Word Problem

Problem 2001

HW11 Optimization: Problem 4 Previous Problem Problem List Next Problem (1 point) A farmer builds a rectangular grid of pens with 1 row and 9 columns using 950 feet of fencing. What dimensions will maximize the total area of the pen? The total width of each row of the pens should be \square feet, the total height of each column of pens should be \square feet, which gives the maximum area of \square square feet.

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Problem 2002

What else would need to be congruent to show that ABCDEF\triangle A B C \cong \triangle D E F by ASAA S A ? A. CF\angle C \cong \angle F B. BCEF\overline{B C} \cong \overline{E F} C. ACOF\overline{A C} \cong \overline{O F} D. AD\angle A \cong \angle D

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Problem 2003

Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodle get? (Assume each gets the same number of biscuits.)
Choose 1 answer: (c) Each poodle gets 524 biscuits because 131×4=524131 \times 4=524.
Each poodle gets 32 biscuits because 131÷4=32131 \div 4=32 remainder 3 . Each poodle gets 33 biscuits because 131÷4=32131 \div 4=32 remainder 3 .

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Problem 2004

Section 5.2 Problem 31 An investment initially worth $5300\$ 5300 earns 7.5%7.5 \% annual interest, and an investment initially worth $7900\$ 7900 earns 5.8%5.8 \% annual interest, both compounded annually.
How long will it take for the smaller investment to catch up with the larger one?
It will take \square years.

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Problem 2005

Jenna's dogs used 9 chew toys last year. The animal shelter used 2,277 chew toys.
How many times as many chew toys did the animal shelter use?
Choose 1 answer: (A) The animal shelter used 20,493 times as many chew toys, because 9×2,277=20,4939 \times 2,277=20,493. B The animal shelter used 2,053 times as many chew toys, because 2,277÷9=2,0532,277 \div 9=2,053. (C) The animal shelter used 253 times as many chew toys, because 2,277÷9=2532,277 \div 9=253.

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Problem 2006

Suppose you purchase a refrigerator for $1,105\$ 1,105 and make payments of $59.17\$ 59.17 per month for 2 years. What is the total amount of interest paid? \ \square$

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Problem 2007

Karen and Wayne need to buy a refrigerator because theirs just broke. Unfortunately, their savings account is depleted, and they will need to borrow money in order to buy a new one. Sears offers them an installment loan at 12\% (add-on rate). The refrigerator at Sears costs $1,578\$ 1,578 plus 5%5 \% sales tax, and Karen and Wayne plan to pay for the refrigerator for 3 years. (Round all answers to the nearest cent.)
Find the total cost of the refrigerator, including sales tax. \ \squareFindtheinterestowedonthis3yearinstallmentloan.$ Find the interest owed on this 3-year installment loan. \$ \squareFindthetotalloanamount.$ Find the total loan amount. \$ \squareWhatisthemonthlypayment?$ What is the monthly payment? \$ \square$

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Problem 2008

Fill in the blanks Enter intercepts as ordered pairs, aka points. Then Graph the parabola given in standard form. You ony need to graph the vertex and one other point Standard Form: f(x)=x2+2xf(x)=x^{2}+2 x
1. Does the parabola open up or down? Up \odot Down
2. Vertex (x,y)=(1,1)(x, y)=(-1,1)
3. yy-intercept (x,y)=(0,0)(x, y)=(0,0)
4. Equation of the Axis of Symmetry: -1 syntax error this is not an equation. Clear All Draw:

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Problem 2009

PQR\triangle P Q R is an equilateral triangle, PQ=18x+1,gR=24x17P Q=18 x+1, g R=24 x-17, and PR=15x+10P R=15 x+10 find xx and e measure of each side. \qquad

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Problem 2010

The pet store puts 2 snakes in a tank. They have a total of 18 snakes. Which expression helps us find out how many tanks of snakes there are?
Choose 1 answer: (A) 18÷218 \div 2 (B) 18÷118 \div 1 (C) 2÷182 \div 18

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Problem 2011

3:58
Answer: Exercise 8: \quad Skye is trying to make her 70.0kg70.0-\mathrm{kg} Saint Bernard go out the back door but the dog refuses to walk. If the coefficient of sliding friction between the dog and the floor is 0.50 , how hard must Skye push in order to move the dog with a constant speed?
Answer \qquad Exercise 9: Rather than taking the stairs, Martin gets from the second floor of his house to the first floor by sliding down the banister that is inclined at an angle of 30.030.0^{\circ} to the horizontal. a) If Martin has a mass of 45 kg and the coefficient of sliding friction between Martin and the banister is 0.20 , what is the force of friction impeding Martin's motion down the banister? b) If the banister is made steeper (inclined at a larger angle), will this have any effect on the force of friction? If so, what?
Answer: a. \qquad Answer: b. \qquad Forces 45
Exercise 10: As Alan is taking a shower, the soap falls out of the soap dish and Alan steps on it with a force of 500 N . If Alan slides forward and the frictional force between the soap and the tub is 50 N , what is the coefficient of friction between these two surfaces?
Answer: \qquad Exercise 11: Howard, the soda jerk at Bea's diner, slides a 0.60kg0.60-\mathrm{kg} root beer from the end of the counter to a thirsty customer. A force of friction of 1.2 N brings the drink to a stop right in front of the customer. a) What is the coefficient of sliding friction between the glass and the counter? b) If the glass encounters a sticky patch on the counter, will this spot have a higher or lower coefficient of friction?
Answer: a. \qquad Answer: b. \qquad 46 Forces

