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2 years ago

In which grade do kids generally start to prepare for SAT exams?

1 answer:

3 0

We suggest starting to prep for the the SAT as early as eighth grade year. It sound early, but if a student plans on taking the SAT several times throughout high school, eighth graders can take a relaxed and long-view approach to prepping, and can plan on taking their first SAT sophomore year.

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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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Mason ran 2/3 mile in 1/3 hours. What was nasons unit rate?

UkoKoshka [18]

2/3 miles

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1/3 hour

copy dot flip

2/3 * 3/1

2 miles per hour is the unit rate

Answer: 2 miles per hour

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3 years ago

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Which of the following are examples of aerobic exercise? Check all that apply. a swimming b running c push ups d lifting weights

tatuchka [14]

Answer:I think the answer would be running and swimming

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3 years ago

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In the lab, a student is investigating the effects of texting and driving on reaction time. A student determines his/her reactio

ch4aika [34]

18 m/ph would be the correct answer

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2 years ago

Which statement BEST summarizes how climate change can affect the mass migration of humans on Earth?

enot [183]

Answer:

A best summarizes how climate change can affect the mass of migration of humans on earth

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2 years ago