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tatyana61 [14]
3 years ago
9

6 millimeters = yards

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0
6 millimeters equals 0.00656168 yards.
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Levi borrowed $7129 at 4% simple interest for 6 months. How much will the interest amount to? What is the total amount that Levi
rodikova [14]

Answer:

Interest will amount to $142.58

Total amount Levi will have to pay back at the end of 6 months=$7271.58

Step-by-step explanation:

Simple interest=principal×rate×time

Principal=$7129

Rate=4%=0.04

Time=6 month=0.5 year

Simple interest=principal×rate×time

=$7129×0.04×0.5

=$142.58

Interest will amount to $142.58

Total amount Levi will have to pay back at the end of 6 months

=principal + total interest

=$7129+$142.58

=$7271.58

4 0
3 years ago
Use stoke's theorem to evaluate∬m(∇×f)⋅ds where m is the hemisphere x^2+y^2+z^2=9, x≥0, with the normal in the direction of the
ludmilkaskok [199]
By Stokes' theorem,

\displaystyle\int_{\partial\mathcal M}\mathbf f\cdot\mathrm d\mathbf r=\iint_{\mathcal M}\nabla\times\mathbf f\cdot\mathrm d\mathbf S

where \mathcal C is the circular boundary of the hemisphere \mathcal M in the y-z plane. We can parameterize the boundary via the "standard" choice of polar coordinates, setting

\mathbf r(t)=\langle 0,3\cos t,3\sin t\rangle

where 0\le t\le2\pi. Then the line integral is

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=0}^{t=2\pi}\mathbf f(x(t),y(t),z(t))\cdot\dfrac{\mathrm d}{\mathrm dt}\langle x(t),y(t),z(t)\rangle\,\mathrm dt
=\displaystyle\int_0^{2\pi}\langle0,0,3\cos t\rangle\cdot\langle0,-3\sin t,3\cos t\rangle\,\mathrm dt=9\int_0^{2\pi}\cos^2t\,\mathrm dt=9\pi

We can check this result by evaluating the equivalent surface integral. We have

\nabla\times\mathbf f=\langle1,0,0\rangle

and we can parameterize \mathcal M by

\mathbf s(u,v)=\langle3\cos v,3\cos u\sin v,3\sin u\sin v\rangle

so that

\mathrm d\mathbf S=(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv=\langle9\cos v\sin v,9\cos u\sin^2v,9\sin u\sin^2v\rangle\,\mathrm du\,\mathrm dv

where 0\le v\le\dfrac\pi2 and 0\le u\le2\pi. Then,

\displaystyle\iint_{\mathcal M}\nabla\times\mathbf f\cdot\mathrm d\mathbf S=\int_{v=0}^{v=\pi/2}\int_{u=0}^{u=2\pi}9\cos v\sin v\,\mathrm du\,\mathrm dv=9\pi

as expected.
7 0
3 years ago
Consider figures 1 through 4 on the coordinate plane.
nordsb [41]

The true statement about the coordinate plane is C. Figures 1 and 2 are not congruent because figure 1 cannot be mapped into figure 2.

<h3>What is a coordinate plane?</h3>

A coordinate plane simply means a two dimensional plane that's is formed by the intersection of a vertical line.

In this case, the true statement about the coordinate plane is that Figures 1 and 2 are not congruent because figure 1 cannot be mapped into figure 2 using a sequence of rigid transformation.

Learn more about coordinate plane on:

brainly.com/question/2644832

#SPJ1

3 0
2 years ago
Y=(?,?) x=(?,?) determine the intercept of the line
drek231 [11]
Xintercept (125,0)
Yintercept (0,275)
8 0
2 years ago
Read 2 more answers
Sketch a graph of −3x+y=2
DIA [1.3K]
You can do this by first finding the y intercept which is the point where x = 0

-3(0) + y = 2
so  y intercept is the point (0,2)

Now find the x intercept by putting y = 0

-3x = 2

x = -2/3 

So we have 2 points  (-2/3, 0) and (0,2)  Draw a line through these 2 points and you have the required graph.
6 0
3 years ago
Read 2 more answers
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