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
Papessa [141]
3 years ago
6

At a time denoted as t = 0 a technological innovation is introduced into a community that has a fixed population of n people.

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

The differential equation is

dR/dt = -k(2x - n)dx/dt for k > 0

Assuming initially, one person adopts the innovation, then

dR/dt = 0

Step-by-step explanation:

Total number of people in the community is "n"

At time t, the number of people who

have adopted the innovation is "x(t)"

This Tells us that (n - x) people haven't adopted the innovation.

It is assumed that the rate at which the innovations spread through the community is jointly proportional to the number of people who have adopted it and the number of people who have not adopted it.

So

Let R be the rate, then

R is proportional to x(n - x)

R = kx(n - x) = -kx(x - n)

Differentiating this with respect to time, t, we have

dR/dt = (-k(x - n) - kx)dx/dt

dR/dt = -k(2x - n)dx/dt for k > 0

And this is the differential equation.

Assuming initially, one person adopts the innovation, then

dR/dt = 0

You might be interested in
What is 3x3-45 divided by (4+1)
Lorico [155]

Answer:

3x3-45÷(4+1) is 0.

Step-by-step explanation:

We have to do order of operations so we follow PEMDAS:

P is for Parentheses so we do what's in parentheses first:

(4+1)=5

E is for Exponents but we don't have exponents.

Next is M and D for Multiplication and Division. We have division before multiplication so we should do division first:

45÷5=9

We now have multiplication:

3x3=9

Now we have A and S for addition and subtraction

We don't have addition so we'll do subtraction:

9-9=0

The final answer is 0.

Hope this helps! :)

<h3>CloutAnswers</h3>
5 0
3 years ago
Read 2 more answers
Please help meeeeeeee
statuscvo [17]

Answer:

67

Step-by-step explanation:

I don car e dry because I debt

8 0
2 years ago
Please help...<br> i rlly need help on this
melamori03 [73]

Answer:

3

Step-by-step explanation:

Since

3 : 2 = X : 2

Then we know

3/2 = X/2

Multiplying both sides by 2 cancels on the right

2 × (3/2) = (X/2) × 2

2 × (3/2) = X

Then solving for X

X = 2 × (3/2)

X = 3

Therefore

3 : 2 = 3 : 2

5 0
2 years ago
The figure is made up of a semicircle and a rectangle.
dezoksy [38]
Area = Area of rectangle + area of semicircle

Area of rectangle = 5 x 1 = 5 m^2
area of semicircle = πD²/8 = 3.14 x 5² / 8 = 9. 8125
Area = 5 + 9.8125 = 14.8125 m^2


4 0
2 years ago
This one is hard can some body help me
natali 33 [55]
First option because 3 x 10^9 is 3,000,000,000
5 0
2 years ago
Other questions:
  • How do I solve 4a-3=2a+7
    12·1 answer
  • A time in history was called the Stone Age, Why was it called this?
    10·1 answer
  • when walking home from school during the summer months, Harold buys either an ice-cream or a drink from the corner shop. If Haro
    15·1 answer
  • Plz help me<br> WILL GIVE BRAINLIEST
    12·1 answer
  • Which point is located on the graph of the equation y = 2x - 5
    7·1 answer
  • DUE IN 10 MINS!!! I need help ASAP T^T
    12·2 answers
  • ❗️Help needed please ❗️
    9·2 answers
  • 1 + 2x – 24x <br><br> -11+36x-28+37x<br><br> 1-24x+x-46<br><br><br> solve these i need answers asap
    5·1 answer
  • Which expressions are equivalent to (v^-1)^1/9
    10·1 answer
  • Item 16 The solids are similar. Find the surface area S of the red solid. Round your answer to the nearest tenth.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!