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Pavlova-9 [17]
3 years ago
11

Mega has 3 weter botels and wants to give each of her friends 4 how many will she need

Mathematics
2 answers:
nydimaria [60]3 years ago
8 0

Answer:

12

Step-by-step explanation:

3 times 4 is 12

Nana76 [90]3 years ago
6 0
You need to run to the store you realize u don’t have money u run to ur house get your money run back to the store get the water run back to house to get phone run back to friends and there
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Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

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Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

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2 years ago
FI=6<br> IH=12<br><br> calculate the length of GI
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\\ \sf\longmapsto GI^2=6(12)

\\ \sf\longmapsto GI^2=72

\\ \sf\longmapsto GI=\sqrt{72}

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Step-by-step explanation:

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