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Mathematics 14 Online
OpenStudy (saifoo.khan):

Question:

OpenStudy (anonymous):

8?

OpenStudy (anonymous):

\[f(x) =125 \left( \frac{2}{5}\right)^x \] or am I too blue-eyed about this problem ?

OpenStudy (saifoo.khan):

How? Why?

OpenStudy (ghazi):

3.2

OpenStudy (anonymous):

3.2

OpenStudy (anonymous):

yes, 3.2 for x=4

OpenStudy (anonymous):

except of course this is something physical I fail to understand (-:

OpenStudy (anonymous):

lol...everybody got it except me..:D

OpenStudy (ghazi):

every time it bounces 2/5 of it's original height..but first bounce is counted when it went 125 inches

OpenStudy (anonymous):

125 *(2/5)^4

OpenStudy (ghazi):

and after that you need to count for four more

OpenStudy (anonymous):

@saifoo.khan Do u have the answer key

OpenStudy (saifoo.khan):

why are we inserting 4? Why not 3?

OpenStudy (saifoo.khan):

@Yahoo! , nope.

OpenStudy (saifoo.khan):

Because the first bounce has already happened. We are left with 3 of them now?

OpenStudy (anonymous):

hmm, you have a point there @saifoo.khan

OpenStudy (saifoo.khan):

So @mukushla we correct? :D

OpenStudy (ghazi):

because question asked for four bounces after the ball dropped

OpenStudy (saifoo.khan):

"After the first bounce " it reaches the height of 125 @ghazi

OpenStudy (anonymous):

Yup.....@mukushla was correct

OpenStudy (anonymous):

Yes I guess my interpretation of that text is flawed it is x=3, which are four bounces, for x=0 initial bounce at a height of 125

OpenStudy (saifoo.khan):

Yep!

OpenStudy (saifoo.khan):

So medals for Muk?

OpenStudy (ghazi):

agreed...!!

OpenStudy (anonymous):

Funny formula in general, according to it the ball can do more than one hundred bounces :D Clearly a real world phenomenon!

OpenStudy (saifoo.khan):

Hehe. Thanks all.

OpenStudy (ghazi):

not only hundred ...it can go infinite theoretically

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