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3 years ago

How are multiplying partial products and regrouping similar?

2 answers:

8 0

Partial products is breaking down every number in multiplication and adding them. Regrouping is grouping numbers then adding them. They are alike because they both involve breaking down numbers and then adding them. They are different because Partial products is taking all the numbers broken down, while Regrouping is just a couple of the number.

aleksandrvk [35]3 years ago

5 0

Partial products and regrouping are similar because if you use both you will get the same answer

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What is the simplest form of ^3 square root 27a^3b^7

Irina-Kira [14]

$\bf \sqrt[3]{27a^3b^7}\quad 
\begin{cases}
27=3\cdot 3\cdot 3\\
\qquad 3^3\\
b^7=b^{3+3+1}\\
\qquad b^3b^3b^1\\
\qquad (b^2)^3b^1
\end{cases}\implies \sqrt[3]{3^3a^3(b^2)^3b^1}
\\\\\\
3ab^2\sqrt[3]{b^1}\implies 3ab^2\sqrt[3]{b}$

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4 years ago

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In a bag of trail mix, there are 5 cups of nuts for every 2 cups of chocolate candies. If there are 12 cups of nuts in a bag of

Katarina [22]

Answer:

Step-by-step explanation:

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3 years ago

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masya89 [10]

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3 years ago

Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinat

dimaraw [331]

I assume the given plane has equation

x + 3y + 4z = d

for some constant d ≠ 0.

You want to maximize the function V(x, y, z) = xyz subject to the above constraint. The Lagrangian would be

L(x, y, z, λ) = xyz - λ (x + 3y + 4z - d)

Find its critical points:

∂L/∂x = yz - λ = 0

∂L/∂y = xz - 3λ = 0

∂L/∂z = xy - 4λ = 0

∂L/∂λ = x + 3y + 4z - d = 0

The first three equations tell you that λ = yz = xz/3 = xy/4. Then, for instance,

yz = xz/3 → 3yz - xz = z (3y - x) = 0 → z = 0 or 3y - x = 0

If z = 0, we get zero volume which is not useful. So 3y = x. Similarly, you would find x = 4z and 3y = 4z, so a critical point occurs when x = 3y = 4z.

In the fourth equation, we get upon substituting

x + 3y + 4z = 3x = d → x = d/3, y = d/9, z = d/12

Then the largest volume of this box would be

V(d/3, d/9, d/12) = d ³ / 324

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3 years ago

mr stone paid $1750 for a new computer at the apple store, if the sales tax is 7.5% what is the final cost. I have 1881.25 must

valina [46]

Answer:

$1881.25

Step-by-step explanation:

Final cost of the computer

$= 1750 + 7.5\% \: of \: 1750 \\ \\ = 1750 + 0.075 \times 1750 \\ \\ = 1750 + 131.25 \\ \\ = \$ 1,881.25$

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3 years ago