Solve the problem.The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 5 ft from a light is 2 foot-candles, find the intensity on a screen 20 ft from the light.

A.  foot-candle
B.  foot-candle
C. 2 foot-candles
D. 1 foot-candles


Answer: B

Mathematics

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Determine whether Rolle's Theorem applies to the following functions on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem.f(x) = x3 + 3x2 + 3x + 1; [-1, 4]

A. = 1
B. = 0
C. = 
D. Rolle's Theorem does not apply

Mathematics

Solve the given differential equation.x dy + y dx - 4x y3 dy = 0

A. ln xy - y3 = 0
B. ln xy - y3 = c
C. ln xy - 4y3 = c
D. ln xy + y3 = c

Mathematics

Solve the problem.Richard works for a company that pays $26 per hour for the first forty hours and $39 per hour for each hour in the week worked above the 40 hours. If he earned $1664 this week, how many overtime hours did he work?

A. 56 hr B. 24 hr C. 15 hr D. 16 hr

Mathematics

Graph the equation using the slope and y-intercept.-2.4x + 1.7y = 7

A.

B.

C.

D.

Mathematics