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write a general formula to describe the variation. m varies directly with the square of d and inversely with the square root of x; when and

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Final answer:

The general formula that describes the variation is m = kd^2/x^(1/2), where m varies directly with the square of d and inversely with the square root of x.

Step-by-step explanation:

The general formula to describe the variation is: m = kd^2/x^(1/2)

Where:

  • m represents the variable that varies directly with the square of d and inversely with the square root of x.
  • k is the constant of variation.

For example, if k = 3, d = 2, and x = 4, the formula would be m = 3(2)^2/4^(1/2), which simplifies to m = 6/2, resulting in m = 3.

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