please solve this question.​

Please Solve This Question.

Answers

Answer 1

[tex]\left(\dfrac{1}{1+2i}+\dfrac{3}{1-i}\right)\left(\dfrac{3-2i}{1+3i}\right)=\\\\\left(\dfrac{1-2i}{(1+2i)(1-2i)}+\dfrac{3(1+i)}{(1-i)(1+i)}\right)\left(\dfrac{(3-2i)(1-3i)}{(1+3i)(1-3i)}\right)=\\\\\left(\dfrac{1-2i}{1+4}+\dfrac{3+3i}{1+1}\right)\left(\dfrac{3-9i-2i-6}{1+9}\right)=\\\\\left(\dfrac{1-2i}{5}+\dfrac{3+3i}{2}\right)\left(\dfrac{-3-11i}{10}\right)=\\\\\left(\dfrac{2(1-2i)}{10}+\dfrac{5(3+3i)}{10}\right)\left(\dfrac{-3-11i}{10}\right)=[/tex]

[tex]\dfrac{2-4i+15+15i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{17+11i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{-51-187i-33i+121}{100}=\\\\\dfrac{70-220i}{100}=\\\\\dfrac{70}{100}-\dfrac{220i}{100}=\\\\\boxed{\dfrac{7}{10}-\dfrac{11}{5}i}[/tex]


Related Questions

If f(x)= Square root of X +12 and g(x)= 2 Square root of X what is the value of (f-g)(144)

Answers

Answer:

0

Step-by-step explanation:

I REALLY NEED HELP WITH THESE 5 QUESTIONS!!!!!!!!!

Answers

Answer:

is -5,-3

Step-by-step explanation:

set up the tablet and done

If the production rate is 975 brownies per hour at a bakery, how many brownies will be produced in an 8 hour shift?

Answers

Answer:

[tex]\large \boxed{\mathrm{7800 \ brownies}}[/tex]

Step-by-step explanation:

975 brownies are produced per 1 hour.

To find how many brownies are produced in 8 hours, multiply the brownies amount by the hours.

975 × 8 = 7800

7800 brownies will be produced in an 8 hour shift.

Answer:

the answer is 7800

Step-by-step explanation:

975 brownies are created per 60 minutes.

To discover what number of brownies are created in 8 hours, duplicate the brownies sum continuously.

975 × 8 = 7800

7800 brownies will be created in a 8 hour move.

A farmer has 2000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this. 4.

Answers

Answer:

500 plants

Step-by-step explanation:

Step one:

given that the number of plants the farmer has is 2000

for him to plant in equal rows and column he needs an amount of plant the is a perfect square.

The closest number to a perfect square is 2500

Step two:

From the above figure which is 2500 plants, the farmer is able to plant 50 rows and 50 columns.

multiplying these values together will amount to 2500

Hence the farmer needs at least 500 plants to achieve this

Answer:

25

Step-by-step explanation:

Number of plants = 2000

He wants to plant such that number of rows and column of plants remain the same, Find the minimum number of plants he needs more for this:

To obtain this,

We take the square root of 2000

Sqrt(2000) = 44.721359

Therefore, the number of columns and rows we need is a natural number whereby the square root of its square is perfect (that is leaves no remainder).

The minimum number will thus be ; the next natural number or integer after 44.721359, whish is 45

Taking the square of 45

45^2 = 2025

The minimum number of plants needed more is :

2025 - 2000 = 25 plants


2y² +4y-48=0
solve the equation​

Answers

Answer:

y = - 6, y = 4

Step-by-step explanation:

Given

2y² + 4y - 48 = 0 ( divide through by 2 )

y² + 2y - 24 = 0

Consider the factors of the constant term (- 24) which sum to give the coefficient of the y- term (+ 2)

