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3 years ago

How do you do this type of exponent? Problem: x • x • x • x • ... • x ; I really don't get this and need help! Thanks.

1 answer:

8 0

To do this problem all you need to do is multiply the x's together and you would just add the x together by exponents Ex: x•x•x•x•x=? The answer would be x^5 Since I don't know how many x you have I can't give you the exact answer

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Write and solve a real world word problem in which there are three tables for every 8 chairs

mylen [45]

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3 years ago

2x-3=-2<br> What is the answer to this equation?

Effectus [21]

1/2 or 0.5 hope this helps

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2 years ago

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aniked [119]

Answer:

$1.98

Step-by-step explanation:

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2 years ago

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A torus is formed by rotating a circle of radius r about a line in the plane of the circle that is a distance R (> r) from th

jeyben [28]

Consider a circle with radius $r$ centered at some point $(R+r,0)$ on the $x$ -axis. This circle has equation

$(x-(R+r))^2+y^2=r^2$

Revolve the region bounded by this circle across the $y$ -axis to get a torus. Using the shell method, the volume of the resulting torus is

$\displaystyle2\pi\int_R^{R+2r}2xy\,\mathrm dx$

where $2y=\sqrt{r^2-(x-(R+r))^2}-(-\sqrt{r^2-(x-(R+r))^2})=2\sqrt{r^2-(x-(R+r))^2}$ .

So the volume is

$\displaystyle4\pi\int_R^{R+2r}x\sqrt{r^2-(x-(R+r))^2}\,\mathrm dx$

Substitute

$x-(R+r)=r\sin t\implies\mathrm dx=r\cos t\,\mathrm dt$

and the integral becomes

$\displaystyle4\pi r^2\int_{-\pi/2}^{\pi/2}(R+r+r\sin t)\cos^2t\,\mathrm dt$

Notice that $\sin t\cos^2t$ is an odd function, so the integral over $\left[-\frac\pi2,\frac\pi2\right]$ is 0. This leaves us with

$\displaystyle4\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}\cos^2t\,\mathrm dt$

Write

$\cos^2t=\dfrac{1+\cos(2t)}2$

so the volume is

$\displaystyle2\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}(1+\cos(2t))\,\mathrm dt=\boxed{2\pi^2r^2(R+r)}$

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3 years ago

Alonzo just brought 7 bags of 14 cookies each. He already had 9 cookies in a jar. How many cookies does Alonzo have now?

timurjin [86]

You would do 7 times 14 plus 9 and it would equal 107 cookies.

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3 years ago

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