Simplify the expression: (3 − 7i)(2 − 5i)

Answers

Answer 1

Answer:

( 3 -  7i) • ( 2 -  5i) = ( -  29 -  29i)

Step-by-step explanation:

The formula is :

(a+bi) • (x+yi)  = ax+by•i^2+(ay+bx)i

and since  i^2 = -1  it can be written as :

ax - by + (ay + bx) i

( 3 -  7i) • ( 2 -  5i) =

 ( -  29 -  29i)

Answer 2

Answer:

—29 - —29i

Step-by-step explanation:


Related Questions

Need help po. Salamat

Answers

Answer:

1. y ≥ 100

2. y ≤ 300

3. y ≥ 20000

4. 2y ≥ 80

5. 2y ≤ 90

Step-by-step explanation:

Let y be the variable.

1. The discount is not less than 100.

If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.

This can be written as:

y ≥ 100

2. The cost of the book is at most 300.

This implies that the cost of the book (i.e y) is either 300 or lesser.

This can be written as:

y ≤ 300

3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.

This can be written as:

y ≥ 20000

4. Twice the number is at least 80.

Let the number be y.

Twice the number y can be written as:

2y

But twice the number is at least 80.

This means that twice the number is 80 or greater than 80. This can be written as:

2y ≥ 80

5. Twice the measure of the acute angle is not more than 90 degree.

Let the angle be y.

Twice the angle can be written as:

2y

But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:

2y ≤ 90

PLEASE HELP>YOU CAN LITERALLY SAVE MY LIFE
What is the total bill you would leave for a $22 haircut and a 15% tip?

and

What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?

Answers

Answer:

Step-by-step explanation:

$25.30

and

$68.04

Answer:

25.3 and 77.5 i think

Step-by-step explanation:

Janice has 400g of sugar and 2 kg of flour. She says that the ratio of sugar to flour simplifies to 200:1. Explain why she is incorrect and give the correct answer.

Answers

Answer:

she is incorrect because it is 1:5

Step-by-step explanation:

1000g in a kg

0.4kg:2kg

1:5

Will mark brainliest

Answers

The answer to 6 is A

Answer:

#5- 7.8 hours  #6- $5.25

Step-by-step explanation

Question #5- 7.8 hours      

First we have to find the speed. If the speed was constant we should be able to divide the miles by the time to find the speed. So 239.82 divided by 4.2. This would leave us with a speed of 57.1 mph. So to finish the question, we have to take  what we know and divided it by the speed. If he drives 445.38 miles at the same speed of 57.1 mph it would take him 7.8 hours. I got this answer by dividing the miles by the speed. 445.38 divided by 57.1. Which got us our time, 7.8 hours.

Question #6- $5.25

Okay so we know that the chips cost .75 cents a bag, and he got two bags. So if we take .75 and multiply it by two we get 1.50. So the chips alone cost $1.50. We can take the price of the chips and subtract it from the total price. 22.50-1.50. 21. Now we have just the prices of the sandwiches. If we take the total price of the sandwiches and divide it by the number of sandwiches bought, we get $5.25. So each sandwich cost $5.25 each.

Kiran said that this diagram can show the solution to 16÷8=? or 16÷2=?, depending on how we think about the equations and the “?”.

EXPLAIN why he is correct.

Answers

Answer:

16÷2

Step-by-step explanation:

It would be 16 divided by 2. This is because in the diagram they are splitting 16 by 2. Splitting 16 by 2 gets you two 8's.

3. Write each number as a product of its prime factors:
a) 48
b) 441
c) 420
d) 1617
de 10​

Answers

Answer:

Step-by-step explanation:

At the end of summer sale, an air conditioner that sold for $310 was discounted for 21%. What was the sale price?

Answers

Answer:

The sale price was $244.9.

Step-by-step explanation:

With the information provided, you can calculate the sale price by finding the 21% of the sale price and then, subtracting that amount from the sale price:

$310*21%=$65.1

$310-$65.1=$244.9

According to this, the answer is that the sale price was $244.9.

Which of the following statements are ALWAYS true?


A rhombus is a kite.

A rhombus is a parallelogram.

A rhombus is a square.

A rhombus is a quadrilateral.

Answers

Answer:

a rhombus is a quadrilateral

Answer:

A rhombus is a quadrilateral .

