Competitive admission is mostly used by

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8 0

Admission for which applications are reviewed based on academic performance, completion of rigorous coursework, and extracurricular activities. Those accepted either meet thresholds for these criteria or stand out from fellow applicants in one or more of these criteria. Competitive admission is usually used by four-year colleges.

Kruka [31]3 years ago

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standardized test scores APEX

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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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Penalties for your first DUI conviction include

avanturin [10]

Answer: A conviction for a first-time DUI offense inside the country of Florida could cost you as much as $1,000, up to 6 months in jail, the possibility of losing your driver's licenses for up to six months, and fifty hours of community service.

Explanation:

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2 years ago

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Because stalin feared western capitalist expansion, he

mote1985 [20]

Because Stalin feared Western capitalist expansion, he refused to allow free elections in Eastern Europe.

<h3>What is Capitalism?</h3>

This refers to the economic system where businesses are allowed to thrive in a free market system with the main aim of making a profit.

Hence, we can see that based on the difference in ideology between America and the Soviet Union; capitalism and communism, Joseph Stalin refused to allow free elections in Eastern Europe for a fear of capitalist expansion.