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dlinn [17]
2 years ago
12

He two square roots of the number. 64

Mathematics
2 answers:
serious [3.7K]2 years ago
8 0

Answer:

The square root of 64 is 8

Step by step explanation:

8 x 8 = 64

tankabanditka [31]2 years ago
4 0

Answer:

The square route of 64 is 8.

8x8=64

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sergey [27]
Your equation would be 2x - 12 + 3x - 15 = 23
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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
nataly862011 [7]

Let (<em>x</em>, <em>y</em>, <em>z</em>) be a point on the plane in the first octant. The box formed by this point has volume <em>xyz</em>, and you want to maximize this subject to the equation of the plane.

Use the method of Lagrange multipliers: the Lagrangian is

<em>L</em>(<em>x</em>, <em>y</em>, <em>z</em>) = <em>xyz</em> - <em>λ</em> (<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6)

Find its critical points:

∂<em>L</em>/∂<em>x</em> = <em>yz</em> - <em>λ</em> = 0

∂<em>L</em>/∂<em>y</em> = <em>xz</em> - 2<em>λ</em> = 0

∂<em>L</em>/∂<em>z</em> = <em>xy</em> - 3<em>λ</em> = 0

∂<em>L</em>/∂<em>λ</em> = -(<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6) = 0

Solving the first three equations for <em>λ</em> gives

<em>λ</em> = <em>yz</em> = <em>xz</em>/2 = <em>xy</em>/3

Solve these equations for <em>y</em> and <em>z</em> :

• <em>yz</em> = <em>xz</em>/2   =>   <em>y</em> = <em>x</em>/2   =>   2<em>y</em> = <em>x</em>

• <em>yz</em> = <em>xy</em>/3   =>   <em>z</em> = <em>x</em>/3   =>   3<em>z</em> = <em>x</em>

Substitute these solutions into the last equation and solve for <em>x</em>, then again for <em>y</em> and <em>z</em> :

<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6 = 3<em>x</em> - 6 = 0   =>   3<em>x</em> = 6   =>   <em>x</em> = 2, <em>y</em> = 1, <em>z</em> = 2/3

At this critical point, the maximum volume is

<em>xyz</em> = 2*1*2/3 = 4/3

4 0
3 years ago
Select the correct answer
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Answer:

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Step-by-step explanation:

Select the correct answer

What is the 10th term of the geometric sequence 3,6, 12, 24,48 ...?

A. 512

B. 3,072

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The length of a postage stamp is
AleksAgata [21]
<h3>Answer: Choice B</h3><h3>2W+2( W+4 1/4) = 124 1/2</h3>

=========================================

Explanation:

L = length

W = width

"The length is 4 1/4 longer than the width" (paraphrase) so

L = W + 4 1/4

This means,

P = perimeter = 124 1/2

P = 2L+2W

2L+2W = P

2W+2L = P

2W+2( L ) = P

2W+2( W+4 1/4) = 124 1/2

5 0
3 years ago
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