Math Questions

You have 4500 cubic centimeters of wax. How many cylindrical candles can you make from the wax if each candle is 15 centimeters tall and has a diameter of 10 centimeters? None of the other answers are correct 0 3.8 3 4

A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function S=0.60M+ 14.95, where Mis the number of miles driven. The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function I = 0.25M-3.70. Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.

A random sample of house sizes in major city has a sample mean of 1204.9 square feet and a sample standard deviation of 124.6 square feet. Use the Empirical rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet. Round your answer to the nearest whole number (percent).

A car rental company charges an initial fee plus an additional fee for each mile driven. The charge depends on the type of car: economy or luxury. The charge E (in dollars) to rent an economy car is given by the function E= 0.70M+ 14.95, where Mis the number of miles driven. The charge I (in dollars) to rent a luxury car is given by the function L = 1.05M+17.30. Let C be how much more it costs to rent a luxury car than an economy car (in dollars). Write an equation relating C to M. Simplify your answer as much as possible.

A laundry detergent company's 32-ounce bottles pass inspection 98/100 of the time. If the bottle does not pass inspection, the company loses the unit cost for each bottle of laundry detergent that does not pass inspection, which is $3.45. If 800 bottles of laundry detergent are produced, about how much money can the company expect to lose?

Analyze the polynomial function f(x) = (x+8)2 (1-x) using parts (a) through (e). (a) Determine the end behavior of the graph of the function.

expression can be used to find the difference of the polynomials? (10m – 6) – (7m – 4) [10m +(-7m)] + [(-6) + 4] (10m + 7m) + [(−6) + (−4)] [(-10m) + (-7m)] + (6 + 4) [10m +(-7m)] + [6 + (−4)]

Nine hundred (900) high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (GPA) was 2.7, and the standard deviation was 0.4. What is the margin of error, assuming a 95% confidence level? (round to the nearest thousandths place)

Austin will donate up to $460 to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation. Austin would like the amount donated to the Educational Growth Foundation to be at least three times the amount donated to the City Youth Fund. Let x denote the amount of money (in dollars) donated to the City Youth Fund. Let y denote the amount of money (in dollars) donated to the Educational Growth Foundation. Shade the region corresponding to all values of x and y that satisfy these requirements.

Which line is perpendicular to the line y = x + 5 and passes through the point (-7, 2)? Write your answer as y=mx+b with no spaces. Use parenthesis if your slope is a fraction. For example, if your answer is y = -3/4 x + 1. you would type your answer as y=(-3/4)x+1

Solve the equation x/3x9 -2 = 1/ x-3 Does the equation have a solution? Input Yes or No here: If your answer is Yes, input your solution here: x =

The circumference is 2.6 mm. Area in in decimal form: ____ A ≈ 8.16 cm² A ≈ 5.31 mm² A ≈ 16.33 cm² A ≈ 21.23 cm²

Find the area of the circle. Find the solution into decimal form rounded to the nearest hundred. The circumference is 0.67π miles. A = 1.13 mi² A = 0.09 m² A = 3.77 mi² A = 1.2 mi² A = 0.28 mi² A = 0.367 mi²

A set of nine data points is shown below. 8, 11, 12, 10, 9, 7, 5, 3, 9 Which statement is true if a tenth data point of 45 is added to the data set? The mean and median will both increase. The mean will increase and the median will decrease. The mean will increase and the median will remain the same. The mean and median will both decrease.

For the following function, one zero is given. Find all the others. tx)=x³-6x² +10x-8; 1-i The zeros of f(x) are 1-i. __,and ___ (Simplify your answers. Type any nonreal complex zeros first. Type exact answers, using radicals and i as needed.)

The functions and are defined as follows. q(x)=3x-2 r(x)=-3x-3 Find the value of r(q (2)).

here are two Statistics class in the high school. Andrea is in the AP class with 12 students and Drew is in the regular class with 18 students. If one student from each class will be chosen, what is the probability that both Andrea and Drew will be chosen.

For each data, match the type of data which best fits it. Number of people attending a university football A. Quantitative Continuous game. Favorite color B. Qualitative The weights of apples for sale at the store. C. Quantitative Discrete The number of pairs of shoes that you wear every day. D. Quantitative Discrete The number of people in your household who have have purchased a new phone in the last year.

The equation of a line is given below. 11x+4y=22 Find the X-intercept and the -intercept. Then use them to graph the line. X-intercept: y-intercept:

Suppose that z = z(t) and y = y(t) are both functions of t. If y² + x = 20, and dy/dt = -2 when z = 4 and y = -4, what is dx/dt?

The density of seawater is about 0.001027 kg/cm³. A tropical fish tank measures 50.8 centimeters by 30.5 centimeters by 30.5 centimeters. What is the mass of the seawater in the tank? Round to the nearest hundredth if necessary. 48.53 kg 43.63 kg 47.26 kg 51.19 kg None of the other answers are correct

In a baseball stadium, there is a certain number of fans. In the football stadium down the street, there are 300 more than twice the number of fans in the baseball stadium. There are 16,344 fans combined between the two stadiums. How many fans are at each stadium?

Suppose h" is continuous at x = 5.h' (5)= 0, and h" (5) > 0. What can you say about the behavior of h at x = 5? Inflection point Inflection point at a horizontal tangent Relative (local) maximum Relative (local) minimum

The number of math problems Phaedra has completed varies directly with the amount of time she has been working on homework. She completed 8 in the first 6 minutes. How many will she have completed after 27 minutes? A 20 B 29 C 35 D 36

A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.11 for each minute of calls. Plan B costs $9 plus an additional $0.16 for each minute of calls. For what amount of calling do the two plans cost the same? minutes What is the cost when the two plans cost the same? $0

Ellie is building a dollhouse. She has boards that are two different lengths. A long board is 17 inches longer than the short board. a. Draw a picture showing how the short and long boards are related. The length of the long board is 50 inches. The length of the short board is unknown. b. Write an equation that shows how the length of the long board is related to the length of the short board. Remember to define your variable first. c. Ellie estimates that the length of the short board is between 30 and 40 inches. Test at least three values in this range in your equation. Were any of the values you tested a solution? How do you know? d. What is the length of the short board? Is there more than one possible answer?

Which line is parallel to the line y = 1/2x– 10 and passes through the point (8, -7)? Write your answer as y=mx+b with no spaces. Use parenthesis if your slope is a fraction. For example, if your answer is y = -3/4x + 1. you would type your answer as y=(-3/4)x+1

A principal of $3300 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years? Use the calculator provided and round your answer to the nearest dollar.

A relation contains the points (1, 2), (2, -1), (3, 0), (4, 1), and (5,-1). Which statement accurately describes this relation? F The relation does not represent y as a function of x, because each value of x is associated with a single value of y. G The relation represents y as a function of x, because one value of y is associated with two values of x. H The relation does not represent y as a function of x, because each value of y is associated with two values of x. J The relation represents y as a function of x, because each value of x is associated with a single value of y.

You're constructing a ball pit for a local preschool. You find online that a circular ball pit with diameter 5 feet and depth 3 holds 456 balls. You want to build a 7 by 9 by 3 rectangular ball pit. How many balls will that ball pit hold? Round your answer to the closest whole number.

One hundred students out of 1100 at a school were surveyed. The results are recorded in each problem below. For the statements below, predict the number of students in the population that would answer similarly. Thirty-two students said they drove to school. Show the setup of the problem (blank 1) and the answer (blank 2). Blank # 1 Blank # 2

Mr. and Mrs. Steele deposited $8,000 to open a college savings account for their granddaughter on the day she was born. The account pays 5% simple interest annually. If they made no other deposits or withdrawals since then, how much money would be in the account after 18 years? A $7,200 B $8,000 C $15,200 D $19,253

A study determined that 5% of children under 18 years old lived with their father only. Find the probability that none of the children selected at random from 15 children under 18 years old lived with their father only.

Coast Guard Station Able is located L=120 miles due south of Station Baker. A ship at sea sends an SOS call that is received by each station. The call to Station Able indicates that the ship is located N55°E; the call to Station Baker indicates that the ship is located S60°E.

A triangle is bounded by the line y = 6 -3/4 x, the line passing through the origin that is perpendicular to the first line, and the y-axis.

11.9% of the population is 65 or older. Find the probability that the following number of persons selected at random from 25 people are 65 or older. The probability that at least 3 are 65 or older is (Round to three decimal places as needed.)

The square root of 105 would lie between which two consecutive integers? A 9 and 10 B 10 and 11 C 104 and 106 D 9 and 11

In a class of 28 students, 10 are female and 15 have an A in the class. There are 4 students who are female and have an A in the class. What is the probability that a student chosen randomly from the class is a female who has an A?

A basketball player has a 0.654 probability of making a free throw. If the player shoots 13 free throws, what is the probability that she makes less than 6 of them? Insert the correct symbol to represent this probability.

Suppose the demand function for a product is given by the function: D(q)=-0.012q + 52.8 Find the Consumer's Surplus corresponding to q = 3, 700 units. (Do not round the results until the very end of your calculations. At that point, round to the nearest tenth, if necessary. It may help you to sketch the demand curve, which crosses the horizontal at q = 4, 400.)

A study of homeowners in the 5th congressional district in Maryland found that their annual household incomes are normally distributed with a mean of $41,182 and a standard deviation of $11,990 (based on data from Nielsen Media Research). What percentage of household incomes are between $25,000 and $40,000? 62.5% 53.93% 28.23% 37.22%

A water tank is in the shape of a cylinder with a height of 21 feet and a diameter of 8 feet. What is the volume, in cubic feet, of the water tank? 352 cubic feet 1,056 cubic feet 4,224 cubic feet 5,544 cubic feet

Find the flux of the vector field F (y, — z, x) across the part of the plane z = 2 + 4x + y above the rectangle [0, 4] × [0, 5] with upwards orientation.

The city council conducts a survey of the city's residents to determine which services are most used by the community. 60% of the residents say that they use the library, and 35% of the residents say they use the library and the recycling center. What is the probability that a resident uses the recycling center given that they use the library? Express your answer as a decimal rounded to three decimal places.

The function f(x) = 2x³ − 27x² +84x + 3 has one local minimum and one local maximum. Use a graph of the function to estimate these local extrema. This function has a local minimum at x = ___ with output value ___ and a local maximum at x = ___ value with output ___

Use the right triangle shown in the figure. Then, using the given information, solve the triangle. a=13, b=4; find c, A, and B

Which set of ordered pairs represents y as a function of x? A {(0, 0), (-1, 2), (-1, -2), (-2, 4), (-2,-4)} B {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)} C {(0, 0), (0, 1), (0, 2), (0, -1), (0, -2)} D {(0, 0), (-1,-0.5), (-2,-1), (-3,-1.5), (-4,-2)}

Let f be a scalar field (a function) and F a vector field. For each expression, decide first if it's meaningful, and if so, whether the result is a scalar field or vector field.

The 35-member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club. What is the probability that Hiroko, who is a member of the club but NOT an officer, will be chosen?

The current balance in Marianne's savings account is $525. The account pays 3.5% compounded annually. If she makes no deposits or withdrawals for the next 4 years, her savings account balance will be- A $588.00 B $590.89 C $598.50 D $602.45