Word Problem

Problem 2201

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 2202

2. Sophia tests 25 pens. Five of the pens do not write the first time. Sophia says the experimental probability that a pen will not write the first time is 0.2 . Is Sophia correct? Why? a. No, because you cannot predict whether the next pen will write or not b. No, because $\frac{20}{25}$ is 0.8 c. Yes, because $\frac{20}{25}$ is 0.2 d.) Yes, because $\frac{5}{25}$ is 0.2

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Problem 2203

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 2204

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 2205

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 2206

1. $2 \pi$ For each of the following word problems, write and explain multiplication and division equations that model the problem, using a question mark for the unknown amount. Determine which interpretation of division is involved (the how-many-groups or the now-many-units-in-1-group) and solve the problem.
If 252 dinner rolls are to be put in packages of 12, how many packages of dinner rolls can be made? If you have 506 stickers to give out equally to 23 children, how many stickers will each child get? Given that 1 gallon is 8 pints, how many gallons of water are 48 pints of water? If your car used 12 gallons of gasoline to drive 360 247 miles, then how many miles per gallon did your car get?

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Problem 2207

Iving Scale Problems Using Proportions -Test Active 2 3 4 5 6 7 8 9 10
Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons.
Not draum to scale
Write a proportion. $\frac{3}{12}=\frac{x}{8}$ Cross multiply. $8 x=3 ६$ Solve for $x . x=4.5$
What error did Paolo make in his solution? Paolo set up an incorrect proportion. Paolo made an error when he cross multiplied the proportion. Paolo divided incorrectly when he solved for $x$ . Save and Exit Submit Mank this end reeum

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Problem 2208

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 2209

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 2210

How many pairs of parallel faces does the shape below have? A. 1 B. 4 C. 3 D. 2 Reset Next

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Problem 2211

4
How many congruent faces does the square pyramid below have? A. 4 B. 6 C. 5 D. 2 Reset Next

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Problem 2212

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 2213

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 2214

This question is typical on some driver's license exams: A car moving at $42 \mathrm{~km} / \mathrm{h}$ skids 12 m with locked brakes.
How far will the car skid with locked brakes at $126 \mathrm{~km} / \mathrm{h}$ ? Assume that energy loss is due only to sliding friction.
Answer in units of $m$ .

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Problem 2215

Confidence in banks: A poll conducted in 2012 asked a random sample of 1259 adults in the United States how much confidence they had in banks and other financial institutions. A total of 154 adults said that they had a great deal of confidence. An economist claims that greater than $13 \%$ of U.S. adults have a great deal of confidence in banks. Can you conclude that the economist's claim is true? Use both $\alpha=0.01$ and $\alpha=0.05$ levels of significance and the $P$ -value method with the TI-84 Plus calculator.
Part: $0 / 4$
Part 1 of 4 (a) State the appropriate null and alternate hypotheses. $H_{0}$ : $\square$ $H_{1}$ : $\square$
This hypothesis test is a (Choose one) $\nabla$ test. $\square$ - $\square$ $\square$ $\square$ $\square$ $\square$ $1 \neq$ $\square$ $p$
3

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Problem 2216

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 2217

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 2218

Given: $\overline{A B} \cong \overline{B C}$ and $\overline{B C}$ bisects $\angle A C D$ . Prove: $\angle A \cong \angle B C D$ .
Note: quadrilateral properties are not permitted in this proof.
Step
1 try Type of Statement

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Problem 2219

2 A recipe for making incense sticks calls for 6 tablespoons of joss powder, $1 \frac{1}{2}$ teaspoons of frankincense, and $\frac{3}{4}$ teaspoon of myrrh. To make incense sticks that would smell the same, how much of the other two ingredients would you need to mix with: a. 4 tablespoons of joss powder? b. 9 tablespoons of joss powder? c. 1 teaspoon of myrrh?

