finding an irrational number between which given pair of numbers supports the idea that irrational numbers are dense in real numbers? math 3

Answers

Answer 1

If there is another element of the same set between any two members of a set, we can say that the set is dense.

We'll show that the first choice—3.14 and pi—is the right one.

To prove that the set of irrational numbers contains a lot of real numbers, we must first discover an irrational number that lies between two specified real numbers.

In order to extend this to the real set, which is the union of irrational numbers and rational numbers, we should be able to find an irrational number between a rational number and an irrational number (or between an irrational number and a rational number). This is because we know that irrational numbers are dense (between two irrational numbers we can find another irrational number).

The first option, which has one of each, will then be the right choice.

Pi is irrational, while 3.14 is rational.

Finding an irrational number between these two indicates that the real set contains many irrational numbers.

(Note that the third option likewise has an irrational and a rational number, but the first one, [tex]e^{2}[/tex], is larger than the second one[tex]\sqrt{54}[/tex], thus it is written wrongly; for this reason, we did not choose it.)

To know more about Irrational and rational numbers

https://brainly.com/question/17450097

#SPJ4


Related Questions

49x3x7x1 = show your work

Answers

Answer:

1,029

Step-by-step explanation:

Name each polynomial by degree and number of terms.

-6x^4-2x^2+2

A. quintic binomial
B. quadratic binomial
C. quartic trinomial
D. quartic monomial

Answers

Answer:   C. quartic trinomial

Reason:

It's a quartic because the largest exponent is 4 (so the degree is 4).

It's a trinomial since it has 3 terms.

(05.01)
The graph below shows a system of equations:

The x-coordinate of the solution to the system of equations is

Answers

The x-coordinate of the solution to the system of equations plotted is -2

How to find the x-coordinate of the solution to the system of equations

The x-coordinate of the solution to the system of equations is sought by examining the attached graph

The point where the two lines plotted intersect is the solution. At this point, like any other point in a coordinate system will have x coordinate and y coordinate

The x coordinate is solved by tracing the from the point to the x axis, The value where the imaginary trace line drawn intersects the x coordinate is the solution at the x coordinate

This point has the values of -2 in the x axis

Learn more about graphs at:

https://brainly.com/question/29617852

#SPJ1

a student was marked tardy five different time in a 40 day period. What percent of the times was the student tardy

Answers

Answer:

12.5%

Hope this helps!

Answer:

The percentage of times the students marked will be 12.5%.

Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A student was marked tardy five different times in a 40-day period.

Percentage of 5 among 40 →

(5/40) x 100 = 12.5%

"Cara" opened a savings account and deposited "$800.00" as principal. The account earns 10% interest, compounded annually. What is the balance after 4 years

Answers

320.00 dollars every 4 years

One brand of orange juice is sold in four different sizes. The 8 ounce carton costs $0.99. The 48-ounce carton costs $2.49. The 64-ounce carton costs $3.75. Which size is the Best Buy? Explain how you determine your answer

Answers

To determine which size is the best value, we must find the cost per ounce of each. We can do so by creating rates for each size.

8 ounce size: .99/8 = $.123 per ounce

48-ounce size: 2.49/48 = $.0518 per ounce

64-ounce size: 3.75/64 = $.0585 per ounce

Is there a fourth size mentioned?

Out of the three sizes we have here, the 48-ounce size would be the best value because it has a unit rate of $.0518 per ounce, which is lower than the other sizes.

Btw, I noticed you are low on points. I can put a random question up on my account with 50 points for you if that helps you out.

If two-thirds of a women’s age is 42, how old is she

Answers

Answer: 63

Step-by-step explanation:

You can put this solution on YOUR website! Hi there, 2/3 = 42. Multiply 42 by 3 = 126. Divide 126 by 2 = 63. The lady's age. 63yrs old. Proof: 2/3 x 63

Answer:

63

Step-by-step explanation:

42 / 2 = 21

21 * 3 = 63

If 42 is two thirds, then one third is 21 because (2/3) / 2 = 1/3.

If 21 is one third, then the whole is 63 because (1/3) * 3 = 1.

