1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anon25 [30]
3 years ago
13

In 1995, Orlando, Florida, was about 175,000. At the time, the population was growing at a rate of about 2000 per year. Write an

equation in slope-intercept form to find orlando's population for any year
Mathematics
1 answer:
gladu [14]3 years ago
6 0

Answer:

y= 2000 * x + 175000

Step-by-step explanation:

Given is Population is 175,000

Increase in rate = 2000/year

Let x be the population in 1995 which is C= 175,000

y= Population after per year

We know the formula for slope intercept form is

y= mx + C     ............... (i)

Now from the suppose values and given

m= 2000

Now putting values in equation (i) gives

y= 2000 * x + 175000

Here x is the No of years

You might be interested in
Find a power series representation for the function
Mars2501 [29]

f(x)=\sum^{\infty}_{n=0} \frac{(-1)^{n}}{(2n+1)!}x^{2(2n+2)} + e^{2} \sum^{\infty }_{n=0} \frac{1}{n!}3^{n}x^{n} is the power series representation for the function f(x) = x³sin(x) + e³ˣ⁺². This can be obtained by using power series representation of each terms, sin x, eˣ and substituting in the function.

<h3>Find the power series representation for the function:</h3>

In the question the given function is,

⇒ f(x) = x³sin(x) + e³ˣ⁺²

 

We know that series representation of sin x and eˣ are:

  • sin x = \sum^{\infty}_{n=0} \frac{(-1)^{n}}{(2n+1)!}x^{2n+1}
  • e^{x} = \sum^{\infty }_{n=0} \frac{1}{n!}x^{n}

   ⇒ e^{3x} = \sum^{\infty }_{n=0} \frac{1}{n!}x^{n}

             = \sum^{\infty }_{n=0} \frac{1}{n!}3^{n}x^{n}

Substituting the series representation in the function we get,

⇒ f(x) = x³sin(x) + e³ˣ⁺²

⇒ f(x)=x^{3}\sum^{\infty}_{n=0} \frac{(-1)^{n}}{(2n+1)!}x^{2n+1} + e^{2} \sum^{\infty }_{n=0} \frac{1}{n!}3^{n}x^{n}

f(x)=\sum^{\infty}_{n=0} \frac{(-1)^{n}}{(2n+1)!}x^{2(2n+2)} + e^{2} \sum^{\infty }_{n=0} \frac{1}{n!}3^{n}x^{n}

Hence f(x)=\sum^{\infty}_{n=0} \frac{(-1)^{n}}{(2n+1)!}x^{2(2n+2)} + e^{2} \sum^{\infty }_{n=0} \frac{1}{n!}3^{n}x^{n}  is the power series representation for the function f(x) = x³sin(x) + e³ˣ⁺².

Learn more about power series representation here:

brainly.com/question/11606956

#SPJ1

5 0
2 years ago
Read 2 more answers
4) WILL MAKE BRAINLIEST <br><br> write the slope-interception form of the equation of each line.
sesenic [268]
The answer would be C, y=3x-5
5 0
3 years ago
For the month of March in a certain​ city, 57​% of the days are cloudy. Also in the month of March in the same​ city, 55​% of th
kirill115 [55]

Answer:

P(F | C) = 0.96

Step-by-step explanation:

Hi!

This is a problem on conditional probability. Lets call:

C = { cloudy day }

F = { foggy day }

Then F ∩ C = { cloudy and foggy day }

You are asked for P(F | C), the probability of a day being foggy given it is cloudy. By definition:

P(F|C)=\frac{P(F\bigcap C)}{P(C)}

And the data you have is:

P(C) = 0.57\\P(F \bigcap C) =0.55

Then: P(F | C) = 0.96

3 0
3 years ago
(x + 6): x= 5:2 Work out the value of x.​
Dvinal [7]

Answer:

x is 4

Step-by-step explanation:

{ \bf{(x + 6) : x = 5 :2 }} \\  { \tt{ \frac{(x + 6)}{x}  =  \frac{5}{2} }} \\  \\ { \tt{5x = 2(x + 6)}} \\   { \tt{5x = 2x + 12}} \\ { \tt{3x = 12}} \\ { \tt{x = 4}}

5 0
3 years ago
Read 2 more answers
Find the distance between the points (-10, -4) and (-4,-4).
Rudiy27

Answer:

im here for the points

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • If f(x)=3^x+10x and g(x)=4x-2 find (f+g)(x)
    6·1 answer
  • What would it be answer for 23 points
    7·1 answer
  • Can somebody PLEASE help me on this question, I really need an answer. What are the reasons for a,b,c, and, d?
    5·1 answer
  • What polynomial should be subtracted from the polynomial y^2–5y+1 to get the difference equal to 4y^2-y+7
    8·1 answer
  • What is 3.47 divided by 8
    12·2 answers
  • Solve the equation. q - 2.17 = 6<br> 10 points
    11·2 answers
  • 8kg ham costs $12/kg. find the cost per pound.
    7·1 answer
  • Expand (2x+5)give answer plz<br>​
    15·1 answer
  • What is the product?<br> (X^4)(3x-2)(4x2 +5x)?
    7·1 answer
  • A Susan B. Anthony dollar is in the shape of a regular polygon. it has 11 sides.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!