The volume of the pipe is about 282.6 cubic feet.
First, we need to find the area of each circular cross section and subtract them to find the width of the pipe. The area of a circle is pi(r^2).
pi(3^2) - pi(2^2)
28.26 - 12.56 = 15.7
The width of the pipe is 15.7. Now, multiply that by 18 to find the volume.
15.7 x 18 = 282.6
To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
C. I, II, and III
I’m sure it’s the answer not positive though, I’m sorry.
Try plugging in 4,6, and -7 into the x's
No this data set is not a function because two points have x coordinates of 4
Hope this helps
