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3 years ago

R agtfhhhdfggggggggggggggggddddddddg

SAT

2 answers:

mihalych1998 [28]3 years ago

8 0

Answer:

what is this? ha..........

Lena [83]3 years ago

5 0

What are yo trying to do ?

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Simplify: 1 + i + i^2 + i^3 +i^4 +i^5 if i^2 =-1.

Vika [28.1K]

1 + i + i ² + i ³ + i ⁴ + i ⁵ = 1 + i + i ² (1 + i + i ² + i ³)

… = 1 + i + i ² (1 + i + i ² (1 + i ))

… = 1 + i + (-1) (1 + i + (-1) (1 + i ))

… = 1 + i + (-1) (1 + i - 1 - i )

… = 1 + i

Alternatively, notice that

1 - i ⁶ = (1 - i ) (1 + i + i ² + i ³ + i ⁴ + i ⁵)

so that

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

Now, i ⁶ = (i ²)³ = (-1)³ = -1, so

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

… = 2 / (1 - i )

Multiply the numerator and denominator by the conjugate of 1 - i :

… = 2 (1 + i ) / ((1 - i ) (1 + i ))

… = 2 (1 + i ) / (1² - i ²)

… = 2 (1 + i ) / (1 + 1)

… = 1 + i

3 0

2 years ago

Read 2 more answers

Which timeline shows the correct order of contributions made to the discovery of dna?.

tino4ka555 [31]

is there a supposed to be a picture?

8 0

3 years ago

What in the world am I doing? What is 1+1? What is the joke?

yanalaym [24]

Answer:

I don't know what you're doing

1+1=3

I don't know what the joke is

5 0

2 years ago

What cuases the movement of the plates of the Earth

choli [55]

Answer:

Co vid 19..

Explanation:

5 0

3 years ago

Read 2 more answers

The measure ∠BQS of is 80°. What is the m∠NQS? 48° 42° 32° 128°

scZoUnD [109]

Answer:

32°

Explanation:

From the question, we are told that:

The measure ∠BQS of is 80°.

In the above diagram, m∠BQN = 48°

What is the m∠NQS?

∠BQS = m∠BQN + m∠NQS

80° = 48° + m∠NQS

m∠NQS = 80° - 48°

m∠NQS = 32°

Therefore, m∠NQS = 32°

8 0

3 years ago