Suppose a student carryinga virus returns toan isolated college campus o 1000 students. Determine a differential equation for the number x(t) who have contracted the fluif the rate at which the disease spreads is proportional to the number of interactions between the number of students who have the fluand the number of students show have not been exposed to it.

Answers

Answer 1

Answer:

[tex]\frac{dx}{dt}[/tex] = k.x.[1000 - x] ;  

where k is the proportionality  constant

Step-by-step explanation:

Let

The number of people who are infected with the flu = x(t)

Total number of students = 1000

So,

Total number of student who do not expose with the flue = 1000 - x(t)

As given,

We have to find the differential equation such that

The rate at which the disease spreads is proportional to the number of interactions between the number of students who have the flu and the number of students show have not been exposed to it.

⇒[tex]\frac{dx}{dt}[/tex] ∝ x(t) . [ 1000 - x(t) ]

⇒[tex]\frac{dx}{dt}[/tex] = k.x.[1000 - x] ; where k is the proportionality  constant


Related Questions

How many ways can a president and vice-president be selected in a class of eighteen students?

Answers

Answer:

306

Step-by-step explanation:

There are 18 ways to pick the president

Now there are only 17 students left

there are 17 ways to pick the vice president

18 * 17 =306

There are 306 different ways to pick a president and vice president

function machine
what is f(-10)=
for what input is the output 93

Answers

a) replace x with -10 and solve:

-6(-10)-3 = 60-3 = 57

f(-10) = 57

b) replace f(x) with 93 and solve for x:

93 = -6x-3

Add 3 to each side:

96 = -6x

Divide each side by -6:

x = -16

The input value is -16

1. You are baking cookies to bring to school for a bake sale. You have already finished 22 cookies, and you can bake 12 at a time on your cookie sheet. If you want to bake at least 100 cookies, how many more cookie sheets do you have to bake?

Answers

Answer:

pp

Step-by-step explanation:

pp

you need to bake 6 more sheets

Which
pair of triangles can be proven congruent by SAS?

Answers

second one is the only one with two sides and an angle marked so 2

Two triangles that are congruent using SAS.

SAS = Side Angle Side

The two triangles in option B are congruent by SAS.

Option B is the correct answer

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two triangles that are congruent using SAS.

SAS = Side Angle Side

Now,

The two triangles in option B are congruent by SAS.

There are two sides that are equal in each triangle.

There is one angle that is equal in each triangle.

Thus,

The two triangles in option B are congruent by SAS.

Option B is the correct answer

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ5

The rectangle is rotated 180º counterclockwise about the origin. Which of the following ordered pairs is a vertex of the rectangle’s image?


A.

(-5, 1)


B.

(-4, -1)


C.

(4, -5)


D.

(4, 4)

Answers

The anwser is D...........

The ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.

What is a transformation of a shape?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The rectangle is in the first quadrant then the coordinate of the vertices of a rectangle will be positive (x, y).

The rectangle is rotated 180º counterclockwise about the origin.

The rectangle will be in the third quadrant then the coordinate of the vertices of the rectangle will be negative (-x, -y).

Thus, the ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

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What is the slope of the red and blue line

Answers

Answer:

red=-1/4 blue= 4/1

Step-by-step explanation:

rise/run

I need help on this?

Answers

Answer:

it’s 65

Explanation:

because I went within

b. Solve for x, given the
MZ2 = 9x + 6

Answers

Answer:

Step-by-step explanation:

hello :

9x+6 =60

9x+6-60 =60-60

9x -54 =0

9x -54+54 =+54

9x=54

x = 54/9

x= 6°

find the area of a rectangular carpet the measures 3 1/3 feet by 3 feet

Answers

Answer:

area = 4

Step-by-step explanation:

area = length × width

length= 3 1/3 =3/3 = 1 and width= 3

area = 1 × 3

= 4

How many gallons of 12% salt solution should a biologist add to 5 gallons of 15% salt solution to get a 14% solution?

WILL MARK BRAINLIEST IF ANSWERED WITHIN 15 MINUTES

Answers

Answer:

life

Step-by-step explanation:

hi

8(5 – 2x)
need help answering this question

Answers

Distribute property.
8x5= 40
8x2x= 16x
40-16x

Let's simplify this problem using the distributive property.

The first thing we want to do is change the minus to plus a negative.

Now distribute or multiply the 8 times

each of the terms inside the set of parentheses.

So we get 8(5) + 8(-2x) and this simplifies to 40 + -16x.

Plz help would be a life saver

Answers

I think 4 is -4 and let me do 5

4/4 times 1/2 PLEASE HURRY ILL MARK BRAINLIEST

Answers

Answer: 1/2

Step-by-step explanation:4

4

×  

1

2

=  

1

2

Result in decimals: 0.5

Calculation steps:

4

4

×  

1

2

=  

4 × 1

4 × 2

=  

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

Further explanation

For the problem:

4

4

×  

1

2

= ?

Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

4 × 1

4 × 2

=  

4

8

The Greatest Common Factor (GCF) of 4 and 8 is 4. The result can be simplified by dividing both the numerator and denominator by 4.

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

The result is:

4

4

×  

1

2

=  

1

2

Answer:

1/2

Step-by-step explanation:

any expression divided by itself is 1

1×1/2

any expression multiplied by 1 remains the same

1/2

3) The elevator in a large office building is not working so you start climbing the stairs. The first flight
takes you 56 seconds. The second flight takes you 62 seconds. The third flight takes you 68 seconds.
If you climb a total of ten flights, how long will it take you to climb all ten flights combined?
a.
b.
C.
1660 seconds
830 seconds
330 seconds
105 seconds
6 seconds
d.
e.

