A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec². The velocity of the car in ft/sec is given by the function V = 4.2t + 70, where t is in seconds.

If the car is traveling at 100 ft/sec, for how long did it accelerate? (Round to the nearest tenth of a second.)

A) 6.9 seconds B) 7.1 seconds C) 7.3 seconds D) 7.5 seconds


B) 7.1 seconds

Mathematics

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Find the derivative of y with respect to the independent variable.y = (cos ?)

A. - cos ? sin ?
B. (cos ?)-1
C. -(cos ?)-1 sin ?
D. -(cos ?)-1 sin ?

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Decide if the statement is true or false.sin ? increases in value as ? goes from 0° to 90°.

A. False B. True

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Provide an appropriate response.A patio is designed with semicircular areas attached to a square as shown in the figure. Find the area of the patio. Round the answer to thousandths.

What will be an ideal response?

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Find the exact value of the expression.cos  cos  + sin  sin 

A. 1
B.
C.
D.

Mathematics