nking18paqwbi nking18paqwbi
  • 01-07-2018
  • Mathematics
contestada

T varies inversely with the cube of W. When W is 3, T is 1/9. Find the value of W when T is 1/243

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DeanR
DeanR DeanR
  • 01-07-2018
T varies inversely with the cube of W 

[tex]T = k/W^3[/tex]

[tex]\frac{1}{9} = k/3^3[/tex]

[tex]k = \dfrac{3^3}{9} = 3[/tex]

[tex]W^3 = k/T[/tex]

[tex]W = \sqrt[3]{ k/T }[/tex]

When [tex]T=1/243[/tex]

[tex]W = \sqrt[3]{ 3/(1/243)}= \sqrt[3]{729} = 9[/tex]


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schoolsomethingg123 schoolsomethingg123
  • 16-05-2022

Answer:

9

Step-by-step explanation:

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