Answers

Answer:

Oct 20, 2019 — So how many flights does it takes for stair climbing to qualify as a workout? ... the Harvard Alumni Health study reported that climbing 10-19 flights a week (two ... But to be clear, we're not talking about the type of stair climbing you do ... of 20 seconds (about 60 steps) or a single/double flight of stairs that ca

Step-by-step explanation:

An expression is shown. (3x^2+2x-5) -(5x^2-4x+1)

Answers

Step-by-step explanation:

solve the equation by placing correct sign

Plz help me I’m stuck

Answers

Answer:

$10.50

Step-by-step explanation:

15% of 70 = $10.50

Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)

Answer: $10

Step-by-step explanation:

15%= 0.15

67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.

R(-9,4) and S(2,-1); Find T

Answers

Answer:

The question doesn’t state what T represents, so I will assume T is one of two points:

1. The midpoint of R and S, or

2. S is the midpoint of RT.

1. T((-9+2)/2,(4-1)/2)=T(-7/2,3/2)

2. T(x,y): S(2,-1)=((-9+x)/2,(4+y)/2); 2=(-9+x)/2, 4=-9+x, x=13; (4+y)/2=-1, 4+y=-2, y=-6. T(13,-6)

 

help pls will give brainiest

Answers

Answer:

A= (3,3)

B= (4,1)

C= ( 1,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A 2, -1

B 1, -3

C 4, -4

Hope this helps!

Thanks for Brainliest!

I need help on this and pls I actually do so dont put wrong answers or that you need points pls dont :)

Answers

Answer:

Equation: 120=66+2m

Step-by-step explanation:

120=66+2m

120-66=54

54/2=27

m=27

Please help meee I wanna get out of this class already

Answers

Answer:

The answer is D.

Answer:

a

Step-by-step explanation:

which is larger 4.5 or 9/2​

Answers

Answer:

Both are equal

4.5 = 9/2

4.5 = 4.5

Hope it will help :)

Answer:

They are equal

Step-by-step explanation:

When we simplify 9/2 and divide, we get the answer 4.5, which is equal to 4.5. Therefore, neither number is larger and they are equal, just written in different ways.

I hope this helps!

Abosolute value of -5

Answers

The absolute value of -5: 5

Ratna , who is in Mumbai , telephones her brother Ravi in Ahmedabad and speaks for 89 seconds . She is charged Rs 1.20 for every 16 seconds or part of 16 seconds . There is also a service charge of Rs 2 / - . Study the bill carefully . How much will it cost Ratna if she speaks to Ravi for 3 minutes ?

A) 14.40
B) 16.40
C) 18.40
D) 20.40

Please give explanation of your answer , please .

Answers

Answer:

16.40

Step-by-step explanation:

3 min-> 180 s

180÷16≈11

11+1=12

12x1.20=14.40

14.40 + 2 = 16.40

Solve the exponential equation for x.

Answers

Answer:

c. x=-2

Step-by-step explanation:

256=(1/4)^(3x+2)

㏒(1/4) (256)=3x+2

-4=3x+2

3x=-6

x=-2

BRAINLIEST TO BEST ANSWER :D
Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.


3(x - 6) + (4x + 12) - 6x

3x - 9 + 4x + 12 - 6x

(3x + 4x - 6x) + (-9 + 12)

x + 3

Question 1
Identify the line which contains the error.
A 3(x - 6) + (4x + 12) - 6x
B 3x - 9 + 4x + 12 - 6x
C (3x + 4x - 6x) + (-9 + 12)
D x + 3

Answers

Answer:

C

Step-by-step explanation:

Answer:hope this helps!!! :)

defenitly A it equals x-6 not x-3

3(x - 6) + (4x + 12) - 6x  =>   − 6

Step-by-step explanation:

Martha's bakery started with 200 cupcakes in the morning. After a busy afternoon there were only 60 cupcakes left. By what percent did the cupcake inventory drop?

Answers

Answer: 70%

Step-by-step explanation:

Martha's bakery started with 200 cupcakes in the morning and after a busy afternoon there were only 60 cupcakes left, this means that 200 - 60 = 140 cupcakes were sold.

The percentage drop will be:

= 140/200 × 100

= 70%

The store bought a table for $150, and sold it for $240. What percentage was the markup?

Answers

Answer:50%

Step-by-step explanation:

Answer:

the bought 65% porcentege

Last week Jordan had 12 marbles . This week he has 21 marbles what is the percentage of increase in the number of marbles Jordan has

Answers

Answer:

75%

Step-by-step explanation:

The number increase is 9. 9 is what percent of 12? 9 is 75% of 12

Help needed with this

Answers

Answer:

el 3

Step-by-step explanation:

Step-by-step explanation:

step 1. a function must only have a single y value for each x value.

step 2. for the input x, there can only be one output or result y.

step 3. #1 is a function because for each x there is only one y.

step 4. #2 and #3 are functions also.

step 5. #4 is not a function because (1, 1) and (1, -1) says x is 1 but the y is both 1 and -1 (2 values)

step 6. (2, 2) and (2, -2) also makes #4 not a function.

Give that the line m is parrallel to the line r and m<IHB = (5y+39)° and m<HBC =(3y+85)° ,find m<CBG SHOW ALL WORK​

Answers

Answer:

5y+39=3y+85 that is 5y-3y=85-39= 2y=46 and the answer is y=23

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