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Artist 52 [7]
3 years ago
6

Jake had $4382 each month from his dad for 36 months how much money did Jake receive in those 36 months

Mathematics
2 answers:
Aloiza [94]3 years ago
8 0
$157,752 
$4382 times 36 = $157,752
sashaice [31]3 years ago
3 0
The answer is 157752
hope this helps
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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
What does ECONOMY MEAN PLZ TELL ME
ratelena [41]
<span>The wealth and resources of a country or region, especially in terms of the production and consumption of goods and services.

OR

</span><span>Careful management of available resources.</span>
6 0
3 years ago
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I have a right angle showing 1/6 how do I figure out what the rest of it equates to
alexgriva [62]
I would think of it as this but i could be wrong.
A right angle is 90 degrees and if you put 1/6 into a decimal it would be 6.
90-6<span>=84 
so 84 degrees is missing of the right angle.</span>
7 0
3 years ago
Read 2 more answers
I don't know how to simplify
In-s [12.5K]
(5-2/x)/4-3/x^2

after simplifying these
(5x-2)/x(4x^2-3)/x^2
x(5x-2)/(4x^2-3)
5x^2-2x/4x^2-3

now u can solve it


6 0
3 years ago
I have 30 photos to post on my website. I'm planning to post these on two web pages, one marked "Friends" and the other marked "
Sergio039 [100]

Answer:a) 870

b) 435

Step-by-step explanation:

a)

number of photos to be posted =n = 30

number of web pages on which they would be posted is 2

Since the order in which the photos appear on the web pages matters,

Number of ways = 30 permutation 2

=870 ways

b)

Since the order in which the photos appear on the web pages does not matter,

Number of ways = 30 combination 2

= 435 ways

6 0
3 years ago
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