Una poblacion es atacada por una epidemia de gripe sea N(t)= numero de personas enfermas al tiempo t. En dias la epidemia inicio en N(0)= 50. Un matematico determina que la gripe se extiende a razón de f'(t)= 120t- 3t^2 personas por día. Determina
a) La función original que describe el comportamiento de la epidemia. (Aplica los mismos pasos explicados anteriormente.




b) ¿Cuántos enfermos habrán después de 15 días si no se controla la epidemia?

Answers

Answer 1

Answer:

Habrán 10175 enfermos a los 15 dias.

Step-by-step explanation:

La tasa de cambio de la población enferma por la epidemia de gripe es:

[tex]N'(t)=120t-3t^2[/tex]

Donde t es el tiempo en dias, y se sabe que la epidemia inició en N(0)=50.

a)

Para encontrar la función original que describe el comportamiento de la epidemia, debemos integrar la función:

[tex]N(t)=\int N'(t)dt[/tex]

[tex]N(t)=\int (120t-3t^2)dt[/tex]

Integrando:

[tex]\displaystyle N(t)=120\frac{t^2}{2}-3\frac{t^3}{3}+C[/tex]

Simplificando:

[tex]\displaystyle N(t)=60t^2-t^3+C[/tex]

Para determinar el valor de C, usamos la condición inicial N(0)=50:

[tex]\displaystyle 50=60(0)^2-(0)^3+C[/tex]

Se tiene que C=50, y la función queda determinada como:

[tex]\displaystyle N(t)=60t^2-t^3+50[/tex]

b) El número de enfermos a los t=15 dias se determina substituyendo el valor en la función original:

[tex]\displaystyle N(15)=60(15)^2-(15)^3+50[/tex]

Calculando:

[tex]N(15)=13500-3375+50=10175[/tex]

Habrán 10175 enfermos a los 15 dias.


Related Questions

What is the affect on the graph of the linear parent function f(x) equals X when FX is replaced by FX +3

Answers

Answer:

The graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

Step-by-step explanation:

We know that when we add a constant to the input of the parent function, we get a horizontal shift.

The direction of shifting depends upon the value of the added constantly. If the added constant is negative, the shift of the graph will be left and if the added constant is positive, the shift of the graph will be right.

For example, consider the function

f(x)

so adding [tex]3[/tex] in the put i.e. [tex]f(x+3)[/tex] would be a change on the inside of the function, giving a horizontal shift left by 3.

Therefore, the graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

Quick! Please Help Me ASAP!

Answers

Answer:

D

Step-by-step explanation:

whats 1+1 ill give you the brainliest PLS HELP

Answers

Answer:

2

Step-by-step explanation:

i believe it's 2 my dude

Answer:

2

Step-by-step explanation:

If you have one apple, and add another, you now have two. You can count 1,2,3 or use fingers

PLS HELP!!!

nevaeh is buying balloons for jaylah birthday party. the balloons come in packages of 4. find multiples of 4 to tell how many balloons she will have if she buys 2,3,or 4 packages

Answers

Answer: If she buys 2 packages she gets 8 balloons. If she buys 3 then it’s 12 balloons and for 4 packages it’s 16 balloons.

Step-by-step explanation:

reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee+reee=

Answers

Answer:

....................

Step-by-step explanation:

=Reeeeeeeeeeeeeeeeee

can anyone help pls?

Answers

I think its either B or C

Yeah I think that it’s B

The base of a triangle is 3 inches more than 2 times the height. If the area is 7 square inches,find the base and the height.​

Answers

Step-by-step explanation:

the H =7 and the base = 24

what is negative 2 over 3 times negative 3 over 4?

-2/3 x -3/4=?

Answers

Answer:

0.5

Step-by-step explanation:

-14

Step-by-step explanation:

this is very eeasy question ookay step 1 cross multiply -2/3 *-3/4 okay and answer is -6 and -8 = -14 ookay sovled

In ΔTUV, v = 990 inches, t = 840 inches and ∠U=148°. Find the length of u, to the nearest inch.

