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2 years ago

Ce

SAT

1 answer:

e-lub [12.9K]2 years ago

6 0

Answer:

Explanation:

cv= standard deviation/ mean

40/3

13.33

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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

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2 years ago

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makkiz [27]

Answer:

data set

Explanation:

it supposed make it easier

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How many 7s go into 53

fredd [130]

$7 x 7= 49

7 x 9= 56$

So 49 is smaller than 53 and 56 is bigger than 53.

Therefore its 7 with a remainder of 4

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Choose the graph of the solution to this inequality. –6x < 21.

arlik [135]

Answer: x> -7/2

Explanation: There is no graph given, but it would look like this

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A plant growing in a pot is more likely to be affected by a shortage of minerals than a plant growing in a garden. Give the reas

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Because there is a limited amount of compost with a limited amount of minerals. In the garden there is loads of soil and loads of minerals. because of decomposition and absorption minerals can easily be replaced in the garden soil, unlike in a plant pot.

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