Which numbers are irrational

Which Numbers Are Irrational

Answers

Answer 1

Answer:

A & B

Step-by-step explanation:

A rational number is a number that can be written as a fraction or a terminating or repeating decimal. An irrational number is one that cannot be written as a fraction, or one that goes on forever without terminating or repeating in any way. Let's check all of our options and find the ones that are irrational.

Our first option (A) looks irrational! The "..." shows us that it goes on forever, and it doesn't look like it repeats. So this option is irrational.

Our next option is B, the square root of 24. What is the square root of 24? Well, if we look it up on a calculator, we get 4.89897948557..., and it looks like this one doesn't terminate or repeat either. So option B is also irrational.

Option C is the square root of 121. The square root of 121 is 11, which can be written as a fraction (11/1) and is a terminating decimal. So it's rational.

Our last option is D, and it is written already as a fraction, so we know for sure that it's rational. If we divide it out, we get 0.44444... with the 4 going on forever. It's a repeating decimal, and repeating decimals are rational.

So our final answers for which are irrational are A & B.


Related Questions

HELP!!
FAST!!
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3
seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for
the number of seconds Lola needs to sign all 96 invitations?
O 508 seconds
O 510 seconds
509 seconds
O 508.8 seconds

Answers

Answer:

5.3 seconds is needed for one signature.

Hence, for 96 signatures, it would take

[tex]96*5.3=508.8[/tex] seconds.

The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Lola needs to sign 96 invitations.

And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.

Since, No of invitation's =96

And, Time required to sign 1 invitation = 5.3seconds

So, Let the time required to sign 96 invitation = x

Hence, We get;

x = 5.3 x 96

  = 508.8 seconds

Thus, The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

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what is 67.18 - 82 equal

Answers

Answer:

i wish i could tell you but i suggest that you use a calculator to find your answer.

Step-by-step explanation:

i really hope this helps you!

Answer:

-14.82

Step-by-step explanation:

Expand the function.
4
f(x)
=
(2x + 3)4

Answers

Answer:

16 x ^4  −  96 x^ 3  +  216 x ^2  −  216 x  +  81

Step-by-step explanation:

Use the binomial expansion theorem to find each term. ∑

∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k

Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4

Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4

Simplify each term.

= 16 x ^4  −  96 x^ 3  +  216 x ^2  −  216 x  +  81

Write the equation of the line y=-11/3x+3 in standard form

Answers

The standard form of the equation of line will be;

⇒ 11x + 3y = 9

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation of line is,

y = -11/3 x + 3

Since, The standard form of the equation of line will be;

Ax + By = C

Where, A, B and C are integers.

Now, We convert the equation of line in standard form as;

The equation of line is,

y = -11/3 x + 3

Multiply by 3 in both sides,

3 × y = 3 (-11/3 x + 3)

3y = 3 × -11/3 x + 3 × 3

3y = - 11x + 9

3y = - 11x + 9

Add 11x both side;

11x + 3y = - 11x + 9 + 11x

11x + 3y = 9

Thus,

The standard form of the equation of line will be;

⇒ 11x + 3y = 9

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Find the slope of the line that passes through (7, 1) and (2, 3).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Slope formula: (y2-y1)/(x2-x1)
Plug in the values
(3-1)/(2-7) = 2/-5 = -2/5

The slope is -2/5

Answer:

-2/5

Step-by-step explanation:

slope equation is as follows -

(y1-y2)/(x1-x2)

now we just put (7,1) and (2,3) into the formula

(1-3)/(7-2)

-2/5

Answer 5 and 6 please

Answers

Answer: 5) F:(1,-1)

6) W:(-3,-2)

Step-by-step explanation:


6
How much
10 500
A pile of bricks weighs 22 kg.
18750g of bricks are removed. What weight is left?

Answers

Answer:

3,250g

Step-by-step explanation:

22kg = 22,000g - 18,750g = 3250g

help me plz math is hard

Answers

The answer to that is c

I need help please !

