Answer:
![y = \frac{1}{4} (4) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20%284%29%20%7B%7D%5E%7Bx%7D%20)
Step-by-step explanation:
An exponetial function is represented by
![y = ab {}^{x}](https://tex.z-dn.net/?f=y%20%3D%20ab%20%7B%7D%5E%7Bx%7D%20)
where a is the vertical stretch or initial rate and b is the factor or base.
Since neither point have a x coordinate of zero. Use this method.
plug in y value into the formula and x value into there as well like this
![16 = ab {}^{3}](https://tex.z-dn.net/?f=16%20%3D%20ab%20%7B%7D%5E%7B3%7D%20)
![4 = {ab}^{2}](https://tex.z-dn.net/?f=4%20%3D%20%20%7Bab%7D%5E%7B2%7D%20)
if you divide the second equation from the first
![\frac{16 = ab {}^{3} }{4 \ = ab {}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%20%3D%20ab%20%7B%7D%5E%7B3%7D%20%7D%7B4%20%5C%20%3D%20ab%20%7B%7D%5E%7B2%7D%20%7D%20)
![4 = b {}^{}](https://tex.z-dn.net/?f=4%20%3D%20b%20%7B%7D%5E%7B%7D%20)
so our equation now is
![y = a(4) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%20a%284%29%20%7B%7D%5E%7Bx%7D%20)
know let plug one of the point in to find a
Use 3,16
![16 = a(4) {}^{3}](https://tex.z-dn.net/?f=16%20%3D%20a%284%29%20%7B%7D%5E%7B3%7D%20)
![16 = a \times 64](https://tex.z-dn.net/?f=16%20%3D%20a%20%5Ctimes%2064)
![\frac{16}{64} = a](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%7D%7B64%7D%20%20%3D%20a)
![a = \frac{1}{4}](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20)
So our equation is
![y = \frac{1}{4}(4) {}^{x}](https://tex.z-dn.net/?f=%20y%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%284%29%20%7B%7D%5E%7Bx%7D%20)
25% is the percentage of magazines
17mm is the answer.
To solve this:
1.) Find the radius of the entire pencil.
The radius of the graphite is .75 (half the diameter) and the thickness of the wood is 2, so 2 plus .75 gives you a total radius of 2.75.
2.) Using this radius, find the circumference of the entire pencil using the equation C = 2 • pi • r.
C = 2 • pi • r
C = 2 • 3.14 • 2.75
C = 17.27 (17 is the answer after rounding to the nearest millimeter)
Answer: 10.48808848. so it would be 10.49
Step-by-step explanation:
Answer:
48 people.
Step-by-step explanation:
The sequence is 3 5 7 ...
The common difference is 2 so by the 7th stop 6 lots of people have boarded and the total is:
3 + 5 + 7 + 9 + 11 + 13 = 48 people.
=