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
GaryK [48]
3 years ago
5

The number of users on a website has grown exponentially since its launch. After 2 months, there were 90 users. After 4 months,

there were 810 users. Find the exponential function that models the number of users x months after the website was launched. Write your answer in the form f(x)=a(b)x.
Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

10(3)^x

Step-by-step explanation:

The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:

90=ab^2 and 810=ab^4

Solve each equation for a:

a=90/b^2 and a=810/b^4

Since a=a, set the other sides of the equations equal and solve for b.

90/b2=810/b4

Cross multiply, then divide and simplify as follows:

90b^4=810b^2

b^4/b^2=810/90

b^2=90

b^3

Now, use the value of b and the point (2,90) to find the value of a.

90=a(3^2)

a=10

So, substitute answers in original equation for a final answer of f(x)=10(3)^x.

You might be interested in
PLZ help!!
nlexa [21]

Answer:

Step-by-step explanation:

Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid.

Each side of the base of the pyramid is 9 cm and the height of the pyramid is 10 cm (as shown in figure below)

also, To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm

We have to find the number of wax cubes will Devin need in order to make the candle.

Consider Wax cubes of dimension 4 cm by 4 cm by 4 cm

Volume of cube =  (side)³

Thus, Volume of one wax cube is given by = (side)³

Volume of one wax cube  = (4)³= 64 cm³

Now we find the volume of square pyramid.

Volume of square pyramid =

Thus,Volume of given square base with base side 9 cm and height 10 cm is

Area of square = (side)²

Volume of square pyramid =

Volume of square pyramid =

Volume of square pyramid =

thus, the volume of square pyramid is 270 cm³

(approx)

Thus, the number of wax cubes required is 4.21. Rounding it off to the nearest whole number, we will get 5.

Thus,the number of wax cubes required is 5.

7 0
3 years ago
Given that the measurement is in centimeters, find the area of the circle to the nearest tenth. (Use 3.14 for π)
kvv77 [185]

Answer:

Option D) 254.3 cm2

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

we have

r=9\ cm

substitute

A=(3.14)(9)^{2}=254.3\ cm^2

7 0
3 years ago
What Is 2(2x-5)=3x+x-2x ?
oksano4ka [1.4K]

Answer:

x = 5

Step-by-step explanation:

Solve for x:

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

3 x + x - 2 x = 2 x:

2 (2 x - 5) = 2 x

Divide both sides by 2:

2 x - 5 = x

Subtract x from both sides:

(2 x - x) - 5 = x - x

2 x - x = x:

x - 5 = x - x

x - x = 0:

x - 5 = 0

Add 5 to both sides:

x + (5 - 5) = 5

5 - 5 = 0:

Answer: x = 5

7 0
3 years ago
Read 2 more answers
Please awnserrrrrrr quicklyyyyy
jeyben [28]
Pls give this a 5 star rating lol
4 0
3 years ago
Graph the linear equation. Find three
Sever21 [200]
Y=1/3x+2
(-6,0)
(0,2)
(6,4)
6 0
3 years ago
Other questions:
  • Complete this statement 20ax^2+25ax+15a=5a( )
    13·1 answer
  • 4+1/3x=5/12x-6 <br><br> solve for x
    11·2 answers
  • What does the distributive property combine to make multiplying whole numbers simpler
    5·1 answer
  • According to the American Heart Association considerations for selecting an exercise program should be:
    7·2 answers
  • Rename the number 24 tenthousands =
    6·1 answer
  • Suppose that you are attempting to estimate the annual income of 1700 families. In order to use the infinite standard deviation
    9·1 answer
  • What is the range of the discrete finite function?
    8·1 answer
  • How can you get the square side area??
    8·1 answer
  • Charlie's utility function is U(A, B) = AB, where A and B are the numbers of apples and bananas, respectively, that he consumes.
    14·1 answer
  • 1. Beginning with the equation x= -18, write the new equation produced by dividing both sides by 3.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!