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
maksim [4K]
2 years ago
8

For any number n>1 is |(3/4+2/3i)^n|

Mathematics
1 answer:
sasho [114]2 years ago
6 0

The for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= \rm |(\dfrac{2}{3}+\dfrac{3}{4}i)^n|\\\\\\= \rm |(\dfrac{8+9i}{12})^n|\\\\\\= \rm |\dfrac{(8+9i)^n}{12^n}|\\\\

Here n>1

Plug n = 2

= \rm |\dfrac{(8+9i)^2}{12^2}|\\\\

= 145/144

= 1.0069

Which is greater than 1.

Thus, the for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

You might be interested in
Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a
mestny [16]
Fit Fast: a set feet per class => y = Ax

Stepping Up: a monthly fee plus an additioal fee per class => h = Bx + C

You can discard the second and the fourth systems because  they do not have the form established from the statement.

The first system produce an obvious result given that is represents an option that is always better than the other 5.5x will be lower than 7.5x + 10 for any positive value of x, and so there is no need to make any comparission.

The third system is

y = 7.5x and y = 5.5x + 10 which need to be solved to determine when one rate is more convenient than the other.

Answer: y = 7.5x and y = 5..5x + 10



4 0
3 years ago
Read 2 more answers
PLEASE HELP IMMEDIATELY
Paha777 [63]
The answer is g = 6w.

since the number of grey pigeons is 6 times the white pigeons, it means the white pigeons are being multiplied to find the number of grey pigeons
3 0
2 years ago
What is the distance between the points (3, 7) and (15, 16) on a coordinate
AysviL [449]

answer: a 13 units. its 13 units bc 13+3=16 soooooooooooo yeahhhhhhhh

6 0
3 years ago
The statement cot theta = 12/5, sec(theta) = - 13/5 and the terminal point determined by is in quadrant 2 ?
melomori [17]

Answer:

answer: A, cannot be true because cot ∅ is less than zero in quadrant 2.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Match the base and height to the volume of the prism.<br><br> B = 6 square units<br> h = 12 units
Finger [1]

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

--------------------------------------------------------------------------------------------------

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

--------------------------------------------------------------------------------------------------

D. a base area of 16y² square units and height of y² + y + 3 units

--------------------------------------------------------------------------------------------------

7 0
3 years ago
Read 2 more answers
Other questions:
  • The students in Darnel's grade voted to select a guest speaker. 20 students voted for a famous athlete. If there are 100 student
    10·1 answer
  • If there are three noncollinear points there is always one plane?
    14·1 answer
  • Solve. 10 = c/3 – 4 + c/6<br> Show steps
    13·1 answer
  • 4.) A concert charges $24.50 per daily adult ticket and $13.75 per child's ticket. A group of 90 people paid $1560.00 for ticket
    10·1 answer
  • How can you write 0.044 as a fraction
    12·1 answer
  • ?????????? I need help
    12·1 answer
  • Ruben bought 6 comic books for $21dollar , 21. Each comic book was the same price.
    13·2 answers
  • Help please i want help please
    13·1 answer
  • Laura was late to class 5 times in September. Each time she was late she missed 48 minutes of
    7·1 answer
  • Tammys desk had 7/12 grams of dust on it she wiped away 5/12 grams of the dust how many grams of dust are left on her desk write
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!