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Whitepunk [10]
3 years ago
14

Which of the following is the conjugate of a complex number with 5 as the real part and −2 as the imaginary part?

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0

Hello!

Given two real numbers "a" and "b", the complex number z is defined as:

The complex conjugate of "Z = a + bi" is "Z = a – bi"

Given the complex number Z = a - bi, "a" is called the real part and "b" the imaginary part.

Therefore:

Re(a) = 5

Im(b) = -2

z = a - bi

z = 5 - (-2)i

\boxed{\boxed{z = 5 + 2i}}\end{array}}\qquad\checkmark

Answer: 

a. 5 + 2i

__________________________

I Hope this helps, greetings ... DexteR! =)

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Jana ran the first 3 and a half miles of a 5 mile race in 1 3rd of an hour. what was her average rate, in mph, for the first par
Lisa [10]

Answer:

always try to draw a diagram first

Step-by-step explanation:

Jana ran The first 3.5 miles in 1/3 of an hour. remember the problem tells us that we want our answer in miles per hour or mph. so we have to set up our problem so that our units match in the end. The diagram above shows 3.5 mi over 1/3 hour. so we must divide 3.5 miles by 1/3 hour

note:

3 \frac{1}{2} mi =  \frac{7mi}{2}

therefore

\frac{7mi}{2}  \:  \div  \:  \frac{1hr}{3}  =

\frac{7mi}{2}  \times  \frac{3}{1hr}  =  \frac{21mi}{2hr}  = 10 \frac{1}{2}  \frac{mi}{hr}

7 0
3 years ago
Find the output, h, when the input, x, is -18 <br><br>h=17+x/6
Elis [28]

Answer:

h=14

Step-by-step explanation:

h=17+x/6

x=-18

h=17+-18/6

h=17+-3

h=17-3

h=14

If this has helped you please mark as brainliest

5 0
3 years ago
A mouse climbs up a well of 86 meters. It advances 14 meters during the night, but during the day it retreats 2. The mouse will
Deffense [45]

Step-by-step explanation:

we assume day and night are equally long.

and the mouse will start at night of day 1.

then, on day 2, it will first retreat 2 meters (during daylight) and then advance 14 meters (at night).

so, on every full day, the mouse will effectively advance 12 meters (-2 + 14 = 12).

with a starting value of 14 (the first night).

so, we are getting an arithmetic sequence

an = an-1 + c

c = 12 in our case.

a1 = 14

a2 = a1 + 12 = 14+12 = 26

a3 = a2 + 12 = a1 + 12 + 12 = 14 + 2×12 = 38

an = a1 + (n-1)×12 = 14 + 12(n-1)

at what n will it reach 86 ?

86 = 14 + 12(n-1) = 14 + 12n - 12 = 2 + 12n

84 = 12n

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7 0
2 years ago
What’s the equivalent of 16 million
kaheart [24]

Answer:

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You may also use the money for a sharing program, such as the 16-million-dollar bike sharing program in Los Angeles. It would be a great advancement in the people's mobility. This will give more liberty to public spaces.

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NNADVOKAT [17]

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And, 5/6 is pretty much likely to happen. (around 80% or so)

5 0
2 years ago
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