Mathematics Middle School

(2-9i)+(-2+7i) complex numbers simplify

Answers

Answer 1

it would be -2i if you simplified it

Answer 2

[tex] (2-9i)+(-2+7i)=-2i [/tex]

Related Questions

Identifying the Factored Form of a Trinomial Which expression is the factored form of x2 – 7x + 10?

Answers

let's call x^2: a; -7x: b; and 10:c
So what I do in this case:
when the number squared does not have a coefficient in front, I ask myself, what does A times C equal
the answer is 10 --> now what factors of ten, add up to -7 (the factors can be negative and/or positive)
the answer is -2 and -5
so with this, you do: (x-2)(x-5)
there's your answer, i hope that makes sense

use the graph of y=sin0 to find the value of sin 0 for each value of 0 270°. answers -0.4, -0.8, -0.6, -1 please help ASAP

Answers

we have that
y=sin O
for O=270°
find the value of sin O

we know that
270 degrees --------> convert to radians-------> is equal to 3pi/2

using a graph tool
see the attached figure

the value of sin O for O=3pi/2 is -1

the answer is
-1

Refer to the image, the 270 degrees corresponds to 3/2 pi.

Based on the graph, the value of sin(270) is -1.

So, the answer is -1.

One leg of a 45 - 45 - 90 triangle measures 12 centimeters what is the length of the hypotenuse

Answers

The angles of the triangle are given as to have measures of 45°-45°-90°. This entails that the triangle is an isosceles triangle where the 2 legs of the triangle are of equal length. We calculate as follows:

c² = a² + b²

c² = 2a²

4² = 2a²

a = 2√2

Hope this answers the question.

Hello!

Since this triangle is what I like to call a "45er", and both legs of a 45er are equal, we can now apply the Pythagorean Theorem to find the measure of the hypotenuse.

[tex]12^2 + 12^2 = c^2 144 + 144 = 288 \sqrt{288} = 16.9 [/tex] (Rounded)

Your answer is 16.9. Round this to 17 if the question is looking for a whole number. :)

Lori is buying a roll of wrapping paper. There are 10 birthday designs, 6 holiday designs, 3 wedding designs, and 5 baby designs. How many ways can Lori choose a roll of wrapping paper? A. 900 B. 300 C. 34 D. 24

Answers

Answer:

D. 24

Step-by-step explanation:

10 + 6 + 3 + 5 = 24

Answer:

Step-by-step explanation:

plz help 1:There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The remaining people read for an average of 35 minutes each day.

What was the average reading time for the entire book club each day?

Enter your answer in the box.

2:At the karate school, Class A has 8 students with an average age of 6 years. Class B has 12 students with an average age of 9 years. The classes combine for a group workout.

What is the average age of the combined classes?

Enter your answer as a decimal in the box.

3:Last year the sales at a bookstore were 75% fiction books, and 25% nonfiction books.

The average cost of a fiction book was $15. The average cost of a nonfiction book was $16.

What was the average cost of all fiction and non-fiction books sold at the bookstore last year?

Enter your answer as a decimal in the box.

4: At a tennis event, 10% of

Answers

#1) 55
#2) 7.8
#3) $15.25

For #1,
(65(10)+35(5))/15 = 825/15 = 55

For #2,
(8(6)+12(9))/20 = 156/20 = 7.8

For #3,
0.75(15)+0.25(16) = 15.25

I know the first question answer is 55 i did the test. hope this helps :)

Which of the following situations most likely result in a negative correlation when the data is displayed on a scatterplot?

Answers

I am pretty sure that the answer is a because the rest of them show a positive correlation. And one of hem just scatters.
Hope this kinda helps.

A pet store had 4 cats to feed. If they only had one fifth of a bag of cat food and each cat got the same amount, what fraction of the bag would each cat get?

Answers

Each cat would get 1/20 of the whole bag of cat food.

4 cats and 1/5 of a bag
When dividing fractions you could turn the fraction into a decimal or Keep Change Flip

Decimal: .2 divided by 4 = .05
KCF: 1/5 x 1/4 = 1/20

The answer is 1/20 or .05

Ellie is a 45-year-old woman who has not yet planned for retirement. She would like to retire at age 67. Answer each question using complete sentences.

