer. $\square$ Español -

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Problem 2940

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sin ^{2} x-2 \sin x-3=0$
Write your answer in radians in terms of $\pi$ . If there is mort than one solution, separate them with commas.

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Problem 2941

$\times 15=315$

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Problem 2942

$4 \sin \theta+3 \sqrt{3}=\sqrt{3}$

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Problem 2943

Complete the table using the rule. $y=x^{2}$ \begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 1 & 2 & 3 & 4 & 10 \\ \hline $y$ & & & & & \\ \hline \end{tabular}

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Problem 2944

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sin 2 x+\cos x=0$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with com $x=$ $\square$
$\pi$

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Problem 2945

Find all the roots of the polynomial: $y=-x^{5}+11 x^{3}-6 x^{2}-28 x+24$

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Problem 2946

What is the slope of the line that passes through the points $(5,-6)$ and $(9,-6)$ ? Write your answer in simplest form.

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Problem 2947

Find the indefinite integral $\int \frac{x}{x^{2}+6} d x$ . (Notice the $+C$ is already provided.) $+C$

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Problem 2948

Attempt 1: 10 attempts remaining.
You have $\$ 5000$ . The best interest rate you can find is $1.5 \%$ compounded quarterly. For how long should you deposit the money in order to have $\$ 9400$ ? $\square$ years
Submit answer Next item

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Problem 2949

2. It takes Juwan exactly 35 minutes by car to get to his grandmother's. The nearest parking area is a 4-minute walk from her apartment. One week, he realized that he spent 5 hours and 12 minutes traveling to her apartment and then back home. How many round trips did he make to visit his grandmother?

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Problem 2950

Points: 0 of 1
Find the probability of $z$ occurring in the indicated region of the standard normal distribution. Click here to view page 1 of the standard normal table Click here to view page 2 of the standard normal table. $P(0<z<197)=\square$ (Round to four decimal places as needed.)

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Problem 2951

Points: 0 of 1
Find the zeros of the polynomial function and state the multiplicity of each. $f(x)=x^{4}-11 x^{2}+18$
The smallest zero is $\square$ with multiplicity $\square$ 1. . (Type an exact answer, using radicals as needed.) The smaller middle zero is $\square$ with multiplicity $\square$ $\square$ .

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Problem 2952

11) An 800 kg truck is driving down the road. The truck now goes up a 7.5 -meter hill and is still going 8.0 $\mathrm{m} / \mathrm{s}$ on top of the hill. a) Calculate the total Energy the truck has on top of the hill. b) Calculate how fast the Truck was going at the bottom of the hill.

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Problem 2953

Points: 0 of 1
Find the zeros of the polynomial function and state the multiplicity of each. $f(x)=x^{4}-11 x^{2}+18$
The smallest zero is -3 with multiplicity 1. (Type an exact answer, using radicals as needed.) The smaller middle zero is $-\sqrt{2}$ with multiplicity 1. (Type an exact answer, using radicals as needed.) The larger middle zero is $\square$ with multiplicity $\square$ . (Type an exact answer, using radicals as needed.)

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Problem 2954

Question Watch Video Show Exam
Write a degree 3 Taylor Polynomial for $f(x)=-4 e^{x}$ centered at $x=-3$ . Let $f(x)=-4 e^{x}$ . Find the function value and first 3 derivatives of $f(x)$ at $x=-3$ $f(x)=$ $\square$ $f(-3)=$ $\square$ $f^{\prime}(x)=$ $\square$ $f^{\prime}(-3)=$ $\square$ $f^{\prime \prime}(x)=$ $\square$ $f^{\prime \prime}(-3)=$ $\square$ $f^{\prime \prime \prime}(x)=$ $\square$ $f^{\prime \prime \prime}(-3)=$ $\square$ thy

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Problem 2955

If $y=x^{2} \sin 2 x$ , then $\frac{d y}{d x}=$ (A) $2 x \cos 2 x$ (B) $4 x \cos 2 x$ (C) $2 x(\sin 2 x+\cos 2 x)$ (D) $2 x(\sin 2 x-x \cos 2 x)$ (E) $2 x(\sin 2 x+x \cos 2 x)$

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Problem 2956

Watch the video and then solve the problem given below. Click here to watch the video. Find the zeros of the function, and their multiplicities. $f(x)=x^{3}-5 x^{2}-x+5$
The zeros of the function are $x=$ $\square$ (Use a comma to separate answers as needed.)

