Answer:
The work done to pump all of the kerosene from the tank to an outlet is 
Step-by-step explanation:
The work is defined by:
(1)
The force here will be the product between the volume and the kerosene weighing, so we have :
This force will be in-lbs.
Where R is the radius (3 feet)
Then using (1), we have:
Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.
Therefore, the work done to pump all of the kerosene from the tank to an outlet is
I hope it helps you!
Answer:
Step-by-step explanation:
a² - b² = (a +b)(a - b)
9x² - 4 = (3x)² - 2²
= (3x + 2 )(3x - 2)
Answer:
Susan is riding her bike. The distance she travels varies directly with the number of revolutions (turns) her wheels make. See the graph below.
23
20
Answer:
$18.63
Step-by-step explanation:
15% of 45 is equal to 45 times .15, which is equal to 6.75.
45+6.75 = 51.75
Ben resold the guitar for $51.75
36% of 51.75 is equal to 51.75*.36 or 18.63
Ben spent $18.63 on books
Answer:
<em>The probability that it is grape juice, given that the juice is not sugar free is </em><em>0.769 or 76.9%</em>
Step-by-step explanation:
A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.
Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.
Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,
Putting the values,