Part I: In what type of investments should Ellie deposit her money? Why?
Part II: At what age, or point in your life, would you like to start saving for retirement?
Part III: In what type of investments would you like to deposit your money into when you start saving for retirement? Why?

Answers

i. Exchange traded funds (ETFs) equally distributed among the US stock fund, a US bond fund, an international stock fund, and an international bond fund. This is because ETFs provides diversification and low expenses.

ii.The perfect time to start saving is as soon as you have a full-time job. If the employer has a tax deferred investment plan, and if the employer matches some of your investment then you'll be ready to get extra benefits.

iii. I'd put my investments in ETFs equally distributed among a US stock fund, an international fund, a US bond fund and an international bond fund. This reduces expenses through diversification.

A kennel has 100 dogs in total, some are puppies and some are adult dogs. the ratio of puppies to adults in a kennel is 1:4 how many puppies are there

Answers

Puppies : Adults = 1 : 4

Total parts = 1 + 4 = 5

5 parts = 100 dogs
1 part = 100 ÷ 5 = 20 dogs

Answer: 20 puppies

Final answer:

The number of puppies in the kennel is 20, given that the ratio of puppies to adult dogs is 1:4 out of a total of 100 dogs.

Explanation:

In the given scenario, the number of dogs in the kennel is 100, and the ratio of puppies to adult dogs is 1:4. This means that for every one puppy, there are four adult dogs. Therefore, the total number of sections we have is 1 (for puppies) + 4 (for adult dogs), which equals 5. To find out how many puppies there are, we divide the total number of dogs by the total sections, and multiply by the number of sections for puppies. Therefore, the calculation would be as follows:

Divide the total number of dogs (100) by the total sections (5):
This gives us 20 dogs per section. Multiply this by the number of sections for puppies (1):
This gives us 20 puppies in the kennel.

Learn more about Ratio here:

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Ana helped her mom this weekend. She earned $25. On Monday she purchased snacks for herself and her friends and spent $6.50. On Tuesday she purchased comic books and a flashlight at Target for $15.25. She then purchased a drink for $3.25.
How much money does she have left? Explain.

Answers

Hi there!

In order to figure out how much Ana has left, let's first figure out how much she spend. We'll add together 6.50 + 15.25 + 3.25, which equals 25. Then, we'll subtract the amount she spent from the amount she earned. 25 - 25 = 0 Therefore, Ana has no money left.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

she as $0 left

hope this helps

The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2. Find: Surface area of the pyramid

Answers

Surface Area (SA) = Base Area (Ab) + Lateral Area (AL)

Base Area = 36cm^2
Lateral Face Area = 48cm^2

*If this is a quadrilateral pyramid, then it has 4 lateral faces, so just multiply the "one" lateral face by 4.

Lateral Area (AL) = 4 x Lateral Face Area
-> AL = 4 x 48 = 192 cm^2

So:

SA = Ab + AL
-> SA = 36 + 192
-> Surface Area = 228 cm^2

Answer:

228

Step-by-step explanation:

Find the unknown. = (65 × 3) + 9

Answers

( 65 x 3) + 9

65 x 3 = 193 add 9
202 should be your answer

PLEASE HELP ASAP I GIVE BRAINLIESTS!!!!!!

Answers

-0.4=-2/5
-7.32=-7 8/25
_
0.2=1/5
I don't know if the last one is correct but the other two are.

Alright here we go.

Number 8= -2/5

Number 9 = -18.3/25

Number 10 = 1/5 ?

Number 8 = Divide -0.4 by 1 to get the fraction of -0.4/1 and multiply both sides by 5 to get simplified of -2/5.

Number 9 = Divide by 10 to get -7.32/10 and multiply by 100 to get -732/1000. Then divide both sides by 40 to get -18.3/25.

Number 10 = Might be right or wrong but since it's 0.2, this simplifies to 2/10, which equals 1/5.

Hope this helps.

How do you find the area of this compound shape?

