4.35 divided by 5? does anyone know??????

Mathematics

1 answer:

Dvinal [7]3 years ago

5 0

.87 is correct you can always check your work with an online calculator. :)

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Use the divergence theorem to calculate the surface integral ??s f · ds; that is, calculate the flux of f across s. f(x,y,z = x2

Ymorist [56]

By the divergence theorem, the surface integral given by

$\displaystyle\iint_{\partial S}\mathbf F\cdot\mathbf n\,\mathrm dS$

(where the integral is computed over the entire boundary of the surface) is equivalent to the triple integral

$\displaystyle\iiint_R\nabla\cdot\mathbf F\,\mathrm dV$

where $V$ is the volume of the region $R$ bounded by $\partial S$ .

You have

$\mathbf F(x,y,z)=x^2y\,\mathbf i+xy^2\,\mathbf j+4xyz\,\mathbf k$
$\implies \nabla\cdot\mathbf F=\dfrac{\partial}{\partial x}[x^2y]+\dfrac{\partial}{\partial y}[xy^2]+\dfrac{\partial}{\partial z}[4xyz]=8xy$

and so the integral reduces to

$\displaystyle8\int_{x=0}^{x=5}\int_{y=0}^{y=1}\int_{z=0}^{z=5-x-5y}xy\,\mathrm dz\,\mathrm dy\,\mathrm dx=-\dfrac{250}3$

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4 years ago

What is the mass of aluminum?

garik1379 [7]

Answer:

The mass of aluminum is 26.982 g/mol.

Step-by-step explanation:

The molar mass of an element is the mass in grams of 1 mole of the element. It is determined by taking the atomic weight of the element on the periodic table, and writing it as g/mol.

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3 years ago

A grocery store sells apple and oranges by the pound the cost of the apples is $1.30 the cost of the oranges is $1.84 how much m

Feliz [49]

Answer:

1.5 pounds of oranges cost $0.81 more than 1.5 pounds of apples

Step-by-step explanation:

1.5 pounds of apples = 1.5 × $1.30 = $1.95

1.5 pounds oforanges = 1.5 × $1.84 = $2.76

$2.76 - $1.95 = $0.81

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3 years ago