subject
Mathematics, 20.01.2021 01:20 dbn4everloved8

After heating up in a teapot, a cup of hot water is poured at a temperature of 203^\circ203 ∘
F. The cup sits to cool in a room at a temperature of 72^\circ72

F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below:
T=T_a+(T_0-T_a)e^{-kt}
T=T
a

+(T
0

−T
a

)e
−kt

T_a=T
a

= the temperature surrounding the object
T_0=T
0

= the initial temperature of the object
t=t= the time in minutes
T=T= the temperature of the object after tt minutes
k=k= decay constant

The cup of water reaches the temperature of 183^\circ183

F after 2.5 minutes. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 5 minutes.

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 15:00
Which of the binomials below is a factor of this trinominal? x^2-13+30
Answers: 2
question
Mathematics, 21.06.2019 16:10
In a sample of 200 residents of georgetown county, 120 reported they believed the county real estate taxes were too high. develop a 95 percent confidence interval for the proportion of residents who believe the tax rate is too high. (round your answers to 3 decimal places.) confidence interval for the proportion of residents is up to . would it be reasonable to conclude that the majority of the taxpayers feel that the taxes are too high?
Answers: 3
question
Mathematics, 21.06.2019 16:30
Gail is making costumes for a school play. each rabbit costume needs one and one half yards of white fur fabric, a yard of blue striped fabric, and a quarter of a yard of pink felt for the ears. g? ail needs to make eight rabbit man yards will she need, for the white fur fabric, blue striped fabric, and pink felt?
Answers: 1
question
Mathematics, 21.06.2019 20:20
Pls brainliest will be awarded if answer is correct
Answers: 1
You know the right answer?
After heating up in a teapot, a cup of hot water is poured at a temperature of 203^\circ203 ∘
...
Questions
question
Mathematics, 12.06.2020 17:57
question
Mathematics, 12.06.2020 17:57
Questions on the website: 13722359