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
Complete Question
If a logo has dimensions of 6 ft and 11ft, he needs a quart of paint for every 22 square ft. How many quarts will he need for the whole logo?
Answer:
3 quarts of paint
Step-by-step explanation:
The Logo is rectangular in shape, hence:
The area of a rectangle = Length × Width
The logo has dimensions of 6 ft and 11ft.
Area of the Logo = 6ft × 11ft = 66ft²
He needs a quart of paint for every 22 square ft
Hence:
22 ft² = 1 quart of paint
66ft² = x
Cross Multiply
22 ft² × x = 66 ft² × 1 quart
x = 66 ft² × 1 quart/22 ft²
x = 3 quarts of paint
Therefore, he will need 3 quarts of paint for the whole logo.
Answer:
about 10
Step-by-step explanation:
62.8 = 2 pi r/2
62.8/2 = pi r
31.4/pi = pi r/pi
about 10 = r
A.
Because the negatives cancel each other out to make a positive
