Provide an appropriate response.If a ? b, is it always true that a2 ? b2? Explain.
What will be an ideal response?
Explanations will vary. One possible answer:No. It is only true that a2 ? b2 if 
? 
. For example, it is true that -5 ? -3. However, it is not true that (-5)2 ? (-3)2 since 25 > 9.
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Solve the problem.Find an equation of the circle that passes through the points (4, 6), (-6, 2), and (1, -3).
A. 
2 + 
2 = 
B. 
2 + 
2 = 
C. 
2 + 
2 = 
D. 
2 + 
2 = 
Find the values of p for which the series is convergent.
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Find the first term and the common ratio for the geometric sequence. Round approximations to the nearest hundredth.a2 = 9, a6 = 729
A. a1 = 3, r = 3 B. a1 = 9, r = 3 C. a1 = 3, r = 0.33 D. a1 = 729, r = 0.33
Find the probability.In a certain city, 18% of the people are business executives, and 21% of the business executives drive Cadillacs. Assuming independent events, what is the probability of choosing a business executive who drives a Cadillac? Round the answer to the nearest hundredth.
A. .04 B. .21 C. .18 D. .38