Simplify and write your answer in the form a+bi.
10/1+2i (this is a fraction)

Answers:

A. 10-20i/5
B. 2-4i
C. 1-2i
D. 10+5i

Answers

Answer 1

[tex]\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i[/tex]


Related Questions

Please help? Im stuck.

Answers

Answer:

which solution are you looking for?

Step-by-step explanation:

Solving for X would be: x<0

Graph inequality would be the left side shaded i think

What is the purpose of an assignment statement?
to assign a programming language
to assign an editor to a program
to store a value in a variable
to assign a debugging routine

Answers

Using programming concepts, it is found that the purpose of an assignment statement is:

to store a value in a variable

In programming, examples of assignment statements are:

x = 2, which stores the value 2 at the variable x.y = x + 3, which stores the value stored at variable x added to 2 at variable y.

From the bullet-points, we have that the key-word is stores, hence, storing a value in a variable is the purpose of an assignment statement, and the correct option is:

to store a value in a variable

You can learn more about assignment statements at https://brainly.com/question/3949761

Answer:

The answer would be to store a value in a variable.

Step-by-step explanation:

I took the test and got it right.

Convert the binary number 10101 to its base 10 equivalent.

12
21
22
31

Answers

10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

Here see below

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

I will mark brainiest fast send answers plz!!!!

Answers

Answer:

D

Step-by-step explanation:

Marcus will walk 9 miles in 2 hours, so its 9/2 to find how many miles he will walk in 1 hour

What is the surface area? 10 mm
7 mm
4 mm

Answers

Answer:

Perhaps 270 mm^2, if it is a box.

Step-by-step explanation:

What shape is this?  A box?

If a box:

There are 6 faces:

1.   2 ends:  7mm x 4mm  = 28 mm^2/end

2.  2 sides:  10mm x 7mm  = 70 mm^2/side

3.   top and bottom:  10mm x 4 mm = 40 mm^2/each

====

Totals:

1.    56 mm^2

2.  140 mm^2

3.   80 mm^2

Total  270 mm^2

Jada types 120 words per minute how many words does jada type in 1.5 minutes

Answers

Answer:

180

Step-by-step explanation:

Solve the following equations

1. 83x= 1/256
2. 243 3-p= 3 p -3

Answers

Here are ur answer.......

Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that month are taken. Let X = the number of defective chips in the sample. What are the mean and standard deviation of X?

Answers

Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The mean of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

Six percent of computer chips produced by Cheapo Chips are defective, hence [tex]p = 0.06[/tex].Each month a random sample of 200 chips manufactured that month are taken, hence [tex]n = 200[/tex]

Then:

[tex]E(X) = np = 200(0.06) = 12[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36[/tex]

The mean of X is of 12, with a standard deviation of 3.36.

A similar problem is given at https://brainly.com/question/12473640

Someone please help me asap I beg you guys please I’ll mark BRAINLIEST

Answers

Answer:

y = 3

x = 2 is your answer may be

Answer:

y=4/3x+5

Step-by-step explanation:

help me please!!!!!!!!!!

Answers

Answer:

-35

Step-by-step explanation:

69 points from simplord

Answers

answer:
thank you. have a nice day!

Describe the following change as both an absolute change in terms of Percentage Points, and as a relative change in terms of a percentage.

The annual interest rate for Jack's savings account increased from 2.3% to 2.8%.

Answers

Answer:

0.5%

Step-by-step explanation:

please help i will mark brainliest

Answers

Answer:

. (5,20)

Step-by-step (x,y)=(5,20)

5, 20



Hope this helps

Find the vertical asymptote(s) of f of x equals quantity x squared plus 3x plus 6 end quantity over quantity x squared minus 4.

Answers

Answer:

  x = -2, x = 2

Step-by-step explanation:

The denominator factors as ...

  x^2 -4 = (x -2)(x +2)

The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.

8 to the 9th power over 8 to the 7th power simplified?

Answers

Answer:

64

Step-by-step explanation:

8^9/8^7

Subtract the 9 and 7 which equals 2

Which is 8^2

8^2 is 64

Thus the answer is 64

Hope this helps!

the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot how many are trucks

Answers

Step-by-step explanation:

cars : trucks = 3 : 5

there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.

these 8 parts (or the whole) are in total 360.

therefore, 1 part = 360/8 = 45

cars get 3 parts of the whole parking lot, that is

45 × 3 = 135 cars

trucks get 5 parts of the whole parking lot, that is

45 × 5 = 225 trucks

write tan(t)/cos(t) in terms of sin(t)

Answers

[tex]\dfrac{\tan t}{\cos t}\\\\\\=\dfrac{\tan t \cdot \cos t}{\cos t \cdot \cos t}\\\\\\=\dfrac{\sin t}{\cos^2 t}\\\\\\=\dfrac{\sin t}{1 - \sin^2 t}\\[/tex]

PLS help its the last question

Answers

Answer:

D

Step-by-step explanation:

Consider the reaction. Upper n subscript 2 (g) plus 3 upper H subscript 2 (g) double-headed arrow 2 upper N upper H subscript 3 (g). At equilibrium, the concentrations of the different species are as follows. [NH3] = 0. 105 M [N2] = 1. 1 M [H2] = 1. 50 M What is the equilibrium constant for the reaction at this temperature? 0. 0030 0. 030 34 340.

