Procedure:
1) Integrate the function, from t =0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and
2) Substract the result from the initial content of the tank (1000 liters).
Hands on:
Integral of (6 - 6e^-0.13t) dt ]from t =0 to t = 60 min =
= 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t =0 to t = 60 min =
6*60 + 46.1538 e^(-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters
2) 1000 liters - 313.865 liters = 613.135 liters
Answer: 613.135 liters
Answer:
4/7
Step-by-step explanation:
5/7 x (1/5+3/5) = 5/7 x 4/5 = 4/7
Answer:
The answer is 98304
Step-by-step explanation:
Answer:
It takes 3.5 seconds for the ball to hit the ground
Step-by-step explanation:
By finding the x intercepts you can determine when the ball hits the ground.
the second x intercept is (3.5,0), which means the ball hits the ground at 3.5 seconds
To find the volume of a sphere, we can apply the following formula:
(4
/3)πr^3
We know the radius is 10, so we can plug that value in.
(4/3) * pi * 10^3
<h3>V = 4188.79020479in^3</h3>
The question says "exact" volume, so I've included all of the digits in the tenths and beyond place, without rounding.
