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
LUCKY_DIMON [66]
3 years ago
13

The rate of change in the temperature T of coffee at time t is proportional to the difference between the temperature M of the a

ir at time t and the temperature of the coffee at time t.Write a differential equation that fits the above description.
Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Answer:

T'(t)=k(M(t)-T(t))

Step-by-step explanation:

The rate of change in the temperature T of coffee at time t is written as T'(t) (remember derivatives are used to express rates of change, and in our case the rate of change of the temperature T). The difference between the temperature M of the air at time t, and the temperature T of the coffee at time t can be expressed as M(t)-T(t)

Saying that the rate of change in the temperature T is proportional to the difference between M and T is just a way of saying that the rate of change in the temperature T is equal to the difference between M and T, multiplied by some constant k (whose value we don't know, but still that's what it means).

Therefore we get

T'(t)=k(M(t)-T(t))

You might be interested in
Can please cross multiply this for me :)
Alchen [17]
64 x 100 = 6400
11 x x = 11x
I’ll solve this out for you
11x = 6400
Divide 11 from both sides
x = 581.8
Hope this helps!
4 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP!! I DONT UNDERSTAND. i WILL GIVE BRAINLIEST!!!!
HACTEHA [7]

Answer:

u should give me the formula for ur question cuz I kind of understand but I did it years ago

7 0
2 years ago
Read 2 more answers
Find factors of 40 that will SUBTRACT to 3 <br><br> Smaller factor:<br> Larger factor:
Cloud [144]
8 and 5 multiply to 40 but subtract to 3.
3 0
3 years ago
The area of a rectangle is the rectangle’s length times its width. Write a program that asks for the length and width of two rec
Mnenie [13.5K]

Answer:

Using c++

Check the image for colors.

Step-by-step explanation:

#include <iostream>

using namespace std;

int main()

{

   float length1,length2,width1,width2,area1,area2;

   

   cout<<"length of Rectangle 1\n";

   cin>>length1;

   cout<<"\nwidth of Rectangle 1\n";

   cin>>width1;

   cout<<"\nlenght of Rectangle 2\n";

   cin>>length2;

   cout<<"\nwidth of Rectangle 2\n";

   cin>>width2;

   

   area1=length1*width1;

   area2=length2*width2;

   

   if (area1<area2)

   {cout << "\nRectangle 2 has greater area";}

   else {

               if (area1>area2)

                  {cout << "\nRectangle 1 has greater area";}

               else {cout << "\nAreas are the same";}

         }

   

   return 0;

}

7 0
3 years ago
Iist two different combinations if coins,each with value of 30% of a dollar.(ex: 3 dimes) PLS HELP ME
posledela

Answer:

6 nickles

2 dimes 2 nickles

1 quarter 1 nickle 5 pennys

8 0
2 years ago
Other questions:
  • lisa is painting a fence that is 26 feet long and 7 feet tall. A gallon of paint will cover 350 square feet. Write and slove a p
    13·1 answer
  • How to solve 2.13x2.6
    9·1 answer
  • 4 3⁄4 feet = How many inches
    5·2 answers
  • What is the sqaure root of 10,000​
    12·2 answers
  • Graph the image ere of (-1,-7) after a reflection over the line x=-5
    13·1 answer
  • Find the equation of the line whose x-intercept is 8 and y-intercept is -2. write the equation in slope-intercept form.
    11·2 answers
  • Which of the following questions describes the equation a - 5 = -12?
    10·1 answer
  • Answer pls. question in photo
    6·2 answers
  • 9/2 as a percentage
    12·1 answer
  • Im still not sure, can someone help me?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!