Solve the problem.Let P(t) be the quantity of strontium-90 remaining after t years. Suppose the half-life of strontium-90 is 28 years. Which of the following equations expresses the half-life information?
A. P = 28P0
B. 28 = P0e-kt
C. P(28) = P0
D. 28 = P0
E. none of these
Answer: C
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Calculate the work done by the force F along the path C.F = i +
j +
k; C: r(t) = t6i + t5j + t3k , 0 ? t ? 1
A. W = 0
B. W = 1
C. W =
D. W = 14
Solve the problem.Find the value for x in the following special right triangle. Use exact values. 4 in.
A. 16 in.
B. 2 in.
C. 4 in.
D. 4 in.
Determine the intervals on which the function is increasing, decreasing, and constant.
A. Increasing on (-3, 0); Decreasing on (-5, -3) and (2, 5); Constant on (0, 2) B. Increasing on (-3, -1); Decreasing on (-5, -2) and (2, 4); Constant on (-1, 2) C. Increasing on (-3, 1); Decreasing on (-5, -3) and (0, 5); Constant on (1, 2) D. Increasing on (-5, -3) and (2, 5); Decreasing on (-3, 0); Constant on (0, 2)
Predict the general, or nth term, an, of the sequence.-3, 12, -48, 192, . . .
A. -12n-1 B. -3(-4)n-1 C. -3 + (-4)n D. -3(-4)n