Out of a total of N students at a school, the number of students who have seen a new television program increases at a rate proportional to the product of the number of students who have seen the program and the number of students who have not seen the program. If S denotes the number of students who have seen the program at time t, which of the following differential equations could be used to model this situation, where k is a positive constant?
a. ds/dt = KS
b. ds/dt = kt(N-t)
c. ds/st = KS(N-S)
d. ds/dt = KS(S-N)

Answers

Answer 1

Answer:

ds/dt = kN(N-S)

Step-by-step explanation:

Given

Total number of student = N

number of students who have seen the program = S

Number of students who have not seen the program = N-S

The product of the number of students who have seen the program and the number of students who have not seen the program = N(N-S)

If the rate of number of students who have seen a new television program increases at a rate proportional to the product of the number of students who have seen the program and the number of students who have not seen the program, then:

ds/dt = kN(N-S)

k is the proportionality constant


Related Questions

Lauren bought 20 oz of sliced ham. She used 3/4 of the ham to make sandwiches for her friends. She used 1/5 of the ham in an omelet. How many ounces of ham were left?

Answers

Answer:

19 oz

Step-by-step explanation:

Lauren bought 20 ounces of sliced ham, out of which she used three-fourth of the ham to make sandwiches for her friends and one fifth of the ham in an omelette. We are to find the ounces of ham that were left. So, total ounces of ham that were used = 15 + 4 = 19 ounces.

Hope this helped!

Help me please .......no link What is the slope of the line given by the equation below?
y = 12x - 23

Answers

Hope this helps ❤️ BBB BBB job

A rectangular garden measures 26ft by 37ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answer.

Answers

26*37=962sqft
Add 4 ft to both numbers (2ft per side)
30*41=1230sqft
Subtract out the garden area
1230-962=268sqft
The path is 268 sq ft

Are the fractions 9/6 and 6/4 equivalent?
SOLUTION:



IF YOU GIVE ME AN ANSWER GARBAGE I WILL REPORT YOU



THANK, ;)

Answers

No they are not because 9/6 cannot be reduced to 6/4

Answer: 9/6 and 6/4 are equivalent

Step-by-step explanation:

If you simply 9/6, you get 1 3/6

Simplify 6/4, you get 1 2/4

3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.

Hope this helped ;D

first person to answer gets brainliest just type anything

Answers

Answer:

oh um thank you

Step-by-step explanation:

have a great day

Answer:

Thank you so much, but can I get Brainiiest I was first. :)

Step-by-step explanation:

HELP I BEG
Solve the linear equation and explain why it’s either one solution, infinite solution or no solution

2(4+2.5x)+7 = -3(x-5)

Answers

Answer:

infinite solution , b/c when i graphed it , it showed a line that went on & on

Step-by-step explanation:

2(4+2.5x)+7 = -3(x-5)

8+5x+7=-3x+15

15+5x=-3x+15

2x=0

Ms McNaughton solved the equation below:
8x = 64
8x − 8 = 64 − 8
x = 56
Did she solve the equation correctly or incorrectly? (1 points) If the solution is correct, explain the steps she took to find the solution. If the solution is incorrect, show the correct steps to solve the equation. (4 points)

Answers

Answer:

she solved it incorrectly

Step-by-step explanation:

8x=64

8x÷8=64÷8

x=8

Answer:

no she did not

8x=64

÷8 ÷8

x=8

Step-by-step explanation:

simple

Find an equation of the line that bisects the acute angle formed by the graphs of negative 5X plus 7Y +4 equals zero and 7X minus 5Y +6 equals zero

Answers

Answer:

Step-by-step explanation:

x+ y = 0  

and

-2x + 5y + 2 = 0

Step-by-step explanation:

given line

3x+5y+2=0

5x+3y-2=0

solution

when two line bisect each other then line equation of bisector is express as

  1

and here

A1 = 3

B1  = 5

C1 = 2

and

A2 = 5

B2  = 3

C2 = -2

so now put value in equation 1 we get

   

solve it we get

-2x + 5y + 2 = 0   1

and

3x+5y+2 = - ( 5x+3y-2 )

solve it we get

8x + 8y = 0

x + y = 0  2

Answer: D -12x +12y -2 =0

Step-by-step explanation:

Edge 2021

Find the measure of 44.
24
158°
4.4 = [?]