Answers

Answer:

y column: 1st = -7 , 2nd = -5 , 3rd = -3 , 4th = -1 , 5th = 1

What are the solutions to the equation |X – 3|= 14?
x= 11 only
Ox= -11 and x = 17
x= 17 only
x= -11 and x=11

Answers

Answer:

{-11,17}

Step-by-step explanation:

|X – 3|= 14

There are  two solutions to an absolute value, one positive and one negative

x-3 = 14    and x-3 = -14

Add 3 to all sides

x-3+3 =14+3         x-3+3 = -14+3

x = 17                     x = -11

x = {-11,17}

En el salón de Esteban hay 28 alumna y solo han regresado a clases presenciales 45% de sus compañeros ¿cuantos alumnos faltan por regresar?

Answers

15 students are yet to return for the face to face classes

Given the following parameters

Total number of students in Esteban's classroom = 28 students

If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6

People that are yet to return  = 28 - 12.6

People that are yet to return  = 15.4

This shows that about 15 students are yet to return for the face to face classes

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You start at (4,5). You move down 3 units. Where do you end?

Answers

Answer:

(4,2)

Step-by-step explanation:

If you move from left to right your X will change if you move up or down your Y will change.

( can I have brainiest? )

what is 492 divided bye 2 someone help me

Answers

Answer:

246

Step-by-step explanation:

Given that,

→ what is 492 divided by 2 ?

In mathematical form,

→ 492 ÷ 2

→ 246 {final answer}

Hence, the answer is 246.

How to find Y intercept of the line passing through the points

Answers

Answer:

Y-intercept: (0, -3)

Step-by-step explanation:

Given the two points, (6, 5) and (3, 1):

We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.

Slope

We must first solve for the slope of the line using the following formula:

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

Let (x₁, y₁)  = (3, 1)

     (x₂, y₂) = (6, 5)

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}[/tex]

Hence, the slope of the line is:  [tex]\sf{m\:=\frac{4}{3}}[/tex] .

Y-intercept:

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).  

In order to find the y-intercept, use one of the given points, (6, 5), and the slope, [tex]\sf{m\:=\frac{4}{3}}[/tex], and substitute these values into the slope-intercept form and solve for the value of b:

y = mx + b

[tex]\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }[/tex]

5 = 8 + b

Subtract 8 from both sides to isolate b:

5 - 8 = 8 - 8 + b

-3 = b

Therefore, the y-intercept is (0, -3), where b = -3.  

What is the slope of the line passing through the points (−3, 4) and (2, −1)?

3/5 this is a fraction by the way

1

−1

−53

Answers

[tex](x_1,y_1) = (-3,4),~~ (x_2,y_2) = (2,-1)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} =\dfrac{-1-4}{2+3} = \dfrac{-5}5 = -1[/tex]

I NEED HELP WITH ANOTHER ONE FIND THE MEASURE OF X

Answers

Answer:

x ≈ 3.2

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3.7}[/tex] ( multiply both sides by 3.7 )

3.7 × cos29° = x , then

x ≈ 3.2 ( to the nearest tenth )

Answer:

3.2

Step-by-step explanation:

we have two angles, 29 and 90.

we need one more angle to make the total sum of the angles 180.

the angle to do this is 61.

the area of this triangle so far is 2.90244.

using the area, we can find that the x side is 3.23609.

round 3.23609 to the tenth, we get 3.2

Jane has 125 pairs of shoes if she's worn 20% of her shoes how many pairs has she worn

Answers

25 shoes because 125•.20=25

PLEASE HELP 60 PTS

Graph the piecewise function.

Answers

Answer:-2x < 10.

Step-by-step explanation:

True or False:
Rachel used 12 centimeters of tape to wrap 3
presents.
Her unit rate is 12.
Select one:
True
O False
Check
No links.

