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ValentinkaMS [17]
2 years ago
6

Value of complex number i^7+1/i^4​

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
7 0

i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2  \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1

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Someone help me please
Mazyrski [523]

Answer:

x = -7

Step-by-step explanation:

The whole line is 12

the whole line is also   x + 14  and  x + 12

  so make them equal:

      x+14     +      x +12     = 12  

       2x   + 26   = 12        now subtract 26 from both sides

               2x = - 14           now divide both sides by 2

                 x = -7

5 0
1 year ago
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A one day trip to new york, mary spent $6.25 for breakfast and 8.95 for lunch. She can spend no more than an average of $8.50. H
zysi [14]

Mary spent $10.30 on dinner to stay in budget.

Step-by-step explanation:

Amount spent on breakfast = $6.25

Amount spent on lunch = $8.95

Amount spent on dinner = x

Average = $8.50

Average = \frac{Sum\ of\ values}{No.\ of\ values}

8.50 = \frac{6.25+8.95+x}{3}\\8.50=\frac{15.20+x}{3}

Multiplying both sides by 3

8.50*3=\frac{15.20+x}{3}*3\\25.50=15.20+x\\25.50-15.20=x\\x=10.30

Mary spent $10.30 on dinner to stay in budget.

Keywords: Average, addition

Learn more about addition at:

  • brainly.com/question/4694425
  • brainly.com/question/4695279

#LearnwithBrainly

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3 years ago
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nika2105 [10]
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3 years ago
When Riley goes bowling, her scores are normally distributed with a mean of 160 and
e-lub [12.9K]

Answer:

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 160, standard deviation of 13.

Middle 68% of the scores of all the games that Riley bowls.

Within 1 standard deviation of the mean, so:

160 - 13 = 147.

160 + 13 = 173.

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

6 0
2 years ago
Help ASAP Science/ Math..... Bill and Amy want to ride their bikes from their neighborhood to school which is 14,400 meters away
Oksana_A [137]

Answer:

Amy is 1200 seconds fater than Bill.

Step-by-step explanation:

4 0
3 years ago
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