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Problem 2220

(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 2221

\text{The Medical College Admissions Test (MCAT) consists of four sections:} \\ \text{- Chemical and Physical Foundations of Biological Systems (Chem/Phys)} \\ \text{- Critical Analysis and Reasoning Skills (CARS)} \\ \text{- Biological and Biochemical Foundations of Living Systems (Bio/BioChem)} \\ \text{- Psychological, Social, and Biological Foundations of Behavior (Psych/Soc)} \\
\text{The score for each section is approximately normal with a mean of 125 and standard deviation of 3. Assume the correlation between any two sections is 0.5. While a passing score on any section is generally considered to be 128, medical schools accept students (i.e., passed the exam) based on their total score on the MCAT, or a 512 score. For applicants interested in research positions, the Chem/Phys and Bio/BioChem sections are often referenced as most critical. For applicants interested in practicing medicine, the CARS and Psych/Soc sections are most critical.} \\
\text{Consider five random applicants to the same medical school where three of the applicants are interested in research and the other two are interested in practicing medicine. What is the expected total number of these applicants who pass their respective sections on the MCAT on their first attempt? [NOTE: While the MCAT itself and the sections are accurate, the numbers and decision rules were adjusted for this exam question.]} \\
\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{Hi there! It looks like we have a problem related to the MCAT exam scores. However, I need a bit more information before I can help you solve it. Specifically, I need to know:} \\
\text{1. Are we considering the expected number of applicants passing all their respective sections based on an individual section score requirement of 128, or are we considering the total score requirement of 512?} \\ \text{2. How are we expected to calculate or interpret the correlation between sections? Is it influencing the probability of passing?} \\
\text{Once I have this information, we can proceed and find the expected number of applicants passing their respective sections on their first attempt. Please provide these details, and we'll get started right away!} \\ \text{Disregard the 512 part} \\

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Problem 2222

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 2223

3 At a deli counter, - Someone bought $1 \frac{3}{4}$ pounds of ham for $\$ 14.50$ . - Someone bought $2 \frac{1}{2}$ pounds of turkey for $\$ 26.25$ . - Someone bought $\frac{3}{8}$ pound of roast beef for $\$ 5.50$ .
Which meat is the least expensive per pound? Which meat is the most expensive per pound? Explain how you know.

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Problem 2224

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 2225

Edit I New W Tableau Classroom 6 Edit IClasst Classwork fo Grades I Inti Clever I Por:- Whathele: login.i-ready.com/student/dashboard/home NIYARAH
Figures $X, Y$ , and $Z$ are similar.
Which statement is true?
$B^{\circ}$ ○ 8 of 14 Finish Later (II) Subrnit Completed Nov 14 $7: 59$

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Problem 2226

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 2227

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 2228

Estimating a tip without a calculator
Estimate a $5 \%$ tip on a bill of $\$ 39.24$ by first rounding the bill amount to the nearest ten dollars.
Estimated tip: $\$ \square$ $\square$

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Problem 2229

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 2230

Find an equation of the line with a $y$ -intercept at $(0,-5)$ and slope of 10. $y=$ $\square$ Write your answer in the slope-intercept form $y=m x+b$ . Question Help: $\square$ Video Submit Question

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Problem 2231

Write 1.5 as a mixed number and as an improper fraction. Write your answers in simplest form. mixed number: $\square$
improper fraction: $\square$

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Problem 2232

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 2233

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 2234

Estimating a tip without a calculator
Estimate a $25 \%$ tip on a bill of $\$ 58.72$ by first rounding the bill amount to the nearest ten dollars.
Estimated tip: $\square$

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Problem 2235

c. 1 teaspoon of myrrh?
3 At a deli counter, - Someone bought $1 \frac{3}{4}$ pounds of ham for $\$ 14.50$ . - Someone bought $2 \frac{1}{2}$ pounds of turkey for $\$ 26.25$ . $\qquad$ - Someone bought $\frac{3}{8}$ pound of roast beef for $\$ 5.50$ . $26.93 \times \frac{2}{5}=1 . \frac{82.54}{5}$ 5:50 $\times \frac{8}{3}=\frac{44}{3}=14.6$
Which meat is the least expensive per pound? Which meat is the most expensive per pound? Explain how you know. 48.29 $\square$ st expenste $\qquad$ racest pen pound. The Practice Problems