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Problem 2012

Which problem can we solve with 27÷327 \div 3 ?
Choose 1 answer: A LaTasha has 27 rabbit stickers. She splits the stickers evenly among 3 pieces of paper. How many stickers did LaTasha put on each piece of paper? (B) Lindsey picked 3 bags of apples. There are 27 apples in each bag. How many apples does she have in total? (C) Gino had 27 walnut trees in his yard. He cut 3 down to use for firewood. How many walnut trees does Gino have left?

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Problem 2013

Q5) The scale on a map states that 1 cm is 10 km . If you measure 8 cm on the map how many km would the actual distance be? 8 cm=10 km8 \mathrm{~cm}=10 \mathrm{~km} 8 cm=80 km8 \mathrm{~cm}=80 \mathrm{~km} 8 cm=17 km8 \mathrm{~cm}=17 \mathrm{~km} 8 cm=18 km8 \mathrm{~cm}=18 \mathrm{~km}

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Problem 2014

Calculator Section: You may use a calculator for these problems. Round answers to the nearest thousandth.
7. A certain medication is designed such that once it is ingested, 30%30 \% of the active ingredient dissipates each hour. In other words, 30%30 \% of the amount of active ingredient in the body gets used each hour. a) Complete the following table for someone who consumed a dose of the medication containing 50 mg of the active ingredient. \begin{tabular}{|c|c|c|c|} \hline Hours After Ingestion & 0 & 1 & 2 \\ \hline \begin{tabular}{c} Amount of Active \\ Ingredient Remaining \end{tabular} & & & \\ \hline \end{tabular} b) Write an explicit formula modeling this scenario. c) Write an exponential equation for this scenario. (Always define variables, even if not asked!) d) If the medication was taken at 10:00 a.m., how much will be left at 7:00 p.m.?
8. Set up, but do not solve, an equation that would help you answer the following question: The population of a city is currently 320,000. Government analysts predict the city's population will grow at a rate of 2.6%2.6 \% per year. When will the city's population exceed half a million people?
9. The following equation shows the relationship between a pendulum's length (in centimeters) and its period (how long it takes to complete one back and forth swing. In this equation, g is a constant representing the acceleration due to gravity (in this case, g=980 cm/s2\mathrm{g}=980 \mathrm{~cm} / \mathrm{s}^{2} ).  period =2πg length \text { period }=\frac{2 \pi}{\sqrt{g}} \sqrt{\text { length }} a) Find the period of a pendulum with a length b) Find the length of a pendulum whose period is 1.727 of 50 cm . seconds.

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Problem 2015

Question Rectangles EE and FF are similar. If the area of rectangle EE is 12 , what is the area of rectangle FF ?
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 2016

An object is thrown upward at a speed of 185 feet per second by a machine from a height of 12 feet off the ground. The height hh of the object after tt seconds can be found using the equation h=16t2+185t+12h=-16 t^{2}+185 t+12
When will the height be 93 feet? \square Select an answer \vee
When will the object reach the ground? \square Select an answer \checkmark Next Question

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Problem 2017

Rectangles SS and TT are similar. If the area of rectangle SS is 40 , what is the area of rectangle TT ?
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 2018

Rectangles F and G are similar. If the area of rectangle F is 63 , what is the area of rectangle G ?
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 2019

An isosceles right triangle has a hypotenuse of length 58 inches. What is the perimeter, in inches, of this triangle? (A) 29229 \sqrt{2} (B) 58258 \sqrt{2} (C) 58+58258+58 \sqrt{2} (D) 58+116258+116 \sqrt{2}

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Problem 2020

A flexible vessel contains 37 L of gas where the pressure is 1.0 atm . What will the volume be when the pressure is 0.70 atm , the temperature remaining constant? a. 0.019 L b. 37 L c. 53 L d. 0.046 L e. 26 L

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Problem 2021

Submit quiz
A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 7693477648357270775974801029571\begin{array}{lllllllllllllll} 76 & 93 & 47 & 76 & 48 & 35 & 72 & 70 & 77 & 59 & 74 & 80 & 102 & 95 & 71 \end{array}
Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H0:μ=60\mathrm{H}_{0}: \mu=60 seconds B. H0:μ=60H_{0}: \mu=60 seconds H1:μ>60H_{1}: \mu>60 seconds H1:μ60H_{1}: \mu \neq 60 seconds C. H0:μ=60\mathrm{H}_{0}: \mu=60 seconds D. H0:μ60H_{0}: \mu \neq 60 seconds H1:μ<60\mathrm{H}_{1}: \mu<60 seconds H1:μ=60H_{1}: \mu=60 seconds
Determine the test statistic. (Round to two decimal places as needed.) Determine the P -value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim.

