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Arte-miy333 [17]
3 years ago
15

Five miles Equals to how many feet

Mathematics
2 answers:
Luba_88 [7]3 years ago
6 0
5 miles is 26400 feet.
jekas [21]3 years ago
6 0
1 mile = 5280 feet

5280 times 5 = 26400

There are 26,400 feet in five miles.
Five miles equals 26,400 feet.
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Heather hits a tennis ball upward with an initial speed of 32 feet per second. After how many seconds does the ball hit the grou
Mrrafil [7]
set h=0 and solve for <span>t

</span>So: 0 = 32t - 16^2

<span>32t−16<span>t2</span>=0</span><span>16t(2−t)=0</span><span><span>t=2


</span></span>
3 0
3 years ago
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A sugar molecule with 45 atoms has twice as many atoms of hydrogen as
arsen [322]
C
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3 years ago
Evaluate the surface integral:S
rjkz [21]
Assuming S does not include the plane z=0, we can parameterize the region in spherical coordinates using

\mathbf r(u,v)=\left\langle3\cos u\sin v,3\sin u\sin v,3\cos v\right\rangle

where 0\le u\le2\pi and 0\le v\le\dfrac\pi/2. We then have

x^2+y^2=9\cos^2u\sin^2v+9\sin^2u\sin^2v=9\sin^2v
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Then the surface integral is equivalent to

\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du

We have

\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle
\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle3\cos u\cos v,3\sin u\cos v,-3\sin v\rangle
\implies\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle-9\cos u\sin^2v,-9\sin u\sin^2v,-9\cos v\sin v\rangle
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So the surface integral is equivalent to

\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du
=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv
=\displaystyle486\pi\int_{w=0}^{w=1}w^3\,\mathrm dw

where w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv.

=\dfrac{243}2\pi w^4\bigg|_{w=0}^{w=1}
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4 0
3 years ago
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kirza4 [7]

Answer: a) The probability is approximately = 0.5793

b) The probability is approximately=0.8810

Step-by-step explanation:

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z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

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z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{35}}}\approx1.18

The p-value = P(z

= 0.8809999\approx0.8810

Thus , the probability is approximately=0.8810.

6 0
3 years ago
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I think its 0.36 and 36%
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