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balu736 [363]
2 years ago
5

Which answer is correct?

Mathematics
1 answer:
luda_lava [24]2 years ago
4 0

Answer:

The choice 210

Step-by-step explanation:

3{[3(9 - 2)] +[7(8 - 1)] }\\ 3[3(7) + 7(7)] \\ 3[21 + 49] \\ 3[70] \\  = 210

I hope I helped you^_^

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Find the value of :[5x+y+z][5x+y+z][5x+y+z]
KIM [24]

Answer:

Step-by-step explanation:

(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc

a = 5a  ;  b =y   ; c = z

(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³

= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z

= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

6 0
2 years ago
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
2 years ago
A quadrilateral is a parallelogram only if both pairs of opposite sides are equal.
monitta

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with 4 sides and both pairs of opposite sides are equal.

6 0
3 years ago
Read 2 more answers
3/8 simplified⁉️<br> 14/21 simplified⁉️<br> 9/15 simplified ⁉️
ioda
14/21 is 2/3 simplified.
9/15 is 3/5 simplified.
and 3/8 can not be simplified, so it's 3/8
7 0
3 years ago
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Find the volume of each figure. tell whether each statement is true or false.
ivolga24 [154]

Answer:

true

Step-by-step explanation:

true

5 0
3 years ago
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