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Problem 2022

Answer the following questions. (a) 27 is what percent of 18.75 ? (b) 52.5%52.5 \% of what is 25.83 ?

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Problem 2023

Put the steps in the correct order. Graphing Linear Relationships [ Select ] Plot the yy-intercept [Select] Draw your line using the two points you plotted [ Select ] Put the equation in slope-intercept form [ Select ] From the yy-intercept, use the slope to find your second point

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Problem 2024

How many inches are there in 3.5 yards \qquad

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Problem 2025

For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4945 of supporting the claim that μ<6\mu<6 hours of sleep when the actual population mean is 4.0 hours of sleep. Interpret this value of the power, then identify the value of β\beta and interpret that value.
Interpret this value of the power. A. The chance of failing to recognize that μ=4.0\mu=4.0 hours is not very high when in reality μ=4.0\mu=4.0 hours. B. The chance of failing to recognize that μ<6\mu<6 hours is not very high when in reality μ=4.0\mu=4.0 hours. C. The chance of recognizing that μ<6\mu<6 hours is very high when in reality μ=4.0\mu=4.0 hours. D. The chance of recognizing that μ<6\mu<6 hours is not very high when in reality μ=4.0\mu=4.0 hours.

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Problem 2026

Which expression is equivalent to 5(2t+9)+7t5(2 t+9)+7 t ? 2(5t+9)+7t2(9t+5)+7t9(2t+5)+7t17t+45\begin{array}{l} 2(5 t+9)+7 t \\ 2(9 t+5)+7 t \\ 9(2 t+5)+7 t \\ 17 t+45 \end{array} Submit

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Problem 2027

Question Rectangles F and G are similar. If the area of rectangle F is 63 , what is the area of rectangle G ?
9 Rectangle FF 6.3
Area =63=63 Rectangle G
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 2028

Trig Word Problems (Level 2) Score: 1/71 / 7 Penalty: 1 off
Question Show Examples
Bilquis is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 29 meters from the building. The angle of elevation from her eyes to the roof (point AA ) is 1717^{\circ}, and the angle of elevation from her eyes to the top of the antenna (point BB ) is 3131^{\circ}. If her eyes are 1.51 meters from the ground, find the height of the antenna (the distance from point AA to point BB ). Round your answer to the nearest meter if necessary. Answer Attempt 2 out of 2 10 meters Submit Answer

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Problem 2029

A certain drug is made from only two ingredients: compound AA and compound BB. There are 3 milliliters of compound AA use for every 2 milliliters of compound BB. If a chemist wants to make 270 milliliters of the drug, how many milliliters of compound BB are needed? \square milliliters of compound BB

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Problem 2030

Study the coordinate plane below.
A certain polygon has its vertices at the following points: (1,1),(1,8),(8,1)(1,1),(1,8),(8,1), and (8,8)(8,8) What is the best description of this polygon? A. triangle B. square C. pentagon D. trapezoid

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Problem 2031

Which expression is equivalent to 5(8s+5)-5(8 s+5) ? 40s+5-40 s+5 5(5+8s)-5(5+8 s) 5(8s5)8(5s5)\begin{array}{l} 5(8 s-5) \\ 8(5 s-5) \end{array}
Submit

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Problem 2032

4 Numeric 1 point You are at school for 8 hours every day, 5 days per week. How many minutes a week are you in school? Type your answer...

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Problem 2033

Unit 1 Lesson 1
Practice
1. Jomi draws a series of squares on centimetre grid paper.

\square (Knowledge and Understanding) (Application) (Communication) a) Complete each table of values to describe two different patterns involving the squares. \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Side length \\ (cm)(\mathrm{cm}) \end{tabular} & \begin{tabular}{c} Perimeter \\ (cm)(\mathrm{cm}) \end{tabular} \\ \hline 1 & \\ \hline 2 & \\ \hline 3 & \\ \hline 4 & \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Side length \\ (cm)(\mathrm{cm}) \end{tabular} & \begin{tabular}{c} Area \\ (cm2)\left(\mathrm{cm}^{2}\right) \end{tabular} \\ \hline 1 & \\ \hline 2 & \\ \hline 3 & \\ \hline 4 & \\ \hline \end{tabular}

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Problem 2034

What is the solution to 4(2m7)=3(524m)-4(2 m-7)=3(52-4 m) ? m=\mathrm{m}=

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Problem 2035

Name: Date: Lesson 10: I can divide by multiples of 10 when the basic fact divides evenly by using place value knowledge and the powers of ten.
Problem: Jose has 270 hockey cards to arrange in 9 boxes. Each box is to hold the same number of cards. How many cards should he place in each box?
Let's Practice: What if Jose had 270 cards to put into 90 boxes?

