Radicals are simplified because they take precedence. They take precedence just like exponents, which radicals can be written as exponents. For example
![\sqrt[3]{27} = 27^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%20%3D%2027%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Also, to add and subtract them you need to have both terms the same so that is another reason why we simplify first. If you did not simplify, the answer would not be the same and come out wrong. For instance


Now if you try and add without like terms(radicals) the answer would be incorrect.
Answer:
Carrie's slope value is correct.
Step-by-step explanation:
The least square regression line is: 
Here
is the slope of the line.
The formula to compute the slope is:

Here
= standard deviation of <em>x</em> and
= standard deviation of <em>y</em>.
It is provided that the standard deviation of <em>x</em> and <em>y</em> are equal.
So the slope of the regression line is:

Thus, if the standard deviation of <em>x</em> and <em>y</em> are equal the slope of the line is same as the correlation coefficient.
The correlation coefficient is a measure used to determine the strength of the linear relationship between the variables.
It ranges from -1 to 1.
Carrie's slope value was 0.50 and Ryan's slope value was 2.
Since -1 ≤ r ≤ 1 the value of slope cannot be 2.
Thus, Ryan's slope value is incorrect.
The value of x to the nearest whole number is 68 degrees
<h3>Equations and expressions</h3>
Given the trigonometry function shown below:
y = 50 tan x
For the coordinate (x, 125)
If the value of y is 125, then;
125 = 50tanx
tanx = 125/50
tanx = 2.5
x = arctan(2.5)
x = 68.19
Hence the value of x to the nearest whole number is 68 degrees
Learn more on trig function here: brainly.com/question/1143565
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Answer:
8 inches cubed
Step-by-step explanation:
We get the formula in the task description:
V = s^3
The next sentence tells us s = 2in, so:
V = (2in)^3 = 8in^3