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Mathematics

1 answer:

DanielleElmas [232]3 years ago

6 0

The answer is B and D

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Using De-Moivre's theorem, prove that i^2= -1.

Novosadov [1.4K]

Write i in trigonometric form. Since |i| = 1 and arg(i) = π/2, we have

i = exp(i π/2) = cos(π/2) + i sin(π/2)

By DeMoivre's theorem,

i² = exp(i π/2)² = exp(i π) = cos(π) + i sin(π)

and it follows that i² = -1 since cos(π) = -1 and sin(π) = 0.

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3 years ago

I know the answer to 255.5 ➗ 7 but how would you write it out.. (I'm not smart)

Ainat [17]

There are several ways such as
255 $\frac{1}{2}$ / 7

First put it in the decimal equation
Since there is a decimal in the number being divided(255.5), you move the decimal so that it is a whole number(2555) but since you move the decimal place once, you do the same to the 7 so that it is now 70. So now it's 2555/70 which looks like 365 but then, you have to place the decimal value so that it is now 36.5
This is what you use to divide as shown.

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3 years ago

Which graph represents a function

larisa86 [58]

Answer:

the bottom right graph represents a single function.

Step-by-step explanation:

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3 years ago

If a person is given $1 and invests that $1 for 100 years at 5%, what amount would they be able to withdraw from this account af

Oksana_A [137]

in 100 years they will be able to withdraw $131.50

1(1.05)^100

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3 years ago

The formula for density is d = m/v,

Mekhanik [1.2K]

Answer:

Kg per cm

Kilograms per cubic meter

Step-by-step explanation:

This formula can be represented as something similar to miles per hour (or kilometers per hour). Looking at the fraction will eventually give you the distance for every hour once it its fully simplified.

Use this problem as an example. d=4/2 where 4 means kilograms and 2 means cubic meters. Once fully simplified to 2/1 you can say there is 2 kilograms per cubic meter which is considered your volume.

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3 years ago