Solve the problem.A container, in the shape of an inverted right circular cone, has a radius of 6 inches at the top and a height of 10 inches. At the instant when the water in the container is 9 inches deep, the surface level is falling at the rate of -1.9 in./s. Find the rate at which water is being drained.

A. -301.69 in.3/s
B. -174.05 in.3/s
C. -204.13 in.3/s
D. -166.21 in.3/s


Answer: B

Mathematics

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Use Bayes' rule to find the indicated probability.A company is conducting a sweepstakes, and ships two boxes of game pieces to a particular store. Box A has 3% of its contents being winners, while 5% of the contents of box B are winners. Box A contains 37% of the total tickets. The contents of both boxes are mixed in a drawer and a ticket is chosen at random. What is the probability it came from box A if it is a winner?

A. 0.009 B. 0.188 C. 0.375 D. 0.258

Mathematics

Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.cos ? = ,   < ? < 2?Find sin(2?).

A. - 
B. - 
C.
D.

Mathematics

Provide an appropriate response.In using the following form of Bayes' theorem,P(R?T) = , can P(T), if it is known, be substituted for the entire denominator?

A. Yes B. No

Mathematics

Multiply. Assume that no radicands were formed by raising negative numbers to even powers.( + 3)( - 3)

A. 8 - 2
B. 5
C. -1
D. 17

Mathematics