The factors are + 6 and - 4 , since

6 × - 4 = - 24 and 6 - 4 = + 2 , thus

(y + 6)(y - 4) = 0

Equate each factor to zero and solve for y

y + 6 = 0 ⇒ y = - 6

y - 4 = 0 ⇒ y = 4

Answer:

Step-by-step explanation:

2y² + 4y - 48 = 0

2y² +  12y -  8y  + (-8)* 6 = 0

         2y(y + 6) - 8(y + 6) =0

                 (y + 6) (2y - 8)= 0

y + 6 = 0    ; 2y- 8 = 0

     y = -6            2y = 8

                             y = 8/2

                             y = 4

Solution: y = -6 , 4

How many 1-foot rulers laid end to end would
it take to equal 3 yards?

Answers

Answer:

9

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the side length of the base is 17 in 17 in and the height of the pyramid is 9 in 9 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

The volume of the pyramid is 867 inch^3

Step-by-step explanation:

Here in this question, we are interested in calculating the volume of a square based pyramid.

Mathematically, we can use the formula below to calculate the volume V of a square based pyramid.

V = a^2h/3

where a represents the length of the side of the square and h is the height of the pyramid

From the question, the length of the side of the square is 17 in while the height is 9 in

Plugging these values, we have ;

V = (17^2 * 9)/3 = 17^2 * 3 = 867 cubic inch

Mrs.magar sold 40 kg of fruits at rate of RS 60 per kg and gained Rs 600 . calculate purchasing rate and profit percent.​

Answers

Answer:

Purchasing rate = ₹45 per kg

Profit percent = 33.33%

Step-by-step explanation:

Selling price of 1 kg fruit = ₹60

Therefore, S. P. of 40 kg fruits = 40*60 = ₹2400

Gain = ₹ 600 (given)

Cost price (C. P.) = S. P. - Gain

= ₹2400 - ₹600

= ₹ 1800

Rate of purchasing

= C. P. /quantity of fruits

= 1800/40

= ₹45 per kg

Profit percent

= (Gain* 100)/C.P.

= (600*100)/1800

= 60000/1800

=33.33%

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

square root of the quantity x minus 3 end quantity plus 5 equals x

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{x-3} +5=x\\\sqrt{x-3} =x-5\\squaring ~both~sides\\x-3=x^2-10x+25\\x^2-10x-x+25+3=0\\x^2-11x+28=0\\x^2-7x-4x+28=0\\x(x-7)-4(x-7)=0\\(x-7)(x-4)=0\\x=7,4[/tex]

put x=7 in the given equation

[tex]\sqrt{7-3} +5=7\\\sqrt{4} +5=7\\2+5=7\\7=7[/tex]

which is true .

∴ x=7 is a solution of the given eq.

now put x=4 in the given eq.

[tex]\sqrt{4-3} +5=7\\1+5=7\\6=7\\[/tex]

which is not true.

∴x=4 is an extraneous solution.

Which of the following is true? Tangent is positive in Quadrant I. Sine is negative in Quadrant II. Cosine is positive in Quadrant III. Sine is positive in Quadrant IV.

Answers

A) Tangent is positive in Quadrant I.

Since sine and cosine are both positive in Quadrant I and tangent is the ratio of sine to cosine, tangent is positive in Quadrant I

Answer:

A

Step-by-step explanation:

I had this question and got it right the user above explains it in detail

find the sum of partial fraction for x^4/(x-1)(x²-4)​

Answers

Answer:

see attachment

Step-by-step explanation:

Giving brainliest!!!! Plzz put the correct answers.
2^(10)= 2x...x2 how many times
15^(57)= 15x...x15 how many times
(-4)x...x(-4) 7 times =
(1.5)x...x(1.5) 12 times =
If you give me the answer after like an hour i willl report you!!

