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mote1985 [20]
3 years ago
14

[15 POINTS] I don’t get the 2nd question please help!

Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0

Answer:

14

Step-by-step explanation:

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The number of sheets of paper available for making notebook is 75,000. Each sheet makes 8 pages of a notebook. Each notebook con
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Answer:

3000 notebooks

Step-by-step explanation:

75000 sheets

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A piece of cardboard is 1 meter by 1/21/2 meter. A square is to be cut from each corner and the sides folded up to make an open-
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Answer:

The maximum dimensions of the box:

Length of the box  = 0.788676 m

Breadth of the box  = 0.288676 m

Step-by-step explanation:

Original piece of cardboard is a square with sides of length s.

Length of the card board = l = 1 m

Breadth of cardboard = b = 1/2 m = 0.5 m

Squares with sides of length x are cut out of each corner of a rectangular cardboard to form a box.

Now, length of the box = L = 1 - 2x

And breadth of the box = B = 0.5 - 2x

Height of the box ,H = x

Volume of the box ,V= L × B × H

\frac{dV}{dx}=\frac{(1 -2x)(0.5-2x)x}{dx}

\frac{dV}{dx}=\frac{d(0.5x-3x^2+4x^3)}{dx}

\frac{dV}{dx}=0.5-6x+12x^2

\frac{dV}{dx}=O

x = 0.394338  , 0.105662

\frac{d^2V}{(dx)^2}=-6+24x

When , x=0.105662 , \frac{d^2V}{(dx)^2} (maxima)

The maximum dimensions of the box:

Length of the box = L = 1 - 2x = 1 - 2(0.105662) m = 0.788676 m

Breadth of the box = B = 0.5 - 2x = 0.5 - 2(0.105662) m = 0.288676 m

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