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

Consider the following cost function.
A. Find the average cost and marginal cost functions.
B. Determine the average and marginal cost when x = a.
C. Interpret the values obtained in part​ (b).
C(x) = 1000 + 0.1x, 0 ≤ x ≤ 50000 ≤ x ≤ 5000, a = 2000

Answers

Answer:

a)Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]

Marginal cost function =[tex]C'x=0.1[/tex]

b) [tex]\bar{C(2000)}=0.6[/tex]

[tex]C'(2000)=0.1[/tex]

c)[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items

C'(2000)=0.1 is the marginal cost to produce 2001 th item

Step-by-step explanation:

Cost function: [tex]C(x) = 1000 + 0.1x[/tex]

a)Find the average cost and marginal cost functions.

Average cost function =[tex]\bar{C(x)}=\frac{C(x)}{x}[/tex]

Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]

Marginal cost function =[tex]C'x=0.1[/tex]

b) Determine the average and marginal cost when x = a.

a = 2000

Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}=\frac{1000+0.1a}{a}=\frac{1000+0.1(2000)}{2000}=0.6[/tex]

So, [tex]\bar{C(2000)}=0.6[/tex]

Marginal cost function =[tex]C'(2000)=0.1[/tex]

c)Interpret the values obtained in part​ (b).

[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items

C'(2000)=0.1 is the marginal cost to produce 2001 th item

For statistical tests of significance about the coefficients, the null hypothesis is that the slope is 1. True False

Answers

true if i’m not mistaken

The function that represents the amount of caffeine in milligrams remaining

Answers

Answer:

Step-by-step explanation:

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.

Answer:

If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:

A(t) = c×e^(dt)

where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)

I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.

This relationship solving for the remaining miligrams can be given by:

A(t) = 190 mg × e ^ (-.36t)

Where t is the amount of hours.

Find the perimeter of the figure if the following
is true:
a = x2
b = 4x + 8
c = 2x²
d = x​

Answers

The answer to this question is A

what is /4 of 3/4 =
What is 1/4 of 3/4

Answers

Answer:

3/16

Step-by-step explanation:

1/4 of 3/4 is just another way of saying (1/4)*(3/4). When multiplying fractions, you must multiply the numerators and denominators to get the product so the numerator of the products is 1*3 and the denominator is 4*4 to get:

3/16

Answer:

3/16

Step-by-step explanation:

1/4 of 3/4

= 1/4 × 3/4

you multipy the numerators together and then multiply both denominators

ie. 1×3 divided by 4×4

= 3/16

Find the value of (27) to the - 2/3

Answers

Answer: Yes. For example: (27)^2/3 would be 3^2 which = 9.

Step-by-step explanation: Hopefully this help :D ask for more help if you need!

Which angles are adjacent?

Answers

Answer:

D) mln and kln

Step-by-step explanation:

angles are adjacent when they have a common side and a common vertex, they have to share both a side and vertex

Jeff places a pineapple with mass of 890g on a balance scale. He balances the scale by placing 2 oranges, an apple and lemon on other side. Each orange weighs 280g. The lemon weighs 195g less than each orange. What is the mass of the apple?

Answers

Answer:

bnbvmnbnjnmbkjbvkjhbjn

Step-by-step explanation:

lnjkkllknnhljknk

anyone in flvs? we should find each other in live lessons lol

Answers

Answer:

nope

Step-by-step explanation:

What is 17 : 3 to 740

Answers

Answer:

629 : 111

Step-by-step explanation:

17 + 3 = 20

20 goes into 740 exactly 37 times.

So what you are looking for is:

17 x 37 : 3 x 37

Which  makes your answer:

629 : 111

let me know if this helps!!

When Andy goes to the shop ,he finds that:
The regular price of a single candy bar is 79 cents.
Packs of 5 candy bar cost $3.
There is a special offer of “buy two get one free”.

