Describe the relationship between complex and real numbers. Include a
comparison between algebraic and complex arithmetic operations (addition,
subtraction, multiplication, and division).

Answers

Answer 1

Answer:

Complex numbers often use the letter i (that is, they often have imaginary elements) while real numbers don't have any imaginary elements. Below are some examples:

Step-by-step explanation:

1+2i is an example of a complex number.

3a - 4b is an example of a real number.


Related Questions


What is the radius of these cylinders?

Answers

Answer:

sorryyyyy i really dont know

There are 42 more red marbles in a jar than there are white marbles. If there are 238 marbles in the jar, how many of them are red and how many are white?



Answers

Answer: red marbles = 140

White marbles = 98

Step-by-step explanation:

Let the number of white marbles be represented by x

Since there are 42 more red marbles in a jar than there are white marbles, red marbles will be: = x + 42

Since there are 238 marbles in the jar, this can be represented in an equation as:

x + x+42 = 238

2x + 42 = 238

2x = 238 - 42

2x = 196

x = 196/2

x = 98

White marbles = 98

Red marbles = x + 42

= 98 + 42

= 140

please help asap i will mark brainliest i need this now

Answers

just look at it and think hard. you got this you don't need to use brainly

*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO LINKS OR I WILL REPORT YOU!*

Calculate the IQR given the box plot below:

Reading Box Plots



A. 75


B. 25


C. 10


D. 50

Answers

Answer:

25

Step-by-step explanation:

I just did the same thing!!! LOL :) I hoped that helped

Answer:

c

Step-by-step explanation:

To find the iqr, you need to subtract 50 - 40. 50 - 40 = 10

GIVING BRAINLIEST!!!!!!!!!!!PLS HELP :((


In which step does a mistake First occur? 8+2+(3X 3-2)

Step1: 8+2+(3x1)
Step2: 8+2+3
Step3: 4+3
Step 4: 7

Answers

Answer:

step 2 he divded the 8 by 2

Step-by-step explanation:

There IS a mistake

8+2 is 10

so 10+3 is equal to 13

Help! I’m stuck please and ty

Answers

Answer:

-7

Step-by-step explanation:

They both are perpendicular lines. Which means that their slopes are opposite reciprocals.

Answer:

I believe that would be -1/7

Step-by-step explanation:

It's essentially going in reverse, you go -1 spot on the graph and up 7.

What is 1 + ( -2/3) - ( -9/2)

Answers

Answer

29/6  or 4 5/6

Step-by-step explanation:

1. Find a common denominator

2. Common denominator is 6   Remember - multiply by a - gives you a positive.

3. Rewrite 6/6 -4/6 +27/6

4. Add the numerators together to get 29

5. Answer is 29/6 or as a mixed number 4 5/6

I fly like paper get high like planes

Answers

Answer:

If you catch me at the border I got visas in my name

If you come around here, I make 'em all day

I get one done in a second if you wait

Step-by-step explanation:

HELPPPPPPPPPPPP PLZZZZZZZZZZZZ
NO LINKS PLEASE AND THANK YOU .

Answers

Let’s choose the first one, and do the proportions.

x/30 = 90/100
Cross multiply and you have
100x = (30)(90)
100x = 2700
x = 27

And the fourth one: multiply by the decimal equivalent of the percent.
90% = 90/100 = 0.9
0.9 x 30 = 27

You chose these because your “online tutor” finds them easiest to explain XD

Find the mean of the following numbers.
14, 17, 21, 28, 40

Answers

the mean should be 24
24

14 + 17 + 21 + 28 +40 / 5
120 / 5
24

Find the volume of the cylinder. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi radius 5 height 6

Answers

Answer:

150π cu. units

Step-by-step explanation:

V = Bh where B is the area of the circular base and h is the distance between the bases (height)

B = [tex]\pi r^{2}[/tex] = [tex]\pi 5^{2}[/tex] = 25π

V =  25π(6) = 150π cu. units

Answer: V = 471 m^3

In terms of PI - V = 150 π m^3

Step-by-step explanation:

V = πr2h

V = 3.14(5)^2(6)

V = 3.14(25)(6)

V = 471 M^3

or  

V = 3.14 (25)(6)

V = 150 π m^3

Ayudemen porfavor . Determine 4 ala potencia x + 4 ala potencia -x, si se sabe que 2ala potencia x + 2 ala potencia -x =3

Answers

Answer:

Es igual a 7.

