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07 May 2025, 23:28
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
100% (01:19) correct
0% (00:00) wrong based on 3 sessions
History
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Time
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Not Attempted Yet
18 May 2025, 00:35
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OE
There are several ways to answer this question. Plug in a number for x. If x = 2, Quantity A is \(2π\), which is slightly more than 6, and Quantity B is \(2^2 = 4\). Quantity A is greater: eliminate
Choices B and C. Must Quantity A be greater? If the only other number you try is x = 3, you’ll think so, because \(3^2 = 9,\) but \(3π > 9.\) But remember, x does not have to be an integer: \(3.9^2 > 15\), whereas [fraction]3.9π < 4π[/fraction], which is a little over 12.
Could \(πx = x^2\)? Yes, if \(x = π\). Must \(x = π\)? No.
Divide each quantity by x: Now Quantity A is \(π\) and Quantity B is x. Which is bigger, \(π\) or x? We cannot tell.
Answer: D
There are several ways to answer this question. Plug in a number for x. If x = 2, Quantity A is \(2π\), which is slightly more than 6, and Quantity B is \(2^2 = 4\). Quantity A is greater: eliminate
Choices B and C. Must Quantity A be greater? If the only other number you try is x = 3, you’ll think so, because \(3^2 = 9,\) but \(3π > 9.\) But remember, x does not have to be an integer: \(3.9^2 > 15\), whereas [fraction]3.9π < 4π[/fraction], which is a little over 12.
Could \(πx = x^2\)? Yes, if \(x = π\). Must \(x = π\)? No.
Divide each quantity by x: Now Quantity A is \(π\) and Quantity B is x. Which is bigger, \(π\) or x? We cannot tell.
Answer: D
