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raketka [301]
3 years ago
12

Which of the following are operations in the algebra of sets?

Mathematics
1 answer:
postnew [5]3 years ago
7 0

Answer:

Union and Intersection

Step-by-step explanation:

We know that the algebra of sets define the properties and laws of the sets.

The basic operations of sets are,

Union, Intersection, Complement of a set and Equality of sets.

Since, the operations addition, subtraction, multiplication and division are the basic arithmetic operations of numbers.

i.e. they are not in the algebra of sets.

So, we get that out of the given options, the operations in algebra of sets are Union and Intersection.

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A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po
Mariana [72]

Answer:

The work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

Step-by-step explanation:

The work is defined by:

W=\int dFdx (1)    

The force here will be the product between the volume and the kerosene weighing, so we have :

dF=\pi R^{2}dy*50

This force will be in-lbs.

Where R is the radius (3 feet)                    

Then using (1), we have:

W=\int \pi R^{2}dy*50(8-y)  

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.

W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)

W=450\pi \int_{0}^{8}dy(8-y)

W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)

W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})  

W=450\pi(8*8 -\frac{8^{2}}{2})

W=450\pi(64 -\frac{64}{2})

Therefore, the work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

I hope it helps you!  

6 0
3 years ago
Under the normal curve, approximately what percent of scores fall between and -1 to +1 standard deviations around the mean?
prohojiy [21]
According to the empirical rule, roughly 68% of the scores fall between z = -1 and z = 1 

You can use a calculator to get a more approximate answer. If you have a TI calculator, you can use the "normalcdf" function to type in normalcdf(-1,1)
3 0
3 years ago
A ship has a 15-foot-tall mast with a 37.13-foot-long rope that is strung from the top of the mast to the ship's deck. What is t
Alex Ar [27]

Answer:

Approximately 24 degrees

4 0
3 years ago
Find the value of x in the triangle shown below.<br> 1<br> 13<br> 2<br> 12<br> Choose 1 answers
DedPeter [7]

Answer:

x = 5

Step-by-step explanation:

a² + b² = c²

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

\sqrt{x^2} =\sqrt{25}

x = 5

3 0
3 years ago
Solve this step by step using the quadratic function <br> y=x^2 +x+2
Ne4ueva [31]

Answer:

x=<u>+</u>\frac{\sqrt{4y-7}-1 }{2}

Step-by-step explanation:

Quadratic function =( -b<u>+</u>\sqrt{b^2+4ac}  )/2a

x^2+x+2-y=0

x=-1<u>+</u>\sqrt{1^2-4(2-y)} /2

x=-1<u>+</u>\sqrt{4y-7} /2

x=<u>+</u> \frac{\sqrt{4y-7}-1 }{2}

Pretty sure this is right. Would appreciate a brainliest

3 0
3 years ago
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