Is 23/√3 a rational number? Again is 23 over root 3 a rational or irrational number.

Answers

Answer 1

Answer: irrational number

Step-by-step explanation:

Let us write it out.

      [tex]\displaystyle \frac{23}{\sqrt{3} }[/tex]

Next, we will define ratoinal and irrational.

      A rational number is a number that can be written as a whole number, fraction, or decimal that ends / repeats.

      An irrational number is any number that cannot be turned into a fraction.

Let us see which category the number given falls into.

      [tex]\displaystyle \frac{23}{\sqrt{3} } = 13.27905619\;\;\;\;\;\;\text {it goes on...}[/tex]

This means  [tex]\frac{23}{\sqrt{3} }[/tex] is an irrational number.


Related Questions

y is directly proportional to the square root of x, y is 75 and x is 100. find a formula linking x and y

Answers

Answer:

y = 7.5[tex]\sqrt{x}[/tex]

Step-by-step explanation:

given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion

to find k use the condition y = 75 , x = 100 , then

75 = k[tex]\sqrt{100}[/tex] = 10k ( divide both sides by 10 )

7.5 = k

y = 7.5[tex]\sqrt{x}[/tex] ← equation of proportion

Which graph shows a negative slope and a positive y-intercept?

Answers

Answer:

The last one ( bottom left)

Step-by-step explanation:

negative slope means the line is going downwards

positive y intercept means the line hits the y axis on a positive number

for 9-10 use the diagram

value of x?

if the circle is centered at point O, what is the measure of MON

Answers

[tex]\bold{ANSWER:}[/tex]
x = 25

[tex]\bold{SOLUTION:}[/tex]



Martin takes a test that has five multiple choice questions. Each question has three possible
answers. If Martin guesses on each question, in how many different ways can he answer the
questions on the test?

Answers

Answer:

about 2/5 of the question probability lol

whats the median 19 19 20 21 2324 25 26 27 29 33

Answers

Answer:

The median is also known as the middle of the data set when it has already been sorted.  So the first thing that we need to do is make sure that our data set is fully sorted.

[tex]19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33[/tex]

Now that we have our data set sorted, we can located the middle.  Since this data set has 11 numbers that means number 6 is going to be our median.  Counting from the left we get that our median is 24.

Hope this helps!  Let me know if you have any questions

Answer: The answer is 24.

Step-by-step explanation: To find the median, you put all your data in order from least to greatest, which would look like:

19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33

Then, cross out the numbers from front to back until you find your middle number.

19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33

This leaves 24 left, which is the answer!

Need help please answer ASAP!

Answers

#34.

If one's price be d

The expression is 20-2d

#35

20% means 0.2 or 2/10

So old area=150(100)=15000

New area increase

15000(2/10)=3000

New area

15000+3000=18000

Option C

#36

Prime numbers inbetween

2,3,5Probability=3/6=1/2

#37

3(x-2)=2x+63x-6=2x+6x=12

#38

1hr additional=1.5(2)=3$

Equation is

y=5+3x

So

12.5=5+3x7.5=3xx=2.5hours

Option A

Answer:

here i have tried 2 question hope it help u

Help asap. Show your work please :)

Use the function f(x) = 5x2 + 2x − 3 to answer the questions.

Part A: Completely factor f(x). (2 points)

Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)

Answers

A) factor f(x) are 3/5 and -1.

B) x-intercepts of the graph of f(x)  are (3/5, 0) and (-1, 0).

C)  The end behavior is explained by vertex of the graph which is (-0.2, -3.2)

D) The graph is symmetrical about x = -0.2. shown below

What is factorization?

Factorizing is a way of writing an expression as a product of its factors using brackets.

Given function is : 5x² + 2x − 3

A)5x² + 2x − 3

= 5x² + 5x-3x − 3

= 5x(x+1)-3(x+1)

=(5x-3)(x+1)

So, factors will be 3/5 and -1.

