Basic Math Questions and Answers

Given f(x) is a polynomial function and the remainder for the quotient of true. A. The binomial (x + 2) is a factor of f(x). B. The binomial (x + 2) is not a factor of f(x). C. f(9) = 2 D. f(9) = -2 E. f(2)=9 OF. f(-2) = 9 f(x) x+2 is 9. Select all of the following statements that must be

Yolanda estimated the length of a room is her house to be 13 ft. The actual length of the room is 12 ft. Find the absolute error and the percent error of Yolanda's estimate. If necessary, round your answers to the nearest tenth. absolute error t percent error =

2) Order (4 or 5 fractions; least to greatest vs greatest to least is up to you)

Karen is estimating the volume of her bathtub. The actual volume of her bathtub is 44 gal. Karen's estimate is 48 gal. Find the absolute error and the percent error of Karen's estimate. If necessary, round your answers to the nearest tenth. absolute error gal = percent error = X S ?

Given f(x) = 8x and g(x)=3x² +6, find the following expressions. (a) (fog)(4) (b) (gof)(2) (c) (fof)(1) (d) (gog)(0) (a) (fog)(4) = (Simplify your answer.)

Solve the following system of equations by graphing. y = x - 1 y = - 2x + 8 Identify the type of system. O Exactly one solution: O Infinite solutions O No solution Solve the following system of equations by graphing.

There are 7 erasers in a set. Grace buys 9 sets. After giving some erasers away, Grace has 35 erasers left. How many erasers did she give away? 4 Solve on paper. Then, check your answer on Zearn. ➡ Grace gave away erasers.

The population of Nigeria can be modeled by the function P(t) = 279(1+0.0251)* where P(t) measures the population in millions and t represents the number of years since 2000. 1. Using this model, what was the population of Nigeria in 2006? 2. Predict the population of Nigeria in 2025. 3. If this growth rate continues, in what year will the population of Nigeria reach 2 billion people? Note: You can earn partial credit on this problem.

Damonii and Adrian have new jobs at Ms. Battle's Cotton Candy Confectionary. Damonii is Adrian's manager. In their first year, Damonii will be paid $20 per hour, and Adrian will be paid $11 per hour. They have been told that after every year with the company, they will each be given a raise of $4 per hour. Is the relationship between Damonii's pay and Adrian's pay rate proportional? Explain your reasoning using a table.

Rewrite the distance formula to solve for y₁. SOA. OB. 3₁ = √√√d² - (1₂ - 1)² - y₂ 3₂ - √d² - (x₂ - 1₂) ² 32 1 = OC. ₁ = OD. 3/₁ = 2 - 2 - 1 + 3₂ - - d ₁ + 3₂ - ² d = √(21)²+(2-31)

A ship is sailing due north. At a certain point, the bearing of a lighthouse 3.3 km away is N38.3°E. Later on, the captain notices that the bearing of the lighthouse has become $32.3°E. How far did the ship travel between the two observations of the lighthouse? The ship travelled km between the two observations. (Do not round until the final answer. Then round to the nearest tenth as needed.)

Find the domain of the function f(x)=√x - 2. Write your answer in interval notation.

Solve the problem. 25) A straight trail with a uniform inclination of 11° leads from a lodge at an elevation of 800 feet to a mountain lake at an elevation of 7400 feet. What is the length of the trail (to the nearest foot)?

22 What is n NOR n (nn) when n = 1 and when n = 0? On NOR n is 1 when n = 1 and 0 when n = 0 On NOR n is 1 when n = 1 and 1 when n = 0 rn NOR n is 0 when n = 1 and 1 when n = 0 n NOR n is 0 when n = 1 and 0 when n = 0

A printer prints 2 photos each minute. Let P be the number of photos printed in M minutes. Write an equation relating P to M. Then graph your equation using the axes below. Equation:

For a certain endangered species, the goal is to have 900 breeding adults in the wild by 2023. If progress toward this goal continues, the population of breeding adults in the wild in year x can be approximated by P(x) = 74 e 0.15x, where x = 12 corresponds to the year 2012. Use this model to find the following. (a) P(16) (b) P'(x) and P'(16) (c) Interpret the answers in parts (a) and (b). (a) P(16)= 816 (Round to the nearest integer as needed.) 0.15x (b) P'(x)= 11.1 e P'(16)= (Round to the nearest integer as needed.) *****

=. A track is to be constructed around the football field at a junior high school. If the straightaways are 100 yd in length, what length of radius is needed for each of the semicircles shown if the total length around the track is to be 440 yd? 100 yd 100

58. In 1988, Winchell's House of Donuts in Pasadena, California, made the world's largest donut. It weighed 5000 pounds and had a circumference of 298.3 feet. What was the donut's diameter to the nearest tenth? (Hint: С=лd)

The speed of light is 3 × 108 m/s. If a star is 51, 000, 000, 000, 000 meters from Earth, how many seconds does it take light to travel from the Earth to the star? Enter your answer in scientific notation.

A 9-microgram sample of a radioactive isotope decays to 7.61 micrograms in 7 min. What is the half-life of the radioactive isotope, in minutes? Use the exponential decay equation A = Ao where A is the amount of a radioactive material present after time t, k is the half-life of the radioactive material, and Ao is the original amount of radioactive substance. (Round your answer to two decimal places.) (¹) t/K, min

Solve the triangle. a=8.953 in c=6.808 in B=75.17° What is the length of side b? in (Round to the nearest thousandth as needed.) What is the measure of angle A? (Round to the nearest hundredth as needed.) What is the measure of angle C? (Round to the nearest hundredth as needed.)

You plan to bake "apple crisp" for a dinner party you are hosting. Your recipe serves four people. The recipe calls for teaspoon of cinnamon. How much cinnamon will you need if make the apple crisp large enough to serve ten people? Please use an algebraic approach to determine your solution. you 4

S Evaluate the integral 2 40 x² + 4 -dx. Your answer should be in the form k, where k is an integer. What is the value of k? Hint: k = (b) Now, lets evaluate the same integral using power series. First, find the power series for the function 40 f(x): ao || - x² + 4 S. S should be an infinite series. What are the first few terms of S ? a1 = a2 = darctan(x) dx a3 = a = 1 x² + 1 - . Then, integrate it from 0 to 2, and call it

A boy weighs a pounds. His younger sister weighs 53 pounds less than him. His father weighs four times as much as his sister. A simplified expression that represents the father's weight (in pounds) is

A financial advisor recommends that a client deposit $2700 into a fund that earns 7.5% annual interest compounded monthly. What will be the value of the investment after 9 years? Use the compound interest formula P = A(1 + i)", where A is the original value of an investment, i is the interest rate per compounding period, n is the total number of compounding periods, and P is the value of the investment after n periods. Round to the nearest cent.

A 40-year-old man in the U.S. has a 0.247% risk of dying during the next year. An insurance company charges $250 per year for a life-insurance policy that pays a $100,000 death benefit. What is the expected value for the person buying the insurance? Round your answer to the nearest dollar. Expected Value: $ for the year

Find and simplify each of the following for f(x) = 5x² − 7x + 6. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h (A) f(x + h) = (Do not factor.) (B) f(x+h)-f(x) = (Do not factor.) f(x+h)-f(x) h (C) a (Do not factor.)

This exercise uses the radioactive decay model. If 250 mg of a radioactive element decays to 230 mg in 48 hours, find the half-life of the element. (Round your answer to the nearest whole number.) hr

16. Adrienne answered all 21 multiple-choice questions correctly on her science test. If her teacher decided to let one of the questions count as a bonus, worth the same number of points as the other problems on the test, what was Adrienne's test score? Write your answer as a decimal and as a percent.

A plumber needs to cut pipe into short sections for a project. The plumber needs meter for each piece that is cut. Draw a picture to show how many nieces of pipe will be cut from a pipe that is 10 meters long.

Florence School's spring festival is coming up, and Ms. Gardner is in charge of ordering the seed kits again. She knows she ordered 5 cases of seed kits last year but can't remember how many kits come in a case. When she checks the records, Ms. Gardner finds that the school used 396 of the seed kits last year and had 54 left over after the festival. Which equation can Ms. Gardner use to find how many seed kits, s, come in each case? 5s 396 = 54 - 5(s 396) = 54 - 396(s 5) 54 - 396s 5 54

Jada has $200 to spend on flowers for a school celebration. She decides that the only flowers that she wants to buy are roses and carnations. Roses cost $1.45 each and carnations cost $0.65 each. Jada buys enough roses so that each of the 75 people attending the event can take home at least one rose. a. Write an inequality to represent the constraint that every person takes home at least one rose. b. Write an inequality to represent the cost constraint.

