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12345 [234]
3 years ago
6

Fred runs 200 metres in 21.2 seconds.

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0

Answer:

9.43 m/s

Step-by-step explanation:

Fred runs 200 metres in 21.2 seconds

FIND: Work out Fred’s average speed

aver speed =<u> 200 m </u>

                       21.2 s

                   = 9.43 m/s

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however, let's use a variable hmmm say "k", where "k" is the value of "n" beginning at 1, thus k = n - 1.

however, if k = n - 1, then k + 1 = n.  So let's use those fellows then,

\bf \sum\limits_{n=2}^{10}~-2n-3\qquad &#10;\begin{cases}&#10;k=n-1\\&#10;k+1=n&#10;\end{cases}\implies \sum\limits_{k=1}^{9}~-2\stackrel{n}{(k+1)}-3&#10;\\\\\\&#10;\sum\limits_{k=1}^{9}~-2k-2-3\implies \sum\limits_{k=1}^{9}~-2k-5\implies \sum\limits_{k=1}^{9}~-2k-\sum\limits_{k=1}^{9}~5&#10;\\\\\\&#10;-2\sum\limits_{k=1}^{9}~k-\sum\limits_{k=1}^{9}~5\implies -2\left( \cfrac{9(9+1)}{2} \right)\qquad -\qquad (9\cdot 5)&#10;\\\\\\&#10;-2(45)-45\implies -90-45\implies -135
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