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Please help I have no idea how to help my child do this problem

 

 

Suppose that a^2 varies inversely with b^3. if a=7 when b=3 find the value of a when b=6?

 Feb 3, 2020
edited by Guest  Feb 3, 2020
edited by Guest  Feb 3, 2020
edited by Guest  Feb 3, 2020
 #1
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a^2 = k / b^3       to find the proprtionality constant , k ,  sub in the given values

 

7^2  = k / 3^3

k =1323

 

 

a^2  = 1323/6^3

 

a = 2.475     ( taking the positive root)

 Feb 3, 2020

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