This year consumers purchased 7,234,267,990 strawberries. Last year consumers purchased 2,000,900,999 strawberries. Which is the best estimate of how many more strawberries were sold this year than last year?

Answers

The estimated value was 9,000,000,000 strawberries sold this year than last year.

As per the given information, the required solution would be as:

We must calculate the most accurate estimate of the number of strawberries sold this year and the previous year.

Rounding up to the closest full number is the best approximation.

This year, 7,234,267,990 strawberries were purchased.

Last year, 2,000,900,999 strawberries were purchased.

Based on the above value, the estimated number of strawberries sold this year and the previous year is:

= 7,000,000,000 + 2,000,000,000

= 9,000,000,000

Thus, the estimated value was 9,000,000,000 strawberries sold this year than last year.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ1

To eliminate a variable in the system, should you add the equations or subtract the equations?
3x - 2y = 17
-3x - 4y = 7

Answers

Answer: You should add the equation

Step-by-step explanation: I see here that you already have perfect 3x and -3x, so the best way is to add them and eliminate the x to find the y first and then put the y back in the equation and solve for the x!

If you can, please give me a Brainliest, I only need one more to become an Ace, thank you!

a set of 15 different integers has a median of 25 and a range of 25. what is the greatest possible integer that could be in this set? 32 37 ...

Answers

The greatest possible integer that could be in this set is 43.

The group of 15 different integers in this instance has a range of 25 and a median of 25. The greatest value that can be entered will be limited by that range.

With a median of 25, we can deduce that 7 numbers fall within the range of 25 and above, and 7 numbers fall within this range.

We must increase the smallest value in order to increase the largest value. Here's how to accomplish it:

18 19 20 21 22 23 24 25

With 18 as the lowest value and a range of 25, 43 would be the highest value.

To learn more about median

brainly.com/question/14532771

#SPJ4

Let g(x)=x²-5 and h(x) = 3x + 2. Find (hog)(x)

Answers

The value of the composite function is (hog)(x) = 3x²- 13.

What is a composition function?

Function composition is an operation used in mathematics that takes two functions, f, and g, and creates a function, h = gof, such that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.

The functions are g(x)=x²-5 and h(x) = 3x + 2

The composition function (hog)(x) can be written as (hog)(x) =h(g(x))

Putting g(x)=x²-5 in (hog)(x) =h(g(x)):

(hog)(x) =h(x²-5)

Now putting x= (x²-5) in h(x) = 3x + 2:

h(x²-5) = 3(x² - 5) + 2

h(x²-5) = 3x² - 15 + 2

h(x²-5) = 3x² - 13

Therefore (hog)(x) = 3x² - 13.

To learn more about composition function, click on the below link:

https://brainly.com/question/4895631

#SPJ1

I need help please i don’t understand

Answers

Understand what exactly

Identify the variation as direct, inverse, joint or combined x/y =c
O joint
O direct
O combined
O inverse
NEXT QUESTION

Answers

I think for x/y=c it would be Direct.

What is the slope of a line perpendicular to the line whose equation is 3x-6y=90. Fully simplify your answer.

Answers

Answer:

the slope is 0.5 or 1/2

Step-by-step explanation:

3x - 6y = 90

-6y = -3x + 90

y = 0.5x + 90

Answer:

slope= 1/2

Step-by-step explanation:

3x-6y=90

rewrite the equation into slope intercept form

y=1/2x-15

subtracting is the same as adding the opposites

y=1/2x+(-15)

since the equation is written in slope intercept form, y=mx+b, identify the slope of the line as the coefficient next to the variable x

y=1/2x+(-15), m=1/2

identify the y intercept of the lines as the constant term

y=1/2x+(-15),m(slope)=1/2,b=-15

Consider AXYZ in the figure below.
The perpendicular bisectors of its sides are TS, US, and VS. They meet at a single point S.
(In other words, S is the circumcenter of AXYZ.)
Suppose VS 80, YZ=86, and ZS=116.
Find XS, UZ, and VY.
Note that the figure is not drawn to scale.
X
T
Z
XS = []
UZ = 0
VY = 0
X
S

Answers

The value of XS = 116, UZ = 43, and VY = 84.