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Problem 2957

Watch the video and then solve the problem given below. Click here to watch the video. Find the zeros of the function, and their multiplicities. $f(x)=x^{3}-5 x^{2}-x+5$
The zeros of the function are $x=1,5,-1$ . (Use a comma to separate answers as needed.) Each zero has multiplicity $\square$

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Problem 2958

Find the root of each equation. (hessan $3=2$
9. $x+8=0$
10. $4 x-24=0$
11. $18+8 x=0$
12. $\frac{3}{5} x-\frac{1}{2}=0$

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Problem 2959

Find all solutions of the equation in the interval $[0,2 \pi)$ . $4 \sin ^{2} x=5+4 \cos x$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with co

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Problem 2960

Question Watch Video Show Examples
Evaluate the left hand side to find the value of $a$ in the equation in simplest form. $x^{\frac{6}{5}} x=x^{a}$
Answer Attempt 2 out of 4 $\square$ Submit Answer

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Problem 2961

Evaluate the left hand side to find the value of $a$ in the equation in $x^{\frac{4}{5}} x^{\frac{5}{4}}=x^{a}$
Answer Attempt 1 out of 4

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Problem 2962

Need Help? Read It Watch it Submit Answer 13. [4/5 Points] DETAILS MY NOTES BBUNDERSTAT12HS 5.R.019. PREVIOUS
An experiment consists of tossing an unfair coin. ( $40 \%$ chance of landing on heads) a specified number of times and recording the outcomes. (a) What is the pabability that the first head will occur on the second trial? (Use 4 decimal places.)

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Problem 2963

b) Suppose a financial institution has assets with market value of GH\&105 million liabilities with market value of $\mathrm{GH} \phi 98$ million. Suppose also that the institution has contingent assets of GH\& 20 million and contingent liabilities of GH\& 17 million. What is the financial institution's true networth position?

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Problem 2964

changed each time it is given. Let $n=1,2,3, \ldots$ represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.) (b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.) Need Help? Read it Submit Answer
15. [-/1 Points] DETAILS MY NOTES BBUNDERSTAT12HS 6.R.001. ASK YOUR TEACHER

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Problem 2965

What is the slope of the line that passes through the points $(2,-4)$ and $(5,2)$ ? Write your answer in simplest form.

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Problem 2966

Question 4
Compute $3 \mathrm{~A}-4 \mathrm{I}_{2}$ using the following matrix, or state that the indicted operation is undefined. $A=\left[\begin{array}{cc} 10 & 8 \\ -5 & -9 \end{array}\right]$ $3 A-4 I_{2}$ is undefined $3 A-4 I_{2}=\left[\begin{array}{cc}26 & 20 \\ -19 & -31\end{array}\right]$ $3 A-4 I_{2}=\left[\begin{array}{cc}26 & 24 \\ -15 & -31\end{array}\right]$ $3 A-4 I_{2}=\left[\begin{array}{cc}27 & 24 \\ -15 & -30\end{array}\right]$

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Problem 2967

Find the slope of the line graphed below.

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Problem 2968

Evaluate. $\int \frac{e^{7 x}}{\left(e^{7 x}+7\right)^{4}} d x=$ $\square$

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Problem 2969

024 (part 1 of 3 ) 10.0 points A 4.0 kg block is pushed 2.0 m at a constant velocity up a vertical wall by a constant force applied at an angle of $26.0^{\circ}$ with the horizontal, as shown in the figure.
The acceleration of gravity is $9.81 \mathrm{~m} / \mathrm{s}^{2}$ .
Drawing not to scale. If the coefficient of kinetic friction between the block and the wall is 0.20 , find a) the work done by the force on the block. Answer in units of J.
025 (part 2 of 3 ) 10.0 points b) the work done by gravity on the block. Answer in units of J .
026 (part 3 of 3 ) 10.0 points c) the magnitude of the normal force between the block and the wall.
Answer in units of N .

