Answer:
B
Step-by-step explanation:
you just have to plug it into y=mx+b form
Answer:
946 milliliter can
Step-by-step explanation:
She should consider how much is in it. Which one will last longer and is better. The bigger can has more in it so that one should be bought.
Hope this helps!
Answer:
C
Step-by-step explanation:
The quotient is 18
Answer:
The equation is:
![S=\frac{a_n*r-a_1}{r-1}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Ba_n%2Ar-a_1%7D%7Br-1%7D)
![S=\frac{\frac{16}{243}*\frac{2}{3}-\frac{1}{3}}{\frac{2}{3}-1}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B%5Cfrac%7B16%7D%7B243%7D%2A%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B3%7D%7D%7B%5Cfrac%7B2%7D%7B3%7D-1%7D)
The sum is:
![S=\frac{211}{243}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B211%7D%7B243%7D)
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If the sequence is infinite, the formula is:
![S = \frac{a_1}{1-r}](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Ba_1%7D%7B1-r%7D)
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Step-by-step explanation:
We must calculate the radius of the geometric series
![r =\frac{a_{n+1}}{a_n}\\\\r=\frac{\frac{2}{9}}{\frac{1}{3}}\\\\r=\frac{2}{3}](https://tex.z-dn.net/?f=r%20%3D%5Cfrac%7Ba_%7Bn%2B1%7D%7D%7Ba_n%7D%5C%5C%5C%5Cr%3D%5Cfrac%7B%5Cfrac%7B2%7D%7B9%7D%7D%7B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5Cr%3D%5Cfrac%7B2%7D%7B3%7D)
The first term of the series is: ![a_1=\frac{1}{3}](https://tex.z-dn.net/?f=a_1%3D%5Cfrac%7B1%7D%7B3%7D)
The last term of the series is: ![a_n=\frac{16}{243}](https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B16%7D%7B243%7D)
If the sequence is finite then the formula is:
![S=\frac{a_n*r-a_1}{r-1}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Ba_n%2Ar-a_1%7D%7Br-1%7D)
![S=\frac{\frac{16}{243}*\frac{2}{3}-\frac{1}{3}}{\frac{2}{3}-1}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B%5Cfrac%7B16%7D%7B243%7D%2A%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B3%7D%7D%7B%5Cfrac%7B2%7D%7B3%7D-1%7D)
![S=\frac{211}{243}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B211%7D%7B243%7D)
If the sequence is infinite then by definition as the radius are
then the formula for the sum of the geometric sequence is:
![S = \frac{a_1}{1-r}\\\\S = \frac{\frac{1}{3}}{1-\frac{2}{3}}\\\\S =1](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Ba_1%7D%7B1-r%7D%5C%5C%5C%5CS%20%3D%20%5Cfrac%7B%5Cfrac%7B1%7D%7B3%7D%7D%7B1-%5Cfrac%7B2%7D%7B3%7D%7D%5C%5C%5C%5CS%20%3D1)
I think it’s 4
0+8x=23+2x
6x=23
x=3,8333