Answer:

Step-by-step explanation:
You are given the relation 
This means that

The input values of this relation are
, so the domain of this relation is 
The output values of this relation are
, so the range of this relation is 
11:32 pm + 5 hours= 4:32pm
4:32 pm + 45 minutes = 5:17 pm
3/4 hour = 45 min
The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the above formula, we can find the slope of the line:
m = (49-14)/(35-10)
m = 35/25
m = 7/5
The equation will be:
y = 7x/5 + c
here c is the y-intercept
Plug (10, 14) in the equation to find the value of c
14 = 7(10)/5 + c
c = 0
y = 7x/5 or
5y - 7x = 0
Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
Learn more about the slope here:
brainly.com/question/3605446
#SPJ1
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:
In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.
For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Hope this helps!
Answer:
4pi
Step-by-step explanation:
Circle circumference = 2*pi*r
2*pi*2
4*pi