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Answer :
To determine what [tex]\( C(76.1) \)[/tex] represents, we need to understand the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
1. Identify the temperature given: In this problem, the temperature given is [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit.
2. Understand what [tex]\( C(76.1) \)[/tex] means: By applying the temperature [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit into the function [tex]\( C(F) \)[/tex], we are converting this specific temperature value into degrees Celsius.
3. Calculate the result: The function to convert is:
[tex]\[
C(F) = \frac{5}{9}(F - 32)
\][/tex]
Plug in [tex]\( F = 76.1 \)[/tex] into the function:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
4. Interpret the calculation result: Based on the function and calculation, [tex]\( C(76.1) \)[/tex] represents the temperature in degrees Celsius corresponding to [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit.
Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. To be more specific based on calculation results, the Celsius temperature equivalent of [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit is approximately [tex]\( 24.5^{\circ} \)[/tex] Celsius.
1. Identify the temperature given: In this problem, the temperature given is [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit.
2. Understand what [tex]\( C(76.1) \)[/tex] means: By applying the temperature [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit into the function [tex]\( C(F) \)[/tex], we are converting this specific temperature value into degrees Celsius.
3. Calculate the result: The function to convert is:
[tex]\[
C(F) = \frac{5}{9}(F - 32)
\][/tex]
Plug in [tex]\( F = 76.1 \)[/tex] into the function:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
4. Interpret the calculation result: Based on the function and calculation, [tex]\( C(76.1) \)[/tex] represents the temperature in degrees Celsius corresponding to [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit.
Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. To be more specific based on calculation results, the Celsius temperature equivalent of [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit is approximately [tex]\( 24.5^{\circ} \)[/tex] Celsius.
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