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3 years ago

WILL MARK AS BRAINLIEST IF CORRECT!!!!!

SAT

1 answer:

FrozenT [24]3 years ago

7 0

Answer:

A) 2700

Explanation:

Given:

Total number of votes is 7500

20% of the votes are invalid

80% of the votes are valid

55% of the total of valid votes were given to one of the candidates.

45% of the total of valid votes were given to the other candidate.

80% of 7500 = 6000

20% of 7500 = 1500

Let's check to see if we are correct!

6000 + 1500 = 7500

Seems like we are correct! Now, let's do the other part.

55% of 6000 = 3300

45% of 6000 = 2700

Let's check to see if we are correct!

3300 + 2700 = 6000

We are correct again! Seems like the person who got 45% of the candidates who gave valid votes got 2700! There is our answer!

Hope I helped! <3

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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

3 years ago

Read 2 more answers

All of the following are important things one should do during a lecture except

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Answer:

I think letter B is the answer

Explanation:

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Carefully read sources a through d, including the introductory information for each source. Compose a thesis statement that addr

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Explanation:

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2 years ago

two objects, x and y, accelerate from rest with the same constant acceleration. object x accelerates for twice the time as objec

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Answer:

X has travelled 4 times as far as Y

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Explanation:

Because x=1/2at²(get rid of the first portion of x=vt+1/2at² because initial v is 0 which multiplies to 0). If the acceleration is set to for example 10 (keep this constant for both X and Y) and we use t=1 and t=2 for time (as the time travelled of X is twice that of Y). Plugging this into the equation, at t=1, x=4. At t=2, x=20. 20 is four times greater than 5, so X has travelled 4 times as far as Y.

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The questions on a test consist of 10 multiple choices, 3 essays, and 9 free responses. If the questions are ordered randomly, w

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To find the probability of the first question being a free response, you first need to find the total number of questions. This can be done by adding together all of the given information. There are 10 multiple choice, 3 essays, and 9 free responses.

10 + 3 + 9 = 22

This means that there are 22 total questions. Next, find how many of these questions are free-response. We know that there are 9 free responses and 22 questions in total. So, 9 out of 22 are free responses. This can be rewritten as 9/22.

If you want to find the percentage, simplify the fraction and convert it to a percentage.

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Then, move the decimal 2 places to the right. This gives you 40.9%, which is the probability of the first question being a free-response.

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