Answer:
(a) 13536.10J
(b) 27072.20J
Step-by-step explanation:
(a) Height of tank (h) = 4 feet = 4/3.2808 = 1.22m
Volume of water in full tank = 4ft×5ft×4ft = 80ft^3
Volume of water in half tank = 1/2 × 80ft^3 = 40ft^3
Density of water = 62.4lb/ft^3
Mass of water = density × volume = 62.4 × 40 = 2496lb = 2496×0.45359kg = 1132.16kg
Work done to empty half of the tank = mgh = 1132.16×9.8×1.22 = 13536.10J
(b) Work done to empty all of the tank = 2 × work done to empty half of the tank= 2 × 13536.10J = 27072.20J
Solution :- Given differential equation

So the characteristic equation will be
![r^{2} -16=0 ⇒r^{2} =16 ⇒[tex]r_{1}=4 \\or \\ r_{2}=-4](https://tex.z-dn.net/?f=r%5E%7B2%7D%20-16%3D0%3C%2Fp%3E%20%3Cp%3E%E2%87%92r%5E%7B2%7D%20%3D16%3C%2Fp%3E%20%3Cp%3E%E2%87%92%5Btex%5Dr_%7B1%7D%3D4%20%20%20%5C%5Cor%20%5C%5C%20r_%7B2%7D%3D-4)
so, the required function will be

⇒
ia solution of the given differential equation
where
are constants.
Answer:
Step-by-step explanation:
( 4y - 9) - 7 = 4y (-9 - 7)
this is the associative property of addition
93a - 3b - 10a + 6 = (93a - 10a) + (-3b) + (6) = 83a - 3b + 6
Answer:
A. 1, 2, 3, 4
Step-by-step explanation:
I. When sample space means all possible case could happend.
In this case we have 4 equal sections numbered 1 to 4.
So from 1st section to 4th sections could happend fairly.
That makes 1, 2, 3, 4 is the right answer.
Hope that help :)