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Problem 2970

Attempt 1: 10 attempts remaining. A city had a population of 1,826 at the begining of 1942 and has been growing at $7.9 \%$ per year since then. (a) Find the size of the city at the beginning of 1996.
Answer: (b) During what year will the population of the city reach $5,935,134$ ?
Answer: $\square$
Submit answer Next item

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Problem 2971

Iditional Problems:
1. The loudness level of a heavy snore is 69 dB . The loudness level of a conversation is 60 dB . The loudness level of a whisper is 30 dB . a) How many times as loud as a conversation is a heavy snore? b) How many times as loud as a whisper is a conversation?
2. Most portable music players can produce sounds up to 120 dB . Any sound above 90 dB may cause some hearing loss if the exposure is prolonged. To be safe, experts recommend you keep your MP3 player volume set no higher than $60 \%$ of the maximum. a) Assuming your MP3 player can produce sound as loud as 120 dB , how many times as loud is it at maximum volume than at the recommrended setting? b) How many times as loud is a setting of $75 \%$ of the maximum than $60 \%$ ?

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Problem 2972

024 (part 1 of 3 ) 10.0 polnts A 4.0 kg block is pushed 2.0 m at a constant velocity up a vertical wall by a constant force applied at an angle of $26.0^{\circ}$ with the horizontal, as shown in the figure.
The acceleration of gravity is $9.81 \mathrm{~m} / \mathrm{s}^{2}$ .
Drawing not to scale. If the coefficient of kinetic friction between the block and the wall is 0.20 , find a) the work done by the force on the block. Answer in units of J.
025 (part 2 of 3 ) 10.0 points b) the work done by gravity on the block. Answer in units of J.
026 (part 3 of 3 ) 10.0 points c) the magnitude of the normal force between the block and the wall.
Answer in units of N .

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Problem 2973

Find all solutions to the equation. $2 \sin \left(\frac{1}{2} x\right)-\sqrt{3}=0$
Write your answer in radians in terms of $\pi$ , and use the "or" button as necessary. Example: $x=\frac{\pi}{5}+2 k \pi, k \in \mathbb{Z}$ or $x=\frac{\pi}{7}+k \pi, k \in \mathbb{Z}$ Help with this notation

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Problem 2974

41. a. $e^{-x}=8$ b. $10^{-x}=125$

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Problem 2975

43. a. $10^{5-3 x}=0.041$ b. $10^{2 x-1}=515$

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Problem 2976

Find all solutions to the equation. $\cos 3 x+1=0$
Write your answer in radians in terms of $\pi$ , and use the "or" button as necessary.
Example: $x=\frac{\pi}{5}+2 k \pi, k \in \mathbb{Z}$ or $x=\frac{\pi}{7}+k \pi, k \in \mathbb{Z}$ Help with this notation

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Problem 2977

Find all solutions to the equation. $\tan \left(\frac{1}{2} x\right)-\sqrt{3}=0$
Write your answer in radians in terms of $\pi$ , and use the "or" button as necess
Example: $x=\frac{\pi}{5}+2 k \pi, k \in \mathbb{Z}$ or $x=\frac{\pi}{7}+k \pi, k \in \mathbb{Z}$ Help with this notation

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Problem 2978

$\begin{array}{r}450 \div 0.1= \\ 450 \div 0.01= \\ 450 \div 0.001=\end{array}$

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Problem 2979

Find the quotient of $\frac{1}{4} \div \frac{3}{8}$ in simplest form. $\frac{2}{3}$ $\frac{1}{4}$ $\frac{3}{32}$ $\frac{3}{4}$

