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 15 ft from the light.

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


Answer: B

Mathematics

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Identify the equation without completing the square.4x2 - 4x + y - 1 = 0

A. parabola B. hyperbola C. ellipse D. not a conic

Mathematics

Solve the problem.The concentration of alcohol in a person's blood is measurable. Suppose that the risk R (given as a percent) of having an accident while driving a car can be modeled by the equation R = 5ekxwhere x is the variable concentration of alcohol in the blood and k is a constant.Suppose that a concentration of alcohol in the blood of 0.07 results in a 10% risk  of an accident. Find the constant k in the equation.Using this value of k, what is the risk if the concentration is 0.11?

What will be an ideal response?

Mathematics

Start with the graph of y = ex. a) Describe a sequence of transformations that results in the graph of y = f(x); b) Find the range of f(x); c) Find the horizontal asymptote of the graph of f.f(x) = e4x + 5

A. a) The graph of y = ex is stretched horizontally by a factor of  and shifted down five units.
b) (-5, ?)
c) y = -5
B. a) The graph of y = ex is compressed horizontally by a factor of  and shifted up five units.
b) (5, ?)
c) y = 5
C. a) The graph of y = ex is compressed horizontally by a factor of 4 and shifted up five units.
b) (5, ?)
c) y = 5
D. a) The graph of y = ex is compressed vertically by a factor of  and shifted up five units.
b) (5, ?)
c) y = 5

Mathematics

Use the prime factorization method to find the LCM of the variable expressions.2xy2 and x3y

A. 5x3y2 B. 4x2y3 C. 2x3y2 D. 4x3y2

Mathematics