Answer:
T = 76.39°C
Explanation:
given,
coffee cup temperature = 95°C
Room temperature= 20°C
expression
![T( t ) = 20 + 75 e^{\dfrac{-t}{50}}](https://tex.z-dn.net/?f=T%28%20t%20%29%20%3D%2020%20%2B%2075%20e%5E%7B%5Cdfrac%7B-t%7D%7B50%7D%7D)
temperature at t = 0
![T( 0 ) = 20 + 75 e^{\dfrac{-0}{50}}](https://tex.z-dn.net/?f=T%28%200%20%29%20%3D%2020%20%2B%2075%20e%5E%7B%5Cdfrac%7B-0%7D%7B50%7D%7D)
T(0) = 95°C
temperature after half hour of cooling
![T( t ) = 20 + 75 e^{\dfrac{-t}{50}}](https://tex.z-dn.net/?f=T%28%20t%20%29%20%3D%2020%20%2B%2075%20e%5E%7B%5Cdfrac%7B-t%7D%7B50%7D%7D)
t = 30 minutes
![T( 30 ) = 20 + 75 e^{\dfrac{-30}{50}}](https://tex.z-dn.net/?f=T%28%2030%20%29%20%3D%2020%20%2B%2075%20e%5E%7B%5Cdfrac%7B-30%7D%7B50%7D%7D)
![T( 30 ) = 20 + 75 \times 0.5488](https://tex.z-dn.net/?f=T%28%2030%20%29%20%3D%2020%20%2B%2075%20%5Ctimes%200.5488)
T(30) = 61.16° C
average of first half hour will be equal to
![T = \dfrac{1}{30-0}\int_0^30(20 + 75 e^{\dfrac{-t}{50}})\ dt](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B1%7D%7B30-0%7D%5Cint_0%5E30%2820%20%2B%2075%20e%5E%7B%5Cdfrac%7B-t%7D%7B50%7D%7D%29%5C%20dt)
![T = \dfrac{1}{30}[(20t - \dfrac{75 e^{\dfrac{-t}{50}}}{\dfrac{1}{50}})]_0^30](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B1%7D%7B30%7D%5B%2820t%20-%20%5Cdfrac%7B75%20e%5E%7B%5Cdfrac%7B-t%7D%7B50%7D%7D%7D%7B%5Cdfrac%7B1%7D%7B50%7D%7D%29%5D_0%5E30)
![T = \dfrac{1}{30}[(20t - 3750e^{\dfrac{-t}{50}}]_0^30](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B1%7D%7B30%7D%5B%2820t%20-%203750e%5E%7B%5Cdfrac%7B-t%7D%7B50%7D%7D%5D_0%5E30)
![T = \dfrac{1}{30}[(20\times 30 - 3750 e^{\dfrac{-30}{50}} + 3750]](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B1%7D%7B30%7D%5B%2820%5Ctimes%2030%20-%203750%20e%5E%7B%5Cdfrac%7B-30%7D%7B50%7D%7D%20%2B%203750%5D)
![T = \dfrac{1}{30}[600 - 2058.04 + 3750]](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B1%7D%7B30%7D%5B600%20-%202058.04%20%2B%203750%5D)
T = 76.39°C
Answer:
thanks for da 5points hoi
Explanation: thanks dawg
Answer:
On average, one acre of new forest can sequester about 2.5 tons of carbon annually. Young trees absorb CO2 at a rate of 13 pounds per tree each year. Trees reach their most productive stage of carbon storage at about 10 years at which point they are estimated to absorb 48 pounds of CO2 per year.