Step-by-step explanation:

Ok, sabemos que:

[tex]2^x + 2^{-x} = 3[/tex]

Queremos calcular:

[tex]4^x + 4^{-x}[/tex]

Tambien sabemos que 4 = 2*2

Entonces:

[tex]4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}[/tex]

y sabemos que 2*2 = 2^2

Entonces:

[tex]4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}[/tex]

y ahora podemos usar la relación:

[tex](a^n)^m = (a^m)^n = a^{m*n}[/tex]

entonces:

[tex](2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2[/tex]

Ahora podemos completar cuadrados sumando y restando el termino:

[tex]2*(2^x)*(2^{-x})[/tex]

Asi tendremos:

[tex](2^x)^2 + (2^{-x})^2 = (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})[/tex]

Entonces de momento tenemos que:

[tex]4^x + 4^{-x} = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})[/tex]

Sabemos que el termino que esta dentro del parentesis es igual a 3.

Y tambien podemos usar la propiedad:

[tex]a^n*a^m = a^{n + m}[/tex]

en el termino de la derecha.

Asi tendremos:

[tex](2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)} = 9 - 2 = 7[/tex]

On a game show, a contestant randomly chooses an envelope and wins
the prize that is written inside. There are 3 envelopes containing a car,
5 envelopes containing a vacation, and 2 envelopes containing
electronics.
What is the probability that a contestant picks a vacation?

Answers

Answer:

D or 1/2

Step-by-step explanation:

If there are 3 envelopes for a car, 5 envelopes for vacation, and 2 envelopes for an electronic, then add 3+5+2=10. But, we are figuring out the vacation envelopes, which there are 5 of those and 5 is half of 10. Therefore, your answer is 1/2.

Tim buys a car for $7,500 and sells it for a profit of $1,000. How much did he sell it for?

Answers

Well, just add 1,000 to 7,500. You then get the answer, 8,500. To check, 8,500-7,500= 1,000.

If m1 = 31° and m2 = 94°, what is m3?

Answers

Answer:

27

Step-by-step explanation:

bc m1=31 and m2=29 you subtract 31-29and it is 27

1/8 plus 1/4 equals.

Answers

Answer:

3/8

Step-by-step explanation

Please just use a calculator

Answer:

0.375

Step-by-step explanation:

Find the value of (8^0+7^-1)x3^2

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

72x/7

Hope this Helped :T

(9x + 4) - (-5x2 - 5x + 7)

Answers

Answer:

44 I think

Step-by-step explanation:

i don't know I'm not too sure

What fraction does point S represent?

Answers

Answer:

C

Step-by-step explanation:

So what you gotta do is count the lines. You don't count the one with one on it, but you count all the way through to 2. That gets you eight, so each line is 1/8. 1-2 in 1/8 intervals. 1 1/4 multiply 2 on the numerator and denominator gets 1 2/8, 1 1/2 multiply 4 on the numerator and denominator gets you 1 4/8. Counting the lines, each of those matches up. The first interval is 1 1/8.

module six review and discussion-based assessment​

Answers

Answer:

okay what's your question?

Step-by-step explanation:

Answer:

whats the question

Step-by-step explanation:

a number y times fives is at most one hundred

Answers

Answer:

20

Step-by-step explanation:

twenty times five is one hundred, so, I hope that's the answer you're looking for

Answer:

y <= 20

Step-by-step explanation:

Since it says a number y, our variable is y.

The number is multiplied by 5 which gives us 5y.

It is at most one hundred which means this is an inequality. It is AT MOST which means that 100 is a possible value. This means that our inequality is:

5y <= 100

Now we divide both sides by 5 to isolate y

y <= 20

Austin graphed a system of linear equations as shown. What x -value represents the solution to the given system of linear equations?

Answers

Answer:

the answer is -2,4

Step-by-step explanation:

I had this question before and thats where the lines intersect

Write the equation of each line in slope intercept form

Answers

Y=0.75x + 3
Y=-4x + 4

Step-by-step explanation:

To Find :-

Equation in Slope Intercept Form .

Solution :-

The line passes through (0,2) , therefore ,

> y intercept = 2 .

