Math Questions

Rectangle HIJK is dilated to produce rectangle H'T'J'K'. If the perimeter of HIJK is a and the perimeter of H'I'J'K' is b, what is the scale factor of the dilation?

In a circle with radius 10, an angle intercepts an arc of length 5π/3. Find the angle in radians in simplest form.

A road map has a scale where 16 miles of actual distance is represented by 1 inch on the map. Two cities are 9.5 inches apart on the map. How far is the actual distance between the two city centers? 104 miles 136 miles 120 miles 152 miles

Use the FOIL method to find the terms of the following multiplication problem. (4+6i)-(4-6i)

For the function g(x)=1/2x-4, find g(2) + g(a). g(2)+g(a) = (Use integers or fractions for any numbers in the expression.)

A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt. He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.

Rodney's Repair Service has a lug nut tightening machine that works well 86% of the time. They got a new machine that works well 96% of the time. Each machine is used 50% of the time. Use Bayes' Theorem to find the probability. If necessary, round your calculations to the nearest thousandths, and write your answer as a percent. The new machine malfunctioned. The new machine will malfunction % of the time.

A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?

According to statistics, a person will devote 36 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 20. Over the lifetime, how many years will the person spend on each of these activities? years watching TV and years sleeping. The person will spend (Type whole numbers.)

A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?

A license plate is to consist of 3 letters followed by 2 digits. Determine the number of different license plates possible if the first letter must be an A, E, I, O, U or Y and repetition of letters and numbers is not permitted. 405,600 324,000 342,000 205,200

Which equation has the same solution as x² + 18x - 20 = -2? (x-9)² = 99 (x + 9)² = -63 ○ (x + 9)² = 99 (x - 9)² = -63

In some country the budget for defense exceeded the budget for education by $621.9 billion. If x represents the budget for education, in billions of dollars, how can the budget for defense be represented? If x represents the budget for education, in billions of dollars, the budget for defense can be represented by. (Use integers or decimals for any numbers in the expression.)

Suppose the average yearly salary of an individual whose final degree is a master's is $35 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees. The average yearly salary for an individual whose final degree is a bachelor's is $ thousand and the average yearly salary for an individual whose final degree is a master's is $thousand.

A beach ball is a sphere with a diameter of 10 inches. What is the volume, in cubic inches, of the beach ball? Enter your answer in the space provided. Round your answer to the nearest whole cubic inch.

Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2.18 per movie. Service B charges $33.25 as a subscription fee plus $3.55 per movie. Service B is running a special offer where the first movie is free. Given that Anna always rents at least 1 movie in a given subscription period, how many movies would she have to rent for the average cost per movie to be equal at Service A or Service B? A. 6 B. 0 C. 1 D. 7

The Pyramid Arena in Memphis, Tennessee, is a square pyramid with base edge lengths of 200 yd and a height of 32 stories. Estimate the area of the glass on the sides of the pyramid by rounding the slant height of the building to the nearest 10 feet. (Hint: 1 story = 10 ft) The area of the glass on the sides of the pyramid is approximately.

Kelly is learning about rational and irrational numbers. What conclusion can she draw about the number. 0.01011011101111011111...? It is irrational because it repeats It is rational because it repeats It is rational because it terminates It is irrational because it neither repeats nor terminates.

Find the slope of the line that goes through the given points. (-10, 1) and (-8, -1) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is B. The slope is undefined.

Right now, Mrs. Sarro's age is 2 years more than 5 times her daughter's age. Two years ago, she was seven times as old as her daughter was then. If s represents Mrs. Sarro's age now and drepresents her daughter's age now, write a system of equations that could be used to model this scenario. Use this system of equations to determine, algebraically, the ages of both Mrs. Sarro and her daughter now. Determine how many years from now Mrs. Sarro will be three times as old as her daughter will be then.

Suppose that the mean cost of a haircut for a man is $28 and the mean cost of a haircut for a woman is $44. Which statement is true about the cost of haircuts? On average, the cost of a man's haircut is $16 less than the cost of a woman's haircut Hal of all men pay less than $28 for a haircut Half of all women pay more than $44 for a haircut All men's haircuts cost less than women's haircuts All women's haircuts cost $16 more than men's haircuts

A particular adjustable rate mortgage (ARM) will maintain its initial interest rate for eight years, and each year afterward it will be adjusted. Which of these symbolically expresses that loan arrangement? 1/8 8/1 1/1 8/8

Solve and check the following linear equation. 21-13+9y-3(y+3)]=-2(2y-7)-[(y-1)-2y+11] What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is (x1x is a real number). C. The solution set is Ø.

Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as the speed at which he rides. Which equation best models the amount of time it takes him to finish with his cycling, t, if he rides at a speed of m miles per hour? A. t = 18 + m B. t=m/18 C. t = 18m D. t = 18/m

The angle of elevation from a boat to a hovering helicopter is 32.2° and the helicopter is 600 feet above the water level. What is the horizontal distance, to the nearest foot, between the boat and the helicopter?

Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.

Find the mean, median, and mode of the data. 7, 7, 8, 9, 5, 2, 9, 10, 7, 6 A 7,7, none B. 7,7.5, none C. 7.7,7.5,9 D. 7,7,7

Based on the data set below, what is the frequency of numbers ranging from 90-95? 100, 102, 111, 106, 108, 99, 91, 122, 95, 94, 145, 150, 130, 110, 121, 141, 137, 136, 103, 144

A new car worth $21,000 is depreciating in value by $3000 per year. Complete parts (a) through (6). a. Write a formula that models the car's value, y, in dollars, after x years, b. Use the formula from part (a) to determine after how many years the car's value will be 39,000. 6. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then, show your solution to part (b) on the graph. a. A formula that models the car's value, y, in dollars, after years is (Type an equation.)

