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kirill115 [55]
3 years ago
14

Answer using help from the word bank:

SAT
1 answer:
Sveta_85 [38]3 years ago
7 0

Answer:

4

Explanation:

it visual so the only way to see someone's future is visualizing

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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>

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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
3 years ago
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Makovka662 [10]

Answer:lol

Explanation:

                                                                                                                                                                   

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What is the apparent backward motion of Mars in the night sky known as?
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If you were asked to take a shot in a landscape area which includes the large fields and mountains, what kind of shot you will p
fredd [130]

The kind of shot i will take if asked to take a shot of a landscape area is called; Landscape Shot

<h3>Understanding Landscape Photography</h3>

Landscape photography is defined as the practice of capturing a natural or outdoor scene in an artful or compelling way in order to get the attention the viewer's.

There are different types of making photography but landscape photography is simply one of the most appreciated genres of photography and as such when taking shots of large fields and mountains we will take a landscape shot.

Read more about Landscape Photography at; brainly.com/question/2174211

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3 years ago
Why are generic pharmaceuticals significantly cheaper than name brand ones? <br><br> NEED HELP ASAP
RSB [31]

Answer:

Generic drugs tend to cost less than their brand-name counterparts because generic drug applicants do not have to repeat animal and clinical (human) studies that were required of the brand-name medicines to demonstrate safety and effectiveness.

Generic pharmaceuticals are significantly cheaper than name brand ones because generic pharmaceuticals are not protected by patent law, so the lack of barriers to entry and increased competition keep prices down.

Also, the makers of generic drugs do not have to cover the cost of developing and marketing a new product.

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