What are perpendicular bisectors?

A line or line segment that divides a given line segment into two equal portions is known as a perpendicular bisector.

Here, we have

Given

The perpendicular bisectors of its sides are TS, US, and VS. They meet at a single point S.

VS 80, YZ=86, and ZS=116 and we have to find XS, UZ, and VY.

TS, US, and VS are perpendicular bisectors

So, XV = VY, YU = UZ, XT = TZ

Then, ΔYST ≅ ΔZST

ΔYSV ≅ ΔXSV

ΔYUS ≅ ΔZUS

So, XS = ZS = 116

UZ = 1/2YZ = 1/2×86 = 43

VY = VX

VX² + VS² = XS²

VX = √XS² -VS²

VX = √116² - 80²

VX = 84

Hence, the value of XS = 116, UZ = 43, and VY = 84.

To learn more about the perpendicular bisectors from the given link

https://brainly.com/question/2878035

#SPJ1

This year's soybean crop of 224000 t represents an increase of 40% over last year's crop. How many tons of soybeans were produced last year?

Answers

well, last year it was "x", which oddly enough is the 100%.

now, this year is 224000 tons, and that's an increase of 40%, so that's really the 100% + 40% = 140%, so if 224000 is the 140%, what's "x"?

[tex]\begin{array}{ccll} tons&\%\\ \cline{1-2} x & 100\\ 224000& 140 \end{array} \implies \cfrac{x}{224000}~~=~~\cfrac{100}{140} \implies \cfrac{ x }{ 224000 } ~~=~~ \cfrac{ 5 }{ 7 } \\\\\\ 7x=(5)(224000)\implies x=\cfrac{(5)(224000)}{7}\implies x=160000[/tex]

How many square inches of gift wrap will be needed to cover a box that is 5in x 7in x 3in?

Answers

Answer:

65 sq.inches

Step-by-step explanation:

To find the total surface area of a box, you need to calculate the area of each of its faces and add them together. In this case, the box has three faces with dimensions 5 inches by 7 inches, and three faces with dimensions 5 inches by 3 inches.

The total surface area of the box is therefore:

(5 * 7) * 2 + (5 * 3) * 2 = 35 + 30 = 65 square inches

This means that you will need 65 square inches of gift wrap to cover the box.

Hope this helps you

Answer: 142 squared inches of gift wrap

Step-by-step explanation:

To find how many square inches of gift wrap you would need, you would use the formula for the surface area of the box (rectangle)

Formula: 2 ( length x width + width x height + height x length ) = Surface Area

Now plug the numbers in from the  given dimensions

2 ( 7 x 5 + 5 x 3 + 3 x 7 ) = Surface Area

Now solve...

2 ( 7 x 5 + 5 x 3 + 3 x 7 ) = 142

Giving you the answer of 142 squared inches of gift wrap

Hope this is correct and helpful! ^^

27. Households consume much more electricity when the weather is warmer. Temperate and electricity is related as stated below. Round answers to the nearest hundredth. Questions: Temperature °F Electricity (KWH) 56 30.8 63 35.4 67 37.7 b) Determine the strength of the correlation coefficient, r. c) Determine the direction of the correlation coefficient, r. 76 a) Find the correlation coefficient round to four decimal places. d) Write the equation that best represents the data. 41.1 79 43.1 e) If the temperature was 90°F, what is the predicted electricity usage? 82 44.8 f) If a household uses 38 KwH of energy, what would be the temperature outside be?​

Answers

Answer:

Step-by-step explanation:

the power house of the midriccondria examples of solutions of the 9+ 10 so the annswer is 11

add -1[tex]\frac{1}{4}[/tex] 0.75 +0.45. Write your answer as a decimal to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

-0.05

Answer: -1/20, or -0.05

Step-by-step explanation:

rewrite -1 1/4 as -5/4

rewrite 0.75 as 75/100 and simplify = 3/4

rewrite 0.45 as 45/100 and simplify = 9/20

-5/4+3/4 = -2/4 = -1/2

-1/2+9/20 find LCD

LCD = 20

-1/2 * 10/10

-10/20+9/20= -1/20

Which expression is equivalent to the following complex fraction? 1 + startfraction 1 over y endfraction divided by 1 minus startfraction 1 over y endfraction.

