The accompanying tree diagram represents a two-stage experiment.


Mathematics

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Solve the problem. Round your answer, if appropriate.The radius of a right circular cylinder is increasing at the rate of , while the height is decreasing at the rate of . At what rate is the volume of the cylinder changing when the radius is 12 in. and the height is 18 in.?

A. -504? in.3/sec B. -504 in.3/sec C. -12 in.3/sec D. 144? in.3/sec

Mathematics

Solve the problem.Two friends decide to meet in Chicago to attend a Cub's baseball game. Rob travels  in the same time that Carl travels  Rob's trip uses more interstate highways and he can average  more than Carl. What is Rob's average speed?

A. 63 mph B. 71 mph C. 55 mph D. 60 mph

Mathematics

Use mathematical induction to prove the statement is true for all positive integers n.1 ? 2 + 2 ? 3 + 3 ? 4 + ... + n(n + 1) = 

What will be an ideal response?

Mathematics

Write the partial fraction decomposition of the rational expression.

A.  + 
B.  + 
C.  - 
D.  + 

Mathematics