Solve the variation problem.The intensity of a radio signal from a radio station varies inversely as the square of the distance from the station. If the intensity is 8000 units at a distance of 2 miles, what will it be at a distance of 14 miles? Round to the nearest unit.

A. 127 units
B. 189 units
C. 163 units
D. 146 units


Answer: C

Mathematics

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Use Newton's method to approximate all the intersection points of the following pairs of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. Round the result to five decimal places.y = - x3  and y = 2x - 1

A. x ? 0.45340 B. x ? -0.68233 C. x ? 1.61803 D. x ? -0.45340

Mathematics

Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = sin-1(x2 + y2)

A. Domain: all points in the xy-plane satisfying x2 + y2 ? 1; range: real numbers -  ? z ? ; level curves: circles with centers at (0,0) and radii r, 0 < r ? 1
B. Domain: all points in the xy-plane; range: real numbers -  ? z ? ; level curves: circles with centers at (0, 0)
C. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at (0, 0)
D. Domain: all points in the xy-plane satisfying x2 + y2 ? 1; range: real numbers -  ? z ? ; level curves: circles with centers at (0, 0)

Mathematics

Solve the equation.s + 1 = 8

A. 7 B. -7 C. -9 D. 9

Mathematics

Find the values of a, b, and c for which the quadratic equation ax2 + bx + c = 0 has the given numbers as solutions. Then use those values to write a quadratic equation.-5 + , -5 - 

A. x2 - 10x + 20 = 0 B. x2 + 10x + 30 = 0 C. x2 + 25x + 30 = 0 D. x2 + 10x + 20 = 0

Mathematics