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ra1l [238]
2 years ago
8

Casey uses some of his savings on batting practice the cost of renting a batting cage for one hour is six dollars he rents a cag

e for nine hours in each two months what is the change in caseys savings after two months
Mathematics
1 answer:
uysha [10]2 years ago
4 0
6 times 9 equals $54.
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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

Then the total outward flow is

\displaystyle\iiint_R2y\,\mathrm dV

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
= (1) - (179+6)<br> (9+52i)-(1)
deff fn [24]

179+6=185

1-185= -184

9-1+52i= 8+52i

4 0
3 years ago
What is the solution to x - 9 &gt; -15? x &lt; -6 x &gt; -6 x &lt; -24 x &gt; -24
Talja [164]
Here you go!! Hope my answer also assists you in the future!! :))

4 0
2 years ago
What is 1.036 that add up to 4
Mamont248 [21]

Answer:

2.964

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Choose all the expressions that are equal to 45,000 ÷ 90.
scZoUnD [109]
A and D is the answer
8 0
2 years ago
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