Basic Math Questions and Answers

There is a circular track that surrounds a patch of grass. The radius from the grass to the track is 23 feet. How many feet long is the track? Your answer should be a number only. Use 3.14 for pi. Round your answer to the nearest hundredth.

You want to put edging around your above ground rectangular pool. The dimensions of the pool are 22 ft. by 27 ft. How many feet of edging do you need to purchase to surround the pool? Your answer should be a number only.

Jose' holds a rock 1m above the ground. The rock has 100J of PE and 0 KE while she holds the rock. Which of the following is true if Becky drops the rock? * Electrical Energy It's impossible to tell without knowing the rock's mass. The rock will have OJ of PE and 100J of KE right before it hits the ground. a

Johnny can build 3 1/2 lego planes in 60 minutes. How many can he build in 40 minutes?

A telecommunications company is building a third cell tower in a region with existing towers located at A(-2,-3) and B(5,-3). Each unit in the coordinate plane represents 0.6 mile. They ask you to determine the location of the third tower so that the triangle formed by the three cell towers has an area of about 10.1 square miles and a perimeter of about 15 miles, and the distance from the third tower to tower A is about 6 miles. Estimate the coordinates of the third tower to the nearest integer.

A swimming pool is being filled at the rate of 12 cubic yards per minute. If the pool is 18 yards long, 10 yards wide, and 3 yards deep, how many minutes will it take to fill the pool? 540 minutes 101 minutes 1,233 minutes 45 minutes

Using the formula A = ½bh for the area of a triangle where b is the base and h is the height, find the area of a triangle whose base is 12 units and whose height is 24 units. Enter only the numeric value with no letters or =.

For the polynomial function f(x) = .5x³ + .25x2 + .125x+ .0625, find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept. x = .5, cross x = .5, touch x = -.5, touch x = -.5, cross

The number of bacteria in a certain sample Increases according to the following function, where y0 is the initial number present, and y is the number present at time t (in hours). y=y0e^0.05671 How many hours does it take for the size of the sample to double? Do not round any Intermediate computations, and round your answer to the nearest tenth.

Anthony owns a small business selling bagels. He knows that in the last week 3 customers paid cash, 33 customers used a debit card, and 34 customers used a credit card. Based on these results, express the probability that the next customer will pay with cash as a fraction in simplest form.

Julie is asked to solve the system below by elimination. Which of the following steps would be the best way to begin? 2x+y=-3 ? 3x-2y = 2 A. Multiply 1 by 2 and multiply by 3 B. Multiply 2 by 2 C. Multiply 1 by 2 D. Multiply 2 by 2 and multiply 1 by -2

Cost to store: $65 Markup: 25% 40% Sale Price Sale Price: $48 Selling Price: $81.25

A group of biologists is surveying the mice population in a forest. The equation n = 75.3¹ gives the total number of mice, n, t years since the survey began. Explain what the numbers 75 and 3 mean in this situation.

You just bought a new car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11 ft. by 6.5 ft., how many square feet of concrete do you need to pour? Your answer should be a number only. Do not round.

When Xochitl runs the 400 meter dash, her finishing times are normally distributed with a mean of 84 seconds and a standard deviation of 2.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of her finishing times in the 400 meter race.

In a right triangle the two legs have measurements of 12 inches and 15 inches. Use the Pythagorean theorem to calculate the length of the hypotenuse. 12.96 inches 5.2 inches 19.21 inches 340.00 inches 28.54 inches

Suppose that the functions and g are defined as follows. ƒ(x)= 5/x+1 g(x)=6/x Find f/g. Then, give its domain using an interval or union of intervals. Simplify your answers.

You buy a tarp to cover the driveway when it snows. The dimensions of your driveway are 10 ft. by 15 ft. If the tarp covers your entire driveway, how many square feet are covered? Your answer should be a number only.

Use the Factor Theorem to determine whether x-2 is a factor of P(x) = -2x³ + 3x²-3x+10. Specifically, evaluate P at the proper value, and then determine whether x-2 is a factor.

Find the difference quotient f(x+h)-f(x)/h, where h≠0, for the function below. f(x) = 3x² - 4

Complete the statement: If two polygons are similar, then their corresponding (1)__ are congruent and their corresponding__(2)____ are proportional. 1) Sides; 2) Areas 1) Angles; 2) Areas 1) Angles; 2) Sides 1) Sides; 2) Angles

Given that sinθ= 35/37 and cosθ <0, determine the values of the sine and cosine functions for 2θ sin2θ = (Type an integer or a simplified fraction.)

The Eiffel Tower, shown to the right, has a width of 328 feet and a height of 984 feet. Maria is designing a T- shirt for her trip to France and she wants to put a picture of the Eiffel tower on the front of the shirt. The maximum space she can use on the shirt is a rectangle with a width of .75 feet and a height of 1.5 feet. Maria uses a sclale factor of 1/k where k is an integer, to shrink the Eiffel Tower and fit it on the t-shirt. What is smallest possible value for k?