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Problem 2036

There are 42 girls and 56 boys who want to play a game. Each team will have both boys and girls on it. The ratio of boy to girls has to be the same for each team. Everyone must participate in the game.
What is the greatest number of teams that can be formed? lou can earn 5 coins
10 teams 12 teams 14 teams 16 teams

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Problem 2037

Practice Go Online You can complete your homework cinith
1. Gennaro is considering two job offers as a part-time sales person. Company AA will pay him $12.50\$ 12.50 for each item he sells, plus a base salary of $500\$ 500 at the end of the month. The amount Company B will pay him at the end of the month is shown in the table. Compare the functions' initial values and rates of change. Then determine how much \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Number of \\ Items Sold, xx \end{tabular} & \begin{tabular}{c} Total \\ Earned ( $\$ ), yy \end{tabular} \\ \hline 5 & 425 \\ \hline 10 & 500 \\ \hline 15 & 575 \\ \hline \end{tabular} more Gennaro would make at Company AA if he sells 28 items by the end of the month. (Example 1)

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Problem 2038

PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER (Round your answers to the nearest cent.) (a) What monthly payment will she be required to make if the car is financed over a period of 60 months? Over a period of 72 months?
60 \$ 487.22 review the concepts you need. review the concepts you need. (b) What will the interest charges be if she elects the 60 -month plan? The 72 -month plan?
Need Help? Read It Submit Answer Viewing Saved Work Revert to Last Response

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Problem 2039

Which expression is equivalent to 5(5r6)+4(4r+7)5(5 r-6)+4(-4 r+7) ? 11r29r2\begin{array}{l} -11 r-2 \\ 9 r-2 \end{array} 5(6r+5)+4(4r+7)2r+9\begin{array}{c} 5(-6 r+5)+-4(4 r+7) \\ -2 r+9 \end{array} Submit

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Problem 2040

7. A 30%30 \% antifreeze solution is mixed with a 15%15 \% antifreeze solution to obtain 24 gallons of a 25%25 \% antifreeze solution. Find xx, the number of gallons 30%30 \% antifreeze solution used. Round to the nearest gallon, if necessary. 24q=25%24 q=25 \%

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Problem 2041

Note: Figure is not drawn to scale.
If x=3x=3 units, y=11y=11 units, and h=7h=7 units, then what is the area of the trapezoid shown above? A. 77 square units B. 21 square units C. 49 square units D. 35 square units

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Problem 2042

3. Exit Ticket
Predict how the graphs of the patterns will compare. Explain your thinking. Then complete the tables of values and graph each pattern. Were your predictions correct? (Knowledge and Understanding) (Thiriking) (Communication) A: 3x+4-3 x+4 \begin{tabular}{|c|c|} \hlinexx & 3x+4-3 x+4 \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline 3 & \\ \hline \end{tabular}
B: 2x+42 x+4 \begin{tabular}{|c|c|} \hlinexx & 2x+42 x+4 \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline 3 & \\ \hline \end{tabular} ar moding ovis page is restrictes This neve mas theve brewn

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Problem 2043

Practice (cont'd) They decide to ack of 18 of their favourite mini chocolate bars eat 2 bars each day. a) Represent the of chocolat the pattern in the number the table and bars left by completing \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Days after \\ purchase, xx \end{tabular} & \begin{tabular}{c} Chocolate \\ bars left, yy \end{tabular} \\ \hline 0 & 18 \\ \hline 1 & \\ \hline 2 & \\ \hline 3 & \\ \hline \end{tabular} b) How many chocolate bars would be left after 5 days? Explain how you know. c) Suppose Ryley eats 3 bars each day rather than 2. What would be the first 4 terms of the new pattern? How would the graph change? logy 8, Pattems and Relations The right to reproduce or modify this page is restricted to purchasing school onvrioht Q 2023 Pearsm Canarla ine: This naoe mav have heen modified from its nrinin

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Problem 2044

4. The ratio of the corresponding side lengths of two similar rectangular tables is 4:54: 5. a. What is the ratio of the perimeters? b. What is the ratio of the areas? c. The perimeter of the larger table is 44 feet. What is the perimeter of the smaller table?

