Solve the problem.The decay of 466 mg of an isotope is given by A(t) = 466e-0.013t, where t is time in years. Find the amount left after 79 years.

A. 165 mg
B. 460 mg
C. 167 mg
D. 84 mg


Answer: C

Mathematics

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Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = 6x2y; R = {(x, y): 0 ? x ? 4, 0 ? y ? 3}

A. 1256 B. 676 C. 2256 D. 576

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Solve the equation for the interval [0, 2?).sec2x - 2 = tan2x

A. x = 
B. x = 
C. No solution
D. x = 

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The Cobb-Douglas production function for an automobile manufacturer is where x is the number of units of labor and y is the number of units of capital. Estimate the average production level if the number of units of labor x varies between 200 and 250 and the number of units of capital y varies between 200 and 250. Round your answer to two decimal places. ?

A. 22,487.73 B. 22,467.73 C. 22,477.73 D. 22,498.18 E. 22,457.28

Mathematics

Express in terms of logarithms of a single variable or a number.log20 

A. log20(3) - log20 s
B. log20 3 ?  log20 r ÷ log20 s
C. log20 s - log20 3 -  log20 r
D. log20 3 +  log20 r - log20 s

Mathematics