Answers

break the shape into 2 different ones, there is a triangle on top and a half circle on the bottom:

the radius of the circle is 3 yards, so the diameter would be 6 yards diameter = 2 x radius)

the diameter of the circle is also the base of the triangle.
the height f the triangle is 5 yards formula for area of a triangle is 1/2 x b x h

so you have 1/2 x 6 x 5 = 15 square yards

the area for a circle is PI x r^2
so you have 3.14 x 3^2 = 28.26 for the full circle so divide this by 2 for the half circle:
area of half circle = 28.26 / 2 = 14.13 square yards
now add the area of the triangle and half circle together:

14.13 + 15 = 29.13 square yards

There are 24 students 8 of the students are boys write the amount of boys in the class as a fraction in its simplest form

Answers

8/24=1/3
1/3 is your answer

Because there are 8 boys out of 24, you'd put the 8 over the 24 in a fraction: 8/24. "Simplest form" means to reduce the fraction as much as you can. 8/24 can be reduced to 1/3 because 8 is 1/3 of 24.

So the answer is 1/3.
Hope this helps!

Drag the numbers to the boxes to order them from least to greatest value.

Answers

it will be
.9,0,2,√5,47/14
the square root of five is 2.23 and when you convert 45/14 to a decimal it is 3.35 which in this case is the greatest value which makes .9 the smallest or in this case the least

Rewrite this logarithm as a subtraction of logs

Log4(13/37)

Answers

[tex]Use:\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log_4\dfrac{13}{37}=\log_413-\log_437[/tex]

A rectangle with opposite sides that are not congruent

Answers

Is not a rectangle. A rectangle is a rectangle BECAUSE it's opposite sides are congruent.

the answer is parallelogram

A fisherman borrowed 85,000 over 25 years at 13.5% p.a. interest compounded monthly. At the end of the seventh year, interest rate climbed to 15% p.a. compound and fisherman's repayments were increased to allow him to complete the repayments by the end of 25 years term.

a. how much did the fisherman owe at the end of the first 7 years?
b. what were his monthly repayments for remaining 18 years?
c. how much interests in total did the fisherman pay at the end of the 25 years long.

Answers

Amount borrowed, A1 = 85,000
Rate, i, for the first 7 years = 13.5% = 0.135
Rate, i, for the remaining 18 years = 15% = 0.15

Part (a): Amount owed after 7 years
Without interest rate, monthly payment, Po= 85,000/(12*25) = 283.33
After 7 years, principal amount remaining = 85,000 - (283.33*7*12) = 61,200.

Therefore, the amount owed after 7 years, A2 = 61,200

Part (b): Monthly repayment for the rest of 18 years
Rate, i = 15% = 0.15

Monthly payment, P(18) = A1*D2
D2 = {0.15/12}/{1-(1+0.15/12)^-12*25} = 0.01281

Then,
P(18) = 85,000*0.01281 = 1088.71

Part (c): Total interest paid
I =[ I(7) + I(18)] - A1

I(7) = P(7)*7*12 + P(18)*18*12

Now, P(7) = A1*D1
D1 = {0.135/12}/{1-(1+0.115/12)^-12*25} = 0.01165

Then,
P(7) = 85,000*0.01165 = 990.25

Therefore,
I = [990.25*7*12 + 1088.71*18*12] -85,000 = 318,341.50 -85,000 = 233,341.50

Please Help Me With these questions!

Answers

Hello again!

1. Skew lines are lines that are not on the same plane, and hence are not parallel and do not intersect. The correct answer is D.

2. Parallel lines are lines that run next to each other, but will never intersect. FG and EH will never intersect, and they run next to each other. The correct answer is B.

Hope I helped! :3

Plot and connect the points A(4, 6), B(4, 0), C(1, -3), and D(1, 3), and find the area of the parallelogram formed.

Answers

I got C. 20 square units.

I could be wrong, but probably not. It was hard to figure out what the plot numbers were and the answer choices because the picture was super blurry. That's why I said I might be wrong.

