Solve the problem.A power boat in still water maintains a speed of 20 miles per hour. The boat heads directly across a river perpendicular to the current which has a speed of 7 miles per hour. Find the actual speed and direction of the boat, rounded to the nearest whole number.

A. 20 miles per hour; 20° off course
B. 21 miles per hour; 19° off course
C. 12 miles per hour; 36° off course
D. 11 miles per hour; 40° off course


Answer: B

Mathematics

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Solve.The height of a golf ball in feet after t seconds is given by 128t - 16t2. Factor this expression.

A. 16t2(8 - t) B. 16t(8 - t) C. 16(8t - t2) D. 4t(32 - 4t)

Mathematics

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = 25 - x2 between x = -5 and x = 5 using the "midpoint rule" with two rectangles of equal width.

A. 93.75 B. 187.5 C. 10 D. 62.5

Mathematics

Find the equation of a circle satisfying the given conditions.Center: (5, -5); radius: 

A. (x - 5)2 + (y + 5)2 = 2 B. (x + 5)2 + (y - 5)2 = 4 C. (x - 5)2 + (y + 5)2 = 4 D. (x + 5)2 + (y - 5)2 = 2

Mathematics

Find the constant of variation and construct the function that is expressed in each statement.y varies inversely as x: y = 6.75, when x = 0.16

A. = 42.19x
B. = 
C. = 
D. = 

Mathematics