Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible. = 

A. x = 17
B. x = 
C. x = 
D. x = 4


Answer: A

Mathematics

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Evaluate the integral.

A. - tan4 4+ tan2 4- ln  + C
B. tan4 4- tan2 4+ ln  + C
C. tan4 4- tan2 4- ln  + C
D. tan4 4- tan2 4- ln  + C

Mathematics

Provide an appropriate response.Determine the measure of the acute angle ? for which cos ? = .

A. 30°  
B. 45°  
C. 90°  
D. 60°  

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Provide an appropriate response.The total sales x ( in hundred thousands) for a video cassette t months after the video is released can be approximated by x = . Use logarithmic differentiation to find .

What will be an ideal response?

Mathematics

A saleswoman wants to visit eastern cities, New York City, Boston, Cleveland, and Washington, D.C. Driving distances are as shown in the figure below. What is the shortest trip starting in New York that visits each of these cities, if ? Find a solution using the brute-force method.

? ? __________ mi. Fill in the blank(s) with the appropriate word(s).

Mathematics