B) f(x)= 5x² + 2x − 3

The x-intercepts are when f(x) = 0.

So, x-intercepts are (3/5, 0) and (-1, 0).

C) The x-coordinate of the vertex is the midpoint of the zeros.

 midpoint= (3/5-1)/2

                =-0.2

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

f(-0.2)= 5(-0.2)² + 2(-0.2) − 3

=-3.2

So, the end behavior is explained by vertex of the graph which is (-0.2, -3.2)

D) By plotting the zeroes and the vertex of the f(x).

The axis of symmetry is the x value of the vertex.

Thus,   the graph is symmetrical about x = -0.2.

Learn more about factorization here:

https://brainly.com/question/20293447

#SPJ1

What is the percent change 3.9 to 0

Answers

Answer:

a decrease of 100%

Step-by-step explanation:

im not fully sure butni hope it helps

Solve for x in the equation 3^2(x+3)÷8(x-4)=64÷2x

Answers

Answer:

Hope this helps, it was a hard equation... mark me brainliest

Step-by-step explanation:

9x+27÷8x-24=64÷2x

9x÷8x+3=64÷2x

9x÷8x*2x=61

x^3=244/9

x=

approximately  3.00411

help me find the value of x I will give BRAINLIEST HELP QUICK

Answers

Answer:

560

Step-by-step explanation:

If this isn't correct Im sorry I rushed it should be right but if not it should be close.

A student used the equation below to create a table.
y=-3x - 5
The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
O (-11, -2)
O (-2,-11)
O (-2, 1)
O (1.-2)
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

second option -2, -11

Step-by-step explanation:

when you put -2 where x is then

y is -11

Which number is a rational number?
square root of 15
2.438346835387
17.156
cube root of 85

Answers

17.156 is rational. Hope that helped.

What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4

Answers

The simplified value of the exponential expression is 2.

How to get the simplified expression?

Here we need to simplify the expression:

[tex]16^{1/4}[/tex]

First, you need to remember that:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Then we can just write:

[tex]16^{1/4} = \sqrt[4]{16}[/tex]

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

[tex]2^4 = 16\\\\\sqrt[4]{16} = 2[/tex]

So we conclude that the simplified value is 2.

If you want to learn more about exponential expressions:

https://brainly.com/question/11464095

#SPJ4

Answer:

The simplified value of the exponential expression is 2.

How to get the simplified expression?

Here we need to simplify the expression:

First, you need to remember that:

Then we can just write:

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

So we conclude that the simplified value is 2.

If you want to learn more about exponential expressions:

brainly.com/question/11464095

#SPJ4

Which scatter plot shows no association between the variables?

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

There seems to be no strong correlation for scatter plot B.

Hope this helps:) Goodluck!

help plsls I’ll brainlist i promise this one’s abit confusing tho.

Answers

Answer:

25

Step-by-step explanation:

Please refer to the picture;

A window is shaped like a parallelogram
The base of the window is 14.25 inches.
The area is 356.25 square inches. What
is the height of the window?

Answers

Answer:

Do the area divided by the base on a calculator for the answer

Answer:

Height of the window= 25 inches

Step-by-step explanation:

Area of a parallelogram : base * height (of the side taken as base)

so height = area/base =  356.25/14.25 = 25 inches

If sin = 2/5, what is csc ? (Answer must be in fraction form)

Answers

Answer:

csc x = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

using the identity

csc x = [tex]\frac{1}{sinx}[/tex]

then

csc x = [tex]\frac{1}{\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]

Help me solve this problem please

Answers

Answer :

C

Explanation :

The question given in C is statistical as compares the data in an item out of a set

For questions 2 z 3. simplify each polynomial
2. 3x²+6-2x+5x-4x²+9
3. 2x²+6x-7x+8-3x²+1​

Answers

Answer:

2. [tex]-x^{2} +3x+15[/tex]

3. [tex]-x^{2} -x+9[/tex]

Step-by-step explanation:

We add like terms together to simplify

2.  3x²-4x²= -x²     -2x+5x= 3x  6+9= 15  all equal to -x²+3x+15

3.  2x²-3x²= -x²      6x-7x= -x    8+1=9      all equal to -x²-x+9

Which of the following pairs of numbers has 16 as their greatest common factor?