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Problem 2236

Which is an equation of the line through $(-1,-4)$ and parallel to the line $3 x+y=5$ ? $y=-3 x+7$ $y=3 x+1$ $y=3 x-1$ $y=-3 x-7$

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Problem 2237

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 2238

Nento
Question 1 This question has two parts. First, answer part $A$ . Then, answer part $B$ . - Part $A$ $\because$ The model aiplane is 30 feet above the ground. Write an integer to represent the situation. (II) $\pi$

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Problem 2239

Question 3
This question has two parts. First, answer Part A. Then, answer Part B. Part A At the zoo, 4 penguins were added to the new exhibit.
Write an integer to represent the situation.

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Problem 2240

$11 / 14$
Figure the total amount based on the information given, using the simple interest formula and the compound interest formula. Then show the difference (amount) from simple to compound.:
1. $\$ 1,000.00$
2\% 5 Years
2. $\$ 5,000.00$
5\% 10 Years
3. $\$ 10,000.00$ $7 \%$ 5 Years
4. $\$ 15,000.00$
3\% 5 Years
5. $\$ 20.000 .00$ 1.5\%
5 Years

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Problem 2241

Write an equation for the line that has a slope of $\frac{1}{2}$ and passes through $(6,-3)$ $y=$ Question Help: Video Submit Question

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Problem 2242

Determine the equation of the line below using the given point and slope. Point: $(2,-5)$ , Slope: 4
Write your answer as an equation using variables x and y : $\square$ Question Help: Video 1 Video 2 Written Example 1 Submit Question

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Problem 2243

Question Watch Video Show Examples
The derivative of the function $f$ is defined by $f^{\prime}(x)=x^{2}-2 x-5 \sin (2 x-2)$ for $-2<x<4$ . Find all intervals in the given domain where the function $f$ is increasing. You may use a calculator and round all values to 3 decimal places. Answer Attempt 2 out of 3

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Problem 2244

The Boden brothers had a 25-meter swimming race at a pool. Michael gave Hasson a 3-meter head start. Use the given data below to determine who won the race and by how many seconds.
Hasson's Swim
Michael's Swim \begin{tabular}{|c|c|} \hline Time $(\mathrm{sec})$ & Distance $(\mathrm{m})$ \\ \hline 6 & 8.4 \\ \hline 8 & 11.2 \\ \hline 10 & 14 \\ \hline 12 & 16.8 \\ \hline \end{tabular} $\checkmark$ Michael won the race by about $\square$ seconds.

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Problem 2245

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 2246

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 2247

- Jenny has a problem. She knows that the roots of a quadratic function are $x=$ $3+4 i$ and $x=3-4 i$ , but in order to get credit for the problem she needs to know the equation of the function. She is having a hard time with the complex roots, but luckily, her friends are full of advice. a. Mercedes says, "Just remember when we made factors from the roots. If the - roots are 7 and 4 the equation is $y=(x-7)(x-4)$ ." Use Mercedes's idea to help Jenny write the equation of a quadratic function. b. Darin says, "No, no, no. You can do it that way, but that's too complicated. If think you just start with $x=3+4 i$ and work bachwards. So $x-3=4 i$ , then, square both sides... Yeah, that lll work " Try Darin's method. c. Whose method do you think Jenny should use? Explain your choice.

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Problem 2248

NIYARAH
Triangle $A$ has angles that measure $36^{\circ}$ and Which statement is true about Triangle $A$ and Triangle $B$ ? $82^{\circ}$ .
Triangle $B$ has the angle measures shown below.
The triangles are similar because they each have only acute angles.
The triangles are not similar because one of them has an obtuse angle. The triangles are not similar because an $82^{\circ}$ angle is not congruent to a $62^{\circ}$ angle. (1)) The triangles are similar because they each have angles that measure $36^{\circ}, 62^{\circ}, 82^{\circ}$ .