Answers

The equilibrium constant of the reaction is 0.0030.

The equation of the reaction is given as;

N2(g) + 3H2(g) ⇆ 2NH3 (g)

We have the following information at equilibrium;

[NH3] = 0.105 M

[N2] = 1.1 M

[H2] = 1.50 M

Hence, we can calculate the equilibrium constant using the relation;

K = [NH3]^2/ [N2]  [H2]^3

Substituting values;

K = [0.105]^2/[ 1.1] [1.50]^3

K =0.011025 /3.7125

K= 0.0030

Learn more: https://brainly.com/question/17960050

PLSSSS HELPPPPPPOP
Solve each equation for the indicated variable
1) G = 6x , for x
2) U = 2x - 2 , for x
3) Z = m - x , for x
4) G = ca , for a
5) U = x - k , for x
6) G = c + x , for x
7) U = k/a , for a
8) g = xc , for x
9) 12 am = 4 , for a
10) -3 x + 2c = - 3 , for x
11) am = n + p , for a
12) U = ak/b , for a
13) a - c = d - r , for a
14) xm = np , for x

Answers

Answer:

Step-by-step explanation:

1) G = 6x , for x:                G/6

2) U = 2x - 2 , for x:          (1/2)U + 1

3) Z = m - x , for x:              m - Z

4) G = ca , for a:                   G/c

5) U = x - k , for x:                  U + k

6) G = c + x , for x:                G - c

7) U = k/a , for a:                    k/U

8) g = xc , for x:                     g/c

9) 12 am = 4 , for a:                 a = 1/(3m)

10) -3 x + 2c = - 3 , for x:         x = 1 +(2/3)c

11) am = n + p , for a:              (n+p)/m

12) U = ak/b , for a:                      U(b/k)

13) a - c = d - r , for a:                      a = d - r + c

14) xm = np , for x:                np/m

Your piggy bank has $85 and each day you take out $3. You want to have at least $22 left in your piggy
bank. How many days did you take money from your piggy bank?

Answers

you’ll be able to take out $3 for 21 days

$2,000 loan at 8% for 5 years.

Answers

Answer:

$2,800 = Principle + Interest

Step-by-step explanation:

Using PRT/100, let's find the interest.

=> 2,000 x 8 x 5/100=> 20 x 8 x 5=> $800

Conclusion:

Therefore, the interest plus principle is 2,000 + 800, which is $2,800.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Yeahhh what they said ^^^^

What is the slope of the line shown below?
2
03
O 1/3

Answers

Answer:

1/3

Step-by-step explanation:

the y increases by 3 in the line while at the same time x is increased by 1. x/y for slope, so itd be 1/3

help me pleaseeeeeeeeee

Answers

Answer:

See image

Step-by-step explanation:

For this question, you need to know several special relationships about circles. A radius goes from the center of a circle to any point on the circle. All the radii (not a typo, plural of radius is radii) are the same size, their measures are equal; we say they are congruent (the symbol is an equal sign with a ~over it)

In the diagram, OA and OB are congruent because they are radii. AC is a tangent, that means that it touches the circle at exactly one point, in this case at A. So since OA is a radius and AC is a tangent, they are perpendicular to each other (makes 90° angles). Then we can subtract 90 - 72 to find the angle OAB. Angle OAB is 14°. In triangle AOB, which has two sides the same, the opposite angles will also be congruent which means OBA is also 14° (OR you could use the exact same logic for OB perpendicular to BC and subtract, same calculation as before) . Once you have the two 14° angles in the triangle, you can use the fact that all the angles in a triangle add up to 180° So then, 14 + 14 + x =180. Solve this equation to find angle AOB. See image.

Angelina has 32 cookies. Jerry had 51 cookies. If Jerry stole 14 of Angelina's cookies but then gave her 28 cookies, how many cookies do Jerry and Angelina have left?

Having a hard time!

Answers

Answer: They have 83 cookies all together.

Step-by-step explanation: First we have to do 32 - 14, because Merry stole 14 of Angelinas cookies, so 32 - 14 = 18. So, she has 18 cookies left. Then if he gave her 28 cookies, we do 18 + 28 = 46. So we know that Angelina has 46 cookies. Now we do the same thing with Jerry. So since jerry took 14 of Angelinas cookies, we do 51 + 14 = 65. Then we do 65 - 28, since he gave her 28 cookies, so 65 - 28 = 37. So Jerry has 37 cookies, and Angelina has  46 cookies. Then we add them up since they are asking for the total, 37 + 46 = 83.