And slope ,

> m = -0.75

Using slope Intercept Form ,

> y = mx + c

> y = - 0.75 x + 3

The area of a room is 425 square feet. The length is (x+9) feet and the width is (x+1) feet. Find the dimensions of the room.​

Answers

Answer:

width is 17

length is 25

Step-by-step explanation:

(x+9)(x+1) =[tex]x^{2}[/tex]  + 10x + 9 = 425

[tex]x^{2}[/tex]  + 10x - 416 = 0

(x-16)(x + 26) = 0

x = 16 or x = -26

x  cannot be -26

x = 16

so, (16 + 1) = 17

      (16 + 9) = 25

Eric is going to visit his grandmother, who lives about 250 miles away. He travels at
a speed of 55 miles per hour. About how many hours will it take him to get there.
Can someone explain please :)

Answers

Answer:

4.55 hours (rounded to the nearest tenth)

Step-by-step explanation:

If you take 250 and divide it by 55 you get 4.5454 repeating. Round to the nearest tenth and you get 4.55 hours.

I had to ask this again
Can someone help me please

Answers

Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.

y = x^2 + 2x

y = -3x + 6 so

x^2 + 2x = -3x + 6

x^2 + 5x - 6 = 0

(x + 6)(x - 1) = 0

So x = 1  ( we ignore the negative)

So after 1 week  they have saved the same amount  and the amount is -3 + 6 = 3.

Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!

Answer:

x=5

Step-by-step explanation:

35+4x=x^2+30

collect the like terms n form a quadratic equation

x^2-4x-5=0

solve the quadratic equation

x=5  or x=-1

ignore the negative answer bcz week cant be negative

So the answer is 5 weeks

The middle school band has a boy to girl ratio of 4:6.
The band had 20 members last year and 25 members this year.
How many girls and how many boys are in the band in each of these two years?

Last year: 8 boys and 12 girls. This year: 10 boys and 15 girls.
Last year: 12 boys and 8 girls. This year 13 boys and 12 girls
O

Last year: 8 boys and 12 girls. This year: 12 boys and 13 girls.

Last year: 12 boys and 8 girls. This year 15 boys and 10 girls

Answers

Answer:

last year 8 boys 12 girls and this year 10 boys 15 girls

Step-by-step explanation:

ratio = 4:6

total ratio = 6 +4 =10

last year

ratio 1 = 20 ÷ 10 = 2

boys = 2 × 4 = 8

girl = 2 × 6 = 12

this year

ratio 1 = 25 ÷ 10 = 2.5

boys = 2.5 × 4= 10

girls = 2.5 × 6 = 15

Im practicing for a state test im taking- i am a 7th grader doing 9th grade algebra because well yeah im smort- anyways- my teacher and all of us thought the answer was 40% but it wasnt she gave us the answer of 62.5%- she wants us to explain how she got that answer can anyone help me.

Answers

Answer:

62.5%

Step-by-step explanation:

the question is worded weirdly but basically since they're saying "given that a state does not use nuclear power", you can ignore the ones that do use nuclear power.

20 + 12 = 32

and then u have to find the percentage that do use coal (20). to do that all you have to do is divide then move the decimal place backwards 2 times

20 ÷ 32 = 0.625

62.5%

Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Answer:

64 cm²

Step-by-step explanation:

(12*4.5)+(2*5)= 54+10=64

Which has a higher cost of credit, a $12,000.00 loan for 3 years at 28.8% interest or a $24,000.00 loan for 3 years at 14.4% interest?

The cost of credit is the amount that a person pays over and above the amount borrowed.



P is the principal, r is the interest rate,
m is the number of monthly payments,
M is the monthly payment
A.
There is not enough information to calculate the cost of credit.
B.
A $24,000.00 loan for 3 years at 14.4% interest has a higher cost of credit.
C.
A $12,000.00 loan for 3 years at 28.8% interest has a higher cost of credit.

Answers

Answer:

B

Step-by-step explanation:

