Simplify the following Complex Numbers.

\frac{1-3i}{2+5i}
2+5i
1−3i

Answers

Answer 1

Answer:

{1-3i}{2+5i}

Step-by-step explanation:

1(2+5i)-3i(2+5i)2+5i-6i+15i22+5i-6i+15(-1)2+5i-6i-152-15+5i-6i-13-i (answer)
Answer 2

Answer:

[tex]\frac{-13 - 11i}{29}[/tex]

Step-by-step explanation:

You need to multiply the numerator and denominator by the conjugate of

2 + 5i, which is 2 - 5i

So, [tex]\frac{(1 - 3i)(2 - 5i)}{(2 + 5i)(2 - 5i)} = \frac{2 - 11i - 15}{4 +25} = \frac{-13 - 11i}{29}[/tex]


Related Questions

In a test consisting of 12 questions, each student gets a score of +23 for every correct answer and −13 for every incorrect answer. Each question must be answered. Ram gets 7 correct and 5 incorrect answers. What's his score?

Answers

Answer:

96 scores

Step-by-step explanation:

Score for each correct answer = +23

Score for each incorrect answer = [tex]-13[/tex]

Each question must be answered such that Ram gets 7 correct and 5 incorrect answers.

Number of correct answers [tex]=7[/tex]

Number of incorrect answers [tex]=5[/tex]

Therefore,

Ram's score [tex]=7(23)+5(-13)=161-65=96[/tex]

John bought a pack of 18 cards for $2.99. About how much did each card cost?

Answers

Answer:

0.166

Step-by-step explanation:

Bought 18 cards for $2.99, so you can write it like this:

18 = 2.99

Since you want to find the value of one card, u could write that like this:

1 = x  (where x is the unknown value of 1 card)

To get from 18 to 1, you divide by 18, so to get to 2.99 to x you must divide by 18 as well.

So 2.99/18 = 0.166

therefore x = 0.166

So you can say that each card costs about 17 c

help ASAP thanks,....

Answers

Answer:

Yes they both are same

Because the sides of figure are same both they consider as polygon, polygon doesn't depend on scale it depends upon their properties

The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $1.50. Today they made $135.50 from the 117 wraps sold. How many of the wraps sold were vegetarian?

Answers

Answer:

Number of vegetarian wraps = 80

Number of chicken wraps = 37

Step-by-step explanation:

Let

Number of vegetarian wraps = x

Number of chicken wraps = y

x + y = 117 (1)

x + 1.5y = 135.50 (2)

Subtract (1) from (2) to eliminate x

1.50y - y = 135.50 - 117

0.50y = 18.50

y = 18.50/0.50

y = 37

Substitute y = 37 into (1)

x + y = 117 (1)

x + 37 = 117

x = 117 - 37

x = 80

Number of vegetarian wraps = 80

Number of chicken wraps = 37

18
Write an exponential function to represent the table and give the percent
growth or decay.
(0,40),(1,20),(2,10),(3,5)

Answers

Answer:

Step-by-step explanation:

f(t) = 40×0.5^t

What is the answer to 0*8(3+1-4)

Answers

Answer:

caca

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(0)(8)(3+1−4)

=0(3+1−4)

=0(4−4)

=(0)(0)

=0

Find the missing side length… please help

Answers

Answer:

So let's consider the triangle [tex] \tan(46) = \frac{17}{x} [/tex]Cross multiply [tex]tan(46) \times x = 17[/tex][tex]x = 16.42[/tex]I do quizzes and exams lmk if your interested!

I need help on slope. Anything concerning slope. Any advice you have would be worth a whole lot.​

Answers

So find the points and subtract them so
Y2-y1/x2-x1
I hope that helps the slash is like a fraction also

Jan and Jerome are mixing red paint with white paint to make pink paint, in the ratio of 4 parts red to 5 parts white. How many gallons of red paint should they mix with 1 gallon of white paint? Express your answer as a common fraction

Answers

Answer:

0.8 gallons of red paint or 4/5 gallons of red paint

Step-by-step explanation:

Jan and Jerome are mixing red paint with white paint to make pink paint, in the ratio of 4 parts red to 5 parts white. How many gallons of red paint should they mix with 1 gallon of white paint? Express your answer as a common fraction

How many gallons of red paint should they mix with 1 gallon of white paint?

