Solve the problem.The half-life of an element is 4.5 × 1011 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 × 1011 yr
B. 2.63 × 1011 yr
C. 1.26 × 1011 yr
D. 5.83 × 1011 yr


Answer: B

Mathematics

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Translate the situation into mathematical language. You need not actually solve the problem.Find two consecutive integers such that 3 times the first plus 7 times the second is 107.

A. Let h be the first integer; 7h(3(h + 1)) = 107 B. Let h be the first integer; 3h + 7(h + 1) = 107 C. Let h be the first integer; 7h + 3(h + 1) = 107 D. Let h be the first integer; 3h - 7(h + 1) = 107

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A. d(x) = 
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C. d(x) = x2 + 2x + 2
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Find the exact value of the expression. Do not use a calculator.cot 45° - sin 60°

A.
B.
C. - 
D.

Mathematics