Solve the problem.The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 16 minutes requires 11.2 gallons of water. Find the amount of water used in a shower lasting 4 minutes.

A. 64 gal
B. 2.1 gal
C. 2.8 gal
D. 3.5 gal


Answer: C

Mathematics

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Perform the indicated division by synthetic division.(5x3 + 11x2 - 17x - 15) ÷ (x + 3)

A. -5x2 - 3x - 5, R = 0 B. 5x2 + 11x - 17 , R = 0 C. 5x - 4, R = 0 D. 5x2 - 4x - 5, R = 0

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Find the unknowns on the right side of the partial fraction decomposition. =  + 

A. = - , B = - 
B. = , B = - 
C. = , B = 
D. = - , B = 

Mathematics

Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum , using the indicated point in the kth subinterval for ck.f(x) = cos x + 3, [0, 2?], midpoint

A.

B.

C.

D.

Mathematics

Provide an appropriate response. Evaluate with a calculator: log4 100

A. 0.6021 B. 25 C. 3.3219 D. 2

Mathematics