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. 600, 19
B. 1200, 75
C. 600, 4800
D. 600, 75


Answer: D

Mathematics

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Perform the indicated operations, expressing the answer in simplest form with rationalized denominators. 

A. 2
B. 4x4
C. 2x8
D. 2x4

Mathematics

Evaluate the line integral along the curve C.ds , C is the path from (0, 0, 0) to (-4, 4, 1) given by:C1: r(t) = -4t2i + 4tj, 0 ? t ? 1C2: r(t) = -4i + 4j + (t-1)k, 1 ? t ? 2

A.  - 
B.
C.
D.  + 

Mathematics

Multiply and simplify any radicals in your answer. Assume that all variables represent positive real numbers.6(-3 + 2)

A. -18 + 2
B. -36x
C. -16
D. -18 + 12x

Mathematics

Refer to the figure in which O is the center of the circle, is a tangent, m?PCE = 20° m?Boc = 80°, PE = 10 ft, PD = 12 ft, ER= 4 ft, and BR= 5 ft.



Find m?DPE

Mathematics