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Solve the following equation for d. Be sure to take into account whether a letter is capitalized or not. (f^(3))/(d)=(8)/(T) Answer: d=

Solve the following equation for d d . Be sure to take into account whether a letter is capitalized or not.\newlinef3d=8T \frac{f^{3}}{d}=\frac{8}{T} \newlineAnswer: d= d=

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Q. Solve the following equation for d d . Be sure to take into account whether a letter is capitalized or not.\newlinef3d=8T \frac{f^{3}}{d}=\frac{8}{T} \newlineAnswer: d= d=
  1. Isolate d: First, we need to isolate dd on one side of the equation to solve for it. We can do this by multiplying both sides of the equation by dd and then dividing both sides by (8/T)(8/T).\newlineCalculation: (f3)/(d)⋅d=(8/T)⋅d(f^{3})/(d) \cdot d = (8/T) \cdot d\newlineThis simplifies to: f3=(8d)/Tf^{3} = (8d)/T\newlineNow divide both sides by 88: (f3)/8=d/T(f^{3})/8 = d/T\newlineFinally, multiply both sides by TT to solve for dd: d=(T⋅f3)/8d = (T \cdot f^{3})/8
  2. Calculate dd: Now we check for any potential math errors by substituting the value of dd back into the original equation to see if the sides are equal.\newlineSubstitute dd back into the original equation: f3d=8T\frac{f^{3}}{d} = \frac{8}{T}\newlineUsing d=T⋅f38d = \frac{T \cdot f^{3}}{8}, we get: f3(T⋅f38)=8T\frac{f^{3}}{\left(\frac{T \cdot f^{3}}{8}\right)} = \frac{8}{T}\newlineSimplify the left side: 8T=8T\frac{8}{T} = \frac{8}{T}\newlineSince both sides are equal, there are no math errors.

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