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Amiraneli [1.4K]
3 years ago
7

180 is 10 % more than witch number ?

Mathematics
1 answer:
Andrei [34K]3 years ago
6 0
It is 10 percent more then 198.
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Use Green's Theorem to calculate the circulation of F =2xyi around the rectangle 0≤x≤8, 0≤y≤3, oriented counterclockwise.
Tamiku [17]

Green's theorem says the circulation of \vec F along the rectangle's border C is equal to the integral of the curl of \vec F over the rectangle's interior D.

Given \vec F(x,y)=2xy\,\vec\imath, its curl is the determinant

\det\begin{bmatrix}\frac\partial{\partial x}&\frac\partial{\partial y}\\2xy&0\end{bmatrix}=\dfrac{\partial(0)}{\partial x}-\dfrac{\partial(2xy)}{\partial y}=-2x

So we have

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_D-2x\,\mathrm dx\,\mathrm dy=-2\int_0^3\int_0^8x\,\mathrm dx\,\mathrm dy=\boxed{-192}

6 0
3 years ago
Whats an equation that the passes through (-6,4) and is parallel to y=1/2x+8
Trava [24]
Formula y-y1= m(X-X1)
Since its parallel the m is 1/2
The -6 is X1 and the 4 is y1
Okay now do formula

Y-4= 1/2(X--6)
Y-4= 1/2X+3
Add 4

Y= 1/2x +7
6 0
3 years ago
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Nikitich [7]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
Solve 2a 2 - 3a - 2 = 0<br><br> {-1/2, 2}<br> {1/2, -2}<br> {}
d1i1m1o1n [39]
Apply slip and slide
a^2-3a-4
(a-4)(a+1)
(a-2)(2a+1)

Find zeros
a-2=0
a=2

2a+1=0
2a=-1
a=-1/2

Final answer: {-1/2, 2}
8 0
3 years ago
Read 2 more answers
Which expression represents the area of the figure?
lys-0071 [83]

Answer:

The solution is 8x2 + 16x + 8. The region can be divided into a triangle and a rectangle.

Area of Triangle=  

1

2

(2x + 2)(2x)

Area of Triangle = 2x2 + 2x

Area of Rectangle: (2x + 2)(3x + 4)

Area of Rectangle: 6x2 + 14x + 8

Sum of Two Regions: 8x2 + 16x + 8

Step-by-step explanation:

4 0
3 years ago
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