Hope this helps!! :-)

Answer:

Step-by-step explanation:

i just did this it is 18

A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles: An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 54 inches. The width of the rectangle is 27 inches. Which of the following is the perimeter of the inner edge of the frame? (π = 3.14) 192.78 inches 246.78 inches 277.56 inches 331.56 inches

Answers

It would be 192.78!!!

Answer:

The answer is 192.78 inches

Step-by-step explanation:

An oval is formed by a rectangle with semicircles at each end. We can visualize this easily.

The length of the rectangle is 54 inches.

The width of the rectangle is 27 inches.

The perimeter of rectangle is = [tex]2(L+W)[/tex]

= [tex]2(54+27)[/tex]

= 162 inches

And because there are two semicircles, we can combine them to form a circle. So, perimeter of a circle is called a circumference.

The width of the rectangle forms the diameter, so its half will be the radius.

r = [tex]\frac{27}{2}=13.5[/tex]

The circumference is given by : [tex]2\pi r[/tex]

= [tex]2\times3.14\times13.5=84.78[/tex] inches

Now as the described oval shape is a complete figure without lines inside, we will subtract the width of both sides of the rectangle from the complete perimeter.

The complete perimeter is = [tex]162+84.78=246.78[/tex] inches

The inner edge perimeter will be = [tex]246.68-2(27)[/tex] = 192.78 inches

BRAINLIEST if correct
Does the median or mean better represent the data? And why? {20,28,35,40,132}

Answers

Okay so median is the number in the middle and mean is when you add them all up and divide by how many numbers there are

20,28,35,40,132

So 35 is the median
and the mean is 20 + 28 + 35 + 132 + 40 = 255 / 5 = 51

the mean is a better way to represent the data because it does not just pick a number from the set of numbers it calculates the average

When and why does order matter

Answers

If you are talking about order as in PEMDAS, then it is important when you have certain equations.

Example:
20 - 6 • 2 = ?

The answer is 8, because you go start with multiplication then you subtract.

But, if you just went straight across without order you would get 24.

Order is necessary for organized and accurate equations that could affect your answer.

P- parenthesis
E- exponents
M- multiplication
D- division
A- addition
S- subtraction

Please any one can help me with one

Answers

gallon, cup, quart, pint, teaspoon
gal, c, qt, pt, tsp

Teaspoon is the smallest, then cup, pint, quart, and gallon.

The answer is C) 1 tsp, t c, 1 pt, 1 qt, 1 gal.

Final answer:

The question lacks sufficient details to be categorized accurately. Further clarification is required to give a proper response.

Explanation:

The question does not provide enough information to determine its subject, grade level, or the exact academic help needed. To provide efficient help, it would be most beneficial if you can clarify your question specifying the academic subject and the grade level of this question and also give a clear context of what exactly is your challenge.

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Kamila has two number cubes each labeled 1 to 6. She is going to conduct an experiment by tossing both cubes a total of 150 times. She will find the sum of the two numbers in each role

a. Possible outcomes? __________
b. Probability of tossing a sum of six? _________
c. How many times should Kamila toss a sum of 7? _________
d. How many times should Kamila toss a sum of 10 or greater? _______

Answers

a) There are 36 possible outcomes.
b) The probability of a sum of 6 is 5/36.
c) She should roll a sum of 7 45 times.
d) She should roll a sum of 10 45 times.

Explanation
a) There are 6 outcomes for the first die and 6 outcomes for the second one. By the fundamental counting principle, there are 6*6 = 36 outcomes for both dice together.

b) The ways to get a sum of 6 are:
1&5; 2&4; 3&3; 4&2; 5&1. There are 5 possibilities out of a total of 36, or 5/36.

c) The ways to get a sum of 7 are:
1&6; 2&5; 3&4; 4&3; 5&2; 6&1. There are 6 out of 36, or 6/36=1/6. Since she is rolling the dice 150 times, she should get a sum of 6
1/6(150) = 150/6 = 45 times.

d) The ways to get a sum of 10 or more are:
4&6; 5&5; 6&4; 5&6; 6&5; 6&6

There are 6 ways out of 36, or 6/36 = 1/6. Since she is rolling the dice 150 times, she should get a sum of 10 or more
1/6(150) = 150/6 = 45 times.

