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At what numerical value do the Kelvin and Fahrenheit scales have the same temperature? Answer with a decimal with 5 digits after the dot.

 Jul 11, 2024
 #3
avatar+1926 
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First, let's establish the equation between Farenheit and Kelvin. 

We have 

\(F = \frac{9} {5} ( K − 273 ) + 32\)

 

Now, since we want them to be equal, let's set a varianle. 

Let's let K and F both be X. Thus, we have the equation 

\(X = \frac{9} {5} ( X − 273 ) + 32\)

 

So, after we solve for X, we get that

\(X=574.25\)

 

So 574.25 is our answer. 

 

Thanks! :)

 Jul 11, 2024

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