Find the x'y' coordinates of the point (10, 9) if the coordinate axes are rotated through 30°.
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Identify a method whereby a random sample can be selected from the population.The population is the 335 faculty members at the local college. A union organizer wants to investigate how the faculty members feel about joining the union. He will ask 45 randomly selected faculty members how they feel about the union.
A. Visit the offices of the faculty and choose the first 45 faculty members found there. B. Visit the college and choose every 5th person leaving the faculty members' gym until a sample of 45 is obtained. C. Assign each faculty member a 3-digit number between 1 and 335. Use a table of random numbers to generate 45 random numbers between 1 and 335. Choose the faculty members corresponding to those numbers.
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
Match the graph to one of the listed functions. 
A. f(x) = -x2 - 6x B. f(x) = -x2 - 6 C. f(x) = x2 - 6 D. f(x) = x2 - 6x
Find the domain of the function.f(x) = ln (-8 - x)
A. (-8, ?) B. (8, ?) C. (-?, -8) D. (-?, 8)