Question 1.find the cost of buying 20 single candy bars at the regular price.
Question 2.how much will Andy pay if he buys 20 candy bars in packs of 5?
Question 3.find the cost of buying 20 candy bars at the special price.

Answers

Answer:

1. $15.80

2. $12

3. $11.06

Step-by-step explanation:

Step-by-step explanation:

1. Buying 20 single candy bars at regular price

The regular price of one is 79 cents.

(# of bars) X (price per bar) = regular price

20 X 79 cents = 1580 cents

1580 cents = $15.80

2. Buying 20 bars in packs of 5

Each pack is $3

(# of packs) X (price per pack) = pack price

(20/5) X ($3) = pack price

4 X $3 = $12

3. Buying 20 bars at special price

For every 2 bought, 1 is free.

(Number of bars paid for) X (price per bar) = special price

(2(20/3)) X (0.79) = special price

14 X 0.79 = $11.06

Because for every 2 bars that are paid for, 1 is free, he pays for 14 bars and he gets the 21st free.

Andy's 20 regular priced candy bars are $15.80, bars in packs are $12, and bars at the special price is $11.06.

3/4 divided by 8/9
A. 1/2
B. 2/3
C. 26/35
D. 27/32

Answers

Answer:

27/32

Step-by-step explanation:

Answer:

D. 27/32

Step-by-step explanation:

3/4 / 8/9

3/4*9/8

27/32

What is the solution to this equation?

10x- 15x+ 5 = -45 + 20
O A. x = 4
B. X= -6
C. x=-4
O D. x = 6

Answers

Step-by-step explanation:

[tex]10x - 15x + 5 = - 45 + 20 \\ or \: 10x - 15x = - 45 + 20 - 5 \\ or \: - 5x = - 45 + 15 \\ or \: - 5x = - 30 \\ or \: \frac{ - 5x}{ - 5} = \frac{ - 30}{ - 5} \\ or \: x = 6 \\ \\ therefore \: the \: value \: of \: x \: is \: 6.[/tex]

D. The value of X is 6. I hopes it helps you ☺️.......

Thank you ☺️

The front porch has a width of 2x feet, length of 8
feet, and its area is 112412. What is the width?

Answers

i think it’s 16 since there’s an x on 2 so you have to multiple 2x8

Martha earns $24 in four hours. How much would she
earn in 10 hours?

Answers

Answer:

$60

Step-by-step explanation:

24/4=6

6*10=60

Answer:

$60

Step-by-step explanation:

24 ÷ 4 = 6

6 × 10 = 24

she makes $6 an hour. $60 in ten hours.

Graph the parabola.
y = 3x + 6x-3

Answers

Answer:

15

Step-by-step explanation:

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x ?

Answers

Answer: 3cups

Step-by-step explanation:

List all of the solutions.

3cups = 48 = y = cups = x =

Answer:

3cups

Step-by-step explanation:

what is the value of x (3x-3) 6(x-10)​

Answers

Answer:

x = 21

Step-by-step explanation:

Consider these three numbers written in scientific notation.

1.67
9.7
4.5
Which shows the numbers in order from least to greatest?
A. 1.67 , 9.7 , 4.5
B. 4.5 , 9.7 , 1.67
C. 1.67 , 4.5 , 9.7
D. 9.7 , 4.5 , 1.67

Answers

The correct order from least to greatest is:

9.7 x 10^-6.1.67 x 10^4.4.5 x 10^9.

What is scientific notation?

Scientific notation is a system that simplifies very big or small numbers by using 10^... In this case, the number multiplied by the power of 10 indicates the number of 0 or digits before the period (.) in case the number is negative or after the period (.) in case, the number is a positive integer.

Numbers in scientific notation to standard form:

To understand which number is the smallest/greatest let's convert these numbers to regular notation:

1.67 x 10^4 = 167009.7 x 10^-6 = 0.00000974.5 x 10^9 = 4500000000

Based on this, the correct order is:

9.7 x 10^-6.1.67 x 10^4.4.5 x 10^9.

