Answer:
Hello! The answer is 67.
Step-by-step explanation:
Why? Because you just need to input the numbers in the function. so 2:00 pm (14:00), minus 6:00, equals 8 hours, so I(8)=(96-64)/36=8/9. Now that we found I, we can use it to find T. T(8/9) = sqrt(4444.(4)), which is approximately 67.
The question is an illustration of composite functions, where two or more functions are combined in 1.
The closest temperature of the soil at 2:00pm is 66.67.
Given
[tex]I(h) = \frac{12h - h^2}{36}[/tex]
[tex]T(I)= \sqrt{5000I}[/tex]
First, we calculate the intensity of the soin at 2.00pm
[tex]h = 2.00 pm - 6.00am[/tex] -- number of hours since 6.00 am
[tex]h = 8[/tex]
So, we have:
[tex]I(h) = \frac{12h - h^2}{36}[/tex]
[tex]I(8) = \frac{12 \times 8 - 8^2}{36}[/tex]
[tex]I(8) = \frac{96 - 64}{36}[/tex]
[tex]I(8) = \frac{32}{36}[/tex]
[tex]I(8) = 0.889[/tex]
Substitute 0.889 for I in [tex]T(I)= \sqrt{5000I}[/tex] to calculate the temperature
[tex]T(0.889) = \sqrt{5000 \times 0.889}[/tex]
[tex]T(0.889) = \sqrt{4445}[/tex]
[tex]T(0.889) = 66.67[/tex]
The closest value to 66.67 is 67
Hence, the closest temperature of the soil at 2:00pm is 66.67.
Read more about composite functions at:
https://brainly.com/question/10830110
