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andre [41]
3 years ago
5

What are the three reason Gettysburg was a turning point?

Social Studies
1 answer:
Andrej [43]3 years ago
3 0

Answer:

1. Geographic advantage

2. The many losses

3. The change in morale

Explanation:

...

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Question 9 please both a and b
GarryVolchara [31]

a^k - b^k = (a - b)(a^{k-1} + a^{k-2}b + ... + b^{k-1})

a. Let's set a=3, b=1

3^k - 1^k = (3 - 1)(\textrm{some integer we'll call } m)

3^k = 1 + 2m

In other words 3^k is odd, i.e. 3^k has remainder 1 when divided by 2. \quad\checkmark

b. Let

k=2n, a=3, b=1

a^k - b^k = (a - b)(a^{k-1} + a^{k-2}b + ... + b^{k-1})

3^{2n} - 1^{2n} = (3 - 1 )(3^{2n-1} + 3^{2n-2} + ... + 1)

There are 2n terms in the last factor.  All the terms of the form

3^{2n-k}

are odd. So when we add up an even number of them, we get an even number, call it 2m.

3^{2n} - 1 = 2(2m)

3^{2n} - 1 = 4m

We've shown 3^{2n}-1 is divisible by four.  \quad \checkmark

Merry Christmas!

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3 years ago
In a positive mood, a person will experience increased activity in his or her left _____.
Free_Kalibri [48]
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Georgina is a middle-aged woman who volunteers as a tour guide at the local art museum and at the Museum of Asian Culture. She d
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Keeper of the meaning is a stage in adult development. This stage is about the "conservation and preservation of the collective products of mankind" or, in other words, passing on traditions, artifacts, knowledge, etc. to the next generation. That is the stage Georgina is at. She works at the museum because of her belief in the importance of preserving the culture for the future generations.

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