T varies inversely with the cube of W. When wis 3, T is a Find the value of w when Tis 233 · W = [?]​

Question

T varies inversely with the cube of W. When wis 3, T is a Find the value of w when Tis 233 · W = [?]​

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Bơ 6 months 2021-08-09T16:45:28+00:00 1 Answers 13 views 0

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  1. dangkhoa
    0
    2021-08-09T16:47:27+00:00
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    Answer:

    cuberoot[27a/233

    Step-by-step explanation:

    If T varies inversely with the cube of W, then;

    T = k/W³

    k = TW³

    If W = 3 and T ,= a

    k = a(3)³

    k = 27a

    To get W when T is 233

    Recall

    T = k/W³

    233 = 27a/W³

    233w³ = 27a

    W³= 27a/233

    w = cuberoot[27a/233]

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