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2 years ago

Find the Mean, Median, and Mode by reading the question:

Mathematics

1 answer:

Harrizon [31]2 years ago

3 0

Answer:

1060

Step-by-step explanation:

1060

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Covert (3×10²)(2×10³) to scientific notation. Show work please.

leonid [27]

(3*2)(10^2 * 10^3) = 6*10^5

4 0

3 years ago

Mr. Smith baked 144 blueberry pies, some strawberry pies, and some apple pies. The number of apple pies is 4\5 of the number of

Leviafan [203]

B = 144
a = 4/5s
s = a + 24

s = 4/5s + 24
5/5s - 4/5s = 24
1/5s = 24
s = 24 * 5
s = 120

a = 4/5s
a = 4/5(120)
a = 480/5
a = 96

blueberry pies = 144
total of all pies = 144 + 120 + 96 = 360

percent of blueberry pies is : 144/360 = 0.40 = 40% <==

6 0

3 years ago

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I don't know the transformation

NeX [460]

The original was expanded...

3 0

3 years ago

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

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

6 0

3 years ago

** HELP ASAPP ** how do u do this!!! (image bellow)

Nikitich [7]

Answer:

x/2 + y/3 = 1

Step-by-step explanation:

using this formula

x/a + y/b = 1 , where a and b are the coordinates of x and y axes respectively.

7 0

2 years ago

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