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3 years ago

Which ordered pair is a solution of the equation?

SAT

1 answer:

dmitriy555 [2]3 years ago

4 0

Answer:Neither

Explanation:

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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

What is the ph of a 0. 300 m solution of aniline (c₆h₅nh₂, kb = 4. 3 × 10⁻¹⁰)?.

yawa3891 [41]

The pH of the solution of aniline is; pH = 4.64

<h3>pH of aniline solution</h3>

According to the question;

We are required to determine the hydrogen ion concentration, pH of the given aniline solution.

Since, the given Kb is kb = 4. 3 × 10⁻¹⁰.

Hence, it follows that;

Ka = 10-¹⁴/4. 3 × 10⁻¹⁰.

Ka = 2.3 × 10⁻⁵.

On this note, the pH of aniline solution is;

pH = -log {2.3 × 10⁻⁵}

pH = 4.64.

Ultimately, the pH of the aniline solution given is; 4.64

Read more on pH of solutions;

brainly.com/question/25639733

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2 years ago

Suppose this photo were used by a political campaign to promote the person shown as a candidate for office. What does the photog

Orlov [11]

Answer:

A, D, E

Explanation:

You can't tell the other two options by the picture. Good luck on your assignment!! <3

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3 years ago

Calculate the enthalpy of the reaction 2no(g)+o2(g)→2no2(g) given the following reactions and enthalpies of formation: 12n2(g)+o

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2 years ago

What is the perimeter of the entire design? 46 cm 64 cm 108 cm 147 cm.

mixer [17]

Answer:

B: 64 cm

Explanation:

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2 years ago