Let (-4,-3) be a point on the terminal side of θ. Find the exact values of cos θ, sec θ, and cot θ.

A machine produces 255 bolts in 24 minutes. At the same rate, how many bolts would be produced in 40 minutes?

Kuro has a stack of 15 coins on a table with a volume of 8 cubic centimeters. He has stacked them perfectly straight creating a cylindrical shape. He accidentally bumps the table, causing the coins to shift to a leaning position; but are still stacked. What would be the best estimate of the volume of the stack once it has been bumped/shifted? The volume cannot be calculated 8 cubic centimeters 9 cubic centimeters 7 cubic centimeters

The average cost per DVD, in dollars, for a company to produce x DVDs on exercising is given by the formula A = 8x + 300/x, where A is the average cost per DVD and x is the number of DVDs produced. Complete parts a through c. a. Find the cost for producing 1 DVD. The average cost for producing 1 DVD is $ 308 (Simplify your answer.) b. Find the average cost per DVD for producing The average cost for producing 100 DVDs is $ 100 DVDs. (Simplify your answer.)

If a right triangle has two legs which have measurements of 12 inches and 14 inches, the length of the hypotenuse is inches. Use the Pythagorean theorem to calculate the length of the hypotenuse. Round answer to the nearest one hundredth.

A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine. What is the weight of a patient who requires 200 milligrams of medicine?

A company makes steel rods shaped like cylinders. Each rod has a diameter of 6 centimeters and a height of 20 centimeters. If the company used 45,781.2 cm of steel, how many rods did it make? Use 3.14 for π, and do not round your answer.

Find the exact value of sin (sin(-π/6) Write your answer in radians in terms of π.

California's growth rate in 2013 was 0.9%. There were roughly 38 million people living in California that year. Assuming the growth rate is stable, which equation models the population P, in millions, t years after 2013?

A tepee in the shape of a right cone has a slant height of 18.5 feet and a diameter of 20 feet. Approximately how much canvas would be needed to cover the tepee? 116 sq ft 58 sq ft 89 sq ft 58 sq ft

Find the difference quotient f(x+h)-f(x)/h f(x)=1/x+6 Simplify your answer as much as possible.

Use a calculator and evaluate A to the nearest cent. A=$15,000 e 0.04t for t=2, 7, and 10 Ift=2, A-$

Find the difference quotient f(x+h)-f(x)/ h,where h0, for the function below. f(x) = -4x²-3x+1 Simplify your answer as much as possible.

Find the difference quotient f(x+h)-f(x)/h where h0, for the function below. f(x)=6x-7 Simplify your answer as much as possible.

Chris is super hungry and wants to eat an entire pizza. The radius of the pizza is 6 inches. If Chris eats the whole pizza, how many square inches did he consume?

For the polynomial below, 2 is a zero. h(x)=x³ + 4x²8x - 8 Express h (x) as a product of linear factors.

A car is purchased for $43,000. Each year it loses 30% of its value. After how many years will the car be worth $5400 or less? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (4, -3). What is the vertex of the function defined as g(x) = f(x) - 3?

There is a sales tax of $15 on an item that costs $153 before tax. A second item costs $81.60 before tax. What is the sales tax on the second item?

At a school dance, tickets are sold at the door and each ticket is the same price. The amount of money the school makes from the dance is equal to the total amount of money collected from ticket sales minus the total cost of the DJ and decorations. For this dance, the total cost is fixed and is not dependent on the number of tickets sold. If 75 tickets are sold, the school loses $150. If 100 tickets are sold, the school makes $100. What is the total cost of the DJ and decorations? $250 $300 $900 $1,000

The number of milligrams D (h) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is given by the following function. D(h)=50e-0,25h When the number of milligrams reaches 33, the drug is to be injected again. How much time is needed between Injections? Round your answer to the nearest tenth, and do not round any Intermediate computations.

When the county fair opened its gates, 68 people entered the fairgrounds. After one hour, there were 1.5 times as many people on the fairgrounds as when the gates opened. After two hours, there were 1.5 times as many people on the fairgrounds as the previous hour. If this pattern continues, write the equation representing the number of people, y, at the fair x hours after the gates open.

Find the surface area of a sphere that has a circumference of 20π cm,, in terms of square centimeters.

Find the volume of a pyramid with a square base, where the side length of the base is 18.5 in and the height of the pyramid is 10.9 in. Round your answer to the nearest tenth of a cubic inch.

You are building a rectangular flowerbed for your back yard. The flowerbed will surround the flowers and sit on the ground. The ground where you want to plant the flowers is 4 ft. by 7 ft. How many feet of boards will you need to build the flowerbed? Your answer should be a number only.

What is the volume of a hemisphere with a radius of 4.8 ft, rounded to the nearest tenth of a cubic foot?

You want to build a sandbox for your little brother. You know you need to buy wood to frame the outside of the box. If the dimensions of the box will be 6 ft. by 8 ft., how many feet of lumber will you have to buy? Your answer should be a number only.