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Differentiate.


Mathematics

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Solve the problem.Suppose the current cost of gasoline is $3.23 per gallon. Find the current price index using the 1995 price as the reference value. In 1995, the cost of gasoline was 120.5 cents per gallon.

A. 2.7 B. 268 C. 37.3 D. 202.5

Mathematics

Simplify.

A. -2 B. -1 C. 2 D. undefined

Mathematics

For the given equation, find the slope of the tangent to the curve at the point . Round your answer to two decimal places. ?   ?

A. -7.10 B. 7.10 C. -1.10 D. -2.00 E. undefined

Mathematics

Solve the problem.Consider the quadratic model h(t) = -16t2 + 40t + 50 for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air. Find the maximum height attained by the object. How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.

A. maximum height = 50 ft; time to reach ground = 2.5 seconds B. maximum height = 75 ft; time to reach ground = 1.25 seconds C. maximum height = 50 ft; time to reach ground = 1.25 seconds D. maximum height = 75 ft; time to reach ground = 2.5 seconds

Mathematics