40 POINTS!!!
All integers are either odd or even. Conceptually, an integer is odd if it has a remainder of 1 when dividing by 2. And an integer is even if it has a remainder of 0 when dividing by 2.

But when proving something rigorously, mathematicians use more precise definitions, like these: an integer is odd if it can be written in the form 2k + 1, where k is some integer. An integer is even if it can be written in the form 2k, where k is some integer. For example, 13 is odd because 13 can be written as 2(6) + 1.

With these definitions, use complete sentences to explain why zero is an even number.

Answers

Answer 1

Answer:

[tex] = > 2k + 1 \\ when \: k = 0 \\ 2(0) + 1 \\ = 1 \\ \therefore \: zero \: is \: odd \\ \\ = > 2k \\ when \: k = 0 \\ 2(0) \\ = 0 \\ \therefore \: zero \: is \: not \: even \: because \: when \: divided \: by \: 2 \: \: remainder \: is \: zero[/tex]

Answer 2
Wow what grade are you in? Cause this is so much, sorry

Related Questions

Patty made a banner that has an area of 175 square inches. The length and width of the banner are whole numbers. The length is 7 times greater than the width. What are the dimensions of the​ banner? The banner has a length of nothing ▼ in.In. sq in.Sq in. and a width of nothing ▼ sq in.Sq in. in.

Answers

Answer:

Length = 35

w = 5

Step-by-step explanation:

l x w = area

7y x y = 175

7y^2 = 175

y^2 = 175/7

y^2=25

y=5

The length is 7y, so it's 5 times 7 or 35.

The width is just y, so it's 5.

Classify the following triangle. Check all that apply.
DA. Isosceles
D B. Obtuse
C. Scalene
E D. Acute
E E. Equilateral
D F. Right

Answers

Answer:

A . Isosceles

Step-by-step explanation:

An isosceles triangle has both two equal sides and two equal .

help me please ASAP

Answers

Answer:

A.

Step-by-step explanation:

Vertical shifts are represented by - or +, and they are not within the parenthesis. Since the function is being shifted down by 2 units, the correct answer is A.

Help ASAP ! Find PN triangle proportionality

Answers

This has to do with ratio's.

MQ : QN = 2 : 5
MQ : QN = LP : PN
2 : 5 = 3 : PN

That means PN = 15/2

i would really appreciate the help please

Answers

Answer:

1 and 2 only

Step-by-step explanation:

mark me as brainliest

Pleaseeeee help me!!!

Answers

Answer:

a = -1  b=0  and c=1

Step-by-step explanation:

-x^2 +0x+1

This is in the form

ax^2 +bx+c

a = -1  b=0  and c=1

Can someone please help me ASAP!!

Answers

I DONT SPEAK ENGLISH, I'M BRAZILLIAN

Answer:

brainllest if right

b

Step-by-step explanation:

Find the lcm of ÷ 16a^4+4a^2+169,8a^3+2a(2a+13)+16a^2

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

The LCM of 2a(4a² + 10a + 13)(4a² + 13 - 10a).

What is Least Common Multiple?

Least Common Multiple, often known as the Lowest Common Multiple, is denoted by the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more numbers.

The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.

We have,

16[tex]a^4[/tex] + 4a² + 169 and 8a³ +2a(2a + 13) + 16a²

First, 16[tex]a^4[/tex] + 4a² + 169

= (4a²)² + (2a)² + (13)²

= (4a²)² + 2 . 4a² . 13 + (13)² + 4a² + 104a²

= (4a² + 13)² - (10a)²

= (4a + 13 - 10a) (4a + 13 + 10a)

= (13 - 6a)(13 + 14a)

Second, 8a³ +2a(2a + 13) + 16a²

= 8a³ + 4a² + 26a + 16a²

= 8a³ + 20a² + 26a

= 2a(4a² + 10a + 13)

So, the LCM is

= 2a(4a² + 10a + 13)(4a² + 13 - 10a)

Learn more about LCM here:

https://brainly.com/question/20739723

#SPJ2

Find the 7th term in the
sequence.
-1, 2, -4, 8,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term – 1)
Remember to use the correct Order of Operations!
Enter

Answers

Answer: -64 Maybe

Step-by-step explanation:

It look like each term goes up by double of the last term.

I will give u brainliest and 5 star and thanks if its correct

Answers

Answer:

5. a) 5b

   b) 3b + 2b

Step-by-step explanation:

a) b + b + b + b + b is the same as

5 * b or 5b

b) 5b = 3b + 2b

or 3 * b + 2* b = 5b

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The distance from the moon to the earth is about 239,000 miles. How many pennies would
need to be in a stack in order to reach the moon?

