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from the given equations listed below, which are the linear equations?
Equation I: C = 2πr
Equation II: A = πr2
Equation III: V = 43πr2
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GPT-5 mini
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Only Equation I.
Reason: a linear equation in r has r to the first power (form y = k r + b).
I: C = 2πr is linear in r.
II: A = πr^2 is quadratic (r^2).
III: V = (4/3)πr^3 (or as written with r^2) is not linear (involves r to a higher power).
If III was meant differently, tell me the intended exponents and I’ll re-check.
Reason: a linear equation in r has r to the first power (form y = k r + b).
I: C = 2πr is linear in r.
II: A = πr^2 is quadratic (r^2).
III: V = (4/3)πr^3 (or as written with r^2) is not linear (involves r to a higher power).
If III was meant differently, tell me the intended exponents and I’ll re-check.
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