1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Digiron [165]
3 years ago
9

The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Newton's Law of Cooling states that the change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature over time.

Therefore when expressed mathematically, this is equivalent to:

dT = - k (T – Ts) dt

dT / (T – Ts) = - k dt

Integrating:

ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)

Before we plug in the values, let us first convert the temperatures into absolute values R (rankine) by adding 460.

R = ˚F + 460

T1 = 200 + 460 = 660 R

Ts = 70 + 460 = 530 R

ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)

T2 = 569.16 R

T2 = 109 ºF

Answer: After 2 hours, it will be 109 ºF

You might be interested in
The quantity of four minus one all raised to the five-minus- two power
leva [86]

Answer:

(4-1)^5-2

Step-by-step explanation:

The quantity means parenthesis, around four minus one, (closed quantity), all raised to the power (exponent) five minus 2

3 0
3 years ago
Read 2 more answers
You observe the following pattern: J, K, N, B. What is the next letter in the sequence?
Nata [24]

Answer:

C. G

Step-by-step explanation:

4 0
3 years ago
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels
serious [3.7K]

Nipple man because I love balls

6 0
3 years ago
A line that includes the point (-6, 10) has a slope of -7. What is its equation in point-slope form?
choli [55]

Answer:

y - 10 = -7(x + 6)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Kayla is making cakes she has 7 1/2 of flour each cake takes 1 1/2 of flour. What is the greatest amount if cakes kayla can make
ipn [44]

Answer:

she can make 5 cakes.

Step-by-step explanation:

you can divide 1.5 by 7.5 and you will get 5.

3 0
3 years ago
Other questions:
  • Please help me, you have to simply it
    12·1 answer
  • What is the following product in simplified form?
    10·1 answer
  • Clinical literature reports that the duration of a typical cold is roughly 18 days. Researchers wanted to know if people tend to
    9·1 answer
  • 6. Y(3.5, 1), Z(-4, 2.5)<br> Please help
    14·1 answer
  • I think of number, double it and add 11. I get 25 a) using the statement above, form an equation. Use the letter 'x' as a unknow
    7·1 answer
  • Allen's answer for Part A was 12:42, which he simplified to 2:7. His answer is incorrect.
    13·1 answer
  • Use a recursive function for the geometric sequence 2, -4, 8, -16 to represent the 9th term. brainly
    6·1 answer
  • Х<br> 32°<br> X =<br> degrees.<br> please
    14·2 answers
  • A job can be done by 30 men in 15 days. How long would it take 10 men to do the same job?​
    5·1 answer
  • 6x^2 - 21 = 9<br> solve for x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!