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11 months ago

Draw the graph that will show the relationship between indoor plants sold and the profit.

Mathematics

1 answer:

xxMikexx [17]11 months ago

6 0

Answer:

Step-by-step explanation:

the graph is that also 02929393 i needed points

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The task is in the attachment, thank you

Novosadov [1.4K]

Answer:

m=0

Step-by-step explanation:

mx²+2x-1=0

if x=1/2 then

m(1/2)² +2(1/2)-1=0

m/4+1-1=0

m/4=0

m=0

4 0

3 years ago

A bullet travels at 850m/s. How long will it take a bullet to go 1km

gregori [183]

(1 km x 1,000m) ÷ 850 m/s = 1.18 s

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

3 years ago

What fraction is equivalent to four tenths and has a denominator of 100?

Sever21 [200]

Answer:

$\frac{40}{100}$

Step-by-step explanation:

You can multiply on the upper and bottom part by the same number without changing the fraction so $\frac{4}{10}=\frac{4\cdot 10}{10\cdot 10}=\frac{40}{100}$

6 0

2 years ago

7+3z-8-3z plz answer quick i have 10 points

Naddik [55]

-1+z because 7-8 would be -1 and positive 3-3 would just be the variable after

4 0

2 years ago