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
olganol [36]
3 years ago
14

Which of the following is the conjugate of a complex number with 2 as the real part and 7i as the imaginary part? (5 points)

Mathematics
1 answer:
lisov135 [29]3 years ago
6 0
The complex conjugate of <span>7i</span><span> is </span><span>−7i </span>The complex conjugate of a number 

z is a number with opposite imaginary part.

So if <span>z=a+bi</span> then conjugate is: <span><span>¯z</span>=a−bi</span> for any <span>a,b∈R</span>

We can note, that if we represent all complex numbers in coordinate system, then for any number: the number z and its conjugate <span>¯z</span> are symetrical according to "real part" axis.

You might be interested in
Find the equation in standard form if the solutions are x={3,-7}
Sever21 [200]

Answer:

x = -4

Step-by-step explanation:

x = 3 - 7

x = - (7 - 3)

x = -4

8 0
3 years ago
Which of the following describes the function x^3 − 8?
klemol [59]

Answer:

(A)

Step-by-step explanation:

A)The degree of the function is odd, so the ends of the graph continue in opposite directions. Because the leading coefficient is positive, the left side of the graph continues down the coordinate plane and the right side continues upward.

6 0
4 years ago
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $3.94 (U
tekilochka [14]

Answer:

a) 25

b) 49

c) 97

Step-by-step explanation:

The sample size is calculated using the formula, n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

Now,

for 95% confidence level value of z-factor = 1.96

Given:

Mean = $3.94

standard deviation = $0.25

thus,

a) for margin of error = $0.10

n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

or

n = (\frac{0.25\times1.96}{\textup{0.10}})^2

or

n = 4.9²

or

n = 24.01 ≈ 25               (Rounded off to next integer)

b) for margin of error = $0.07

n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

or

n = (\frac{0.25\times1.96}{\textup{0.07}})^2

or

n = 7²

or

n = 49

c) for margin of error = $0.05

n = (\frac{\sigma\times z}{\textup{Margin of error}})^2

or

n = (\frac{0.25\times1.96}{\textup{0.05}})^2

or

n = 9.8²

or

n = 96.04 ≈ 97               (Rounded off to next integer)

6 0
4 years ago
The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a par
adell [148]

Answer:gc

cdc dcd

Step-by-step explanation:

7 0
2 years ago
What is the solution to this system of equation?
lys-0071 [83]

Answer: x = 3, y = 3.

Step-by-step explanation:

The decision on a photo

8 0
3 years ago
Other questions:
  • Graph the relation. Is the relation a function? Why or why not? {(-5, 6), (-2, 3), (3, 2), (6, 4)}
    14·1 answer
  • What is the sum of 3.6 × 103 and 6.1 × 103?
    15·2 answers
  • Find the area of the figure.
    11·1 answer
  • How to do it and and explanation
    6·1 answer
  • Jacket is 125.000 tax is 5.5%
    5·2 answers
  • What is the conjugate <br> √8-√9​
    9·2 answers
  • What is y=-3x-2 in standard form?
    7·2 answers
  • Please help <br><br> y = x2 - 8x + 15
    12·1 answer
  • 50 points for two lucky people your welcome ;)
    5·2 answers
  • What is the domain of the absolute value function below?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!