The town of Sickville, with a population of 2603 is exposed to the Blue Moon Virus, against which there is no immunity. The number of people infected when the virus is detected is 95. Suppose the number of infections grows logistically, with k=0.59

Answers

Answer 1

Using the logistic equation, it is found that the number of people infected after t days is given by:

[tex]P(t) = \frac{2603}{1 + 26.4e^{-0.59t}}[/tex]

What is the logistic equation?

It is given by:

[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]

[tex]A = \frac{K - P(0)}{P(0)}[/tex]

In which:

K is the carrying capacity.P(0) is the initial amount.k is the rate.

In this problem, the parameters are as follows: K = 2603, P(0) = 95, k = 0.59.

Hence:

[tex]A = \frac{K - P(0)}{P(0)} = \frac{2603 - 95}{95} = 26.4[/tex]

Then:

[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]

[tex]P(t) = \frac{2603}{1 + 26.4e^{-0.59t}}[/tex]

More can be learned about the logistic equation at https://brainly.com/question/25697660


Related Questions

Make a number line and mark all the points that represent the following values of x.
X<-2 and x <-5

Answers

The inequality expressions x < -2 and x < -5 are used to illustrate unequal values

How to determine the number lines

Number lines are used to represent numbers at regular intervals

The expressions are given as:

x < -2 and x < -5

The above expression means that:

x is less than -2 and x is less than -5

Both statements cannot always be true.

However, x is less than -5 is true for the expressions x < -2 and x < -5

So, we represent the inequality x < -5 on the number line

See attachment for the number line

Read more about number lines at:

https://brainly.com/question/10851163

what are the missing numbers?

Answers

I guess the answer will be 15, 10, and 25 am not sure tho
I think 15,10, and 25 but i’m really not sure

Which of the following is an example of how self-awareness can affect communication?
a.
Self-awareness can help you choose who to communicate with.
b.
Self-awareness can help you decide how to communicate.
c.
Self-awareness can help you choose when to communicate.
d.
All of the above

Answers

Answer:

d all if these things are a part of self awareness

Answer:

d.  All of the above

Step-by-step explanation:

E2020

PLZ HELP ASAP! I will mark you brainliest!

Answers

Answer:

c for first page. b for second. d for third page

Step-by-step explanation:

Kenji is playing the video game Dragon Tamer, where players go on adventures finding and training dragons. In the first level of the game, he gets 10 points for finding a Silverthorn Dragon but gets – 6 points when it scorches him with fire. What is Kenji's score at the end of the first level?

Answers

Answer:

[tex]Final\ Score = 4\ points[/tex]

Step-by-step explanation:

Given

[tex]Silverthorn\ Dragon = 10\ points[/tex]

[tex]Fire\ Scorches = -6\ points[/tex]

Required

Determine the final score

Final score is calculated as follows:

[tex]Final\ Score = Silverthorn\ Dragon + Fire\ Scorches[/tex]

[tex]Final\ Score = 10\ points -6\ points[/tex]

[tex]Final\ Score = 4\ points[/tex]

Answer:

4

Step-by-step explanation:

3sqrt24-sqrt54+2sqrt27​

Answers

exact form:

[tex]3 \sqrt{6} + 6 \sqrt{3} [/tex]

decimal form:

[tex]17.74077407....[/tex]

Mr. Johnson sells and repairs watches at his store. Part A: Mr. Johnson took the price of a watch that was listed at $60 and marked it up by 30%. After the markup, what is the selling price of the watch?

Part B: A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *

Answers

Part A: 78$
Part B: 78.54$

I need help
how do I do this?​

Answers

Answer:

lol easy its  5

Step-by-step explanation:

whats 2+2 its so hard

Answers

4 it took me hours to solve that

Answer:

4!

Step-by-step explanation:

Please rate 5 stars and give brainlest.

The equation of line A is y = 6x + 12. Line B is perpendicular to line A and passes through the point (3, 11 1/2). What would be the solution to the system of equations represented by line A and line B?

Answers

Answer:

use the respective formula and solve

that describes a way to solve the equation x – 23 = 18

Answers

Answer:

One of the ways you could describe the solution is 18+23=x x=41.

Step-by-step explanation:

Answer:

X = 41

▬▬▬▬▬

41 - 23 = 18

23 + 18 = 41x

▬▬▬▬▬

Hope it helps!

Please Mark Brainliest.

9 = (-6p - (-3)) / -8 ​

Answers

Answer:

p = -0.35

Step-by-step explanation:

-8 ÷ ((-3) - 6 ( -0.35 ) = 8.88( repeating ) Rounding to 9

Hope this helps.

4602837593857304985+395283059282352323

Answers

Answer:4998120653139657308

Step-by-step explanation:

sooo.... i swapped the gluestick for a stick of cheese in my math class... and now my test smells like cheese, and it ruined the ink, and i cant read the test now... what do i do?

Answers

Answer:

Throw away your test and tell your teacher that you didn't get your test

Hi, I can use some help wiTh this thanks!

Answers

Answer:

Square root of 9 = 3 ! ^^

Step-by-step explanation:

[tex]3*3=9 \\3^{2}=9\\\sqrt{9} = 3[/tex]

^^

the square root of 9 is three because 3 to the power of two, or three squared is 9

Can you find the x-intercept?​

Answers

the x- intercept is 4, and this graph goes -2,2:4,4: and -3,2

Paper Answer if can (write explanation on paper) - Brainliest given:
Solve for x:
x + 16 = 1068

Answers

Answer:

x = 1052

Step-by-step explanation:

 Refer to picture:

Answer:

1052

Step-by-step explanation:

x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052

A torch and a battery cost £2.50 altogether.
The torch costs £2.00 more than the battery.
What fraction of the total price is the battery's price?
Give your answer in its simplest form.

