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
Dominik [7]
4 years ago
8

12) What is the pattern used for evaluating higher powers of i?

Mathematics
1 answer:
Anastasy [175]4 years ago
7 0

Answer:

i^0 = 1

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

This pattern repeats itself over and over again. If it is a large exponent, divide the exponent by 4. Then, apply that remainder to the rule explained above

EXAMPLE: i^207

207/4 = 51 remainder 3.

i^3 is -i,

so i^207 = -i

hope this is what you were looking for

You might be interested in
A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). write the equation of the pa
Lorico [155]

The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

<h3>What is a Parabola ?</h3>

A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.

(x-h)² = 4a(y-k)

It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).

Therefore
(x -2)² = 4a(y +2)

The parabola passes through the point (3,-1)

(3-2)² = 4*a(-1+2)

1 = 4 a

a = 1/4

The equation of the parabola is

(x-2)² = (y+2)

Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

To know more about Parabola

brainly.com/question/4074088

#SPJ1

8 0
2 years ago
Y = -1/3x + 5<br> X = -3
Rufina [12.5K]

Answer:

Y=6

Step-by-step explanation:

What it means is that the x is -3, so you take the -3 and plug it into the x.

Y=-1/3(-3)+5.

Y=1+5

Y=6 is your answer.

3 0
3 years ago
Read 2 more answers
"what is the speed of 70.0 miles per hour in kilometers"
gavmur [86]
70 Miles per Hour =112.65408 Kilometers per Hour
There are 1.60934 kilometers in a mile
6 0
3 years ago
Question 8 options:<br><br> h = 24<br><br><br> h = -2<br><br><br> h = 10<br><br><br> h = -24
Murljashka [212]
H is -24, -24/6=-4 so the H equals -24
6 0
3 years ago
The total scores on the Medical College Admission Test (MCAT) in 2013 follow a Normal distribution with mean 25.3 and standard d
Elden [556K]
In a normal distribution, the median is the same as the mean (25.3). The first quartile is the value of Q_1 such that

\mathbb P(X

You have

\mathbb P(X

For the standard normal distribution, the first quartile is about z\approx-0.6745, and by symmetry the third quartile would be z\approx0.6745. In terms of the MCAT score distribution, these values are

\dfrac{Q_1-25.3}{6.5}=-0.6745\implies Q_1\approx20.9
\dfrac{Q_3-25.3}{6.5}=0.6745\implies Q_3\approx29.7

The interquartile range (IQR) is just the difference between the two quartiles, so the IQR is about 8.8.

The central 80% of the scores have z-scores \pm z such that

\mathbb P(-z

That leaves 10% on either side of this range, which means

\underbrace{\mathbb P(-z

You have

\mathbb P(Z

Converting to MCAT scores,

-1.2816=\dfrac{x_{\text{low}}-25.3}{6.5}\implies x_{\text{low}}\approx17.0
1.2816=\dfrac{x_{\text{high}}-25.3}{6.5}\implies x_{\text{high}}\approx33.6

So the interval that contains the central 80% is (17.0,33.6) (give or take).
7 0
3 years ago
Other questions:
  • Let x stand for the number of calories in each individual snack. 25 snacks are sampled at a time. The population mean is 95 calo
    5·1 answer
  • 8<br><br> Base = _______________<br><br> Exponents = ________________
    5·2 answers
  • Mack is repackaging 6/8 pound bags of birdseed into 1 pound bags of birdseed. What is the least number of 6/8 pound bags of bird
    14·1 answer
  • What is 300,000x10^33
    9·1 answer
  • Is anyone good at Simplifying Radical Expressions?
    5·1 answer
  • Someone plss help plss helppp plllsss Will mark brainliestSomeone plss help plss helppp plllsss Will mark brainliestSomeone plss
    12·1 answer
  • Pre-calc, Which statement correctly uses limits to determine a vertical asymptote of _____ (image attached)
    15·1 answer
  • Please help me fast!!
    9·1 answer
  • The product of 3 and 12<br> what is the expression?
    14·2 answers
  • What is the measure (in radians) of central angle in the circle below?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!