Answers

Answer: 5 billion pennies

Step-by-step explanation:

Find the measure of AB⎯⎯⎯⎯⎯⎯⎯.

A. 4
B. 7
C. 10
D. 5

Answers

Answer: 7

Step-by-step explanation:

find x

6x(6+4)=5x(1+x)

Then x=11

AB= 11-4=7

Answer:

B.) 7

Step-by-step explanation:

I got it correct on founders edtell

Operations on Wh b) 6 X (5 + 4) ​

Answers

Answer:

6X(5 + 4)

6x(9)

54x

Answer:

the answer is 54x hope it will help full to you

URGENT PLEASE HELP ME !!!!

Answers

Answer:

CO

Step-by-step explanation:

Conditional: If p, then q.

Converse: If q, then p.

Conditional: If the measure of an angle is 90 degrees, then it is a right angle.

If p, then q.

p = the measure of an angle is 90 degrees

q = it is a right angle

Converse:

If q, then p.

If it is a right angle, then the measure of the angle is 90 degrees.

Answer: CO

hi pls help me out asap 1

Answers

Answer:

B: 112.5

Step-by-step explanation:

first, we split up the rhombus into two triangles, with the height of 15 and the length of 7.5. when you multiply these you will get 112.5, and normally if you are just getting the area of the triangle, then you would divide it by two, but seeing that we have 2 triangles here, we would multiply it by two afterwards so an easier way to do it is just to not divide.

PLEASE ASAP PLEASE I need this plewse

Answers

The answer is 182.3537

Answer:

182.353745

Step-by-step explanation:

[tex]\frac{0.482 x61.2^2}{\sqrt{98.01} }[/tex]

Exponent First!

61.2^2 = 61.2 × 61.2 = 3745.44

Next, start multiplying it by 0.482

3745.44 × 0.482 = 1,805.30208

Then Solve for the Square root of 98.01

[tex]\sqrt{98.01}=9.9[/tex]    

Finally, divide 1,805.30208 by 9.9    

1,805.30208 ÷ 9.9 = 182.353745

The volume of this cone is 83.7 cubic meters. Find the DIAMETER. SHOW ALL WORK

Answers

There for the diameter is 2(4.8 )= 9.6 ft

Given: Volume of the cone is 83.7 m³

We know that:

[tex]\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}[/tex]

where r is the radius of the cone and h is the height of the cone

Given: Height of the cone = 5m

Substituting the values in the formula, we get:

[tex]\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}[/tex]

[tex]\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}[/tex]

[tex]\sf{\implies \pi r^2 = 83.7 \times 0.6}[/tex]

[tex]\sf{\implies \pi r^2 = 50.22}[/tex]

[tex]\sf{\implies r^2 = \dfrac{50.22}{\pi}}[/tex]

[tex]\sf{\implies r^2 = 16}[/tex]

[tex]\sf{\implies r = 4}[/tex]

We know that : Diameter is two times the radius

⇒  Diameter of the Cone is 8 meters

The ________ is the distance around a circle.
A. Radius
B. Diameter
C. Circumference
D. area

Answers

Answer:

the distance is called the circumference

Ranking brainliest if correct :)))

Answers

Answer:

Hello! answer: always

Step-by-step explanation:

And Isosceles triangle is a triangle with two sides that have the same length therefore the answer is always because as shown there are two sides with the same length hope that helps!

Answer is: always

since a  isosceles is a triangle with two equal sides and since two of the number is same(you know what i mean)

Jasmine drew triangles on a globe and on a flat map of the world, as shown below.Which is a true statement comparing Jasmine’s two drawings?

A. The angle sum of the triangle on the globe is equal to the angle sum of the triangle on the map.
B. The angle sum of the triangle on the globe is greater than the angle sum of the triangle on the map.
C. The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe.
D. There is only one line connecting New York to Paris on the map but more than one line connecting New York to Paris on the globe

Answers

Answer:

B

Step-by-step explanation:

OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good

The true statements on comparing Jasmine’s two drawings are B and C.

What is Angle Sum Property of a Triangle ?

The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.

It is given in the question

Jasmine drew triangles on a globe and on a flat map of the world

On comparing both the triangle the conclusions are

The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.

Among the option given this is also true that

The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe

Therefore option B and C are both true statement comparing Jasmine’s two drawings .

To know more about Angle Sum Property

https://brainly.com/question/8492819

#SPJ2

Why is (0,0) a Y intercept and isn't an X intercept? ​

Answers

Good question. It is supposed to be both the y-intercept and the x-intercept and is the only point on a graph that can be both. Something in wrong in that thing.