Answers

Answer:

See below

Step-by-step explanation:

aⁿ = a×a×a×....×a  (power n of the number a  =  number a multiplied by itself n times)

2^(10)= 2x...x2 how many times  =  10 times 2

15^(57)= 15x...x15 how many times  = 57 times 15

(-4)x...x(-4) 7 times =  (-4)^(7)

(1.5)x...x(1.5) 12 times = (1.5)^(12)

how many are 5 raised to 3 ???​

Answers

Answer:

[tex]\boxed{125}[/tex]

Step-by-step explanation:

Hey there!

Well 5 raised to the 3 can be written as,

[tex]5^3[/tex]

This is 5*5*5

= 125

Hope this helps :)

Bryan completed a 100-meter race in 11.74 seconds. Luis completed the same race in 11.69 seconds. What was the difference between their times, expressed as a fraction of a second?

Answers

Answer:

[tex]\frac{1}{20}[/tex] of a second

Step-by-step explanation:

We can convert each time into fractions.

11.74 is the same thing as [tex]11 \frac{74}{100}[/tex]

and 11.69 is the same thing as [tex]11 \frac{69}{100}[/tex].

We know that 11 - 11 = 0, so we can focus on the fractions for now.

Let's subtract [tex]\frac{69}{100}[/tex] from [tex]\frac{74}{100}[/tex].

[tex]\frac{74}{100} - \frac{69}{100} = \frac{5}{100}[/tex].

We can now simplify [tex]\frac{5}{100}[/tex] by dividing both the numerator and denominator by 5.

[tex]\frac{5\div5}{100\div5} = \frac{1}{20}[/tex].

Hope this helped!

How do u find the area of a rectangle?

Answers

Answer:

6x-21

Step-by-step explanation:

Area of a rectangle is length times width.

3*(2x-7)-

6x-21

Answer:

6x - 21

Step-by-step explanation:

Since area = L x W (Length x Width)

--> 3(2x - 7)

6x - 21

how many eighth rests are in a half rest?

Answers

If I’m not mistaking there’s 4, In other words two eighth rests make up a quarter rest, while four of them make up a half rest, and eight 1/8 notes make up a whole rest.

Write this expression as a complex number in standard form

Answers

Answer:

[tex]81+144i[/tex]

Step-by-step explanation:

We want to simplify:
[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i[/tex]

Recall that:

[tex]\displaystyle \sqrt{-a} = i\sqrt{a}[/tex]

Therefore:
[tex]\displaystyle \begin{aligned} (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i & = (-3i\sqrt{81})(-5+i\sqrt{9})+9i \\ \\ &= -(3i(9))(-5+i(3))+9i \\ \\ & = -27i(-5+3i)+9i \\ \\ & = 135i -81i^2 + 9i \\ \\ & = 144i - 81i^2 \\ \\ & = 81+144i\end{aligned}[/tex]

Note that i² = -1.

In conclusion:

[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9})+9i = 81 + 144i[/tex]

The answer is 81+144i

plz help asap i have limited time i will give brainliest

Answers

Answer:

358

Step-by-step explanation:

In 1995, the boys were 50 %

Take the number of people at the convention in 1995 ( 716)

and multiply by 50%

716 * 50%

716 * .50

358

Answer:

b. 358

Step-by-step explanation:

First, find what percentage of attendees were boys in 1995:

By reading the graph, we can see 50% were boys.

In the table, we can see that there were 716 attendees in 1995.

To find how many boys attended in 1995, find 50% of 716.

716(0.5) = 358

WILL MARK BRAINLIEST FOR CORRECT ANSWER. <3 <3 The area of the following rectangle is 24 square units. A. Write an equation that can be used to find the value of n. B. Solve the equation to find the value of n. In your answer, show all of your work.

Answers

Because area is multiplication lets multiply the sides and make an equation:

A 2(n-3) = 24

n-3=(12)

B n= 15

15-3 = 12

12 x 2 = 24

Answer:

2(n-3)=24

n=15

Step-by-step explanation:

2(n-3)=24

2n-6=24

2n=30

n=15

What is the value of 1/4m +n 8 - 6 = 12 *​

Answers

Answer:

i dont know if you want me to solve for m

Step-by-step explanation:

Let's solve for m.

A timeline. 27 B C E to 180 C E PAX ROMANA. 44 B C E The Roman Empire was founded. 80 C E The Colosseum was built. 121 C E Hadrian's Wall was built in England to keep out enemies. 306 C E Constantine became emperor.
How many years passed between the building of the Colosseum and the building of Hadrian’s Wall?

201
121
41
36

Answers

Answer:

the answer is 41

Step-by-step explanation:

C. 41

Step-by-step explanation:

Find an equation of the line with x-intercept 8 and y-intercept 4

Answers

Answer:

 y = -1/2x + 4

Step-by-step explanation:

We have two points ( 8,0) and ( 0,4)

We can find the slope

m =(y2-y1)/(x2-x1)

    = (4-0)/(0-8)

    4/-8

   -1/2

We can use the slope intercept form

 y = mx+b where m is the slope and b is the y intercept

 y = -1/2x + 4

Answer:

Step-by-step explanation:

eq. of line with intercepts a and b is

[tex]\frac{x}{a} +\frac{y}{b} =1\\here ~eq. ~of ~line~ is ~ \frac{x}{8} +\frac{y}{4} =1\\or x+2y=8\\[/tex]


Use the number line to plot –3, 1, and 3.

Which statements are true? Select all that apply.
–3 > 1
–3 = 3
1 < 3
–3 < 1

Answers

Answer:

Options 3 and 4 are correct

Step-by-step explanation:

-3>1 is false bc a positive is always greater than a negative

-3=3 is false because a positive is not equal to a negative  

1<3 is correct because 1 is less than 3

-3<1 is correct because a negative is always less than a positive.

Answer:

1 < 3

–3 < 1

Step-by-step explanation:

The sum of two consecutive cube numbers is 341. Work out the two numbers. (2 marks)

Answers

Answer:

63 and 53

Step-by-step explanation:

you could use trail and error. So:

13+23=9

33+43=91

63+73=559

53+63=341

Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.

Answers

Answer: Line EF=2

Step-by-step explanation: 11 minus 9 is equal to 2. So line EF is equal to 2.

How many solutions does the nonlinear system of equations graphed below
have?
y
10+
-10
10
-10
A. One
B. Two
0
O
C. Four
O
D. Zero

Answers

Answer:

D. zero

Step-by-step explanation:

Since the graphs do not intersect, there are zero solutions.

The number of solutions on the graph is zero

How to determine the number of solutions?

The graph shows a linear equation (the straight line) and a non linear equation (the curve)

From the graph, we can see that the straight line and the curve do not intersect

This means that the graph do not have any solution

Hence, the number of solutions on the graph is zero

Read more about non-linear graphs at:

https://brainly.com/question/16274644

#SPJ5

Find the sum and express it in simplest form.
(6u - 7c - 6) + (-2u + 4c) ​

Answers

Answer:

4u - 3c - 6

Step-by-step explanation:

Remove the parentheses and combine like factors.

(6u - 7c - 6) + (-2u + 4c)

6u - 7c - 6 - 2u + 4c

4u - 3c - 6

A bookstore decides to divide its space into three sections: nonfiction books, novels, and stationery. The bookstore wants to devote 1/6 of its space to stationery. If the total area of the bookstore is 288 square feet, and the stationery section will be 12 feet long, how wide will the stationery section be?

Answers

Answer:

Stationery section will be 4 feet wide.

Step-by-step explanation:

Total area of bookstore = 288 sq ft

Area to be devoted to stationery = [tex]\frac{1}6[/tex] of total area = [tex]\frac{1}{6} \times 288 = 48\ sq\ ft[/tex]

Length of stationery section = 12 ft

To find:

Width of stationery section = ?

