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anygoal [31]
2 years ago
13

I’m just gonna leave this here.

SAT
2 answers:
GuDViN [60]2 years ago
6 0

Answer:

that is so cool where did you find this

MatroZZZ [7]2 years ago
6 0

Answer:

as you should

Explanation:

juju jfurjfjdbxuejsjsjwjskdokdd what

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Simplify: 1 + i + i^2 + i^3 +i^4 +i^5 if i^2 =-1.
Vika [28.1K]

1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵ = 1 + <em>i</em> + <em>i</em> ² (1 + <em>i</em> + <em>i </em>² + <em>i</em> ³)

… = 1 + <em>i </em>+ <em>i</em> ² (1 + <em>i</em> + <em>i</em> ² (1 + <em>i</em> ))

… = 1 + <em>i</em> + (-1) (1 + <em>i</em> + (-1) (1 + <em>i</em> ))

… = 1 + <em>i</em> + (-1) (1 + <em>i</em> - 1 - <em>i</em> )

… = 1 + <em>i</em>

<em />

Alternatively, notice that

1 - <em>i</em> ⁶ = (1 - <em>i</em> ) (1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵)

so that

1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵ = (1 - <em>i</em> ⁶) / (1 - <em>i</em> )

Now, <em>i</em> ⁶ = (<em>i</em> ²)³ = (-1)³ = -1, so

1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵ = (1 - (-1)) / (1 - <em>i</em> )

… = 2 / (1 - <em>i</em> )

Multiply the numerator and denominator by the conjugate of 1 - <em>i</em> :

… = 2 (1 + <em>i</em> ) / ((1 - <em>i</em> ) (1 + <em>i</em> ))

… = 2 (1 + <em>i</em> ) / (1² - <em>i</em> ²)

… = 2 (1 + <em>i</em> ) / (1 + 1)

… = 1 + <em>i</em>

3 0
2 years ago
Read 2 more answers
Of the two carbon cycles, which one releases the greatest amount of carbon into the atmosphere?
lord [1]

Answer:

The biological carbon cycle

Explanation:

1000 times greater than the geological cycle

it just is

5 0
2 years ago
OK GUYS THIS IS EXTREMELY HARD AND I NEED HELP <br> PLEASE HELP ME AND DONT STEAL MY POINTS
Katen [24]

Answer:

smh

Explanation:

7 0
3 years ago
6. How does kalatok produced sound?
FromTheMoon [43]

Answer:

hope it's helpful for you

7 0
3 years ago
This question is for Child Development!
Ivan
“Baby” cereal and soft cooked thinly pureed fruits and vegetables should be a baby’s first solid food experiences. Single ingredients only and spaced 4 days apart with introducing each new food.
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