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aleksley [76]
3 years ago
15

What is -2 (7-4)+4=-4

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0
It equals to
-2=-4
So Then this would be false because the left hand and right hand sides are different
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A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.
Montano1993 [528]

Answer:

  x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

  ∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

  x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

  area = xy +2(xz +yz)

  volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

  L = xy +2(xz +yz) +λ(xyz -8788)

  partial with respect to x: 0 = y+2z +λyz

  partial with respect to y: 0 = x +2z +λxz

  partial with respect to z: 0 = 2x+2y +λxy

  partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

  λ = (y +2z)/(yz) = 1/z +2/y

  λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

  1/z +2/y = 1/z +2/x   ⇒   x = y

The third equation then tells us ...

  λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

  1/z +2y = 2/x +2/y   ⇒   z = x/2

This is the result we started the answer with:

  x = y = 2z = ∛(2·8788 cm³)

7 0
3 years ago
If using the method of completing the square to solve the quadratic
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Answer:

100

Step-by-step explanation:

20/2= 10 and 10 squared is 100 but you have to move the -6 to the opposite side

4 0
3 years ago
Please help! Picture below.
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Positive correlation as they go to bottom left to top right

6 0
3 years ago
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Holsen wants to know the theoretical and experimental probability of rolling a number larger than a 3 on a 6-sided number cube n
Novosadov [1.4K]

Answer:

I need more info to help you answer the question

Step-by-step explanation:

8 0
3 years ago
Help
pychu [463]
Use the following formula valid fo every polyhedron. 

v-e+f=2 
<span>
Search for Euler characteristic, or Euler-Poicare characteristic for more depth about this formula </span>

v= number of vertices 

e=number of edges 

f=number of faces 

<span>You get v=13

<span>I hope my answer has come to your help. Thank you for posting your question here in </span>Brainly<span>. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
</span>
3 0
3 years ago
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