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
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The expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week
<h3>Dimensional Analysis</h3>
From the given question, we are told that Katrina drinks 0.5 gallons per day. In order to determine the total cup that she drank in a a week, we will have:
Total gallons in a week. = 0.5gallons/1 day * 7days/1
Total gallons in a week = 3.5 gallons
Since 1 gallon. = 16 cups, then;
3.5 gallons = 16cups/1gallon * 3.5gallons
3.5 gallons = 56 cups
Hence the expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week
Learn more on dimensional analysis here: brainly.com/question/18559676
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Answer:
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Answer:
2 1/12 days
Step-by-step explanation:
Time is the ratio of distance to speed.
(1200 mi)/(24 mi/h) × (1 day)/(24 h) = 25/12 day = 2 1/12 days