subject
Mathematics, 02.07.2020 14:01 hopkinbr

Answer as fast as possible please! Newton’s Law of Cooling

A cup of hot coffee will, over time, cool down to room temperature. The principle of physics governing the process is Newton's Law of Cooling. The temperature (in degrees Fahrenheit) of a cup of coffee can be modeled by the following equation:

f(t)=80+120e^(-0.08t)

Here the time t is measured in minutes after the coffee was poured into the cup.
a. Explain, using the structure of the expression 80+120e^(-0.08t), why the coffee temperature decreases as time elapses (8 points).

b. What is the temperature of the coffee at the beginning of the experiment (7 points)?

c. Drinking coffee at 175 degrees can possibly burn your tongue. After waiting for 2 minutes, Leo became impatient and decided to drink the coffee. Will he be alright (7 points)?

d. The ideal temperature to drink coffee is between 120 to 140 degrees, as many of the more subtle flavors of coffee are revealed. When is the best time for Leo to drink coffee (8 points)?

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 21:00
Can someone answer this question for me
Answers: 1
question
Mathematics, 21.06.2019 22:00
How many solutions does the nonlinear system of equations graphed below have? a. one b. zero c. four d. two
Answers: 2
question
Mathematics, 21.06.2019 22:30
60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums. what is the probability that the applicant who gets the job plays drums or guitar?
Answers: 1
question
Mathematics, 22.06.2019 02:30
Solve the compound inequality. graph your solution. 2x – 2 < –12 or 2x + 3 > 7 x < –5 or x > 5 x < –5 or x > 2 x < –12 or x > 2 x < –7 or x > 5
Answers: 2
You know the right answer?
Answer as fast as possible please! Newton’s Law of Cooling

A cup of hot coffee will, ov...
Questions
question
Chemistry, 01.11.2019 16:31
question
Mathematics, 01.11.2019 16:31
question
Biology, 01.11.2019 16:31
question
Mathematics, 01.11.2019 16:31
Questions on the website: 13722363