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Scientist modeled the intensity of sun, I, as a function of the number of hours since 6:00 am, h, using the function, I(h)=(12h-h^2)/36. They then model the temperature of soil, T, as a function of the intensity using the function T(I)= 5000×I. Which of the following is closest to the temperature of the soil at 2.00pm? (1)54 (2)67 (3)84 (4)38
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Updated 7/12/2023 12:32:39 AM
1 Answer/Comment
Determine the corresponding intensity and then use the function T(I) = 5000 × I to calculate the temperature.

First, we need to find the number of hours since 6:00 am at 2:00 pm. Since there are 12 hours from 6:00 am to 6:00 pm, at 2:00 pm, it has been 8 hours since 6:00 am.

Now, let's calculate the intensity at 2:00 pm using the function I(h) = (12h - h^2) / 36:

I(h) = (12 * 8 - 8^2) / 36
= (96 - 64) / 36
= 32 / 36
= 8 / 9

Now, we can calculate the temperature of the soil using the function T(I) = 5000 × I:

T(I) = 5000 * (8 / 9)
= 4444.444...

Rounding to the nearest whole number, the closest temperature to the soil at 2:00 pm is 4444.444... which is closest to (3) 84. Therefore, the closest answer choice is (3) 84.
Added 7/12/2023 12:32:39 AM
This answer has been confirmed as correct and helpful.
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Updated 9/29/2019 10:45:29 PM
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Question|Asked by jcauvin
Updated 4/22/2020 4:08:04 PM
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Question|Asked by jcauvin
Updated 9/27/2019 6:33:41 PM
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Question|Asked by jcauvin
Updated 10/16/2021 12:24:26 AM
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Which NIMS Management Characteristic refers to the number of subordinates that directly report to a supervisor
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Updated 9/27/2019 1:39:41 PM
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Manageable Span of Control refers to the number of subordinates that directly report to a supervisor.
Added 9/27/2019 1:39:38 PM
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Question|Asked by jcauvin
Updated 9/27/2019 7:05:38 PM
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Updated 9/27/2019 6:06:09 PM
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Updated 4/23/2023 8:39:45 PM
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Question|Asked by jcauvin
Updated 2/16/2021 5:27:04 PM
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Asked 9/27/2019 1:25:15 PM
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Asked 9/27/2019 1:21:29 PM
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Identify the proper synonym for the expression in italics. Ellen has it in for Bob.
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Updated 9/29/2020 4:15:24 AM
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Ellen has it in for Bob. Synonym for "has it in for" is: bears a grudge (against).

Added 9/29/2020 4:15:24 AM
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Combine the two sentences by changing the italicized words into an adverb clause. My uncle has a bowling ball. He seldom uses it.
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Updated 8/13/2021 1:09:17 PM
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Added 8/13/2021 1:09:17 PM
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Updated 12/5/2023 2:09:44 AM
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Updated 10/22/2022 6:06:05 AM
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Expert Answered
Updated 154 days ago|6/12/2025 2:52:09 AM
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Updated 9/27/2019 1:46:51 PM
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Great Depression name was given to the long economic downturn that began with the stock market crash 1929.
Added 9/27/2019 1:46:51 PM
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Which NIMS Management Characteristic refers to the number of subordinates that directly report to a supervisor?
Question|Asked by jcauvin
Not Answered
Updated 9/27/2019 1:45:35 PM
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Manageable Span of Control refers to the number of subordinates that directly report to a supervisor.
Added 9/27/2019 1:45:35 PM
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Updated 9/27/2019 6:29:36 PM
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