Answers

Answer:

False

Step-by-step explanation:

The unit rate should be 9

Answer:

i think false

Step-by-step explanation:

if im wrong forgive if am right brainliest pls:)

pls help this is annoying me :) <3​

Answers

Answer:

f(0) = 2, x = - 2, x = - 1

Step-by-step explanation:

f(0) means what is the value of y when x = 0

x = 0 is a point on the y- axis

Thus when x = 0 , y = 2 , that is

f(0) = 2

(b)

The roots are the values of x on the x- axis where the graph crosses

This occurs at x = - 2 and x = - 1 ← roots

2√8 -3√50+√32 AHIHIHI

Answers

Answer:

-9.89949493661

Step-by-step explanation:

RE
Which graph represents the function f(x) = -X2 + 5?
N
10-
8-
6
2
o
-10 -56-4
ca
M
4
6
8
10
X
do ou

Answers

Answer:

I can't interpret the data the way it is presented.  Are there two columns?  I'll assume "-x2" is really "-x^2."

I've attached a plot of the function.  Check to see which of your points fall on the line.

Step-by-step explanation:

y = -x^2 + 5

solve pls brainliest

Answers

Answer:

$8

Step-by-step explanation:

20% of $40

= [tex]\frac{20}{100}[/tex] × $40

= 0.2 × $40

= $8

$8 is discounted from the regular price

Answer:

$8 off

Step-by-step explanation:

Convert from a percentage to a multiplier by dividing by 100:

[tex]\frac{20}{100}=0.2[/tex]

Then multiply that by the price:

[tex]40*0.2=8[/tex]

meaning the item is $8 off.

You can confirm that like so:

[tex]\frac{8}{40} =0.2\\[/tex]

or 20%

y=1/4x + 4 input (x) = 4 find (y) output PLEASE HELP

Answers

Answer:

y = 5

Step-by-step explanation:

y = (1/4)x + 4

input (x) = 4

plug in 4 for x

y = (1/4)(4) + 4

y = 1 + 4

y = 5

Write the following statement in the form of equation.
1) One third of a number plus 7 is 26​

Answers

1/3x+7=26
1/3 of x plus 7 is 26

Divide 31.50 / 2.50 step by step. Write is out on paper if you can. :D

Answers

Answer:

12.6 you divide 31.50 by 2.50 pretend the decimal signs aren't there.

find the angles marked with with letters​

Answers

Answer:

<A=67⁰

<B=22⁰

<C=42⁰

Mark me BRAINLIEST

Answer:

a = 67° , b = 26° , c = 69°

Step-by-step explanation:

a and 67° are corresponding angles and are congruent , so

a = 67°

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

The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is

b + 34° = 60° ( subtract 34° from both sides )

b = 26°

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

The vertex of the triangle and 42° are vertically opposite and are congruent

vertex = 42°

The triangle has 2 equal legs and is isosceles with 2 base angles congruent.

c = [tex]\frac{180-42}{2}[/tex] = [tex]\frac{138}{2}[/tex] = 69°

Audrey & Jack begin a candlelight

dinner at 5pm with a 9-inch candle. At

8pm, their candle is only 3 inches.

What is the average rate of change of

the height of the candle per hour?

Answers

Answer:

-2 inches per hour

Step-by-step explanation:

Finding the average rate of change is just like finding the slope. So, take the y values (height) and subtract them and divide that by the difference in the x values (time).

( 3 - 9 ) / ( 8 - 5 )

= -6 / 3

= -2 inches per hour

I thought of a number I called this number n I multiplied my number by the sum of 12 and 18 I added 43 to the result and I got 103 what is n equal to​

Answers

[tex](n \times (12 + 18)) + 43 = 103[/tex]

[tex]30n + 43 = 103[/tex]

Subtract both sides 43

[tex]30n + 43 - 43 = 103 - 43[/tex]

[tex]30n = 60[/tex]

Divide both sides by 30

[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]

[tex]n = 2[/tex]

Substitute x = 9 and solve for B
3x + 10 = b

Answers

Answer:

b = 37

Step-by-step explanation:

3x + 10 = b

(3 x 9) + 10 = 27

27 + 10 = 37

Answer:

b Is 37

Step-by-step explanation:

x Is 9

instead of x you write 9

3x mean 3×X

3×X+10= 3×9+10=27+10=37

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