Answers

Answer:

Solution given:

< 4+ < 158= 180 [co- interior angle]

<4=180-158-22°

<4=22°

no link answers please!!

Which of the following are solutions to the equation below?
Check all that apply.
x^2 - 2x - 24 = 0
O A. 6
O B. -4
O C. -6
O D. 4
O E.-24

Answers

Answer: X= 6 or X=-4

Step-by-step explanation:

[tex]x^{2} -2x-24=0\\(x-6)(x+4)=0\\x-6=0 --> x=6\\x+4=---> x=-4[/tex]

Which expression is equivalent to 5(4x +3)-2x?
A- 18x+15 B- 18x+3 C- 7x+3 D- 2x+8​

Answers

Answer:

A. 18x + 15

Step-by-step explanation:

For this problem, we will simply simplify the given expression:

5(4x + 3) - 2x

= 5*4x + 5*3 - 2x

= 20x + 15 - 2x

= 20x - 2x + 15

= 18x + 15

Cheers


Find the measure of the angle indicated. Assume that lines which appear tangent are tangent.

will give 20 points :)

Answers

Answer:

D. 69°

Step-by-step explanation:

I think you divide 222° by 2, which equals 111, then subtract that from 180°, which equals 69°.

Evaluate tan(sin-1(-5/13)). Enter your answer as a fraction using the slash bar.

I will mark brainliest! Thank you!!

Answers

Hope you get it right
Sorry if it doesn’t help

Use the properties of exponents to identify which exponential function is equivalent to f(x) = x5/6. x11/6

A)
f(x) = x8/3
B)
f(x) = x55/6
C)
f(x) = x55/12
D)
f(x) = x55/36

Answers

Answer:

A

Step-by-step explanation:

did the problem

Your favorite pizza shop chargers $12 for any pizza plus $0.75 per topping. You have $20 to spend. At most, you can buy a pizza with [blank]
toppings.

Answers

Answer:

$15 - $11.50 = $3.50

$3.50 divided by .75 is 4.666

Which means the maximum number of toppings they can get is 4

Step-by-step explanation:

how do you solve
7x - 4y = 10 ?
just seeing how to sole this equation

Answers

Answer:

this is a simultanious equation and u need one more equation to do it

Step-by-step explanation:

there are many answers if u dont have the second equation.

You can just substitute a number in x then find y

eg.

x= 12/7 , y =0.5

Answer:

1. 7 x - 4 y = 10. 7x−4y=10. Add 4y to both sides. Add 4y to both sides.

2. 7x=10+4y. 7x=10+4y. The equation is in standard form. The equation is in standard form.

3. 7x=4y+10. 7x=4y+10. Divide both sides by 7. Divide both sides by 7.

4. \frac{7x}{7}=\frac{4y+10}{7} 77x​=74y+10​ Dividing by 7 undoes the multiplication by 7.

A box plot is shown below:

A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 25 to 39 on the number line. A line in the box is at 33. The whiskers end at 20 and 44. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors.

What is the median and Q3 of the data set represented on the plot?

Median = 30; Q3 = 44
Median = 36; Q3 = 44
Median = 30; Q3 = 39
Median = 36; Q3 = 39

Answers

Answer:

c

Step-by-step explanation:

A gas can holds 10 liters of gas. How many cans could we fill with 35 liters of gas?cans

Answers

Answer:

7/10

Step-by-step explanation:

We need to divide the 7 liters by the 10 liters that each can holds.

5. The Neutrality Acts allowed the U.S. to loan money to other countries at
War.
A. True
B.False

Answers

False is the answer to your question

hi can you please help me with my work​

Answers

It would be the one under you have chosen because the solution to the problem is x<16. So we know that “x” has to be less than 16. So the arrow should be pointing left.


