Solve the problem.The number of non-text books read by college students ranges from 8 to 46. Using B as the variable, write an absolute value inequality that corresponds to this range.

A. |B - 8| ? 38
B. |B - 38| ? 8
C. |B - 19| ? 27
D. |B - 27| ? 19


Answer: D

Mathematics

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A variable force of magnitude F(x) moves a body of mass m along the x-axis from x1 to x2. The net work done by the force in moving the body from x1 to x2 is  where v1 and v2 are the body's velocities at  x1 and x2. Knowing that the work done by the force equals the change in the body's kinetic energy, solve the problem.A 2-oz tennis ball was served at 90 ft/sec about (61 mph). How much work was done on the ball to make it go this fast? (To find the ball's mass from its weight, express the weight in pounds and divide by  the acceleration of gravity.)

A. 16 ft-lb B. 7 ft-lb C. 15 ft-lb D. 32 ft-lb

Mathematics

Solve the problem.A hotel in the process of renovating states that 50% of guest rooms are updated. If 27 rooms are not yet updated, find the total number of rooms in the hotel. Round to the nearest whole number.

A. 14 rooms B. 54 rooms C. 5 rooms D. 140 rooms

Mathematics

Triangle ABC is a right triangle with sides of lengths a, b, and c and a right angle at C. Find the indicated trigonometric function value of A. Rationalize denominators containing radicals.a = 5, c = 8; find cot A.

A.
B.
C.
D.

Mathematics

Compute the determinant of the matrix by cofactor expansion.

A. 55 B. -197 C. -55 D. 891

Mathematics