Which operation involving complex numbers requires the use of a conjugate to be carried​ out?

Answers

Answer 1

Answer:

The correct answer will be "Division".

Step-by-step explanation:

The procedure represents numerous values requiring something like a conjugate to have been done becomes division, since the denominator conjugate multiplies the numeric values including its quotient to represent the quotient of several complex numbers throughout the standard language.It is indeed a method used to separate a set of items across equal proportions.

Related Questions

13 Water is pulled up from a well in a bucket on a rope. The rope winds on a cylindrical drum 15 cm in diameter. It takes 28 turns of the drum to pull the bucket up from the bottom of the well. How deep is the well? (Use the value 2 for m.)​

Answers

Multiply 15 by 28 and then times it by 13??

Select the correct answer from the drop-down menu. There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have .

Answers

Answer: The correct answer is no solution.

The required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.

Let the two unknown numbers be x and y;

The smaller number is x

The larger number is y

If one number is twice the other number, hence;

y = 2x ................. 1

Also, if the difference of the smaller number and half the larger number is 20, then:

x - y/2 = 20 .................. 2

Substitute the equation 1 into 2 to have:

x - (2x/2) = 20

x - x = 20

Hence the required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.

Learn more here; https://brainly.com/question/13805464

what is the period of the function F(x)=2sec(2x+3)

Answers

Answer:  π

Step-by-step explanation:

The standard form of a secant equation is: y = A sec(Bx - C) + D   where

A = AmplitudePeriod (P) = 2π/BC = Phase Shift D = vertical shift (also the center line)

Given: F(x) = 2 sec(2x + 3)

                               ↓

                             B=2

Period = 2π/B

           = 2π/2

           = π

7 liters of gasoline between their 4 cars. How many liters of gasoline should each car get?

Answers

Answer:

1.75 liters for each car.

Step-by-step explanation:

Divide:

*7 / 4 = 1.75.

Check:

*1.75 x 4 = 7.

1.75
7 divided by 4

10.5125 rounded to the nearest cent plz help me ty <3

Answers

Answer: your answer should be 10.5130

Step-by-step explanation:

The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx + b$. Find $m+b$.

Answers

Answer:

m = -1/2 and b = 6.5

Step-by-step explanation:

To find the slope of the original line segment, we have to do the change in y/the change in x:

(4-8)/(-5--3) = -4/-2 = 2

2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2

To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:

y = mx + b

8 = -1/2(-3) + b

8 = 3/2 + b

6.5 = b

If f(x) = 4x + 15, then f(-3) = ?

Answers

Answer:

[tex]\Huge \boxed{3}[/tex]

Step-by-step explanation:

The function is given :

f(x) = 4x + 15

For f(-3), the input for the function f(x) is -3.

Replace the x variable with -3.

f(-3) = 4(-3) + 15

Evaluate.

f(-3) = -12 + 15

f(-3) = 3

The output for f(-3) is 3.

Answer: f(-3) = 3

Step-by-step explanation: Notice that f is a function of x.

So we want to find f(-3).

We find f(-3) by plugging -3 in for x,

everywhere that x appears in the function.

So we have 4(-3) + 15.

4(-3) is -12 so we have -12 + 15 which is 3.

So f(-3) is 3.

Three friends are at a carnival. Beth goes on 2 rides for $5.00. Zane goes on 5 rides for $12How much does it cost Tina to go on 9 rides?.50.

Answers

Answer:

$22

Step-by-step explanation:

Beth=$5.00 for 2 rounds

Zane=$12 for 5 rounds

Tina=$x for 9 rounds

Find x

9 rounds=5 rounds + 2 rounds + 2 rounds

5 rounds costs =$12

2 rounds costs=$5

2 rounds costs=$5

Then,

5 rounds + 2 rounds + 2 rounds= $12 + $5 + $5

9 rounds=$22

It will cost Tina $22 to go on 9 rounds

38) Paula is making a pair of drapes for her dining room. Each of the four drapery panels, when completed, measures 8 feetlang by 4 feet wide. What is the total area of the four drapery panels?




pls help if I see a off topic answer or a silly joke I will report and make sure u get in trouble so do not joke around.​

Answers

Answer:

128 ft^2

Step-by-step explanation:

each drapery has an area of 8*4 feet^2 and there are four panes so the total area is 8*4*4= 128

Evaluate f(x) = 2|x – 5| for f(–5) and f(0).