Answer:

Step-by-step explanation:

a) When two number cubes are thrown possible outcomes are

[tex]6x6 =36[/tex]

b) Probability of tossing a sum of 6

Favourable outcomes = (1,5)(5,1)(2,4) (4,2) (3,3)

Hence probability =[tex]\frac{5}{36}[/tex]

c) For getting 7 favourable outcomes are

(1,6)(2,5)(3,4)(4,3)(5,2)(6,1)

i.e one out of 6 chances.

Hence in 150 times Kamala should toss a sum of 7 --- [tex]\frac{1}{6} *150 =25[/tex]

d) Favourable outcomes for sum of 10 or greater

= (4,6) (6,4) (5,5) (5,6)(6,5)(6,6)

Probability for getting sum of 10 or greater = [tex]\frac{6}{36} =\frac{1}{6}[/tex]

No of times Kamila should toss 10 or greater

= [tex]\frac{150}{6} =25[/tex]

T + 7 = 25

Y - 8 = -8

16 + x = 21

21 = 4 + p

Show your work ! .

Answers

You have to do the inverse operation for each of them

25-7=18
T=18

0-8=-8
Y=0

21-16=5
x=5

21-4=17
p=17

I need these all questions is for a grade

Answers

1. 13
2. by multiplying by 10
3. 13.41
4. A. 10+9+.90+.08
B. nineteen point Ninety Six

1. 13
2. by multiplying by 10
3. 13.41
4. a: 10+9+.90+.08
b: 19.96

what is (3x-4)^2 in expanded form

Answers

(3x-4)(3x-4) is the answer because when something is squared, it's just multiplying itself by itself, this also applies to expressions.

The expanded form of the given mathematical expression is [tex]3x^2 -24 +16[/tex].

Given the following expression:

[tex](3x-4)^2[/tex]

To write this mathematical expression in an expanded form:

In this exercise, you're required to write the given mathematical expression in an expanded form. Thus, we would expand the expression by applying the perfect-square trinomial.

The perfect-square trinomial.

Mathematically, the perfect-square trinomial is given by this mathematical expression:

[tex](a+b)^2=a^2+2ab +b^2[/tex]

Comparing the expressions, we have:

a = 3xb = -4

Substituting the values, we have:

[tex](3x-4)^2=3x^2+2(3)(-4) +(-4)^2\\\\(3x-4)^2=3x^2-24 +16[/tex]

Read more on mathematical expressions here: https://brainly.com/question/13170908

The median of a set of three numbers is x. there at least three numbers in the set. Write an algebraic expression, in terms of x, to represent the median of the new set of numbers obtained by

a. adding 1/8 to every number in the set

b. subtracting 9 1/4 from every number in the set

c. multiplying -5.8 to every number in the set and then adding 3 to the resulting numbers

d. dividing every number in the set by 0.5 and then subtracting 1 from the resulting numbers

e. adding 7.2 to the greatest number in the set

f. subtracting 4.2 from the least number in the set

Answers

The median of a set of three numbers is x. there at least three numbers in the set. Write an algebraic expression, in terms of x, to represent the median of the new set of numbers obtained by
a] adding 1/8 to every number in the set
Let the numbers be w,x,y
adding 1/8 to the number we get:
(w+1/8),(x+1/8),(y+1/8)
the new median will be:
(x+1/8)

b. subtracting 9 1/4 from every number in the set
Given our data set is w,x,y
adding 9 1/4 to each number we get:
(w+9 1/4),(x+9 1/4), (y+9 1/4)
thus the new median is:
(x+9 1/4)

c]multiplying -5.8 to every number in the set and then adding 3 to the resulting numbers
Multiplying each number by -5.8 we get:
(-5.8w),(-5.8x),(-5.8y)
adding 3 to these numbers we get:
(-5.8w+3),(-5.8x+3),(-5.8y+3)
thus the new median is:
(-5.8x+3)

