# Z varies inversely as the cube of d. If z = 3 when d = 2, how do you find z when d is 4?

To find z when d is 4, we can use the inverse variation formula. The formula states that z is inversely proportional to the cube of d, which can be written as z = k/d^3, where k is the constant of variation.

To find the value of k, we can substitute the given values of z and d into the formula. When z = 3 and d = 2, we have 3 = k/2^3. Solving for k, we get k = 3 * 2^3 = 24.

Now that we have the value of k, we can use it to find z when d is 4. Substituting d = 4 and k = 24 into the formula, we get z = 24/4^3 = 24/64 = 3/8.

Therefore, when d is 4, z is equal to 3/8.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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