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. 4
3 + 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