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Answer :
Let’s break down what [tex]\( C(F) \)[/tex] represents in a clear and detailed manner.
Firstly, understand what [tex]\( F \)[/tex] and [tex]\( C \)[/tex] stand for:
- [tex]\( F \)[/tex] typically represents a temperature in degrees Fahrenheit.
- [tex]\( C \)[/tex] typically represents a temperature in degrees Celsius.
The function [tex]\( C(F) \)[/tex] implies converting a temperature given in Fahrenheit to Celsius.
Here's how we generally convert Fahrenheit to Celsius:
The formula to convert Fahrenheit to Celsius is:
[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]
This formula tells us that to find the temperature in Celsius ([tex]\( C \)[/tex]) given a temperature in Fahrenheit ([tex]\( F \)[/tex]), we subtract 32 from the Fahrenheit temperature and then multiply the result by [tex]\( \frac{5}{9} \)[/tex].
Using this conversion method, [tex]\( C(F) \)[/tex] represents the temperature in Celsius when given a temperature [tex]\( F \)[/tex] in Fahrenheit. In essence, [tex]\( C(F) \)[/tex] is a function that converts a Fahrenheit temperature to the equivalent Celsius temperature.
So, to answer the question directly:
[tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This means:
- It is not the temperature of [tex]\( F \)[/tex] degrees Celsius converted to degrees Fahrenheit.
- It is not the temperature of [tex]\( C \)[/tex] degrees Fahrenheit converted to degrees Celsius.
- It is not the temperature of [tex]\( C \)[/tex] degrees Celsius converted to degrees Fahrenheit.
Therefore, the correct statement is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Firstly, understand what [tex]\( F \)[/tex] and [tex]\( C \)[/tex] stand for:
- [tex]\( F \)[/tex] typically represents a temperature in degrees Fahrenheit.
- [tex]\( C \)[/tex] typically represents a temperature in degrees Celsius.
The function [tex]\( C(F) \)[/tex] implies converting a temperature given in Fahrenheit to Celsius.
Here's how we generally convert Fahrenheit to Celsius:
The formula to convert Fahrenheit to Celsius is:
[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]
This formula tells us that to find the temperature in Celsius ([tex]\( C \)[/tex]) given a temperature in Fahrenheit ([tex]\( F \)[/tex]), we subtract 32 from the Fahrenheit temperature and then multiply the result by [tex]\( \frac{5}{9} \)[/tex].
Using this conversion method, [tex]\( C(F) \)[/tex] represents the temperature in Celsius when given a temperature [tex]\( F \)[/tex] in Fahrenheit. In essence, [tex]\( C(F) \)[/tex] is a function that converts a Fahrenheit temperature to the equivalent Celsius temperature.
So, to answer the question directly:
[tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This means:
- It is not the temperature of [tex]\( F \)[/tex] degrees Celsius converted to degrees Fahrenheit.
- It is not the temperature of [tex]\( C \)[/tex] degrees Fahrenheit converted to degrees Celsius.
- It is not the temperature of [tex]\( C \)[/tex] degrees Celsius converted to degrees Fahrenheit.
Therefore, the correct statement is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
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