Write the equation of the line with the given slope and the given y-intercept. Leave the answer in slope-intercept form. Slope 4/3, y-intercept (0, -3) What is the equation of the line?

Your younger brother has challenged you to a swimming race to see who can swim to the opposite side of the pool first. You know that your brother swims more slowly than you, so to make things more even you choose to swim along a path at a 40 degree angle from the path that would go directly across the pool. The pool is 60 feet wide. Draw a diagram and label all values mentioned to illustrate the problem.

Victoria read a 160-page historical fiction novel followed by a science fiction novel of the exact same length. Her average reading speed of the science fiction novel was 2 pages per hour more than her average reading speed of the historical fiction novel. Victoria models her novel reading marathon with the following expression, where x represents her average reading speed of the historical fiction novel. What does x + 2 represent in this situation? A. the average reading speed of the science fiction novel B. the number of pages of the science fiction novel C. the average reading speed of the historical fiction novel D. the total time taken to read the novels

Find the equation of the line passing through the given pair of points. Write the equation in slope-intercept form. (-4,-5), (3,4) What is the slope-intercept form of the equation that passes through (-4,-5) and (3,4)? (Simplify your answer. Type your answer in slope-intercept form.)

A researcher randomly selects and measures the volumes of the contents of 13 bottles of cough syrup. Assume the sample is taken from a normally distributed population. The 99% confidence interval for the population standard deviation o is (0.0299,0.0405). The population standard deviation of the volumes of the bottles' contents should be less than 0.051 fluid ounce. Does the confidence interval for a suggest that the variation in the volumes of the bottles' contents is at an acceptable level? Explain your reasoning. Choose the correct answer below. A. Yes, because 0.051 is contained in the confidence interval. B. Yes, because all values contained in the confidence interval are less than 0.051. C. Yes, because all values contained in the confidence interval are greater than. D. No, because 0.051 is contained in the confidence interval. E. No, because all values contained in the confidence interval are less than 0.051. F. No, because all values contained in the confidence interval are greater than 0.051.

Find the x-intercept and the y-intercept. Then graph the equation. 5x+6y= -15 Find the x-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. From this data, we can conclude that 68% of the students received scores between and

Write an equation of the line with the given slope and the given y-intercept. Express the answer in standard form. Slope 2/9, y-intercept(0/1/3) Choose the correct equation below. A. 9x+2y=3 B. 9x-2y=3 C. 2x+9y=-3 D. 2x-9y=-3

A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meters? Answer: V =meters³ Submit Answer

Adriana is taking out a loan to buy a car. The APR is 6.5% for a three year loan. The car salesman offered a cash-back incentive of $5500 off an original price of $33,000. What is the monthly amount that Anthony will have to pay? $764.65 $1011.42 $842.85 $917.59

Biologist have found that the number of chirps some crickets make per minute is related to the temperture. The rekationship is very close to being linear, At 68 gegrees the cricket chirps 124 times, and at 80 degrees the cricket chirps 172.

In a circle, an angle measuring 4.9 radians intercepts an arc of length 3.4. Find the radius of the circle to the nearest 10th.

State if the sequence is arithmetic, geometric, or neither. 1, 5, 35, 175, 875... a. Arithmetic b. Geometric C. Neither d. Doge to the moon a b c d

In a circle with radius 8.9, an angle intercepts an arc of length 15.9. Find the angle in radians to the nearest 10th.

Select the correct answer from each drop-down menu. Jane bought a new rectangular placemat with an area of 126 square inches. The length of the placemat is four times the quantity of nine less than half its width. Complete the equation that models the area of the placemat, in terms of the width of the placemat, w. The width of the placemat is

In a circle with radius 4.4, an angle intercepts an arc of length 21.2. Find the angle in radians to the nearest 10th.

Find the missing terms of the arithmetic sequence: 14, 18,....30 a. 23, 29 b. 22, 34 c. 4,8 d. 22, 26

There are 170 adults and 225 children at a zoo. The zoo makes a total of $4,740 from the entrance fees, and the cost of an adult and a child to attend is $24, how much does it cost each for a parent and a child? Let a represent an adult. Let c represent a child. Enter a system of equations to represent the situation, then solve the system.

Which equation has the same solution as x² - 8x + 20 = -10? (x-4)² = -14 (x-4)²-46 (x+4)² = −14 (x+4)² = -46

Meaghan goes to the grocery store to buy hot dogs and hamburgers for a cookout. She buys a total of 10 packages for a total of $37.40. If a package of hot dogs, d, costs $2.29 and a package of hamburgers, b, costs $5.19, determine how many packages of each she bought. Enter a system of equations to represent the situation, then solve the system.

Write the given equation in slope-intercept form. Then identify the slope and the y-intercept for the line. 5x-4y=-20 What is the slope-intercept form of the equation 5x - 4y = -20? (Simplify your answer. Type your answer in slope-intercept form.) What is the slope of the line? m= (Simplify your answer.) What is the y-intercept of the line? (x,y)= (Simplify your answer. Type an ordered pair.)