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The fuel economy (in miles per gallon) of a certain car is E(x) = -0.01x2 + 0.52x +10.4, where x is the driving speed (in miles per hour, 20 ≤ x ≤ 60). At what speed is fuel economy greatest?
Two tracking stations are on the equator 151 miles apart. A weather balloon is located on a bearing of N 34°E from the western station and on a bearing of N 15°E from the eastern station. How far is the balloon from the western station? Round to t..
A hemispherical tank of radius 6 feet is positioned so that its base is circular. How much work is required to rill the tank with water through a hole in the base if the water source is at the base?
The dimensions of a closed rectangular box are measured as 60 centimeters, 50 centimeters, and 90 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating ..
The top and bottom margins of a poster are 2 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 382 square centimeters, find the dimensions of the poster with the smallest area.
The initial charge is Q = 0.001 C and the initial current is 0." Find the charge and current at time t
A school district purchases a high-volume printer, copier, and scanner for $15,000. After 10 years, the equipment will have to be replaced. Its value at that time is expected to be $3000. Write a linear equation giving the value V of the equipment..
the length and width of the base of a rectangular prism are 5.5 cm and 3 cm. The height of the prism is 6.75 cm. Find the exact value of the surface area of the prism, in square centimeters.
at full speed a motorboat can travel 64 miles upstream in 8 hours, but it can travel the same distance downstream in 4 hours. In miles per hour, what is the maximum speed of the motorboat in still water?
Using one proportion Z test to determine
Find the amount of medicine to which a body is most sensitive by finding the value of M that maximizes the derivative dR/DM where R = M^2(c/2 - M/3) and C is a constant. How is this related to Mathematics
to make a conjecture about the tangent lines and the graph with the proof of the conjecture.conjecture consider the
Binomial distribution with parameters, Suppose only 70% of all drivers in a certain state regularly wear a seat belt. A random sample of 500 drivers is selected. What is the probability that
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