Basic Math Questions

Use the product rule to simplify the expression. Write the result using exponents. (a¹¹b⁷) (a⁷b)=

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Use the product rule to simplify the expression. Write the result using exponents. (a¹¹b⁷) (a⁷b)=

Doreen Schmidt is a chemist. She needs to prepare 32 ounces of a 10% hydrochloric acid solution Concentration Ounces of Solution Ounces of Pure Acid rate First Solution 8%

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Doreen Schmidt is a chemist. She needs to prepare 32 ounces of a 10% hydrochloric acid solution Concentration Ounces of Solution Ounces of Pure Acid rate First Solution 8% X 0.08x Second 16% y 0:16y Solution Mixture Needed 10% 32 0.1(32) How many ounces of the 16% acid solution should be in the mixture?

An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount? a. $11.99 b. $13.19 c. $13.33 d. $27.99 Please select the best answer from the choices provided A B C D

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An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount? a. $11.99 b. $13.19 c. $13.33 d. $27.99 Please select the best answer from the choices provided A B C D

A small bakery called Taestry opens today. They expect to make profits continuously, at a rate ofs(t) = fo + 100 thousand dollars per year, where t is the time in years since they opened.(a) (3 points) Over their first ten years of operation, what will b

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A small bakery called Taestry opens today. They expect to make profits continuously, at a rate of s(t) = fo + 100 thousand dollars per year, where t is the time in years since they opened. (a) (3 points) Over their first ten years of operation, what will be the average value of Taestry's profit rate S(t)? Call this average value "A". Please show all of your reasoning. Answer: Over their first ten years of operation, Taestry's average profit rate will be A= thousand dollars per year.

Candice wants to buy a $2500 scooter with a loan from her local bank. Which loan option would be best for Candice if she wants the lowest interest rate and wants to pay off the scooter within 5 years. (1)Loan option 1 will take less than 4 years to

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Candice wants to buy a $2500 scooter with a loan from her local bank. Which loan option would be best for Candice if she wants the lowest interest rate and wants to pay off the scooter within 5 years. (1)Loan option 1 will take less than 4 years to pay off and have an annual interest rate of 15%, and total interest of about $700, (2)Loan option 2 will take 3 years to pay off, at which point she will have paid $1,050 in interest. (3)Loan option 3 will take 7 years to pay off, and the total paid for the scooter will be $3200, (4)Loan option 4 will take 5 years to pay off, and the total paid for the scooter will be $3500,

A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and found it to be 30 cm. To the n

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A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and found it to be 30 cm. To the nearest tenth, what is the area of the wheel? (1)71.6 cm2 (2)286.6 cm2 (3)23.6 cm2 (4)143.3 cm2

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2 She makes these two Statements: (1) As x increases infinitely, the y-values are continually doubled for each single increase in x. (2) As x

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Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2 She makes these two Statements: (1) As x increases infinitely, the y-values are continually doubled for each single increase in x. (2) As x decreases infinitely, the y-values are continually halved for each single decrease in x. She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine's statements and her conclusion? (1) Statement 1 is incorrect because the y-values are increased by 2, not doubled. (2) Statement 2 is incorrect because the y-values are doubled, not halved. (3) The conclusion is incorrect because the range is limited to the set of integers. (4) The conclusion is incorrect because the range is limited to the set of positive real numbers.

Fiona is pricing two bicycles. One is $175 with 10% off, and the other is $225 with 35% off. Which bicycle can she afford if she has $150 to spend? (1) Fiona can afford the $175 bicycle. It will cost $146.25. (2) Fiona can afford the $175 bicycle. It

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Fiona is pricing two bicycles. One is $175 with 10% off, and the other is $225 with 35% off. Which bicycle can she afford if she has $150 to spend? (1) Fiona can afford the $175 bicycle. It will cost $146.25. (2) Fiona can afford the $175 bicycle. It will cost $96.25. (3) Fiona can afford the $225 bicycle. It will cost $146.25. (4) Fiona can afford the $225 bicycle. It will cost $96.25.

Caylan is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 15 minutes, the muffins bake for 12 minutes, and the cookies bake for 10 minutes. When one tra

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Caylan is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 15 minutes, the muffins bake for 12 minutes, and the cookies bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item. How many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time? __________ minutes

Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it Which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x? (1) y=4+x (2) y = x-4 (3) y =

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Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it Which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x? (1) y=4+x (2) y = x-4 (3) y = 4 x (4) y = x + 4

Kurtis had purchased a renters insurance policy for his new apartment at an annual premium of $588.00. The items covered in the policy included a bicycle kept locked to the railing in front of the apartment. When the bicycle was stolen, the insurance

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Kurtis had purchased a renters insurance policy for his new apartment at an annual premium of $588.00. The items covered in the policy included a bicycle kept locked to the railing in front of the apartment. When the bicycle was stolen, the insurance company covered the replacement cost of the bicycle, but told Kurtis that, because of the loss, his premium would increase by 35% if he wished to continue with the policy. What would Kurtis' new annual premium be if he chose to keep the policy. (1) $36.75 (2) $66.15 (3) $441.00 (4) $793.80

Alana has 12.5 cups of flour with which she is baking four loaves of raisin bread and one large pretzel. The pretzel requires 2.5 cups of flour to make. How much flour is in each loaf of raisin bread? Explain the steps to follow to get the answer

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Alana has 12.5 cups of flour with which she is baking four loaves of raisin bread and one large pretzel. The pretzel requires 2.5 cups of flour to make. How much flour is in each loaf of raisin bread? Explain the steps to follow to get the answer

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