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adell [148]
3 years ago
11

Simplify the expression i⁸²

Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

We can use a trick here. Let's look at the first few exponents of i to realize this:

i^0 = 1

i^1 = i

i^2= -1

i^3 = -i

i^4 = 1

i^5 = i

i^6 = -1

i^7 = -i

we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.

Step-by-step explanation:

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2: Write out a system of equations that has infinite solutions. Explain why it has infinite
Rasek [7]

Answer:

Below!

Explanation:

A system of equations with infinite solutions defines that both the equations are identical and are overlapping when the lines are graphed. An example could be y = 5x + 9 and y = 5x + 9. These sets of equations have infinite solutions because they are the same and when graphed, they overlap.

Hoped this helped!

4 0
2 years ago
If you see a triangle that has a small box in one angle, what type of triangle is it?
timofeeve [1]

Answer:

right triangle

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
3m - (m^2 + n); if m = 2 and n 19
deff fn [24]

Answer:

- ( 17 )

Step-by-step explanation:

m = 2

n = 19

m^2

= 2^2

= 2 x 2

= 4

3m

= 3 x 2

= 6

3m - ( m^2 + n )

= 3m - ( m^2 + n )

= 6 - ( 4 + 19 )

= 6 - 23

= - ( 17 )

8 0
2 years ago
Read 2 more answers
I need help please?
Natali [406]

The Outcome of event A and B is simply the intersection of both sets written as A ∩ B is; C: {seagull, crow}

<h3>How to write sets notation?</h3>

From the image, we are given the animals namely; Pig, Penguin, Seagull, Tiger, Crow, Bat, Mosquito.

Now, these animals are classified as either a bird or can fly.

Animals that are birds are; Penguin, Seagull, Crow

Animals that can fly are; Seagull, Crow, Bat, Mosquito.

Now, we are told that;

Event A is the animal is a bird. Thus, the set notation that represents this event A is written as;

A = {Penguin, Seagull, Crow}

Event B is that the animal can fly and again the set notation that represents event B is written as;

B = {Seagull, Crow, Bat, Mosquito}

Now, Outcome of event A and B is simply the intersection of both sets. Thus; A ∩ B = {seagull, crow}

Read more about Set Notation at; brainly.com/question/24462379

#SPJ1

7 0
1 year ago
Aren’t all of these answer chooses correct?
ivanzaharov [21]

Answer:

A beach in the next war with a friend of a friend of a

4 0
2 years ago
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