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Nataly [62]
3 years ago
5

The Greek letter iota, i, represents the square root of -1 (). We call i an imaginary unit. Any number that is a product of a re

al number and the imaginary unit i is called an imaginary number. Complex numbers are numbers that consist of a real part and an imaginary part. They are generally expressed as a + bi. In this task, you will find a pattern relating to the powers of i and also discover some identities involving complex numbers.
Use the identity i2 = -1 to compute the powers of i and complete the table.
Mathematics
2 answers:
Nikitich [7]3 years ago
6 0

HELP MEhdffjdjdndjdjudjxjfjdi
Nadusha1986 [10]3 years ago
4 0

Happy New Year from MrBillDoesMath!

Answer:

 i ^ (2n) = (i^2)^n = (-1)^n = -1 if n is odd and = 1 if n is even

 i ^ (2n+1) = i^(2n)* i =     -1 * i = -i if n is odd and =  1*i = i if n is even


Not sure if this answers your question but hopefully pushes you n the right direction.


Thank you,

MrB

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Ashwin helps paint a square mural in his classroom. Then he helps paint a mural in the hallway whose length is 7 feet longer and
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Ashwin paints 2 murals:

  1. A square mural in his classroom
  2. A mural in the hallway with length 7 feet longer and width 3 feet shorter

Also, x indicates the side length of the mural in the classroom. Since the classroom mural is square in shape, the length and breadth of the mural would be x.

Part A: Expression to represents the two binomials to be multiplied to find the area of the hallway mural

Area of the hallway mural = Length of the hallway mural × Breadth of the hallway mural

So Length of the hallway mural = Length of the classroom mural + 7

⇒ Length of the hallway mural = x + 7

Breadth of the hallway mural = Breadth of the classroom mural - 3

⇒ Breadth of the hallway mural = x - 3

Hence, x + 7 and x - 3 need to be multiplied to determine the area of the mural

Part B: Area of the hallway mural

Area of the hallway mural = Length of the hallway mural × Breadth of the hallway mural

⇒ Area of the hallway mural = (x + 7) × (x-3)

⇒ Area of the hallway mural = x² + 7x - 3x - 21

⇒ Area of the hallway mural = x² + 4x - 21

Part C: Area of the hallway mural if each side of the classroom mural is 8 foot long

Putting the value x = 8 in the answer of Part B

⇒ Area of the hallway mural = 8² + 4×8 - 21

⇒ Area of the hallway mural = 64 + 4×8 - 21

⇒ Area of the hallway mural = 64 + 32 - 21

⇒ Area of the hallway mural = 75 square feet


3 0
3 years ago
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Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others. From this definition,

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For sample 2, Every tenth name in the phone. This is also not biased

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Answer:

22.5

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Answer:

La altura de Juan por lo tanto es de 1.6 metros de altura

Step-by-step explanation:

Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:

Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.

Supongamos que x es la altura de juan que tenemos que calcular.

La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:

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x=1.6 metros

La altura de Juan por lo tanto es de 1.6 metros de altura

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