Answer:
60+2x≥300
Step-by-step explanation:
So we know that she makes a base of $60 a week and gets $2 extra for every item she sells. First, we set up an equation for how many items she would have to sell to make exactly $300 in a week. 60+2x=300. Now, all we do is replace the equal sign with a ≥ sign because it says at least which means more than or equal to.
I assume the cone has equation 
(i.e. the upper half of the infinite cone given by 
). Take
The volume of the described region (call it 
) is
The limits on 
and 
should be obvious. The lower limit on 
is obtained by first determining the intersection of the cone and sphere lies in the cylinder 
. The distance between the central axis of the cone and this intersection is 1. The sphere has radius 
. Then satisfies
(I've added a picture to better demonstrate this)
Computing the integral is trivial. We have
Answer:
103.5
Step-by-step explanation:
13 + (43 ÷ 2) × 5 - 17
13 + 21.5 × 5 - 17
13 + 107.5 - 17
107.5 - 4
103.5
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
