Basic Math Questions and Answers

Suppose that the cost for manufacturing n desks is C dollars, so we have C = f(n). Which of the following statements is the best interpretation of 2 f(n)? The cost, in dollars, of manufacturing twice as many desks. The cost, in dollars, has doubled for manufacturing n desks. The cost, in dollars, for manufacturing half as many desks. The number of desks has doubled. The cost, in dollars, for manufacturing n desks has been cut in half.

Evaluate the expression with the given replacement values. 8 7x2; x = -3 7x² O A. O B. O C. O D. - 4 21 8 63 4 21 8 63

Internet tax: The Gallup Poll asked 1031u.S. adults whether they believed that people should pay sales tax on items purchased over the internet. Of these, 443 said they supported such a tax. Does the survey provide convincing evidence that less than 45% of U.S. adults favor an internet sales tax? Use the a= 0.05 level of significance. Part: 0/5 Part 1 of 5 State the appropriate null and alternate hypotheses. Ho: H₁: This hypothesis test is a (Choose one) test. O<0 0>0 0-0 X P S

Use polynomial long division to write each of the following ratios in polynomial and r is the remainder. (a) (c) x² - 6x +11 x-4 3x² +17x+25 x+4 (b) (d) x²+2x-25 x+7 5x²-41x+3 x-8 x-a form, where q(x) is a

Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer!

pose that the distribution of scores of 1,000 students who take a standardized intelligence test is a normal distribution. Also suppose that the distribution's mean is 450 and its standard deviation is 25. a) How many scores do we expect to fall between 400 and 500? b) How many scores do we expect to fall below 400? a) It is expected that score(s) fall between 400 and 500. (Round to the nearest whole number as needed.) .....

. Atmospheric pressure decreases by about 12% for every 1000 meters you climb. The pressure at sea level is about 1.013 bars. a. Construct a model to represent the atmospheric pressure at a given altitude in thousands of meters.

rt (a) Use the model A-Pet to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent. Avoid rounding in intermediate steps. The average rate of return under continuous compounding is approximately %. X

Find the focus and directrix of the parabola with the given equation. x = 6y² O focus: (1,0) directrix: x = - O focus: (4,0) directrix: x = O focus: (0,1) focus: s: (,0) directrix: y = - 4 24 1/6 directrix: x = 2/ 1 24

Curt and John play one basketball game every night of the week. Each night's game is won by either Curt or John; there is no draw. The probability that John wins any game is 0.75 and the result of each game played is independent of any other game played. Let X denote the number of games won by John. Find the expression showing the probability that Curt wins exactly 2 games out of 7?

If a, b, c are real and a² + b² + c²= 1, then ab + bc + ca lies in the interval: 1 (A) (B) [0, 2] 9[-2] ON (D)

Where does the tangent line to y = e* at x = 1 cross the y-axis? At x -

The area of a rectangular living room is 300 square feet. The length of the room is 10 feet less than twice the width. What is the width of the living room in feet? Do not include units in your answer. Provide your answer below:

I want to buy a car, but I have two options. Option 1: I can pay it off over 6 years at an interest rate of 3.8%. Option 2 I can pay it off over 7 years at 2.5%. What would the payment for each of those be? Which option would cost me more over time?

Solve the exponential equation by using the property that b = by means that x = y whenever b> 0 and b 1. 2x-1 A= = 9 25

Use the pop up below to find the area under the standard normal curve from 0 to - 2.01.

Create an Amortization table using the following: I am buying a Tesla for $75,000. I am paying it off over 7 years, and I have an interest rate of 1.8%. What is my monthly payment? How much of the first payment is going toward interest?

To begin a bacteria study, a petri dish had 2600 bacteria cells. Each hour since, the number of cells has increased by 4.1%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.

Current Attempt in Progress The given function describes the value in dollars of an investment in year t. What does the given function tell you about the investment? V = 9100(0.929)' Enter the exact answers. Enter only positive values in the answer areas. The initial value of the investment is $ % per year. 9100 , and it decreases by i

The formula A-Pe describes the accumulated value, A, of a sum of money, P, the principal, after t years at annual percentage rate r (in decimal form) compounded continuously. Complete the table for a savings account sub to continuous compounding. Amount Invested Annual Interest Rate 8% $9000 Accumulated Amount Time t in Years Double the amount invested ? to years (Do not round until the final answer. Then round to one decimal place as needed)

Consider the following function. -2x-6 if x ≤ -3 11/2² if x > -3 Step 2 of 3: Identify the general shape and direction of the graph of this function on the interval (-3,00). An 15/25 Correct (4(3)

3. Many communities today are concerned with their local government's ability to appropriately manage the taxes it collects. If a government spends more money on expenditures than it collects in taxes, it may end up with not enough money, called deficit. Which of the following could result in a county government budget in Deficit? a. The government raises sales and property taxes without adjusting expenditures. b. The county closes a fire station, reducing expenditures, without adjusting taxes. c. The county gives all public-school teachers a $2,000 raise without adjusting taxes. d. The count collects donations to build a fountain in city hall.

An object is thrown upward from the top of a 144-foot building with an initial velocity of 128 feet per second. The height h of the object after t seconds is given by the quadratic equation h = - 16t² + 128t+144. When will the object hit the ground? The object will hit the ground when the time is seconds.

