An inlet pipe on a swimming pool can be used to fill the pool in 35 hours. The drain pipe can be used to empty the pool in 40 hours. If the pool is half filled and then the drain pipe is accidentally opened, how long will it take to fill the pool?
?
__________ hours
Fill in the blank(s) with the appropriate word(s).
140
Mathematics
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Plot the point whose polar coordinates are given.(2, ?/2)
A. 
B. 
C. 
D. 
Mathematics
Evaluate the integral using the given substitution.
dx, u = 9x2
A. 
sin (9x2) + C
B. 
sin (9x2) + C
C. 
sin (u) + C
D. sin(9x2) + C
Mathematics
Provide an appropriate response.Assume that log 3 = 0.4771. Determine the value of log 27.
Fill in the blank(s) with the appropriate word(s).
Mathematics
Solve the problem.A rotating beacon is located 6 ft from a wall. If the distance from the beacon to the point on the wall where the beacon is aimed is given by a = 6|sec (2?t)| , where t is in seconds, find a when t = 0.37 seconds. Round your answer to the nearest hundredth.
A. 11.94 ft B. 15.11 ft C. 8.76 ft D. -8.76 ft
Mathematics