32, 48

32, 48

32, 62

32, 62

48, 36

48, 36

42, 16

42, 16

Answers

Answer:

32, and 48. This is the greatest factor of 16

Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter.

Answers

To find the area of the circle:

 ⇒ need to know the formula: [tex]\pi r^{2}[/tex]

r: radius or half of diameter's length ⇒ 7 meters

Let's calculate:

 [tex]Area = \pi (7)^2=49\pi =153.9380m^3[/tex]

The problem asks us to round to the nearest hundreth:

[tex]Area = 153.94m^3[/tex]

Answer: [tex]153.94m^3[/tex]

Hope that helps!

 

First one to answer, i will mark brainlist

Answers

Answer:

Sides in descending order:  YZ > ZX > XY

Step-by-step explanation:

Sum of all angles of triangle = 180

    104 +52 +  ∠Z = 180

            156 + ∠Z = 180

                      ∠Z = 180 - 156

                      Z = 24

The sides opposite to the biggest is the longest side.

Angles in descending order: ∠X  >  ∠Y >  ∠Z

Sides in descending order:  YZ > ZX > XY

Find another angle

m<Z

180-(104+52)180-15624°

We know higher the angle measure higher the opposite side and vice-versa

Here

X>Y>Z

Hence

YZ>XZ>XY

Lance paid 6% sales tax on a $30 game. What is the total amount did Lance pay?

Answers

Answer:

The answer is attached.

Each boy in a class has 11 pockets and each girl in a class has 13 pockets. How many boys and girls are in this class if all 21 students have a total of 251 pockets?

Answers

Answer:

10 girls and 11 boys

Step-by-step explanation:

That is the answer!!

Answer:

There are 10 girls and 11 boys.

Step-by-step explanation:

Set up two equations. One equation is from the info that there are 21 total students. The other equation is from the calculation for the number of pockets. See image.

what is the answer of 6x +3y?

Answers

Answer: 3*(2x+y)

Step-by-step explanation:

The sum of three consecutive integers is 90. Find the integers. If the smallest integer is x, the equation will be. I NEED HELP PLS SOLVE THIS QUICKLY I BEG YOU.

Answers

Answer:

x = 29

Step-by-step explanation:

Take the smallest integer as x. The next one as (x+1) and the last one as (x+2)

x + (x+1) + (x+2) = 90

x + x + x + 3 = 90

3x = 87

x = 29

Hence, x = 29

Hope this helps out. Feel free to mark me as brainliest! :)


What is the measure of the base of the rectangle if the area
of the triangle is 32 ft2 ?

Answers

Answer:

it would be a

Step-by-step explanation:

8x4=32

The base of the given triangle is calculated as: 16 ft

How to find the area of a triangle?

The formula that is used to calculate the area of a triangle is expressed as:

Area of triangle= ½ × base × height

We are given that:

Area = 32 ft²

Height = 4 ft

Thus:

32 = ½ × base × 4

32 = 2 * base

base = 32/2

base = 16 ft

Read more about Area of Triangle at: https://brainly.com/question/17335144

#SPJ3

A rectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 x)(9 x) = 88. what does the value of x in her solutions represent? one possible length and one possible width two possible amounts for the widths two possible amounts for the lengths two possible amounts by which the dimensions were changed

Answers

The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft

How to determine the value of x?

The equation is given as:

(6 + x) * (9 + x) = 88

Express 88 as a product of two factors

(6 + x) * (9 + x) = 8 * 11

Express 8 and 11 as a sum

(6 + x) * (9 + x) = (6 + 2) * (9 + 2)

By comparison, we have:

6 + x = 6 + 2

9 + x = 9 + 2

This means that

x = 2

So, we have:

The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft

Read more about area at:

https://brainly.com/question/24487155

#SPJ4

Answer: D) two possible amounts by which the dimensions were changed

Step-by-step explanation:

Edg 2022

Para hacer los laterales de una caja de madera de 40 cm de ancho, 40cm de largo y 35cm de altura, ¿que superficie de madera necesito?

