Question 1111244: The average discharge at the mouth of the Amazon River is 4,400,000 cubic feet per second. How much water is discharged from the Amazon River in one hour? in one year?
How much water is discharged from the Amazon River in one hour?
___ft^3
(Round to the nearest thousandth as needed. Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Example of how the answer should look: There are 1.072×10^14 cubic feet of water discharged from the mouth of the Amazon River in a year.
Side note: Would really like it if someone can give me the answer.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if you assume 365 days in a year, then you can get the amount for the year.
hopefully that's what you were told to assume.
you are given that the amazon discharges 4,400,000 cubic feet per second.
4,400,000 cubic feet per second is equal to 4.4 * 10^6 cubic feet per second in scientific notation.
there are 60 seconds in a minute, therefore 4.4 * 10^6 * 60 = 264 * 10^6 cubic feet per minute.
264 * 10^6 is equal to 2.64 * 10^8 cubic feet every minute in scientific notation.
there are 60 minutes in an hour, therefore 2.64 * 10^8 * 60 = 158.4 * 10^8 cubic feet per hour.
158.4 * 10^8 is equal to 1.584 * 10^10 cubic feet per hour in scientific notation.
there are 24 hours in a day, therefore 1.584 * 10^10 * 24 = 38.016 * 10^10 cubic feet per day.
38.016 * 10^10 is equal to 3.8016 * 10^11 cubic feet per day in scientific notation.
there are 365 days in a year, therefore 3.8016 * 10^11 * 365 = 1387.584 * 10^11 cubic feet per year.
1387.584 * 10^11 is equal to 1.387584 * 10^14 cubic feet per year in scientific notation.
that's your solution, assuming 365 days in a year.
you could also have solved without using scientific notation and then converted to scientific notation at the end.
if your number is large enough, the calculator will convert to scientific notation for you, as long as it is capable of doing so.
you are given 4,400,000 cubic feet per second.
times that by 60 to get per minute and then by 60 to get per hour and then by 24 to get per day and then by 365 to get per year.
you would get 4,400,000 * 60 * 60 * 24 * 365 = 1.387584 *10^14.
the answer is the same as i got above.
the calculator automatically converted to scientific notation because of the enormous size of the number.
you could also have started in scientific notation and then worked up from there.
4,400,000 is equal to 4.4 * 10^6 in scientific notation.
4.4 * 10^6 * 60 is equal to 264 * 10^6.
264 * 10^6 * 60 = 15840 * 10^6
15840 * 10^6 * 24 = 380160 * 10^6
380160 * 10^6 = 138758400 * 10^6
convert this number to scientific notation and you get 1.38758400 * 10^8 * 10^6 which is equal to 1.387584 * 10^14.
here's a reference on scientific notation you might find helpful.
https://www.mathsisfun.com/numbers/scientific-notation.html
here's another.
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut3_scinot.htm
here's another.
https://www.chem.tamu.edu/class/fyp/mathrev/mr-scnot.html
|
|
|
