Factor completely.64a3 - 27b3
A. (4a + 3b2)(16a2 - 12ab + 9b2)
B. (64a - 3b)(a2 + 12ab + 9b2)
C. (4a - 3b)(16a2 + 9b2)
D. (4a - 3b)(16a2 + 12ab + 9b2)
Answer: D
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Provide an appropriate response.Are the expressions 63 and 36 equal?
A. Yes B. No
Change the given quantity to the indicated unit.6 wk = day
A. 42 B. 84 C. 360 D. 144
Solve the problem.Suppose that companies I, II, and III compete for the entire market of a certain kind of washing machine. During any year, company I keeps 60% of its customers and loses 25% to II and 15% to III. On the other hand, company II keeps 50% of its customers and loses 30% to I and 20% to III. Also, company III keeps 40% of its customers and loses 35% to I and 25% to II. Currently, customers are equally divided among the three companies.Considering that this process can be modeled as a Markov process:(a) Determine the transition matrix.(b) Determine the long-run market share among I, II, and III.
What will be an ideal response?
Simplify. Write your answer in the form a + bi, where a and b are real numbers.Let z = 2 - 4i and w = 2 + 7i. Find zw.
A. 32 + 6i B. 32 - 6i C. -28i2 + 6i - 4 D. -24 - 22i