Express as a single logarithm and, if possible, simplify. log(t3 + 64) - log(t + 4)
A. log(t2 - 4t + 16)
B. log(t2 + 4t + 16)
C. log(t3 - t + 64)
D.
Answer: A
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Multiply. Write the answer in simplest form. Find both an exact product and an estimated product. ?
A. Exact:
Estimate: 20
B. Exact:
Estimate: 20
C. Exact: Exact:
Estimate: 12
D. Exact:
Estimate: 12
Solve. Write the fraction in simplest form.The following graph is called a circle graph or pie chart. Each sector (shaped like a piece of pie) shows the number of each color of marbles that John has: 256 are red, 160 are blue, 120 are yellow, 184 are green, and 80 are clear. What fraction of the marbles are red? Write the fraction in simplest form.
A.
B.
C.
D.
Find all absorbing states for the transition matrix, and indicate whether or not the matrix is that of an absorbing Markov chain.
A. State 1 is absorbing; the matrix is that of an absorbing Markov chain. B. States 1 and 2 are absorbing; the matrix is not that of an absorbing Markov chain. C. State 2 is absorbing; the matrix is that of an absorbing Markov chain. D. State 2 is absorbing; the matrix is not that of an absorbing Markov chain.
Identify the intercepts.
A. (1, 0), (0, -4) B. (1, 0), (0, 4) C. (-1, 0), (0, 4) D. (-4, 0), (0, 4)