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:
feet/million year
Step-by-step explanation:
We are given that
Elevation of top of basalt in valley =4100 feet
Elevation of bottom of basalt in valley =2100 feet
Age of top of basalt in valley=15000 years
Age of bottom of basalt in valley=1.2 million years=
We have to find the rate of basalt filling in the valley in feet per million yeas
Rate of basalt filling in the valley=
Rate of basalt filling in the valley=
Rate of basalt filling in the valley=
feet/million year
I am assuming you meant y=sin(x) from 0 to 2pi? Remember that the maximum and minimum points on the sine graph will occur 1/4 and 3/4 through the cycle, or period and the zeros occur at the beginning, middle and end. So you want to find the distance 1/4 of the way to 2pi and 3/4 of the way to 2pi.
With this information, you can easily calculate your answer:)
Answer:
4x-20 is the same as x+x+x+x-20
Answer:
35=x+175
Step-by-step explanation:
So u make x stand alone and it will become x=175-35=140 positive crosses the equal to sign becomes negative then u continue
