IF C IS JOINTLY VARIES AS S AND INVERSELY VARIES AS THE FORTHROOT OF M WHERE C=23083 AND M=256 WHERE S=55 FIND THE FORMU
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To find the formula relating the variables C, S, and M, given the information that C jointly varies with S and inversely varies with the fourth root of M, we can start by writing the following equation:
C = k * S * (1/√[M^(1/4)])
Here, k is the constant of proportionality.
Next, we will substitute the given values of C, S, and M into the equation:
23083 = k * 55 * (1/√[256^(1/4)])
To simplify further, we can first evaluate 256^(1/4):
256^(1/4) = 4
So, the equation becomes:
23083 = k * 55 * (1/√4)
Simplifying √4:
23083 = k * 55 * (1/2)
Now, we can solve for k by rearranging the equation:
k = (23083 * 2) / (55 * 1)
k ≈ 842.236
Finally, substituting the value of k back into the equation:
C = 842.236 * S * (1/√[M^(1/4)])
Thus, the formula relating C, S, and M is approximately:
C ≈ 842.236 * S * (1/√[M^(1/4)])