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Galina-37 [17]
3 years ago
14

How do I solve for #3, #4, #5 and #6 and what’s the answer ?

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Answer:

Step-by-step explanation:

Could you post the questions? We can't help if there is no context or problems.

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X 1 2 3 4<br> y 5 10 15 20<br><br><br> What's the constant?
DiKsa [7]

<u>Answer:</u>

x ---> 1

y ---> 5

<u>Step-by-step explanation:</u>

We are given paired values for two variables x and y and we are to determine the constant number by which each term is increased such that they are in a proportional relationship.

For x, we have the following paired values:

x: 1, 2, 3, 4

So here the difference between each consecutive term is 1 so the constant is 1.

And for y, we have:

y: 5, 10, 15, 20

In this case, the difference between each consecutive term is 5 so the constant is 5.

3 0
3 years ago
What is the equation of the line in slope-intercept form?
Bingel [31]
Y= Mx+b

In the equation of a straight line,the slope is the number "m" that is multiplied on the x, and "b<span>" is the </span>y<span>-intercept (that is, the point where the line crosses the vertical </span>y<span>-axis).</span>
7 0
4 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 (&gt; 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
30% of___ is 15 ?????
tensa zangetsu [6.8K]

Answer:

15 is 30% of 50

Step-by-step explanation:

We have, 30% × x = 15

Multiplying both sides by 100 and dividing both sides by 30,

we have x = 15 × 100/30

x = 50

If you are using a calculator, simply enter 15×100÷30, which will give you the answer.

7 0
3 years ago
2.929.87 greater than 2.929.087?
Artyom0805 [142]
Yes 2.929.87 8 is greater than 2.929.087
7 0
3 years ago
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