MATHEMATICS COLLEGE

The spread of a disease can be modeled as n=200 Square root t, where n is the number of infected,and t is the time(in days). How long will take until the number of infected people reaches 1400

Answers

Answer 1

Answer:

Answer:

49 days

Step-by-step explanation:

The spread of the disease is modeled as

$n = 200 √(t)$

where n = number of infected people

t = time (in days)

When the number of infected people is 1400, the number of days t will be:

$1400 = 200√(t)\n \n1400 / 200 = √(t)\n\n7 = √(t)\n\n=> t = 7^2 = 49$

It will take 49 days for the number of infected people to reach 1400.

Answer 2

Answer:

Final answer:

Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.

Explanation:

To find out how long it will take until the number of infected people reaches 1400, we are going to set n = 1400 (number of infected people) in the given equation, and then solve for t (time in days).

So, 1400 = 200 √t. Dividing both sides by 200, we get √t = 7. Then, squaring both sides give us t = 49 days. So, it will take 49 days for the number of infected people to reach 1400.

Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.

Learn more about Function Solving here:

brainly.com/question/31400068

#SPJ3

Related Questions

When we slice a three-dimensional object, we expose new faces that are two dimensional. The two-dimensional face is called ______________.
The ratio of green apples to red apples at a grocery store is 2 to 3. There are 78 red apples at the grocery store. What is the total number of apples at the store?
Dy/dx=2xy/x²+y² solve
A ferryboat makes four trips to an island each day.The ferry can hold 88 people.If the ferry is full on each trip,how many passengers are carried by the ferry each day?
The slope intercept form of a line isy=mx+bThe slope is represented by____The y-intercept is represented by____

Help me solve each question

Answers

Answer:

Step-by-step explanation:

A deck of cards contains RED cards numbered 1,2,3, BLUE cards numbered 1,2,3,4,5,6, and GREEN cards numbered 1,2. If a single card is picked at random, what is the probability that the card is GREEN AND has an ODD number? Provide the final answer as a fraction.

Answers

Answer:

8/15 because its 8 odd numbers out of 15 numbers all together

Find the domain of f and f −1 and its domain. f(x) = ln(ex − 3). (a) Find the domain of f. (Enter your answer using interval notation.) (−2,[infinity]) (b) Find f −1. f −1(x) = x+ln(3)

Answers

Answer:

a.Domain of f=(1.099, $\infty)$

b. $f^(-1)(x)=ln(e^x+3)$

Step-by-step explanation:

Let $y=f(x)=ln(e^x-3)$

We know that domain of ln x is greater than zero

$e^x-3>0$

Adding 3 on both sides of inequality

$e^x-3+3>0+3$

$e^x>3$

Taking on both sides of inequality

$lne^x>ln 3$

$x>ln 3$ =1.099

By using $lne^x=x$

Domain of f=(1.099, $\infty)$

Let $y=f^(-1)(x)=ln(e^x-3)$

$e^y=e^x-3$

By using property $lnx=y\implies x=e^y$

$e^x=e^y+3$

Taking ln on both sides of equality '

$lne^x=ln(e^y+3)$

$x=ln(e^y+3)$

Replace x by y and y by x

$y=ln(e^x+3)$

Substitute y= $f^(-1)(x)$

$f^(-1)(x)=ln(e^x+3)$

Find the first partial derivatives of the function. f(x, t) = e−9t cos(πx)

Answers

Answer:

$f_(x)(x,t) = -\pi e^(-9t) sin((\pi x))$

$f_(t)(x,t) = -9cos((\pi x)) e^(-9t)$

Step-by-step explanation:

We are given the following function:

$f(x,t) = e^(-9t) cos((\pi x))$

First derivatives:

We find the first derivatives in function of x and of t.

Function of x:

The exponential is only a function of t, so it is treated as a constant.

$f_(x)(x,t) = e^(-9t) \frac{d}{dx](cos((\pi x))) = -e^(-9t) sin((\pi x)) (d)/(dx)(\pi x) = -\pi e^(-9t) sin((\pi x))$

Function of t:

Same logic as above, the cosine as treated as a constant.

$f_(t)(x,t) = cos((\pi x)) (d)/(dt)(e^(-9t)) = cos((\pi x)) e^(-9t) (d)/(dt)(-9t) = -9cos((\pi x)) e^(-9t)$

Final answer:

To find the first partial derivatives of the function e^(-9t) cos(πx), we differentiate the function with respect to x and t separately, treating the other variable as a constant. The partial derivative with respect to x is 9t sin(πx), while the partial derivative with respect to t is -e^(-9t) cos(πx).

Explanation:

To find the first partial derivatives of the function, we will differentiate the function with respect to each variable separately while treating the other variable as a constant.

For the partial derivative with respect to x, we can treat t as a constant. Differentiating e-9t cos(πx) with respect to x gives us -9t * (-sin(πx)) = 9t sin(πx).

For the partial derivative with respect to t, we can treat x as a constant. Differentiating e-9t cos(πx) with respect to t gives us -(e-9t) * cos(πx) = -e-9t cos(πx).