Question 20 options:

f(–5) = –20, f(0) = –2

f(–5) = 20, f(0) = 10

f(–5) = 10, f(0) = 0

f(–5) = 12, f(0) = 5

Answers

Answer:

[tex]\Large \boxed{\mathrm{f(-5) = 20, \ f(0) = 10}}[/tex]

Step-by-step explanation:

The function is given:

f(x) = 2|x - 5|

Solve for f(-5).

x = -5

f(-5) = 2|-5 - 5|

f(-5) = 2|-10|

f(-5) = 2(10) = 20

Solve for f(0).

x = 0

f(-5) = 2|0 - 5|

f(-5) = 2|-5|

f(-5) = 2(5) = 10

I need help with this ASAP!
Find the area of the sector.

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{255}{360}[/tex]

   = π × 4² × [tex]\frac{17}{24}[/tex]

   = 16π × [tex]\frac{17}{24}[/tex]

   = [tex]\frac{16\pi (17)}{24}[/tex]

   = [tex]\frac{272\pi }{24}[/tex]

   = [tex]\frac{34\pi }{3}[/tex] mi² → C

Kate travels for 1 1/3hour to visit a friend
who lives 4 1/2 miles away. Martin travels 4 1/4
miles to visit his friend, and it takes him 1 1/5
hours. Who travels more miles per hour?

Answers

Answer:

Martin

Step-by-step explanation:

Calculate their speeds with the formula s = d/t (speed = distance/time)

Calculate Kate's speed:

s = d/t

s = 4.5/1.33

s = 3.375 mph

Calculate Martin's speed:

s = d/t

s = 4.25/1.2

s = 3.541 mph

So, Martin travels more miles per hour

Six times a number is greater than 20 more than that number

Answers

Answer:

4

Step-by-step explanation:

The answer is 4

Answer:

4

Step-by-step explanation:

4

Solve the equation for all values of x.
-x(x – 8)(x² + 25) = 0
From deltamath.com

Answers

Answer:

x=0   , x=8 , x = ±5i

Step-by-step explanation:

-x(x – 8)(x² + 25) = 0

Using the zero product property

-x =0   x-8 =0  x^2+25 =0

x =0    x= 8     x^2 = -25

x=0    x= 8    sqrt(x^2) = sqrt(-25)

                      x = ±5i

Haley is at the store buying some supplies for an art project. She decides to buy some colored pencils for $3.95 and a drawing tablet. The total cost of the supplies before sales tax is $6.94. What is the cost of the drawing tablet? $2.99 $1.76 $10.89 $3.01

Answers

Its $2.99 because 6.94-3.95=2.99 so $2.99

Answer:

$2.99

Step-by-step explanation:

To find the value of the drawing tablet, we can use the known total cost and the cost of the pencils.  Let's build an equation, where x represents the cost of the drawing tablet:

x + 3.95 = 6.94

Now let's solve the equation for x to find the cost of the tablet.

x + 3.95 = 6.94

x + 3.95 - 3.95 = 6.94 - 3.95

x = 2.99

So the cost of the drawing tablet is $2.99.

Cheers.