Sue travels 876 miles roundtrip to visit her parents. What is the total distance in miles she would fly for 12 visits to her parents? All I need is the total distance in MILES, Please help! First answer that helps me alot will get a brainliest!

Answers

Answer:

2 miles

Step-by-step explanation:

Answer:

10,512 miles

Step-by-step explanation:

876 x 12 = d (d is distance)

Solving the multiplication above, 876 x 12 would equal 10,512 miles

1. Which is NOT a solution to the inequality below?
3x + 13 ≥ -8
-8
-7
-6
-5

Answers

Answer:

-8 is not a solution to the inequality

Step-by-step explanation:

[tex]3x + 13 \geqslant - 8 \\ 3x \geqslant - 21 \\ x \geqslant - 7 \\ [/tex]

Step-by-step explanation:

everything can be found in the picture

B.) What fraction of the cost is spent on food and entertainment? Food- 17%. Entertainment- 24 they have 3000 for vacation

Answers

Answer:

Amount spent on food  = 510

Amount spent on entertainment = 720

Step-by-step explanation:

They have 3000 for vacation.

Amount spent on food = 17% of 3000

or 17/100*3000

17*30= 510

Amount spent on entertainment = 24% of 3000

or 24/100*3000

24*30= 720

(math)not too hard - pls help

Answers

Answer:

x   -   h(x)

0   -   1

1    -   3

2   -   5

3   -   7

Step-by-step explanation:

Just substitute the x value into the function

the graph of y=3x+=4 is

Answers

Answer:

Step-by-step explanation:

The answer is B.

It's a line that shows every point that satisfies the equation

y = 3x + 4  which is what I think you meant (but I'm not sure). If I am correct then there are a million possible points that could be the answer to this question.

If I am not correct, leave a comment that tells me so, and I'll revise my answer.

Never mind the question has the right equation. And my answer remains as given.

which of the following constructions must you know how to do in order to construct an inscribed circle for a given triangle

Answers

Answer:

Bisector

Step-by-step explanation:

7(x + y) ex2 − y2 dA, R where R is the rectangle enclosed by the lines x − y = 0, x − y = 7, x + y = 0, and x + y = 6

Answers

Answer:

[tex]\int\limits {\int\limits_R {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}[/tex]

Step-by-step explanation:

Given

[tex]x - y = 0[/tex]

[tex]x - y = 7[/tex]

[tex]x + y = 0[/tex]

[tex]x + y = 6[/tex]

Required

Evaluate [tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA[/tex]

Let:

[tex]u=x+y[/tex]

[tex]v =x - y[/tex]

Add both equations

[tex]2x = u + v[/tex]

[tex]x = \frac{u+v}{2}[/tex]

Subtract both equations

[tex]2y = u-v[/tex]

[tex]y = \frac{u-v}{2}[/tex]

So:

[tex]x = \frac{u+v}{2}[/tex]

[tex]y = \frac{u-v}{2}[/tex]

R is defined by the following boundaries:

[tex]0 \le u \le 6[/tex]  ,  [tex]0 \le v \le 7[/tex]

[tex]u=x+y[/tex]

[tex]\frac{du}{dx} = 1[/tex]

[tex]\frac{du}{dy} = 1[/tex]

[tex]v =x - y[/tex]

[tex]\frac{dv}{dx} = 1[/tex]

[tex]\frac{dv}{dy} = -1[/tex]

So, we can not set up Jacobian

[tex]j(x,y) =\left[\begin{array}{cc}{\frac{du}{dx}}&{\frac{du}{dy}}\\{\frac{dv}{dx}}&{\frac{dv}{dy}}\end{array}\right][/tex]

This gives:

[tex]j(x,y) =\left[\begin{array}{cc}{1&1\\1&-1\end{array}\right][/tex]

Calculate the determinant

[tex]det\ j = 1 * -1 - 1 * -1[/tex]

[tex]det\ j = -1-1[/tex]

[tex]det\ j = -2[/tex]

Now the integral can be evaluated:

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA[/tex] becomes:

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{x^2 - y^2}} \, *\frac{1}{|det\ j|} * dv\ du[/tex]

[tex]x^2 - y^2 = (x + y)(x-y)[/tex]

[tex]x^2 - y^2 = uv[/tex]

So:

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{|det\ j|}\, dv\ du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *|\frac{1}{-2}|\, dv\ du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{2}\, dv\ du[/tex]

Remove constants

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 {\int\limits^7_0 {ue^{uv}} \, dv\ du[/tex]

