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


Answer: B

Mathematics

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The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.s = - t3 + 7t2 - 7t, 0 ? t ? 7Find the body's displacement and average velocity for the given time interval.

A. 49 m, 7 m/sec B. -49 m, -14 m/sec C. -49 m, -7 m/sec D. 637 m, 91 m/sec

Mathematics

Solve the problem.A student takes out two loans totaling $8000 to help pay for college expenses. One loan is at 4% simple interest, and the other is at 6% simple interest. The first-year interest is . Find the amount of the loan at 6%.

A. $2000 B. $240 C. $120 D. $6000

Mathematics

Find the exact value of . ?

A.
B.
C.
D.
E.

Mathematics

Tell whether the statement is true or false.{1, 3, 4, 6} ? ? = {1, 3, 4, 6}

A. True B. False

Mathematics