Simplify the given expression below: (2 points) 2 divided by the quantity of 2 plus 5i

Answers

Answer 1

Answer: The given expression "2 divided by the quantity of 2 plus 5i" can be translated as 2/(2+5i). Simplifying expressions aim is to simplify it into its simplest form. Since i = √-1 substitute it into the expression.

2/(2+5√-1)

then multiply it by 2-5√-1 on the numerator and denominator and we have

[2(2 - 5√-1)] / [4 - 25(1)]

(4-10√-1)/(-21)

Answer 2

Answer:7

Step-by-step explanation:


Related Questions

Given: O ∈ AB , ON is ∠ bisector of ∠AOC, OF is ∠ bisector of ∠COB, m∠FOB=70°. Find: m∠AON

Answers

Answer:

AOC = 20 degrees

Step-by-step explanation:

We know that FOB is 70 degrees, and COF is 90 degrees. So just add 70+90 and get 160 degrees. Then you subtract that from AOB which is 20 degrees.

Is “12.95 x 10^4” a Scientific Notation? Yes or No? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. and that is something Very similar.

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On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for
$227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets.
Find the price of an adult ticket and the price of a child ticket.

Answers

Answer:

Adults $10

Child: $6

Step-by-step explanation:

I took the test

The price of an adult ticket and the price of a child ticket are $12 and $13.

What is the system of equation?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

On the first night,

the Movie House Theater sold 7 adult tickets and 11 child tickets for $227.

On the second night, they took in $150 by selling 6 adult tickets and 6 child tickets.

Let x be the number of tickets sold to an adult and y be the number of tickets sold to a child.

According to the question,

7x + 11y = 227   equation 1

and 6x + 6y = 150,

Simplifying,

x + y = 25   equation 2

Now, we have a system of equations.

7x + 11y = 227   equation 1

x + y = 25   equation 2

From the equation 2 we have,

y = 25 - x

Substitute the value of y to the equation 1,

7x + 11(25-x) = 227

7x + 275 - 11x  = 227

275 - 227 = 4x

x = 48/4

x = 12

Then y = 25 - 12

y = 13.

Therefore, the prices of ticket for adult's and children are $12 and $13 respectively.

To learn more about the system of equation;

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PLEASE, I NEED HELP ASAP!!!!!!!!
What is the equation of the line that goes through A(3,2) and B(4,1)?
a) What is the slope?
b) What is the y intercept?
c) Use a and b to write the equation

Answers

Answer:

the slope is -1

the y-intercept is 5

equation: -x+5

Step-by-step explanation:

rise/run = slope

the point that goes through the y-axis is ur y-intercept

Which is a unit rate?
INS
80 miles in 4 hours

50 miles on 3 gallons
25 miles per 1 gallon
40 miles per 0 hours

Answers

Answer:

my answer for this question is 195

Step-by-step explanation:


3. Is the relation {(1,2), (3, 10), (2,8), (5,
10)} a function?
a) yes
b) no
a

Answers

Answer:

the answer is yes

Step-by-step explanation:

PLEASE HELP FAST!! Use a graphing calculator to graph the function y=90tan2x on the interval 0 degrees< x < 180 degrees and -300 < y < 300 Evaluate the function at x= 60 degrees, 120 degrees, and 180 degrees Round to the nearest tenth. a. 165.9, 165.9, 0 c. -1.7, 1.7, 0 b. -155.9, 155.9, 0 d. 155.9, -155.9, 0

Answers

Answer: use desmos graphing calculator

Step-by-step explanation:

Answer:

b.  –155.9, 155.9, 0

Step-by-step explanation:

I just did the practice.

please help!!!!!!!!! ​

Answers

Answer:

1) 1:100

2)200 ml

3) 1:50:100

Step-by-step explanation:

Egg to milk = 3:100 or 1:100

3:100=2:x x=200

Eggs to flour to milk=

3:150:300.

Or 1:50:100

Hope this helps plz mark brainliest :D

Y-4=-2(x+3)y−4=−2(x+3)y, minus, 4, equals, minus, 2, left parenthesis, x, plus, 3, right parenthesis Complete the missing value in the solution to the equation.

Answers

Answer:

4

Step-by-step explanation:

just did it

Answer:

3

Step-by-step explanation:

Khan Academy

Please help! Thanks thO!