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Problem 2980

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle
1. Set up the proportion:
2. Use cross product: $\frac{9}{6}=\frac{x}{16}$
3. Simplify: $9(16)=6 x$
4. Divide: $144=$ $\square$ $\square$ $=x$

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Problem 2981

Question 24, *7.1.23 HW Score: $85.71 \%, 24$ of 28 points Points: 0 of 1 Save
Points $A$ and $B$ are on opposite sides of a lunar crater. Point $C$ is 56 meters from point $A$ . The measure of $\angle B A C$ is $113^{\circ}$ and the measure of $\angle A C B$ is $42^{\circ}$ . What is the width of the crater?
The width of the crater is $\square$ meters. (Simplify your answer. Type an integer or a decimal. Round to the nearest hundredth if needed.)

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Problem 2982

35. a. $\frac{1}{2} x-2=2$ b. $\frac{1}{2} \log x-\log 100=2$

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Problem 2983

Solve the quadratic equation $3x^{2} + 2x - 10 = 0$ using the quadratic formula.

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Problem 2984

Solve for $y$ . $3 y^{2}+4=-7 y$
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution." $y=$ $\square$

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Problem 2985

The radius of a cylindrical construction pipe is 3 ft . If the pipe is 34 ft long, what is its volume? Use the value 3.14 for $\pi$ , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. $\square$

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Problem 2986

43. $\log (\log x)=1$

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Problem 2987

5. Sara was helping her father assemble a slide for the local park. He decides to reinforce the slide with an extra support beam. How long should the extra support beam be?

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Problem 2988

Solve. If there is more than one solution, separate them with a comma. $8+4|3 x+3|=-8$

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Problem 2989

p/student/3440461/25280000/44981e4a638756ec9b307cc86ca08ef3
L'Hopital's Rule Score: 0/1 Penalty: 0.25 off
Question Watch Video
Evaluate $\lim _{x \rightarrow 3} \frac{4 \cos (3 x-9)+2 x}{5 x^{2}+5}$ and write your answer in simplest form.
Answer Attempt 1 out of 2 $\square$ Submit Answer DNE

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Problem 2990

Fill in the table using this function rule. $y=-4 x-2$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline \end{tabular}

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Problem 2991

A grain silo has a cylindrical shape. Its radius is 8.5 ft , and its height is 39 ft . What is the volume of the silo? Use the value 3.14 for $\pi$ , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. $\square$ ft $\mathrm{ft}^{2}$ $\mathrm{ft}^{3}$

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Problem 2992

Find all solutions of the equation in the interval $[0,2 \pi)$ . $2 \sin 2 x+\sqrt{3}=0$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with commas. $x=$

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Problem 2993

Find the surface area of this cube. Be sure to include the correct unit in your answer. cm cm ${ }^{2}$ $\mathrm{cm}^{3}$

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Problem 2994

A pole leans away from the sun at an angle of $9^{\circ}$ to the vertical. When the elevation of the sun is $52^{\circ}$ , the pole casts a shadow 44 ft long on level ground. How long is the pole?
The pole is $\square$ ft long. (Round to the nearest foot as needed.)

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Problem 2995

Isabel drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles? gallons

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Problem 2996

5. For $\left(2 x^{3}+5 x^{2}-k x+9\right) \div(x+3)$ , determine the value of $k$ if the remainder is 6 .

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Problem 2997

Suppose that $\tan \theta=-\frac{15}{8}$ and $\frac{\pi}{2}<\theta<\pi$ . Find the exact values of $\sin \frac{\theta}{2}$ and $\tan \frac{\theta}{2}$ . $\sin \frac{\theta}{2}=$ $\square$ $\tan \frac{\theta}{2}=$ $\square$

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Problem 2998

If $f(x)=5 x^{2}+8$ and $g(x)=7 x+a$ , find a so that the graph of $f \circ g$ crosses the $y$ -axis at 53 .
What is the value of a? $\mathrm{a}=$ $\square$ (Use reduced fractions or integers. Use commas to separate values.)

