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
Sidana [21]
3 years ago
14

What Ln(z) is answer????!!

Mathematics
1 answer:
dimaraw [331]3 years ago
3 0

Write <em>z</em> in exponential form:

z=1-i=\sqrt2 e^{-i\frac\pi4}

Then taking the logarithm, we get

\mathrm{Ln}(z)=\ln(\sqrt2) + \ln e^{-i\frac\pi4} = \boxed{\ln(\sqrt2)-\dfrac\pi4i}

so a is the correct answer.

You might be interested in
Find the equation of the line that has a slope of a and a y-intercept of 1. ​
Stells [14]

Answer:

y=ax+1

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=ax+1

4 0
2 years ago
The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.
Dmitrij [34]
The relationship between wavelength and frequency is expressed by the equation λν=c where λ is the wavelength, v is the frequency and c is the speed of light which has a value of 3x10^8 m/s.

 λν=c
 λ(3 × 10^9)= 3x10^8
 λ = 0.1 m

Hope this answers the question.
7 0
3 years ago
Read 2 more answers
Z = 16ab <br><br>solve for a​
nikitadnepr [17]

Answer:

a=z/16b

Step-by-step explanation:

move it over a=z/16b hope this helps :D

8 0
2 years ago
A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei
ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is 576\ cm^{3}

Part 2) The total surface area of the paperweight is 400\ cm^{2}

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the square base

H is the height of the pyramid

B=8^{2}=64\ cm^{2}

H=3\ cm

substitute

V=\frac{1}{3}(64)(3)=64\ cm^{3}

step 2

Find the volume of the cube

The volume of the cube is equal to

V=b^{3}

V=8^{3}=512\ cm^{3}

step 3

Find the volume of the paperweight

64\ cm^{3}+512\ cm^{3}=576\ cm^{3}

Part 2) what is the total surface area of the paperweight?​

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

SA=5b^{2}

SA=5(8^{2})=320\ cm^{2}

step 2

Find the lateral area of the pyramid

LA=4[\frac{1}{2}bh]

LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}

step 3

Find the total surface area of the paperweight

320\ cm^{2}+80\ cm^{2}=400\ cm^{2}

8 0
3 years ago
Amy has 3 children, and she is expecting another baby soon. Her first three children are girls. What is the probability that the
Anton [14]
Obliviously 1/2.
If you roll a die and you get two times 3 the probability to get another 3 is always 1/6
6 0
3 years ago
Read 2 more answers
Other questions:
  • Lines s and t are perpendicular. If the slope of line s is -5, what is the slope of line ?
    7·2 answers
  • Don bought his car for $20,350. It is expected to depreciate an average of 11% each year during the first 5 years.
    10·2 answers
  • A cone shaped cup has a radius of 4 inches and a height of 6 inches. Which measurement is the closest to the volume in cubic inc
    12·1 answer
  • Please help me I’m so lost
    11·2 answers
  • Please help! Image Below
    10·1 answer
  • Find the sales tax. Then find the total cost of the item.
    9·2 answers
  • What is the answer? Please explain
    7·1 answer
  • The last answer is <br><br><br>&lt;1 and &lt;8<br>help me lol​
    6·1 answer
  • A rectangular swimming pool has a length of l yards and a width 5 yards less than its length. How much does it cost to border th
    13·1 answer
  • Calculate x you must include the steps and your solution and the definitions and or conjuncture that you use
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!