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4 years ago

PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE 30 POINTS

Mathematics

1 answer:

nekit [7.7K]4 years ago

5 0

Look up decimal to percentage calculator and you can enter the decimals and get your answer because me entering all of them would be a pain

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Under his cell phone plan, Cameron pays a flat cost of $41 per month and $5 per gigabyte. He wants to keep his bill under $65 pe

hammer [34]

Answer- 512 (hope this helps)

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3 years ago

A rare collectible coin was purchased in 1997 for $13,250. Its value has increased by 19% per year. How much would the coin be w

Norma-Jean [14]

Answer:

15767.5

Step-by-step explanation:

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3 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

The phrase the difference between a number and four can be written as which variable expression

Gekata [30.6K]

Try -×=4??? i just started to learn how to do variable expressions correctly bc i just transfered to an high accelerating school, but if I'm wrong w the answer im very sorry, as i am just now learning.

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3 years ago

Solve the equation: <br> Two times n plus twenty-eight equals ninety-six.

just olya [345]

2n + 28 = 96 [Two times n plus twenty-eight equals ninety-six.}

You need to get n by itself, so you first subtract 28 on both sides

2n + 28 - 28 = 96 - 28

2n = 68 Divide 2 on both sides

n = 34

3 0

3 years ago

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PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE 30 POINTS ​

PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE 30 POINTS