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
kondaur [170]
2 years ago
13

What is the conjugate? See image below! Please help asap

Mathematics
1 answer:
Stolb23 [73]2 years ago
4 0

9514 1404 393

Answer:

  • 2 +3i
  • 8 -i√5
  • 7 +2i
  • 4 +√7

Step-by-step explanation:

The conjugate is found by changing the sign of the square root term.‡ (For this purpose, i = √-1.)

a) the sign of 3i is changed: 2 + 3i

b) the sign of sqrt(-5) is changed: 8 -sqrt(-5) = 8 -i√5

c) the sign of 2i is changed: 7 +2i

d) the sign of sqrt(7) is changed: 4 +√7

_____

‡ Actually, the conjugate of a binomial is formed by changing the sign <em>between</em> terms. The purpose is to allow the product of the binomial and its conjugate to be the difference of squares.

Conventionally, the conjugate of a complex number is the value with the sign of the imaginary part reversed. That is why (-2i+7)* = 7+2i.

You might be interested in
The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.10
Salsk061 [2.6K]

For the bell-shaped graph of the normal distribution of weights of Hershey kisses, the area under the curve is 1, the value of the median and mode both is 4.5338 G and the value of variance is 0.0108.

In the given question,

The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G.

We have to find the answer of many question we solve the question one by one.

From the question;

Mean(μ) = 4.5338 G

Standard Deviation(σ) = 0.1039 G

(a) We have to find for the bell-shaped graph of the normal distribution of weights of Hershey kisses what is the area under the curve.

As we know that when the mean is 0 and a standard deviation is 1 then it is known as normal distribution.

So area under the bell shaped curve will be

\int\limits^{\infty}_{-\infty} {f(x)} \, dx= 1

This shows that that the total area of under the curve.

(b) We have to find the median.

In the normal distribution mean, median both are same. So the value of median equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of median is also 4.5338 G.

(c) We have to find the mode.

In the normal distribution mean, mode both are same. So the value of mode equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of mode is also 4.5338 G.

(d) we have to find the value of variance.

The value of variance is equal to the square of standard deviation.

So Variance = (0.1039)^2

Variance = 0.0108

Hence, the value of variance is 0.0108.

To learn more about normally distribution link is here

brainly.com/question/15103234

#SPJ1

3 0
11 months ago
PLZ HELP! WILL GIVE BRAINIEST!!
Anna [14]

Answer:

i think its c idk if im wrong im sorry

Step-by-step explanation:

6 0
3 years ago
Pay no attention to the stuff I wrote please
pychu [463]
What's your question?
7 0
3 years ago
Please answer! It would be appreciated if work is also shown!
borishaifa [10]

Quantity of paint left = \frac{389}{480} gallons

Solution:

Quantity of yellow paint = 1\frac{1}{5}=\frac{6}{5} gallons

Quantity of green paint = 1\frac{1}{6}=\frac{7}{6} gallons

Quantity of blue paint = \frac{7}{8} gallons

Quantity of paint used = \frac{3}{4} gallons of each paint

Quantity of paint left = 1-\frac{3}{4}=\frac{1}{4} gallons of each paint

Quantity of paint left = (\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}

Taking LCM for 5, 6, 8, we get LCM = 120

(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}=(\frac{144}{120}+\frac{140}{120}+\frac{105}{120})\times\frac{1}{4}

                         =(\frac{389}{120})\times\frac{1}{4}

                         =\frac{389}{480}

Hence, Mark will have \frac{389}{480} gallons of paint left after painting the mural.

3 0
3 years ago
The slope of (-4, 7), (-6,-4)
MrMuchimi

Answer:

5.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the surface area of a cone with a base of 34 feet and a slant height of 12 feet?
    7·1 answer
  • Which equation represents a circle with the same center as
    12·2 answers
  • Evan’s family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 m
    9·2 answers
  • When simplified, (2x + 3)(7x – 1) + (2x – 4) is:
    12·1 answer
  • Find the distance between -3 and 4. A) -12 eliminate b) -7 c) -1 d) 7
    15·1 answer
  • A small cube with side length 6y is placed inside a larger cube with side length 4x^2. What is the difference in the volume of t
    14·2 answers
  • Please help!! i’ll mark you as brainliest!!
    6·1 answer
  • What’s the answer???
    11·1 answer
  • Is it or not pls I need help
    10·1 answer
  • Type your answer into the box,
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!