Solve the problem.The owner of a video store has determined that the profits P of the store are approximately given by  where x is the number of videos rented daily. Find the maximum profit to the nearest dollar.

A. $6050
B. $6101
C. $3025
D. $3076


Answer: D

Mathematics

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Find the intersection.x = -2 + 8t, y = 8 - 5t, z = 9 + 8t ; 3x + 8y - 7z = 2

A. (6, 3, 17)
B. (-10, 13, 1)
C.
D.

Mathematics

Which number is larger?0.1816, 0.1824

A. 0.1824 B. 0.1816

Mathematics

Solve.A complex number z does not belong to the Mandelbrot set if any of the complex numbers in the sequence z,  (z2 + z)2 + z, [(z2 + z)2 + z]2 + z, ... has modulus exceeding 2. Does  belong to the Mandelbrot set?

A. Yes B. No

Mathematics

Solve.The process by which a gas escapes from a container with a small puncture is called "effusion". Under identical conditions, gases with relatively small particle masses effuse more rapidly than gases with larger particle masses. The relative rate of effusion of helium (He) and nitrogen (N2) can be computed using: relative rate =  = ,where MHe is the mass of the helium particles and MN2 is the mass of the nitrogen particles. Assuming MHe = 4 and  MN2 = 28 (arbitrary units), find the exact value of the relative rate of effusion.

A.
B. 7
C.
D.

Mathematics