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Michael W.

Graduate Student

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Pre-Calculus

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Question:

State the derivative of 3x^2

Michael W.

Answer:

The derivative is the slope of the function. To find the derivative of 3x^2 we will use the power rule. Move down the 2 and multiply it with the 3 while deducting one power from the exponent. The answer is 6x.

Statistics

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Question:

Michael is making a pizza at home and decides to use a variety of sauces and toppings. With three different sauces, eight different toppings, and four different shapes the pizza can be made, how many possible combinations of pizza can be made? What is the probability that two exact same pizzas were made in a row?

Michael W.

Answer:

Three different sauces*eight different toppings*four different shapes=96 different combinations. Two exact same pizzas made in a row is 1/96*1/96=the answer.

Algebra

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Question:

Andy and Brett enjoys picking apples from a tree. If a total of 24 apples were picked, and Andy picked 2 times more apples than Brett, how many did each person pick respectively?

Michael W.

Answer:

Andy picked 16 apples while Brett only picked 8. You know Andy picked 2x more apples than Brett so we can label Andy as "2x" and Brett as "x". 2x+x=24 total apples. 3x=24. x=8.

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