Step-by-step explanation:

A rhombus is a parallelogram with four congruent sides

So b) and d)

800 time 40 divided by 6 equals

Answers

Answer:

5333.33333333 is ur awnser

Step-by-step explanation:

Answer:

5333.33333

Step-by-step explanation:

800x40=32000

32000/6=5333.33333

Here is an incomplete calculation of 534÷6. Write the missing numbers that would make the calculation complete

Answers

Answer:

89

Step-by-step explanation:

534 ÷ 6

53 / 6 = 8 remainder 5

Equation becomes 54 ÷ 6

54 / 6 = 9 remainder 0

Hence,

534 ÷ 6 = 89

You go to the restaurant and order $137.00 worth of food. You decided to tip the waiter 18%. You also have to pay tax of 6.5% on the original bill. What is the final cost of the meal?

Answers

Answer: $1, 615

Step-by-step explanation:

what is the total cost of a $52 lunch with a 20% tip?

Answers

Answer: 62.4$

Step-by-step explanation: 20% of 52 is 10.4

62.4
20% of 52 is 10.4 therefore you add 52+10.4=$62.4


¿Si tienes un cilindro de 12 m de diámetro y un prisma de base cuadrada de 12m de lado cual tiene mayor volumen si la altura es la misma?

Answers

12+12=24 give me brainlyest

Gerald is conducting an experiment with 3 possible outcomes. Kasey is conducting an experiment with 20 possible
outcomes.

Which statement best relates the possible outcomes to the number of trials needed to produce results
similar to their predicted outcomes?
A) Gerald will need to conduct more trials than Kasey because there are fewer possible outcomes in his experiment.

B)Gerald will need to conduct fewer trials than Kasey because there are fewer possible outcomes in his experiment.

C)Gerald will need to conduct more trials because he needs to make up for the difference in the number of possible
outcomes.

D)Gerald will need to conduct fewer trials because experimental and theoretical results in experiments with small
numbers of possible outcomes are the same.

Answers

Answer:

B/2

Step-by-step explanation:

Gerald will need to conduct fewer trials than Kasey because there are fewer possible outcomes in his experiment. Then the correct option is B.

What are samples?

A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.

Gerald is conducting an experiment with 3 possible outcomes. Kasey is conducting an experiment with 20 possible outcomes.

The best relates the possible outcomes to the number of trials needed to produce results similar to their predicted outcomes will be

Kasey will need to conduct more trials because the number of samples is more.

Gerald will need to conduct fewer trials because the number of samples is less.

Then the correct option is B.

More about the sample link is given below.

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k+ 6 ≥ 19, if k = 11

Answers

Answer:

Then it would be the other way around 19 ≥ k + 6

Wait for more responses if needed.

The given Inequality is correct when 19 ≥ k + 6.

What is inequality?

Inequality compares "two values, showing if one is less than, greater than, or simply not equal to another one".

Given k + 6 ≥ 19 if k = 11

11 + 6 ≥ 19  substitute k = 11

17 ≥ 19 here Inequality is False.

Hence, 19 ≥ k + 6.

To learn more about Inequality here

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What two numbers go there

Answers

The two numbers are 7 and 4

Answer:

7 and 4

Step-by-step explanation:

because 7 and 4 numbers cannot divided by any numbers both so 7 and 4 should be written there

A person invested $7, 400 in an account growing at a rate allowing the money to
double every 6 years. How much money would be in the account after 4 years, to the
nearest dollar?

Answers

Answer:

$11747

Step-by-step explanation:

[tex]m=7400x^{t} \\2*7400=7400x^{6}\\x=1.122\\t=4\\m=7400*1.122^{4} =11747[/tex]

The table shows the number of passengers that can be transported in a company’s vans. How many passengers can be transported in five vans? Vans Passengers 1 12 2 24 3 36 4 48 5 ? 6 72 passengers

Answers

Answer:

The answer is 60

Step-by-step explanation:

the answer is 60 because every van is 12 times that number so what is 5 time 12 its 60 so that's your answer

Answer:

Its 60

Step-by-step explanation:

Its because the pattern is to multiply By 12 every time and its 5 so its 12 times 5 which is 60 hope it helps EDGE 2021

Jonathan says he knows that 1/2 of 2 1/2 is 1 1/4 and he knows that 5/8 is almost one half if you use estimation. but he is not sure whether 5/18 x 2 1/2 will be more or less than 1 1/4

