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3 years ago

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Mathematics

1 answer:

Temka [501]3 years ago

3 0

Answer:

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Step-by-step explanation:

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Two parallel lines are crossed by a transversal.

Alja [10]

I think x= 65 I hope this helped

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3 years ago

Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the

monitta

Answer: $1.663\times 10^{30}\ gm$

Step-by-step explanation:

Given

Population of dust particle doubles every 30 minutes

If the initial sample is 21 grams

The model to predict the population will be

$\Rightarrow P=21\cdot 2^{2t}$

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

$\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm$

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3 years ago

Explain and demonstrate the multiplication of complex conjugates using 2+3i and its complex conjugate. Be sure to discuss all st

krok68 [10]

The product of a complex number and its conjugate is (a + i b) · (a - i b), where a and b are real numbers, and the result for the complex number 2 + i 3 is 13.

<h3>What is the multiplication of a complex number and its conjugate</h3>

Let be a complex number a + i b, whose conjugate is a - i b. Where a and b are real numbers. The product of these two numbers is:

(a + i b) · (a - i b)

Then, we proceed to obtain the result by some algebraic handling:

a · (a + i b) + (- i b) · (a + i b)

a² + i a · b - i a · b - i² b²

a² - i² b²

a² + b²

If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:

$z\cdot \bar z = 2^{2} + 3^{2}$

$z\cdot \bar z = 13$

To learn more on complex numbers: brainly.com/question/10251853

#SPJ1

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2 years ago

Students are planning a 3 day hiking trip in the mountains. The hike covers a distance of 18.5 kilometers. The students hike 0.2

Fudgin [204]

The students will hike 9.11 KM on day three.

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3 years ago

Read 2 more answers

Square root of -19 in terms of i

yulyashka [42]

Answer:

i√19

Step-by-step explanation:

Because √(-19) = √(-1)√19, and because √(-1) = i, we get i√19

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3 years ago