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3 years ago

Can somebody solve this?

Mathematics

2 answers:

nirvana33 [79]3 years ago

7 0

Answer:

8 months

Step-by-step explanation:

if you can get 120 per month then 950/120 = ~8

djverab [1.8K]3 years ago

5 0

Answer:

She needs $350.

Step-by-step explanation:

120 x 5 = 600

$950 - $600 = $350

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3 years ago

The expression 3 x 7 - 4x8+2 is equivalent to which of the following?

Mamont248 [21]

Answer: b

explanation: only choice B equals -9 like the given equation.

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3 years ago

A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 ye

Ann [662]

Answer:

1425 square kilometer.

Step-by-step explanation:

2900 - 8.5% = 2653.5

2653.5 - 8.5% = 2427.9525

2427.9525 - 8.5% = 2221.5765375

2221.5765375 - 8.5% = 2032.74253181

2032.74253181 - 8.5% = 1859.95941661

1859.95941661 - 8.5% = 1701.8628662

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1557.20452257 - 8.5% =1 424.84213815 ≈ 1425

3 0

3 years ago

Read 2 more answers

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

How do i factor the expressions 4w-16?

igomit [66]

The answer to this would be 4(w-4)

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