Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.



Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the

12h-h?

function I(h)= They then model the temperature of the soil, T, as a function of the intensity using the

36

function T ( 1) = 150007. What is the temperature of the soil at 2:00 p.m., to the nearest whole number?

Sagot :

MrRoyal

The functions are illustrations of composite functions.

The soil temperature at 2:00pm is 67

The given parameters are:

[tex]\mathbf{I(h) =\frac{12h - h^2}{36}}[/tex] ---- the function for sun intensity

[tex]\mathbf{T(I) =\sqrt{5000I}}[/tex] -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

[tex]\mathbf{h = 2:00pm - 6:00am}[/tex]

[tex]\mathbf{h = 8}[/tex]

Substitute 8 for h in [tex]\mathbf{I(h) =\frac{12h - h^2}{36}}[/tex], to calculate the sun intensity

[tex]\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}[/tex]

[tex]\mathbf{I(8) =\frac{32}{36}}[/tex]

[tex]\mathbf{I(8) =\frac{8}{9}}[/tex]

Substitute 8/9 for I in [tex]\mathbf{T(I) =\sqrt{5000I}}[/tex], to calculate the temperature of the soil

[tex]\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}[/tex]

[tex]\mathbf{T(8/9) =\sqrt{4444.44}}[/tex]

[tex]\mathbf{T(8/9) =66.67}[/tex]

Approximate

[tex]\mathbf{T(8/9) =67}[/tex]

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

https://brainly.com/question/20379727

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.