simplify (1+3i) + (2-5i)​

Answers

Answer 1

Answer:

3 - 2i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Algebra II

Imaginary number i = √-1

Step-by-step explanation:

Step 1: Define

Identify

(1 + 3i) + (2 - 5i)

Step 2: Simplify

[Addition] Combine like terms:                                                                        3 + 3i - 5i[Subtraction] Combine like terms (i):                                                               3 - 2i

Related Questions

Use the remainder theorem to find P(2) for P(x) = -x^3 + 4x^2 + 4

Answers

Answer:

12

Step-by-step explanation:

P(2)=-2³+4(2)²+4=-8+16+4=12

A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 16% of all applications were from minority members, and exactly 15% of the 2100 open positions were filled by members of the minority.

Required:
a. Find the mean of p, where p is the proportion of minority member applications in a random sample of 2100 that is drawn from all applications.
b. Find the standard deviation of p.

Answers

Answer:

a) The mean is of [tex]\mu = 0.16[/tex]

b) The standard deviation is of [tex]s = 0.008[/tex]

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Question a:

Exactly 16% of all applications were from minority members

This means [tex]p = 0.16[/tex], and thus, the mean is of [tex]\mu = p = 0.16[/tex]

b. Find the standard deviation of p.

2100 open positions, thus [tex]n = 2100[/tex].

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]s = \sqrt{\frac{0.16*0.84}{2100}}[/tex]

[tex]s = 0.008[/tex]

The standard deviation is of [tex]s = 0.008[/tex]

In one hour Dele walks 8km. How
long will it take her to walk 14km at
the same rate?

Answers

Answer:

1.45 h

Step-by-step explanation:

common factor of 8 and 14 is 2.

every 2km dele takes 15 minutes.

we know this because 15 minutes is 1/4 of an hour and 2km is 1/4 of 8km

14km/2km = 7

7*15 minutes = 1.45 hours

Answer:

1.75 hours/ 1hr 45 min

Step-by-step explanation:

1hr = 8 Km

?? = 14 Km

= (14km × 1hr)/ ( 8km)

= 1.75hours

= 1hr 45min

Belief in UFOs A survey found that of people believe that they have seen a UFO. Choose a sample of people at random. Find the probability of the following. (a) At least 3 people believe that they have seen a UFO.(b) 2 or 3 people believe that they have seen a UFO.

Answers

Answer:

b is the answer am not sure you know

Answer:

a) 3/10

b)3/10

Step-by-step explanation:

let the sample of people be 10

so,

a) total outcome=10

favourable outcome=3

P(seeing a UFO)= 3/10

b) total outcome=10

favourable outcome=2 or 3

P(seeing a UFO)= 2/10+3/10-(2/10

5/10-2/10

=3/10

Time (hours) 3.2, 4.8, 7.2, t, 12.4
Distance (miles) 80, 120, 180, 245, t

Answers

Answer:

t=2 plz mark me as brainliest

Step-by-step explanation:

Price: 32.80
Sales Tax rate: 8.5%

Answers

Answer:

The new price of this thing you're buying is about $35.58.

Step-by-step explanation:

To find the new price you could find 8.5% of 32.80 then add it to 32.80. That would give you the new price, or you could simply find 108.5% of 32.80. That one has less steps, so Im going to go with that.

What is 108.5% of 32.80?

Let's set up an equation then solve.

108.5% · 32.80 = X

1.085 · 32.80 = 35.588

The new price of this thing you're buying is about $35.58.

PLEASE HELP ME OUT

Find the value of n in the equation 8 + 2n = 14.

n=____​

Answers

N=3 explanation: subtract 8 from 14 then divide it by two

3 tons of topsoil cost $2,040.00. What is the price per pound?

Answers

Answer:

$0.34/pound

Step-by-step explanation:

1 ton = 2000 pounds

3 tons = 6000 pounds

-------------------------

2040/6000 = $0.34/pound

Find cos 0, tan 0, and csc0 where 0 is the angle shown in the figure. Give exact values, not decimal approximations. (plz help!)​

Answers

Step-by-step explanation:

everything can be found in the picture

The dot plots below show the ages of students belonging to two groups of painting classes: Based on visual inspection, which group most likely has a lower mean age of painting students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.

Answers

Answer:

it's group A because they have more reliable sources

i need the
[tex] \sin(0) [/tex]
of the Triangle​

Answers

Answer:

sinθ = 4/5

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle = θ

Opposite Leg = 4

Hypotenuse = 5

Step 2: Find

Substitute in variables [sine]:                                                                              sinθ = 4/5

Answer:

4/5

Step-by-step explanation:

The sine of the angle theta is the ratio   opposite side / hypotenuse, which

here is

sin theta = 4 / 5

PLEASE HELP ME WILL MARK YOU IF YOU HELP(please answer all of them >_<)

Answers

Answer:

See below.

Step-by-step explanation:

Problem 2.