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Problem 2249

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 2250

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 2251

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 2252

You work for a consumer watchdog publication and are testing the advertising claims of a tire manufacturer. The manufacturer claims that normally distributed, with a mean of 40,000 miles and a standard deviation of 7500 miles. You test 16 tires and get the following life spans. $\begin{array}{llllllll} 48,363 & 39,091 & 24,794 & 36,299 & 30,068 & 40,606 & 40,514 & 35,085 \\ 24,654 & 33,554 & 36,128 & 36,278 & 30,630 & 38,308 & 35,665 & 47,237 \end{array}$
Distance (in miles)
Distance (in miles) Distance (in
Is it reasonable to assume that the life spans are normally distributed? Why? Choose the correct answer below. A. No, because the histogram is neither symmetric nor bell-shaped B. Yes, because the histogram is symmetric and bell-shaped. C. No, because the histogram is symmetric and bell-shaped. D. Yes, because the histogram is neither symmetric nor bell-shaped. (b) Find the mean of your sample.
The mean is $\square$ . (Round to one decimal place as needed.) n example Textbook Clea Search

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Problem 2253

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 2254

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 2255

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 2256

The population of a region is growing exponentially. There were 20 million people in 1980 (when $t=0$ ) and 65 million people in 1990. Find an exponential model for the population (in millions of people) at any time $t$ , in years after 1980. (Note: if you use decimal approximations for the numerical constants in your work, use as many decimal places as possible until entering your final answers. Round your final answers fo within three decimal places of accuracy.) $P(t)=$
What population do you predict for the year 2000? Predicted population in the year $2000=$ $\square$ million people. What is the doubling time? Doubling time $=$ $\square$ years.
Submit answer Next item

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Problem 2257

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 2258

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 2259

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 2260

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 2261

3. Local maximum: $(0,1)$ ; local minima: $(-1,-1)$ and $(1,-1) ;-1$ In Exercises 1-6, use the First Derivative Test to determine th extreme values of the function, and identify any absolute extr Support your answers graphically.
1. $y=x^{2}-x-1$
2. $y=-2 x^{3}+6 x^{2}-3$
3. $y=2 x^{4}-4 x^{2}+1$
4. $y=x e^{1 / x}$ Local minimu
Local matime $(-18,0)$ and $(2,4)$ :
5. $y=x \sqrt{8-x^{2}}$
Locat minimum (0.1) local minims $(-2,4)$ and $(\sqrt{8} 8,0)$
6. $y=\left\{\begin{array}{ll}3-x^{2}, & x<0 \\ x^{2}+1, & x \geq 0\end{array}\right.$
4 is an absolutc maximum and, 4 tis an absolute ninimum

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Problem 2262

Practice Exercises 1) Which of the following are valid probability distributions? Explain a) \begin{tabular}{|c|c|} \hline $\boldsymbol{x}$ & $\boldsymbol{P}(\boldsymbol{x})$ \\ \hline 0 & 0.5 \\ \hline 1 & 0.25 \\ \hline 2 & 0.25 \\ \hline \end{tabular} b) \begin{tabular}{|c|c|} \hline $\boldsymbol{x}$ & $\boldsymbol{P}(\boldsymbol{x})$ \\ \hline 0.5 & 0.2 \\ \hline 0.2 & 0.3 \\ \hline 0.3 & 0.25 \\ \hline \end{tabular} c) \begin{tabular}{|c|c|} \hline $\boldsymbol{x}$ & $\boldsymbol{P}(\boldsymbol{x})$ \\ \hline 0 & 0.3 \\ \hline 1 & 0.25 \\ \hline 2 & 0.25 \\ \hline 3 & 0.2 \\ \hline \end{tabular}

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Problem 2263

Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Use a graphing utility to verify your result. Vertex: $(2,1)$ ; Point: $(4,-11)$ $y=$ $\square$ Need Helo? Read It Watch It

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Problem 2264

15. $4 i-3 i^{2}+2 i^{3}-i^{4}=$ A. $-2+2 i$ B. $-2-2 i$ . C. $2+2 i$ . D. $2-2 i$ .
16. The figure shows the graph of $y=a x^{2}-6 x+c$ , where $a$ and $c$ are constants. The graph cuts the $x$ -axis and the $y$ -axis at -1 and -9 respectively. The equation of the axis of symmetry of the graph is A. $x=-1$ . B. $x=\frac{1}{2}$ . C. $x=1$ . D. $x=2$ .
17. For $0^{\circ} \leq \theta \leq 360^{\circ}$ , how many roots does the equation $2 \sin ^{2} \theta-3 \sin \theta+1=0$ have? A. 2 B. 3 C. 4 D. 5

