Answer:
So the final answer is

Step-by-step explanation:
Radicals:
In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.
The given expression is

Now take common radical out so we will get

Now add the Parenthesis part.

So the final answer is

Step-by-step explanation:
1 mole of any substance = 6.022 * 10²³ molecules.
Number of moles of CO2
= (4.5 * 10¹⁶)/(6.022 * 10²³)
= 0.75 * 10^(-7)
= 7.5 * 10^(-8) mol.
Answer: 138
Step-by-step explanation:
2x + -11 = k
Reorder the terms:
-11 + 2x = k
Solving
-11 + 2x = k
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 2x = 11 + k
Combine like terms: -11 + 11 = 0
0 + 2x = 11 + k
2x = 11 + k
Divide each side by '2'.
x = 5.5 + 0.5k
Simplifying
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

Since we want to determine the 76th term, we are going
to substitute 76 in for <em>n</em> in our explicit formula.
Then,
will be our first term in our sequence which is 17.
Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have
.
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have
.
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have
.
Now just add to find that
.
So the 76th term is 167.