Advice from most financial advisers states to spend no more than 28% of one's gross monthly income for one's mortgage payment, and to spend no more than 36% of one's gross monthly income for one's total monthly debt. Suppose a family has a gross annual income of $39,600. a. What is the maximum amount the family should spend each month on a mortgage payment? b. What is the maximum amount the family should spend each month for total credit obligations? c. If the family's monthly mortgage payment is 70% of the maximum they can afford, what is the maximum amount they should spend each month for all other debt? a. The maximum monthly mortgage payment should be $ .....

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 5 inches, and the length of the base is 2 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.

The costs of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200. Write an equation which models the situation.

A baseball is dropped from a stadium seat that is 79 feet above the ground. Its height s in feet after t seconds is given by s(t)=79-22t2. Estimate to the nearest tenth of a second how long it takes for the baseball to strike the ground.

If a person shoots a basketball overhand from a position 8 feet above the floor, then the path of the basketball through the hoop can be modeled by the parabola y=- ball in ft/sec, y is the height of the ball and x is the distance away from the person. (a) If the basketball hoop is 10 ft high and located 15 ft away, what initial velocity v should the basketball have? (b) What is the maximum height of the basketball? (a) The initial velocity of the basketball should be approximately 23.32 ft per sec. (Round to the nearest hundredth.) (b) The maximum height of the basketball is approximately ft. (Round to the nearest hundredth.) -16x² 0.434v² ..... +1.15x+8, where v is the initial velocity of the

In 2012, the population of a city was 6.55 million. The exponential growth rate was 1.94% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 10 million? d) Find the doubling time.

A farmer has 400 feet of fence to enclose a rectangular area. What dimensions for the rectangle result in the maximum area enclosed by the fence? The rectangle with the maximum area enclosed by the fence has a length of ft and a width of ft.

900 11.29fd18son side rool box dam has 9. You are playing a board game with a spinner that has numbers 1, 2, 3, and 4 on it. You get to spin the spinner twice. What is the probability that you land on number 2 given that your first spin landed on number 1?

Classify the quotient as positive, negative, zero, or undefined. 5+5 Select the correct choice below. A. The quotient is zero. B. The quotient is undefined. C. The quotient is positive.. D. The quotient is negative.

What value of n makes this proportion true? 2n=1 = 1 10 O 1/2 03 06 O 2/3

The probability is (Type an integer or a simplified fraction.) HW Score: 75%, 6 of 8 points O Points: 0 of 1 A "trifecta" is a particular horse race in which you win by picking the "win," "place," and "show" horses (the first-, second-, and third-place winners), in their proper order. If five horses of equal ability are entered in a trifecta race, and Tracy selects an entry, what is the probability that she will be a winner?

A car manufacturer announced that next year the price of a certain model car would increase by 3.5%. This year the price is $17,015. Find the increase and the new price.

Find the real and complex zeros of the function f(x) = x³ - 14x² + 3x - 42 Express your answer as a list separated by commas. Do not use a Provide your answer below: sign in your answer; instead, list the zeros separately.

Find the principal root of this equation: tan(z) - 1 = 0 X= . Give your answer in radians. • Do not use decimal approximation. Use 'pi' to represent .

3. An open box of maximum volume is to be made from a square piece of material, 9 inches on a side by cutting equal squares form the corners and turning up the sides. Find the dimensions of the squares. Find the maximum Volume.

Use the point-slope form of a linear equation to write the equation of the line in slope-intercept form. m=- 2/3 through (7,3) Enter the correct expression in the box to complete the linear equation.

g(x)=x-2 h(x)=4x-2 Find (g- h)(x) A) 4x² - 10x+4 B) 12x³-9x² + 4x-3 C) 2x³-5x² +8x-20 D) 2x² - 13x+15

During a game of marbles, a player is trying to win a 2 g marble that is at rest. The player flicks a 1.25 g marble at a velocity of 8 at the larger marble that is sitting still. After the collision, the smaller marble has a velocity of 1 m S What is the velocity of the 2 g marble after the collision? Round your answer to the nearest whole number m

The manager of an 80-unit apartment complex knows from experience that at a rent of $1000 per month, all units will be rented. However, for each increase of $25 in rent, he can expect one unit to be vacated, Let x represent the number of $25 increases over $1000. Complete parts (a) through (e) below. (a) Express, in terms of x, the number of apartments that will be rented if x increases of $25 are made. (For example, with three such increases, the number of apartments rented will be 80-3=77.) The number of apartments that will be rented if x increases of $25 are made is

If you throw a stone up in the air off a bridge that is 20 feet above a creek, the path of the stone can be modeled using the equation h = -16t² +50t + 20, where h is the height of the stone and t is the time in seconds. How long will it take the stone to reach the water below?

Write a quadratic equation with integer coefficients having the given numbers as solutions. -√29, √29

The function f(x) = 5x+7/X + 5 is one to one (a) Find its inverse and check your answer. (b) Find the domain and the range of f and f

The number of seconds, t it takes for an object to fall a distance of d feet can be found using the formula t = √2d/g, where g is the constant acceleration due to gravity, 32-ft/sec². How many feet does an object fall in 2 seconds?

You start driving west for 3 miles, turn right, and drive north for another 2 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Each person has a 2.5 x 10-7 chance of winning one lottery game. Another lottery game gives you a 5 times better chance of winning. What are your chances of winning the second lottery game? (Hint: Write 5 in scientific notation)

Find the principal root of this equation: √3 tan(x) = -1 X = Give your answer in radians. Do not use decimal approximation. Use 'pi' to represent .

A ratio is... where two or more values are compared in lowest terms. when two numbers are written as a division problem. where two numbers are written as a fraction in lowest terms. all of these.