All categories

3 years ago

Simplify the expressions. i^23

Mathematics

1 answer:

masha68 [24]3 years ago

8 0

Answer:

-i

Step-by-step explanation:

i^0=1

i^1=i

i^2=-1

i^3=-i

i^4=1

This repeats so we want to see how many 4 factors of i there is in i^(23) which is 5 with a remainder of 3.

So i^(23)=i^3=-i.

i^(23)=i^(5*4+3)=(i^4)^5 * (i^3)=(1)^5 * (-i)=1(-i)=-i.

You might be interested in

In a class of 23 student the girls were 7 more than the boys how many boys were in the class

Softa [21]

Answer:

x=# of boys

x+7=# of girls

x+x+7=25

2x+7=25

2x=25-7

2x=18

x=18/2

x=9 boys

x+7=16 girls

If you don't understand variables use trial and error.

Boys Girls

1 8

2 9

3 10

4 11

5 12

6 13

7 14

8 15

9 16 9+16=25 students

You could start this way...

Boys Girls

12 13

11 14

10 15

9 16 16 is 7 more than 9

5 0

3 years ago

If the unit price for watermelon is $0.24 per pound and Jared pays $1.68 for a watermelon, how many pounds does his watermelon w

Vanyuwa [196]

The watermelon weighs 7 pounds

Proof:

remove the decimal points then divide 168 by 24

168/24 = 7

The watermelon weighs 7 pounds

4 0

3 years ago

Read 2 more answers

5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability

Ksivusya [100]

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

<h3>What is meant by probability?</h3>

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ4

5 0

1 year ago

assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions

AfilCa [17]

Given:

Total number of questions = 6

Choice for each question (in MCQ) = 4

Assuming that no questions are left unanswered.

To find:

The total number ways to answer the quiz, assuming that no questions are left unanswered.

Solution:

Here, Number of ways to answer each question = 4

To find the total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.

Total number of ways to answer six-question quiz with 4-choice multiple choice questions is

$4\times 4\times 4\times 4\times 4\times 4=4096$

Therefore, the required number of ways is 4096.

3 0

3 years ago

A guest is traveling in a cab to reach his destination he traveled 8 blocks at a rate of 1.50$ per block what is his cab fee

babymother [125]

The cab fee is about 25:000

7 0

3 years ago