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3 years ago

Please help!

2 answers:

3 0

First you need to find how much is left in the container by finding the whole volume.
cylinder volume= πr²h where r is the radius and h is hight
V= (3.14)*(5²)*(10)
V=(31.4)(25)
V=785cm³ is the total volume
now half has been used so divide that number in half
785/2= 392.5cm³
now she uses 4cm³ a day so divide
392.5/4= 98.125
round to the nearest whole number
answer is B 98

timurjin [86]3 years ago

3 0

Well I took the test and used the 98 days answer but it was wrong its actually 25 days

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G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

4 years ago

PLZ HELP!!!!!! What is 1-34 divided by (3x8-7) - 2x3

serious [3.7K]

You do the brackets first so 3x8 = 24 - 7 = 17

You then do divide so 34/17 = 2

You then do the multiplication so 2x3= 6

Then you have 1-2-6 = - 7

The order you do it in is BIDMAS
B = brackets
I = indices
D = division
M = multiplication
A = addition
S = subtraction

So the answer is - 7

8 0

3 years ago

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Wittaler [7]

It’s 36 I looked it up and I did this before have a good day anything else?

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3 years ago

A right square pyramid has a slant height of 25 feet, and the length of a side of the base is 14 feet. What is the height of the

Tanzania [10]

Answer: $24\ ft$

Step-by-step explanation:

Given

The slant height of the square pyramid is $l=25\ ft$

The length of the side of the base is $a=14\ ft$

for the square pyramid, height is given by

$\Rightarrow h=\sqrt{l^2-r^2}\quad \quad [\text{where r=}\frac{a}{2}]\\\Rightarrow h=\sqrt{25^2-7^2}\\\Rightarrow h=\sqrt{625-49}\\\Rightarrow h=\sqrt{576}\\\Rightarrow h=24\ ft$

Thus, the height of the prism is $24\ ft$

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monitta

Penelope has made 11/16ths of her cards.

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3 years ago

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