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11Alexandr11 [23.1K]
3 years ago
5

Find the product of the complex number and its conjugate. 1 + 2i

Mathematics
2 answers:
eduard3 years ago
4 0
The answer to this question is:


Find the product of the complex number and its conjugate. 1 + 2i ??<span>(1+2i)
(1-2i)=
1^2+2^2=
5

Hoped This Helped, Trevorhardy
Your Welcome :)</span>
leva [86]3 years ago
3 0

Answer:

5

Step-by-step explanation:

If a complex number is defined as a+bi, then its conjugate is defined as

\overline{z}=a-bi

and the product of the complex number and its conjugate is

z\overline{z}=(a+bi)(a-bi)=a^2+b^2

The given complex number is

z=1+2i

The conjugate of given number is

\overline{z}=1-2i

The product of the complex number and its conjugate is

(1+2i)(1-2i)=1^2+2^2=1+4=5

Therefore, the product of the complex number and its conjugate is 5.

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Answer:

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Step-by-step explanation:

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The exponential equation for population growth is given by:

P(t) = P(0)e^{kt}

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that P(0) = 100. So

P(t) = 100e^{kt}

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that P(60) = 450, and we use this to find k. So

450 = 100e^{60k}

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