Simplify. Assume that all variables represent non-negative real numbers.

A. 4a5
B. 5a5
C. 5a5
D. 4a5


Answer: D

Mathematics

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Solve the problem.A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-fifth as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.

A.  = 
B.  = 
C.  = 
D.  = 

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Solve the problem.An office contains 1000 ft3 of air initially free of carbon monoxide. Starting at time = 0, cigarette smoke containing 4% carbon monoxide is blown into the room at the rate of 0.5 ft3/min. A ceiling fan keeps the air in the room well circulated and the air leaves the room at the same rate of 0.5ft3/min. Find the time when the concentration of carbon monoxide reaches 0.01%.

A. 6.01 min B. 5.01 min C. 7.01 min D. 8.01 min

Mathematics

Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.14y2 + 63y - 35

A. prime B. 7(2y + 1)(y - 5) C. 7(2y - 1)(y + 5) D. (14y - 7)(y + 5)

Mathematics

Perform the calculation. Express the answer in degree-minutes-seconds format.90° - 36°12'52''

A. 53°47'8'' B. 53°47'7'' C. 54°48'8'' D. 53°48'8''

Mathematics