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Nonamiya [84]
3 years ago
10

Please help asap :)

Mathematics
1 answer:
Nat2105 [25]3 years ago
6 0

Your answer would be 2x^2=4x

also I have a question I need help with, would you mind?

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Find the missing segment
patriot [66]
Answer: x=49
Step by step explanation: to find one of the sides just subtract 35 from 60, then you get 35/25=x/35, which is 25x=1225, the last step is to divide both sides by 25 and you get the final result of 49
7 0
3 years ago
What is 40.15 divided by 7.3, written as a decimal?
Cloud [144]
The answer is 5.5.
hope this helps!!
5 0
3 years ago
Use Lagrange multipliers to find the dimensions of the box with volume 1728 cm3 that has minimal surface area. (Enter the dimens
Dima020 [189]

Answer:

(x,y,z) = (12,12,12) cm

Step-by-step explanation:

The box is assumed to be a closed box.

The surface area of a box of dimension x, y and z is given by

S = 2xy + 2xz + 2yz

We're to minimize this function subject to the constraint that

xyz = 1728

The constraint can be rewritten as

xyz - 1728 = 0

Using Lagrange multiplier, we then write the equation in Lagrange form

Lagrange function = Function - λ(constraint)

where λ = Lagrange factor, which can be a function of x, y and z

L(x,y,z) = 2xy + 2xz + 2yz - λ(xyz - 1728)

We then take the partial derivatives of the Lagrange function with respect to x, y, z and λ. Because these are turning points, each of the partial derivatives is equal to 0.

(∂L/∂x) = 2y + 2z - λyz = 0

λ = (2y + 2z)/yz = (2/z) + (2/y)

(∂L/∂y) = 2x + 2z - λxz = 0

λ = (2x + 2z)/xz = (2/z) + (2/x)

(∂L/∂z) = 2x + 2y - λxy = 0

λ = (2x + 2y)/xy = (2/y) + (2/x)

(∂L/∂λ) = xyz - 1728 = 0

We can then equate the values of λ from the first 3 partial derivatives and solve for the values of x, y and z

(2/z) + (2/y) = (2/z) + (2/x)

(2/y) = (2/x)

y = x

Also,

(2/z) + (2/x) = (2/y) + (2/x)

(2/z) = (2/y)

z = y

Hence, at the point where the box has minimal area,

x = y = z

Putting these into the constraint equation or the solution of the fourth partial derivative,

xyz - 1728 = 0

x³ = 1728

x = 12 cm

x = y = z = 12 cm.

7 0
3 years ago
G(x) = -2x-7<br> What is g(-3)?
lubasha [3.4K]
-3 =-2x - 7

Add 7 to both sides

4=-2x

Divide by -2

-2 = x
6 0
3 years ago
Read 2 more answers
How do you turn -8/9 into a decimal and percent?
monitta

You need to divide the numerator by the denominator so it should be 8 divided by 9 to turn it into a percent multiply the decimal you get by 100. Hope this helps!

8 0
3 years ago
Read 2 more answers
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