Basic Math Questions and Answers

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):
Math
Basic Math
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):
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?
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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 $
Math
Basic Math
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 $.
Math
Basic Math
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
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Basic Math
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.
Math
Basic Math
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.
Assume that the situation can be expressed as a linear cost function. Find the cost function in this case.
Marginal cost: $20; 180 items cost $7500 to produce.
The linear cost function is C(x) =
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Assume that the situation can be expressed as a linear cost function. Find the cost function in this case. Marginal cost: $20; 180 items cost $7500 to produce. The linear cost function is C(x) =
The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t.
P= $12,000, r = 9.0%, t = 3 years
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The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. P= $12,000, r = 9.0%, t = 3 years
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
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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.
Math
Basic Math
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?
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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
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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
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.
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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.
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
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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
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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
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:
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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: