Solve.The distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped. An object falls 156.8 meters in 4 seconds. Find the distance the object falls in 5 seconds.
A. 245 meters
B. 49 meters
C. 20 meters
D. 196 meters
Answer: A
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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = cot(7x - 5)
A. y = cot u; u = 7x - 5; 
= - 7 csc2(7x - 5)
B. y = cot u; u = 7x - 5; 
= - 7 cot(7x - 5) csc(7x - 5)
C. y = 7u - 5; u = cot x; 
= - 7 cot x csc2 x
D. y = cot u; u = 7x - 5; 
= - csc2(7x - 5)
Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius 5 and density 1 about a diameter of its base. Select the correct answer.
a. 205.13 b. 2616.67 c. 195.22 d. 213.5 e. 198.08
Use the general multiplication rule to find the indicated probability.What is the probability that 4 randomly selected people all have different birthdays?
A. 0.9891 B. 0.9836 C. 0.9918 D. 0.9729
Provide an appropriate response.Evaluate the following: (-2)6 - (3)5 - 
Fill in the blank(s) with the appropriate word(s).