Solve the problem.Imagine a large tank with cross-sectional area A. The bottom of the tank has a circular drain with cross-sectional area a. Assume the tank is initially filled with water to a height h(0) = H. The height of the water as it flows out of the tank is described by the equation
where
and
is the acceleration due to
gravity. Find the water height function for
Then determine the approximate time at which the tank is first empty. If necessary, round to two decimal places.
A. h(t) = (1.4 - 0.2t)2; 2.24
B. h(t) = (1.4 - 0.2t)2; 1.58
C. h(t) = (1.4 - 0.1t)2; 4.47
D. h(t) = (1.4 - 0.1t)2; 3.16
Answer: D
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Perform the indicated operation(s). Simplify if possible. -
A.
B.
C.
D.
Find the x-intercepts of the function.g(x) = x2 + 14x + 38
A. ( -14 + , 0)
B. (7 - , 0), (7 +
, 0)
C. (7 - , 0), ( 7 +
, 0)
D. (-7 - , 0), ( -7 +
, 0)
Solve the problem.A weather forecaster predicts that the temperature will drop 5 degrees each hour for the next 7 hours. If the temperature is 18 degrees before the temperature starts falling, what is the temperature after the drop?
A. 6° B. 35° C. -17° D. -35°
Solve and check your answer.-5a + 5 + 6a = 7 - 22
A. a = 34 B. a = -34 C. a = 20 D. a = -20