Is the following number rational or irrational?
2.238359881…….

Answers

Answer 1

Answer

for the short answer...it's irrational

Answer 2

Answer:

It is irrational.

Step-by-step explanation: And it is not the solution to any polynomial equation with integer coefficients, so it is also transcendental.

However, it IS possible to raise an irrational number to an irrational power and get a rational number.

For example, let x=2–√. It is well known that this is irrational.

Let y=2log25.  This is irrational, since log25 is irrational.

But xy=2–√(2log25)

=2(log25)=5.

This last equation is true because logs are inverses of powers. For example, 2(log2n)=n.

I would have thought any irrational raised to an irrational was always irrational, until I saw an example like this.

It is still a surprising result to me.


Related Questions

The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n

Answers

Answer:

3

Step-by-step explanation:

Given the question :

The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n

From the context of the expression:

n is the distance which exists between 1 1/2 and 3 units from it;

Which may be ;

1 1/2 - - - - (1 1/2 + 3) = 4 1/2

1 1/2 - - - - - (3 - 1 1/2)

Either way, there exists a distance of 3 units between 1 1/2 and 3 units from it.

Hence, n = 3

Answer:

1 and 3 would both be correct

What is the slope of a line parallel to a line whose slope is 5/2?

Answers

Answer:

5/2

Step-by-step explanation:

Parallel lines have the same slopes

Answer:

Step-by-step explanation:

because the new line is parallel, it will have the same slope as the original equation.

slope

=

3

we know the slope and a point, so we can use the point slope formula:

y

y

1

=

m

(

x

x

1

)

y

1

is the y coodinate,

x

1

is the x coordinate,

and m is the slope

plug the values in

y

+

2

=

3

(

x

+

5

)

What is the value of 92?

Answers

92? LOL? in what context
The value of 92 depends on what context you are talking about. 92 is just 92...


What is the measure of BDC

Answers

Answer:

105 degrees

Step-by-step explanation:

180 - 75 = 105

Question
A line with a positive slope Is parallel to one of the lines shown. What is its slope? Use the graph shown
below.
The slope is

Answers

Answer:

¼

Step-by-step explanation:

The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.

Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.

The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.

The red line has a negative slope. It slants down from left to right.

Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} [/tex]

[tex] slope(m) = \frac{1}{4} [/tex]

The slope of the line that is parallel to the blue line is ¼.

Given h(x) = 5x + 3. what is the value of h(-11)

Answers

Answer:

h(-11)=-52

Step-by-step explanation:

Answer:

h(x)=52

Step-by-step explanation:

so x= -11 now plug in for x and solve

5(-11)+3

-55+3= -52

What is
f(x) = x3 – 4x2 – 7x + 10 in factored form given that 5 is a zero of the function?

Answers

Answer:

(x-2)(x+1)(x-5)

Step-by-step explanation:

A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and their plan of going to graduate school. Compute the row percentages.
A. Yes = 35% and No = 65% Business = 25%, Engineering = 30%, and Others = 45%
B. Yes = 48% and No = 52% Business = 31.5%, Engineering = 36.5%, and Others = 32%

Answers

Incomplete question. Attached is an image of the table.

Step-by-step explanation:

A.

Yes = 35% = [tex]\frac{280}{800} * 100 =[/tex] 35%.   and No = 65% = [tex]\frac{520}{800} * 100 =[/tex] 65%

Business = 25% = [tex]\frac{70}{280} * 100 =[/tex] 25%.Engineering = 30% = [tex]\frac{84}{280} * 100 =[/tex] 30%.  and Others = 45% = [tex]\frac{126}{280} * 100 =[/tex] 45%.

When converted to​ millimeters, the distance meters is expressed as
nothing millimeters in scientific notation.

Answers

Answer:

meters must be converted into millimeters.

Step-by-step explanation:

I need to find what the square root is to 19,478,730. my teacher literally put that. help​

Answers

Answer: 4413.5

Step-by-step explanation:

4413.47142 if you need to be exact

PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.

Part A: Show your work to complete the square of the function. (1 point)

Part B: Identify the vertex of the function. (1 point)

Part C: Explain how to determine the maximum or minimum value of the function. (2 points)

Answers

Answer:

5x2=10+10=20+12= 32.

Step-by-step explanation

The correct answer is 32.

Hope I helped.

Expand the following expression 3(4−5x)

Answers

Answer:

12-15x

Step-by-step explanation:

3 × 4=12

3 × -5x=-15x

12 - 15x

How can I prove to my teacher I’m smart when I’m a kinda low-key student to her. Especially in mathematics.

Answers

Answer:

Do your work? Especially if you do it fast, it amazes them lol

Mr. Morales purchased 218 acres of land for his farm. If the total price of the land was $163,282, how much did each acre cost?

Answers

Answer:

$749 each

Step-by-step explanation:

what ln(2)? i just dont get this can you also show works

Answers

Answer:

2

Step-by-step explanation:

Because its more than likely asking whats in side the parenthisis

Answer:

ln(2) = 0.6931

Step-by-step explanation:

"ln" stands for natural logarithm.

You can memorize the "ln" of some of the basic prime numbers.

ln(2) = 0.6931

ln(3) = 1.0986

ln(5) = 1.6094

Beest of Luck!