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Problem 2999

8. Larry buys a tent that is on sale for $25 \%$ off the original price. The original price is $\$ 80$ more than the sale price. What is the original price of the tent?

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Problem 3000

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sqrt{1+\cot x}=\csc x$
Write your answer(s) in radians in terms of $\pi$ . If there is more than one solution, separate them with commas. $x=$ $\square$

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1 ...27 28 29 30 31 32 33 ...308

Solve

Problem 2901

Problem 2902

Write the number 7,300 in scientific notation.Answer Attempt 1 out of 2Answer: □\square□ ×10\times 10×10 □\square□ Submit Answer

Problem 2903

Problem 2904

Fiona enlarges a parallelogram that has a perimeter of 17 meters.Not drawn to scale What is the perimeter of the enlarged parallelogram? 30 meters 73.5 meters 102 meters 105 meters

Problem 2905

1. Gregory earned $84\$ 84$84 lawns. If he charg dollars mowing how many bwns ges $7\$ 7$7 per bawn, how many lawns did he mow?

Problem 2906

Problem 2907

(6) The mass of a cake is 1.216 kilograms.Gabrielle gives 456 grams of cake to her neighbour and divides the rest of the cake into five equal pieces. What is the mass of each piece of cake? ? 9

Problem 2908

Problem 2909

Problem 2910

What value of zzz divides the standard normal distribution so that half the area is on one side and half is on the other? Round your answer to two decimal places.

Problem 2911

Problem 2912

What is the perimeter of the reduced triangle, in inches? 15 21 36 48

Problem 2913

Problem 2914

Problem 2915

5. The odds against a new car needing major repairs in the next few years are 24 to 1. What is the probability that the car will need major repairs in the next few years?

Problem 2916

Solve the problem. 11) 727^{2}72 12) 636^{3}63 13) 222^{2}22 14) 424^{2}42 15) 434^{3}43 16) What is 7 cubed? 17) What is 8 to the power of two? 18) What is 5 cubed? 19) What is 6 cubed? 20) What is 4 to the power of three?

Problem 2917

Problem 2918

Problem 2919

Problem 2920

4.74−30c=−43−82c−4.26c=\begin{array}{l} 4.74-30 c=-43-82 c-4.26 \\ c= \end{array}4.74−30c=−43−82c−4.26c=​Submit

Problem 2921

Find the indefinite integral. Check your result by differentiating. (Use CCC for the constant of integration.) ∫6x(7+x2)3dx\int \frac{6 x}{\left(7+x^{2}\right)^{3}} d x∫(7+x2)36x​dxNeed Help? □\square□ Read It □\square□

Problem 2922

Problem 2923

Problem 2924

The Sterns initially drove some miles before they made a plan of driving set miles each day. Days 3,4 , and 5 are displayed on the graph.Determine the initial amount of miles the Sterns drove before making a plan. □\square□ miles

Problem 2925

Problem 2926

Problem 2927

Problem 2928

Problem 2929

c. tan⁡−1(3)\tan ^{-1}(\sqrt{3})tan−1(3​)

Problem 2930

Problem 2931

Estimate a 15%15 \%15% tip on a dinner bill of $53.16\$ 53.16$53.16 by first rounding the bill amount to the nearest ten dollars. Estimated tip: \[ [ [\square$

Problem 2932

Problem 2933

Problem 2934

Estimate a 15%15 \%15% tip on a dinner bill of $43.15\$ 43.15$43.15 by first rounding the bill amount to the nearest ten dollars.Estimated tip: $□\$ \square$□ □\square□

Problem 2935

What is the approximate volume of the cylinder? Use 3.14 for π\piπ. 904.322 cm3904.32^{2} \mathrm{~cm}^{3}904.322 cm3 226.08 cm3226.08 \mathrm{~cm}^{3}226.08 cm3 150.72 cm3150.72 \mathrm{~cm}^{3}150.72 cm3 301.44 cm3301.44 \mathrm{~cm}^{3}301.44 cm3

