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A heated piece of metal cools according to the function c(x) = (.5)x − 10, where x is measured in hours. A device is added that aids in cooling according to the function h(x) = −x − 1. What will be the temperature of the metal after five hours?

−6° Celsius

26° Celsius

32° Celsius

38° Celsius

Answer :

meerkat18
The question is asking to choose among the following choices that states the temperature of the metal after five hours, and base on my research and further calculation, the possible answer among the following is 26 degree. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarifications
okpalawalter8

The temperature of the metal after five hours is mathematically given as

c(x) + h(x) =26. Option B.

What will be the temperature of the metal after five hours?

Generally, the equation for the statement is  mathematically given as

c(x) + h(x) = (0.5)^{x-10} - x - 1

Therefore

c(x) + h(x) = (0.5)^{5-10} - 5 - 1

c(x) + h(x) = (0.5)^{5-10} - 6

c(x) + h(x) =26

In conclusion,  c(x) + h(x) =26

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