Answers

Answer:

the answer is 1760

Step-by-step explanation:

Frank says that 2/10 of the grid below is shaded. Kendra says that 20/100 of the grid is shaded. Who is correct and why?

Answers

Answer:

They are both correct because each fraction can simplify down to 1/5.

If you divide 2/10 by 2 you get = 1/5

Divide 20/100 by 20 to get = 1/5

2. Twenty-four fourth graders are going on a field trip to the Academy of Science. They need to form 3 groups of students for the tour guides. How many students will be in each group? Show how you found your answer. ​

Answers

8 students in each group

If x+3 is a factor of x^3-x^2-10x+A. What is the value of A?

Answers

Answer:

[tex]A = 6[/tex].

Step-by-step explanation:

Let [tex]a[/tex] denote a constant (a number, rather than a variable like [tex]x[/tex].)

Let [tex]f(x)[/tex] denote an expression about [tex]x[/tex] (for example,

By the factor theorem, if [tex](x - a)[/tex] is a factor of [tex]f(x)[/tex], then [tex]f(a) = 0[/tex]. In other words, if all mentions of [tex]x[/tex] in the expression [tex]f(x)\![/tex] are replaced with [tex]a[/tex], then the expression should evaluate to zero.

[tex](x + 3)[/tex] is equivalent to [tex](x - (-3))[/tex]. That is: [tex]a = -3[/tex].

Replace all mentions of [tex]x[/tex] in [tex]x^3 - x^2 - 10\, x + A[/tex] by [tex](-3)[/tex] to get:

[tex](-3)^3 - (-3)^2 - 10\times (-3) + A[/tex].

That should evaluate to zero. Therefore: [tex]-27 - 9 + 30 + A = 0[/tex]. Solve for [tex]A[/tex] to get [tex]A = 6[/tex].

| -7+5 | resuelve ejercicio con valor absoluto​

Answers

Answer:12

Step-by-step explanation: absolute value will always be positive

12

the absolute value is always positive so that would make the problem 7 + 5 which equals 12 :)

how many $10 bills are equal to a 1000 bill?

Answers

Answer:

100

Step-by-step explanation:

because 10×100=1000

Answer:

100 of the $100 bills equals to $1000

Step-by-step explanation:

1000/100=100

Item 3
Which of the following is the closest approximation of 271−−−√
271
?

Answers

thats hard bruv but gl

A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. Find P ( red or blue)

Answers

Answer:

5/8

Step-by-step explanation:

To find the combined probability we will write as a fraction with the number of occurrences for the specified conditions.

Here, we have 16 marbles total (as 6 + 6 + 4 = 16) and we want to find the probabiliy of choosing either a red or blue marble out of the 16. There are 10 marbles that are either red or blue (as 16 - 6 = 10) so the fraction would be 10/16. However, we still need to get this simplest form.

[tex]\frac{10}{16} = \frac{5}{8}[/tex]

As we cannot simplify 5/8 any further, this is the final answer.

I need help with finding x
ill give brainiest to whoever shows work

Answers

Answer:

x=-5

Step-by-step explanation:

-3-(7x+5)+9x=x-8+3x+10

Distribute the -1 to the terms in parentheses.

-3-7x-5+9x=x-8+3x+10

Combine like terms on both sides.

-8+2x=4x+2

Add 8 to both sides.

2x=4x+10

Subtract 4x from both sides.

-2x=10

Divide both sides by -2

x=-5

HTH :)

H. C. F of 36,60.and 72​

Answers

Answer:

H. C. F=12

Step-by-step explanation:

What is the measure of

Answers

56° degrees if that is right

I believe it is 56 degrees. that's the answer I put in and I got it right

pls can some one help if you like


A roller coaster moves along an inclined linear path before it reaches its maximum height. The car moves at a constant speed and gains 4 meters in height every 3 seconds.

