Solve the problem.The bacteria in a container quadruples every day. If there are initially 100 bacteria, write an equation that models the number of bacteria A after d days. How many bacteria will there be after 1 week?
What will be an ideal response?
A = 100 ? 4d; 1,638,400 bacteria
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Solve the problem.An auxiliary fuel tank for a helicopter is shaped like the surface generated by revolving the curve , - 2 ? x ? 2, about the x-axis (dimensions are in feet). If a cubic foot holds 7.481 gallons and the helicopter gets 3 miles to the gallon, how many additional miles will the helicopter be able to fly once the tank is installed (to the nearest mile)?
A. 75 B. 150 C. 50 D. 38
Solve the problem.Maxwell's theory of electromagnetic waves established that electromagnetism moved through space in waves. Under certain conditions, an equation that Maxwell used to explain the motion of such waves would take the form where ? is the angle of incidence of the original wave, ? is the angle of incidence of the wave when reflected, A is the amplitude of the original wave, and B is the amplitude of the wave when reflected. Find the value of
when
-4.0px;" /> and
Round to four decimal places.
A. -0.4789
B. 0.3492
C. -0.3872
D. 0.1661
Shade the solution set in the xy-plane.y ? 4x - x2
A.
B.
C.
D.
Solve the problem.The position of a weight attached to a spring is s(t) = -9 cos 12?t inches after t seconds. What is the maximum height that the weight reaches above the equilibrium position and when does it first reach the maximum height?
A. The maximum height of 9 inches is first reached after 6 seconds. B. The maximum height of 18 inches is first reached after 3 seconds. C. The maximum height of 18 inches is first reached after 6 seconds. D. The maximum height of 9 inches is first reached after 0.08 seconds.