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lana66690 [7]
3 years ago
9

Simplify the complex expression (3+2i) + (-4+6i)

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0
(3 + 2i) + (-4 + 6i)

Get rid of the parenthesis.

3 + 2i - 4 + 6i

Note how we got rid of the (+) sign in +(-4). We do this because a negative times a positive is always going to be a negative.

Combine like terms.

(2i + 6i) + (3 - 4)

Simplify.

8i - 1

~Hope I helped!~
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12 the answer is 12 I know it
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Evaluate each expression if a = 4.1, b = 5.7, and c=0.3.<br> 4. a+b-c <br> 5. 10-(a+b)<br> 6. B- c+2
posledela

Answer:

  • a+b-c = 9.5
  • 10-(a+b) = 0.2
  • b-c+2 = 7.4

Step-by-step explanation:

4)

Given the expression

a+b-c

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

a+b-c = 4.1+5.7-0.3

          =  9.8 - 0.3

          = 9.5

5)

Given the expression

10-(a+b)

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

10-(a+b) = 10 - (4.1+5.7)

              = 10 - 9.8

              = 0.2

6)

Given the expression

b-c+2

  • a=4.1
  • b=5.7
  • c=0.3

substituting the values in the expression

b-c+2 = 5.7 - 0.3 +2

          = 5.4 + 2

           = 7.4

7 0
3 years ago
All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca
lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that \mu = 82, \sigma = 4.5

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{92 - 82}{4.5}

Z = 2.22

Z = 2.22 has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0
3 years ago
Question
nika2105 [10]

Answer:

y = -1

Step-by-step explanation:

(y+1)/(x-8) = (-1+1)/(-2-8)

(y+1)/(x-8) = 0

y+1 =0

y= -1

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3 years ago
HELP ASAP PLEASE!!!!!
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Answer:

option 4

Step-by-step explanation:

5 0
3 years ago
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