Integrate v

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 \frac{1}{u} * {ue^{uv}} |\limits^7_0 du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 e^{uv} |\limits^7_0 du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{u*7} - e^{u*0}]du[/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{7u} - 1]du[/tex]

Integrate u

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7u} - u]|\limits^6_0[/tex]

Expand

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -(\frac{1}{7}e^{7*0} - 0)][/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -\frac{1}{7}][/tex]

Open bracket

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} - 6 -\frac{1}{7}][/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} -\frac{43}{7}][/tex]

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{42} -\frac{43}{7}][/tex]

Expand

[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}[/tex]

Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

Answer:

Step-by-step explanation:

The two triangle are congruent for the rule SAS

QP congruent to TU

angle P and angle T are both right

side PR is in common

PLEASE HELP!!
A wooden block in the shape of a rectangular pyramid is shown below:

A shaded right rectangular pyramid is shown.

If a cross section of the block is cut in a plane parallel to the base of the pyramid, which of the following shapes describes the cross section? (5 points)

a
Triangle

b
Rectangle

c
Trapezoid

d
Hexagon

Answers

Step-by-step explanation:

A shaded right rectangular pyramid is shown. where is the shade rectangular pyramid....how do I know the answer when you did post the full

question

Other Questions
3x+3y=18 x+2y=9 find x and y A 7.5-kg rock and a 8.9 10-4-kg pebble are held near the surface of the earth. (a) Determine the magnitude of the gravitational force exerted on each by the earth. (b) Calculate the magnitude of the acceleration of each object when released. If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club? QuestionAn employee makes $24 per hour during the normal week. This weekend that employee will make $36 per hour since it is a holiday. What is the percent increase in pay? Lighting is the movement of? The "Truth in Savings Law" requires banks to advertise their rates on investments such as CDs and savings accounts as annual percentage yields (APY).a) trueb) false what additional piece of information do we need to prove that MLN OPN I NEED HELP PLEASE AND PLEASE DONT PUT ANSWERS THAT HAVE NOTHING TO DO WITH WHAT IM ASKING PLEASE PUT THE CORRECT ANSWER I WILL GIVE BRAINLIEST TO WHOEVER IS THE BEST ANSWERAct 1 Scene 1 Writing AssignmentAfter reading Act 1 Scene 1 in Romeo and Juliet and reading the summary chart below, explain how the following pairs see one another/think of one another. Use character names and lines and citations from the Middle English version of the play for clarityMontagues vs. CapuletsThe Prince vs. the fighting between the two familiesBenvolio vs. RomeoSummary of Act I scene i:Setting, a street in Verona, ItalyIn Act I scene i of Romeo and Juliet, Shakespeare sets up the rivalry between the families of Romeo and Juliet. Romeos family is the House of Montague and Juliets family is the House of Capulet.Two servants from each House meet on the street in Verona, Italy. They argue and trade insults about each others Houses. A fight ensues. Benvolio, Romeos cousin, draws his sword to stop the fight. Tybalt, Juliets cousin, sees Benvolios sword drawn and draws his sword.The fight grows as other people join in. Finally, the Prince breaks up the brawl. He is tired of the feud between the Montagues and Capulets.The scene ends with the Montagues, Romeos parents asking Benvolio if they have seen Romeo lately. Benvolio sees Romeo in the distance and tells his parents he will find out what is wrong with him. Will give out Brainliest! Can somebody please explain how to find the linear regression equation given a data table step-by-step? What is the domain of the relation given by the set of ordered pairs shown? { ( - 3, 2 ), ( - 1, 0 ), ( - 3, 5 ), ( 2, - 3 ) }List the domain as a set, in increasing order. Assume that you have a three-year-old daughter and you have come to appreciate the power of saving and investing. Can you open up and put money into a Roth IRA in your child's name so that she can benefit from many years of compounding Please HELP! Given this graph of function f(x), find f (-2) Which passage most clearly contains imagery?O A. "Don't say another word!" Gina shouted.B. The odor of rotten eggs wafted from within.C. He suspected. He knew. He saw. He smiled.D. First, call our hotline. Next, work out a plan.SUBM Show Intro/InstructionsA wire 15 centimeters long is cut into two pieces. The longer piece is 3 centimeters longer thanthe shorter piece. Find the length of the shorter piece of wire. 1.Which STi is known as the "silent disease"? Explain Why. 40. A playground is constructed with the. dimensions and shape shown below. What is the area of the playground? work out 6/5 of 200 and show working out rons bagel shops has sold 6 sesame bagels and 24 other bagels. considering this, how many of the next 90 bagels sold should you expect to be sesame bagels? 4. Type of data that is given as individual data points.a groupedc. researchb. questionnaired. un grouped PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP