Basic Math Questions and Answers

Erica claims if a cylinder has an equal radius and height, and its surface area it 64π square inches, what is its volume? 128π 32π 64π 48π

Rate is inversely proportional to time or a given distance. Samantha drives to work averaging 30 mph for (on way ½ hour. On the way back she travels the same way and does it in 1/3 hour, what is her average rate?

Complete the sentence below. In the expression 35, the number 3 is called the and 5 is called the In the expression 35, the number 3 is called the and 5 is called the

Write the following decimals in expanded notation. Write 1.368 in expanded notation. Write 4.092 in expanded notation. Write 21.98 in expanded notation. Write 90.45 in expanded notation. Write 0.379 in expanded notation.

Sean is shipping a box in the shape of a rectangular prism to his brother at college. The box will need to hold 465 cubic inches. The dimensions of the box need to be such that the length is 2 inches less than 3 times the width and the height is half the width. What is the height of the box that Sean is shipping? 14 inches 3.5 inches 7 inches 19 inches

Solve the following inequality algebraically. Express your answer using set notation or interval notation. Graph the solution set. Verify your results using a graphing utility. 5x-9=11 Express the solution in interval notation. 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 is the empty set.

A company designs a model pyramid with a square base that has side lengths equal to 5 inches and a height of 10 inches. To save costs in production, the lengths of the sides of the base are each reduced by one inch while the pyramid's height remains the same. What are the volumes of the original and the reduced size pyramids? Original volume: 53.3 cubic inches; Reduced volume: 30 cubic inches Original volume: 417.7 cubic inches; Reduced volume: 213.3 cubic inches Original volume: 83.3 cubic inches; Reduced volume: 53.3 cubic inches Original volume: 41.8 cubic inches; Reduced volume: 21.3 cubic inches

Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S - 1.7x = 5 gives the amount of sales (S) of statin in billions of dollars a years after 1998. According to this equation, how much will/did people in the U.S. spend on statins in the year 2013? Answer: People in the U.S. will spend billion dollars on statins in 2013.

Sam wants to build a toy box in the shape of a rectangular prism that will hold 36 cubic feet. If the height needs to be 1 foot less than the width and the length is twice the width, find the height of the toy box. Height of 2.5 feet Height of 2 feet Height of 3 feet Height of 4 feet

Find the average rate of change of g(x) = 4x³ + 2 from x = - 4 to x = 3.

A company wants to sell spherical piñatas and will use 3,000 square inches of material for each one. What will be the volume of each piñata in cubic inches? (Use 3.14 for π. Round to the nearest interger at the end of your work.) 1000 15,455 123,609 15.451

To calculate simple average, add all your scores and the sum by the number of exams. Your scores are 82, 75, 85 and 93 out of 100 maximum score. 1. What is your current average for the four exams?

The volume of a prism is given by the formula V = lwh, where I is the length, w is the width, and his the height of the pl a. Solve the formula for 1. b. A prism has a volume of 819 cubic feet, a width of 7 feet, and a height of 9 feet. What is the length of the prism rounded to the nearest foot?

Tell whether the lines are parallel, perpendicular, or neither. Line 1: (4,1) and (3,5) Line 2: (8,6) and (4, 5) Line 1: (-4,-5) and (9,3) Line 2: (3,5) and (-1,2)

How many terms are in this expression? -x³ + 2x² - 3x + 54 A.1 B. 2 C. 3 D. 4

During a 6-hour period, the air temperature at the zoo dropped by 48°F. If the temperature dropped at a steady rate, how much did the air temperature drop each hour? -6°F -12°F -48°F -8°F

Suppose you took 17 credit-hours this past semester, your third semester in college. You earned an A- in psychology (3 hours), a C+ in economics (3 hours), a B+ in chemistry (4 hours), a B in English (3 hours), and a B- in mathematics (4 hours). 8. a. Use the first four columns of the following table to record the information regarding the courses you took. As a guide, the information for your psychology course has been recorded for you.

What is the solution set? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The solution set is (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The solution set is Ø.

Solve the following system of equations using ELIMINATION. 2x + 2y = 34 3x - 4y = -89 Solution: x = y =

For the demand equation, express the total revenue R as a function of the price p per item. 9 = -4p + 80

For f(x) as given, write the domain of f. f(x)=x +4/3x - 15

Jacob went bowling over the weekend. On Saturday, he bowled at Bowlero, where he rented shoes for $3.25 and paid $3.75 for each game. On Sunday, he bowled at the Cowtown Bowling Center, where he rented shoes for $2.50 and paid $4.00 per game. If he spent the same amount each day, how many games did he bowl? (Let the number of games played = x.)

Nathan has 102 solid-colored.disks that are red, blue, and green. He lines them up on the floor and finds that there are 3 more red disks than blue and 6 more blue disks than green. How many red disks are there? A. 26 B. 29 C. 31 D. 35 E. 38

In a game, Theodore received a handful of coins (pennies, nickels, dimes, and quarters) as a prize. When he got home, he found that he had managed to get $2.09 in change. He noticed that he had three times as many pennies as dimes, one more nickel than dimes, and twice as many quarters as dimes. How many quarters did Theodore get in his prize? F. 4 G. 5 H. 6 J. 7 K. 8

Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = 3x - 6 (a) [0, 3] minimum (x,y)= maximum (x,y)= (b) [0, 3) minimum (x,y)= maximum (x,y)= (c) (0, 3] minimum (x,y)= maximum (x,y)= (d) (0, 3) minimum (x, y) = maximum (x, y) =

After a 25% reduction, you purchase a new television for $198.75. What was the price of the television before the reduction? A) First write an equation you can use to answer this question. Use a as your variable and express any percents in decimal form in the equation. The equation is B) Solve your equation in part [A] to find the original price of the television. Answer: The original price of the television was dollars.

Marco bought pens and pencils with his company's name and website address to give away to people at a festival. He bought a total of 300 pens and pencils together and spent $62.50. If pencils cost $0.15 each and pens cost $0.25 each, how many pens did Marco buy? A. 175 B. 165 C. 140 D. 130 E. 125

Select the correct answer from the drop-down menu. The two diagonals of an inscribed quadrilateral meet at the center of a circle. The quadrilateral must be a square rectangle rhombus trapezoid

Use only the commutative property of multiplication to rewrite the expression - 12(-15) and then simplify. (Hint: You may use either parentheses or an * to indicate multiplication. For example, multiplying 5 and 8 could be written 5(8) or 5*8.) Rewrite using the commutative property: The simplified expression is:

High levels of cholesterol in the blood increase the risk of heart disease. For 14-year-old boys, the distribution of blood cholesterol is approximately Normal with mean mu = 170 milligrams of cholesterol per deciliter of blood (mg/dl) and standard deviation sigma = 30 mg/dl. Estimate the percent of boys whose cholesterol is below 140

Find the average rate of change of g(x) = 2x³ - 4x² between x = -0.8 and x = 0.8. Enter the exact answer. The average rate of change of g(x) between x = -0.8 and x = 0.8 is i

For the function below, give the units for the Average rate of change=f(b)-f(a)/b - a The cost, C = f(w), in dollars of buying a chemical is a function of the weight bought, w, in pounds. The units are

Goro Unoji's job pays him $14.75 an hour for a 40-hour week. He estimates his fringe benefits to be 32% of his yearly wages. His yearly job expenses are estimated to be: union dues, $575; uniforms, $650; commuting costs, $1,294. a. What is Goro's total annual pay? b. What is the amount of his fringe benefits per year? c. What are his total yearly job benefits? d. What are his total yearly job expenses? e. What are his net yearly job benefits?

Rondo earns $3,750 per month. From those wages, $312 in federal withholding. $245.25 in Social Security, $59 in Medicare, $104 in state income taxes, and $23.75 in health insurance are deducted. Find the percentage of gross pay that Rondo takes home to the nearest percent.

Julio Zapata has a job that pays $2,816 a month. He estimates that his fringe benefits are 28% of his annual wages. He also estimates that his yearly job expenses are special tools, $847; union dues, $970; commuting costs, $1,602; uniforms, $450. a. What is Julio's total annual pay? b. What is the amount of his annual fringe benefits? c. What are his total annual job benefits? What are his total annual job expenses? e. What are his net annual job benefits?

Write the sentence as an equation. Let the variable x represent the number. Six less than 5 times a number gives 24.

Ivana Nagy's purchases include a $39.95 blanket, a $24.95 miniblind, an adjustable screen for $15.95, and a 12-foot, eight-outlet power strip for $9.49. The purchases were made in Massachusetts, where the tax rate is 5%. What are the (a) sales tax and (b) total selling price?

Consider the following function. f(x) = (8 - x)(x + 1)² (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x= (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative minimum (x, y) =

Solve and check the following linear equation. 7x-(3x-8)=36 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is. (Type an integer or a simplified fraction.) B. The solution set is {x|x is all real number). C. The solution set is Ø.

Find the derivative of the function. y = 8(5-x²)7

Tomika uses 6 1/9 inches of wire to make a necklace and 3 1/3 inches of wire to make a bracelet. How many necklace and bracelet sets can she make if she uses 28 1/3 inches of wire in all? Enter your answer in the box.

Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator (or computer) to check your work by graphing the curve and estimating the asymptotes. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)

Use the domain and range of each of the following relations to determine which is a function. {(-4, 3), (-2,-1), (-4, 8)} {(-4, 3), (-2, -1), (-7, 8)} (-4,-2, -7,7} {(-4, 3), (-2, -1), (-2, –8), (-7, 8)}

Find the derivative of the function. f(x) = x³ - 7x² + 6 / x²

Find the second derivative of the function. f(x) = 7x^3/2

a. Rewrite the equation 3x+y+4= 0 in slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function. a. The slope-intercept form of the equation is y=-3x-4 (Simplify your answer. Use integers or fractions for any numbers in the equation.) b. The slope of the equation of the line is -3 and the y-intercept is (Type integers or fractions.) c. Use the slope and y-intercept to graph the line.

The hard drive on your computer has a capacity of 160 gigabytes (GB). You have used 122 GB. You want to save some home videos to your hard drive. What are the possible sizes of the home video collection you can save? If u represents the amount of space used, write an inequality that determines a, the amount of space available.

The 1st, 5th, and 13th terms of an arithmetic sequence, with common difference d, d # 0, are the first three terms of a geometric sequence, with common ratio r, r ≠ 1. Given that the 1st terms of both sequences is 12, find the value of d and the value of r.

Blake bought a new car and financed $15,000 to make the purchase. He financed the car for 48 months with an APR of 4.5 %. Assuming he made monthly payments. determine the total interest Blake paid over the life of the loan. Round your answer to the nearest cent, if necessary.

Stimulus 4.1 Understanding Systems, Substitution Method Use the system of equations below to answer the following questions. 2x + 3y = 15 x - 3y = 3 Using the equation you chose from part 1, rewrite the equation isolating the variable you determined was the easiest to isolate.