State whether 2.5 + π is rational or irrational. Explain.

Answers

Answer 1

Answer: 2.5 + π is an irrational number.

Step-by-step explanation:

Irrational numbers are numbers that can not be written as the quotient of two integer numbers, and they have an infinite number of digits after the decimal point (such that there is not periodicity in these digits).

So suppose that we have an irrational number and we add 1, then the infinite digits after the decimal point will still be there, so the sum will be also an irrational number.

The same can be seen for the sum between an irrational number and a rational number, where the infinite number of decimals after the decimal point will still be there (because the rational numbers have a finite or infinite but periodical decimals after the decimal point), so the sum between an irrational number and a rational number is always irrational.

In this case, we have the addition:

2.5 + π

Which is the sum of a rational number and an irrational number, so we can conclude that this is an irrational number.


Related Questions

A teacher randomly selects students to write the date on the board each day. If there are 12 boys and 9 girls in the teacher’s class, what is the probability the teacher chooses a girl to write the date on the board?



1 over 12
1 ninth
3 sevenths
3 forth

Answers

Answer:

c wich is sevenths

Step-by-step explanation:

The probability the teacher that chooses a girl to write the date on the board is :

C) 3 sevenths.

"Probability"

Given:

Boys =12

Girls =9

Total number of students = 12 + 9 = 25.

So the probability of choosing a girl is = n(girl) / n(all students) = [tex]\frac{9}{25}[/tex]

This is close to 3 sevenths.

Learn more about probability:

https://brainly.com/question/25870256

Write the equation of the line in fully simplified slope-intercept form?​

Answers

Answer:

ok

Step-by-step explanation:

Answer:

y=-1/2x-1

Step-by-step explanation:

When a standard die is rolled, find the probability of getting a. 5 b. A number larger than 2 c. An odd number.

Answers

Answer:

P(getting a 5)=[tex]\frac{1}{6}[/tex]

P(number larger than 2)=[tex]\frac{2}{3}[/tex]

P(numbers which are odd) =[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

When a standard die is rolled, we get sample space as {1,2,3,4,5,6}

So, let's use formula

P(E)=[tex]\frac{outcomes favorable to event E}{Total number of outcomes}[/tex]

For part A:

Event is getting a 5.

So, out of 6 samples , we get one 5 as outcome

So,

P(getting a 5)=[tex]\frac{1}{6}[/tex]

For part B:

The numbers larger than 2 are {3,4,5,6}

So, p(number larger than 2)=[tex]\frac{4}{6} =\frac{2}{3}[/tex]

P(number larger than 2)=[tex]\frac{2}{3}[/tex]

For part C:

The numbers which are odd are {1,3,5}

So, p(numbers which are odd)=[tex]\frac{3}{6 } =\frac{1}{2}[/tex]

P(numbers which are odd) =[tex]\frac{1}{2}[/tex]

CAN SOMEONE PLZ HELP ME WITH THIS 1 QUESTION!?!

Answers

no because you wouldn't switch the fraction upside down to make it opposite.

Answer:

What Doug probably means to say is that the reciprocal of -2/5 is 5/-2. So, by this definition, Doug would be correct. However, you would not usually call it the "opposite" of a number, rather, the reciprocal.

The numbers are reciprocals of the other as their product is equal to one "-2/5 * 5/-2 = 1"

given the following in a right triangle the hypotenuse is 200 cm and one of the legs is 45cm what is the lenght of the other leg

A: 194.9 cm
B: 12.4 cm
C: 155 cm
D: 245 cm

Answers

Step-by-step explanation:

Hence the length of other side is 194.87 I.e.194.9 cm

what fraction repsents 0.64​

Answers

Answer:

64/100 = 16/25

Answer:

0.64 in fraction

= 64/100 = 16/25

because each decimal equal to one zero

hope it helps

Pls i gat no idea :/

Answers

Answer:

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where r is the radius of the circle and (h,k) is the coordinates of the center of the circle. We can see that the radius is 3 units and we are given the location of the center as (-3,1) so

(x+3)^2+(y-1)^2=9

I NEED YOUR HELP PLEASEE !!

Answers

Answer:

I think it is the right triangle

I think it might be the right triangle

6. Petra visited the Empire State Building, which is approximately 1454 ft tall. The
scale of the model she bought is 1 in = 200 ft. What is the height of the model in
inches?

Answers

Answer:

Below.

Step-by-step explanation:

1454 / 200

= 7.27 inches.

Will give Brainly list

Answers

Answer:

7 and 8 im pretty sure...

Step-by-step explanation:

sorry if its wrong..

B. Angles 1 and 2

Complementary angles are two angles that add up to 90 degrees, and Adjacent angles are two angles that are next to each other.

Out of the angles given angles 1 and 2 are the most likely answer, given their shape. (See picture below)

Have a beautiful day.

Hey.... can anybody help me with a question? "If you can change one thing in your community with design, what would it be and how will it work towards racial justice?"

Hello! I need some help figuring out what I did wrong here. I understand for the most part but I messed up somewhere. Work would be nice so I can visually see the right process!! ​

Answers

I think what’s happened is that you might have solved wrong x=... is not 8 cause 6x9 = 54 rounded 50 or 6+9= is only 15 rounded 16

Answer:

x= 11 (nearest whole number)

Step-by-step explanation:

Please see the attached picture for the full solution.

a pair of boots were $45 they were on sale for $38.25 what percent were they off

Answers

Answer:

15% off

Step-by-step explanation:

Answer:

17.2% off

Step-by-step explanation:

45/100 = 0.45

0.45 x 38.25 = 17.2%

what is -4/5x-2=18 what is x help quick

Answers

Answer:

If I'm right x= -25

Step-by-step explanation:

Answer:

x=-25

Step-by-step explanation:

(✿◡‿◡) <-- she wants Brainliest

SOMEONE HELP PLS i mark the brainliest

Answers

Answer:

Step-by-step explanation:

UWV is a 30°-60°-90° triangle.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2

The length of the side opposite the 90° angle is 10,

so the length of the side opposite the 30° angle is 5

and the length of the side opposite the 60° angle is 5√3

Which of the following does not have any dimension?
Question 7 options:

A)

Line

B)

Ray

C)

Line segment

D)

Point

Answers

Answer:

D

A point has a dimension of 0.

Hope this helped!

It’s point a line and a line segment and ray have a dimension of 1 :)

At a high school there was a survey to find out how many people used different forms of transportation. The study found that 1/4 of the students were taken by car to school, 42% took the bus and the rest walked or took public transportation. There was a total of 600 students. How many students were taken by car?


150
170
200
225

which one ^

Answers

1/4 or 25% were taken by car of the 600
600 x .25 = 150
150 is the answer

Describe the transformation of f(x) = sin x to g(x) = sin x - 17 ?

Answers

Answer:

f(x) underwent a downward vertical translation to get g(x)

Step-by-step explanation:

here, we want to describe a transformation

Looking at the two equations, we can notice that the difference between the two is the -17

Practically, we have this difference as 17 subtracted from the second equation

what this mean is that there is a downward vertical translation of the first graph by 17 units to get the second graph

Y=4x^2+14x+6 factor the polynomial

Answers

Answer:

4 x 2 + 14 x − 6 p  -4x2+14x-6p

Please Help Cuz For A Hunid points

Answers

She got a potato I'm peelin it

Answer:

1. Vertical angles. X = 128º

2. The two angles labeled make up a linear pair & are supplementary, meaning they add up to 180º.

So:

7x + (x+20) = 180

Solve for x:

7x + (x + [20-20]) = 180 - 20

7x + (1)x = 160

8x = 160

X = 20

3. The two angles are complementary, meaning they add up to 90º.

So:

X + 35 = 90

Solve for x:

X + (35-35) = 90 - 35

X = 55

4. the two angles are complementary, and add up to 90º.

So:

4x + 2x = 90

Solve for x:

6x = 90

6x/6 = 90/6

X = 15.

5. Vertical angles, so they are equal in measure.

So:

75 = 4x - 25

Solve for x:

75 + 25 = 4x (-25 + 25)

100 = 4x

100/4 = 4x/4

X = 25.

6. The 3 angles all add up to 180º. they are supplementary.

So:

75 + x + (3x + 5) = 180

Solve for x:

(75 - 75) + x + (3x + 5) = 180 - 75

X + (3x + 5) = 105

X + 3x + (5-5) = 105 - 5

(1) x + 3x = 100

4x = 100

4x/4 = 100

X = 25

7. The 2 angles shown in the picture add up to 180º & are supplementary.

So:

x + (2x - 21) = 180

Solve for x:

X + (2x [-21 + 21]) = 180 - 21

(1)x + 2x = 159

3x = 159

3x/3 = 159/3

X = 53.

Sorry for the late response.

hope this helps & have a great rest of your day!

Find the degree of the monomial. -4/9​

Answers

Answer:

(=3+2) .

Step-by-step explanation:

The degree of a monomial is the sum of the exponents of all its variables. Example 1: The degree of the monomial 7y3z2 is 5(=3+2) .

I agree with him/ her

what is the answer to 2x - 20°

Answers

The answer is 10 i think

Answer:

so 10

Step-by-step explanation:

2−20

Grouping

1

Common factor

2−20

2(−10)

Solution

2(−10)

WHAT DO I HAVE TO DO TO GET HELP WITH MY MATH?!?!?! 0LEASE SOMEONE PLEASE HELP ME WITH MY MATH ILL DO ANYTHING​

Answers

Answer:

GIVE ME UR QUESTIONS PLS!!!!

I need help
Please i dont get this

Answers

opposite angle, so try 6
i’m not too sure sorry
hope that helps xxo

Find measure of angle PQS

Answers

Answer:

ANGLE PQS = 45°

Step-by-step explanation:

angle SRT = 180 - 70 = 110

thus angle QSR = 180 - 20 - 110 = 50

BY Angle sum property

angle PQS = 180 - 85 - 50 = 180 - 135 = 45

Answer:

<PTR+<RTS=180 LINEAR PAIR

<PTR=180-20=160°

Step-by-step explanation:

IN QUADRILATERAL PQRT

<P+<Q+<R+<T=360 SUM OF INTERIOR ANGLE OF QUADRILATERAL IS 360

85+<Q+70+160=360

<Q=360-315=45°

angle PQS=45°

4 - 3 2/10g = 9 1/2
solve for the variable.

Answers

Answer:

you add then add again

Step-by-step explanation:

culture

PLEASE HELP QUICKLY!!


Lins second pan has a volume of 15 cubic inches, a length of 8/3 inches, a width of 15/4 inches. What is the height of the second pan? Explain your reasoning

Answers

Step-by-step explanation:

I might be think it is 7/1 hope this helps

Select the graph of the quadratic function g(x) = 1/4x^2. Identify the domain and range

Answers

Graph b
The domain is (-inf,inf)
The range is [0, inf)
Hope this helps!

Hayley took a total of 9 quizzes over the course of 3 weeks.After attending 7 weeks of school quater,how many quizzes will hayley have taken in total

Answers

Answer:

21 quizzes

Step-by-step explanation:

3 quizzes per week 9÷3=3

7 weeks = 3×7 so 21 quizzes

Answer:

21 quizzes

Step-by-step explanation:

What we know:

- Hayley takes 9 quizzes in 3 weeks

What we want to find:

- The number of quizzes Hayley would've taken after 7 weeks

We need to first find the number of quizzes Hayley would take in 1 week and then multiply that number by 7. To find the number of quizzes per week, divide 9 by 3:

9÷3=3

Therefore, every week, Hayley takes 3 quizzes.

Now, we multiply 3 by 7:

3×7=21

Therefore, after attending 7 weeks of school, Hayley would've taken 21 quizzes in total.

I hope this helps!

Find the equation of a line that passes through the point (0,4) and has a gradient of 2.
Leave your answer in the form y = mx + c

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = 2 + c

Therefore:

c = 2

So, y = 2x + 2

Brainlist pls!

The equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4

Equation of a line

The equation of a line in point-slope form is expressed as:

y = y1 = m(x-x1)

Given the following

Slope m = 2

(x1, y1) = (0, 4)

Substitute

y - 4 = 2(x- 0)

y -4 = 2x

y = 2x + 4

Hence the equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4

Learn more on equation of a line here: https://brainly.com/question/18831322

hello pls help besties (o˘◡˘o)

Answers

Hello bestie I cannot help you
21 or 69

Louis Partridge
Draco Malfoy
Blaise Zabini
Etc....
Other Questions
what is "what"? plz tell me An amusement park ride called the Rotor debuted in 1955 in Germany. Passengers stand in the cylindrical drum of the Rotor as it rotates around its axis. Once the Rotor reaches its operating speed, the floor drops but the riders remain pinned against the wall of the cylinder. Suppose the cylinder makes 26.0 rev/min and has a radius of 3.70 m. 1) What is the coefficient of static friction between the wall of the cylinder and the backs of the riders DuNO 17) Himmy Carter's speech has a verytone,Seriousdishearteningsorrowful will give brainliest please help :) HELP PLEASE HURRY I'LL MARK BRAINLIEST. Answer the question: What if social media was never created? Think about how this would affect you and the world around you. Would this be a positive or negative switch? can someone please help me write an informative essay from the four freedoms address writing promt Electrical _____ regulate the contractions of the heart. currents pacemakers stimuli impulses Match each shape (if possibles, and one at a time) using a translation of the original shape using a coordinate rule. All of the following increased government power during WWI except the If you were to roll the dice one time what is theprobability it will NOT land on a 3? Differentiate between the characteristics of igneous rocks and sedimentary rocks Helppp me on this question please this is pretty easy but I don't have the brainpower to do it Q1: Which choice correctly punctuates and capitalizes the words in thefollowing sentence? st patricks day comes once a yearSt. Patricks day comes once a year.St. Patrick's Day comes once a year.St Patricks Day comes once a year.st Patrick's day comes once a year! please help!! I suck at this :( Write the equation in slope intercept form What is the solution of x + 9 < 5? Please help me answer this question ASAP John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth. Diameter of 24 76 in 75.4 in 38 37.7