Solve the problem.A formula used to determine the velocity v in feet per second of an object (neglecting air resistance) after it has fallen a certain height is v = , where g is the acceleration due to gravity and h is the height the object has fallen. If the acceleration g due to gravity on Earth is approximately 32 feet per second per second, find the velocity of a bowling ball after it has fallen 60 feet. (Round to the nearest tenth.)

A. 62.0 ft per sec
B. 11.0 ft per sec
C. 3840 ft per sec
D. 43.8 ft per sec


Answer: A

Mathematics

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Find the center of mass of a thin plate covering the given region with the given density function.The region bounded below by the parabola  and above by the line , with density 

A.  =  = 
B.  =  = 
C.  =  = 
D.  =  = 

Mathematics

Solve the problem.The temperature of water in a certain lake on a day in October can be determined by using the model  where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that depth. Based on this model, how deep in the lake is the water 12 degrees? (Round to the nearest foot.)

A. 6 ft B. 25 ft C. 62 ft D. 51 ft

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Solve using the addition principle.-20 = m - 14

A. 6  B. -6  C. -34  D. 34

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Find the value of the expression. ? 

A.
B.  
C.  
D.  

Mathematics