Other Questions
Nitrogen monoxide and hydrogen react to form nitrogen and water, like this: 2NO(g) 2H2(g) N2(g) 2H2O(g)Also, a chemist finds that at a certain temperature the equilibrium mixture of nitrogen monoxide, hydrogen, nitrogen, and water has the following composition:compoundpressure at equilibriumCalculate the value of the equilibrium constant Kp for this reaction. Round your answer to significant digits. Isabella went to the salon and was charged $72.60 for a cut and color. She added 20% to the cost as atip. If there is an 8% sales tax added to the original cost of the service, how much did she pay intotal?A. $87.12 B. $92.93C. $100.60D. 145.20 Can you guys help me with to kill the mockingbird essay? i dont wanna read it Have you ever heard the expression too much of a good thing"? Consider, for example, the fragrant water lily. This beautiful flowering plantgrows in lakes and ponds. Native to the eastern United States, the plant was introduced to some western states during the late 1800s. Thoughpeople in western states enjoy this nonnative plant', they are discovering that it can also be "too much of a good thing."The fragrant water lily has white or pink flowers that float on the surface of the water. The flowers are surrounded by large, round leavesthat are almost a foot in diameter. The leaves are attached to underwater stalks.in areas where it is not native, the plant can spread quickly. Whenthis happens the lilies can crowd out native plants. Eventually, the lilies may cover the entire surface of a lake. Then people can no longer use thelake for swimming, fishing, or boating. The crowded water lilies also affect the quality of the water. They can reduce the amount of oxygen in thewaterFor this reason, it is important to keep the spread of nonnative fragrant water lilies under control. In some areas, people manage the plantsby cutting them several times a year. Other methods for controlling water lilies include using fabric to block light from the plants. When properlymanaged, nonnative fragrant water lilies are a beautiful addition to lakes and ponds.nonnative plant a type of plant that is introduced to an area where the plant does not normally growWhich statement best describes the central idea of the passage?O 1. Fragrant water lilies are not native to the western United States.2. Fragrant water lilies can grow and spread quickly in lakes and ponds.03. Fragrant water lilies can cause problems in areas where they are not native.4. Fragrant water lilies have beautiful white or pink flowers and large, round leaves. The tradition of storytelling began withO A. photo essaysO B. oral historiesO c. digital storiesO D. written words how did the Mexicans feel about the Gadsden purchase Look at the chart in Image B. What does this chart show about the supply of books that became avaliablein Europe? What effects do you think this had in Europe? CREATIVE WRITING PROMPT FOR POINTS! NOT SCHOOL, just for fun !worth: 20 pt + brainliest to favourite Two challenges you may encounter as a student next year Marcie baked several pies. She used 4 cups of flour for the dough. How many pints of flour did she use?I have to turn this is Immediately please What is the area of the shape? Please please help!! ILIOwWhich energy transformation happens when the blades are spinning as shown?O Electrical to mechanicalO Chemical to electricalO Mechanical to electricalO Chemical to mechanical Is (3,11) a solution to the equation y= 5x-4 Giving brainliest" need helpWhat do Dodo Birds, Passenger Pigeons, Samson Pearly Muscles, and Badlands Bighorn Sheep have in common? You are given the following information. The current dollar/euro exchange rate is 1.25 dollars per euro. A U.S. basket that costs $100 would cost 64 euro in the euro area. For the next year, the Fed is predicted to keep U.S. inflation at 3% and the ECB is predicted to keep euro area inflation at 1%. The speed of convergence to absolute PPP is 15% per year.a. What is the current U.S. real exchange rate, with the euro area?b. How much is the dollar overvalued/undervalued?c. What do you predict the U.S. real exchange rate with the euro will be a year from now?d. What is the expected rate of real depreciation for the United States (versus the euro)?e. What is the expected U.S. minus euro area inflation differential for the coming year?f. What is the expected rate of nominal depreciation for the United States (versus the euro)? Critical Thinking QuestionsYou learned that there are many different programming languages, just like there are many different spoken languages throughout the world. And programming languages have certain syntax, or rules, they have to follow in order for the computer to understand the commands. Give one example of syntax for one of the programming languages listed in the unit. Then give two examples of syntax from a language you know. Describe what will happen if you do not follow these rules in your language.What are the four main components of programming languages, and why is each one needed?Give your own examples for how list and dictionary data structures could keep track of some common information you might need. Your examples should be different from the ones in the unit.Why would a programmer use a flowchart?Finish identifying the data types of each of the following pieces of data:TABLE Identify data typesData Data TypeHermione String13.5 -6 18 Mingle Lane False -20.4 Bonjour 12345 re write the star spangled banner meaning of the lyrics in a simple way Oh say can you see by the dawns early light?what so proudly we hailed at the twilights last gleaming?whose broad stripes and bright stars, thru the perilous fight.Oer the ramparts we watched were so gallantly streaming?And the rockets red glare, the bombs bursting in air,Gave proof through the night, that our flag was still there.Oh say does that star spangled banner yet wave.Oer the land of the free and the home of the brave. SpanishHow do you speak Spanish, any word will do... Justin Bieber is hiding from everyone in a tree. Somebody throws a rock at Justin trying to knock him out of the tree. An equation can be used to model the height of the rock after t seconds with an initial velocity of 12ft/secH= -16^2+12t+ 5In feet, how high can they throw the rock?(round to the nearest hundredth)