hectictar

\(\sqrt{160} \\ = \sqrt{(2)(2)(2)(2)(2)(5)} \\ = (2)(2)\sqrt{(2)(5)} \\ = 4\sqrt{10}\)

≈ 12.650

I don't really know how to do this but I was just thinking about it and if we just knew the total time of the fall then we could figure out how high it fell from because we know gravity makes stuff fall at about 9.8 m/s² . (But you have to forget about air resistance.)

So wouldn't the time of the fall be 2.0 + 0.125 + 0.125? Because if the bounce up was identical to the fall then there is exactly as much height above the window as below it.

So the total time is 2.25 seconds...and gravity makes stuff fall at 9.8 m/s/s.

So height divided by time divided by time is 9.8

height divided by 2.25 divided by 2.25 is 9.8

height is 9.8*2.25*2.25

height is about 49.6125 meters.

That's probably wrong though because I'm just guessing at how to do it.

I think I can do this problem, but I'm not the best at these so it could be wrong.

Using 9.8 m/s² as the approximation for gravity:

acceleration function: →  h''(t) = -9.8

velocity function: →         h'(t) = -9.8t + 12

position function: →         h(t) = -4.9t² + 12t

I didn't explain all the steps I did there because I don't know if my way of doing it is the best way; it's just the only way I know how to do it. So I don't want to confuse you any if my way is not the way you've been taught to do it.

We need to find the values of t where the velocity, h'(t) = 0. The velocity will be zero right at the max height.

0 = -9.8t + 12

-12/-9.8 = t

60/49 = t

So at t = 60/49, the velocity is 0. So let's find the position, h(t), when t = 60/49.

h(60/49) = -4.9(60/49)² + 12(60/49)

h(60/49) = -4.9(3600/2401) + 720/49

h(60/49) = -360/49 + 720/49

h(60/49) = 360/49 ≈ 7.347 meters

(30) + (-50) - (20)

= 30 - 50 - 20

= -40

Top row second column from left.

The whole reason we all love Friday is only because its right before Saturday! 

Isn't he the guy who joined up yesterday?

No problem :)

There's nothing more to it than just plugging it into your calculator and making sure that the mode is in degrees.

Literally just put in "  190cos(41)  "

You should get approximately 143.395.

The way to do it is divide (2x⁴ + 3x³ - x² + 6x -10) by (x² + 2) using long division or synthetic division and whatever you get is the answer.

So it is B: 2x² + 3x - 5