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Problem 2045

Question 12, 8.1.75 HW Score: 70%,1470 \%, 14 of 20 Points: 0 of 1
Find the interest rate using A=P(1+r)t.$1000A^{\prime}=P(1+r)^{t} . \$ 1000 grows to $2250\$ 2250 in 2 years. What is the interest rate? \square \%

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Problem 2046

6. The ratio of the area of Triangle AA to Triangle BB is 16:4916: 49. Triangle AA is similar to Triangle BB. a. Which triangle is larger, AA or BB ? b. A side length of Triangle BB is 3.5 inches. What is the corresponding side length of Triangle AA ? c. What is the ratio of the perimeter of Triangle AA to the perimeter of Triangle BB ?

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Problem 2047

Question 1. What is the difference between 3153 \frac{1}{5} and 234-2 \frac{3}{4} ? A: 519205 \frac{19}{20} B: 6496 \frac{4}{9} C: 1320-1 \frac{3}{20} D: 51920-5 \frac{19}{20} E: 1231 \frac{2}{3}

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Problem 2048

13. An isosceles trapezoid has bases that are 7 inches and 13 inches long. The height of the trapezoid is 4 inches. Find the perimeter of the trapezoid.

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Problem 2049

Find the polynomial function ff with real coefficients that has the given degree, zeros, and function value.  Degree  Zeros 35,i Function Value \begin{array}{cc} \text { Degree } & \text { Zeros } \\ 3 & 5, i \end{array} \quad \begin{array}{c} \text { Function Value } \\ \\ \end{array}

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Problem 2050

Ella invested \2,700inanaccountpayinganinterestrateof2,700 in an account paying an interest rate of 5.4 \%compoundedmonthly.Assumingnodepositsorwithdrawalsaremade,howlongwouldittake,tothenearestyear,forthevalueoftheaccounttoreach compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach \4,020 4,020 ?

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Problem 2051

5
Note: Figure is not drawn to scale.
If x=8x=8 units, y=13y=13 units, and h=11h=11 units, then what is the area of the parallelogram shown above? A. 104 square units B. 42 square units C. 88 square units D. 143 square units

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Problem 2052

A set of data comprises of five numbers x1,x2,x3,x4,x5x_{1}, x_{2}, x_{3}, x_{4}, x_{5} which have been placed in ascending order. a. Recalling definitions, such as the Lower Quartile is the n+14th\frac{n+1}{4} t h piece of data with the data placed in order, find an expression for the Interquartile [2]
Range. b. Hence, show that a data set with only 5 numbers in it cannot have any outliers. [5] c. Give an example of a set of data with 7 numbers in it that does have an outlier, justify this fact by stating the Interquartile Range. [2]

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Problem 2053

4. An airplane boards 16 people every 3 minutes How long would it take to board all 150 nassenaers?

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Problem 2054

4. Most of a teen's activity each day should be spent doing \qquad (anaerobic/aerobic) activities.

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Problem 2055

Problems 7 A recipe uses 5 cups of flour for every 2 cups of sugar.
How much sugar is used for every cup of flour?
How much flour is used for every cup of sugar? Submit

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Problem 2056

Tim throws a ball in a sports hall. The height of the ball, hh metres, can be modelled in relation to the horizontal distance from the point at which the ball is thrown, xx metres, by the quadratic equation h=310x2+52x+32h=-\frac{3}{10} x^{2}+\frac{5}{2} x+\frac{3}{2}
The hall has a sloping roof, the height of which can be modelled by the equation h=15215xh=\frac{15}{2}-\frac{1}{5} x
Determine whether the ball will hit the ceiling. (5 marks)

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Problem 2057

Convert 45\frac{4}{5} to a decimal and a percent.
Answer Attempt 1 out of 2
Decimal (Edit the repeating and non-rep
0. \qquad Percent (Edit the repeating and non-repe

\square \%

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Problem 2058

Question Convert 92.6%92.6 \% to a fraction in simplest form and a decimal.
Answer Attempt 1 out of 2
Fraction: \square Decimal (Edit the repeating and non-repeating part):
0. \square

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Problem 2059

The coach is equally distributing 8458 \frac{4}{5} pies on 4 tables for a team celebration. How many pies are on each table?
Use your tape diagram and equations to solve. 4?=8454 \cdot ?=8 \frac{4}{5} 845÷4=8 \frac{4}{5} \div 4= ? pies will go on each table.

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Problem 2060

What is the image of (4,2)(-4,-2) after a reflection over the xx-axis?

