(2-i)(2+i) please lmk the answer to this question.

Answers

Answer 1
The answer would be 5
Answer 2

Answer:

[tex]5[/tex]

Step-by-step explanation:

[tex](2−i)(2+i)[/tex]

[tex]2(2+i)−i(2+i)\\ 2⋅2+2i−i(2+i) \\2⋅2+2i−i⋅2−ii[/tex]

[tex]4+2i−2i \\ 5+2i−2i \\ 5+0 \\ 5[/tex]

Hope it is helpful...

Related Questions

3p(2p - 9) - 2p(-9 + p)​

Answers

Answer:

4p² - 9p

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3p(2p - 9) - 2p(-9 + p)

Step 2: Simplify

[Distributive Property] Distribute 3p:                                                               6p² - 27p - 2p(-9 + p)[Distributive Property] Distribute -2p:                                                             6p² - 27p + 18p - 2p²[Subtraction] Combine like terms (p²):                                                            4p² - 27p + 18p[Addition] Combine like terms (p):                                                                   4p² - 9p
3p(2p-9)-2p(-9+p)
6p -27p -2p^2+12p
4p^2 -27p+18p
Combine like terms
Your answer is 4p^2 -9p

Which inequality is true?
А. Зп > 9
B. 7 + 8< 11
C. 27 -1 < 5
D. 2 > 2
SUBMIT
< PREVIOUS

Answers

9514 1404 393

Answer:

  А. Зп > 9

Step-by-step explanation:

The inequality of A may or may not be true. (It is true only if n > 3.) All of the others are definitely false.

What is the volume of the cylinder shown below?
Your response should show all necessary calculations and diagrams.

Answers

Answer:

126cm^2

Step-by-step explanation: brainliest pleaseeee!!!!

What is the sum of the polynomials?
(m + n + 3) + (m + n + 4)

Answers

Answer:

i honestly dk but need help

Step-by-step explanation:

ls

Answer:

2m+2n+7

Step-by-step explanation:

See image below:)

What are the coordinates of the point plotted on this graph?

Answers

Answer:

C

Step-by-step explanation:

Correct answer

HELP THIS IS FOR MY FINAL GRADE

Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?

Answers

Answer:

Ida makes $ 6960 in 5 weeks.

Step-by-step explanation:

Let the profit of the first week is p.

p = $ 600

Total profits of the five weeks

= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)

= 11 p + 0.6 p

= 11 x 600 + 0.6 x 600

= 6600 + 360

= $ 6960

So, Ida makes $ 6960 in 5 weeks.

Find the difference,
(20m+ 3) - (7m - 5)
A. 27m - 2
B. 13m +8
C. 27m +8
D. 13m - 2
SUBMU

Answers

Answer:

B 13m+8

Step-by-step explanation:

(20m+3) - (7m-5)

20m+3-7m+5

13m+8

The answer is B. 13m+8

what is 5a +14=3(a +2)​

Answers

Answer:

a=-4

Step-by-step explanation:

See image below:)

This is my workings

PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!

Answers

Answer:

Step-by-step explanation:

you have two disks, and one rectangle

area of the disk = π [tex]r^{2}[/tex]

47 π x 2 = 94 π (for the two disks....

rectangle area = L x W

width = 14

Length = 2*π*r = 14π

area = 14*14π = 196 π

total = 196 π + 94 π = 290 π

Answer:

The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for the surface area of a cylinder is this :

[tex]A = 2\pi rh+2\pi r^{2}[/tex]

"R" is 7, and "h" is 14. Knowing these values, let's solve.

[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824

The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest! :)

John made a small rectangular table for his workroom. If the sides of the table are 32 inches and 26 inches, what should the table measure diagonally?

Answers

Answer:

The table should measure diagonally about 41.23 inches.

Step-by-step explanation:

To find the diagonal of a rectangle we use the formula :

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.

[tex]32^{2}[/tex] + [tex]26^{2}[/tex] = [tex]c^{2}[/tex]

1024 + 676 = [tex]c^{2}[/tex]

1700 = [tex]c^{2}[/tex]

The square root of 1700 is (rounded to the hundreth's place) = 41.23

Answer:

c41

Step-by-step explanation:

What is the approximate circumference of a circle with a radius of 4?
1. 12.57
2. 25.13
3.50.27
4. 16

Answers

The answer to this question is 25.13

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 4.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The approximate circumference of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:≈\:25.13.}[/tex]

2.) 25.13

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex] = 2 \times \frac{22}{7} \times 4 \\ \\ = \frac{176}{7} \\ \\ = 25.14[/tex]

Therefore, the circumference of the circle is ≈ 25.13.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Please help me!!!!!!!!

