A country is not building many nuclear plants, but the ones it has are running at nearly full capacity. The output (as a percent of total capacity) of nuclear plants is described by the equation

y=1.9263t+70.081

where t is measured in years, with corresponding to the beginning of 1990.
If the utilization of nuclear power continues to grow at the same rate and the total capacity of nuclear plants in the country
remains constant, by what year can the plants be expected to be generating at maximum capacity?

a. 2001
b. 2015
c. 2005
d. 2008
e. 2004


c. 2005

Mathematics

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Solve the problem.A 100 gal tank is half full of distilled water. At time = 0, a solution containing 2 lb/gal of concentrate enters the tank at the rate of 4 gal/min, and the well-stirred mixture is withdrawn at the rate of   When the tank is full, how many pounds of concentrate will it contain?

A. 187.5 pounds B. 175 pounds C. 150 pounds D. 200 pounds

Mathematics

For the pair of functions, find the indicated composition.f(x) = , g(x) = 9x + 8Find (g ? f)(x).

A. x
B. 9x + 64
C. x - 
D. x + 16

Mathematics

Sketch the surface z = f(x,y).f(x, y) = 1 - 

A.

B.

C.

D.

Mathematics

Answer the question(s) based on the following situation: Over the last 80 years records have been kept of the annual rainfall in the Tasmanian desert. The distribution of annual rainfall is approximately normal and has no outliers. The minimum of 2.5 inches of rain occurred in 1959; the maximum of 9.7 inches of rain occurred in 1938.The standard deviation of the rainfall distribution is approximately

A. 2.7 inches. B. 1.2 inches. C. 1.8 inches. D. 3.6 inches. E. none of these

Mathematics