Have an awesome day and I hoped that helped <3

Help please explain how you got the answer

Answers

Answer: V≈900 ft³

Step-by-step explanation:

Formula

V=πr²h

Given

r=5 ft

h=12 ft

Solve

V=πr²h

V=π(5)²(12)

V=π(25)(12)

V=300π

V≈300(3)

V≈900 ft³

Hope this helps!! :)

Please let me know if you have any questions

someone please answer this correctly!!!

Answers

Answer:

25 and 36

Step-by-step explanation:

5×5 < 35 < 6×6

25 < 35 < 36

I hope it helps you. If it helps don't forget to like and mark me

Put the following equation of a line into slope-intercept form, simplifying all fractions 4x+12y=48 (WITH A EXAMPLE) PLSS HELP I'M UNDER THE WATER

Answers

plato says 9. hope it helps

(3,0) ,(2,-1) find the slope

Answers

Answer:

-1

Step-by-step explanation:

y=-1+2

Which function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis?
A. g(x) = 3−8x
B. g(x) = −38x
C. g(x) = 8 • 3−x
D. g(x) = −8 • 3x

Answers

The answer should be letter A I believe correct me if I’m wrong.

Ill gove brainlyist and 40 points pleaseee
Find the area of this triangle,
Round to the nearest tenth.
4 ft
37
10 ft
[? ] ft2

Answers

Answer:

12

Step-by-step explanation:

Hello There!

When we are given two side lengths and the included angle we use this formula to solve for the area

[tex]A=\frac{1}{2} absin(C)[/tex]

where a and b = the side lengths and c = the included angle

The triangle gives us the following information

side length - 10 ft

side length - 4 ft

included angle - 37

Given this information we plug it into the formula

[tex]A=\frac{1}{2} 4*10sin(37)\\10*4=40\\40sin(37)=24.07260093\\\frac{24.07260093}{2} =12.03630046[/tex]

Finally we round to the nearest tenth and get that the area of the triangle is 12ft²

What doesn't belong: 3 11 6 66 33

Answers

Answer:

Step-by-step explanation:

6

Answer:

11 Doesn't belong because there are a 3 and 33, 6 and 66, but no 1 before 11.

what fraction of an hour is 6 minutes? give answer in its simplest form

Answers

Answer:

fraction is 1hr has 60 min so 6/60 is 1/10th fraction

Step-by-step explanation:

Answer:

QUESTION: what fraction of an hour is 6 minutes? give the answer in its simplest form.

ANSWER: 0.100

Step-by-step explanation:

Hope that this helps you out! :)      

If you have any questions please put them in the comment section below this answer.      

Have a great rest of your day/night!      

Please thank me on my profile if this answer has helped you.

A bucket can hold a total of 5 gallons of water. If the bucket is 45% full, how much water is in the bucket?

Answers

Answer:

2.25 or 2 1/4 gallons of water

Step-by-step explanation:

5*0.45=2.25

Fraction form 2 1/4

Decimal form 2.25

Hope this helps :)

The amount of bucket that is filled is 2.25 gallons of water

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total amount the bucket of water can hold = 5 gallons

The percentage of bucket that is full = 45 %

So ,

The amount of bucket of water that is full is =
percentage of bucket that is full x total amount the bucket of water can hold

The amount of bucket of water that is full is = ( 45 / 100 ) x 5

                                                                         = 0.45 x 5

                                                                         = 2.25 gallons

Hence , the amount of water that the bucket is filled is 2.25 gallons

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Suppose an NBA basketball player shooting an uncontested 2-point shot will make the basket with probability 0.6. How- ever, if you foul t he shooter, t he shot 'vill be missed, but t'vo free thro,vs will be a'varded. Each free thro'v is an independent Bernoulli trial 'vith success probability p. Based on the expected number of points the shooter 'vill score, for what values of p may it be desirable to foul the shooter?

Answers

Answer:

0.06

Step-by-step explanation:

The computation of the value of p is shown below;

P in the case (2 points if not fouled) = 0.6

Now Expected points if not fouled is

= 0.6 × 2

= 1.2

Now Expected points from free throw is

0 × (1-p)^2 + 1 × 2p(1-p) + 2 × p^2 = 2p

As we can see that 2p would be lower tha  1.2 in order to make a foul on shooter that represent all values of p<0.06 would be considered to foul in the shooter

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