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
jonny [76]
2 years ago
6

[50 POINTS] WILL MARK BRAINLIEST!!! Please solve the whole page with work!! It will be very much appreciated and I will heart th

e correct comment and give it 5 stars​

Mathematics
1 answer:
Gre4nikov [31]2 years ago
4 0

Answer:

wait, it only 25 points...

Step-by-step explanation:

You might be interested in
(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw
slavikrds [6]

Answer:

a. \frac{dT}{dt}=k(T-Tm); T(0)=190

b. C_{0}=122

c. k=-0.00259

d. t=153.39838\\ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

Tm=68

\frac{dT}{dt}=k(T-Tm); T(0)=190

b. The differential equation obtained is a differential equation of separable variables:

\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122

c. After 33 minutes of serving the coffee has cooled to 180°:

T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259

d.

150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\

8 0
3 years ago
A pool table is 8 feet long and 4 feet wide. How far is it from one corner pocket to the diagonally opposite corner pocket?
Mashutka [201]

Answer: 8.94427

Step-by-step explanation: using the Pythagorean theorem which is A squared plus B squared equals C squared you can find this

3 0
4 years ago
Find the percent. explain your method 30%of 50
grandymaker [24]
Multiply .30 and 50 ... which is 15
4 0
3 years ago
Read 2 more answers
Paul burned 65 calories in 15 minutes. How many calories did he burn in 1 hour? Please show how got to your answer!
stira [4]

Answer:

65 calories=15 minutes

Find how many minutes it will take Paul to born 1 calory. You divide 65 by 15

65÷15=4.333

Find how many calories lost in 1 hour= 60 minutes multiply by 4.3

60*4.333=260 calories

Therefore,

Paul burns 260 calories in 1 hour

7 0
3 years ago
Read 2 more answers
Is -pi a rational or irrational number
Lyrx [107]

Answer:

I believe that it is a irrational number.

Step-by-step explanation:

An irrational number is a number that cannot be written as a fraction with a num and denom that aren't equal to 0. These cannot be expressed as repeating decimals. -pi has all these traits, therefore it's irrational.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help with this algebra question
    9·1 answer
  • Please answer this correctly
    9·2 answers
  • Solve for x: 4x - 2 &gt; 6x + 8. (5 points)<br> x&lt;-5<br> x&gt;5<br> x&lt;5<br> x&gt;-5
    8·1 answer
  • Which function is not the same as the other three ?
    12·2 answers
  • Americans who are 65 years of age or older make up 12.2% of the total population. if there are 30.2 million Americans in this ag
    12·1 answer
  • Find the simplified form of the expression. Give your answer in scientific notation.
    14·1 answer
  • Carson claims that the opposite of any integer X is always a negative number is he correct explain why or why not
    13·1 answer
  • Help I’m so confused
    6·1 answer
  • Which of the following is equivalent to the sum of expressions 2a^2 + 2 and a – 2
    7·1 answer
  • Can someone please help me? :(
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!