Answers

Answer:

8

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle

7x - 4 + 9x + 4 = 128° add like terms

16x = 128 divide both sides by 16

x = 8

PLEASE HELP
find the first 5 terms in the sequence
A) 6, 12, 24, 48, 96
B)1, 2, 3, 4, 5
C)6, 7, 8, 9, 10
D) 6, 11, 21, 41, 81

Answers

Answer:

The first five terms are 6, 11, 21, 41, 81 ⇒ D

Step-by-step explanation:

∵ The rule of the sequence is a(1) = 6; a(n) = 2 a(n - 1) - 1 for n ≥ 2

∴ The first term of the sequence is 6

∴ The value of n represents the position of the term

∵ n = 2

∴ a (n - 1) = a(2 - 1) = a1

∵ a1 = 6

→ Substitute a1 by 6

∴ a(2) = 2(6) - 1 = 12 - 1

a(2) = 11

∵ n = 3

∴ a (n - 1) = a(3 - 1) = a2

∵ a2 = 11

→ Substitute a2 by 11

∴ a(3) = 2(11) - 1 = 22 - 1

a(3) = 21

∵ n = 4

∴ a (n - 1) = a(4 - 1) = a3

∵ a3 = 21

→ Substitute a3 by 21

∴ a(4) = 2(21) - 1 = 42 - 1

a(4) = 41

∵ n = 5

∴ a (n - 1) = a(5 - 1) = a4

∵ a4 = 41

→ Substitute a4 by 41

∴ a(5) = 2(41) - 1 = 82 - 1

a(5) = 81

∴ The first five terms are 6, 11, 21, 41, 81

What is the value of x? Please provide an explanation, thanks!

Answers

Answer:

x=97/5

Step-by-step explanation:

let y be the opposite angle,

6x-11 + y = 180( sum of opposite angles)

y=180+11-6x

y=191 - 6x

thus, 81+x+5+191-6x=180(angle sum property)

-5x=-97

x=97/5

How do I divide decimals?​

Answers

Answer: move the point or decimal

Step-by-step explanation: you just remove the decimal that means the point the devide and put it back

Can someone please actually help me with my math assignments

Answers

what are the assignments?


Which relation is not a function?

Answers

Answer:

B.

Step-by-step explanation:

You can't have the same X values for two different Y values

in this case 19 goes with 11 and 10 in the pairs (19,11) and (19,10)

Please someone please help, will mark you Brainliest


Read the problem carefully and write the required information:


Community Gym charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will that amount be?


What are you looking for?


Define a variable:


Write the equation:



Solve the equation:


What will the amount of money be when the total amount of money paid to both gyms is the same?

Answers

Answer:

Step-by-step explanation:

Community gym

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

On the 15th month, community gym and workout gym will both get the same amount of $875.

Answer: what are you looking for? after how many months will the total amoung of money paid to both gyms be the same? Define a variable: I'm not sure. Write the equation, community Gym 50 + 55(x), workout gym 200 + 45(x), solve the equation. on the 15th month, community gym and workout gym will both get the same amount of $875.

Step-by-step explanation:

i need to know where to graph it too

Answers

Step-by-step explanation:

y=2x+3

y=3x+3

(Use the elimination method)

y=2x+3(-3) = -6x-9

y=3x+3(2) = 6x+6

(subtract the new equations)

y= -3

(Now find X)

(plug in y in any equation and solve)

y=2x+3

(-3)=2x+3

0= 2x X= 0

or you can just graph the lines go to three on the Y axis put a point go up the y-axis two and over 1 and plot another point.

go to three on the y-axis and plot a point. go up three on the y-axis and over 1

Hai came someone help I too lazy to do it...

Answers

Answer: 4 Cups

I think in order to solve this, you would need to add up the fractions that they used. So it would be,

[tex]\frac{1}{4}+\frac{1}{4}+\frac{3}{8}+\frac{3}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{7}{8}[/tex]   Transform the Expressions

[tex]\frac{1+1}{4} +\frac{3+3+5+5+5+7}{8}[/tex]    Calculate the sum

[tex]\frac{2}{4} +\frac{28}{8}[/tex]    Reduce

[tex]\frac{1}{2}+\frac{7}{2}[/tex]   Transform the Expression

[tex]\frac{1+7}{2}[/tex]   Calculate

[tex]\frac{8}{2}[/tex]  Reduce the Fraction

[tex]4[/tex]

Please mark brainliest if this helped you :)

- 2 (k+ 3) > - 2k - 7

Answers

Answer:

-2 (k+3) > -2k -7 --> -2k-6 > -2k-7

                                +2k       +2k

                                      -6 > -7 = No Solution

Step-by-step explanation:

A ramp must be in the form of a right triangle where every vertical length(leg) of 1 ft has a horizontal length(leg) of 12 ft. What is the length of a ramp with an 18-ft horizontal leg and a 1.5-ft vertical leg? Round your answer to two decimal places.

