Math Questions

Matt and Linda each start the year with 15 vacation days The table below shows how many vacation days each of them had left at the end of each quarter Jan Mar Apr June July Sept Oct Dec 13 11 7 4 11 7 0 Matt Linda 12 Which statement is true OA The mean number of vacation days Matt has remaining is greater than the mean number of vacation days Linda has remaining OB The median number of vacation days Matt has remaining is less than the median number of vacation days Linda has remaining OC Both the mean and the median number of vacation days Matt has remaining are greater than the mean and the median number of vacation days Linda has remaining The median number of uncation da Inde OD

For q (x) = (-4x²+4x−1)/ (x²+2) (a) Identify the horizontal asymptotes (if any). (b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the ho asymptote(s). Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable. The graph has no horizontal asymptotes. O The graph has at least one horizontal asymptote. Equation(s) of the horizontal asymptote(s): Crossover point(s):

You want to obtain a sample to estimac population mean. Based on previous evidence, you believe the population standard deviation is approximately o = 29.4. You would like to be 90% confident that your estimate is within 3 of the true population mean. How large of a sample size is required? n = Do not round mid-calculation. However, you are encouraged to use a critical value accurate to three decimal places - this is important for the system to be able to give hints for incorrect answers.

Connor is going to invest $83,000 and leave it in an account for 15 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Connor to end up with $125,000?

You are choosing between two health clubs. Club A offers membership for a fee of $11 plus a monthly fee of $22. Club B offers membership for a fee of $29 plus a monthly fee of $19. After how many months will the total cost of each health club be the same? What will be the total cost for each club? In months the total cost of each health club will be the same. The total cost for each health club will be $

Suppose that the local sales tax rate is 4% and you purchase a car for $24,200. a. How much tax is paid? b. What is the car's total cost? a. The amount of tax paid is $. b. The total cost is $.

A small rock sits on the edge of a tall building. A strong wind blows the rock off the edge. The distance, in feet, between the rock and the ground t seconds after the rock leaves the edge is given by d = -16t² - 8t+470. If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed. How many seconds after the rock leaves the edge is it 443 feet from the ground? seconds How many seconds after the rock leaves the edge does it hit the ground? seconds

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately o = 68.6. You would like to be 98% confident that your estimate is within 1 of the true population mean. How large of a sample size is required? n= Do not round mid-calculation. However, you are encouraged to use a critical value accurate to three decimal places - this is important for the system to be able to give hints for incorrect answers.

Write the equation in exponential form. log9 81=2 The equation in exponential form is

The function h represents the height of an object t seconds after it is launched into the air. The function is defined by h(t) = -5t² + 20t+18. Height is measured in meters. 1) When will the object hit the ground? (round to the nearest hundredth) seconds 2) At what 2 times does the object occupy a height of 33 meters? seconds and seconds 3) When does the object reach its maximum height? seconds 4) What is the maximum height that the object reaches? meters

Determine the difference in clock 12 arithmetic by starting at the first number and counting counterclockwise on the clock the number of units given by the second number. 2-8

In clock 12 arithmetic, for any elements a, b, and c, (a+b)+c= a + (b+c); therefore, the property holds under the operation of addition. In clock 12 arithmetic, for any elements a, b, and c, (a+b)+c= a + (b + c); therefore, the property holds under the operation of addition.

A school playground is in the shape of a rectangle 800 feet long and 100 feet wide. If fencing costs $22 per yard, what will it cost to place fencing around the playground?

A real estate office handles an apartment complex with 80 units. When the rent is $375 per month, all 80 units are occupied. When the rent is $420, however, the average number of occupied units drops to 77. Assume that the relationship between the monthly rent p and the demand x is linear. (The term demand refers to the number of occupied units.) Predict the number of occupied units when the rent is set at $480. A) 73 B) 74 C) 71 D) 72

Determine whether the sequence is arithmetic or geometric. Then find the next two terms. 1/2, 1, 3/2, 2.. Determine whether the sequence is arithmetic or geometric. Choose the correct answer below. Geometric Arithmetic 2,.. Write next two terms. 1/2, 1, 3/2, 2..

What is the meaning and value of the label of "2+50" for a grid survey- A. None of the answers. B. The point is 2.5ft from the origin. C. The point is 25' from the origin. D. The point is 250 ft from the origin.

