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torisob [31]
3 years ago
15

You will submit your completed work from the "explore: famous people" assignment here. Type or copy/paste your response directly

into the space provided. As a reminder, the activity instructions are included below: using spanish resources, research a famous historical figure from a spanish-speaking country. You may consider finding information on miguel hidalgo, simón bolívar, josé de san martín, benito juarez or ferdinand and isabel. In 1-2 spanish paragraphs, write a brief biography and then describe his/her important contributions. In addition, explain this person's significance in the country where he/she is from. You will be graded on (1) evidence of research conducted, (2) appropriateness of response, and (3) overall quality of your response. You may use outside sources (internet, books, magazines, etc. ) to gather information for this assignment. However, be sure not to copy the information directly from those sources. Copying information and presenting it as your own work is considered plagiarism and will result in a failing grade. You will need to rephrase the information into your own words and cite the source of the information you used.
SAT
1 answer:
Zanzabum3 years ago
4 0

Answer:

Explanation:  

Luis Fonsi, is a Puerto Rican singer, songwriter and actor. He is known for multiple songs, one of them is "Despacito", featuring Puerto Rican rapper Daddy Yankee.    

It's short and exotic

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

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