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melomori [17]
2 years ago
11

Jorge makes fruit snacks for his friends. He uses 1 1/2 apples to make 3 fruit snacks.

Mathematics
1 answer:
EastWind [94]2 years ago
7 0

Answer:

Jorge needs 1/2 apple to make the snack.

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A fluid has density 810 kg/m3 and flows with velocity v = z i + y2 j + x2 k, where x, y, and z are measured in meters and the co
mixas84 [53]

Denote the cylindrical surface by S, and its interior by R. By the divergence theorem, the integral of \vec v across S (the outward flow of the fluid) is equal to the integral of the divergence of \vec v over the space it contains, R:

\displaystyle\iint_S\vec v\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec v)\,\mathrm dV

The given velocity vector has divergence

\vec v=z\,\vec\imath+y^2\,\vec\jmath+x^2\,\vec k\implies\nabla\cdot\vec v=\dfrac{\partial(z)}{\partial x}+\dfrac{\partial(y^2)}{\partial y}+\dfrac{\partial(x^2)}{\partial z}=2y

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Converting to cylindrical coordinates gives the integral

\displaystyle2\int_0^{2\pi}\int_0^3\int_0^4r^2\sin\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{0}

6 0
3 years ago
What is the sum of the first 28 terms of this arithmetic sequence? 69,75,81,87,93,99
aev [14]
The sum of 69,75,81,87,93,99 is 504.0.
7 0
3 years ago
Aidens class is planning a fundraiser. The results show that 3 out of 4 students want to sell candy. If there are 28 students in
Free_Kalibri [48]

Answer:

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6 0
3 years ago
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Please answer this quickly
scZoUnD [109]

Answer:

14 and 16

Step-by-step explanation:

your adding 2 to each each time, if your looking for the multiplied awnser its 224

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What is another way to write the calculation add 16 and 25, and then multiply by 47?
GarryVolchara [31]

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Step-by-step explanation:

..........

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