Left figure: 2 sides and included angle: SAS

Middle figure: 2 angles and included side: ASA

Right figure: 3 sides: SSS

Problem 3.

CPCTC = corresponding parts of congruent triangles are congruent

x/4 - 3 = -7

what is x equal to?

Answers

Answer:

x=-16

Step-by-step explanation:

x/4-3=-7

x/4=-4

x=-16

What is the solution to the HELP HELP equation m+4
m2
-?
m2-16
4-m
Om =-4
O m = -2
Om = 2.
Om = 4

Answers

Answer:

m = -2

Step-by-step explanation:

[tex]\frac{m}{m+4} + \frac{4}{4-m} = \frac{m^2}{m^2-16}\\\\\frac{m}{m+4} + \frac{4}{-(m-4)} = \frac{m^2}{m^2-16}\\\\[/tex]                      [tex][ \ ( 4 - m) = - (m -4) \ ][/tex]

[tex]\frac{m}{m+4} + \frac{-4}{(m-4)} = \frac{m^2}{m^2-16}\\\\[/tex]                        [tex][ \ \frac{a}{-b} = \frac{-a}{b}\ ][/tex]

[tex]\frac{m}{m+4} - \frac{4}{m-4} = \frac{m^2}{m^2-16}\\\\[/tex]                         [tex][ \ \frac{x}{y} + \frac{-a}{b} = \frac{x}{y} - \frac{a}{b} \ ][/tex]

[tex]\frac{m(m-4)-4(m+4)}{(m-4)(m+4)} = \frac{m^2}{m^2-16}\\\\\frac{m^2 -4m -4m-16}{(m^2-16)} = \frac{m^2}{m^2-16}\\\\[/tex]                     [tex][ \ T aking \ LCM \ and \ simplifying\ ][/tex]

[tex]m^2 - 8m -16 = m^2[/tex]                           [tex][ \ \frac{a}{b} = \frac{c}{b} => a = c \ ][/tex]

[tex]m^2 - m^2 - 8m - 16 = 0\\\\0 -8m = 16\\\\-8m = 16 \\\\m = \frac{16}{-8} = -2[/tex]

Find the value of
[tex]3 \frac{1}{5} \div \frac{8}{20} [/tex]


Answers

Answer:

[tex]{ \bf{3 \frac{1}{5} \div \frac{8}{20} }} \\ = \frac{16}{5} \div \frac{8}{20} \\ { \boxed{ \tt{reciprocal \: of \: \frac{8}{20} = \frac{20}{8} }}} \\ \therefore \: = \frac{16}{5} \times \frac{20}{8} \\ = \frac{320}{40} \\ { \bf{ answer : 8}} \\ \\ {\underline{\tt {\blue{becker \: jnr}}}}

[/tex]

3 1/5 must first converted into 16/5
Then, we can change the division into multiplication by changing 8/20 into it’s reciprocal, 20/8.
This gives us 16/5 * 20/8.
We can then simplify this to 2/1 * 4/1
You then multiply the two fractions to get 8/1 which is equivalent to 8.

Find the mean birth weight of these 29 babies

Answers

Answer:

The mean is 6.14

Step-by-step explanation:

Given

See attachment

Required

The mean

Mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{5 * 4 + 10 * 6 + 14 * 7}{29}[/tex]

[tex]\bar x = \frac{178}{29}[/tex]

[tex]\bar x = 6.14[/tex]

Hello! i really need help with this question.

Answers

Answer:

Option C

Step-by-step explanation:

Since,

Ray starts from point O and goes endlessly through point M so, the direction of Ray will be ---> on OM.

Answer:

C

Step-by-step explanation:

Starting from O then moving towards M

Given m||n, find the value of x.

Answers

X SHOULD be 131 because 180 is an straight line and 180-49=131. Then 49 is the other number on the other side of the x because of some rules.

How many exterior walls does the building have?

Answers

Answer:

18

Step-by-step explanation:

360÷20=18

twentycharactersignorethis

the building has 16 exterior walls

(x+4)(x^2-5x+3) multiply the polynomials

Answers

9514 1404 393

Answer:

  x^3 -x^2 -17x +12

Step-by-step explanation:

Use the distributive property and collect terms.