Answers

Answer:

fraction is 75/100

decimal is 0.75

Step-by-step explanation:

because there are 75 of them that are shaded out if 100 so 75/100 and to find out in decimal 75÷100=0.75.

hope this helps u understand:)

Find the surface area of the prism. 13 in. 3 in 7 in.​

Answers

Answer:

182+78+42=302 ... 302's ya answer...Give me brainiest answer to say ty! :)

Step-by-step explanation:

The quotient of 17 and k

Answers

Answer:

17/k

Step-by-step explanation:

Quotient means division

17/k

Answer:

[tex] \frac{17}{k} [/tex]

Step-by-step explanation:

Quotient means a result obtained by dividing one quantity by another.

Hope it is helpful...

The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line? 5 m = O A. 4 B. -4 O c. 1 4 D. 4​

Answers

Answer:

-4

Step-by-step explanation:

If the lines are parallel, then they have the same slope.

If the green line has a slope of -4, then the red line has a slope of -4

Use the Pythagorean theorem to find the value for ( show work )

Answers

Answer:

x = 12

Step-by-step explanation:

x^2 + (x - 7)^2 = (x + 1)^2

x^2 + x^2 - 14x + 49 = x^2 + 2x + 1

x^2 - 16x + 48 = 0

(x - 4)(x - 12) = 0

x - 4 = 0 or x - 12 = 0

x = 4 or x = 12

One side has length x - 7.

For x = 4, x - 7 = 4 - 7 = -3.

Since a side of a triangle cannot have a negative length, x = 4 must be discarded.

Answer: x = 12

The average height of corn stalks in a field is 71 inches with a standard deviation of 4.3 inches. Sketch a normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean.

Answers

Answer:

The answer is below

Step-by-step explanation:

The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.

Given that:

mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches

One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)

Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)

Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)

The graph is attached

7) Point P is located at (4,8) on a coordinate plane. Point P will be relfected over y = x. What will bee
the coordiantes of the image of point P?
A. (28,4)
B. 24,8)
C. (4,28)
D. (8,4)

Answers

I think the answer is A 28,4 I hopes this helps

Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 15 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Kyle, Carol, and Adam are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer:

1 / 1365

Step-by-step explanation:

Given that :

Number of employees to choose from = 15

Number of employees to be chosen = 4

Probability of choosing You, Kyle, Carol and Adam

Recall ;

P(A) = number of required outcome / Total possible outcomes

Number of required outcome = 4C4

Total possible outcomes = 15C4

nCr = n! ÷ (n-r)!r!

Using calculator to save computation time :

15C4 = 1365

4C4 = 1

P(choosing you, Kyle, Carol and Adam) :

1 / 1365

what are the prime factors of the greatest 4 digit number?​

Answers

Answer:

The prime factors of the greatest 4 digit number are 3, 11 and 101.

Step-by-step explanation:

Hope it helps

The prime factors of greates 4 digit is 3,11 101

Which completely describes the polygon ? equilateral equiangular regular congruent

Answers

Answer: C) regular

Explanation:

Any regular polygon is both equilateral and equiangular.

Equilateral = all sides are equal

Equiangular = all angles are equal


Please help please and thanks

Answers

This will help a lot if you go to desmos! Just graph the equation on there! It’s much easier to see on computer

Delia bought 32 fluid ounces of fruit juice. How many gallons of juice did she buy?


A. 1
B. 0.5
C. 0.25
D. 0.2

Answers

Answer:

the answer is C. 0.25.

Step-by-step explanation:

simply converting the fluid oz into gallons.

The answer is c. 0.25

HELP! Please!

Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?

Answers

Answer:

it will take 100,000 more days.

you can do this by dividing 10 and 1,000,000

Which rule explains why these triangles are congruent?

Answers

SSS
hope this helps!!

I just need to know what is m=

Answers

Answer:

- 2

Step-by-step explanation:

Given :

Point A = (-1, 4)

Point B = (1, 0)

x2 = - 1 ; y2 = 4 ; x1 = 1 ; y1 = 0

Rise = (y2 - y1) = 4 - 0 = 4

Run = (x2 - x1). = - 1 - 1 = - 2

Slope = Rise / Run = 4 / - 2 = - 2

The slope, m = - 2

The y value is two less than twice the x-value

Answers

Candice .... who’s Candice...alll .for nothing at all

Which summation properties or formulas must be used to evaluate this summation? Check all that
apply

Answers

Given:

Summation problem is:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

To find:

The properties or formulas must be used to evaluate the given summation.

Solution:

We have,

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

In can be rewritten as:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex]        [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex]  [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]

Therefore, the properties and formula used are:

[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]

Answer: see attachment below

Step-by-step explanation:

10) Using Limit Comparison Test (LCT), the following series
+00
M:
-1 + 2n5
n6 + 1
n=1​

Answers

Compare to the divergent series,

[tex]\displaystyle\sum_{n=1}^\infty\frac1n[/tex]

Then by the limit comparison test, the given series also diverges, since the limit

[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{2n^5-1}{n^6+1}}{\frac1n} = \lim_{n\to\infty}\frac{2n^6-n}{n^6+1}=\lim_{n\to\infty}\frac{2-\frac1{n^5}}{1+\frac1{n^6}}=2[/tex]

is positive and finite.

