Answer:
285,753 cm³/min
Step-by-step explanation:
The rate of change of volume is the product of the water's surface area and its rate of change of depth.
At a depth of 2 m, the water has filled 1/3 of the 6 m depth of the tank. So, the radius at the water's surface will be 1/3 of the tank's radius of 2 m. The water's surface area is ...
A = πr² = π(2/3 m)² = 4π/9 m²
The rate of change of depth is 0.2 m/min, so the volume of water is increasing at the rate ...
dV/dt = (0.20 m/min)(4π/9 m²) = 8π/90 m³/min ≈ 279253 cm³/min
This change in volume is the difference between the rate at which water is being pumped in and the rate at which it is leaking out:
2.8×10⁵ cm³/min = (input rate) - 6500 cm³/min
Adding 6500 cm³/min to the equation, we get ...
input rate ≈ 285,753 cm³/min
Answer:
40
Step-by-step explanation:
80 divided by 2 is 40 and the formula is L times W times Height and the height is 2 so the base is 40 B times H
It's 40
X * 1.085 = 19.18
solve for x
Why is this how you figure it out? well... you have the price of the CD cover and the total is the price of the CD cover with tax.
Price of the CD cover would be: x * 1 = price of cd cover
Put that tax on there: x * 1.085 = price of cd cover with tax
why .085? move that decimal over two places to the left from the 8.5%
When put in a calculator, the answer is 12.22 (recurring)
Positive because a negative and a negative will always make a positive