Problem 2936

Problem 2937

Problem 2938

Find the area of this parallelogram. Be sure to include the correct unit in your answer. Espaniol m m2\mathrm{m}^{2}m2 m3\mathrm{m}^{3}m3 ? □\square□

Problem 2939

Area of a parallelogramFind the area of this parallelogram. Be sure to include the correct unit in your answer. □\square□ Español -

Problem 2940

Find all solutions of the equation in the interval [0,2π)[0,2 \pi)[0,2π). sin⁡2x−2sin⁡x−3=0\sin ^{2} x-2 \sin x-3=0sin2x−2sinx−3=0Write your answer in radians in terms of π\piπ. If there is mort than one solution, separate them with commas.

Problem 2941

×15=315\times 15=315×15=315

Problem 2942

4sin⁡θ+33=34 \sin \theta+3 \sqrt{3}=\sqrt{3}4sinθ+33​=3​

Problem 2943

Complete the table using the rule. y=x2y=x^{2}y=x2 \begin{tabular}{|l|l|l|l|l|l|} \hlinexxx & 1 & 2 & 3 & 4 & 10 \\ \hlineyyy & & & & & \\ \hline \end{tabular}

Problem 2944

Find all solutions of the equation in the interval [0,2π)[0,2 \pi)[0,2π). sin⁡2x+cos⁡x=0\sin 2 x+\cos x=0sin2x+cosx=0Write your answer in radians in terms of π\piπ. If there is more than one solution, separate them with com x=x=x= □\square□π\piπ

Problem 2945

Find all the roots of the polynomial: y=−x5+11x3−6x2−28x+24y=-x^{5}+11 x^{3}-6 x^{2}-28 x+24y=−x5+11x3−6x2−28x+24

Problem 2946

What is the slope of the line that passes through the points (5,−6)(5,-6)(5,−6) and (9,−6)(9,-6)(9,−6) ? Write your answer in simplest form.

Problem 2947

Find the indefinite integral ∫xx2+6dx\int \frac{x}{x^{2}+6} d x∫x2+6x​dx. (Notice the +C+C+C is already provided.) +C+C+C

Problem 2948

Attempt 1: 10 attempts remaining.You have $5000\$ 5000$5000. The best interest rate you can find is 1.5%1.5 \%1.5% compounded quarterly. For how long should you deposit the money in order to have $9400\$ 9400$9400 ? □\square□ yearsSubmit answer Next item

Problem 2949

Problem 2950

Problem 2951

Problem 2952

11) An 800 kg truck is driving down the road. The truck now goes up a 7.5 -meter hill and is still going 8.0 m/s\mathrm{m} / \mathrm{s}m/s on top of the hill. a) Calculate the total Energy the truck has on top of the hill. b) Calculate how fast the Truck was going at the bottom of the hill.

Write the number 7,300 in scientific notation.
Answer Attempt 1 out of 2
Answer: $\square$ $\times 10$ $\square$ Submit Answer

Fiona enlarges a parallelogram that has a perimeter of 17 meters.
Not drawn to scale What is the perimeter of the enlarged parallelogram? 30 meters 73.5 meters 102 meters 105 meters

1. Gregory earned $\$ 84$ lawns. If he charg dollars mowing how many bwns ges $\$ 7$ per bawn, how many lawns did he mow?

(6) The mass of a cake is 1.216 kilograms.
Gabrielle gives 456 grams of cake to her neighbour and divides the rest of the cake into five equal pieces. What is the mass of each piece of cake? ? 9

What value of $z$ divides the standard normal distribution so that half the area is on one side and half is on the other? Round your answer to two decimal places.

Solve the problem. 11) $7^{2}$ 12) $6^{3}$ 13) $2^{2}$ 14) $4^{2}$ 15) $4^{3}$ 16) What is 7 cubed? 17) What is 8 to the power of two? 18) What is 5 cubed? 19) What is 6 cubed? 20) What is 4 to the power of three?

