Both the numerator and denominator are divisible by 4, meaning that when they are both divided by this number they wll be in their simplest form.
e.g. 8/4=2 and 20/4=5
Therefore the simplest form is 2/5
Answer:
x = 33
<C = 81
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+ 2x+ 2x+15 = 180
Combine like terms
5x+15 = 180
Subtract 15 from each side
5x +15-15 =180-15
5x = 165
Divide by 5
5x/5 =165/5
x = 33
<C = 2x+15 = 2(33)+15 = 66+15 = 81
You know that

so

.
Area of a shaded region is:
![$A=\int\limits_0^k\dfrac{y^2}{4}\,dy=\frac{1}{4}\int\limits_0^ky^2\,dy=\frac{1}{4}\left[\frac{y^3}{3}\right]_0^k=\frac{1}{4}\left[\frac{k^3}{3}-\frac{0^3}{3}\right]=\frac{1}{4}\cdot\dfrac{k^3}{3}=\boxed{\frac{k^3}{12}}](https://tex.z-dn.net/?f=%24A%3D%5Cint%5Climits_0%5Ek%5Cdfrac%7By%5E2%7D%7B4%7D%5C%2Cdy%3D%5Cfrac%7B1%7D%7B4%7D%5Cint%5Climits_0%5Eky%5E2%5C%2Cdy%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%5B%5Cfrac%7By%5E3%7D%7B3%7D%5Cright%5D_0%5Ek%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%5B%5Cfrac%7Bk%5E3%7D%7B3%7D-%5Cfrac%7B0%5E3%7D%7B3%7D%5Cright%5D%3D%5Cfrac%7B1%7D%7B4%7D%5Ccdot%5Cdfrac%7Bk%5E3%7D%7B3%7D%3D%5Cboxed%7B%5Cfrac%7Bk%5E3%7D%7B12%7D%7D%20)
so k:
<h2>
Hello!</h2>
The answer is:
The range of the given function, f(c) is

<h2>
Why?</h2>
To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.

We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.

Also, we know that there are not more than 5000 cars transported by the ferryboat, so, let's make this value our input, in order to find the output (range) of the given function.
So, if

Evaluating, we have:

Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.

Have a nice day!
Answer:
C
Step-by-step explanation:
at least i think so