Below is the proof that the sum of two odd numbers is always even.
How to prove that the sum of two odd numbers is even?
First, remember that an even number is written as:
x = 2*n
Where n is an integer number.
While an odd number will be written as:
y = 2*n + 1
Now, let's say that we have two odd numbers:
A = 2k + 1
B = 2n + 1
If we add these we get:
A + B = (2k + 1) + (2n + 1) = 2k + 2n + 2 = 2*(k + n + 1)
And k + n + 1 is an integer number, then we can write:
k + n + 1 = N
So we get:
A + B = 2N
Then the sum of A and B is an even number.
Thus, we proved that for the sum of any two odd numbers, the outcome will always be even.
If you want to learn more about odd numbers, you can read:
https://brainly.com/question/543861
Explain three things that you do in an airport or airplane when taking a trip. use complete sentences in spanish
When taking a trip it is important to know the airport regulations, these depend on each country and each airport, so it is advisable to do the following things:
Verifica el estatus del vuelo.Tener los documentos (pasaporte, boletos) en una bolsa de facil acceso.Infórmase sobre las restricciones (líquidos, comida).Translation:
Check the status of the flight.Have the documents (passport, tickets) in an easily accessible bag.Find out about restrictions (liquids, food).What to do in an airport?The first step when you arrive at the airport is to check in the luggage, verify the status of the flight, take an accessible bag to carry all the documentation that can certify you as a tourist under legal conditions.
Find out about the restrictions (liquids, food), knowing in advance what items we should not include in our hand luggage or what the rules of behavior at the airport.
Therefore, we can conclude that when taking a trip it is important to know the airport regulations, these depend on each country and each airport.
Learn more about things to do in an airport here: https://brainly.com/question/19796142
Algebra 1 houghton mifflin harcourt teacher edition pdf
An example of Algebra 1 Houghton Mifflin Harcourt is quantitative reasoning such as Rewrite the term 9a+4b+(-18).
What is a algebra in math?Algebra is known to be a part of mathematics that handles problems with symbols or variables and it is known to often uses arithmetic operations such as (+, –, ×, ÷) to look for an unknown quantities.
To rewrite the terms, known that the terms are part of the expression that are said to being added. Therefore, for one to be able to rewrite subtraction as addition in the expression,
9a+4b+(-18)
Then it will be
9a, 4b, - 18
Learn more about Algebra from
https://brainly.com/question/22399890
Which of these gases must not be exposed to oil or grease
Answer:
nitro is the answer i think
According to the law of supply and demand, an increase in supply and a decrease in demand results in -
Answer:
in the market a decrease in demand and an increase in the supply results to a serious fall in the equilibrium prices.
Explanation:
Therefore the effect on the equilibrium quantity caused by the decrease in demand and increase in the supply cannot be identified. moreover the producers forced to lower the prices of goods and services since the consumers can only bye small quantities of the goods. this leads to a fall in the prices of the commodities.
Max bought a new speed boat that cost of $33,000. the boat depreciates approximately 18% of its value each year. write an equation to model the value of the speed boat.
The equation that can be used to model the value of the speed boat is; y = 33,000 × (0.82)^t
How to write equation?cost of the boat = $33,000Rate of depreciation each year = 100% - 18%= 82%
= 0.82
The equation;
y = A × (b)^t
where,
y = new cost of boatA = initial costb = rate of depreciationt = timeSubstitute the known values into the equation
y = A × (b)^t
y = 33,000 × (0.82)^t
Learn more about equation:
https://brainly.com/question/9540350
Select the correct answers from the drop-down menus. read the excerpt. then choose the correct way to complete each sentence. wilson sees as the key to achieving peace. a quotation that supports this conclusion is .
The correct way to complete the sentence that supports Wilson's conclusion about achieving peace is;
''He laid out a vision for a just and peaceful world, a future that included free seas, an international agreement to avoid arms races''.What was President Wilson words about peace?President Wilson stated that peace can be accepted most times when there is humiliation, or when a country is under duress,
He believed in the idea of a just and peaceful world, a future where there is no free seas, and also there is in place, an international agreement to avoid arms issues.
Learn more about Quotes from
https://brainly.com/question/27083901
for isoelectronic ions, how are effective nuclear charge and ionic radius related?
State four reasons why knowing the entry requirements is important
Answer:
to avoid any mistakes
to make sure you are not breaking any rules
to make sure your information is rendered valid
to follow the procedures
Explanation:
.
Mustang corporation had 100,000 shares of $2 par value common stock outstanding. on december 31, 2021, the company's board of directors declares a 50 percent stock dividend. this stock dividend will be distributed on january 20, 2022 to the stockholders of record on january 15, 2022. the market price of the company's stock is $10 per share on december 31, 2021.
The journal entry to record Mustang Corporation's issuance of dividends on December 31, 2021 is:
Date Account title Debit Credit
12/31/2021 Retained earnings $100,000
Common stock Dividend $100,000
What is the journal entry for the dividend issuance?The dividend would be:
= Percentage dividend x Number of shares x Par value of shares
= 50% x 100,000 x 2
= $100,000
This amount will be debited to the Retained Earnings account which dividends are deducted from.
Find out more on recording dividends at https://brainly.com/question/23156395.
A person moves away from a stationary sound source
A hotel installs a new swimming pool and a new hot tub
Answer:
What's the question
Explanation:
?????
12.1 arithmetic sequences algebra 2 volume 2 answers
An example of 12.1 arithmetic sequences algebra 2 question is Find the sum of the arithmetic series given as 1,2,3…..99,100.
What is Arithmetic sequences?An arithmetic sequence is known to be a group or sequence of numbers that is said to be the difference that exist between any two successive members of the sequence and it is a constant.
To find the sequence, one was given a total of 100 values:
So n=100.
first value = 1
Last = 100.
[tex]S_{100}[/tex]=100/2 (1+100)= 5050
Therefore the answer is 5050
Learn more about arithmetic sequences from
https://brainly.com/question/6561461
Two skydivers of different masses jump from a plane
The relationship between the net force of both sky divers is that; the net force for both skydivers is the same.
What is the net force experienced?We are told that two skydivers of different masses are jumping out of an airplane. Now, at some point, both skydivers will slow down to the point at where they reach constant velocity.
Due to the fact that the velocity for both sky divers is constant, it means that no acceleration will occur and as such, the net force on each sky diver is zero.
Thus, we conclude that the net force for both skydivers is the same.
Read more about net force at; https://brainly.com/question/13370981
What does this passage most clearly reveal about lady bracknell? she believes in the importance of education. she believes in equality among all people. she believes that ignorance is a desirable trait.
Answer:she believes that ignorance is a desirable trait.
Explanation:
Answer: C
Explanation:
should peanut butter be refrigerated after opening
Which best describes x and y? x = spherical; y = e. coli x = comma shaped; y = whooping cough x = oval shaped; y = s. aureus x = rod shaped; y = pneumonia
The option that best describes x and y is that X = Spherical; Y = E Coli.
What is the table about?In the table, X is known to be a shape of bacteria that has developed as a coccus and its linked to a disease called strep throat. Using its form, one can imply that bacteria is spherical in nature such as streptococcus pneumonia.
The shape of the Y bacteria connote that it is an E-coli. The Y is said to be E-coli because it has its characteristics.
See full question below
Consider the table.
Types of Bacteria
Form
Shape
Associated disease
Coccus
X
Strep throat
Bacillus
Rod shaped
Y
Spirillum
Spiral
Cholera
Which best describes x and y? x = spherical; y = e. coli x = comma shaped; y = whooping cough x = oval shaped; y = s. aureus x = rod shaped; y = pneumonia
Learn more about E Coli from
https://brainly.com/question/6390757
Answer:
A... X=spherical, y=E.coli
Explanation:
Which change is an unlikely result of destruction of wetlands?
Answer:
healthy fish populations
Explanation:
i just took the test and get it right
Choose the best translation: employer trabajador administración inventario empleador
Answer:
D. empleador
Explanation:
The Spanish word “trabajadores” translated to English means workers. It is the word that does not fit in the group of answer choices.
What is “Trabajadores”?“Trabajadores” has been known as a noun while the rest of the words are adjectives that describe an object or a person. This was expressed in one of his deepest thoughts which expresses that: "the artist works on himself and his time, works to give clarity to his conscience and his contemporaries of himself and his time".
The key to finding the correct descriptor of Yolanda is to pay attention to gender. Yolanda is a feminine name, thus the adjective used to describe someone named Yolanda (presumably a female) in Spanish would take a feminine form.
Therefore, The Spanish word “trabajadores” translated to English means workers. It is the word that does not fit in the group of answer choices.
Learn more about trabajadores on:
https://brainly.com/question/4366226
#SPJ6
What did passage of the immigration act of 1965 accomplish?the law lowered the number of asians allowed to immigrate to the us.the law allowed no more immigration from european nations.the law supported victims of political persecution.the law made an effort to establish a quota system.
First dude is correct is the correct option regarding the immigration act.
What is Immigration act?The Immigration and Nationality Act of 1965 underwent a broad national overhaul. It boosted overall immigration so that for the fiscal years 1992–1994 and going beyond, 675,000 immigrants could enter the country annually.
It offered family-based immigration visas, established five unique employment-based visas that were divided up according to occupations, and instituted a diversity.
It is a visa program that established a lottery to admit immigrants from "low admittance" countries or nations whose citizens were underrepresented in the United States.
Therefore, First dude is correct is the correct option regarding the immigration act.
To learn more about Immigration, refer to the link:
https://brainly.com/question/29487746
#SPJ5
Answer: C. The law supported victims of political persecution.
Explanation:
Lesson 11.2 angle theorems for triangles answer key
There are a lot of Lessons in math. The example of 11.2 angle theorems for triangles is: Find the value of the angle (image attached)?.