What is the measure of angle AIN?
O
A. 95°
B. 125°
C. 55
o
O
D. 30°

Answers

Answer:

30

Step-by-step explanation:

AIN is a vertical angle to FIL, which means they ae equal

FIL = 30 so AIN = 30

Other Questions
PLSS HELP ASAP WILL GIVE BRAINLIEST Mike is saving up for a computer. He has $200 saved already. To earn more,he works part-time at a job that pays $15 per hour. Let y represent the price ofthe computer he chooses, and let x represent the number of hours he works.To purchase the computer, he will need to save at least y dollars.A. ys 200 + 15xB. y 2 200 - 15xC. ys 15x - 200D. y 2 200x + 15- PREVIOUS Please answer this quickly show the interrelationships of political aspects with health population and education Suppose a large group of people in a room were all born in the same year. Consider the following three algorithms, which are each intended to identify the people in the room who have the earliest birthday based on just the month and day. For example, a person born on February 10 is considered to have an earlier birthday than a person born on March 5. Which of the three algorithms will identify the correct people?I. All the people in the room stand up. All standing people form pairs where possible, leaving at most one person not part of a pair. For each pair, the person with the earlier birthday remains standing, while the other person in the pair sits down. If there is a tie, both people sit down. Any individual not part of a pair remains standing. Continue doing this until only one person remains standing. That person has the earliest birthday.II. All the people in the room stand up. All standing people form pairs with another standing person that they have not previously been paired with where possible, leaving at most one person not part of a pair. For each pair, the person with the earlier birthday remains standing, while the other person in the pair sits down. If there is a tie, both people in the pair remain standing. Any individual not part of a pair remains standing. Continue doing this until only one person remains standing or all persons standing have the same birthday. Anyone still standing has the earliest birthday.III. Beginning with the number 1, ask if anyone was born on that day of any month. Continue with the numbers 2, 3, and so on until a positive response is received. If only one person responds, that person has the earliest birthday. If more than one person responds, determine which person was born in the earliest month, and that person or those persons have the earliest birthday. Lemont answered 6 out of 40 questions on atest incorrectly. What percentage of thequestions did he answer correctly? ________ analysis is the statistical process of estimating the relationship between dependent and _______ variables. A. Regression, independent B. Time series, outcome C. Time series, latent D. Regression, outcome I stores having a sale on jellybeans in trail mix. For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. Find the cost for each pound of jellybeans and each pound of trail mix Who do you believe is the most fascinating famous person? The individual you choose can be living or dead. Write an entry explaining who this person is and why you think they are fascinating.Write your answer as diary entry The ability of a person to roll his tongue is due to a dominant allele T. A woman who can roll her tongue is married to a man who cannot . Two of their four children have the ability to roll their tongues , and two do not . What are the parents genotypes ?Mother: tt father Ttmother Tt Father:ttmother: tT Father Ttmother:TT father:tt PLEASE HELP A student wants to compare the amounts of CO2 given off by yeast providedwith different amounts of sugar. The student places a balloon over eachcontainer to catch the released CO2. How can the student make quantitativeobservations of the CO2 collected in the balloons?A. Describe the shape of each balloon.B. Approximate the relative size of each balloon.C. Measure the circumference of each balloon.D. Count the individual CO2 molecules in each balloon. A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that? Solve this problem in the math section work out 5 3/5 divided by 2 2/3 in the simplest form Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars How might a sudden increase in people's expectations of future real estate prices affect interest rates? A. Interest rates would decrease because real estate would have a relatively lower rate of return compared to bonds, which would cause the demand for bonds to increase. B. Interest rates would decrease because real estate would have a relatively higher rate of return compared to bonds, which would cause the demand for bonds to decrease. C. Interest rates would increase because real estate would have a relatively lower rate of return compared to bonds, which would cause the demand for bonds to increase. D. Interest rates would increase because real estate would have a relatively higher rate of return compared to bonds, which would cause the demand for bonds to decrease. Q. Mohammed calculated the volume of the prism as 240 cm3. Is he correct? *a- yes b- no Translate this phrase into an algebraic expression.8 more than twice Matt's savingsUse the variable m to represent Matt's savings. Data concerning three of the activity cost pools of Pembrooke LLC, a legal firm, have been provided below: Activity cost pools Total activity Total cost Research legal issues 680 research hours $29,920 Meet with clients 5,324 meeting hours $665,500 Preparing documents 6,490 documents $116,820 What is the activity rate for the "research legal issues" activity cost pool? The complement in the following sentence is what?Tyler, bring your books.A. TylerB. BooksC. Bring How does Shakespeare structure his play 3. Which of the following values is a rational number?AB149 + 7V225 + VIGOV2 x V121Vil x 10