Solve the problem.The formula v =  can be used to estimate the maximum safe velocity v, in miles per hour, at which a car can travel along a curved road with a radius of curvature r, in feet. To the nearest whole number, find the radius of curvature if the maximum safe velocity is 30.

A. 144 ft
B. 900 ft
C. 2250 ft
D. 360 ft


Answer: D

Mathematics

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Plot the point whose polar coordinates are given.

A.

B.

C.

D.

Mathematics

Find both the parametric and the vector equation of the line.The line through (0, 1, 0) in the direction of the vector v = (3, 0, -1)

A. x = 3, y = t, z = -1; r = (3, 0, -1) + t(0, 1, 0) B. x = 3, y = t, z = -1; r = (0, 1, 0) + t(3, 0, -1) C. x = 3t, y = 1, z = -t; r = (0, 1, 0) + t(3, 0, -1) D. x = 3t, y = 1, z = -t; r = (3, 0, -1) + t(0, 1, 0)

Mathematics

Use the following definitions to translate the statement into words.  p: The monitor is included.  q: The color printer is optional.  r: The zip drive is extra.~(p ? q) ? (r ? ~q)

A. If the monitor is included and the color printer is optional, then the zip drive is extra or the color printer is not optional. B. It is not true that if the monitor is included or the color printer is optional, then the zip drive is extra and the color printer is not optional. C. It is not true that if the monitor is included and the color printer is optional, then the zip drive is extra or the color printer is not optional. D. If the monitor is included and the color printer is optional, then it is not true that the zip drive is extra or the color printer is not optional.

Mathematics

Find the remainder by long division.(-12x3 - 10x2 + 5x + 10) ÷ (3x + 4)

A. 2 B. 0 C. 14 D. 17

Mathematics