Answers

Answer:

5/8 x 2 1/2 is more than 1 1/4

Step-by-step explanation:

It is correct

Answer:

C and part b is C

Step-by-step explanation:

i did the test

PLEASE HELP I WILL MAKE BRAINLIEST

Answers

Answer:

m∠T = 79°

m∠V = 14°

Step-by-step explanation:

Given

m∠T = (2x + 85)°m∠V = (5x + 29)°

As the sum of measures of the angles is 93°.

so

m∠T + m∠V = 93°

(2x + 85)° + (5x + 29)° = 93°

Remove parentheses

[tex]2x+85+5x+29=93[/tex]

[tex]7x+114=93[/tex]

Subtract 114 from both sides

[tex]7x+114-114=93-114[/tex]

Simplify

[tex]7x=-21[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-21}{7}[/tex]

simplify

[tex]x=-3[/tex]

Determining m∠T

m∠T = (2x + 85)°

substitute x = -3

m∠T = (2(-3) + 85)°

        = -6 + 85

        = 79°

Thus, we conclude that m∠T = 79°

Determining m∠V

m∠V = (5x + 29)°

substitute x = -3

m∠T = (5(-3) + 29)°

        = -15 + 29

        = 14°

Thus, we conclude that m∠V = 14°

VERIFICATION:

m∠T + m∠V = 93°

substitute m∠T = 79° and m∠V = 14°

79° + 14° = 93°

93° =  93°

L.H.S = R.H.S    

Question 9 of 9
Which of the expressions are equivalent to the one below? Check all that
apply.
(4.1)-6
O A. (1 : 4) - 6
B. 4. (1-6)
C. 6-(1.4)
O D. (4+ 1) - 6
SWAMIT

Answers

Answer:

The answer is A

[tex](4 \times 1) - 6[/tex]

ayuda por favor 5.800%(-10)​

Answers

Answer: -0.58

Divide 5.8 y 100 y te da 0.058 despues lo multiplicas con (-10) y te da -0.58

can someone help me with this problem, please?

Answers

Answer:

Length = 2 ft

Width = 7/4 ft = 1.75 ft

Step-by-step explanation:

Length of room on blueprint = 1/8 *16 = 2 ft

Width of room on blueprint = 1/8 *14 = 7/4 ft = 1.75 ft

PLZ HELP!!! URGENT!!​

Answers

Answer:

52.329km/hours

Step-by-step explanation:

x = speed

100/x - 100/(x+5) = 1/6

==> x= (5sqrt(481)-5)/2 = 52.329km/hours

X^2+ 14x = -33
Quadratic equation

Answers

x=-3

x=-11

because

x(x+14)=-33

so if x = -11 it will be 3*-11

and if x= -3 it will be -3*11

Answer:

x = -3, -11

Step-by-step explanation:

First, factor

Get all the terms on one side by adding 33 to both sides:

[tex]x^2 + 14x + 33 = 0[/tex]

now, you want to find two numbers that add up to 14 and multiply to 33.

those numbers would be 3 and 11.

so you can then make it:

[tex](x + 3)(x+11)=0[/tex]

you know that either x + 3 or x + 11 = 0,

so you can say:

x + 3 = 0

x = -3

ork

x + 11 = 0

x = -11

so x = -3, -11.

For further info you can go to: bit. ly / khanacademyquadratics

Please answer this I’ll give brainly!!!

Answers

ummmmmmmm. Answer:

Step-by-step explanation:

A student is asked to write a report about the population growth of two countries A and B. The population of these two countries over the past five years is shown in the table below, The population of both countries is expected to continue to grow at the same rate. Which if the following statements can the students use in their report to accurately describe the population of Country A? Select two that apply. it is decreasing each year at a constant rate., It is increasing linearly., It will always be less than the population of Country B., It is increasing exponentially., It will eventually exceed the population of Country B lo

Answers

Answer: The answer is It will eventually exceed the population of Country B. The other answer is It is increasing exponentially

Step-by-step explanation:

The correct answers would be statements (C) and (D) for the given table.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

The population of these two countries for the last five years is displayed in the given table. Both countries' populations are predicted to continue growing at the same rate.

The following statements can the students use in their report to accurately describe the population of Country A, as:

It will eventually exceed the population of Country B.

It is increasing exponentially.

