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
yaroslaw [1]
3 years ago
6

What is the simplified form of i^13

Mathematics
1 answer:
Nikitich [7]3 years ago
4 0

Answer:

i

Step-by-step explanation:

\begin{array}{lclcr}i^{1} & = &(\sqrt{-1})^{1}&=& i\\i^{2} & = & (\sqrt{-1})^{2}& =&-1\\i^{3} & = & (\sqrt{-1})^{3}&=&-i\\i^{4} & = & (\sqrt{-1})^{4}& = &1\\\end{array}

Multiplying by i repeats the pattern .

Thus, any i⁴ⁿ = 1

If n = 3, 4n = 12, so

i¹² = 1 and

i¹³ = i¹ = i

You might be interested in
I don’t know this please help..
nekit [7.7K]

Answer:

The surface area would be 28 square feet.

Step-by-step explanation:

To solve this, input the values for each of the variables every time you see it. l = length, w = width and h = height.

SA = 2lw + 2hw + 2hl

SA = 2(2)(1) + 2(4)(1) + 2(4)(2)

SA = 4 + 8 + 16

SA = 28

5 0
3 years ago
!= Question Help
Amiraneli [1.4K]

Answer:

This month you spent $60

50     x

__ = __

1      1.2

120% of 50 would be 60.

8 0
3 years ago
Help me pleaseguy3gkyubhukydihuxcgh asdi09adsvbgaxi90 bvsaia9
Masteriza [31]
The first one

Y=1/2x+10
6 0
2 years ago
Read 2 more answers
A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of​ protein, 2 units of​ carbo
vovangra [49]

Answer:

See explanation

Step-by-step explanation:

Each ounce of fruit will supply

  • 1 unit of​ protein,
  • 2 units of​ carbohydrates,
  • 1 unit of fat.

Each ounce of nuts will supply

  • 1 unit of​ protein,
  • 1 unit of​ carbohydrates,
  • 1 unit of fat.

Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package.

Then x ounces of fruit will supply

  • x units of​ protein,
  • 2x units of​ carbohydrates,
  • x units of fat

and y ounces of nuts will supply

  • y units of​ protein,
  • y units of​ carbohydrates,
  • y units of fat.

Every package must provide

  • at least 7 units of​ protein, then x+y≥7,
  • at least 11 units of​ carbohydrates, then 2x+y≥11,
  • and no more than 10 units of fat, then x+y≤10.

A. You get the system of three inequalities

\left\{\begin{array}{l}x+y\ge 7\\ 2x+y\ge 11\\x+y\le 10\end{array}\right.

B. See attached diagram

\begin{array}{cccc}&\text{Protein}&\text{Carbohydrates}&\text{Fat}\\\text{Fruit}&x&2x&x\\\text{Nuts}&y&y&y\\&\text{at least 7}&\text{at least 11}&\text{no more than 10}\end{array}

7 0
3 years ago
What is the best approximation for the circumference of a circle with a radius of 125 m?
miskamm [114]
Forumla for circumference is
pi x diameter
or
 pi x 2 x radius
so we are going to use the second formula to estimate the answer without a calculator.
3 x 2 x 125
3 x 2 =6
6 x 125 = 750.
the closest answer is 785m. That is the answer.
5 0
4 years ago
Read 2 more answers
Other questions:
  • What is 19/20 as a terminating decimal?
    11·2 answers
  • Suppose the u.s. president wants to form a special panel to study the national energy crisis and make recommendations. he will p
    14·1 answer
  • What is the simplified form of the following expression 3 4x/5
    8·1 answer
  • Write a rule for the nth term of the arithmetic sequence. d=2, a12=18. Please explain!
    15·2 answers
  • At what value(s) of x does f(x) = –x^4+2x^2 have a critical point where the graph changes from decreasing to increasing?
    15·1 answer
  • Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work
    13·1 answer
  • Please help me?!!!!! I need help asap
    12·2 answers
  • the admission fee at a small fair is $1.50 for children and $4.00 for adults. on a certain day, $5,050 is collected. if $1,00 ad
    7·1 answer
  • Find the area of a polygon and show step by step explanation pls
    9·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS OR WILL BE REPORTED
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!