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
k0ka [10]
3 years ago
7

A cup of coffee at 85 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 5 de

grees Celsius per minute when the temperature of the coffee is 70 degrees. The differential equation describing this has the form dT/dt = k (T-A)
A= 25


k=?


Either from drawing the direction field (try Maple or by hand) or other intuitive means, the limiting value of T should be = 25
Mathematics
1 answer:
bezimeni [28]3 years ago
3 0

Answer: k = - 6.6667

Step-by-step explanation:

this is quite very simple to begin. I would encourage you take other practice questions similar to help with understanding it.

let us begin.

Given that ;

dT/dt = k ( Tm - T)       where Tm is the temp of the medium

dT/dt = 5 degrees Celsius per minute    when T = 70

so we have that, 5 = k ( 25 - 70)

remember to convert 5 degree celsius per minute to seconds

we have that;

5*60(sec) = k ( 25 - 70)  

k = 5*60 / ( 25 - 70)

k = - 6.6667

note K is negative because we consider it for cooling process  (temp decreasing).

cheers i hope this helps!!!

You might be interested in
Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step
Lilit [14]

Answer: First option.

Step-by-step explanation:

The complete exercise is attached.

In order to solve this exercise, it is necessary to remember the following property:

The Multiplication property of Equality states that:

If\ a=b\ then\ a*c=b*c

In this case, the equation that Jada had is the folllowing:

-\frac{4}{9}=\frac{x}{108}

Jada needed to solve for the variable "x" in order to find its value.

The correct procedure to solve for for "x" is to multiply both sides of the equation by 108. Then, you get:

(108)(-\frac{4}{9})=(\frac{x}{108})(108)\\\\-48=x

As you can notice in the picture, Jada did not multiply both sides of the equation by 108, but multiplied the left side by -\frac{4}{9}<em>  </em>and the right side by -\frac{9}{4}.

Therefore,you can conclude that Jada should have multiplied both sides of the equation by 108.

3 0
3 years ago
Read 2 more answers
Sales prices of baseball cards from the 1960s are known topossess a skewed-right distribution with a mean sale price of $5.25and
Serga [27]

Answer:

c. Skewed-right with a mean of $5.25 and a standard error of$0.28

Step-by-step explanation:

As we have given that Sales prices of baseball cards have a right-skewed distribution with a mean $5.25 and a standard deviation is $2.80.

Now, We know that if standard deviation = σ

then, standard error = \frac{\sigma}{\sqrt{n}}

As, we have standard deviation = $2.80

then standard error will be \frac{2.80}{\sqrt{100}}

⇒ Standard error = $0.28

Hence, Option (c) is the correct option.

6 0
3 years ago
Um prêmio está avaliado em 75% de R$ 50.000,00. Qual valor será dado ao premiado?
fredd [130]

Answer:

I don't know the answer to this question

7 0
3 years ago
What is the value of x in the equation 3x -
shusha [124]
Do u mean 3x-y=18
If not clear your question and if yes this is the question then the answer is 96.6
8 0
3 years ago
Write the following rate as a simplified fraction 55 dogs to 75 cats​
denis23 [38]

Answer:

11/15

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

55 ÷ 5

75 ÷ 5

=11/15

:)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Hadley paddled a canoe 2/3 mile in 1/4 hour. How fast did Hadley paddle in miles per hour ?
    6·1 answer
  • 1933-36<br> 1937-40<br> 1931-33<br> 1931-34
    6·1 answer
  • What is 4 divided by 29 in decimal ok
    11·2 answers
  • An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?
    7·2 answers
  • PLEASE HELP MEEEE WITH THIS !!!!!
    12·1 answer
  • Please SOMEONE tell me if i picked the correct one ):
    5·2 answers
  • Does anyone know what the answer is???
    15·1 answer
  • A store has 120 customers in 6 hours. What is the unit rate in costumers per hour?
    9·1 answer
  • There is a population of 56,950 bacteria in a colony. If the number of bacteria doubles every 370 hours, what will the populatio
    11·2 answers
  • Graph f(x)= x if x &lt; 2, 2 if x ≥ 2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!