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Problem 2265

Enter the answer.
Estimate the product by rounding each factor to the nearest whole number. $4.18 \times 6.86$ about $\square$

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Problem 2266

ming measures.
Consider the enlargement of the triangle.
Which statement is true about setting up a proportion to solve for the missing measure? Corresponding parts must be in different positions. Corresponding parts must be in the same position. The two ratios are not equal. The enlargement is not proportional to the original figure.

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Problem 2267

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 2268

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 2269

Analyzing a Solution
Medea found the missing measure using a proportion of the reduced trapezoid.
1. Proportion: $\frac{4}{x}=\frac{8}{\frac{1}{2}}$
2. Cross products: $4\left(\frac{1}{2}\right)=8(x)$
3. Simplify: $2=8 x$
4. Divide: $\frac{1}{4}=x$
Analyze Medea's work. In which step did Medea make an error? In step 1, the corresponding parts are in different positions. In step 2, the cross products should be multiplied instead of being equal. In step 3, she should have added instead of multiplying to simplify. In step 4, she needed to divide 2 to both sides to get $x=4$ .

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Problem 2270

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 2271

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 2272

10 11 12
The Sugar sweet Company is going to transport its sugar to market. It will cost $\$ 3500$ to rent trucks, and it will cost an additional $\$ 175$ for each ton of sugar transported.
Let $C$ represent the total cost (in dollars), and let $S$ represent the amount of sugar (in tons) transported. Write an equation relating $C$ to $S$ . Then use this equation to find the total cost to transpyyt 12 tons of sugar.
Equation: $\square$
Total cost to transport 12 tons of sugar: $\square$ Check

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Problem 2273

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 2274

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 2275

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 28 liters per minute. There are 400 liters in the pond to start. Let $W$ represent the total amount of water in the pond (in liters), and let $T$ represent the total number of minutes that water has been added. Write an equation relating $W$ to $T$ . Then use this equation to find the total amount of water after 14 minutes.
Equation: $\square$ $\square$ $\square$ $\square$ $=\square$ $\square$ -
Total amount of water after 14 minutes: $\square$ liters Save For Later Submit Assignment Check Privacy Center Aceesthin

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Problem 2276

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 2277

9:24 PM Thu Nov 14 Bonus - 45% 7/20 If you receive 25% off an item costing $22.00, how much money do you save? *

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Problem 2278

斒, Write the sentence as an equation. [唁] $a$ is the product of 256 and $a$ , increased by 368 [i].] Type a slash ( / ) if you want to use a division sign. $\square$ Submit

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Problem 2279

(i) Write the sentence as an equation.
效, Type a slash ( / ) if you want to use a division sign. $\square$ Submit

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Problem 2280

10 Tonya ran $\frac{2}{3}$ of a mile down at the high school track and then walked $\frac{2}{6}$ of a mile. a How far did Tonya go in all? Choose the best estimate. More than a mile

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Problem 2281

Three consecutive integers have a sum of 57 . Find the integers. $\square$

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Problem 2282

1) 「 $_{\text {A }}$ , Write the sentence as an equation. )) 层, $m$ times 221 is 133 $\square$ Submit

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Problem 2283

Big babies: The National Health Statistics Reports described a study in which a sample of 97 one-year-old baby boys were weighed. Their mean weight was 25.1 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds, Do the data provide convincing evidence that the pediatrician's claim is true? Use the $\alpha=0.05$ level of significance and the $P$ -value method and Excel.
Part: $0 / 5$
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$
This hypothesis test is a (Choose one) $\boldsymbol{\nabla}$ test. $\square$ Nexhrart Submit Assignment 1020erM 1 14eres4

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Problem 2284

Question 2 2 pts
An integer is $\square$ if it has a remainder of 0 when divided by 2 ; otherwise, it is $\square$ Type out answers. Question 3 3 pts