$\begin{array}{l} 4.74-30 c=-43-82 c-4.26 \\ c= \end{array}$
Submit

Find the indefinite integral. Check your result by differentiating. (Use $C$ for the constant of integration.) $\int \frac{6 x}{\left(7+x^{2}\right)^{3}} d x$
Need Help? $\square$ Read It $\square$

The Sterns initially drove some miles before they made a plan of driving set miles each day. Days 3,4 , and 5 are displayed on the graph.
Determine the initial amount of miles the Sterns drove before making a plan. $\square$ miles

c. $\tan ^{-1}(\sqrt{3})$

Estimate a $15 \%$ tip on a dinner bill of $\$ 53.16$ by first rounding the bill amount to the nearest ten dollars. Estimated tip: \ $[$ \square$

Estimate a $15 \%$ tip on a dinner bill of $\$ 43.15$ by first rounding the bill amount to the nearest ten dollars.
Estimated tip: $\$ \square$ $\square$

What is the approximate volume of the cylinder? Use 3.14 for $\pi$ . $904.32^{2} \mathrm{~cm}^{3}$ $226.08 \mathrm{~cm}^{3}$ $150.72 \mathrm{~cm}^{3}$ $301.44 \mathrm{~cm}^{3}$

Find the area of this parallelogram. Be sure to include the correct unit in your answer. Espaniol m $\mathrm{m}^{2}$ $\mathrm{m}^{3}$ ? $\square$

Area of a parallelogram
Find the area of this parallelogram. Be sure to include the correct unit in your answer. $\square$ Español -

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sin ^{2} x-2 \sin x-3=0$
Write your answer in radians in terms of $\pi$ . If there is mort than one solution, separate them with commas.

$\times 15=315$

$4 \sin \theta+3 \sqrt{3}=\sqrt{3}$

Complete the table using the rule. $y=x^{2}$ \begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 1 & 2 & 3 & 4 & 10 \\ \hline $y$ & & & & & \\ \hline \end{tabular}

Find all solutions of the equation in the interval $[0,2 \pi)$ . $\sin 2 x+\cos x=0$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with com $x=$ $\square$
$\pi$

Find all the roots of the polynomial: $y=-x^{5}+11 x^{3}-6 x^{2}-28 x+24$

What is the slope of the line that passes through the points $(5,-6)$ and $(9,-6)$ ? Write your answer in simplest form.

Find the indefinite integral $\int \frac{x}{x^{2}+6} d x$ . (Notice the $+C$ is already provided.) $+C$

Attempt 1: 10 attempts remaining.
You have $\$ 5000$ . The best interest rate you can find is $1.5 \%$ compounded quarterly. For how long should you deposit the money in order to have $\$ 9400$ ? $\square$ years
Submit answer Next item

11) An 800 kg truck is driving down the road. The truck now goes up a 7.5 -meter hill and is still going 8.0 $\mathrm{m} / \mathrm{s}$ on top of the hill. a) Calculate the total Energy the truck has on top of the hill. b) Calculate how fast the Truck was going at the bottom of the hill.

Find the root of each equation. (hessan $3=2$
9. $x+8=0$
10. $4 x-24=0$
11. $18+8 x=0$
12. $\frac{3}{5} x-\frac{1}{2}=0$

Find all solutions of the equation in the interval $[0,2 \pi)$ . $4 \sin ^{2} x=5+4 \cos x$
Write your answer in radians in terms of $\pi$ . If there is more than one solution, separate them with co

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Evaluate the left hand side to find the value of $a$ in the equation in simplest form. $x^{\frac{6}{5}} x=x^{a}$
Answer Attempt 2 out of 4 $\square$ Submit Answer

Evaluate the left hand side to find the value of $a$ in the equation in $x^{\frac{4}{5}} x^{\frac{5}{4}}=x^{a}$
Answer Attempt 1 out of 4

What is the slope of the line that passes through the points $(2,-4)$ and $(5,2)$ ? Write your answer in simplest form.

Evaluate. $\int \frac{e^{7 x}}{\left(e^{7 x}+7\right)^{4}} d x=$ $\square$

41. a. $e^{-x}=8$ b. $10^{-x}=125$