Solve the problem.The half-life of an element is 4.5 × 1012 yr. How long does it take a sample of the element to decay to  of its original mass? Use  where A0 is the initial amount, T is the half-life, and t is the time. (Express results in scientific notation, rounded to the nearest hundredth.)

A. 1.29 × 1012 yr
B. 2.63 × 1012 yr
C. 5.83 × 1012 yr
D. 1.26 × 1012 yr


Answer: B

Mathematics

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List all the factors of each number.159

A. 3 ? 53 B. 3 ? 51 C. 3 ? 3 D. 3 ? 3 ? 53

Mathematics

If R1 = 47 ê, R2 = 53 ê, and R3 = 90 ê, then IT = 30 mA. Find I3.



a. 6.50 mA
b. 11.04 mA
c. 12.45 mA
d. 9.48 mA
e. 3.08 mA

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Sketch the graph of the polynomial function.f(x) = x3 + 5x2 + 7x + 3

A.

B.

C.

D.

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Write the partial fraction decomposition of the rational expression.

A.  +  + 
B.  +  + 
C.  +  + 
D.  +  + 

Mathematics