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
Nezavi [6.7K]
3 years ago
6

L.F. Richardson proposed a model to describe the spread of war fever. His proposal: If y(t) is the percent of the population adv

ocating war at time t, then the rate of change of y(t) at any time is proportional to the product of the percentage of the population advocating war and the percentage not advocating war. Set up a differential equation that is satisfied by y(t). (Note: Use k for the constant of proportionality with k > 0.)y' = ____________ , k > 0
Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer:

y'(t)=ky(t)(100-y(t))

Step-by-step explanation:

The rate of change of y(t) at any time is the derivative of y with respect to time y, y'(t)

If y(t) is the percent of the population advocating war at time t

then 100-y(t)  is the percent of the population not advocating war

The product of the percentage of the population advocating war and the percentage not advocating war would be

y(t)(100-y(t))

If the rate of change of y(t) at any time is proportional to the product of the percentage of the population advocating war and the percentage not advocating war, then

y'(t)=ky(t)(100-y(t))

where <em>k is the constant of proportionality </em>

You might be interested in
The measure of an angle is 6°. What is the measure of its complementary angle?
stealth61 [152]

Answer:

84 degrees.

Step-by-step explanation:

First, let's define what a complementary angle is. It's when two angles add up to 90 degrees. So we do 90-6=84 and 84+6 does in fact equal 90, so they are complementary.

5 0
3 years ago
Read 2 more answers
A car company is designing a car that uses 12% less steel than
Olin [163]

Answer:

180 pound

Step-by-step explanation:

<h3><u>p</u><u>e</u><u>r</u><u>c</u><u>e</u><u>n</u><u>t</u><u>a</u><u>g</u><u>e</u><u>:</u></h3>

<u>t</u><u>h</u><u>e</u><u> </u><u>v</u><u>a</u><u>l</u><u>u</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>1</u><u>2</u><u>%</u>

  • 12% of 1500 pounds
  • 12/100 × 1500
  • 18,000/100
  • 180

much steel will the new car model use is 180 pound

5 0
2 years ago
What is the difference between the mean and the median of the following distribution?
natulia [17]
The definition of mean, is to add up all the numbers and divide it by how many numbers there are. So, in this case the mean would be 1+1+1+2+2+2+2+3+3+4+4+4+4+5+5+6+7+7+8+8+9 = 86. You would then take 86 and divide that by 21, and you would get 4.0
The definition of median states to find the middle of the numbers. So the median would be 4. 
So you would just take 4 - 4 = 0. 

0 would be correct.
8 0
3 years ago
Read 2 more answers
Eric prepared 45 kilograms of dough after working 9 hours. How many hours did Eric work if he prepared 55 kilograms of dough? As
EastWind [94]

45 / 9 = 5

55 / 5 = 11

Eric worked 11 hours to prepare 55 kilograms of dough.

4 0
3 years ago
A human body that is performing light work generates about 650 BTUs of body heat per hour. If a storage room that is 20 ft × 25
Damm [24]

in case your wodering its 2.1 BTUs/ft^3

6 0
3 years ago
Other questions:
  • How to solve for this problem
    6·2 answers
  • Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82∘. What is the lar
    6·1 answer
  • Simplify the expression 2x^2 • 3x^0
    9·1 answer
  • What is 2/9 divided by 9/8
    8·2 answers
  • An electrician has 4.1 meters of wire.
    14·2 answers
  • Charlie is evaluating the product of 0.09 and 0.05. He multiplies, and before placing the decimal, arrives at an answer of 45. A
    13·2 answers
  • Pease help me quick with ALL the questions ASAP!!!!
    11·2 answers
  • Solve for y if B=<br> a(c+y)<br> 5
    5·1 answer
  • Guía metodológica esmate octavo grado resuelta unidad 4 de el libro de texto ​
    14·1 answer
  • Please help me.............
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!