For h (x)= -3x²+2x-4/x2 +4 (a) Identify the horizontal asymptotes (if any). (b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s). Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable. The graph has no horizontal asymptotes. The graph has at least one horizontal asymptote. Equation(s) of the horizontal asympt Crossover point(s):

Fill in the blank with the appropriate word. In clock 12 arithmetic, since 1+11=11+1=12, we say that 1 and 11 are additive

Choose the term that is defined in the given statement. A process that begins with commonly accepted facts and logically arrives at a specific conclusion. Reasoning Inductive Reasoning Counterexample Deductive Reasoning

Write the equation in logarithmic form. e¹=e The equation in logarithmic form is

Suppose the average American's weight increases 1.5 % each year after they turn 40. Uncle Sam just turned 40 and weighs 192 lbs. a. Create an explicit (general) equation to predict Uncle Sam's weight n years after 40. Pn b. Use your equation to predict Uncle Sam's weight at age 80, assuming the same growth applies. Round your answer to at least 3 decimal places, if necessary. Show or explain your calculations below:

Consider the following pattern. 1◆15 = 15 11◆15=165 111◆15 = 1665 1111◆15 = 16665 Predict the result of 111111 ◆ 15

A multiple-choice test has six possible answers for each question. (a) If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question? (b) If the student first eliminates one of the six possible answers and guesses from the remaining possibilities, what is the probability that he or she selects the correct answer to that question? (a) If a student guesses at the answer, the probability that he or she selects the correct answer for one particular question is (Type an integer or a simplified fraction.) (b) If the student first eliminates one of the six possible answers and guesses from the remaining possibilities, the probability that he or she selects the correct answer to that question is (Type an integer or a simplified fraction.)

What is the probability that a card drawn randomly from a standard deck of 52 cards is a six? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth. Choose the correct answer from the options below. 1/4= 0.25 1/13≈ 0.076923 1/26≈ 0.038462 1/52≈ 0.019231

Is the set of rational numbers a group under the operation of addition? Is the set of rational numbers a group under the operation of addition? If not, why not? Select all that apply. A. Yes, it is a group. B. No, it is not a group. There is no identity element in the set of rational numbers under the operation of addition. C. No, it is not a group. There exist rational numbers a and b such that a + b*b+a. D. No, it is not a group. There exist rational numbers a, b, and c such that (a + b) + c#a+ (b + c). E. No, it is not a group. The set of rational numbers is not closed under the operation of addition. F. No, it is not a group. There is at least one rational number that does not have an inverse in the set of rational numbers under the operation of addition.

Evaluate f(x) for the given values for x. Then use the ordered pairs (x,f(x)) from the table to graph the function. f(x) = (x - 1)²

Fill in the blank with the appropriate word, phrase, or symbol. The principal (or positive) square root of a number n, written √n, is the positive number that, when multiplied by gives n. The principal (or positive) square root of a number n, written √n, is the positive number that, when multiplied by gives

You throw a baseball upward with an initial velocity of 56 feet per second. The height h (in feet) of the baseball relative to your glove is modeled by the position function h(t)= -16t2+56t where t is the time in seconds. How long does it take for the ball to reach your glove? (Round your answer to one decimal place.)

Use the model 4 = Pert or A=P(1+r/n)nt. where A is the future value of P dollars invested at interest rater compounded continuously or n times per year for t years. If a couple has $50,000 in a retirement account, how long will it take the money to grow to $1,000,000 if it grows by 5.5% compounded continuously? Round up to the nearest year.

Let G be the symmetry group of a regular 10-gon, and let + € G be rotation by 2/5 clockwise. Which of the following sets of integers is equal to (n E Z: rn = r}? Select one: a. {n € Z≥o: 5|n) b. (1) c. {n € Z≥o 10|(n-1)} d. {n € Z≥0:10|n} e. none of the available options

Catherine throws a stone that moves through the air in a parabolic path due to gravity. The height, in meters, of the stone above the ground after t seconds is given by h(t) = -t2 + 13t- 36. Find the maximum height of the stone. 6.5 meters 6.25 meters 6 meters

Use the model A=Pert or A= P ( 1 + r/n)nt where A is the future value of P dollars invested at interest rate r compounded continuously or n times per year for t years. If $10,000 is invested in an account earning 6.5% interest compounded continuously, determine how long it will take the money to triple. Round up to the nearest year. It will take approximately years.

