Answer:
The quantity of water drain after x min is 50
Step-by-step explanation:
Given as :
Total capacity of rain barrel = 50 gallon
The rate of drain = 10 gallon per minutes
Let The quantity of water drain after x min = y
Now, according to question
The quantity of water drain after x min = Initial quantity of water × ![(1-\dfrac{\textrm rate}{100})^{\textrm time}](https://tex.z-dn.net/?f=%281-%5Cdfrac%7B%5Ctextrm%20rate%7D%7B100%7D%29%5E%7B%5Ctextrm%20time%7D)
I.e The quantity of water drain after x min = 50 gallon × ![(1-\dfrac{\textrm 10}{100})^{\textrm x}](https://tex.z-dn.net/?f=%281-%5Cdfrac%7B%5Ctextrm%2010%7D%7B100%7D%29%5E%7B%5Ctextrm%20x%7D)
or, The quantity of water drain after x min = 50 gallon × ![(0.9)^{x}](https://tex.z-dn.net/?f=%280.9%29%5E%7Bx%7D)
Hence the quantity of water drain after x min is 50
Answer
Answer:
79 degrees.
Step-by-step explanation:
It is just a rule of trigonometry that all the angles inside ANY triangle will add up to 180 degrees.
There's only 3 possible angles in a triangle, so if you know what the sum of 2 are, its easy to find the last one.
All you have to do is 180 - 101, which equals 79 degrees.
Hope this helped : )
Answer:
![\frac{40}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B40%7D%7B4%7D%20)
Step-by-step explanation:
The model shows that there are 40 tiles which were divided into 4 per group. This results into 10 groups. That is:
![\frac{40 tiles}{4} = 10 groups](https://tex.z-dn.net/?f=%20%5Cfrac%7B40%20tiles%7D%7B4%7D%20%3D%2010%20groups%20)
Therefore, the expression modeled by the arrangement of the tiles is ![\frac{40}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B40%7D%7B4%7D%20)
Here is the equation you should use.
2(x+7) = -36
The vertex is when x=0, so (0, 2) is the answer.