To solve this, let's break down the information provided step by step.
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Understanding the power function: The function you provided is \( F(x) = 0.718 \cdot x^{1.412} \). This is indeed a power function, where \( 0.718 \) is a coefficient and \( 1.412 \) is the exponent.
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Calculating \( F(35) \): You've mentioned that \( F(35) = 108.730 \). This means that substituting \( x = 35 \) into the function results in a value of approximately \( 108.730 \), as follows:
\[ F(35) = 0.718 \cdot 35^{1.412} \]
Performing that calculation would yield the result of approximately \( 108.730 \), rounded to the nearest thousandth.
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Interpreting the result: According to your statement, this calculation indicates that there were approximately 478,767 female engineers in the year 2040.
To finish this, the information can be summarized as follows:
- The function \( F(x) = 0.718 \cdot x^{1.412} \) gives a prediction of a certain quantity (in this case, possibly the number of engineers).
- When \( x = 35 \), the value of \( F(35) \) is approximately \( 108.730 \).
- Using this function model, projections suggest that there will be approximately 478,767 female engineers in the year 2040.
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