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MATHEMATICS

JAMB 2023 - Question 23

Mathematics 2023 JAMB Past Questions - Question 23: T varies inversely as the cube of R when R = 3, T = 2/81, find T when R = 24.

T varies inversely as the cube of R when R = 3, T = 2/81, find T when R = 24.

A: 1/18

B: 1/13

C: 1/12

D: I/6

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Correct Answer

Explanation

T α1R3T = kR3k = TR3 = 281 x 33= 281 x 27dividing 81 by 27k = 2/2therefore, T = 2/3 x 1R3When R = 2T = 2/3 x 1/23 = 2/3 x 1/8= 1/12