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stiv31 [10]
3 years ago
7

A signal can be formed by running different colored flags up a​ pole, one above the other. Find the number of different signals

consisting of 7 flags that can be made if 3 of the flags are​ white, 2 are​ red, and 2 are blue.
Mathematics
1 answer:
yan [13]3 years ago
3 0
Your question has been answered
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Which function has zeros at x = 10 and x = 2? A f(x) = x2 – 12x + 20 B f(x) = x2 – 20x + 12 C f(x) = 5x2 + 40x + 60 D f(x) = 5x2
kow [346]
You have to set it up as two problems then combined like terms then add them together 

8 0
2 years ago
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X/2.5=20 what does x equal?
sesenic [268]
This is a one-step equation. All you need to do is multiply the 2.5 over to the 20 to get x by itself. x=50 Hope this helps!
5 0
3 years ago
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What’s the approximate circumference of a circle with radius 10 feet?
Elis [28]

Answer: C≈62.83ft

Step-by-step explanation:

simply take your radius and times it by 2 and you get 20. then times twenty by pi.

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3 years ago
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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
Damon buys lumber worth $562. He gets a 20% contractors discount. The sales tax is 6%. His credit card gives him 2% off. How muc
Zanzabum

Answer:

$467.05

Step-by-step explanation:

By getting a discount of 20%, it means he pays 100-20=80% of the initial price

80% is same as 0.8

Price after discount will be

0.8*$562=$449.6

Taxation is then subjected to the discounted price. With tax rate of 6% which is equivalent to 0.06 then the total prive incurres will be 106% of the discounted price, same as 1.06

Final price inclusive of tax

1.06*$449.6=$476.576

Since his credit gives 2% discount of everytging then he only pays 98% of the price inclusive of tax

Payable amount

0.98*476.576=467.04448

Rounded off as $467.05

8 0
3 years ago
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