MATHEMATICS COLLEGE

Suppose coffee is initially brewed at 205 F and the room temperature is 70 F. Determine the value of kk if the temperature of the coffee drops from 205 F to 200 F in the first two minutes after brewing. Round answer to 4 decimal places.

Answers

Answer 1
Answer:

Answer:

0.0189

Step-by-step explanation:

We solve for this using Newton's Law of cooling.

The formula for Newton's Law of cooling =

T −Ts = (To−Ts)e^-kt

T = Temperature after cooling

To = Initial temperature

Ts = Room temperature

k = constant

t = time = 2 mins

(200 - 70) = (205 - 70)e^-2k

130 = 135e^-2t

e^-2k= 130/135

k = In(130/135)/-2

k = 0.018870164

Approximately to 4 decimal places = 0.0189

Therefore, the value of k = 0.0189

Related Questions

If CD = EF, then CD ≅ EFDefinition of CongruenceReflexive PropertySymmetric PropertyDefinition of MidpointHelp quickly
Kimberly is a program director for the channel KID. She tracked the cartoons shown on the channel for a week. The probability that the show had animals in it was 0.7. The probability that the show aired more than 10 times was 0.4. The probability that the show had animals in it and aired more than 10 times was 0.2. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?
Which coordinates represent the plotted point? Check all that apply. (StartRoot 13 EndRoot, 146.3 degrees) (StartRoot 13 EndRoot, 213.7 degrees) (negative StartRoot 13 EndRoot, negative 33.7 degrees) (Negative StartRoot 13 EndRoot, negative 146.3 degrees) (−3, 2) (3, −2) (−2, 3)
Angel Graham takes out a $150,000 mortgage. This is a 30-year at $725 per month. What is the total amount of interest that Angel will pay on this mortgage?Total Interest = $_____
Both the galapagos Islands and the island of naura are on the equator, but the galapagos Islands are at 90.30 degree West whereas the island of naura is at 166.56 degree east. How far is it from galapagos Islands to naura travelling over the pacific ocean along the equator, correct to the nearest km

A person's heart rate is 65 beats per minute at rest. It increases by 12 beats per minute for each ofthe first 10 minutes of exercise. What is the person's heart rate after 6 minutes of exercise?

Answers

the heartbeat per minute is 137 i used calculator

Final answer:

The heart rate of the person after 6 minutes of exercise, assuming it increases by 12 beats per minute during this period, would be 137 beats per minute.

Explanation:

The question asks for the heart rate of a person after 6 minutes of exercise, given that it increases by 12 beats per minute during the first 10 minutes. To solve this, we start with the person's resting heart rate, which is 65 beats per minute. For each minute of exercise, we add 12 beats to the resting rate. So for 6 minute workout, the increase would be 6 times 12, which equals 72. Adding this to the resting heart rate, 65 + 72, the heart rate after 6 minutes of exercise would be 137 beats per minute.

Learn more about Heart Rate here:

brainly.com/question/14020895

#SPJ2

Which is bigger 0.159 or 1.590​

Answers

Answer:

1.590

Step-by-step explanation:

Answer:

0.159

Step-by-step explanation:its obvious hope this helped tho

Find the LCM and solve, it's very very urgent. ​

Answers

Answers:

1.1050

2.1200

3.1200

4.3360

5.1080

6.480

pleaseseetheattachedpictureforfullsolution..

Hopeit helps....

Goodluck on your assignment...

If a truck gets 14 mile to the gallon on average, how much carbon dioxide is emitted into the atmosphere when the truck travels 200 miles?

Answers

the gas tank of a 2012 Toyota Prius holds 11.9 gallons how many pounds of carbon dioxide are produced by burning the entire tank of gas round to the hundredths place

The following table shows the number of snow days each school district in Mill County had last winter. School District District 200200200 District 211211211 District 221221221 District 231231231 District 241241241 Number of snow days 666 888 333 222 666 Find the mean absolute deviation (MAD) of the data set. snow days

Answers

The number of snowdays of District 241 are 4.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We have to find the number of snowdays of District 241

School District   District201    District211  District221  District231  District 241

Number of                      4               8                  3                  6                 ?

snow days

Mean of snow days is 5.

Mean =Sum of observations/Number of observations

5=4+8+3+6+x/5

25=21+x

Subtract 21 from both sides

x=4

Hence, the number of snow days of District 241 are 4.

To learn more on Statistics click:

brainly.com/question/29093686

#SPJ3

Answer:

DIstrict 241 had 4 snow days.

Step-by-step explanation:

5 * 5 = 25

Add the ones you know

4 + 8 + 3 + 6 = 21

Then

25 - 21 = 4

So District 241 had 4 snow days.

I know this answer is 100% correct. I answered it correctly. This problem wasn't that hard. Let me know if you need help with anything else.

2x+y=7 for y neeedd help

Answers

Answer:

  • y = -2x + 7

Step-by-step explanation:

Solve for y:

  • 2x + y = 7

Add - 2x to both sides

  • 2x + y - 2x = 7 - 2x
  • y = 7 - 2x

or

  • y = -2x + 7
Other Questions
Please help me I’ve been stuck for hours
Birth and death rates are often reported as births ordeathsper thousand members of the population. What isthe relativerate of growth of a population with a birth rate of 30births per1000 and a death rate of 20 deaths per 1000?
Mr.ward and mr. heskey are racing toy cars and Mr. heskey wants to give mr. ward an 8 ft head start because his car is 2 seconds slower. mr. ward's car travels 4 feet per second and mr. he's key's car travels 6 ft per second.which inequality could be used to determine after how many seconds, 's mr. heskey's car will be head of mr. ward's car?please show how you got the answer.
1abc14determine whether each expression is a monomial