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Ne4ueva [31]
3 years ago
6

Write -2i + (9 − 3i) − (6 − 10i) as a complex number in standard form.

Mathematics
2 answers:
vovikov84 [41]3 years ago
8 0

Answer:

5i+3

Step-by-step explanation:

Given the expression

-2i + (9 − 3i) − (6 − 10i)

Where i² = -1 (complex number rule)

Therefore,

-2i + 9-3i-6+10i

Collecting like terms gives

5i+3

Vika [28.1K]3 years ago
6 0
<span>-2i + (9 − 3i) − (6 − 10i)
-2i - 3i + 10i + 9 - 6
5i + 3
3 + 5i</span>
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Find the equation of a line perpendicular to y-3x=-8 that passes through the point (3,2). Answer in slope-intercept form
Zielflug [23.3K]
Y - 3x = -8
y = 3x - 8...slope here is 3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/3.

y = mx + b
slope(m) = -1/3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b

so ur perpendicular equation is : y = -1/3x + 3
8 0
3 years ago
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As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular
spayn [35]

Answer:

10 milligrams of Medication A

Step-by-step explanation:

We'll write proportions/ratios for this:

20:16 is the usual proportion, and x:8 is this week's dose. The ratio from A to B has to be equal, so

20/16 = x/8

Cross-multiply:

(20)(8) = (16)(x)

160 = 16x

divide both sides by 16

x = 10

Please let me know if you have questions about this answer.

5 0
3 years ago
Below is the five-number summary for 144 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of
bearhunter [10]

Answer:

The IQR is given by:

IQR = Q_3 -Q_1 = 28-18= 10

If we want to find any possible outliers we can use the following formulas for the limits:

Lower= Q_1 - 1.5 IQR

Upper= Q_3 + 1.5 IQR

And if we find the lower limt we got:

Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3

Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43

So then the left boundary for this case would be 3 days

Step-by-step explanation:

For this case we have the following 5 number summary from the data of 144 values:

Minimum: 9 days

Q1: 18 days

Median: 21 days

Q3: 28 days

Maximum: 56 days

The IQR is given by:

IQR = Q_3 -Q_1 = 28-18= 10

If we want to find any possible outliers we can use the following formulas for the limits:

Lower= Q_1 - 1.5 IQR

Upper= Q_3 + 1.5 IQR

And if we find the lower limt we got:

Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3

Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43

So then the left boundary for this case would be 3 days

6 0
3 years ago
Please help my sister needs to turn this in soon
alexandr402 [8]

Answer:

11,059

Step-by-step explanation:

If you take the combined elevation (18,152) and subtract the elevation of Snowy Mountain (7,093), you should get 11,059.

7 0
3 years ago
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Phil has two rectangular prisms. The height of the second prism is 1/2 times the height of the first prism. The lengths and widt
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The volume of the second prism is also ten times the volume of the first prism.

Let's assume that both prisms have:

width = 3 units

height = 4 units

Prism 1 length = 5 units

Prism 2 length = 50 units

Let's solve their respective volumes to compare...

Volume of prism 1 = length * width * height

                             = 5 * 3 * 4

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Volume of prism 2 = 50 * 3 * 4

                             = 600 units ^3

Prism 2/ prism 1 = 10

That means prism 2 is ten times the volume of prism 1.

6 0
3 years ago
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