Sure, let's go through the possible answers one by one to determine the correct formula for converting from kelvins to degrees Celsius.
1. [tex]\[{}^{\circ} C = \left(\frac{9}{5} \times K\right) + 32\][/tex]
- This formula is actually for converting from degrees Celsius to degrees Fahrenheit (not from kelvins to degrees Celsius).
2. [tex]\[{}^{\circ} C = \frac{5}{9} \times (K - 32)\][/tex]
- This seems to be a variation of the formula for converting from degrees Fahrenheit to degrees Celsius but is not related to kelvins.
3. [tex]\[{}^{\circ} C = K - 273\][/tex]
- This is the well-known formula for converting from kelvins to degrees Celsius. When you subtract 273 from the temperature in kelvins, you get the temperature in degrees Celsius.
4. [tex]\[{}^{\circ} C = K + 273\][/tex]
- This formula is incorrect for converting from kelvins to degrees Celsius. Instead, it would incorrectly increase the temperature.
Given the correct conversion formula for converting from kelvins to degrees Celsius is:
[tex]\[{}^{\circ} C = K - 273\][/tex]