Solve the problem.How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t) = 450e-0.157t, where t is the time in years? Round your answer to the nearest hundredth year.

A. 38.91 years
B. 4.41 years
C. 70.65 years
D. 43.33 years


Answer: B

Mathematics

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Solve the problem.Escott used the formula n2 - 79n + 1601 to generate prime numbers for whole numbers n. The formula fails to produce a prime for n = 80. Evaluate Escott's formula for n = 81 and determine whether this is a prime number. If it is not a prime number, give its prime factors.

What will be an ideal response?

Mathematics

Evaluate the integral using the given substitution. dt, u = 3 - sin 

A. 3sin  + C
B. 3 + C
C. 43 + C
D. - 3 + C

Mathematics

Solve the equation.-4a = 24

A. -28 B. 28 C. -6 D. 1

Mathematics

Translate the ellipse with the given equation so that it is centered at the given point. Find the new equation and sketch its graph. +  = 1; (-3, 4)

A.  +  = 1

B.  +  = 1

C.  +  = 1

D.  +  = 1

Mathematics