Answers

Answer:

1/10

Step-by-step explanation:

2.50-2=0.5

0.5/2=0.25

0.25+2=2.25

2.5-2.25=0.25

0.25/2.5= 0.1

0.1 = 1/10

find two integers whose sum is -8 and product 15

Answers

the two integers are -5 and -3.

-5 + -3 = -8
-5 • -3 = 15

hope this helps
have a great day

What kind of shape is created from the cross section seen here on the square pyramid?
HELP IMAGE INCLUDED

Answers

a triangle.........................................

Answer:

a rectangular pyramid

Step-by-step explanation:

carry out this experiment

get a sheet of paper, create a square from the sheet, after that divide the square in half. Which shape is formed.

Do mark brainliest


What is the sum of the solutions to the equation 2m² + 18 = 15m

Answers

Answer:3/2, 6

Step-by-step explanation:

Solve the system y = -x + 7 and y = 0.5(x - 3)2s

This is for 25 points.

Answers

(1,6) & (7,0). Step-by-step explanation: y = -x + 7. y = -0.5(x - 3)² + 8. To solve the system, solve these two equations

Step-by-step explanation:

Identify the domain and range of the function graphed below

Answers

Answer:

all real numbers

Step-by-step explanation:

there is no end point so domain and range are all real numbers.

The radius of a circle is 7 kilometers. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer:

A circle of radius = 7 or diameter = 14 or circumference = 43.98 kilometers has an area of: 153.9 square kilometers (km²) 1.539 × 10 8 square meters (m²)

Step-by-step explanation:

What is the value of x in the equation −6 + x = −5? (1 point)
1
11
-1
-11​​

Answers

Answer:

1

Step-by-step explanation:

-6 + 1 = -5

The value of x in the equation is 1.

-6 + 1 = -5
This equation is true.

PLEASE HELP WILL MARK BRAINILIEST
The scores for today's math quiz are 75, 95, 60, 75, 95, and 80. Explain the steps needed to create a histogram for the data. PLEASE MAKE THE ANSWER SCHOOL APPROPRIATE.

Answers

Answer:

Chill, it ain't complicated

Step-by-step explanation:

A histogram is basically a bar graph but there's no space between the bars.

The graph has to be the dependent component (the score) against the independent component (the number of students who took the math quiz)

Depending on your size of paper pick a simple scale (1 cm could be either 5% or 10%)

Leave some space between the y (vertical) axis and the first bar.

Do them in the order they appear, i.e 75, 95... 80

[tex]\sqrt{49}[/tex]

Answers

Answer:

7

Step-by-step explanation:

[tex]\sqrt{49}[/tex] = 7

Answer: 7

We should divide 49 by 7, it's only factor that is not 1.

49 ÷ 7 = 7.

So, the answer is 7.

i need help, at midnight, the temperature was -8*f at noon, the temperature was 23*f, which expression represents the increase in temperature? (a) -8 -23
(b) |-8| -23 (c) -8 - |23| (d) |-8 -23|

Answers

Answer:

D. |-8-23|

Step-by-step explanation:

|-8-23| = 31

Is the point (11,5) on the parabola? Show or explain your work.

Answers

Answer:

The point (11, 5) is NOT on the parabola.

Step-by-step explanation:

Let [tex](x_0,y_0)[/tex] be any point on the parabola

Let [tex](a, b)[/tex] be the focus

Let [tex]y=c[/tex] be the the directrix

Distance between [tex](x_0,y_0)[/tex] and the focus: [tex]\sqrt{(x_0-a)^2+(y_0-b)^2}[/tex]

Distance between [tex](x_0,y_0)[/tex] and the directrix is [tex]|y_0-c|[/tex]

Given:

focus  (6, 4)directrix  y = 0

Therefore:

Distance between [tex](x_0,y_0)[/tex] and the focus: [tex]\sqrt{(x_0-6)^2+(y_0-4)^2}[/tex]

Distance between [tex](x_0,y_0)[/tex] and the directrix is [tex]|y_0-0|[/tex]

Equate the two expressions and solve for [tex]y_0[/tex]:

     [tex]\sqrt{(x_0-6)^2+(y_0-4)^2}=|y_0-0|[/tex]

[tex]\implies (x_0-6)^2+(y_0-4)^}=(y_0-0)^2[/tex]

[tex]\implies {x_0}^2-12x_0+36+{y_0}^2-8y_0+16={y_0}^2[/tex]

[tex]\implies {x_0}^2-12x_0-8y_0+52=0[/tex]

[tex]\implies 8y_0={x_0}^2-12x_0+52[/tex]

[tex]\implies y_0=\dfrac18{x_0}^2-\dfrac{12}{8}x_0+\dfrac{52}{8}[/tex]

[tex]\implies y_0=\dfrac18{x_0}^2-\dfrac32x_0+\dfrac{13}{2}[/tex]

Now rewrite with (x, y):

[tex]\implies y=\dfrac18x^2-\dfrac32x+\dfrac{13}{2}[/tex]

Therefore, this is the equation of the parabola

To determine if the point (11, 5) is on the parabola, input x = 11 into the equation:

[tex]\implies y=\dfrac18(11)^2-\dfrac32(11)+\dfrac{13}{2}[/tex]

[tex]\implies y=\dfrac{41}{8}[/tex]

So the point (11, 5) is NOT on the parabola.

Help pleaseeeeeeeeeee

Answers

Answer:

angle relationship is co-interior

x = 3.94

Step-by-step explanation:

(34x - 1 ) + 45 = 180 [co-interior angles add up to 180 degrees]

34x - 1 = 135

34x = 134

x= 134/34 =3.94

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