Slope -2/3 through (-9,10)

Answers

Answer:

y  =  − 2 /3 x  + 4

Step-by-step explanation:

Answer: y=-2/3x + 4

Step-by-step explanation:

(01.04 MC)
What is the slope of the line which passes through (2,5) and (3, 6)? (5 points)

Answers

Answer:1

Step-by-step explanation:6-5/3-2=1/1

uhh so ders dis man and he fell one day on his butt, uhh so den he fell,,uhh another day....on his butt, how many times did he fall on his but?

Answers

Answer:

2 times

Step-by-step explanation:

Answer:

he did it 2 times

Step-by-step explanation:

because first, he fell on his but once the first day, and second the 2nd day.

The population of the United States increased by 27323632 in 2011. What proportion of this change is accounted for by Florida population? Round to the nearest hundredth. The population change for Florida is 218929 in 2011. Plz help

Answers

Answer:

To the nearest hundredth, this has a value of 0.01

Step-by-step explanation:

To find the proportion of the population change accounted for by Florida population, we just need to divide the population change for Florida by the population change in the entire country;

Mathematically, that will be ;

218929/27323632 = 0.008012441391393

To the nearest hundredth, this represents 0.01

A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner circle (so that students can get between classes in less than 10 minutes), and the outer circle contains all the dormitories, the Greek park, cafeterias, the gymnasium, and intramural fields. Assuming the center of campus is the origin, write an equation for the outer circle if the diameter is 3800 feet. Equation Editor

Answers

Answer:

[tex]x^2+y^2=36100000[/tex]

Step-by-step explanation:

Here it is mentioned that the there are two concentric circles this means that they have the same center.

The center of the circles are the origin [tex](0,0)[/tex].

Radius of the outer circle is

[tex]r=\dfrac{3800}{2}=1900\ \text{m}[/tex]

Equation of a circle

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

where

[tex]a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}[/tex]

[tex]r=\text{Radius of the circle}[/tex]

Here the equation will be

[tex](x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000[/tex]

The equation of the outer circle is [tex]x^2+y^2=3610000[/tex]

The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative

change in this situation. Round your answer to the nearest hundredth.


Absolute change=


Relative change=

Answers

Step-by-step explanation:

Given data

old price= $35,600

new price=$30,189

Absolute change= old price -new price

Absolute change=35,600-30,189

Absolute change=5411

Relative change=(old price -new price)/old

Relative change=(35,600-30,189)/35,600

Relative change=5411/35,600

Relative change=0.151

the relative change is a percentage= 0.151*100= 15.1%

The length of a rectangle is 4 feet less than twice its width, while the perimeter is 15.

Answers

Answer:

width: 3.83

length: 3.66

Step-by-step explanation:

The perimeter of a triangle is calculating by adding all the sides together (length + length + width + width). Since we are given the formula for the length we can simply substitute that formula and solve for the width which would be the only variable in the equation.

length + length + width + width = 15

(2w-4) + (2w-4) + w + w = 15  ... combine like terms

6w - 8 = 15  ... add 8 on both sides

6w = 15 ... divide both sides by 6

w = 3.83

Now that we know the value for the width we can plug it into the formula for the length to find its value

l = 2w - 4

l = 7.66 - 4

l = 3.66

Finally, we can see that the rectangle has a width of 3.83 and a length of 3.66

The class has a ratio of 5 boys for every 8 girls. If the school has 312 students, how many are boys

Answers

Answer:

120, if I did it right

Step-by-step explanation:

In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.

The length of a rectangle garden is 5 m greater than the width the area of the garden is 66 m² find the dimensions of the garden

Answers

66+5=71
71x66=4686
the dimensions would be 4686

13. Find the slope of the line that contains (3, 1) and (1, 1).

Answers

Answer:

slope would be zero

Step-by-step explanation:

It is not moving on the graph

Hope this helps!

Write the number in
standard form
6 tens+7=

Answers

Answer:

60 + 7 =

Step-by-step explanation:

its correct lol omg sjsjsjjsjsjsssjsjsnsnssn

Answer:

Answer: 67

10 x 6 + 7 = 67

2 1.3.3 Quiz: Random Sampling

Question 1 of 10

Three national news networks are trying to estimate what percentage of

American voters support a particular presidential candidate. To estimate the

population parameter, each of the three networks collect data from a simple

random sample of voters. Here are the numbers of voters in the networks'

random samples:

• Network A: 3800 voters sampled

• Network B: 3500 voters sampled

• Network C: 3250 voters sampled

Which sample is likely to have the least variability?

A. The Network A sample

OB. The Network B sample

OC. The Network C sample

Answers

Answer:

A. The Network A sample

Step-by-step explanation:

The variability of a dataset is a measure of how values in the dataset deviates from the mean value, the variability of a dataset is usually measured using the variance and standard deviation of the data values.

In statistics, variability is curbed by increasing the sample size of the data as larger values in the sample usually means that the sample mean will be close to the population mean. Hence, since network A has the highest number of Sampled voters, then Network A will likely have lesser variability than both Network B and C. Similarly, Network B will likely have lesser variability than Network C.

Network A: 3800 voters sampled

• Network B: 3500 voters sampled

• Network C: 3250 voters sampled

Answer:

A.

Step-by-step explanation:

Just took the test

given 0.731

enter an equivalent fraction in the thousands

and


enter an equivalent percentage​

Answers

I think your answer would be 731:)

Describe the possible values of x.​

Answers

Answer:

70x - 70 if it means 5 * 7 * (2x - 2)

Step-by-step explanation:

find the missing terms in the arithmetic sequences
a). -45, _ , _ , _, -39
b) -34,_,_,77

Answers

44,434241 should be the right answer
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