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matrenka [14]
3 years ago
10

Ms.fox asked her class is the sum of 4.2 and the square root of 2 rational or irrational

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0
It is irrational. Otherwise sqrt(2) would be rational too which is not true.

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Below is the graph of y=bx. Find b.
san4es73 [151]

Answer:

part 1 is 0.5 and the second part is options 2 and 4

Step-by-step explanation:

6 0
3 years ago
Will give Brainliest if you answer all
oee [108]
What grade are you in so I know what level you are on to help
7 0
3 years ago
Evaluate c (y + 7 sin(x)) dx + (z2 + 9 cos(y)) dy + x3 dz where c is the curve r(t) = sin(t), cos(t), sin(2t) , 0 ≤ t ≤ 2π. (hin
saw5 [17]
Treat \mathcal C as the boundary of the region \mathcal S, where \mathcal S is the part of the surface z=2xy bounded by \mathcal C. We write

\displaystyle\int_{\mathcal C}(y+7\sin x)\,\mathrm dx+(z^2+9\cos y)\,\mathrm dy+x^3\,\mathrm dz=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r

with \mathbf f=(y+7\sin x,z^2+9\cos y,x^3).

By Stoke's theorem, the line integral is equivalent to the surface integral over \mathcal S of the curl of \mathbf f. We have


\nabla\times\mathbf f=(-2z,-3x^2,-1)

so the line integral is equivalent to

\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\mathrm d\mathbf S
=\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\left(\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}\right)\,\mathrm du\,\mathrm dv


where \mathbf s(u,v) is a vector-valued function that parameterizes \mathcal S. In this case, we can take

\mathbf s(u,v)=(u\cos v,u\sin v,2u^2\cos v\sin v)=(u\cos v,u\sin v,u^2\sin2v)

with 0\le u\le1 and 0\le v\le2\pi. Then

\mathrm d\mathbf S=\left(\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}\right)\,\mathrm du\,\mathrm dv=(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv

and the integral becomes

\displaystyle\iint_{\mathcal S}(-2u^2\sin2v,-3u^2\cos^2v,-1)\cdot(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv
=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=1}u-6u^4\sin^3v-4u^4\cos v\sin2v\,\mathrm du\,\mathrm dv=\pi<span />
4 0
2 years ago
Solve the system of equations using substitution.<br> Y= 2x - 10<br> Y= 4x - 8
Oksana_A [137]

Answer:

Step-by-step explanation:

4x - 8 = 2x - 10

2x - 8 = -10

2x = -2

x = -1

y = 4(-1) - 8 = -4 -8 = -12

(-1, -12)

8 0
2 years ago
The manager of a shopping mall distributed a customer-satisfaction survey by handing it to people as they came through one of th
Tresset [83]

Answer:

The correct option is D.  No, because a random sample from all customers of the shopping mall was not selected

Step-by-step explanation:

In statistics, Bias can be described as a term which depicts error if a sample is not taken evenly or it depicts errors taken from an unjust sampling.

In statistics, sampling bias means the errors which occur if one part of the population is favoured more then the rest of the populations. In this kind of bias, the individuals for experimentation are not chosen randomly.

As the customer satisfaction survey was distributed in only one of the gates hence, it does not give a generalized result and the result is biased.

6 0
3 years ago
Read 2 more answers
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