Math Questions

The volume of a cylindrical soap dispenser is modeled by the expression below. π(x + 1)²(4x + 1) Select the true statement. A. The expression π (x + 1)2 represents the radius of the soap dispenser. B. The expression π (x + 1)2 represents the radius of the soap dispenser. C. The factor 4x + 1 represents the area of the base of the soap dispenser. D. The factor 4x + 1 represents the height of the soap dispenser.

A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route on each trip. Thetotal duration of a round trip from point A to point B and back is 80 minutes, ignoring the time spent stopped at point B. If d is the ferry's distance from point A in miles and t is the time in minutes, which equation models the ferry's distance from point A for the duration of the trip? d=-10.35r-40| +40 d=-10.35-80| +80 . d=-10.35r-281 +28 . d=-10.35-141 +14

Enter the correct answer in the box. The graph of function g is created by applying these transformations to the parent tangent function: reflection over the x-axis • horizontal stretch by a factor of 5 • vertical shift down 3 units Write the equation representing function g.

A cylindrical fish tank at the zoo has a capacity of 7252 cubic feet. What is the height of the tank if its radius is 16 feet? Use = 3.14 and round to the nearest foot. 8 ft 9 ft 89 ft 144 ft

Find the mean, median, and mode: 2.3, 4.3, 3.2, 2.9, 2.7, 2.3 A. 2.95, 2.8, 2.3 B. 2.95, 2.3, 2.8 C. 2.8, 2.95, 2.3 D. 3.05, 2.8, 2.3

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y≤ 2x 6 y≤-1/2x -1

A store sells cement mix in 20-, 40-, and 50-pound bags. Last week the store sold 25 bags of cement mix. The store sold a total of 920 pounds of mix. The number of 40-pound bags the store sold was two less than twice the number of 20-pound bags it sold. Find the number of 20-, 40-, and 50-pound bags sold last week.

You have been asked to cut two boards (exactly the same length after the cut) and place them end to end. If the combined length must be within 0.06 inches of 30 inches, then each board must be within how many inches of 15?

The exponential function f(x) = 2500(0.4) models the amount of money in Zachary's savings account over the last 10 years. Is Zachary's account balance increasing or decreasing? Write the base in terms of the rate of growth or decay.

A toy plane is thrown upward with an initial velocity of 7 meters per second from an initial height of 4 meters. About how much time does it take for the plane to hit the ground? About 0.5 seconds About 1.9 seconds About 2.38 seconds About 4 seconds

Briana's house is worth $179,000. The property tax rate in her county is 1.8%. What is the amount she should set aside each month to pay her property taxes? $805.50 $1611 $3222 $268.50

Fairview is hosting a city-wide arts festival at which vendors can pay to have a small booth or a large booth. The fee for a small booth is $27, whereas the fee for a large booth is $81. The city hopes to receive at least $1,500 in fees. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of small booths y = the number of large booths (27+ x)(81+ y) ≥ 1,500 27x 81y 2 1,500 27 + x +81 + y ≥ 1,500 27x+81y 2 1,500

For the following set of data, find the population standard deviation, to the nearest thousandth. 45, 30, 35, 20, 21, 46, 16, 37 Copy Values for Calculator Open Statistics Calculator

Kyle throws a baseball straight up from a height of 4 feet with an initial speed of 30 feet per second. If Kyle doesn't catch the ball, when will the ball hit the ground? 1 second 2 seconds 8 seconds 3.621 seconds

Which of the following expressions represents the verbal description below? the square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1

The salaries of six bank employees are $37,000, $38,500, $35,000, $37,000, $45,000, $40,000, and $75,000. Which statement is true? Both the median and mode are appropriate measures of center. The mean, median, and mode are all appropriate measures of center. Both the mean and median are appropriate measures of center. The median is the only appropriate measure of center.

In a circle with radius 6.5, an angle measuring 5.5 radians intercepts an arc. Find the length of the arc to the nearest 10th.

As part of a water quality survey, you test the water hardness in several randomly selected streams. The results are shown below. Construct a confidence interval for the population variance o2 and the population standard deviation o. Use a 99% level of confidence. Assume that the population has a normal distribution. n=17 s = 12 grains per gallon What is the confidence interval for the population variance σ²? (Round to one decimal place as needed.)

Solve the proportion you found in the previous exercise. A. about 17.5 miles B. about 0.057 miles C. about 3.43 miles D. about 10.50 miles

The numbers of items that customers purchased using a self-checkout lane are shown. 8, 4, 6, 5, 4, 3, 15, 4, 4, 1, 10, 3, 4, 12, 7, 2, 4, 6, 21, 18, 4, 10, 13, 4 Which measure or measures of central tendency best reflect the data? Select EACH correct answer. mean mode median

George made the box plots to compare the number of calories between his morning snacks and his afternoon snacks. Compare the ranges of the two plots and determine the answer that best fits the data. The range of calories in George's morning snacks is about 80 more than the range of calories in his afternoon snacks. The range of calories in George's morning snacks is about 80 less than the range of calories in his afternoon snacks. The range of calories in George's morning snacks is about 150 less than the nge of calories in his afternoon snacks. The range of calories in George's morning snacks is about 150 more than the range of calories in his afternoon snacks.

A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.72. Assume the sample is taken from a normally distributed population. Construct 99% confidence intervals for (a) the population variance o2 and (b) the population standard deviation σ Interpret the results. (a) The confidence interval for the population variance is (Round to two decimal places as needed.)

Find the difference of the polynomials given below and classify it in terms of degree and number of terms. 3n2(n2 + 4n 5) (2n2-n4 + 3) A. 4th degree polynomial with 4 terms B. 4th degree polynomial with 5 terms C. 3rd degree polynomial with 4 terms D. 3rd degree polynomial with 5 terms

A carousel with a 60-foot diameter makes 3 revolutions per minute. (a) Find the angular speed of the carousel in radians per minute. (Round your answer to two decimal places.) (b) Find the linear speed (in feet per minute) of the platform rim of the carousel. (Round your answer to two decimal places.)

Determine the value of y, if x is -12. y = |x|-5

What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest cubic meter. A. 141 m³ B. 283 m³ C. 339 m³ D. 424 m³

You invest $2000 in a bank account. Find the amount of simple interest you earn in two years for an annual interest rate of 5.5%. Use the formula for simple interest /= p r t, where / is the interest, p is the principal, r is the annual interest rate, and t is the time in years. A. $22,000 B. $2,200 C. $220 D. $22

The Burger Shop sells hotdogs for $3 each and burgers for $5 each. One day, the shop sold 25 more hotdogs than burgers and made $280. Which system of equations could be used to find the number of hotdogs, h, and burgers, b, that the shop sold that day?

Find the area of a rhombus with a perimeter of 100 meters and one diagonal with a length of 48 meters.

A food store makes a 10 lb mixture of peanuts, cashews and raisins. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as much of peanuts as of cashews. The total cost of the mixture is $14. How much of each ingredient did the store use?

Alton and Eithan are each saving money for a car. The total amount of money Alton will save is given by the function f (x) = = 43 + 3x. The total amount of money Eithan will save is given by the functiong (x) = x² + 25. After how many weeks, x, will they have the same amount of money saved? Explain how you arrived at your answer.

Find the area of a sector with a central angle of 200° and a diameter of 5.3 cm. Round to the nearest tenth. 2.3 cm² 49 cm² 5.9cm² 12.3cm²

For the following set of data, find the number of data within 2 population standard deviations of the mean. 63, 62, 95, 33, 65, 62, 57

Levi buys cookies and potatoes at the store. . He pays a total of $54.69. ' He pays a total of $5.49 for the cookies. . He buys 8 bags of potatoes that each cost the same amount. Write and solve an equation which can be used to determine x, how much each bag of potatoes costs.

In which type of statistical study is the population influenced by researchers? A Researchers do not influence the population in any of the statistical studies. B. survey C. experiment D. observational study

An investment of $1800 earns 6% annual interest, compounded monthly. What is an appropriate unit of time (such as days, weeks, years)? What is the multiplier that should be used? What is the initial value? What is an exponential equation in the form y = a(b)* that can be used to model the

Molly went shopping to buy jewelry. All of the pairs of earrings, e, cost $13.00 and the necklaces, n, cost $40.50. If she spends $118.50 and buys 7 items, how many necklaces and pairs of earrings did she buy? Enter a system of equations to represent the situation, then solve the system. Justify your answer.

Select the answer that completes the box with the correct terms. The terms are listed in 1, 2, 3, 4 order as shown in the box.

Two trucks were purchased by a landscaping company in 2016. Their values are modeled by the functions f(x) = 35(0.85) * and g(x) = 46(0.75) where x is the number of years since 2016. Which function models the truck that is worth the most after 5 years? Explain

You need to construct a rectangular box with a volume of a volume of 800 cm³ whose base length is three times the base width. The material used to build the top and bottom costs 0.09 per square cm and the material used to build the sides costs 0.12 per square cm. The cost of the least expensive box is: $ (Your written work should include the dimensions of the box.)

Verify the identity. tan x csc 2x− tan x= cotx Choose the sequence of steps below that verifies the identity.

Given the function defined by r(x) = x³ - 3x² + 9x - 4, find the following. r( − 3) r(-3)= (Simplify your answer.)

Sebastian has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 2.5 points for each visit to the movie theater. He needs 115 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number of visits Sebastian must make to earn a free movie ticket.

Complete the explanation of why slant height is not defined for an oblique cone. In an oblique cone, the distance from a point on the edge of the base to the vertex is each point on the base.

Suppose the line of best fit is drawn for some data points. If the mean of the x-coordinates of the points is 10, and the mean of the y-coordinates of the points is -8, the line must pass through which of these points? A. (8,-10) B. (-8, 10) C. (10,-8) D. (-10, 8)

A line of best fit was drawn for 7 data points. What is the maximum number of these data points that may not actually be on the line? A. 7 B. 5 C. 4 D. 6

When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?

An online store begins selling a new type of basketball shoe. In Week 2, 60 pairs of shoes were sold. In Week 4, the store sold 240 pairs of shoes. Write an exponential equation that relates the number of shoes (in pairs) solve to the week number. Let x = the week number Let y = the number of shoes (in pairs)

The velocity v of an object rolled down an inclined plane is given by the formula v= √/48d, where d is the distance the object has rolled. Solve the formula for d d=(Simplify your answer. Use integers or fractions for any numbers in the expression.)

The total points scored by two youth soccer teams are shown. Rockets: 3, 0, 3, 4, 2, 6, 1, 0, 3 Jets: 2, 3, 2, 1, 0, 0, 0, 2, 1