Solve the problem.A barge travels along a river between Metro City and Smithport, which are 65 miles apart. The speed of the current is 1.6 mph. If the barge can make the downstream trip in 6.2 hours less than it can travel the upstream trip, then what is the barge's speed in still water? Round your answer to one decimal place.
A. 6.0 mph
B. 7.5 mph
C. 4.6 mph
D. 8.3 mph
Answer: A
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Solve the problem.Find the centroid of a hemispherical shell having outer radius 9 and inner radius 3 if the density varies as the square of the distance from the base.
A. 
= 0, 
= 0, 
= 
B. 
= 0, 
= 0, 
= 
C. 
= 0, 
= 0, 
= 
D. 
= 0, 
= 0, 
= 
Solve the problem.The path of a point on the circumference of a circle, such as a point on the rim of a bicycle wheel as it rolls along, traces out a curve called a cycloid. To find the distance through which the point moves, it is necessary to simplify the expression (1 - cos ?)2 + sin2 ?. Perform this simplification.
A. 1 - 2 cos x B. 2 - 2 cos x C. 2 cos x D. 2 sin2 x
Use regression to solve the problem. Round numbers to the nearest hundredth.The first column shows the independent variable (x). The second column shows the dependent variable (y).
Use linear regression to predict the value of y when x = 21.
A. 66.94 B. 62.74 C. 73.24 D. 69.04
Select the graph of the given function and determine the interval(s) for which f(x) ? 0. ? f(x) = 16 - x2 ?
A. ?
?
[-4, -4]
B. ?
?
[-4, 4]
C. ?
?
[-4, -4]
D. ?
?
[4, -4]
E. ?
?
[-4, 4]