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Natalka [10]
2 years ago
7

What is the quotient of 13 divided by 8

Mathematics
1 answer:
Masteriza [31]2 years ago
8 0
1.625 or/and 13/8 should be your answer
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Evaluate the surface integral. s x ds, s is the part of the plane 18x + 9y + z = 18 that lies in the first octant.
IceJOKER [234]
In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.

(x,0,0)\implies 18x+9\cdot0+0=18\implies x=1
(0,y,0)\implies 18\cdot0+9y+0=18\implies y=2
(0,0,z)\implies 18\cdot0+9\cdot0+z=18\implies z=18

Now that we know the vertices of the surface \mathcal S, we can parameterize it by

\mathbf s(u,v)=\langle(1-u)(1-v),2u(1-v),18v\rangle

where 0\le u\le1 and 0\le v\le1. The surface element is

\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=2\sqrt{406}(1-v)\,\mathrm du\,\mathrm dv

With respect to our parameterization, we have x(u,v)=(1-u)(1-v), so the surface integral is

\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{406}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-u)(1-v)^2\,\mathrm dv\,\mathrm du=\frac{\sqrt{406}}3
5 0
3 years ago
Write an equation for the line through (4,-1) and (6,9).<br>​
artcher [175]

Answer:

y = 5x - 21

Hope this helps!

3 0
3 years ago
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marathon runner runs26.2 miles at the pace of 6.2 minute per mile round off answer to the nearest minute how long will it take t
Scorpion4ik [409]
There are several methods of rounding, but in this case the 'best' one is probably to round up. Rounding down suggests that Kathy actually ran faster. 

<span>26.2 (mile) * 6.2 (minutes/mile) = 162.44 rounded up => 163 minutes.</span>
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Answer:

250 × blank = blank + 1,500

4 0
3 years ago
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What is the probability that the spinner will land on a multiple of 3 and 4?
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Your either is D. 3/8 because 12 24 and 36 are multiples for both. :>
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3 years ago
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