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Problem 2285

EXAM CODE 02 d) The average duration of the assets of God's Time Bank is 8.93 and that average duration of its liabilities is 5.92 . The value of the bank's assets is GH\& 345 million. Suppose that $12 \%$ of the assets are financed by equity. What will be the change in the networth of the bank if interest rates rise by $1.5 \%$ over the coming year? [6 marks]

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Problem 2286

The charter of a corporation provides for the issuance of 134,000 shares of common stock. Assume that 63,000 shares were originally issued and 13,300 were subsequently reacquired. What is the number of shares outstanding? a. 13,300 b. 49,700 C. 63,000 d. 134,000

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Problem 2287

Attempt 1: 10 attempts remaining. The town of Sickville, with a population of 9762 is exposed to the Blue Moon Virus, against which there is no immunity. The number of people infected when the virus is detected is 60 . Suppose the number of infections grows logistically (see logistic formula in question 4 above), with $k=0.84$ .
Find $b$ . $\square$ Find the formula for the number of people infected after $t$ days. $N(t)=$ $\square$ Find the number of people infected after 21 days. $\square$
Submit answer Next item

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Problem 2288

Kerlise Sylvestre 11/14/24 10:32 PM Question 34, 6.4.13-T HW Score: 84.68\%, 31.33 of 37 points tribution Homework Part 3 of 3 Points: 0.33 of 1 Sav
When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 130 lb and 201 lb . Weights of women are now normally distributed with a mean of 172 lb and a standard deviation of 46 l Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 130 lb and 201 lb .
The probability is approximately 0.5553 . (Round to four decimal places as needed.) b. If 30 different women are randomly selected, find the probability that their mean weight is between 130 lb and 201 lb.
The probability is approximately 0.9997 . (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. The part (b) probability is more relevant because the seat performance for a single pilot is moresmportant. B. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important. C. The part (a) probability is more relevant because the seat performance for a single pilot is more important D. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important Clear all Chect answer an example Get more help $73^{\circ} \mathrm{F}$ Clear

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Problem 2289

nstructions Answer Options
Which of the following compound expressions will result in true? A True \&\& False || False
B !False \&\& ! True
C True $1 \mid$ False \&\& False
D (True $\mid$ | True) \&\& False
E (True || False) \&\& False Skin For Now

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Problem 2290

Question 8
What is the NON-SIMPLIFIED result using Cramer's Rule to solve the system of equations $\left\{\begin{array}{c}2 x-4 y=1 \\ x+3 y=-2\end{array}\right.$ ? $\left(\frac{3}{-6}, \frac{3}{-6}\right)$ $\left(\frac{-5}{10}, \frac{-5}{10}\right)$ $\left(\frac{4}{-8}, \frac{4}{-8}\right)$ $\left(\frac{-2}{4}, \frac{-2}{4}\right)$ Previous

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Problem 2291

15. Sara works at a store where she earns $\$ 13.50$ per hour. a. Write an equation that shows the relationship between the total amount of money in dollars Sara earns $d$ and the number of hours she works $h$ . $d=13.50$ $x h$ b. Sara works 35 hours. How much money does she earn? $d=47$ $2: 5$ 0 c. How many hours does Sara work to earn $\$ 675$ ?

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Problem 2292

Watch Vider
Question 700 students attend Ridgewood Junior High School. $25 \%$ of students bring their lunch to sch everyday. How many students brought their lunch to school on Thursday?
Insert the values given in the problem then scale up or down to find the missing value.

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Problem 2293

A square based pyramid and a rectangular prism have the same height and their bases are congruent squares.
1. If the volume of the rectangular prism is $150 \mathrm{~cm}^{3}$ , what is the volume of the square pyramid?