A payday loan is made for five weeks, where the amount of interest owed per $100 borrowed is $20. If you borrow $700 for five weeks, how much do you owe at the end of the five weeks?

Halley starts an IRA (Individual Retirement Account) at the age of 36 to save for retirement. She deposits $450 each month. The IRA has an average annual interest rate of 8 % compounded monthly. How much money will she have saved when she retires at the age of 65? Round your answer to the nearest cent, if necessary.

The revenue that a stadium receives from the sale of tickets is given as a function of the ticket price p as follows: R(p) = -450p² + 12600p, where p is in dollars. Find the ticket price that will maximize revenue. Determine the maximum revenue. The ticket price that will maximize revenue is $ The maximum revenue is $

Identify the sample chosen for the study. The number of times 12 out of 25 students on your floor order fast food in a week. All students who order fast food in a week. The 12 students on your floor. The 25 students on your floor.

For s (x) = 5x-5 / 2x²-7x-1 (a) Identify the horizontal asymptotes (if any). (b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s). Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable.

Determine the simple interest earned on $10,000 after 10 years if the APR is 3%.

For each arithmetic series described below, write the series and calculate its sum. If it is not possible, explain why not. a. You know that the first term is 18, the last term is 72, and the common difference is 4.5. What is the series? What is the sum? b. You know that the series has nine terms and the last term is 18. What is the series? What is the sum? c. You know that the third term of an 18-term series is 29 and the terms are increasing by 10. What is the series? What is the sum?

Adelaide wants to buy a new generator. The generator costs $2750. Adelaide decides to finance the generator for 36 months at an APR of 11.5%. Determine Adelaide's monthly payment. Round your answer to the nearest cent, if necessary.

A ball is thrown vertically upward from the top of a building 144 feet tall with an initial velocity of 128 feet per second. The distances (in feet) of the ball from the ground after t seconds is s = 144 +128t- 16t2. After how many seconds does the ball strike the ground? 8 sec 145 sec 9 sec 11 sec

Jose will run at most 32 miles this week. So far, he has run 18 miles. What are the possible numbers of additional miles he will run? Use t for the number of additional miles he will run. Write your answer as an inequality solved for t.

Suppose you want to purchase a house. Your take-home pay is $2630 per month, and you wish to stay within the recommended guidelines for mortgage amounts by only spending 1/4 of your take-home pay on a house payment. You have $15,300 saved for a down payment and you can get an APR from your bank of 3.7 %, compounded monthly. What is the total cost of a house you could afford with a 30-year mortgage? Round your answer to the nearest cent, if necessary.

Two search teams spot a stranded climber between them on a mountain. The first team is 0.6 miles from the second team, and both teams are at an altitude of 0.2 miles. The angle of elevation from the first team to the stranded climber is 16 °. The angle of elevation from the second team to the climber is 24°. What is the altitude of the climber? Round to the nearest hundredth of a mile. miles

If you leave a 100°C pot of tea at room temperature (25°C) and an identical pot in the refrigerator (5°C), with k=0.02, the tea in the refrigerator reaches a drinkable temperature (70°C) more than minutes before the tea at room temperature. True False

For q (x) = -4x2+4x-1 / x²+2 (a) Identify the horizontal asymptotes (if any). (b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s). Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable. The graph has no horizontal asymptotes. The graph has at least one horizontal asymptote. Equation(s) of the horizontal asymptote(s): Crossover point(s):

Let f(x) =5x+2 / x - 5 1) The domain of f(x) in interval notation is 2) The y intercept is the point 3) The x intercept(s) is/are the point(s) 4) The vertical asymptote is 5) The horizontal asymptote is

Suppose that $15,000 is deposited for seven years at 5% APR. Calculate the interest earned if interest is compounded monthly. Round your answer to the nearest cent.

In the mathematical system of clock 12 arithmetic, under the operation of addition the set of elements is {1,12}. {12}. {1,2,3,4,5,6,7,8,9,10,11,12}. {0,1,2,3,4,5,6,7,8,9,10,11}.

The formula v = √2.6r models the maximum safe speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature r, in feet. A highway crew measures the radius of curvature at an exit ramp on a highway as 670 feet. What is the maximum safe speed? For this problem, round your answer DOWN to the nearest whole number. (Think: Why is this type of rounding appropriate for this scenario?) max safe speed=