Expression equivalent to 
is ![(\sqrt[d]{3b})^2](https://tex.z-dn.net/?f=%28%5Csqrt%5Bd%5D%7B3b%7D%29%5E2)
Option D is correct.
Step-by-step explanation:
We need to find equivalent expression of:
Solving:
We know that ![\frac{1}{d}= \sqrt[d]{}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bd%7D%3D%20%5Csqrt%5Bd%5D%7B%7D)
So, the expression will become:
![=(\sqrt[d]{3b})^2](https://tex.z-dn.net/?f=%3D%28%5Csqrt%5Bd%5D%7B3b%7D%29%5E2)
So, expression equivalent to is
Option D is correct.
Keywords: Exponents
Learn more about Exponents at:
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Using a linear function, we have that:
a) The amount of water in the aquarium at 0 minutes is of 300 liters.
b) As time increases, the amount of water decreases at a rate of 60 liters per minute.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = ax + b
In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we have that the y-intercept is of 300, hence the amount of water in the aquarium at 0 minutes is of 300 liters.
The amount <u>decreases 60 liters in a minute,</u> hence:
As time increases, the amount of water decreases at a rate of 60 liters per minute.
More can be learned about linear functions at brainly.com/question/24808124
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According to the vertical angle rule we know that x is 40 degrees. The sum of all angles in a triangle make 180, so the sum of x, 60, and the third angle is 180. x is 40 so the third angle is 180-60-40 which is 80 degrees. y is an adjacent angle, which means that the sum of y and 80 degrees is 180. 180-80 is 100, so y is 100 degrees.
Answer:
D) 2/3
Step-by-step explanation:
Constant of proportionality formula:
k = y/x
8/12 = 2/3
10/15 = 2/3
12/18 = 2/3
14/21 = 2/3