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Problem 2061

Which source of bias is most relevant to the following situation? A research study funded by a shoe polish company found that scuffed shoes were the number one reason to not hire a job applicant. self-interest study voluntary response bias nonresponse bias or missing data perceived lack of anonymity loaded or leading question

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Problem 2062

Score on last attempt: \square 0 out of 3
Score in gradebook: \square 0 out of 3
Given the point (r,θ)=(10,3.3)(r, \theta)=(10,3.3) in polar coordinates, determine the same point's location in Cartesian coordinates. Your answer must be accurate to within three decimal places. The angle is measured in radians. (x,y)=(x, y)= \square Preview . (:span class="AMHnotice":)Invalid notation. (:/span:) Try again. Make sure that you are entering an ordered pair and that your coordinates are accurate to within three decimal places. How is the process of converting polar coordinates to Cartesian (rectangular) coordinates based on our work with trigonometric functions? We recommend that you start off by drawing a diagram. This will help you make sure your answer is reasonable before submitting your solution. Submit
Question 3. Points possible: 3 Unlimited attempts.

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Problem 2063

A projectile is launched horizontally from a cliff top at 18 m/s18 \mathrm{~m} / \mathrm{s}. Determine the xyx-y positions at 1 -second intervals. The launch position is (0 m,0 m)(0 \mathrm{~m}, 0 \mathrm{~m}).
Using g=10 m/s/s\mathrm{g}=10 \mathrm{~m} / \mathrm{s} / \mathrm{s}. Enter - for left and down.
Once satisfied with your entries, tap on Check Answers.
Check Answers

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Problem 2064

Charlie has 4 pounds of strawberries. Charlie separates each pound into fourths to put 14\frac{1}{4} pound ina basket. How many baskets can Charlie make?
Solve on pap
Jrk on Zearn.
Charlie can make baskets.

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Problem 2065

82%82 \% 65%65 \% 35%35 \% 18%18 \%

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Problem 2066

Read the problem. Porter and his family are going on a 140-mile road trip. So far, they have traveled 28 miles.
Shade the grid to show the fraction of the trip that Porter's family has completed. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline \end{tabular}
What percetit of the trip has Porter's family completed? You can use your model to help. \square \%

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Problem 2067

Read the problem. 20%20 \% of the gummy bears in a bag are blue. There are 12 blue gummy bears in the bag. Shade the grid to show the percent of gummy bears that are blue. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline & & & & & & & & & \\ \hline & & & & & & & & \\ \hline & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & \ddots & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline \end{tabular}
How many gummy bears are in the bag? You can use your model to help. \square gummy bears

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Problem 2068

Read the problem. There are 35 students in Ms. Randolph's class. Ms. Randolph asked her class whether they would rather read or play games, and 14 of the students responded that they would rather read. Shade the grid to show the fraction of students in Ms. Randolph's class who would rather read than play games. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline \end{tabular}
What percent of the students would rather read? You can use your model to help. \square \% Submit

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Problem 2069

6 Points M,NM, N, and PP are the midpoints of the sides of QRS.QR=30,RS=30\triangle Q R S . Q R=30, R S=30, and SQ=18S Q=18. MN=MM=MP=\begin{array}{l} \mathbf{M N}=\square \\ M \mathbf{M}=\square \\ \mathrm{MP}=\square \end{array}

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Problem 2070

Score: 4/104 / 10 Penalty: none
Question Show Examples
Represent the following sentence as an algebraic expression, where "a number" is the letter xx. 6 times a number.

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Problem 2071

What is the volume of the figure below, which is composed of two cubes with side lengths of 9 units?
Note: Figure is not drawn to scale.
A. 810 cubic units B. 54 cubic units C. 729 cubic units D. 1,458 cubic units

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Problem 2072

The doubling time of a population of flies is 8 hours. By what factor does the population increase in 26 hours? By what factor does the population increase in 1 week?
By what factor does the population increase in 26 hours? \square (Type exponential notation with positive exponents. Use integers or decimals for any numbers in the expression.)

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Problem 2073

Question
Represent the following sentence as an algebraic sion, where "a number" is the letter xx.
Answer Atternpt 111_{1} out of 2

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Problem 2074

You have 8321 pickles, and you want to put these pickles in packages with 6 pickles in each package. How many packages can you make, and how many pickles will be left over? Then write equations like those in part 1 and relate them to the scaffold and the division problem.

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Problem 2075

Write down a mixed number between 33113 \frac{3}{11} and 3253 \frac{2}{5}

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Problem 2076

QUESTION 11 A researcher wants to identify the variables that affect how likely college students are to watch their college's sports teams. The researcher surveys students to measure how often students watch their school's games. They plan to analyze these watch frequency data while considering several independent variables: IV1: Seasons during which the school has televised sports (3 levels): Fall vs. Summer vs. Spring) IV2: How often school teams win ( 5 levels): Mostly Win vs. More Wins than Losses vs. Equal Wins and Losses vs. More Losses than Wins vs. Mostly Lose) IV3: Whether the student identifies generally as a sports fan (2 levels): Sports Fan vs. Not a Sports Fan How many groups (or cells) are required for this factorial design? 3030

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Problem 2077

A pretzel factory has daily fixed costs of $2400\$ 2400. In addition, it costs 30 cents to produce each bag of pretzels. A bag of pretzels sells for $1.70\$ 1.70. Complete steps (a)-(c) below. (a) Find the rule for the cost function c(x)c(x) that gives the total daily cost of producing xx bags of pretzels. c(x)=c(x)= \square (Simplify xbur answer.) (b) Find the rule of the revenue function r(x)r(x) that gives the daily revenue from selling xx bags of pretzels. r(x)=r(x)= \square (Simplify your answer.) (c) Find the rule of the profit function p(x)p(x) that gives the daily profit from xx bags of pretzels. p(x)=p(x)= \square (Simplify your answer.)

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Problem 2078

Use the approximate half-life formula for the case described below. Discuss whether the formula is valid for the case described. Poaching is causing a population of elephants to decline by 8%8 \% per year. What is the half-life for the population? If there are 10,000 elephants today, how many will remain in 60 years?
Use the approximate half-life formula. What is the half-life for the population? \square years (Type an integer or decimal rounded to the nearest hundredth as needed.)

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Problem 2079

In 1-3, circle the factors that can be divided by 2. Then circle even or odd to describe the product.
1. 6×4=6 \times 4= ? even odd
2. 9×1=9 \times 1= ? even odd
3. 8×7=8 \times 7= ? even odd

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Problem 2080

Which is the better buy?
5-pack of frozen waffles for $4.60\$ 4.60
7-pack of frozen waffles for $6.37\$ 6.37

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Problem 2081

ZEARN MATH GRADE 6 / MISSION 3 PROBLEM SETS
4. Andre sometimes mows lawns on the weekend to make extra money. Two weeks ago, he mowed a neighbor's lawn for 32\frac{3}{2} hour and earned $10\$ 10. Last week, he mowed his uncle's lawn for 32\frac{3}{2} hours and earned $30\$ 30. This week, he mowed the lawn of a community center for 2 hours and earned $30\$ 30.

Which jobs paid better than others? Explain your reasoning.

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Problem 2082

Which is the better buy?
4-kilogram bag of carrots for \$6.92
6-kilogram bag of carrots for \$10.59

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Problem 2083

Assume a coin is tossed three times. Compute the probability of tails and 2 heats me OOO 118 318 813 Desf Next Page

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Problem 2084

3 pounds is how many kilograms? Hint: 1lb0.454 kg1 \mathrm{lb} \approx 0.454 \mathrm{~kg}
Round your answer to the nearest tenth. \square

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Problem 2085

In 1-3, use division to solve.
1. 0÷16=0 \div 16= \qquad
2. 10÷10=10 \div 10= \qquad
3. Leroy had 4 oranges. He gave one orange to each of his 4 friends. How many oranges did each friend get? Write an equation to show your answer.

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Problem 2086

10 feet is the same as how many meters?
Hint: 1ft0.305 m1 \mathrm{ft} \approx 0.305 \mathrm{~m}
Round your answer to the nearest tenth.

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Problem 2087

4 milliliters is how many teaspoons? Hint: 1 mL0.21 \mathrm{~mL} \approx 0.2 tsp Round your answer to the nearest tenth. \square

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Problem 2088

Find the unit rate. 108 people 12 days \frac{108 \text { people }}{12 \text { days }} \square people ÷\div \square \square \square \square days ÷\div \square \square \square (Type whole numbers or decimals.)

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Problem 2089

Name enVision Algebra savasrealize com
3-3 Additional Practice Transforming Linear Functions Suppose f(x)=3x+5f(x)=3 x+5. Describe how the graph of each function compares to ff.
1. g(x)=f(x)+12g(x)=f(x)+12
2. h(x)=f(x)7h(x)=f(x)-7
3. g(x)=f(x+8)g(x)=f(x+8)
4. h(x)=f(x14)h(x)=f(x-14)
5. g(x)=4f(x)g(x)=4 f(x)
6. g(x)=f(5x)g(x)=f(5 x)

What value of kk transforms the graph of f(x)=0.5x+3f(x)=0.5 x+3 into graph gg ? Describe transformation. 7. 8. 9.

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Problem 2090

Find the regression equation, letting the first variable be the predictor (x)(x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction worthwhile? Use a significance level of 0.05 . \begin{tabular}{lccccc} \hline Lemon Imports & 227 & 264 & 358 & 460 & 535 \\ Crash Fatality Rate & 16 & 15.9 & 15.6 & 15.4 & 15.1 \\ \hline \end{tabular}
Find the equation of the regression line. y^=+(0.0028)x\hat{y}=\square+(-0.0028) x (Round the yy-intercept to three decimal places as needed. Round the slope to four decimal places as needed.)