Answers

On solving the provided question, we got that - question is based on the solving the fraction, so the correct option is [tex]\frac{y+1}{y-1} \\[/tex]  that is  is  equivalent to the given  complex fraction.

What is expression?

Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.

Here the Expression, we have is -

[tex]\frac{ 1 + \frac{1}{y}}{1 - \frac{1}{y} }[/tex]

We must figure out the expression that equals the provided complex fraction.

The answer to the query is

Take the LCM of the numerator and denominator first.

We get,

[tex]\frac{ \frac{y+1}{y}}{\frac{y-1}{y} }[/tex]

[tex]\frac{y+1}{y} X \frac{y}{y-1}[/tex]

[tex]\frac{y+1}{y-1} \\[/tex]

To know more about expressions visit:

https://brainly.com/question/14083225

#SPJ4

the probability that a restaurant passes its health department inspection is 0.94. the owners of 58 restaurants are surveyed to see if their restaurants passed inspection.
For each binomial experiment described, find
A. the mean
B. the variance
C. the standard deviation

Answers

The mean , standard deviation, and the variance of each binomial experiment using given probability and sample of restaurant owners surveyed is equal to 54.52 , 1.808, 3.2712 respectively.

As given in the question,

Let success be defined by health department inspection is passed by restaurant

Probability of success rate 'p' = 0.94

Value of ' 1 - p ' = 1 - 0.94

                       = 0.06

Number of owners of restaurant which are surveyed 'n' = 58

For the given binomial experiments calculation of the following distributions are:

Mean 'μ' = np

            = 58 × 0.94

            = 54.52

Standard deviation 'σ' = √ np (1 - p)

      = √ 58 × 0.94 × 0.06

                                  = √3.2712

                                  = 1.808

Variance 'σ²' =  np( 1 - p )

                   = 58 × 0.94 × 0.06

                  = 3.2712

Therefore, the mean , standard deviation , and the variance from the given probability and sample size is equal to 54.52 , 1.808, 3.2712 respectively.

Learn more about probability visit:

brainly.com/question/11234923

#SPJ4

Which recursive sequence would produce the sequence
10,35,135,...?

Answers

Answer:

10, 35, 135, 410, 1235, ...

Step-by-step explanation:

a(1) = 10

a(n) = 3 * a(n-1) + 5

This recursive sequence starts with the initial value of a(1) = 10, and each subsequent term is calculated by applying the formula a(n) = 3 * a(n-1) + 5. The resulting sequence would be:

a(1) = 10

a(2) = 3 * a(1) + 5 = 3 * 10 + 5 = 35

a(3) = 3 * a(2) + 5 = 3 * 35 + 5 = 135

a(4) = 3 * a(3) + 5 = 3 * 135 + 5 = 410

a(5) = 3 * a(4) + 5 = 3 * 410 + 5 = 1235

And so on. This recursive sequence generates the following sequence: 10, 35, 135, 410, 1235, ...

Solve x2 + 2x + 7 = 0 using the quadratic formula. Select all solutions that apply.

Answers

Solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.

What is the quadratic formula?

Any quadratic problem can be solved using the quadratic formula.

The equation is first changed to have the form ax²+bx+c=0, where a, b, and c are coefficients.

After that, we enter these coefficients into the following formula:

(-b±√(b²-4ac))/(2a)

Quadratic equations can be solved using one of three main strategies: factoring, the quadratic formula, or completing the square.

So, solving x²+2x+7 using the quadratic formula as follows:

Quadratic formula: (-b±√(b²-4ac))/(2a)

Substitute values and caluclate:

x = (-b±√(b²-4ac))/(2a)

x = (-2±√(2²-4(1)(7))/(2*1)

x = (-2±√4-28)/(2)

x = (-2±√-24)/(2)

Complex roots:
x = (-2±2√6i)/(2)

x = -2/2 ± 2√6i/2

Simplifying fractions:
x = -1 ± √6i

So, we have:
x = -1 ± 2.44949i

Therefore, solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.

