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2 years ago

Which of the following are correct descriptions of the compositions of earth's different internal layers?.

1 answer:

lisabon 2012 [21]2 years ago

7 0

The answer choice which is the correct description of the compositions of earth's different internal layers is:

The Crust
The Mantle
The Core

<h3>The Earth</h3>

The earth is made up of various layers and the composition of the internal layers can be classified into the crust, mantle and core.

Each different layer has distinct features and characteristics which makes them unique and are important to preserve the Earth's core.

Read more about earth's internal layers here:
brainly.com/question/2673884

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3 years ago

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 )

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

… = 2 (1 + i ) / ((1 - i ) (1 + i ))

… = 2 (1 + i ) / (1² - i ²)

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… = 1 + i

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2 years ago

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valina [46]

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