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3 years ago

11

war 1 Luz has pound of cherries. She divides the 3 dag int cherries equally into 2 bags. What fraction of pound of cherries is i

n each bag?

1 answer:

irina [24]3 years ago

8 0

Step-by-step explanation:

is the number of unit squares that cover surface of a figure.

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The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9 feet

just olya [345]

Answer:

Door 2

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Annabelle is taking the Polar Express ALL the way to the North Pole! The Polar Express is 100 meters long and it takes 30 second

vlada-n [284]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To solve this, we will be doing a semi-alternate route, but it will get us to our answer...

400 / 100 = 4

30 / 4 = 7.5 seconds

60 * 60 * 7.5 = 27,000 meters per hour

<em></em><em>Lets plug it into our meters to miles formula...</em>

27,000 / 1,609.344 ~ 16.777 miles per hour

So...

The answer is: The Polar Express was going 27,000 meters per hour (or roughly close to 16.777 miles per hour)...

7 0

3 years ago

Determine the solution of the equation x2 = 36. Select each correct answer.

padilas [110]

Answer:

C. x=18 is the answer

Step-by-step explanation:

X2 = 36

x = 36÷2

x = 18

4 0

2 years ago

G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

3 years ago

It is an obtained solution to an equation which makes the original equation undefined.

Digiron [165]

Extraneous root since dividing by zero is undefined

8 0

2 years ago