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marusya05 [52]
3 years ago
8

In order to select new board members, the French club held an election. 25% of the 84 members of the club voted. How many member

s voted?
Mathematics
1 answer:
Sloan [31]3 years ago
6 0

Answer: 21 people voted

Step-by-step explanation:

an easy way to do this is simply multiply 84 * 0.25.

This gives you \frac{1}{4} of the original amount

in this case 84×0.25 = 21

This means that 21 people voted

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Calculate the integral s f · ds, where s is the entire surface of the solid half ball x2 + y2 + z2 ≤ 1, z ≥ 0, and f = (x + 3y5)
SSSSS [86.1K]
The divergence theorem applies since \mathcal S is a closed surface. We have

\displaystyle\iint_{\mathcal S}\mathbf f(x,y,z)\cdot\mathrm d\mathbf S=\iiint_{\mathcal V}\nabla\times\mathbf f(x,y,z)\,\mathrm dV

where \mathcal V is the space enclosed by the surface \mathcal S. The divergence of the given vector field is

\nabla\times\mathbf f(x,y,z)=\dfrac{\partial(x+3y^5)}{\partial x}+\dfrac{\partial(y+10xz)}{\partial y}+\dfrac{\partial(z-xy)}{\partial z}=1+1+1=3

So we can write the volume integral (in spherical coordinates) as

\displaystyle3\iiint_{\mathcal V}\,\mathrm dV=3\int_{\varphi=0}^{\varphi=\pi/2}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=1}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\frac{4\pi}3
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3 years ago
Simplify the expression: 2(x+h)^2 - 2x^2 over (x+h) - x
Karolina [17]

Answer:

4x

Step-by-step explanation:


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3 years ago
Find the percent of change, original: $75 new: $60
PolarNik [594]

Answer:

80%

Step-by-step explanation:

60/75 = 4/5 = 0.80

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6 0
3 years ago
Read 2 more answers
How do u solve this step by step and also pls don’t answer unnecessarily
kari74 [83]
You have to have one side equal x so I’ll solve one from each section

e) x = 2

5x = 12 - x
add x to both sides
6x = 12
divide both sides by 6
x = 2

k) x = 3

15x + 4 = 10x + 19
move the 4 to the other side by subtracting on both sides
15x = 10x + 15
subtract 10x from both sides
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divide by sides by 5
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3 years ago
Read 2 more answers
PLEASE EXPLAIN 16a⁴-25???
makkiz [27]
Is this algebra? Or what
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3 years ago
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