The conversion factors are 42 gallons in a barrel
4 quarts = 1 gallon. I use unit analysis to get answers for questions like these.

All the units are in the numerator. There are 120 * 42* 4 = 20160 quarts in 120 barrels.
Answer:
L ≈ 1023.0562
Step-by-step explanation:
We are given;
x = t² - 2t
dx/dt = 2t - 2
Also, y = t^(5)
dy/dt = 5t⁴
The arc length formula is;
L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt
Where α and β are the boundary points. Thus, applying this to our question, we have;
L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt
L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt
L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt
Using online integral calculator, we have;
L ≈ 1023.0562
Answer:
K cool
Step-by-step explanation:
The length of the rectangle is n-3, ok, the width is 2
the area of a rectangle is just length * width

so, if you simplify either of those, you'd end up with 2n-6.
because same/same = 1, and 1 * anything, is just anything itself.