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4 years ago

What is the sum of 3/x=9/16

Mathematics

1 answer:

Studentka2010 [4]4 years ago

7 0

Multiply 3 by both sides answer x=27/16 or in decimal 1.6875

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Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of ac

Margaret [11]

Answer:

c=45a

Step-by-step explanation:

for the first one it shows 45x1=45. second shows 45x2=90. thats the patter.

3 0

3 years ago

A set of cards is numbered 1-12 if I were to pick a random card what is the probability I pick 1,3 or 11

omeli [17]

Answer:

0.25, or 25%

Step-by-step explanation:

3/12

7 0

3 years ago

Which questions have an answer of -5?

Rudiy27

Answer:

A - y= 7/5 + -7/5

B- y=-5x+4

C- I cant see the other number

D- y= -5x-3

E- y=3x+15

F- y=-5x-4

Step-by-step explanation:

I think its B,D,F

sorry If its wrong!

6 0

3 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

4 years ago

How to get the answer

Mila [183]

Answer:

have you tried cross multipling

Step-by-step explanation:

3 0

3 years ago