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NemiM [27]
2 years ago
8

Find the Constant of Proportionality from the table

Mathematics
1 answer:
eimsori [14]2 years ago
7 0
Bye $2?3?3?4?4?4?4?4?!4$4$4&3&3!:??:?:$.!.!/!!/!3!3!3
You might be interested in
Find the volume of a sphere with a radius of 100yd . Express your answer in terms of pi.
Evgen [1.6K]

Answer:

4/3*100^3*π

Step-by-step explanation:

V = 4/3*π*r^3

= 4/3*π*100^3

≈ 4.18879*10^6

5 0
3 years ago
Use a number line to add and subtract.<br><br> +7 + (-3)=
Karolina [17]

Answer:

4

Step-by-step explanation:

You have positive number and it is bigger that negative so your result will be positive too:

7-3=4

4 0
3 years ago
Help with number 6 pleaseeeeeeee
vitfil [10]
SinA=5root3/10
CosA=5/10
TanA=5root3/5=root3
SinC=5/10=1/2=0.5
CosC=5root3/10
Tanc=5/5root3=1/root3
7 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
8 0
3 years ago
Bob drove at an average speed of 15km/h correct to the nearest unit. He drove for 3 hours, correct to the nearest hour. What is
Mazyrski [523]

Answer:

45km

Step-by-step explanation:

Given data

Average Speed= 15km/h

Time = 3 hours

Required

The distance traveled

Speed= distance/time

Distance= speed*time

Distance= 15*3

Distance= 45km

Hence the lower bound of the distance is 45km

5 0
3 years ago
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