Find the following. Assume that the letter can represent any real number.

A. -8
B. 8x
C. 8
D. 64x


Answer: C

Mathematics

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Provide an appropriate response.For the points P(1, 6), Q(3, 10), R(6, 1) and S(18, -5), indicate whether  is perpendicular to . Explain.

A. The slopes of the lines are the same, therefore  is perpendicular to .
B. The slopes of the lines are the same, therefore  is not perpendicular to .
C. The product of the slopes of the lines is -1, therefore  is perpendicular to .
D. The product of the slopes of the lines is 1, therefore  is not perpendicular to .

Mathematics

Solve the problem.Bert is 16.5 kilometers away from Brenda. Both begin to walk toward each other at the same time. Bert walks at 3 kilometers per hour. They meet in 3 hours. How fast is Brenda walking?

A. 4.5 kilometers per hour B. 2.5 kilometers per hour C. 3 kilometers per hour D. 3.5 kilometers per hour

Mathematics

Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. What are Mr. Cameron's expected concert earning?

A. $300,000 B. $360,000 C. $60,000 D. $218,400

Mathematics

Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.ln e2

A. 8
B. e
C. 2
D. 64

Mathematics