   (x +4)(x^2 -5x +3) = x(x^2 -5x +3) +4(x^2 -5x +3)

  = x^3 -5x^2 +3x +4x^2 -20x +12

  = x^3 -x^2 -17x +12

A​ student's course grade is based on one midterm that counts as 20​% of his final​ grade, one class project that counts as 10​% of his final​ grade, a set of homework assignments that counts as 50​% of his final​ grade, and a final exam that counts as 20​% of his final grade. His midterm score is 63​, his project score is 89​, his homework score is 92​, and his final exam score is 77. What is his overall final​ score? What letter grade did he earn​ (A, B,​ C, D, or​ F)? Assume that a mean of 90 or above is an​ A, a mean of at least 80 but less than 90 is a​ B, and so on

Answers

Answer:

85 i guess

Step-by-step explanation:

A researcher suspects that people who are abused as children tend to be more prone to severe depression as young adults. She prepares a questionnaire that measures depression and that also asks many personal questions about childhood experiences. Think about how an appropriate description of the purpose of this research would be written (to be read by subjects) in order to obtain their informed consent. You must balance the conflicting goals of not deceiving the subjects about what the questionnaire will tell about them and not biasing the sample by scaring off people with painful childhood experiences.Based on this criteria, which of the statements is an appropriate description of the purpose of the research, that would be read by subjects in order to obtain their informed consent? Pay close attention to the wording of each description. a. The purpose of this research is to study whether people who are abused as children tend to be more prone to severe depression as young adults. b. The purpose of this research is to study whether childhood abuse tends to cause severe depression in young adults. c. The purpose of this research is to study whether severe depression is a result of people having bad experiences in childhood. d. The purpose of this research is to study how childhood experiences are related to risk of depression. e. The purpose of this research is to study different experiences people have had in childhood.

Answers

Answer:

d. The purpose of this research is to study how childhood experiences are related to risk of depression.

Step-by-step explanation:

This answer satisfies the requirements of the question as it uses mild language that will not scare off respondents while also maintaining transparency and truthfulness. This can be seen in wordings such as;

a. Childhood experiences: Instead of explicitly using the term child-hood abuse which can scare off respondents, this phrase uses a milder form of the word that is also not dishonest in itself.

b. Risk of depression: Instead of using heavy terms such as "severe depression," or shady terms like "bad expreciences," the phrase, "risk of depression," helps the subjects to honestly identify what the question is about in a mild way.

What is the domain of the relation {(-3,-8) (-2,9) (1,-1) (5,3)}

Answers

Domain = x-components

Therefore,Domain = {-3,-2,1,5}

Answer:

Domain = x-components

Therefore, Domain = {-3,-2,1,5}

Step-by-step explanation:

Which number line represents the solution set for the inequality? HELP PLEASE

Answers

Answer:

sorry i dont know next time ill surely help when i know.

Triangle LMN is reflected on y = x and then translates to the left one unit. Which of the following graphs represents the sequence of transformations that maps triangle LMN onto its image?

Answers

The attached graph represents the sequence of transformations

How to determine the sequence?

The coordinates of the triangle LMN are

L = (-6, 1)

M = (-4, 3)

N = (-1, 1)

When reflected on y = x, we have:

L' = (1, -6)

M' = (3, -4)

N' = (1, -1)

When translated 1 unit left, we have:

L'' = (0, -6)

M' = (2, -4)

N' = (0, -1)

See attachment for the sequence of transformations

Read more about transformation at:

https://brainly.com/question/11709244

#SPJ1

giving brainliest please answer

(answer D is) Marco's, George, Andy, Rubens


A
B
C
D
?​

Answers

A is right. Every 2nd person

PLS HELP ITS DUE AT 11:10

Answers

Answer:

Scalene.

Step-by-step explanation:

It's scalene because non of the triangle's sides are congruent.

share 560 in a ratio of 3 : 5 among two people, how much does each get​

Answers

Step-by-step explanation:

Let the ratio constant be 'x'

Sum of the ratios=3x+5x=8x

First person gets:-

3/8 x 560 = 210

Second person gets:-

5/8 x 560 = 350

28
Here are two rectangles.
Р
e
B
D
S
R
QR = 20 cm
BC = PQ
The perimeter of ABCD is 52 cm
The area of PQRS is 90 cm?
Find the length of AB.

Answers

9514 1404 393

Answer:

  21.5 cm

Step-by-step explanation:

Consider rectangle PQRS. Its area is ...

  A = LW

  90 cm² = PQ×QR = PQ×(20 cm)

  (90 cm²)/(20 cm) = PQ = 4.5 cm . . . . . . BC has this value, too

__

Consider the perimeter of ABCD. It is given by ...

  P = 2(L +W)

  52 cm = 2(AB +BC) . . . . substitute known value for P

  26 cm = AB +4.5 cm . . . . use known value for BC, divide by 2

  21.5 cm = AB

Find the area of the following shape:

Answers

Answer:

36cm^2

Step-by-step explanation:

total area: 6x(4+3)=42

total area excluding the space: 42-(2x3)=36

Answer:

36 cm squared

Step-by-step explanation:

To solve this problem, I first construct a line. (shown in yellow in the first photo)

I then find the area of the top rectangle. (6 cm * 4 cm = 24 cm squared.)

Next, I find the area of the lower rectangle. But...to do that I have to find the length of the line that I constructed. To do this, I do  6cm-2cm=4cm.

Then I can find the area of the lower rectangle. (4cm*3cm=12cm squared.)

add up the area of both of the rectangles and.........12+24=36 cm squared

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