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Problem 2294

Put these numbers in order from greateat to least. 5.3 $-5 \frac{12}{30}$ $-5$ Suburit

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Problem 2295

Put these numbers in order from least to greatest. $-\frac{32}{40}$ $-1.5$ $\frac{21}{30}$
Submit

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Problem 2296

Put these numbers in order from least to greatest. 0.9 $\frac{1}{2}$ $\frac{7}{8}$
Subshit

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Problem 2297

Put these numbers in order from greatest to least. 0.6 $\frac{2}{5}$ $\frac{7}{10}$
Submit

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Problem 2298

College tuition: The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $\$ 33,000$ with a standard deviation of $\$ 7300$ . A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is less than $\$ 35,000$ ? Use the $\alpha=0.01$ level of significance and the $P$ -value method and Excel.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \mu=35,000 \\ H_{1}: \mu<35,000 \end{array}$
This hypothesis test is a left-tailed $\quad \mathbf{}$ test. Part 2 of 5 Skip Part Check Save For Later Submit Assi Q 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center

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Problem 2299

Capucine played a game where she earned 179 points from building 11 museums and 4 libraries. She earns 4 more points per museum than per library.
How many points does Capucine earn for each thing she builds?

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Problem 2300

Michael is 4 times as old as Brandon and is also 27 years older than Brandon.
How old is Michael? $\square$

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1 ...20 21 22 23 24 25 26 ...122

Word Problem

Problem 2201

Problem 2202

Problem 2203

Problem 2204

Problem 2205

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 2206

Problem 2207

Problem 2208

Problem 2209

Problem 2210

How many pairs of parallel faces does the shape below have? A. 1 B. 4 C. 3 D. 2 Reset Next

Problem 2211

4How many congruent faces does the square pyramid below have? A. 4 B. 6 C. 5 D. 2 Reset Next

Problem 2212

Problem 2213

Problem 2214

Problem 2215

Problem 2216

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 2217

Problem 2218

Given: AB‾≅BC‾\overline{A B} \cong \overline{B C}AB≅BC and BC‾\overline{B C}BC bisects ∠ACD\angle A C D∠ACD. Prove: ∠A≅∠BCD\angle A \cong \angle B C D∠A≅∠BCD.Note: quadrilateral properties are not permitted in this proof.Step1 try Type of Statement

Problem 2219

Problem 2220

Problem 2221

Problem 2222

Problem 2223

Problem 2224

Problem 2225

Edit I New W Tableau Classroom 6 Edit IClasst Classwork fo Grades I Inti Clever I Por:- Whathele: login.i-ready.com/student/dashboard/home NIYARAHFigures X,YX, YX,Y, and ZZZ are similar.Which statement is true? B∘B^{\circ}B∘ ○ 8 of 14 Finish Later (II) Subrnit Completed Nov 14 7:597: 597:59

Problem 2226

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 2227

Problem 2228

Estimating a tip without a calculatorEstimate a 5%5 \%5% tip on a bill of $39.24\$ 39.24$39.24 by first rounding the bill amount to the nearest ten dollars.Estimated tip: $□\$ \square$□ □\square□

Problem 2229

Problem 2230

Find an equation of the line with a yyy-intercept at (0,−5)(0,-5)(0,−5) and slope of 10. y=y=y= □\square□ Write your answer in the slope-intercept form y=mx+by=m x+by=mx+b. Question Help: □\square□ Video Submit Question

Problem 2231

Write 1.5 as a mixed number and as an improper fraction. Write your answers in simplest form. mixed number: □\square□improper fraction: □\square□

Problem 2232

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 2233

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 2234

Estimating a tip without a calculatorEstimate a 25%25 \%25% tip on a bill of $58.72\$ 58.72$58.72 by first rounding the bill amount to the nearest ten dollars.Estimated tip: □\square□

Problem 2235

Problem 2236

Which is an equation of the line through (−1,−4)(-1,-4)(−1,−4) and parallel to the line 3x+y=53 x+y=53x+y=5 ? y=−3x+7y=-3 x+7y=−3x+7 y=3x+1y=3 x+1y=3x+1 y=3x−1y=3 x-1y=3x−1 y=−3x−7y=-3 x-7y=−3x−7

Problem 2237

Problem 2238

NentoQuestion 1 This question has two parts. First, answer part AAA. Then, answer part BBB. - Part AAA ∵\because∵ The model aiplane is 30 feet above the ground. Write an integer to represent the situation. (II) π\piπ

Problem 2239

Question 3This question has two parts. First, answer Part A. Then, answer Part B. Part A At the zoo, 4 penguins were added to the new exhibit.Write an integer to represent the situation.

