Solve the problem.Two pulleys of diameter 9 m and 3 m are connected by a belt. The larger pulley rotates 36 times per min. Find the angular velocity of the smaller pulley.

A. 324? radians/min
B. 162? radians/min
C. 216? radians/min
D. 108? radians/min


Answer: C

Mathematics

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Find the limit of the sequence if it converges; otherwise indicate divergence.an = ln n

A. ln 8 B. 0 C. 8 D. Diverges

Mathematics

Find the missing side using the Pythagorean Theorem.

A. 14 B. 19 C. 20 D. 11

Mathematics

Solve.Elissa sells two breeds of dogs, Alaskan Malamutes and Great Pyrenees. She has 92 feet of fencing to enclose two adjacent rectangular dog kennels, one for each breed. An existing fence is to form one side of the kennels, as in the drawing below. Suppose the total length of the two kennels is x feet. Express the total area of the two kennels as a function of x. Graph the function and from the graph determine the value of x that will yield the maximum area.

A. 45 feet
B. 46 feet
C. 48 feet
D.  feet

Mathematics

Write the opposite of the polynomial and simplify your result.3x5 + 2.5x3 - 12x2 + 0.5x

A. -3x5 - 2.5x3 + 12x2 - 0.5x B. -3x5 + 2.5x3 - 12x2 + 0.5x C. -3x5 + 2.5x3 - 12x2 - 0.5x D. 3x5 + 2.5x3 - 12x2 - 0.5x

Mathematics