Hence, the correct answers would be statements (C) and (D).

Learn more about exponential function here:

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I NEED SERIOUS HELP I AM HAVING MATH EXAM SOON

PLEASEEEEEEEEEE HELP ME IM PREPARING WITH THE PPTS MY TEACHERS HAVE GAVE ME BUT THEY GAVE NO ANSWER AND IM NOT ABLE TO SOLVE THIS(I asked this before itself but never got an answer so with extra details I'm hoping I will get some answers) its my 4th time my first try no one answered so I put another one then I forgot to attach the photo and third time a person wasted your chances so this my 4th time BUT PLEASE HELP MEHHH

Answers

Answer:

Vertices are basically the point where 2 sides meet. In this shape the vertices are:

A, B and C

The sides are;

AB. BC, and CA

The angles are all 60°, this is because it is an equilateral triangle (all the sides seems to be equal)

Which equations have no solution?
Select all that apply.
A X + 5 = x - 5
B 0.5y = 0
CX-7 = x - 7
D 9(-1 + x) + 1 = 12x + 1
E 8+ 4. f = 4(3+f)

Answers

D and B don’t have any solutions

Step-by-step explanation:

A and E

A

because x+5 = x-5

x-x = -5 -5

0 = -10

E

8 + 4f = 4(3+f)

8 + 4f = 12 + 4f

4f - 4f = 12 - 8

0 = 4

A and E it's not true

Identify whether the expression is a polynomial, and if so, determine the correct type.
y-3x+4

Answers

Answer:

Its the type of polynomial that doesn't matter because no one in the real world is gonna give a flying f#%* about it.

Step-by-step explanation:

The expression y-3x+4 is a polynomial consisting 3 terms as  y, 3x and 4.

What are terms in polynomials?

Terms are added or subtracted to make a polynomial. They are composed of variables and constants all in multiplication.

Example:

x^3 + 3x +5 is a polynomial consisting 3 terms as   x^3, 3x and 5

If there is one term, the polynomial will be called monomial.

If there are two terms, the polynomial will be called binomial.

If there are three terms, the polynomial will be called trinomial.

The given; y-3x+4

This is polynomial consisting 3 terms as  y, 3x and 4.

Hence, The expression y-3x+4 is a polynomial consisting 3 terms as  y, 3x and 4.

Learn more about binomials here:

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what does revenue mean in accounting?a. cashb. profit c. debit d. customer sales find the sum of 8a+2b-4 and 3b-5. write. in expanded form and then standard form NEED HELP ASAP! WILL MARK BRAINLIEST!!!Find the common logarithm of 0.459log 0.0459=______ Two forces are exerted on an object in the vertical direction: a 20 N force downward and a 10 N force upward. The mass of the object is 25 kg. (1) What are some possibilities about the motion of this object? (2) Represent the motion of the object with a force diagram and a motion diagram. Identify the following particles as being charged or uncharged/neutral. If charged, indicate whether they are charged positively or negatively. (n = neutron, p = proton, e = electron)*particle Cproton +20electron -18urgent ^^ What is an example of how anatomical homologies (similar bone structure) are used toshow evidence of common ancestry among groups of organisms? The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about 69 mm ("Annual maximums of," 2013). Assume rainfall is normally distributed. c. If a year has a rainfall less than 100mm, does that mean the year is an unusually dry year? Why or why not? Do not use the word "it" in your reason for why or why not. find p when t=3 if P=4t squared ok PLEASE HELP ASAP I WILL MARK BRAILIEST help with this please and thank you*will mark brainliest* For the function g(x) =10 x ^5/x-2, what is the inverse function? What is a front? What are warm fronts and cold fronts? HHEEELLLPPPP AASSASSPP What color is the height? Area= 1/2 base . height I gave Brainlist Mrs. Roberson has 5 more students in her class than Mr. Monroe. Together, they have 57 students. Write an equation that can be used to find the number of students in Mr. Monroes (m) class. Solve the equation. In the 30 years after World War II, which area was most influenced by the Soviet Union? A. Central America B. North Africa . Eastern Europe 10 D. Southeast Asia The table shows the number of passengers that can be transported in a company's vans. How many passengers can btransported in five vans?Plz help Where is J.J Wigley's home town? A circles diameter is 10 yards what is the circles area using 3.14 I need help with this. Mostly just 2a and 2b.