Step-by-step explanation:
Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is

Note that the equivalent width is practically insensitive to the number density of absorbing material.
Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.

Move the -3x to the right side

Divide both sides by -5

This should be your answer, let me know if you need any clarifications, thanks!
The car can travel 75 miles on 2 1/2 gal. of gas
set up a proportion. you have 60/100 and 27/x
now you do 27x100=2700 then divide that by 60
with a calculator you get 45
then you can check your answer by saying 60% of 45 and you get 27 Samuel has 45 toy cars in total
Answer:
Your answer will be x=11/2
Step-by-step explanation:
What you want to do first is
Subtract 1 from both sides
2x+1-1=12-1
Simplify
2x=11
Divide both sides by 2

Simplify
