Solve the problem using the quadratic formula.When water runs out of a hole in a cylindrical container, the height of the water in the container can often be modeled by a quadratic function. Assume that the height of the water in a particular metal can with a small hole can be modeled by h = 0.0005x2 - 0.15x + 8, where x is the time (sec) and h is the height (cm). Use the quadratic formula to estimate the time when the height is 6 cm. Round your answer to the nearest second.
A. 21 sec
B. 20 sec
C. 18 sec
D. 14 sec
Answer: D
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Use the fact that f(x) =
f
to find the limit.
n
A. e10 B. e5 C. e-5 D. e-1/10
Find the volume of the solid generated by revolving the shaded region about the given axis.About the y-axis
A. 3?
B. 18?
C. ?
D. ?
Write as a decimal number rounded as indicated.0.; Round to the nearest thousandth.
A. 0.697 B. 0.696 C. 0.699 D. 0.700
Solve the problem. Assume all numbers are approximate unless otherwise stated or the number has been determined by a definition or counting process.The expression will tell you how high, in meters, you must raise the hammer of a pile driver when you know the mass (m) of the hammer in kg, and what potential energy (PE) in Joules is required. Find the height to which a 59-kg hammer must be raised to have 1780 J of potential energy.
A. 3.1 m B. 3 m C. 3.079 m D. 3.08 m