So if Jerry stole 14 of Angelina’s cookies, then Angelina would have 18 cookies and Jerry would have 65.

This is represented as 32-14=18 and 51+14=65

Then Jerry gave 28 of his 65 cookies and he is now left with 37 cookies and Angelina is left with 46 cookies!

This is represented as 65-28=37 and 18+28=46

Hope this helps!!

4x−1<11 answer my question

Answers

Answer:

Step-by-step explanation:

Solve the subtraction equation three fifths minus one third equals blank. Use multiplication to create equivalent fractions.

two halves
two fifteenths
four eighths
four fifteenths

Answers

I got the last one, four fifteenths.

Answer:

its four fifteenths

Step-by-step explanation:

3/5 = 9/15

1/3 = 5/15

9/15 - 5/15 = 4/15

4/15 = four fifteenths

Jax is proving that the base angles of an isosceles triangle are congruent. He joins a line from
the vertex point to the midpoint of the base, as shown.
Which statement is true?
A) Since AKLM is congruent to AKNM using SSS congruency, m_KLM = m_KNM.
B) Since AKLM is congruent to ANKM using SSS congruency, m_KLM = m_KNM.
C) Since AKLM is congruent to AKMN using SAS congruency, m_KLM = m_KMN.
D) Since AKLM is congruent to ANKM using SAS congruency, m_KLM = m_KNM.

Answers

Answer: there you go

Step-by-step explanation:

Help asap please!! Full work gets brainliest!!

Answers

Answer:

7,15,20

Step-by-step explanation:

Triangle side rule : The sum of the two shorter sides must be greater than the length of the largest side.

7 , 15 and 20

7 + 15 must be greater than 20 in order for 7,15 and 20 to be sides of a triangle

7 + 15 = 22

22 > 20 is true so this might be the answer but lets check the other answer choices just in case.

( we do this same process to the other answer choices )

11 , 22 and 35

11 + 22 must be greater than 35 in order for these to be side lengths of a triangle

11 + 22 = 33

33 is not greater than 35 therefore these sides lengths can not represent sides of a triangle

7, 16 and 23

7 + 16 must be greater than 23

7 + 16 = 23

23 > 23 , this is not true so this can't be the answer.

5 + 17 must be greater than 22

5 + 17 = 22

22 > 22 this is not true so this can't be the answer.

The answer is 7,15,20

The sum of six times a number and six more than the number is the same as the difference between -30 and twice the number what is the number

Answers

Answer:

-4

Step-by-step explanation:

let the number be x

6x+(x+6)=-30-2x

7x+6=-30-2x

9x=-36

x=-4

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Common lit What makes people do bad things part b 3. In 1981, a stray black cat with unusual curled-back ears was adopted by a family in California. Suppose you were the person who owned the first "curl" cat, and wanted to develop it into its own breed. How would you determine whether the allele for curled ears is dominant or recessive? Why does it make a difference for breeders whether an allele for a trait is dominant or recessive? In relation to the structure and size of the sun how are the following achieved absorption , reflection,transmission,scattering and diffusion Write the correct name of the Cr2O3 Compound Twice the difference of a number and 4 is equal to three times the sum of the number and 10. What factors determine the type of rocks that forms underground? The nineteenth-century artistic movement that focused on the experiences of ordinary people rather than idealized or exotic subject matter is called what is the function of the tympanic membrane in a frog 7.Identify the part of the human digestive system.a)Site where digestion begin:b)Site of final digestion: c)Peristalsis: d)Absorption of digested food: e) Absorption of water: How do you know 72/80 is greater than 7/8? Explain explain the Canadian labour congress's no sweat campaign why pulmonary artery is in violet in colour? Help pls!Which of these describes a chemical property of a substanceO A: Waxs Tendency to Melt at 37 degrees Celsius O B: Golds Tendency to stay shiny O C: Papers tendency to tear O D: Sugars tendency to dissolve in water graph the relation y=2x A can contains 48 cups of fruit juice. How many gallons of fruit juice does the can contain? Temporary Aid to Needy Families (TANF) a. A welfare program that replaced AFDC in 1996. It introduced a new education requirement that was designed to push welfare recipients into special college and GED programs. b. A welfare program that replaced Social Security in 1965. It introduced a work requirement that was designed to push welfare recipients into the low wage labor market. c. None of the other answers. d. A welfare program that replaced AFDC in 1996. It eliminated the New Deal era work requirement that many people believed was designed to effectively re-enslave African Americans. e. A welfare program that replaced AFDC in 1965. It introduced a work requirement that was designed to push welfare recipients into the low wage workforce. Select the correct locations on the map. In which four regions did the world's first farmers live? Solve -2/3x > 8 or -2/3x < 4.{x | x > -12 or x < -6}{x | -12 < x < -6}{x | x < -12 or x > -6} Help help help help help 6. Expand the brackets: a) 3(x - y) )