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Kobotan [32]
1 year ago
6

A tank is full of water. Find the work required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3

Mathematics
1 answer:
Delvig [45]1 year ago
4 0

The work required to pump the water out of the spout is 5000ft⋅lb

Given

The volume V=12(4ft)(5ft)(6ft)=60ft3,

Then the weight is w = γV = (62.5lb /ft³) (60ft³) = 3750lb.

Since work is force × distance, you need a distance here, and the appropriate one is the distance you must raise the center of mass to get the H2O out of the spout.

Since the center of mass of a uniform triangular area is 13 of the way from any side, the distance is (4ft)/3 so the work is (3750lb) (4ft)/3=5000 ft-lb.

In calculus, the area of a horizontal section yft from the lowest point is (5ft) × (6ft) × y / (4ft) = 7.5y ft2.

We have to lift that slice 4ft−y, so work is

w = \int\limits^4_0 (62.5)(4 − y) (7.5y)

dy = (62.5)[15y2−2.5y3]40  = 5000ft⋅lb

The work required to pump the water out of the spout is  5000ft-lb

Learn more about calculus here: brainly.com/question/24430269

#SPJ4

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Given the two points what is the slope of the line?<br> (4,2) (10.4)
zlopas [31]

m = \frac{y2-y1}{x2-x1}\\ m=\frac{4-2}{10-4} \\m = \frac{2}{6} \\\\m=\frac{1}{3}

Therefore, the slope of the line is 1/3. In case if you want the equation too.

y=mx+b\\y=\frac{1}{3}x+b\\ 2=\frac{1}{3}(4)+b\\ 2=\frac{4}{3}+b\\ b=-\frac{4}{3}+2\\ b=-\frac{4}{3} +\frac{6}{3}\\ b=\frac{2}{3}

Therefore, the equation is y=1/3x+2/3

6 0
3 years ago
Please answer quickly!!!!! Will give the brainiest There is a pic attached.
Alexeev081 [22]

Answer:

A. 2/3

Step-by-step explanation:

There are 12 tiles in total, and 8 tiles with numbers that are greater than 4.

Express this as a fraction:

8/12

Simplify:

2/3  

Hope this helps

5 0
3 years ago
kirby wants to run a total of 7 5/8 miles every tuesday and thursday. if he runs 4 4/16 miles on tuesday and 3 3/8 miles every t
mylen [45]

Answer: yes


Step-by-step explanation:

4 4/16 + 3 3/8=4 2/8 + 3 3/8=7 5/8

8 0
3 years ago
In the game of Keno, a player starts by selecting 20 numbers from the numbers 1 to 80. After the player makes his selections, 20
DiKsa [7]

The percentage of winning if 20 winning numbers are randomly selected from numbers 1 to 80 is 12.48%.

Given There are 80 numbers from which 20 numbers are selected randomly in a game of Keno by player and after selection of 20 winning numbers again 20 numbers are selected and player wins if the player has correctly selected 3,4,or 5 of the 20 winning numbers.

Probability is the chance of happening an event among all the events possible.

Probability of winning is calculated as under:

Probability=C(20,3)C(60,17)/C(80,20)

We have taken C(20,3) because player will win if 5 numbers are selected from 20 winning numbers.

We have taken C(60,17) because after selection of 20 numbers 60 numbers will left from 80 and after winning from 3 numbers 17  numbers left and from total 80, 20 numbers are taken.

=C(20,3)C(60,17)/C(80,20)

=(20!/3!17!  * 60!/17!43!)/80!/20!60!

=1140*387221678682300/35353161422121743200

=12.48%

Hence the probability of winning is 12.48%.

Learn more about probability at brainly.com/question/24756209

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5 0
1 year ago
What is the median of this data set?
bazaltina [42]

Answer:

14

Step-by-step explanation:

Because the median is the middle number when the data set is in order least to greatest so you already have it in least to greatest so thank you for helping me.

and for extra just in case.

Mean=16.222

the mean= the average of the data set

Mode is 13,14

The mode is the number that appears the most in a data set and 13 and 14 appear twice.

Your range is=13

Range is the highest number subtracting the lowest number so 24 -11 which =13

Minimum is 11 because the minimum is the lowest number in data set..

Maximum is 24

Maximum is the highest number in the data set.


I hope this helps have a awesome day:)

7 0
2 years ago
Read 2 more answers
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