1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stira [4]
3 years ago
11

Simplify i^12 A. -1 B. -i C. i D. 1

Mathematics
2 answers:
Serjik [45]3 years ago
7 0

Answer:

D

Step-by-step explanation:

bagirrra123 [75]3 years ago
4 0

Answer:

D. 1.

Step-by-step explanation:

We know that the powers of the imaginary constant, i, follow a certain pattern.

i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.

Every 4 powers, the result cycles back to the original i. This is because there are only 4 unique digits that result from raising i to various powers.

To figure a higher power, such as 12, we need to take the remainder of the power when divided by 4 (the amount of unique answers), to simplify it to the original 4 powers.

So when you have i^12 power, the remainder is 0. This is because 4 is a factor of 12. As a result, we can simplify this to i^8, and therefore i^4, which equals 1.

I hope this helps!

You might be interested in
One of the roots of the quadratic equation x^2−5mx+6m^2=0 is 36. Find the greatest possible value of the second root. 100PTS!!!
rosijanka [135]

Answer:

The greatest possible value is 54

Step-by-step explanation:

Solve the quadratic equation

Given

x² - 5mx + 6m² = 0

We can rewrite this as

x² - 3mx - 2mx + 6m² = 0

(x² - 3mx) - (2mx - 6m²) = 0

x(x - 3m) - 2m(x - 3m) = 0

(x - 2m)(x - 3m) = 0

x - 2m = 0 or x - 3m = 0

So,

x = 2m or x = 3m .

2m and 3m are the roots of the equation.

Since one of the roots is 36

Assume

2m = 36

m = 36/2 = 18

3m is

3(18) = 54

If 3m = 36

m = 12

And

2m = 2(12) = 24.

The greatest possible value is 54

7 0
3 years ago
Read 2 more answers
What is the value of a? <br> Answer options: 27.5, 90, 45, 50
Vikentia [17]

Answer:

90°

Step-by-step explanation:

Arc a subtends and angle of 45° to the circumference of the circle

We know that;

An angle subtended by an arc to the center of a circle is twice the angle subtended by the same chord to the center of the circle.

Therefore, if arc a subtends and angle of 45° to the circumference of the circle then;

a will be = 45 × 2

              =  90°

8 0
3 years ago
For homework, Brooke has 15 math problems, 5 social studies problems, and 9 science problems. Use mental math to determine how m
koban [17]

Answer:

29 homework problems

Addition Property was used

Step-by-step explanation:

15+5=20+9=29

Addition

8 0
3 years ago
The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation
balu736 [363]

Answer: 0.16

Step-by-step explanation:

Given that the run times provided are normally distributed ;

Mean(x) of distribution = 3 hours 50 minutes

Standard deviation(s) = 30 minutes

The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes

3 hours 20 minutes = (3 hrs 50 mins - 30 mins):

This is equivalent to :

[mean(x) - 1 standard deviation]

z 1 standard deviation within the mean = 0.84

z, 1 standard deviation outside the mean equals:

P(1 - z value , 1standard deviation within the mean)

1 - 0.8413 = 0.1587

= 0.16

7 0
3 years ago
Factor completely<br> m^2 — Зm — 18
lilavasa [31]

Answer:

(m + 3) (m - 6)

Step-by-step explanation:

Simplify the following:

m^2 - 3 m - 18

The factors of -18 that sum to -3 are 3 and -6. So, m^2 - 3 m - 18 = (m + 3) (m - 6):

Answer: |

| (m + 3) (m - 6)

4 0
3 years ago
Other questions:
  • Find the area of the following figure. Round to the nearest tenth
    8·2 answers
  • If EG=49, EF=2x+3, and FG=4x-2, find x. Then find EF and FG. Justify your work.
    10·1 answer
  • Tickets for admission to a high school football game cost $3 for students and $5 for adults. During 1 game, $2995 was collected
    10·1 answer
  • If Analissa puts 55 seeds into 11 pots, how many seeds does she put in 4 pots?
    7·2 answers
  • Solve each equation.<br> a. 6x + 4 = 34
    11·2 answers
  • Hai!! Can anyone help me? :D
    9·1 answer
  • Arrange the following whole numbers in increasing and decreasing order​
    12·1 answer
  • Teresa earns $8.23 per hour. Calculate her wage for a week where she<br> works 14h 30min.
    8·2 answers
  • Find the product of 5×8000=5× blank thousands = thousands
    6·1 answer
  • Shannon states that 7 5/8 - 5 1/3 = 2 4/5 because 7 - 5 = 2, 5- 1 = 4, and 8 - 3 = 5. First, state whether you agree or disagree
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!