Determine the natural logarithm of the number. Round to the nearest ten-thousandth.244

A. 90.0369
B. 5.4972
C. 2.3874
D. 0.1814


Answer: B

Mathematics

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Perform the indicated division by synthetic division.(9x2 - 68x - 32) ÷ (x - 8)

A. x + 4, R = 0 B. 9x + 4, R = 0 C. -9x - 4, R = 0 D. 4x - 8, R = 0

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Find the center (h, k) and radius r of the circle. Graph the circle.x2 + y2 + 10x + 2y + 22 = 0 

A. (h, k) = (-5, 1); r = 2

B. (h, k) = (5, -1); r = 2

C. (h, k) = (5, 1); r = 2

D. (h, k) = (-5, -1); r = 2

Mathematics

Solve the problem.The graph shows the amount of potential energy V(x) (in arbitrary energy units) stored in a large rubber band that is stretched a distance of x inches beyond its normal length.The magnitude of the force required to hold the rubber band at the position x = a is the derivative of the potential energy with respect to x, evaluated at the point  Sketch a graph of the magnitude of the force versus x.

A.

B.

C.

D.

Mathematics

Factor completely.6x2 - 72x + 216

A. 6(x + 6)2 B. 6(x - 6)2 C. (6x + 72)2 D. (6x - 72)2

Mathematics