Basic Math Questions and Answers

Consider the function f(x) = 4x³ - 10x² - 2x - 9. Step 2 of 2: Interpret the meaning of f'(6) = 310. The slope of the curve at x = 6 is 310. The slope of the secant line from f(0) to f(6) is 310. The average rate of change from x = -6 to x = 6 is 310. The value of the function evaluated at x = 6 is 310.

A store ordered 650 candles at a total wholesale cost of $7,349.02. The soy candles cost $12.79 each and the specialty candles cost $10.05 each. How many of each type of candle were ordered? The store ordered ___soy candles and ___specialty candles.

A local farmer is planting crops on his 30 acre farm. He wants to plant at least 10 acres of com and at least 5 acres farmer believes he can make a profit of $80 per acre profit on the com and a profit of $60 per acre on the soybeans. The farmer wants to maximize profit. Which of the following is NOT a constraint in this situation? x + y ≤ 30 x ≥ 10 y25 P= 80x + 6y

The radius and height of a right-circular cylinder are increasing at the rate of 0.5 in./sec and 0.6 in./sec, respectively. When the radius is 8 in. and the height is 13 in., How fast is the volume of the cylinder increasing? (Round your answer to two decimal places.)

Select the correct equation with the following characteristics: A polynomial function with only one real zero and 4 imaginary zeros. y=-x³+4x³ y = − x²(x − 9)² y=(x-4)² (x² - 4x + 3) y = (x³ + 1) (x²+4)

Jenny bought 3.5 pounds of peanuts for $12.60. Her friend buys 6.25 pounds of walnuts for $23.75. Which is less expensive per pound? By how much? a. peanuts; $0.20 b. peanuts; $0.40 c. walnuts; $0.20 d. walnuts; $0.40

ALGEBRA Find the value of x and BC if B is between C and D. CB = 4x-9, BD = 3x + 5, and CD = 17 CB = 2x, BD = 4x, and BD = 12

A 150-pound person uses 6.7 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 230 calories? A person must walk for at least minutes in order to use at least 230 calories.

Identify the Gerund in the following sentence: Getting up early in the morning is sometimes a challenge. A. getting B. is C. challenge

The bus routes in a city run on average every 15 minutes. The route times can vary by three minutes. Which absolute value equation can be used to find the maximum and minimum wait times at a bus stop?

In isosceles triangle DAC, AD is congruent to AC. Kiran knows that the base angles of an isosceles triangle are congruent. What additional information does Kiran need to know in order to show that AB is a perpendicular bisector of segment CD? DB=BC Segment AB bisects <DAC Segment AB is perpendicular to segment DC All of these None of these

Suppose f(x) represents trucks built for input x in labor units. Step 1 of 2: Interpret the meaning of f(200) = 800.

Cones and Candy sells candy as well as snow-cones. Roberto uses paper cone cups to fill the snow cones that have a volume of 12.8 cubic inches. If the height of the cone is 4 inches what is the diameter? Use 3.14 to approximate pi. 3 inches 3.5 inches 1.75 inches 1 inch

Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to four decimal places when necessary.) through (1, 4) and (4, 0.5)

Express the gross salary G of a person who earns $22 per hour as a function of the number x of hours worked. The gross salary G of a person who earns $22 per hour expressed as a function of the number x of hours is (Type an expression using x as the variable.)

A gas at temperature T, pressure P with volume V satisfies the gas equation PV = KT where K is a constant that depends on the gas. a. Express volume in terms of pressure and temperature. b. Express pressure in terms of volume and temperature. WebWork tip: Keep letters upper case: p is not the same as P. Need help? Links to the Online Math Lab: OML links for High School Math Review

The number of home runs per game in Major League Baseball can be approximated by the function f(x) = 0.017x + 0.61, where x is the number of years after 1977 and corresponds to one year of play. Step 1 of 2: What is the value of f (22) and what does it represent? What does f (22) represent? The average change between 1977 and 1999 for the expected number of home runs per game is f(22). The rate of change in expected home runs per game was f(22) in 1999. The total change between 1977 and 1999 for expected home runs per game is f(22). The expected home runs per game was f(22) in 1999.

Anthony drew a pentagon with each side measuring 6 inches. Carol drew a hexagon with each side measuring 5 inches. Which shape has a greater perimeter? Write an equation to help explain your answer.

Solve the equation using the quadratic formula. 2x²-13x-2=0 The solution set is.

For the equation given below, complete parts a through c. - 9x + y = 0 a. Put the equation in slope-intercept form by solving for y. b. Identify the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is. B. The slope is undefined. Identify the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept is B. There is no y-intercept.

Water flows from a storage tank at a rate of 300 - 7t liters per minute. Find the amount of water that flows out of the tank during the first 14 minutes.

Susan Marciano invested part of her $13,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $910. The amount invested at 10% is $ The amount invested in stock is $

Use the Law of Detachment to draw a logical conclusion from the two given statements. If not possible, choose not possible. If it is sunny, then I will have a picnic. Today it is sunny. I will have a picnic today. I am having a picnic, it must be sunny. If it is not sunny, then I will not have a picnic. not possible

Determine whether the equation defines y as a function of x. y= 1/X Does the equation define y as a function of x? Yes No

A total of $7000 is invested: part at 6% and the remainder at 10%. How much is invested at each rate if the annual interest is $520?

