Solve the problem.In the formula A(t) = A0ekt, A(t) is the amount of radioactive material remaining from an initial amount A0 at a given time t and k is a negative constant determined by the nature of the material. An artifact is discovered at a certain site. If it has 74% of the carbon-14 it originally contained, what is the approximate age of the artifact, rounded to the nearest year? (carbon-14 decays at the rate of 0.0125% annually.)
A. 2409 yr
B. 1046 yr
C. 5920 yr
D. 2080 yr
Answer: A
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Find an antiderivative of the given function.2 cos 9x
A. sin 9x
B. 2 sin 9x
C. - 18 sin 9x
D. 
sin 9x
Solve by completing the square. Give exact solutions. Simplify radicals and reduce.x2 = 9 - 4x
A. -2 ± 1
B. -2 ± 
C. 2 + 
D. -1 ± 
Determine a general formula (or formulas) for the solution to the equation.sin ? csc ? = -2 sin ?
A. ? = 
+ 2n? or ? = 
+ 2n? or ? = n?
B. ? = 
+ n? or ? = 
+ n? or ? = n?
C. ? = 
+ n? or ? = 
+ n? or ? = n?
D. ? = 
+ 2n? or ? = 
+ 2n? or ? = n?
Find the probability.The distribution of B.A. degrees conferred by a local college is listed below, by major.MajorFrequencyEnglish2073Mathematics2164Chemistry318Physics856Liberal Arts1358Business1676Engineering 8689313What is the probability that a randomly selected degree is not in Mathematics? Give your answer as a decimal rounded to three decimal places.
A. 0.232 B. 0.768 C. 0.682 D. 0.303