8n+16
the four odd numbers are 2n+1, 2n+3, 2n+5, 2n+7
2n+1+2n+3+2n+5+2n+7=8n+16
Answer: The rational expression that is needed is z^5/8.
In the problem, we are starting with 4z^5/7 and multiply by something. Then, we have z^10/14.
First, let's deal with the variables. We go from z^5 to z^10, so we had to multiply by z^5.
Second, our fraction went from 4/7 to 1/14, the missing factor would be 1/8 because 4/7 times 1/8 equals 1/14.
3.122
The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.
Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK
This means MLJ = 31 degrees since they add up to 61 degrees.
Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.
3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL =

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.
Tan(angle) = opp/adj
Tan(31) = MJ/


Tan(31) = MJ
3.122 = MJ
Answer:
Any number other than 2
Step-by-step explanation:
Well if we plug in any number other than 2 like 1 for the blank and distribute,
the right side becomes,
3x + 6 = 3x + a number other than 6
Parallel lines have the same slope but different y intercept.
Look at the image below ↓
<em>Thus,</em>
<em>to make the equation have no solution the blank has to be any number other than 2.</em>
<em />
<em>Hope this helps :)</em>
Answer:
The limit is 
Step-by-step explanation:
The equation given are

and 
with 
The objective is to obtain

This mathematically evaluated as

