Solve the problem.A sample of 1000 g of lead-210 decays to polonium-210 according to the function given by  where t is time in years. What is the amount of the sample after 70 years? Round the answer to the nearest gram.

A. 29 g
B. 77 g
C. 106 g
D. 9393 g


Answer: C

Mathematics

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Solve the problem.A 2,000-L tank is initially filled with a copper sulfate solution with a concentration of 50 g/L. A copper sulfate solution with a concentration of 20 g/L flows into the tank at a rate of 8 L/min. The thoroughly mixed solution is drained from the tank at a rate of 8 L/min.(a) Write an initial value problem for the mass of the copper sulfate.(b) Solve the initial value problem.

A. (a) m'(t) = 0.004m + 160, m(0) = 50 (b) m = -39,950e0.004t + 320,000 B. (a) m'(t) = -0.004m + 20, m(0) = 50 (b) m = -39,950e-0.004t + 40,000 C. (a) m'(t) = -250m + 160, m(0) = 100,000 (b) m = 60,000e-0.004t + 320,000 D. (a) m'(t) = -0.004m + 160, m(0) = 100,000 (b) m = 60,000e-0.004t + 40,000

Mathematics

Simplify the rational expression completely.

A.
B. 13xy 
C.
D. 13x6y2

Mathematics

The question(s) that follow refer to the problem of finding the minimum spanning tree for the weighted network shown below. Which of the following edges of the given network are not part of the minimum spanning tree?

A. EB B. BD C. AC D. AB E. none of these

Mathematics

Solve the problem.Find the image of the given figure under the reflection that sends P to P'.

A.

B.

C.

D.

Mathematics