Let parts be represented as x

Hence:

Red : white

4 : 5

4/5 = x/ 1

We cross Multiply

5x = 4

x = 4/5

x = 0.8 gallons of red paint or 4/5 gallons of red paint

Answer:

4/5

Step-by-step explanation:

I got it correct for mathcounts

QUESTION 6 of 10: You expect your expenses to grow non-linearly over time by the following formula: expenses = 4,000 + 20,000 x (1.5)
where t is the number of months in business. What are your estimated expenses after 6 months ?
a) $231,813
b) $242,131
c) $277,961
d) $282,918

Answers

Answer:

$231,813

Step-by-step explanation:

The estimated expenses after 6 months is $231,812.5

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

Expense = 4,000 + 20,000 x [tex](1.5)^t[/tex]

Now, for t= 6 months

Expense = 4,000 + 20,000 x [tex](1.5)^6[/tex]

Expense = 4,000 + 20,000 x 11.390625

Expense = 4,000 + 2,27,812.5

Expense = 231,812.5

Hence, The estimated expenses after 6 months is $231,812.5.

Learn more about function here:

https://brainly.com/question/21145944

#SPJ2

What is the value of f?

Answers

Answer:

42

Step-by-step explanation:

helppp pleaseeeeeeeeee

Answers

Answer:

hope this helps.............

You need to have a password with 6 letters followed by 3 odd digits between 0 and 9
, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?

Answers

Answer:

9,945,936,000.

Step-by-step explanation:

This is the number of permutations of 6 letters from 26 multiplied by number of permutations of 3 odd digits between 0 and 9.

The total number of odd digits between 0 and 9 are 1,3,5,7,9 = 5.

So the number of choices are

26P6 * 5P3.

=  26!/(26-6)! * 5!/ 2!

= 26!/20! * 5!/2!

= 165765600 * 60

= 9945936000.


What is the zero of r(x) = 8/3x - 16

Answers

Answer:

x=1/6

Step-by-step explanation:

Plug in 0 for r(x)0 = 8/3x - 1616 = 8/3x16(3x)=83x=8/163x=1/2x=1/6

Dawson baked one pie in 7/12 of an hour. How long will it take Dawson to bake 9 pies

Answers

Answer:

Explanation:

1 pie takes 7/12 of an hr

9 pie = 9(7/12)
9 pie = 21/4 = 5 1/4 hr = 5hr 15 minutes

10. Find the area of the figure to the
3 In
right.
3 in
2 in.
9 in

Answers

Answer:

27 inch sq is correct answer

If you divide the figure into a rectangle and a square, you can easily get the area of those to figures. Then, add them up to get 27in^2

Help help help please please please :)

Answers

Exact Form:
81/16
Decimal Form:
5.0625
Mixed Number Form:
5 1/16

What are the coordinates of the x-intercept for the line that goes through points (3, 2) and (3, 6) ?

Answers

Answer:

x-intercept for the line is 3

Step-by-step explanation:

Given the coordinate points (3, 2) and (3, 6), to get the x intercept, we need to first get the equation of the line passing through the points

Form the coordinate, we can see that the line passes through the points x = 3 on both coordinates. This shows that the line is a horizontal line cutting the x axis at x =3. Hence the x-intercept for the line will be 3

Find the measure of each exterior angle of a regular polygon of 15 sides

Answers

Answer: 24 degrees (for all exterior angles)

Why? To find exterior angles you do 360/number of sides so...
360/15= 24
All the exterior angles 24

Hope this helps

(solve by substitution or elimination)Maci’s closet is a rectangle with a perimeter of 18 ft. Its length is 5 ft greater than its width.
Find the dimensions of her closet.

