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2 years ago

A color printer prints 31 pages in 9 minutes. How many pages does it print per minute?

1 answer:

7 0

According to my calculations, it would take approximately 3.4 (being in decimal form) pages PER minute or Just 3 minuets being rounded to the nearest tenth. If I am I correct please correct me. I used a calculator.

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What measure of center best represents the data set? Drag and drop the correct answer into the box. Data Set Best Measure of Cen

Blababa [14]

Answer:

Mean or Median.

Step-by-step explanation:

The mean and the median are both equal to 27.

Therefore the answer is,

mean or median.

3 0

3 years ago

Read 2 more answers

Calculate s f(x, y, z) ds for the given surface and function. g(r, θ) = (r cos θ, r sin θ, θ), 0 ≤ r ≤ 4, 0 ≤ θ ≤ 2π; f(x, y, z)

Triss [41]

$g(r,\theta)=(r\cos\theta,r\sin\theta,\theta)\implies\begin{cases}g_r=(\cos\theta,\sin\theta,0)\\g_\theta=(-r\sin\theta,r\cos\theta,1)\end{cases}$

The surface element is

$\mathrm dS=\|g_r\times g_\theta\|\,\mathrm dr\,\mathrm d\theta=\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

and the integral is

$\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\int_0^{2\pi}\int_0^4((r\cos\theta)^2+(r\sin\theta)^2)\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

$=\displaystyle2\pi\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac\pi4(132\sqrt{17}-\sinh^{-1}4)$

###

To compute the last integral, you can integrate by parts:

$u=r\implies\mathrm du=\mathrm dr$

$\mathrm dv=r\sqrt{1+r^2}\,\mathrm dr\implies v=\dfrac13(1+r^2)^{3/2}$

$\displaystyle\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac r3(1+r^2)^{3/2}\bigg|_0^4-\frac13\int_0^4(1+r^2)^{3/2}\,\mathrm dr$

For this integral, consider a substitution of

$r=\sinh s\implies\mathrm dr=\cosh s\,\mathrm ds$

$\displaystyle\int_0^4(1+r^2)^{3/2}\,\mathrm dr=\int_0^{\sinh^{-1}4}(1+\sinh^2s)^{3/2}\cosh s\,\mathrm ds$

$\displaystyle=\int_0^{\sinh^{-1}4}\cosh^4s\,\mathrm ds$

$=\displaystyle\frac18\int_0^{\sinh^{-1}4}(3+4\cosh2s+\cosh4s)\,\mathrm ds$

and the result above follows.

4 0

3 years ago

Giving away alotta points before i leave this site<br><br> Factor this <br> x^2-16

attashe74 [19]

X^2-16
(x-4)(x+4)
I'm pretty sure that's it.

4 0

2 years ago

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Three friends each create 4 bags of starter bread dough. After ten days, each of those four bags is then divided into four more

adell [148]

If you add together all of the bags in total, you would have 24 bags (8+8+8), and the 3 friends will have four bags each in total. After another ten days you will have 96 bags of dough (24 x 4). After another ten days there will be 384 bags of dough, so at this point there will be 192 bags of dough available, assuming that the friends continue with the same method.

7 0

3 years ago

Help me pls and i will be your gf forever.<br> I am 13 btw

cluponka [151]

Answer:

Step-by-step explanation:

I think it is 4and btw dont lure people by saying these things

6 0

2 years ago

Read 2 more answers