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
Please ASAP
SIZIF [17.4K]
38. Is the answer. Go go go!
6 0
3 years ago
Read 2 more answers
Cube root -512 Simplify.
Lerok [7]
∛-512 = -8 . . . . . . . . . . matches the 3rd selection
8 0
3 years ago
Solve S=2(lw + lh + wh) for w
vovikov84 [41]
Dividing by 2, we have S/2=lw+lh+wh. After that, we subtract lh from both sides to get S/2-lh=lw+wh. Next, we divide both sides by w to get (S/2)/w=l+h. Next, we divide by S/2 to get 1/w=(l+h)/(S/2). Lastly, we multiply by w and divide by (l+h)/(S/2)  to get w=(S/2)/(l+h)
7 0
3 years ago
Read 2 more answers
According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?
olga2289 [7]

Answer:

D. It will increase by 1%.

Step-by-step explanation:

Given

u_1 = 5\% --- initial rate

u_2 = 3\% --- final rate

Required

The effect on the GDP

To calculate this, we make use of:

\frac{\triangle Y}{Y} = u_1 - 2\triangle u

This gives:

\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)

\frac{\triangle Y}{Y} = 5\% - 2(2\%)

\frac{\triangle Y}{Y} = 5\% - 4\%

\frac{\triangle Y}{Y} = 1\%

<em>This implies that the GDP will increase by 1%</em>

5 0
3 years ago
A cylinder and a cone each have a radius of 3 in. and a height of 8 in. What is the ratio of the volume of the cone to the volum
a_sh-v [17]
I think for this answer it would be the third option. This is because to find the volume of both figures, the formula would be v=bh. they both have the same formulas and are both in proportion to each other. once you calculate the volume you will come to find that the answer is the same. this would make it 1 to 1
5 0
3 years ago
Other questions:
  • What is the largest 3 digit number that is a number where the digit product is 504
    9·2 answers
  • How do you write in decimals eight and three tenths
    14·1 answer
  • 2. Michelle is at a farmer’s market. She sees a sign that says "6 apples for $4.32." She buys 9 apples and pays for them with a
    10·2 answers
  • Please help! Correct answers only please!
    7·1 answer
  • Please please help me
    5·2 answers
  • Which letters shown below on the number line also have their opposites labeled
    9·1 answer
  • Plz help 57.3 - 4.32 =
    13·1 answer
  • HELP THIS IS MY 2ND ATTEMPT
    13·1 answer
  • 5.37 + x =12.89 explanation please it’s two step equation
    13·2 answers
  • What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm​ long, 11 cm​ wide, and 9 cm​ tall
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!