What are triangles?A triangle is known to be a type of polygon that has three edges and three vertices.
To fine the value, not that an angle on a straight line is 180.
So therefore, you subtract the other angles from 180.
It will be 180-90-45= 45.
So therefore, the angle is 45 degree
Learn more about triangles from
https://brainly.com/question/17335144
All animals need to eat blank to get blank to live
Answer:
Food
Explanation:
I mean what else would it be?
Answer:
All animals need to eat food to get energy to live.
Explanation:
Every animal need to eat food to survive as well as get energy. Nutrition is the process by which living things get or make food. Thus, the best answer to fit in the blank are:
FoodEnergyHence, the blank :
All animals need to eat food to get energy to live.
~lenvy~
Dani was walking home with her parents and noticed an elderly person struggling to open a door. dani decided to open the door for the person, because she knew her parents would praise her behavior. dani's behavior is an example of:
Answer:
7. none of the above
Male and female high school students reported how many hours they worked each week in summer jobs
Answer:
The correct answer is that the males have a significantly high outlier.
Step-by-step explanation:
If you look at the box plots show the long tails t6hat signify the Q3 outlier.
you was in the backseat sweating like an athlete lyrics
In exercises 3–6, find an explicit description of nul a by listing vectors that span the null space.
The explicit description of null A by listing vectors that span the null space.
[tex]\left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]
What is the Matrix Vector?
We are given the matrix vector;
[1 3 5 0]
[0 1 4 -2]
Now, let's find the general Ax = 0 solution for the free variables. Thus;
[A, 0] =
[1 3 5 0]
[0 1 4 -2]
Thus;
R₁ → R₁ - 3R₂
⇒ [1 0 -7 6 0]
[0 1 4 -2 0]
The general solution is:
x₁ = 7x₃ - 6x₄
x₂ = -4x₃ + 2x₄
x₃ and x₄ are free variables
x = [tex]\left[\begin{array}{ccc}x_{1} &&&x_{2} \\x_{3} \\x_{4} \end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] + x_{4} \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]
Thus, Null A is;
[tex]\left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]
Read more about Matrix Vector at; https://brainly.com/question/19202525
Identify the values for the function y=cos 4(x-pi)
The values for the function y= cos 4(x-pi) are;
Amplitude = 1Period = π/2Horizontal (phase) shift = πunits Vertical shift = 0 unitsCosine functions and PropertiesIt follows from comparison with the traditional cosine function;
Amplitude is usually the coefficient of the cos function and hence is, 1 in this case.The period, T from the function given is; T =π/2The horizontal phase shift is obtained by comparison as; pi.Ultimately, the vertical shift is 0 units as there's no y-intercept.Read more on cosine functions;
https://brainly.com/question/17075439
when assisting users, a technician often uses the mac os force quit functions and the linux kill command. which of the following situations would require their use?
Answer:
A runaway application does not respond to user input .
Explanation:
Why does the coach interrupt jeremy at the end of the scene
The coach interrupt Jeremy at the end of the scene because he wants Jeremy as his assistant and prevents him from refusing the job.
What is the Assistant known for?A personal assistant, is known to be a person often called personal aide or personal secretary (PS).
Conclusively, It is a person who helps the head or a coach as in this scenario in some of their daily business activities. Note that The coach interrupt Jeremy at the end of the scene because he wants Jeremy as his assistant and prevents him from refusing the job.
Learn more about scene from
https://brainly.com/question/13947795
#SPJ1
Answer:
He wants jeremy as an assientant and prevents him from refuse
Explanation:
i got it right
Identify the oxidation numbers for all the elements in the reactants and products for 2mno4−(aq)+3s2−(aq)+4h2o(l)→3s(s)+2mno2(s)+8oh−(aq)
The oxidation number if eah of the elements is as follows;
Oxidation number of Mn is + 7 on the right hand side and +4 on the right hand sideOxidation number if hydrogen is +1 on both sidesThe oxidation number of oxygen is -2 on both sidesThe oxidation number of sulfur is -2 on the lefthand side and zero on the right hand side.What is a redox reaction?A redox reaction is one in which there is a change in the oxidation number of the reactants from left to right.
Let us now consider the oxidation number of each element from left to right;
Oxidation number of Mn is + 7 on the right hand side and +4 on the right hand sideOxidation number if hydrogen is +1 on both sidesThe oxidation number of oxygen is -2 on both sidesThe oxidation number of sulfur is -2 on the lefthand side and zero on the right hand side.Learn more about oxidation number: https://brainly.com/question/15167411?
Find the measure of arc db. circle a is intersected by line cd at points d and e and line cb at point b, forming angle ecb outside of the circle, the measure of angle ecb is 5x degrees, arc eb is 96 degrees, and arc db 25x plus 21 degrees. 25° 96° 118° 146°
Answer:
146°
Steps:
FLVS
Answer:
The answer to this question is in fact 146 or answer "D."
Explanation:
Big brain energy