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Problem 2091

Suppose two dice (one red, one green) are rolled. Consider the following events. AA : the red die shows 1 ; BB : the numbers add to 3 ; CC : at least one of the numbers is 2 ; and DD : the numbers do not add to 9 . Express the given event in symbolic form. HINT [See Example 5.]
Either the numbers add to 9 or the red die shows a 1. DBD \cap B DAD \cap A DAD^{\prime} \cup A DAD^{\prime} \cap A DBD^{\prime} \cup B
How many elements does it contain? 9 \square

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Problem 2092

Suppose two dice (one red, one green) are rolled. Consider the following events. AA : the red die shows 1 ; BB : the numbers add to 3 ; CC : at least one of the numbers is 2 ; and DD : the numbers do not add to 9 . Express the given event in symbolic form. HINT [See Example 5.]
Either the numbers add to 9 or the red die shows a 1. DBD \cap B DAD \cap A DAD^{\prime} \cup A DAD^{\prime} \cap A DBD^{\prime} \cup B
How many elements does it contain? 9 \square

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Problem 2093

Presentation Sessio... GameZERG - Free 0. My IXL Learning Assessment Analytics Eighth grade,14.10 Solve one-step and two-step equations: word problems HCP You have prizes to reveall Go to Video ( 1 Questions answered
Jake and his friends went to the Dye Storm paint-tag course to celebrate the end of the 6 school semester. The course charges $36\$ 36 for an hour of group tag plus a rental fee for each paint marker. Jake's group played for one hour, rented 5 paint markers, and paid a total of $86\$ 86. How much did it cost to rent each paint marker? Time elapsed 00 16 24 HR MIN Sec \ \square$ Submit SmartScore out of 1000 53

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Problem 2094

Estimate the sum by rounding each number to the nearest hundred thousand and then adding. 983,123+989,514983,123+989,514
The sum is approximately \square

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Problem 2095

A line passes through the points (6,10)(-6,10) and (9,0)(9,0). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. \square 믐 Submit

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Problem 2096

Exercises Apply the Distributive Property to write an equivalent expression.
1. 9(2+x)9(2+x)
2. 5(n+21)5(n+21)
3. 7(3+4y)7(3+4 y)
4. 2(5x+3.5)2(5 x+3.5)
5. 16(5+3a)16(5+3 a)
6. 3(3x+0.8)3(3 x+0.8)
7. 4(y+18)4\left(y+\frac{1}{8}\right)
8. 6(n+14)6\left(n+\frac{1}{4}\right)

Choose the equivalent expression. 9.
9. \begin{tabular}{l|ccc} 6x+186 x+18 & 3(2x+6)3(2 x+6) & 3(x+9)3(x+9) & 2(3x)+2(6)2(3 x)+2(6) \\ \hline 11. & 4(7+3a)4(7+3 a) & 11+7a11+7 a & 28+12a28+12 a \\ \hline 12(y)+312(y)+3 & 12+3y12+3 y & 15y15 y & 74+34a\frac{7}{4}+\frac{3}{4} a \\ \hline \end{tabular}

Choose the inverse operation that would be used to solve the equation. 12. \begin{tabular}{l|ccc}
12. & 5+y=255+y=25 & addition & subtraction \end{tabular} multiplication

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Problem 2097

MA 107 Test 3 (Livengood) Problem 2 Carbon-14 is a radioactive isotype of carbon. Assuming that modern-day carbon and ancient carbon contain the same amount of carbon-14, we can measure the amount of carbon-14 present in ancient artifacts to estimate how old they are.
An ancient painting is found in a cave. One of the pigments in the painting is charcoal, which contains carbon-14. Therefore, we can measure the carbon-14 present in the painting and compare it to the carbon-14 present in the living tree that the wood for the charcoal came from.
The charcoal in this painting contains 20%20 \% of the carbon-14 that modern-day charcoal contains. The half-life of carbon-14 is about 5730 years. Using the continuous exponential decay formula A(t)=A0ektA(t)=A_{0} e^{k t}, determine how old the charcoal used to make the painting is.

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Problem 2098

Estimate the difference by rounding each number to the nearest hundred and then subtracting. 663428663-428

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Problem 2099

What are the xx-intercepts of the graph of f(x)=x33x24xx2+6x+5f(x)=\frac{x^{3}-3 x^{2}-4 x}{x^{2}+6 x+5} ? 1,5-1,-5 0,4 1, 5 0,4,10,4,-1

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Problem 2100

9. MOON The expression w6\frac{w}{6} gives the weight of an object on the IVIOon pounds with a weight of ww\underset{w}{w} pounds on Earth. What is the weight of a space suit on the Moon if the space suit weighs 178.2 pounds on Earth?

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