Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
Answer:
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Step-by-step explanation:
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Answer: 1859.5 mini bears
Step-by-step explanation:
From the information given in the question,
10 mini bars = 12.1 grams
10 regular bars = 23.1 gram
1 super bear = 2250 grams
To eat enough mini bears to match the super bears, the number that it'll take will be:
Since 10 mini bars = 12.1 grams
1 mini bear = 12.1 grams / 10 = 1.21 gram
Since 1 super bear = 2250 grams, the number of mini bears needed to equate this will be:
= 2250/1.21
= 1859.5 mini bears
The cost should be the same on day 3
Answer:
35 and 7/12 feet is the combined height of the two records.
Step-by-step explanation:
Height of the indoor pool vault record for men = 20 and 1/6 ft =
Height of indoor pool vault record for women = 15and 5/12 ft =
The combined height of the two records :




35 and 7/12 feet is the combined height of the two records.