Supply a valid technology formula for the given function. 2^-5x 24-5*x 2^(-5*x) 2^x-5 (2^-5)*x

Marina rend a drone and model airplane at the Auto-Models for Teens. The following system represents the hours she rented the drone and the model plane and the total amount spent for rental. In the system, d represents the number of hours she rented the drone and a represents e number of hours she rented the model airplane. Which of the following statements are true? True or False d+ a = 8 80d +50a = 580 Marina rented the drone and model airplane for a total of 8 hours. The charge to rent a drone is $80 per hour. Te charge to rent model airplane is $610 per hour. Merina spent $130 at Auto-Models for Teens on renting the drone and model airplane. Mrina rented the drone for 7 hours. Mrina rented the model airplane for 2 hours.

Cooper's wallet is full of $5 and $10 bills. He has 25 bills totaling $230. How many of each bill does he have? Let x represent the number of five-dollar bills and let y represent the number of ten-dollar bills. A) Write a system of equations for this problem: B) Solve the problem on paper. C) What is the solution to the system of equations:

A metallurgist has one alloy containing 38 % copper and another containing 58 % copper. How many pounds of each alloy must he use to make 51 pounds of a third alloy containing 55 % copper? (Round to two decimal places if necessary.)

Solve the inequality. Graph the solution set. - 5+x≤1

Which sentence below correctly uses the infinitive to read? A. The only way we could assemble the unit correctly was to read the entire set of instructions. B. The teacher told the students to, if they wanted to understand a text, read it closely for meaning. C. If taking a test, it is important to, before answering a question, read the instructions carefully, D. Sal didn't have time to, since the class was over, read the assignment that was due tomorrow,

Classrooms on one side of the drama building are all numbered with consecutive even integers. If the first room, the room with the smallest classroom number, on this side of the building is numbered y, write an expression in y for the sum of the first seven classroom numbers in a row. Then simplify this expression. The sum of the first seven classroom numbers in a row is

Sally invested some money at 15 % interest. Sally also invested $172 more than 3 times that amount at 14%. How much is invested at each rate if Sally receives $1398.35 in interest after one year? (Round to two decimal places if necessary.)

Which type of nonfiction should be used to share your research on a prominent scientist and her contributions to the study of genetics? A. memoir B. personal essay C. biography

Determine an equation to represent the surface area of a cylinder in terms of the height given that the radius is equal to ½ of the height.

Let (-5, 6) be a point on the terminal side of θ. Find the exact values of sin θ, csc θ, and cot θ.

A local Barnes and Noble bookstore ordered 80 marketing books but received 44 books. What percent of the order was missing?

There were some green and blue pens in a box. If 27 green pens were taken out of the box, there would be 1/3 as many blue pens as green pens. If 40 blue pens were added into the box, there would be many pens were there in the box? as many blue as green pens. How

A dairy needs 258 gallons of milk containing 7% butterfat. How many gallons each of milk containing 8 % butterfat and milk containing 2% butterfat must be used to obtain the desired 258 gallons? Answer How to enter your answer (opens in new window) gallons of milk containing 8 % butterfat gallons of milk containing 2% butterfat

A good, open-ended question for an interview A. has a "yes" or "no" answer. B. gets the person you are interviewing to open up and talk about anything that comes to his mind. C. gets the person you are interviewing to open up and talk about the topic of the interview.

Use the intersection-of-graphs method to approximate the solution of the following equation to the nearest hundredth.

Which answer best describes the following text? A baseball coach gets cut from his community baseball team. A. verbal irony B. situational irony C. sarcasm D. dramatic irony

The total number of births in an average woman's lifetime in Thailand can be approximated by the function f(x) = -0.121x + 5.55, where x is the number of years after 1970 and corresponds to the woman's year of birth. Step 1 of 2: What is the value of f(28) and what does it represent?

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Enter your answers as a comma-separated list.)

Suppose the U.S. Census Bureau projects the population of Nevada to be 2 million in 2000 and 3.1 million in 2020. Assuming the population growth is linear, Use t years since 1995 and p the population of Nevada in millions. According to your linear model, what is the population of Nevada in 2030? (Round your final answer to two decimal places}

Stephanie swims laps every day. The number of laps she swims is directly proportional to the time in minutes. If the constant of proportionality for this relationship is then how many laps can she swim in 57 minutes? A) 171 laps B) 3 laps C) 19 laps D) 27 laps

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. a. What scale is being used for the image? b. How tall is the actual book?

Fill in the blank. The domain of g(x)= 3/X+2 consists of all real numbers except -2, represented in interval notation as

Carlos needs $8078 for a future project. He can invest $7000 now at an annual rate of 9,8%, compounded semiannually. Assuming that no withdrawals are made, how long will it take for him to have enough money for his project? Do not round any intermediate computations, and round your answer to the nearest hundredth.

A bus makes a stop at 2:30, letting off 14 people and letting on 2. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop? There a