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
vagabundo [1.1K]
3 years ago
5

What is (1-i)^3 Please explain how you got that

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

\bf (1-i)^3\implies ~\hfill \begin{array}{cccccccl} 1^3&+&3(1)^2(-i)^1&+&3(1)^1(i)^2&+&(-i)^3\\\\ 1&+&(-3i)&+&(3i^2)&+&(-i^3)\\\\ 1&-&3i&+&3i^2&-&i^3 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{let's recall that}}{i^2=-1\qquad \qquad i^3=-i} \\\\[-0.35em] ~\dotfill\\\\ 1-3i+3(-1)-(-i)\implies 1-3i-3+i\implies -2-2i

You might be interested in
A painter earns $15 per hour.What is the minimum number of hours he must work to earn at least $200?
umka21 [38]

Let's represent h with the number of hours:

15h ≥ 200

h ≥ 200/15

h ≥ 40/3

h ≥ 13 1/3

He has to work at least 13 1/3 hours.

4 0
3 years ago
joe and Kristin are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tanger
Dmitriy789 [7]
I’m just trying to ask a question
6 0
3 years ago
How tall is the tree?<br> 5ft<br> 35°<br> -20ft-<br> [? ]ft
SVEN [57.7K]

Answer:

  • \boxed{\bf 19ft}

Step-by-step explanation:

\bf tan\:\theta =\cfrac{opp}{adj}

\bf tan(35^o)=\cfrac{x}{20}

\bf 20\;tan (35^o)=x

\bf 14ft=x

<u>The height of the tree:-</u>

  • \bf x+5ft
  • \bf 14ft+5ft
  • \bf 19ft
3 0
2 years ago
Read 2 more answers
ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices o
Vera_Pavlovna [14]

Answer:

A) (-3, 3) B) (-1, 1) C) (-2, 3)

Step-by-step explanation:

3 0
3 years ago
How much will it cost to paint the treasure chest below? A pint of paint can cover 5 ft2 and costs $4.50. You do not need to pai
Vaselesa [24]

Answer:

I saw people trolling your answer here is the answer! I am sorry what people are doing to you!

There is a rectangle and a cylinder

5ft cost 4.50

Area is 643

Now

643x4.5

Answer:

Around 2893.5

5 0
3 years ago
Other questions:
  • Find the first of three consecutive even integers if the sum of the first and second is 15 less than 3 times the third.
    5·1 answer
  • Between 2004 and 2005, oil production in Australia fell from 731,000 to 537,500 barrels per day. What was the percentage decreas
    8·1 answer
  • Find the surface area of square pyramid someone help
    13·1 answer
  • Can someone plz help me
    9·1 answer
  • Find the measure of angle 1
    6·1 answer
  • 1. Kevin jogged 5.2 miles each day for 18 days last month. How many miles did she jog last month?
    9·1 answer
  • Mom used 1/2 package of pepperoni putting an equal amount on each of the three pizza she made what fration of the package of pep
    8·1 answer
  • Garlan works in a shoe store and earns a commission for every dollar's worth of shoes
    7·1 answer
  • The ordered pairs (t, 36), (5, 45) represent a proportional relationship. Find the value of t.
    12·2 answers
  • Can anybody help me with this? it’s probably simple but i don’t understand it
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!