The slope of the line that represents the height of the car in meters in terms of time in seconds is Answer 1

If the car takes 54 seconds to reach the maximum height, then the maximum height above the ground is answer2
meters.

tell me the answer pls


.

Answers

Answer:well first you add 3 and 4 then

Step-by-step explanation:

During a food drive, a local middle school collected 8,502 canned food items. Each of the 31 classrooms
that participated in the drive donated about the same number of items. Estimate the number of items
each classroom donated.
Each class donated about
cans.

Answers

Answer:

it would be around 274

Step-by-step explanation:

if you divide 8,502 by 31 you will get 274.258064516129, so the estimate would be 274.

each classroom donated about 274 canned food items.

Fill in the blank with the missing term in the pattern. 4,-8, 16, ______ 64​

Answers

Answer:

-32

Step-by-step explanation:

Because if you multiply

4 x-2=-8

-8 x -2=16

16 x -2 =-32

-32 x -2=64

A gas has a volume of 5.0 L at a pressure of 50kPa. What happens to the volume when then the pressure is increased 125kPa. The temperature does not change. ​

Answers

9514 1404 393

Answer:

  volume goes to 2.0 L

Step-by-step explanation:

At constant temperature, volume and pressure are inversely related. Increasing the pressure by a factor of 125/50 = 2.5 will cause the volume to be reduced by that factor.

  volume = 5.0L / 2.5

  volume = 2.0 L

Write an equation in slope-intercept form of the line shown.

Answers

Answer:

y = 3/4x - 2

Step-by-step explanation:

slope intercept form: y = mx + b

y-intercept(when x= 0) is given by b

slope is given by m

lets find the slope using the two given points, (4,1) and (8,4)

m = y2-y1 / x2-x1

m = 4 - 1 / 8 - 4

m = 3/4

Now use any of the given points to begin writing your equation, which will help you find the y intercept - ill use (4,1).

1 = 3/4(4) - b

1 = 3 - b

b = -2

now you have m and b so you can finish writing your equation.

y = mx + b

y = 3/4x - 2

convert 17 kilometers into yards round your answer to the nearest whole number.

Answers

The equivalent of 17 km in yards to nearest whole number is 18,591 yards.

The given parameters;

17 kilometers to yards

To convert 17 km to yards, we find the equivalent of 1 kilometer in yards.

1 km = 1093.61 yards

Now, multiply the 17 km with its equivalent in yards as shown below;

[tex]= 17 \ km\times \frac{1093.61 \ yards}{1 \ km} \\\\= 18,591.37 \ yards\\\\\approx 18,591 \ yards[/tex]

Thus, the equivalent of 17 km in yards to nearest whole number is 18,591 yards.

Learn more here: https://brainly.com/question/17192728

What’s 9 + 10? ‎ ‎ ‎ ‎

Answers

21 HAHAHHAH IK SO SMART LOO RAWR XD
21!!! You already know!!!! Nah jk 19

a lemonade recipe calls for 6 gallons of water how many quarts of water are needed for the recipe ​

Answers

Answer:

24 quarts

Step-by-step explanation:

1 gallon = 4 quarts. 6 gallons x 4 = 24

A storage tank is made of a 4 m tall cylinder joined by a 3 m tall cone . If the diameter of the cylinder is 5 m, what is the radius of the end of the cone if 0.75 m has been cut off the tip

Answers

Answer: The answer is 0.625 (the height of the cylinder is not needed!)

A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah running at a constant speed.

Answers

Answer: For meters it is 3,000

Step-by-step explanation: Do 120 x 25= 3,000

Step-by-step explanation:

120 x 25 = 3000

270 ➗ 25 = 10.8

120 ➗ 4 = 30

3000 ➗ 25 = 120

270 ➗ 10.8 = 25

Noah has a coupon for 30% off at his favorite clothing
store. He uses it to buy a hoodie and a pair of jeans.
Noah paid $28 for the jeans after using the coupon.
What is the regular price of the jeans?

