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Phantasy [73]
2 years ago
15

What is the solution to this equation?

Mathematics
1 answer:
finlep [7]2 years ago
7 0

Answer:

sdfdzfb and 4

Step-byerdsf-step explanaxctidv

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Brooklyn has $88 in her savings account she say the same amount of money each week for 32 weeks after which she has a total of $
jeyben [28]

$200 - $88 = $112

$112 / 32 weeks = $3.50

Brooklyn saved $3.50 each week

3 0
3 years ago
What is the side length of a square with an area of 144x^2?
zvonat [6]
To answer this, we need to know the expression for the area of a square which is the square of its side length or:

Area = a²

Solving for the side length,

a = √area
a = √144x²
a = 12x

Therefore, the side length is 12x.
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3 years ago
½ is the same as 0.5 and the ratio of _____.
Crazy boy [7]
1:2

Similar to the 1/2 fraction, 1:2 is a simplified ratio of a half.
6 0
3 years ago
Evaluate the integral e^xy w region d xy=1, xy=4, x/y=1, x/y=2
LUCKY_DIMON [66]
Make a change of coordinates:

u(x,y)=xy
v(x,y)=\dfrac xy

The Jacobian for this transformation is

\mathbf J=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial v}{\partial x}\\\\\dfrac{\partial u}{\partial y}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}y&x\\\\\dfrac1y&-\dfrac x{y^2}\end{bmatrix}

and has a determinant of

\det\mathbf J=-\dfrac{2x}y

Note that we need to use the Jacobian in the other direction; that is, we've computed

\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}

but we need the Jacobian determinant for the reverse transformation (from (x,y) to (u,v). To do this, notice that

\dfrac{\partial(x,y)}{\partial(u,v)}=\dfrac1{\dfrac{\partial(u,v)}{\partial(x,y)}}=\dfrac1{\mathbf J}

we need to take the reciprocal of the Jacobian above.

The integral then changes to

\displaystyle\iint_{\mathcal W_{(x,y)}}e^{xy}\,\mathrm dx\,\mathrm dy=\iint_{\mathcal W_{(u,v)}}\dfrac{e^u}{|\det\mathbf J|}\,\mathrm du\,\mathrm dv
=\displaystyle\frac12\int_{v=}^{v=}\int_{u=}^{u=}\frac{e^u}v\,\mathrm du\,\mathrm dv=\frac{(e^4-e)\ln2}2
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3 years ago
Mhanifa please answer this question about lines
ratelena [41]
I think the answer is TR
3 0
2 years ago
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