Know more about the quadratic formula here:

https://brainly.com/question/1214333

#SPJ4

Find zeros of quadratic polynomial
x²+x -20

Answers

Answer:m,m,

Step-by-step explanation:

Answer:

Zeros:

x = -5x = 4

Step-by-step explanation:

Given quadratic polynomial:

[tex]x^2+x -20[/tex]

The zeros of a function f(x) are the x-values that satisfy the equation f(x)=0.  

Therefore, to find the zeros of the given function, set it to zero and solve for x.

Factor the quadratic:

[tex]\implies x^2+x-20=0[/tex]

[tex]\implies x^2+5x-4x-20=0[/tex]

[tex]\implies x(x+5)-4(x+5)=0[/tex]

[tex]\implies (x-4)(x+5)=0[/tex]

[tex]\boxed{\begin{minipage}{8.4 cm}\underline{Zero Product Property}\\\\If $a \cdot b = 0$ then either $a = 0$ or $b = 0$ (or both).\\\end{minipage}}[/tex]

Apply the Zero Product Property:

[tex]\implies x-4=0 \implies x=4[/tex]

[tex]\implies x+5=0 \implies x=-5[/tex]

Therefore, the zeros of the given quadratic polynomial are:

x = -5x = 4

Consider the graph of equation y=mx+b

How does changing the value of m affect the graph of the equation?​

Answers

The value of m is the slope of the graph. If the value of m changes so does the slope.

what are the expected value and standard erro for the sampling distribution of the sample proportion?

Answers

The anticipated value and standard error are 0.75 and 0.0306, respectively.

Explain the term standard error?The population mean's likelihood to differ from a sample mean is indicated by the standard error of a mean, and simply standard error. It reveals how much what the sample mean will change if a study were to be repeated with fresh samples drawn from a single population.

If n is the sample size and p is the genuine population proportion, then the sampling distribution of a sample proportion is thought to adhere to the normal distribution.

np ≥ 10n(1 - p) ≥ 10

As per the given question;

population proportion P = 0.75 size of the sample n = 200

Let P' represents the sample proportion.

Regarding the sample proportion's sampling distribution:

The anticipated value is calculated using,

μp = P

μp = 0.75

As a result, 0.75 is the expected value.

Now, for the standard deviation-

σp = √P(1 -P)/n

σp = √0.75(1 - 0.75)/200

σp = 0.0306

Because the standard error is specified as; the value is 0.0306.

As a result, again for sampling distribution for sample proportion, the anticipated value and standard error are 0.75 and 0.0306, respectively.

To know more about the standard error, here

https://brainly.com/question/475676

#SPJ4

The complete question is-

A random sample of size n = 200 is taken from a population with population proportion P = 0.75. Calculate the expected value and the standard error for the sampling distribution of the sample proportion.

Which model represents a function?

Answers

Model III represents a function by vertical line test.

What is Vertical line test?

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

The vertical line test concludes that a curve in the plane represents the graph of a function if and only if no vertical line intersects it more than once.

According to the given question:

Graph I has vertical line intersections more than one on many points of the curve. Therefore, Graph I does not represents a function.

Model II has two values for the domain point that is -5 has two images 2 and 10. Hence it does not represents a function.

Graph III has only one intersection by vertical lines on the curve. Therefore, Graph III represents a function.

Graph IV has two intersection points if a vertical line passes through the curve. Hence, Graph IV does not represents a function.