Answers

Answer:2x7

Step-by-step explanation:2(x+5)+2x=18. 4x+10=18. x=2. 2x7.

which table represents a linear function?
(i-ready diagnostic)​

Answers

Answer:

Step-by-step explanation:

If there are no exponents higher than 1, the function is linear.

Answer:

this cannot be answered as there is no picture for me to look at, nore are there any possible answers to go off of.

hey im so confused on these questions please answer all of them hurry!!

Answers

Answer:

m=4 and 2/7 and m=6 and m= -6 and m=1/3

Step-by-step explanation:

i just know it i love graphs

i hope this helps

Answer:

You need to add a little more than six points, people are using their hard earned time, for 5 questions, for six points, thats like having someone work at mcdonalds for a year and getting 10 dollars for the whole year. I will help you with as much as i can thought. **Keep this in mind**

Step-by-step explanation:

1. M=-6

2. M= -2/7

3. M=0

4. M= -1/4

5. M= -1/3

*Hopefully it's all correct, if not I apologize!

The coldest temperature in New York City was -15 on February 9th 1934, The next day the temperature rose 42 degrees. Write an expression for the temperature on February 10th

Answers

Answer:

27°C

Step-by-step explanation:

The temperature on February 9th 1934 = -15°C

The next day the temperature rose 42 degrees.

We need to find an expression for the temperature on February 10th.

February 10th temperature = -15 + 42

= 27°C

So, the temperature on February 10th is 27°C.

Answer: it would be 42+(-15)

Step-by-step explanation:

Got it right

Find the area of the shape shown below.

Answers

2*2=4 (square part)
2*2=4/2= 2 (triangle part)
4+2=6

ANS IS 6
The correct answer is 6

All the steps are in the attached photo

4x2 is the GCF of this polynomial.

20x2y + 56x3 – ?

Which could be the mystery term?

22x3
24x2y
26x2y
28y3

Answers

Answer:

B: 24x2y

Step-by-step explanation:

edge

Since 4x² is the GCF of this polynomial, the mystery term could be given by:

24x²y

What is the greatest common factor of a polynomial?

It is the multiplication of the GCF of the numeric constants by the GCF of the coefficients.

In this problem, the GCF is of 4x², which means that for the third term:

The numeric value must be a multiple of 4, which leaves the second and the fourth option.The variable must be a multiple of x², which means that 24x²y is the possible mystery term.

More can be learned about the greatest common factor at https://brainly.com/question/6032811

I need help please :( !

Answers

The answer is

A 2 = 144°
A 3 = 47°

Correct if wrong!!

What is the volume of the right triangular prism shown?

for brainlist

Answers

Answer: C

Step-by-step explanation:

Answer:

V = 567 yd³

Step-by-step explanation:

[tex]V = \frac{1}{2} ach[/tex]

[tex]V = \frac{1}{2}(9)(6)(21)[/tex]

V = 567 yd³

anyone know the answer?

Answers

Answer:

well B and D look good but to be honest all I know is that out of B and D I think it can be B

Whats a example for a equivalent expression?

Answers

Answer:

2 (2x -1) -1

Step-by-step explanation:

which is

4x-3

Jannetta and George each made apple juice. Jannetta mixed 12 fluid ounces of apple concentrate with every quart of water to make her apple juice. George mixed 18 fluid ounces of apple concentrate with every 2 quarts of water to make his apple juice.

Which of these statements is true?

A: George used more fluid ounces of apple concentrate per quart of water than Janneta, because 18 fluid ounces is greater than 12 fluid ounces.

B: George used more fluid ounces of apple concentrate per quart of water than Janneta, because 18:2 is greater than 12:1

C: Janneta used more fluid ounces of apple concentrate per quart of of water than George, because 12:1 is greater than 18:2

D: Janneta used more fluid ounces of apple concentrate per quart of water than George, because 18 fluid ounces is greater than 12 fluid ounces.

(Please help this is for a grade! 20 points!)

Answers

Answer:

answer "C"

Step-by-step explanation:

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