Step-by-step explanation:
You start by asking yourself or as I call it crossmultiply
if 20 min the bucket is 1/8 full what about 8/8 or a whole
<u>2</u><u>0</u><u>×</u><u>8</u><u>/</u><u>8</u><u>×</u><u>1</u><u>/</u><u>8</u>
=160 min or 2.6 hrs
Answer:
C: (1, 2.5)
Step-by-step explanation:
The point is not exactly on 2 or 3 on the y axis. So it is at 2.5. and when you read a graph you need to look at it from x to y so it should be C: (1, 2.5).
Answer:
The expression that represents the number of deer in the forest is
y(x) = 50*(1.013)^x
Step-by-step explanation:
Assuming that the number of deer is "y" and the number of months is "x", then after the first month the number of deer is:
y(1) = 50*(1+ 0.15/12) = 50*(1.0125) = 50.625
y(2) = y(1)*(1.0125) = y(0)*(1.0125)² =51.258
y(3) = y(2)*(1.0125) = y(0)*(1.0125)³ = 51.898
This keeps going as the time goes on, so we can model this growth with the equation:
y(x) = 50*(1 - 0.15/12)^(x)
y(x) = 50*(1.013)^x
By taking a common factor, we will see that the equivalent expression is:
![12*\sqrt[3]{6c}](https://tex.z-dn.net/?f=12%2A%5Csqrt%5B3%5D%7B6c%7D)
<h3>
How to find the equivalent expression?</h3>
Here we start with the expression:
![5*\sqrt[3]{6c} + 7*\sqrt[3]{6c}](https://tex.z-dn.net/?f=5%2A%5Csqrt%5B3%5D%7B6c%7D%20%2B%207%2A%5Csqrt%5B3%5D%7B6c%7D)
Notice that if we define:
![\sqrt[3]{6c} = u](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B6c%7D%20%3D%20u)
We can rewrite our expression as:

Now we can take the common factor u to write:

Now if we replace u y the cubic root, we will get:
![12*\sqrt[3]{6c}](https://tex.z-dn.net/?f=12%2A%5Csqrt%5B3%5D%7B6c%7D)
So the correct option is the third one.
If you want to learn more about expressions:
brainly.com/question/2972832
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