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MakcuM [25]
2 years ago
11

The ladder to the top of the super slide is 9meters

Mathematics
1 answer:
Kazeer [188]2 years ago
8 0
That’s cool my brother
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The roots are x=0,4,-2
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You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
Lisa buys 3 pints of milk how many cups did Lisa buy?
AnnZ [28]

Answer:

3 pints = 6 cups

Step-by-step explanation:

Formula: multiply the volume value by 2

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What is the value of m in the equation 1/2m-3/4n when n = 8?
kirill [66]

Answer:

-\frac{1}{32}

Step-by-step explanation:

n = 8\\1/2(8) - 3/4(8) = 1/16-3/32

Multiply the numerator and denomiator of 1/16 by 2 so that the denominators are equal and we can subtract.

\frac{1}{16} *\frac{2}{2} =\frac{2}{32}

Then, subtract

\frac{2}{32} -\frac{3}{32} = \frac{2-3}{32} =- \frac{1}{32}

3 0
2 years ago
What percent of 260 is 78
Reptile [31]

If you are using a calculator, simply enter 78÷260×100 which will give you 30 as the answer.

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3 years ago
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