plz解答我問題!!!!!急!!(include正負數)

2012-08-07 1:48 am
呢到有1條問題,請解笿並清楚列出計算步驟,過程&原因.thx!!!:]

1.A hot air balloon is located 400 m above the ground. Then it fall slowly at 30 m per minute. If +30 represents 30 m above the ground, how high is the balloon after 8 minutes?
更新1:

still have one more question!! 2.consider the expression (-1)x(-1)x(-1)x......x(-1).what is th value if the number of -1's is odd? What if the number of -1's is even?Explain your answer briefly. thx a lot!! 答得一題得一題la!!thx!!!:]

回答 (1)

2012-08-07 3:46 pm
✔ 最佳答案
1.
In 8 minutes the ball falls -30 m/min x 8 min = -240 m (negative sign indicates the ball is falling)
Since the ball is 400 m above the ground, it has positive value + 400
The height of the ball after 8 minutes = + 400m – 240 m = + 160 m
Positive sign indicates the ball is above ground.

The height of the ball after 8 minutes is + 160 m

2.consider the expression (-1)x(-1)x(-1)x......x(-1).what is th value if the number of -1's is odd? What if the number of -1's is even?Explain your answer briefly. thx a lot!!
(-1)^odd number = -1
(-1)^even number = +1
the value = -1 if the number of -1's is odd

(-1)x (-1) = +1
(-1)x (-1) = +1
(-1)x (-1) = +1
,,,,,,,,,,,,,,,
A pair consists of two (-1)
For a pair (-1)x(-1) = +1

For n pairs , there are 2n number of (-1) = (+1) ^n = +1
When n pairs is multiplied by one (-1), there are odd number (-1),
When the number of (-1) is odd, the product = value of n pairs x (-1) = (+1)(-1) = -1



2012-08-07 07:50:32 補充:
the value = -1 if the number of -1's is odd (Answer)

Qustion 2. 補答

the value = +1 if the number of -1's is even (Answer)


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