Note: This question is incomplete because the complete numbers are not provided. Here is the missing section.

Consider these three numbers written in scientific notation.

1.67 x 10^4

9.7 x 10^-6

4.5 x 10^9

Learn more about numbers in: https://brainly.com/question/17429689

Answer:A. 115

B. 200

C. 11,500

D. 20,000

Step-by-step explanation:

Say that Malaysia has a workforce of 11,071,016, with an average yearly salary of (equivalent US dollars) $15,196. How much more revenue will the Malaysian government gather if it sets the income tax at 17% than if it sets the income tax at 8%, to the nearest million dollars? a. $21,059 million b. $16,824 million c. $15,141 million d. $13,459 million

Answers

Answer:

c. $15,141 million

Step-by-step explanation:

Population = 11,071,016

Average salary = $15,196

Tax rate 1 = 17%

Tax rate 2 = 8%

Revenue from tax :

Tax rate * average salary * population

To obtain the revenue difference :

(11,071,016 × $15196 × 17%) − (8% × $15196 × 11,071,016)

= $15,141,164,322.24

Answer:

c.

$15,141 million

Step-by-step explanation:

please help me with this .
i’m going to give out the brainly thingy

Answers

Answer:

Comment if you ready for me to give you an answer

Also message me please.

Step-by-step explanation:

Answer

B

Step-by-step explanation:

Basically divide the Number of Candles by the price.

A) $2.40/2 = $1.20

B) $3.50/5 = $0.70

C) $8.00/10 = $0.80

D)$9.48/12 = $0.79

B cost the least at $0.70

The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the formula to solve for b and select the correct option below (A) b=A/(2h) (B) b=2Ah (C) b=(1/2)Ah (D) b=2A/h

Answers

Answer:

[tex]b=\dfrac{2A}{h}[/tex]

Step-by-step explanation:

The formula for the area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh[/tex] ...(1)

Where b is the length of the base and h is the height.

We need to find the value of b from the above formula.

Cross multiplying equation (1) we get :

[tex]2A=bh[/tex]

Now dividing both sides by h. So,

[tex]\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}[/tex]

So, the correct option is (D) i.e. [tex]\dfrac{2A}{h}[/tex].

What is the relationship between the 5’s in 345,502

Answers

The answer is to the question is C

Nine less than five times a number is equal to -30.

Answers

Answer: 5x-30-9

-159

Step-by-step explanation:

-159 is the answer

marina wants to make 6 dozen cookies for the school bake sale. how much milk and mix does she need?
Number of cookies: 24
amount of mix: 2 1/2
amount of milk: 1 1/4

Answers

You would multiply the milk and mix by 3. Which is 7 1/2 mix and 3 3/4 milk

Order the fractions 1/2, -2/3, -3/8 0 from least to greatest

Answers

Answer:

-2/3, -3/8, 0, 1/2

Step-by-step explanation:

Find the missing angles.

Answers

Answer:

150

Step-by-step explanation:

f(x) = 2x^3 g(x) = x-3

find f(2)
find g(4)
find (f+g) (x)

Answers

[tex]f(x) = 2 {x}^{3} [/tex]

[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]

_________________________________

[tex]g(x) = x - 3[/tex]

[tex]g(4) = 4 - 3 = 1[/tex]

_________________________________

[tex](f + g)(x) = f(x) + g(x) [/tex]

[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]

_________________________________

Done...♥️♥️♥️♥️♥️

Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 2 liters per minute. Which equation below best represents how many minutes, m, will it take for the two containers to have the same amount of water?

Answers

Answer:

There is no equation?

Step-by-step explanation:

for a review, help would be appreciated (:

Answers

Answer:

Blurry as'.'s picture I cant see nothin

Step-by-step explanation:

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