2) In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%. I) Find the weight of the wastage. II) Find the weight and percentage of rice cultivated. 3) If the area has been increased 40 times in size, how much rice will be cultivated (excluding the wastag

Answers

Answer:

Weight of wastage=179.775kg

weight of rice cultivated= 585.225 kg

percentage of rice cultivated=76.5%

Step-by-step explanation:

Area of land=100 square meters

Cultivated rice=765kg

Wastage=23.5%

1) Weight of the wastage=23.5% of 765kg

=23.5/100 × 765

=17977.5 / 100

=179.775 kg

2) Weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg

= 585.225 kg

percentage of rice cultivated = 100 - 23.5

= 76.5%

3) if area is increased 40 times in size

New area=1000 square meters × 40

=40,000 square meters

Cultivated rice= 765kg × 40

=30,600 kg

Cultivated rice excluding wastage=585.225 kg × 40

=23,409 kg

A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow. If the pointer is spun three times, find the probability it will land on green every time.

Answers

Answer:

The probability it will land on green every time is [tex]\frac{1}{27}[/tex].

Step-by-step explanation:

We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.

The pointer is spun three times.

As we know that the probability of an event is described as;

  Probability of an event =  [tex]\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}[/tex]

Here, the favorable outcome is that the spinner will land on green every time.

So, the number of green regions = 2

Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions

Now, the probability it will land on green every time is given by;

        Probability =  [tex]\frac{2}{6}\times \frac{2}{6}\times \frac{2}{6}[/tex]

                           =  [tex]\frac{1}{3}\times \frac{1}{3}\times \frac{1}{3}[/tex]

                           =  [tex]\frac{1}{27}[/tex]

Hence, the probability it will land on green every time is [tex]\frac{1}{27}[/tex].

Using the concept of probability, the probability of landing on green for all 3 spins is [tex] \frac{1}{27}[/tex]

Total number of portions = (3 + 2 + 1) = 6

Recall :

[tex] P = \frac{required \: outcome }{total \: possible \: outcomes}[/tex]

Probability of rolling green on a single spin :

[tex] P(green) = \frac{2}{6} = \frac{1}{3}[/tex]

Therefore, the probability of obtaining green on all spins :

[tex] P(3 green) = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}= \frac{1}{27}[/tex]

Learn more : https://brainly.com/question/15929089

PLS HELP I REALLY NEED IT

Answers

Answer:

x=9

Step-by-step explanation:

<B = <E  from the concurrency statement

5x = 45

Divide by 5

5x/5 = 45/5

x = 9

Answer:

Hey there!

These are similar triangles, and similar triangles have congruent angles.

Thus, we have 5x=45

Simplifying, we have x=9

Let me know if this helps :)

pls solve this as soon as possible

Answers

Answer:

x³ - y³ = 0

Step-by-step explanation:

Given : [tex]\frac{x}{y}+\frac{y}{x}=-1[/tex]

To Find : value of (x³ - y³)

Since, [tex]\frac{x}{y}+\frac{y}{x}=-1[/tex]

[tex]\frac{x^2+y^2}{xy}=-1[/tex]

x² + y² = -xy

x² + y² + xy = 0 -----(1)

Since, x³ - y³ = (x - y)(x² + xy + y²) [From the formula, (a³ - b³) = (a -b)(a²+ b² + ab)

                     = (x - y)(0) {From equation (1)]

                     = 0

Therefore, value of x³ - y³ = 0 will be the answer.

There are 67 bikes in the bike rack outside a school. Out of all the bikes, 33 are silver. Half of the remaining
bikes are red.
Estimate how many bikes are red.

Answers

Answer:

17

Step-by-step explanation:

67 minus 33 leaves 34 red bikes but divided that by half gives you 17

There are approximately 17 red bikes in the bike rack outside the school.

What is Algebra?

Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.

We can solve this problem by setting up an equation to represent the relationship between the number of bikes in the bike rack, the number of silver bikes, and the number of red bikes.

Let's define a variable, r, to represent the number of red bikes. We know that 33 bikes are silver, so the number of bikes that are not silver is 67 - 33 = 34 bikes.

Half of the remaining bikes are red, so we can say that there are r = 34/2 = 17 red bikes.

Therefore, there are approximately 17 red bikes in the bike rack outside the school.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

How many solutions does this system of inequalities have graphed below

Answers

Answer:

There is only one solution set.

Step-by-step explanation:

The set can contain any number of solutions or none.

This is all I know, hope it helps.

(I) Factorice completely

x³- 6x² + 11x-6​

Answers

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Factor [tex]x^3 - 6x^2 + 11x - 6[/tex]

[tex]x^3 - 6x^2 + 11x - 6[/tex]

= [tex]( x - 1) ( x - 2) ( x - 3)[/tex]

So you would be : [tex]( x - 1) ( x - 2) ( x - 3)[/tex]

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5. solve for x please help

Answers

Answer:

3x -1 =27

3x=28

x=28/3

answer is option 3

[tex]\\ \sf\longmapsto 3x-1=27[/tex]

[tex]\\ \sf\longmapsto 3x=27+1[/tex]

[tex]\\ \sf\longmapsto 3x=28[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{28}{3}[/tex]

Figure ABCD is a rectangle Find the value of x

Answers

Step-by-step explanation:

Since this is a rectangle these two equations for the length have to equal each other.

2x+4=7x-1

We now need to get all of the x's on one side and constant numbers on the other side.

add 1 to both sides and subtract 2x from both sides.

5=5x

divide 5 from both sides.

x=1

A lawn-mowing company is trying to grow its business. It had 18 clients when they started its business and wants to increase by 4 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.

Answers

Answer: y=18+4x

Step-by-step explanation:  Let y stand for the number of customers the business has in total, and x stand for the number of weeks that have passed. If the business increases by 4 clients per week as described by the scenario, then the range will go as followed: 18, 22, 26, 30...

MATT plans to put concrete on a regular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete that needs is $58.07.

Answers

THIS IS THE COMPLETE QUESTION BELOW;

Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?. . [1 foot = 12 inches; 1 yard = 3 feet]. a. 0.5 feet. b. 1.5 feet. c. 3 feet. d. 6 feet

Answer:

OPTION D is correct

d)6feet

Step by step Explanation:

We were given The price of concrete as $98 per cubic yard

Price= $98 /yrd³

But 1 foot = 12 inches

1 yard = 3 feet

Square both side we have,

Then 1yrd³ = 27 ft³.

So we can use this conversion factor to convert $98 /yrd³ to per ft³ as follows

$98 /yd³) ×(1 yrd³ / 27 ft³) = $ 98/27/ft³

If we denote the width of the portion as "y"

then the volume of the rectangular portion of the driveway =

= (8 ft) (1/3 ft) x = 8y/3 ft³

But we're given The total cost of the concrete Matt needs as $58.07,

Total cost = $58.07 = (8y/3)(98/27)

y= 5.99957 ft= 6feet

Therefore, the width of the portion of the driveway is 6feet

PLEASE HELP!!!
10. Write the formula of the function f(x) whose graph is shown.
A
f(x) = 4 - 4
х
B
f(x)=
1
= - +4
X
с
f(x) = 24
D
1
f(x) =
X +4

Answers

Step-by-step explanation:

c

help asap please. it's for a grade.​

Answers

answer:
788 cm^2
step-by-step explanation:
sa = 2(lw + lh + wh)
l = length w = width h = height
let’s do each one separately
first the pink one
length = 5 width = 6 height = 20
sa = 2(5(6) + 5(20) + 6(20))
sa = 2(30 + 100 + 120)
sa = 2(250)
sa = 500
now the purple
length = 6 width = 4 height = 12
sa = 2(6(4) + 6(12) + 4(12))
sa = 2(24 + 72 + 48)
sa = 2(144)
sa = 288
now add them
500 + 288
788 cm^2

Perimeter of a semi circle with a diameter of 3.5m​

Answers

Answer:

10.99

Step-by-step explanation:

c=[tex]\pi[/tex]d

c=3.14 x 3.5cm

c=10.99

$10,000 for 20 years at 5% compounded annually

Answers

Answer:

$26532.98

Step-by-step explanation:

Given:

Principal = $10000Profit rate = 5% PA compoundedTime = 20 yearsCompounds = 20*1 = 20

Sum is:

10000*(1 + 5/100)²⁰ ≈ 26532.98
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