To know more about vertical line test visit

https://brainly.com/question/17008719

#SPJ1

What are the solutions of It - 2001 - 50 = 0?
O A. -250 and -150
OB. 40 and 50
O C. -150 and 250
OD. 150 and 250

Answers

Answer:

Step-by-step explanation:

d

Answer:

d

Step-by-stedp explanation:

Question 15 of 25
The table below shows last year's gross income, standard deduction, and
number of exemptions for four different workers.
Gross
Income
Delaney $77,568
Jamie $71,234
Oliver $74,872
Thomas $77,623
Standard
Deduction
$8350
$5700
$8350
$5700
2
1
1
3
Number of Exemptions at
$3650 Each
Assuming that each worker used the standard deduction and that none of the
workers had any additional adjustments, which worker had the lowest taxable
income last year?

Answers

If each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.

What is taxable income?

The taxable income is the difference between a worker's gross income and the total deductions (standard or itemized).

Data and Calculations:

                 Gross Income     Standard       Number of       Taxable

                                            Deduction   Exemptions at     Income

                                                                   $3,650 Each

Delaney          $77,568          $8,350                               $69,218 ($77,568 - $8,350)

Jamie               $71,234         $5,700                               $65,534 ($71,234 - $5,700)

Oliver              $74,872         $8,350                               $66,522 ($74,872 - $8,350)

Thomas          $77,623         $5,700                                $71,923 ($77,623 - $5,700)

Hence, if each worker used the standard deduction and no worker had any additional adjustments, the worker with the lowest taxable income last year was A. Jamie.

To learn more about taxable income visit,

brainly.com/question/2743145

#SPJ1

meal A has 170 calories in 3 servings. Meal B has 160 calories in 4 servings. Which meal has more calories per serving​

Answers

Answer: Meal B

Step-by-step explanation:

Let's find Meal A

170 divided by three = 56.7 Calories per serving

Find Meal B

160 divided by 4 =  60 Calories per serving

Meal B has more Calories per serving!

Other Questions
single-cell atlas of early human brain development highlights heterogeneity of human neuroepithelial cells and early radial glia does wi-fi, cellphone or microwave radiation cause serious damage to our bodies? why or why not? Which BEST explains why it is important to understand the limits of your body?A. So you can set obtainable fitness goals.B. Because everybody will have similar limitations.C. So you can understand that there can be no improvement. D. Because limits are just a mindset that has no place in fitness. True or False: According to research, the loss of free play, where children use their imagination to create their own scenarios, characters, and games may be partially responsible for children's executive function skills today. Mrs. Larsen wants to get some markers for her class. She notices that they come in boxes of 8. Write an equation that shows how the total number of markers mrs. Larsen gets, y, depends on the number of boxes she buys, x. for a standard normal distribution, find: p(z < 0.74) express the probability as a decimal rounded to 4 decimal places. In an absolute monarchy where does the king's power come from?The consent of the governedThe nobilityThe constitutionDivine Right For strongest segregation of duties, a sales representative should never be allowed toA) discuss the company's products.B) negotiate the sales price.C) approve a sale on credit.D) send a customer a gift. during winter in new york, the lower the temperature is the higher the demand for energy. this is an example of 2. What is the meaning of yellow on a hazmat diamond? a. Signifies chemical reactivity hazard b. Signifies flammability hazard c. Signifies nuclear hazard Write an equation of the line that passes through the given points.(7,0),(7,5) 30 is 250% of what number? I will give brainliest! A train leaves the station at time t=0. Traveling at a constant speed, the train travels 440 kilometers in 4 hours. Answer parts a and b. a bomb calorimeter can provide a close approximation for the amount of energy that will be produced by the body through the process of metabolism. Sustantivo correspondiente a rer atender veranear invernar beber profetizar valorar burlarse teorizar on 3 of 10Which of the numbers below are whole numbers? Check all that apply.A. 99.6B. 4538C. 0.7161D. 6E. 207.69F. 773 Natural selection can alter a species in small ways, causing a population to change color or size over the course of several generations, according to The Natural History Museum(opens in new tab). When this process happens over a relatively short period of time and in a species or small group of organisms, scientists call it "microevolution." channel conflict occurred when american airlines decided to terminate its relationship with orbitz and expedia, two online ticketing and travel sites, and sell directly through aa direct connect. this is an example of What is the answer i need answers now I'm am going to failpls explain to result of 2/4+2/3+2+6