At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. What is the ratio of juniors to seniors at 2:00 p.m. in fraction form? Provide your answer below:

Which of the statements are true? 6 x 326 (3+2) = 6 (3) +6 (2) 3x 87-3 (80 + 7) = 3 (80) +3 (7) 12 (48) 12 (40 + 8) = 1 (40) + 2 (8) O14 (75) 14 (70+5) = 14 (70) + 14 (5) 9 (56) 9 (50+60) = 9 (50) + 9 (60) #

Drag each tile to the correct box. Match the text structure to the appropriate author's purpose. description problem-solution cause-effect to describe important facts and details about the Declaration of Independence to recount why students can no longer carry backpacks and the impact it has on students to inform readers about the trouble with excessive screen time and possible ways to reduce it 10

42. The radius of the Ferris wheel's circular path is 40 ft. If a "ride" of 12 revolutions is made in 3 minutes, at what rate in feet per second is the passenger in a cart moving during the ride? Merideth Book/Shutterstock

5. MANUFACTURING It takes 3 hours to build an arm chair and 2 hours for a side chair. Finishing an arm chair requires 2 hours, while a side chair requires 1 hour. There are 18 hours available for building and 10 hours available for finishing. Set up and solve a system of equations to determine how many of each chair can be made.

A tennis player keeps track of the number of successful first serves he makes. During the first 8 service points of a game, only 2 of his first serves are playable, so his first serve percentage is 25%. How many more consecutive successful first serves must he have to raise his first serve percentage to 60%?

You roll a standard die. (Enter your answers as comma-separated lists.) (a) What are the possible outcomes? (b) What are the favorable outcomes for the event of rolling an odd number? (c) What are the favorable outcomes for the event of rolling a number less than 3?

Complete the square to form a true equation. x² x2 2 z(¯¯¯ + x) =¯¯¯¯ + x ² + z( + x) = + x² 2 (Type a simplified fraction.)

There are three $20 bills, six $10 bills, seven $5 bills, and four $1 bills in your wallet. You select one bill at random. What is the expected value for this experiment? $ Need Help? MY NOTES Read It AS

Molly Hamilton deposited $70,000 at Bank of America at 20% interest compounded quarterly. What is the effective rate (APY)? (Use the Table provided.) (Do not round intermediate calculations. Round your answer to the nearest hundredth percent.)

7. Jennifer wants to borrow $20,000. Her bank offers a 7.1% interest rate. She can afford $500 a month for loan payments. What should be the length of her loan to the nearest tenth of a year?

Part 3: Hitting the baseball over the lights Meanwhile at the ballpark Juan was practicing his hitting while talking to the girls standing around watching. He started telling them how he hit the ball over the 50 foot light tower yesterday. The girls were unsure that he really did that. The formula for this hit is: h(x) = -16x² + 60x+4 where h is the height of the ball and xis the number of seconds the ball is in the air. A. How can Juan provide proof to the girls that he actually hit the ball over the tower? I B. How high did Juan actually hit the ball?

The function f(x) = (2)(1.0)+x(0.5)/2+x models the concentration of pineapple when 2 gallons of pineapple juice are added to x gallons of another juice. Find the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice. Give the answer as a percent but do not include the percent sign (%).

Travis borrowed $5,000 at an interest rate of 1.10% p.m. for 6 months. Calculate the maturity value of the loan at the end of the period. No written response required.

The following table shows the distribution of family size in a certain U.S. city Family Size 234567 What is the expected number of family members for a family in this city? 6.1 0.442 4.5 Probability 0.405 0.239 0.203 0.097 0.040 0.016 3.2

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 115 miles per hour. The westbound train travels at 95 miles per hour. How long will it take for the two trains to be 294 miles apart? Do not do any rounding. hours

Bank A is lending money at 5.35% interest compounded quarterly. The rate at Bank B is 5.4% compounded annually, and the rate at Bank C is 5.3% compounded monthly. Which bank will you pay the least interest? Choose the correct answer. Bank B Bank C Bank A .……..

(1 pt) The production rate rifor an oil well in barrels/day is modeled by r(t) = 190e-0.2 where fl is the number of years the well has been in production. Find the total oil production in the first 5 years of operation. Total production = barrels