Solve the problem.The amount of particulate matter left in solution during a filtering process decreases by the equation  where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to the nearest whole number.)

A. 400, 100
B. 400, 1600
C. 400, 13
D. 800, 100


Answer: A

Mathematics

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Evaluate the integral.

A.  ln 
B. e6/5
C. ln 
D.  ln 

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Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by the triangle with vertices (0, 0), (1, 0), (1, 2)

A. 4?
B. ?
C. ?
D. ?

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Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. Round your answer to four decimal places.

?
?
?
?
?
__________

Fill in the blank(s) with the appropriate word(s).

Mathematics

Provide an appropriate response.If n is a positive integer, does  = x? Explain.

What will be an ideal response?

Mathematics