Solution:

First of all, let us have a look at the area of rectangle:

[tex]A = Length \times Width[/tex]

Here, we are given the length for stationery section and area of stationery section has been calculated above.

And we have to find the Width of stationery section.

So, let us put the two values to find the third value.

[tex]\Rightarrow 48 = 12 \times Width\\\Rightarrow Width = \dfrac{48}{12}\\\Rightarrow \bold{Width = 4\ ft}[/tex]

So, the answer is:

Stationery section will be 4 feet wide.

Evaluate f (x) = 2 x torx =-5.

Answers

Answer:

-10.

Step-by-step explanation:

f(x) = 2x, x = -5.

f(-5) = 2(-5)

= 2 * (-1) * 5

= 10 * (-1)

= -10.

Hope this helps!

Add the matrices to find the answer.

Answers

Answer:

[tex]\large \boxed{\mathrm{Option \ C}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

Other Questions
Genes, Chromosomes, and DNA Quick CheckIf one half of a DNA molecule has 8 thymine bases, what else is also true about the DNA molecule? ( point)There will be 16 total bases.There will be 32 total bases.There will be 8 adenine bases.There will be 8 cytosine bases. Find the constant of proportionality (r) in the equation y = r x Why is this excerpt a good example of a feature oftenfound in a myth?It features a reference to the earth.It features a reference to the sky.It features a reference to the origin of the tribe.It features a reference to a supernatural being. sanskrit word meaning in hindi What is the probability of drawing 3 kings and 2 aces in a 5 card hand of poker? Which describes a grizzly bears habitat? all the biotic factors in the ecosystem all the abiotic factors in the ecosystem the role of the bear in the ecosystem the physical area where the bear lives The triangle shown on the graph above is rotated 90 degrees clockwise about the original to form triangle PQR which of the following are the (x,y) coordinates of the point P Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. Does the situation involve permutations, combinations, or neither? Choose the correct answer below. A. B. C. Neither. A line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects. Do I deserve life..? T-T What is 3 divided by 2,127 NEED HELP ASAP Which is best described as a part of the interior of a circle bounded by an arcand the two radii that share the are's endpoints? 5.15 LAB: Count input length without spaces, periods, or commas Given a line of text as input, output the number of characters excluding spaces, periods, or commas. Ex: If the input is: What are responsibilities of entrepreneurs? Check all of the boxes that apply.to own businessesto work for companiesto be responsible for employeesto be responsible to stakeholders (05.05 MC) Exposing human subjects to experimental manipulations such as high levels of toxins is unethical. We often use model organisms for this reason. What attributes would you look for in selecting a good model organism for investigating the impact of toxins in humans? A good model organism should be able to be easily maintain in the laboratory, be fast growing, with a fast generation time and be as closely related to humans as possible. Cost is the only consideration in selecting a model organism, since all living things are made of cells anything found will apply to humans. The best choice will must be the very closely related to humans, such as chimps, since anything found in other species will not apply to humans. The most important consideration in selecting a model organism is how the public will feel about doing experiments on that species, so the best choice would generally be a very simple organism like bacteria that people don't care very much about. In Art Class, you designed a rectangle stained glass window. Thelength is (2x+2) inches, and the height is 6x. What is the perimeter ofthe window? (Hint: draw a diagram and label the sides) WILL GIVE BRAINLY PLEASE HELP!!!!A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle. The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form? x2 99 = 0 x2 99x = 0 x2 + 5x + 104 = 0 x2 + 5x 104 = 0 Describe the basic platform of any US political party outside of Democrats and Republicans. what is the most likely meaning of inauspicious Shelley has been hired as a marketing specialist at a large, international firm. On Shelley's first day of work, she attends an orientation session. Which of the following is LEAST likely to be addressed during Shelley's orientation program?a. Company policies and rulesb. Organizational structurec. Daily and weekly task requirements When U.S. goods become more expensive relative to foreign goods, exports will __________ and imports will __________.