Answers

Answer:

$21.54

Step-by-step explanation:

price paid    = regular price ( 1 + coupon in percent)

             $28 = regular price x (1.3)

regular price = $28 / 1.3

                     = $21.54

           

The regular price of the jeans is equal to $93.33.

Let the cost price be C.

Given the following data:

Coupon = 30%Selling price = $28

To calculate the regular price of the jeans:

Since Noah had a coupon for 30% off, it simply means that he would get a discount of 30% for any clothing he buys at his favorite clothing store. Thus, the cost price of the jean multiplied by 0.3 would give the amount of money to be paid by Noah, which is $28.

Mathematically, the selling price is given by:

[tex]28 = \frac{30}{100} \times C\\\\2800 =30C\\\\C=\frac{2800}{30}[/tex]

C = $93.33

Read more: https://brainly.com/question/25803541

Other Questions
Visitors to Ireland today can participate in a ______, a traditional session of Irish music played in a pub. If 11.9 kJ are used to heat a sample of water the temperature increases from 20.0C to650C. Calculate the mass of the watergeneral formula In the space provided, compare and contrast the introductory paragraph and the concluding paragraph. How are they similar? How are they different? Include information on the different elements in each paragraph. what is 2/3 dived by the greatest comman facter of 4 and 8? 7x 11x = 20(Multi- step equations)please helpmath test (4/5 - 7/5) + 1/5 simplified What is a brief summary of Circe and Land of the Dead from the Odyssey. Where does the energy in most ecosystems originate A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 31 units 39 units 41 units 49 units Why does Tuck talk seriously to Winnie What is the solution to the equation 1/4x - 1/8 = 7/8 + 1/2 which expression has the same value as -5 - (-9)? When the value of the y-intercept(b) change by subtracting a number from "b" in the equation "y=mx+b", the graph will move of shift down ? true or false Give an example of a political boundary that uses physical features. Be specific and name the country(ies) and the physical feature (river, mountain, desert). which two integers is square root 102 between? please help Question 10 of 10Which best describes the topics of the "blaxploitation" films of the 1970s?A. Filled with musicB. SensationalC. FunnyD. Science fictionSUBMIT Help! This is a test!Which statement correctly describes the expression (-8)(-9)?A. Both factors are negative, so the product will be negative.B. One factor is positive and one factor is negative, so the productwill be positiveC. Both factors are negative, so the product will be positive.D. One factor is positive and one factor is negative, so the productwill be negative. Danielle and David will run in a marathon. Danielle's running pace is 7 miles per hour, and David's is 4 miles per hour. If they both start at the same point, how manyminutes should it take Danielle to be mile ahead of David? Mikey had 104 nickels and 88 dimes she wants to divide the coins into group of each group will have the same number of nickels in the same number of dimes what is the largest number of groups she can have Read the passage, then answer the question that follows. Even as Gandhi was working for Balasumdaram, the South Africans passed a new law designed to make life difficult for Indians. If an indentured worker chose to stay past his or her contract and settle, the worker was slapped with an annual tax, which was a heavy burden for Indians, who barely survived on their wages. The message was clear: You were brought to Natal only as a guest worker; you have no right to stay. Today in the United States we allow Mexicans and people from Central America to milk cows and to pick tomatoes, strawberries, grapes, and other crops, but Congress has been deadlocked over the rules for allowing them to become residents or citizens. Just like the whites in Natal, we want the cheap labor but are reluctant to offer those same workers and their children a home in our country. Sugar Changed the World, Marc Aronson and Marina Budhos What is the authors primary purpose in this passage? to convince readers that Gandhi was a visionary leader to inform readers of the difficulty of life as an indentured servant to persuade readers that modern forms of indentured servitude exist to entertain readers by drawing parallels between past and present issues