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R is inversely proportional to the cube of S, if R = 2 and S = 7, how do you find the value of k?

Answer 1

To find the value of k, we can use the formula for inverse proportionality: R = k/S^3. Rearranging the formula, we have k = R * S^3. Plugging in the given values R = 2 and S = 7, we can calculate k as follows: k = 2 * 7^3 = 2 * 343 = 686. Therefore, the value of k is 686.

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Answer 2

Nathan Axel

#k = 686#

If #R# is inversely proportional to the cube of #S# #color(white)("XXX")RS^3=k# for some constant #k#

Given that #R=2# and #S=7# is a solution to this equation, we have #color(white)("XXX")2*7^3 = k# #rarrcolor(white)("XX")k = 686#

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Answer from HIX Tutor

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.