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
AnnZ [28]
2 years ago
12

Which of the following is equivalent to the complex number i^5

Mathematics
1 answer:
ELEN [110]2 years ago
5 0

Answer:

i

Step-by-step explanation:

i = \sqrt{-1} ⇒ i² = (\sqrt{-1} )² = - 1 , then

i^{5}

= i² × i² × i

= - 1 × - 1 ×i

= 1 × i

= i

You might be interested in
Write an equation for a line perpendicular to y = − 4 x + 5 and passing through the point (-12,-4)
cupoosta [38]

Answer:

y=\frac{1}{4} x-1.

Step-by-step explanation:

1) if the lines are perpendicular, then the second slop is 0.25;

2) the equation of the 2d line is y=0.25x+i, where i - unknown intercept;

3) it is possible to calculate the unknown intercept, if to substitute the given coordinates into the equation y=0.25x+i:

-4=-12*0.25+i; ⇔ i=-1.

4) finally, the required equation is:

y=\frac{1}{4} x-1.

3 0
2 years ago
This is pretty easy :0
maksim [4K]

Answer:

1, 1.5, -1 1/5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the length of Line segment M N?<br><br> 58 cm<br> 75 cm<br> 88 cm<br> 116 cm
wlad13 [49]

Answer:

MN=58\ cm

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

In this problem

M is the mid-point segment AB

N is the mid-point segment BC

so

Applying the Midpoint Theorem

MN is parallel to AC

MN=\frac{1}{2}AC

we have that

AC=116\ cm ---> given problem

substitute

MN=\frac{1}{2}(116)

MN=58\ cm

5 0
3 years ago
Read 2 more answers
What is the simplest form of the ratio 18b^2 to 45b
Svetradugi [14.3K]
Treat it like a fraction
18b^2/45b
divide top and bottom by b
18b/45
divide top and bottom by 3
6b/15
divide top and bottom by 3 again
2b/5
2b:5 is the simpliest form of the ratio
7 0
4 years ago
Dayton writes the expression n2+4n+1 for the number of squares used to make the nth figure in the pattern shown. Drag statements
mixer [17]

well that took alot of guesses...

5 0
3 years ago
Other questions:
  • What is the value of the expression?
    6·1 answer
  • In Lesson 3.05 we discussed comparing the key features of two functions given in different forms. Given the functions below:
    9·1 answer
  • Factor completely, the expression: 2x^3-2x^2-12x
    6·1 answer
  • A movie rental company offers two plans for its customers. The digital movie plan costs $3 per movie and no monthly fee. The DVD
    13·1 answer
  • ANSWER QUICK PLEASE examine the diagram
    10·1 answer
  • Find S5 for a geometric series for which a1=81 and r=1/9.
    8·1 answer
  • PLZ HELP ME
    11·1 answer
  • Question 2 Mr. Smith is buying two types of gift cards to give as prizes to employees at a company picnic. He will buy restauran
    7·1 answer
  • What is the ratio of the amount of time she spent practicing the piano to the amount of time spent doing homework to the amount
    15·1 answer
  • A rectangular garden measures by 30ft and 40ft. Surrounding (and bordering) the garden is a path 3ft wide. Find the area of this
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!