Solve the problem.A carousel has a radius of 17 feet and takes 35 seconds to make one complete revolution. What is the linear speed of the carousel at its outside edge? If necessary, round the answer to two decimal places.

A. 3.05 ft/sec
B. 0.49 ft/sec
C. 106.81 ft/sec
D. 12.94 ft/sec


Answer: A

Mathematics

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By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit L and the smallest integer N such that  for  otherwise indicate divergence.an = n tan 

A. L = 1, N = 28 B. L = 1, N = 6 C. L = 0, N = 28 D. diverges

Mathematics

Solve the problem.What will the temperature be in degrees Fahrenheit when it is 40° Celsius outside? Recall the formula 

A. 129.6° Fahrenheit B. 54.0° Fahrenheit C. 104° Fahrenheit D. 78.4° Fahrenheit

Mathematics

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.(-5x-5)(-2x-6)

A. 10x11
B.
C. 10x30
D. -10x30

Mathematics

Let p denote the statement "Jack committed the crime" and let q denote the statement "Jack is friendly." Which of the following denotes the statement "Jack did not commit the crime or he is friendly"?

A. ~p ? q B. p ? q C. ~(p ? q) D. p ? ~q E. none of these

Mathematics