Answers

Answer:

8800 cm^2

Step-by-step explanation:

superficie = [(40x40)x2] + [(40x35)x2] + [(40x35)x2]

s = (3200) + (2800) + (2800)

s = 8800 cm^2

Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?

Answers

The width of the rectangular box with  volume of 150 cubic inches is: 5 inches.

What is the Volume of a Box?

Volume of a box = (length)(width)(height).

Given the following:

Volume of the box = 150 in.³Height = 2 in.Width = w in.Length = w + 10 in.

150 = (w + 10)(w)(2)

2w² + 20w - 150 = 0

Factorize

(w - 5)(w + 15) = 0

w = 5, w = -15

The width cannot be negative, therefore, the width of the box is: 5 inches.

Learn more about the volume of a box on:

https://brainly.com/question/14957364

#SPJ1

Other Questions
clear cutting can cause the erosion of Sub-Saharan Africa and South Asia have some of the world's lowest literacy rates, averaging ________ percent. 2. What do humans require freshwater for and what will happen if we deplete freshwater resources? Does the efficiency of a motor depend on mass? Find the nth term of the following sequence:5, 20, 45, 80, 125 The surface area of a cone is square units. the height of the cone is times greater than the radius. what is the length of the radius of the cone to the nearest foot? the radius is about feet. Commonlit teenage crushes answer key ? 27What is the area of the triangle?units? Part A: What was the main purpose for using the small boats in the rescue operation?A.The small boats were piloted by regular citizens and therefore allowed the British soldiersto do their job of fighting the German army.B. The small boats were harder to see at night and thus could more easily avoid the Germanattacks from the ground and the air.C. The small boats, as a group, could hold a greater number of soldiers than the bigger boatsbelonging to the British navy.D. The small boats could get close to the beach and transfer the soldiers to the bigger boatsthat had to stay in deep water. How does our environment help create emotion ? when the author is trying to convince the audience or reader of something is called..?? 1.) argument 2.)evaluate 3.)claim find all solutions 36x+12x=0 Net ionic equation for Calcium hydroxide reacting with ammonium Chloride? Which of the following are true about the 2011 Japan Earthquake A. The Japan earthquake produced a large tsunami that was predicted almost exactly by the early warning systems. B. It slipped on a large surface area on the subduction thrust fault interface and this slip area encompassed several past earthquake slip patches that involved magnitude 8.0 events. No known historic earthquake showed this amount of slip within the Japan trench and it was therefore completely unexpected. Tsunami depost records, however, indicated that there was a likely similar sized earthquake about 1000 years ago in this same area. C. It slipped over a medium sized area that was similar to past events. D. The Japan earthquake was the largest earthquake of all time. This 1970s U.S. president survived twodifferent assassination attempts.A. Richard NixonB. Gerald FordC. Jimmy Carter 3 = 69 Help pleaseeee its solving exponential equations with logarithms worksheet How many scalene triangles can be made? At which position is the northern hemisphere experiencing winter?The image includes the position and tilt of Earth in its orbit around the sun. Earth is tilted away from the sun in position A. In position B, the sun shines evenly on Earth from pole to pole. Earth is tilted toward the sun in position C. In position D, the sun shines evenly on Earth from pole to pole.Public Domain Point A Point B Point C Point D Who were the big three great leaders of the allied nations after WWII and what country were they from? Which three places did they have conferences and what did they discuss in those meetings? A gas station offers a lucky draw to customers. each time you spend more than $20 on gas, you can make a draw to win a prize. the probability of winning a prize is 1/12 suppose you buy gas 4 times. what is the probability of you winning a prize each time?