d]dividing every number in the set by 0.5 and then subtracting 1 from the resulting numbers
dividing each number in our set by 0.5 we get:
(w/0.5),(x/0.5),(y/0.5)
this will give us:
(2w),(2x),(2y)
then subtracting 1 from the above we get:
(2w-1),(2x-1),(2y-1)
thus the median will be:
(2x-1)

e. adding 7.2 to the greatest number in the set
from our set:
w.x.y
the greatest number is y, then adding 7.2 to the greatest numbers gives us:
y+7.2
thus new series is:
w,x,y+7.2
thus the median is:
x
Conclusion
The median doesn't change

f. subtracting 4.2 from the least number in the set
from our set w,x,y; subtracting 4.2 from the least number gives us:
w-4.2
the new set is:
w-4.2, x, y
thus the new median is x
Conclusion
The median doesn't change

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Who won the Presidential Election of 1920? Warren G. Harding A museum charges a school $200 to hold a trip + $2 entrance fee per person. The students must share the total cost of the trip equally include the entrance feee for 8 teachers. What is the function Y(x) that gives that gives the cost per X person attending the trip? a reader using historical lens to analyze a text will be most concerned with..? -The role-The use of language-Culture and events -Gender stereotypes why does the author use third person point of view in this excerpt 1. Which graph models the equation y = 3.5x?2. Determine the equation of the line given by the graph.A)y = 3x + 2(Wrong, I'm retaking the test)B)y = 3x 2C)y = 1/3x + 2D)y = 1/3x 23.Determine the equation of the line given by the graph.A)y = 2/3x - 1B)y = 3/2x - 1C)y = -2/3x - 1(Wrong, retaking)D)y = -3/2x - 14.Determine the equation of the line given by the graph.A)y = 5/3x - 4B)y = 3/5x - 4C)y = -5/3x + 4D)y = -3/5x + 4 Which are accurate statements about the Mormon faith and its founders?Choose 2 answers that are correct. A.Joseph Smith founded the Church of Jesus Christ of Latter-Day Saints. B.Mormons were persecuted for their religion in Illinois and their leader was murdered. C.Mormons refused to live in any state where polygamy was practiced. D.Brigham Young became rich by leading Mormons to the California gold fields. The colonists objected to the ___ of soldiers in their homes and towns during peacetime.A. quarteringB. fightingC. hostingD. lootingE. feeding Senta que ustedes _______ la casa. (vender) What is the volume, in liters, of 576 grams of so2 gas at stp? If BY = 4, YC = 7, XC = 10. Which of the following proportions could be used to solve for AC?4/7 = 10/AC7/4 = 10/AC4/11 = 10/AC7/11 = 10/AC Match the phrases that best fit each other. 1. President is part of this branch George Washington 2. trading with each other, printing state currency petition 3. a request one reason given for not signing the Constitution 4. a signer of the Constitution Ben Franklin 5. presided over the Constitutional Convention problems with the Articles of Confederation 6. "too much power given to the federal government." executive Techechtium-99m has a half-life of 6 hours. If 1000mg is in use, in how many hours will 62.5mg remain? According to the Precambrian rock record, much of Earths first free oxygen combined with Producers release carbon dioxide into the atmosphere during the process of photosynthesis. select one: a. True b. False Through the story of Echo and Narcissus, we can infer that the Greeks A.believed the gods punished mortals randomly.B.thought people should be forgiven for their mistakes.C.felt that falling in love at first sight was impossible.D.held individuals accountable for their actions. _____ is a sales practice that involves building, maintaining, and enhancing interactions with customers in order to develop long-term satisfaction through mutually beneficial partnerships.a. price-based sellingb. adaptive sellingc. relationship sellingd. stimulus-response selling Find the area of the rectangle below (3x-2) (4x-7) Plzz help me im going to most more like this because im not understanding it Cenotes are: corn crops deep wells Mexican Indians bean crops PLEASE ANSWER CORRECTLY Researchers produced a study that involved 875 workers in the auto industry. The study showed that after 30 years 367 were retired, 85 were still employed in the auto industry, 300 left the industry, and the rest were not reachable. What is the problem with this study?precise numbersmissing dataself interestvoluntary response