Problem 2240

Problem 2241

Write an equation for the line that has a slope of 12\frac{1}{2}21​ and passes through (6,−3)(6,-3)(6,−3) y=y=y= Question Help: Video Submit Question

Problem 2242

Determine the equation of the line below using the given point and slope. Point: (2,−5)(2,-5)(2,−5), Slope: 4Write your answer as an equation using variables x and y : □\square□ Question Help: Video 1 Video 2 Written Example 1 Submit Question

Problem 2243

Problem 2244

Problem 2245

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 2246

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 2247

Problem 2248

Problem 2249

Problem 2250

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.

Problem 2251

Problem 2252

Problem 2253

Problem 2254

Problem 2255

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

Problem 2256

Problem 2257

4
How many congruent faces does the square pyramid below have? A. 4 B. 6 C. 5 D. 2 Reset Next

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

Given: $\overline{A B} \cong \overline{B C}$ and $\overline{B C}$ bisects $\angle A C D$ . Prove: $\angle A \cong \angle B C D$ .
Note: quadrilateral properties are not permitted in this proof.
Step
1 try Type of Statement

Edit I New W Tableau Classroom 6 Edit IClasst Classwork fo Grades I Inti Clever I Por:- Whathele: login.i-ready.com/student/dashboard/home NIYARAH
Figures $X, Y$ , and $Z$ are similar.
Which statement is true?
$B^{\circ}$ ○ 8 of 14 Finish Later (II) Subrnit Completed Nov 14 $7: 59$

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$

Estimating a tip without a calculator
Estimate a $5 \%$ tip on a bill of $\$ 39.24$ by first rounding the bill amount to the nearest ten dollars.
Estimated tip: $\$ \square$ $\square$

Find an equation of the line with a $y$ -intercept at $(0,-5)$ and slope of 10. $y=$ $\square$ Write your answer in the slope-intercept form $y=m x+b$ . Question Help: $\square$ Video Submit Question

Write 1.5 as a mixed number and as an improper fraction. Write your answers in simplest form. mixed number: $\square$
improper fraction: $\square$

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 $\pi$ . $904.32^{2} \mathrm{~cm}^{3}$ $226.08 \mathrm{~cm}^{3}$ $150.72 \mathrm{~cm}^{3}$ $301.44 \mathrm{~cm}^{3}$

Estimating a tip without a calculator
Estimate a $25 \%$ tip on a bill of $\$ 58.72$ by first rounding the bill amount to the nearest ten dollars.
Estimated tip: $\square$

Which is an equation of the line through $(-1,-4)$ and parallel to the line $3 x+y=5$ ? $y=-3 x+7$ $y=3 x+1$ $y=3 x-1$ $y=-3 x-7$

Nento
Question 1 This question has two parts. First, answer part $A$ . Then, answer part $B$ . - Part $A$ $\because$ The model aiplane is 30 feet above the ground. Write an integer to represent the situation. (II) $\pi$

Question 3
This question has two parts. First, answer Part A. Then, answer Part B. Part A At the zoo, 4 penguins were added to the new exhibit.
Write an integer to represent the situation.

Write an equation for the line that has a slope of $\frac{1}{2}$ and passes through $(6,-3)$ $y=$ Question Help: Video Submit Question

Determine the equation of the line below using the given point and slope. Point: $(2,-5)$ , Slope: 4
Write your answer as an equation using variables x and y : $\square$ Question Help: Video 1 Video 2 Written Example 1 Submit Question

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

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.

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

Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Use a graphing utility to verify your result. Vertex: $(2,1)$ ; Point: $(4,-11)$ $y=$ $\square$ Need Helo? Read It Watch It

Enter the answer.
Estimate the product by rounding each factor to the nearest whole number. $4.18 \times 6.86$ about $\square$

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: $144=$ $\square$ $\square$ $=x$

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. $\square$

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.)