Answers

3742 4764 4875 shush social zoo

PLZZZZ HELPPPPP!! THIS IS TIMED!!

Find the length of MN.

*LOOK AT PICTURE*

Answers

Answer:

MN = 10

Step-by-step explanation:

There is a scale factor of 2 [This means that the lengths of triangle ∆MPN are exactly 2 times larger than ∆SRQ], so 5 × 2 = 10.

Notice that each corresponding line is marked by a black mark perpendicular to the side. Since 2 corresponds to 4, and 3 corresponds to 6, 5 must correspond to 10. These triangles are similar as indicated by the marks so there is just a size difference. Because these two triangles are similar, the sides must be proportional.

∆MPN ~ ∆SRQ.

It can also be thought of as completing a set of proportional fractions:

4/2 = 6/3 = ?/5

4/2 = 2 → 6/3 = 2 → ?/5 = 2.

?/5 = 2, ? = 5 × 2 = 10.

Need help ASAP!! Tysm will mark brainliest

Answers

Answer:

about 30 then you will still fall short of that mark

HOPE IT HELP I AM NOT WANTING TO BE INCORRECT

Step-by-step explanation:

this is idiotic sense all the 3's will fall short

EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

positive one

Step-by-step explanation:

look at the position on the y axis

Answer:

(0, - 4 )

Step-by-step explanation:

The y- intercept is the value of the y- coordinate where the line crosses the y- axis.

The line crosses the y- axis at y = - 4 ← y- intercept or

(0, - 4 ) in coordinate form

help please!! i will give brainliest!!

Answers

Answer:

5/10 which is equal to 1/2 as the slope of this graph

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

To find slope, use the formula [tex]\frac{rise}{run}[/tex]

You rise 2 and run 2. [tex]\frac{2}{2}[/tex] is equal to 1. The slope is 1. Hope this helps!

Find the slope of the line that passes through (2, 4) and (9,5).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

1/7

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

Solve 2v2 – 22v + 60 = 0.
Question 6 options:

A)

v = 10, v = 12

B)

v = –10, v = –12

C)

v = –5, v = –6

D)

v = 5, v = 6

Answers

The Answer is D
V= 5 , 6

Answer:

D

Step-by-step explanation:

I took the test.

Question 1 of 10
If f(x) = 4x - 12, what is f(2)?
A. -20
B. 8
C. 4
D. -4

Answers

The answer is twelve u can sub in 2 for x

Solve m + 3.4 = 2.1.

Answers

Answer:

m= -1.3

Step-by-step explanation:

subtract 3.4 from both side and than simplify

SOLVE: 1/4 (20-4a)=6-a (show work please)

Answers

Answer:

a = 2

Step-by-step explanation:

1/4 (20-4a)=6-a

5 - 1 = 6 - a

4 = 6 - a

a = 6 - 4

a = 2

:) Hope this helps, please mark as brainliest!

The stemplot below displays the times, in seconds, for 25 students to run 100 meters.

A stemplot titled 100 meter times (seconds) has values 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.

Which of the following is the correct five-number summary?

22, 24, 26, 28, 29
23, 24.5, 26, 28, 29
22, 24, 27, 28, 30
22, 24.5, 26, 28, 30

Answers

Given:

The data values are 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30.

To find:

The five-number summary.

Solution:

We have,

22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30

Divide the data values on 2 equal parts.

(22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26), 26, (26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30)

Divide each parentheses in two equal parts.

(22, 23, 23, 24, 24, 24), (25, 25, 25, 25, 26, 26), 26, (26, 26, 27, 27, 27, 28), (28, 28, 28, 29, 29, 30)

Now,

Minimum value = 22

[tex]Q_1=\dfrac{24+25}{2}=24.5[/tex]

Median = 26

[tex]Q_2=\dfrac{28+28}{2}=28[/tex]

Maximum value = 30

So, the five number summary is 22, 24.5, 26, 28, 30.

Therefore, the correct option is D.

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