Solve the problem.In the formula A(t) = A0ekt, A is the amount of radioactive material remaining from an initial amount A0 at a given time t, and k is a negative constant determined by the nature of the material. A certain radioactive isotope decays at a rate of 0.275% annually. Determine the half-life of this isotope, to the nearest year.

A. 109 yr
B. 3 yr
C. 252 yr
D. 182 yr


Answer: C

Mathematics

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Let U = {q, r, s, t, u, v, w, x, y, z}  A = {q, s, u, w, y}  B = {q, s, y, z}  C = {v, w, x, y, z}. Determine the following.C' ? A'

A. {s, t} B. {q, r, s, t, u, v, x, z} C. {w, y} D. {q, s, u, v, w, x, y, z}

Mathematics

The post office recorded the weights of packages sent on a particular day and used the results to construct a histogram. Use the histogram to solve the problem. 0-910-1920-2930-39Weight of Package (pounds)Find the number of packages 19 pounds and under.

A. 6 packages B. 5 packages C. 11 packages D. 2 packages

Mathematics

Solve the problem.The image of a figure under the translation that takes P to P' is shown. Find the original figure. Note again, the given figure is the image after translation.

A.

B.

C.

D.

Mathematics

Find the volume of the circular cylinder. Use 3.14 or  for ? as indicated.Use  for ?.

A. 5280 m3
B.

105,600 m3

C. 443,520 m3
D. 422,400 m3

Mathematics