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atroni [7]
3 years ago
8

What is the conjugate of -2 + 8i

Mathematics
1 answer:
topjm [15]3 years ago
3 0

Answer:

-2 - 8i

Step-by-step explanation:

To find the conjugate of a complex number, change the sign of the imaginary part.

The conjugate of -2 + 8i is -2 - 8i.

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Which fraction correctly shows the probability of14 favorable outcomes and 37 possible outcomes?
zepelin [54]

Answer: 14/37

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production by 18%, how many dolls w
SCORPION-xisa [38]

Answer:

First, calculate 18% of 23.

23 x 0.18 = 4.14

Then, add this value (the increase) to the original value of 23.

23 + 4.14 = 27.14

Rounding off, we get 27.

Step-by-step explanation:

8 0
3 years ago
Given the system of inequalities:
Margaret [11]
Answer:
First inequality: y > \frac{4}{5} x - \frac{1}{5}
Second inequality: y < 3 + x

Explanation:
The inequality in slope-intercept form has the following general formula:
y < mx + c or y > mx + c (according to the given sign)
where m is the slope and c is the y-intercept

This means that to get any inequality in slope-intercept form, we will have to isolate the y on one side of the inequality.

First given inequality:
4x - 5y < 1
4x - 5y + 5y < 1 + 5y
1 + 5y > 4x
1 + 5y - 1 > 4x - 1
5y > 4x - 1
y > \frac{4}{5} x -  \frac{1}{5}
comparing this to the general form, we would find that:
slope (m) = 4/5
y-intercept (c) = 1/5

Second given inequality:
y - x < 3
y - x + x < 3 + x
y < 3 + x
comparing this to the general form, we would find that:
slope (m) = 1
y-intercept (c) = 3

Hope this helps :)
8 0
3 years ago
Read 2 more answers
In 2020, dawn earned $248,000. social security tax is 6.2% to a maximum income of $137,700. what was your monthly gross pay? in
Dovator [93]

Monthly gross pay is $20,666.67; Dawn reached the maximum taxable social security income in July; the amount of social security tax Dawn paid in February, July and November are $1,281.33, $849.42, and $0 respectively.

<h3>How do we calculate Social Security Tax?</h3>

Annual gross pay = $248,000

Monthly gross pay = $248,000 / 12 = $20,666.67

Maximum taxable social security income = $137,700

Social Security Tax Rate = 6.2%

Total Social Security Tax = Maximum social security income * Social Security Tax Rate = $137,700 * 6.2% = $8,537.40

Monthly Social Security Tax = Monthly gross earnings * Social Security Tax Rate = $20,667 * 6.2% = $1,281.33

Number of months Don reached the maximum taxable social security income = Maximum social security income / Monthly gross pay = $137,700 / $20,666.67 = 6.66 months

Since 6.66 months is greater than 6 but less than 7, this implies that the month Don reached the maximum taxable social security income is the 7th month which is July 2020.

Also, the 6.66 months imply that Dawn will fully pay his Total Social Security Tax in July.

Social security tax Dawn paid in February = Monthly Social Security Tax = $1,281.33

Social security tax Dawn paid in July = Total Social Security Tax - (Monthly Social Security Tax * 6) = $8,537.40 - ($1,281.33 * 6) = $849.42

Social security tax Dawn paid in November = $0

Note that $0 was paid in November because Dawn had already paid fully his Total Social Security Tax in July.

Learn more about Total Social Security Tax here: brainly.com/question/18268724.

#SPJ1

3 0
1 year ago
I need an answer asap!!
mart [117]

Answer:

y = -3/2x + b

Step-by-step explanation:

To find slope intercept you take the amount it goes up or down over the amount left of right, the 2 closest points i found were 0,3 and 2,0

so it goes down 3 (-3) and right 2 (2)

so y = -3/2x + b

b = wherever it intercepts the y axis (0,3)

y = -3/2x + b

-- Gage Millar, Algebra 1/2 tutor

7 0
3 years ago
Read 2 more answers
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