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Today, 03:01

The mass, m, of an object varies directly as the cube of its length, I.

m = 250 when I = 5.

Find m when I = 7

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Answers (2)
  1. Today, 04:15
    0
    Answer: 350

    Step-by-step explanation:

    m = kl (1)

    Let 'k' be the constant of proportionality

    When, m = 250

    l = 5

    inputting the values into equation (1)

    250 = k5

    dividing both sides by 5

    250/5 = k5/5

    50 = k

    To find m, when l = 7,

    Given m = kl

    where k = 50 and l = 7

    m = 50 x 7

    m = 350
  2. Today, 06:36
    0
    m = 686.

    Step-by-step explanation:

    Direct variation:

    m = kl^3 where k is a constant.

    m = 250 when l = 5, so

    250 = k * (5) ^3

    k = 250 / 125 = 2

    So the equation of variation is m = 2l^3.

    When l = 7:

    m = 2 * (7) * 3

    = 2 * 343

    = 686.
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