Answer: Option a.
Step-by-step explanation:
1. The sequence shown in the problem is a Geometric sequence, because it has a common ratio. This means that when you multiply one of those numbers by the common ratio, you obtain the next number.
2. Then, you can calculate the common ratio as following:
![r=\frac{108}{-324}=-\frac{1}{3}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B108%7D%7B-324%7D%3D-%5Cfrac%7B1%7D%7B3%7D)
3. Therefor, the next term is:
![(12)(-\frac{1}{3})=-4](https://tex.z-dn.net/?f=%2812%29%28-%5Cfrac%7B1%7D%7B3%7D%29%3D-4)
Answer:
either a or c no problem nskskdjdjd
Answer:
Step-by-step explanation:
g(-2) = -2 -3 = -5
f(-5)= 3 - (-5)^2 = 3 - 25 = -22
Answer:
<em>It will take 12 hours to fill the tank</em>
Step-by-step explanation:
Proportions
Tap A fills a tank in 4 hours. It means each hour it fills 1/4 of the tank.
Tap B fills the tank in 3 hours. Each hour it fills 1/3 of the tank.
Tap C empties the tank when full in 2 hours. Each hour it empties 1/2 of the tank.
Each hour, the tank gets filled by:
![\displaystyle \frac{1}{4}+\frac{1}{3}-\frac{1}{2}=\displaystyle \frac{3}{12}+\frac{4}{12}-\frac{6}{12}=\frac{3+4-6}{12}=\frac{1}{12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D%3D%5Cdisplaystyle%20%5Cfrac%7B3%7D%7B12%7D%2B%5Cfrac%7B4%7D%7B12%7D-%5Cfrac%7B6%7D%7B12%7D%3D%5Cfrac%7B3%2B4-6%7D%7B12%7D%3D%5Cfrac%7B1%7D%7B12%7D)
Since the tank fills 1/12 of its capacity in one hour, it follows that it will take 12 hours to fill the tank
Answer:
Do you mean:
(1+(2/3))j = 15
((3/3)+(2/3))j = 15
((3+2)/3)j = 15
(5/3)j = 15
j = 15 / (5/3)
j = 15 * (3/5)
j = 9
Step-by-step explanation: