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
A rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water. If 850 cu
makkiz [27]

The new height of the water is = 9.34 inches (approx)

Step-by-step explanation:

Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.

Let the new height of water level be x inches.

The volume of the container = (20×16×12) cubic inches

                                               =3840  cubic inches

According to the problem,

3840 - (20×16×x) = 850

⇔3840 -320x = 850

⇔-320x =850-3840

⇔-320 x = -2990

\Leftrightarrow x =\frac{2990}{320}

⇔x = 9.34 inches

The new height of the water is = 9.34 inches (approx)

5 0
3 years ago
What is the rate of change of the line on the graph below?
Whitepunk [10]
The rate of change on the line is x line goes to the right and y line goes upward
5 0
3 years ago
Read 2 more answers
Does anyone know the answer?????
Viefleur [7K]

Answer:

-3x + 7

Step-by-step explanation:

she used the y-intercept as the slope and the slope as the y- intercept.

6 0
2 years ago
Read 2 more answers
If Gabby has 15 cosmetics in a bag, and 5 of those cosmetics are eyeshadow, then what is the probability of her picking an eyesh
nasty-shy [4]

this could be represented in the following way 5/15

Probability is

Fraction= 1/3

Decimal=0.33333333333333

Percentage:33.33333%

4 0
3 years ago
Read 2 more answers
A points lies on AB and is 3/4 the distance from A to B. Point A is located at (5, 4) and point B is located at (10, 12)
kirza4 [7]

Answer:

The answer for this is D.

Step-by-step explanation:

The reason is that it tells you that is a 3/4 your distance point so you need to count from 3/4.

5 0
2 years ago
Other questions:
  • Eliana takes photos and videos on her phone. Let P represent the number of photos and V represent the number of videos that Elia
    5·2 answers
  • Can someone help me pls
    8·2 answers
  • Please help me immediately ​
    12·2 answers
  • What is the value of the x in this equation. 7x = 14 ​
    7·1 answer
  • You advance 3 levels in 15 minutes. Your friend advances 5 levels in 20 minutes. Are these rates proportional? Explain.
    15·2 answers
  • What cannot be rational??
    15·1 answer
  • F(x)=x2-3x-2 what is the g(x)
    15·1 answer
  • F(x) = x + 2 and g(x) = x2 – 4<br> What is (fºg)(x)?<br> x² –2<br> x² + 4x<br> x² + 4x-2
    8·1 answer
  • Scientists say we should sleep 3/8 of a day.How about many hours is this
    14·2 answers
  • What are the coordinates of the y-intercept? (-8, 3) and (-3, -4.5)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!