Mai's younger brother tells her that 10/7 equal to 2‾√ 2 2‾√ 2 . Mai knows this can't be right, because 10/7 is rational and 2‾√ 2 2‾√ 2 is irrational. Write an explanation that Mai could use to convince her brother that 10/7 cannot be the square root of 2.

Answers

Answer 1

Answer:

The number 10/7 is a rational number, which means it can be expressed as a fraction. Also, if we divide it would give a decimal infinite periodical number, which means it has a pattern on its decimal numbers.

On the other hand, the square root of 2 is irrational number, that means it can't be expressed as a fraction, because its decimal numbers don't have any pattern at all.

So, Mai's brother can see these type of numbers as crazy (irrational numbers) and sane (rational numbers).

At last, another important characteristic to shows that they aren't equal is that they don't have the exactly decimal numbers.


Related Questions

What is the volume of this rectangular prism?

Answers

Answer:

[tex] \frac{1}{2} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

1/2cm to the third power

someone pls help this is due today

Answers

Answer: 0.44mm

Step-by-step explanation:

In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.

V=πr²h

25120=πr²h

The problem also gives the diameter of the case: 40mm.

To find radius, you divide the diameter in half.

d=2r

40=2r

r=20

With the radius, we can add that to the volume equation.

25120=[tex]\pi[/tex](20)^2h

25120=400πh

All we have left is to find the height.

h=25120/(400π)

h≈20mm

Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.

20mm/50 chips=0.4mm/chip.

Hey, can anyone help me? My math question is: "What sort of information can you get from conditional frequencies that you couldn't get by just looking at the relative frequencies?"

Thanks :)

Answers

Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.

Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.

Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.

Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.

. You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 5 years and the total interest earned after 3 years is $24. What is the annual interest rate?

Answers

Answer:

The answer is .007874989

Step-by-step explanation:


Determine which ordered pairs are also in the relation where the rise is -2, the run is
3, and (6,2) lies on the line.

a) (-9, -12) and (-6, 2)
b) (-3, 4) and (3,8)
c) (0,9) and (-2, 12)
d) (9,0) and (12, -2)

Answers

Answer:

idk

Step-by-step explanation:

idk :)

The ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

The Rise and Run of a LineThe rise of a line is the change in the y-values.The run of a line is the change in the x-values.

The rise of the ordered pair, (9,0) and (12, -2):

Rise = change in y =  -2 - 0 = -2.

The run of the ordered pair, (9,0) and (12, -2):

Run = change in x = 12 - 9 = 3.

Therefore, the ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

Learn more about rise and run of a line on:

https://brainly.com/question/14043850

.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?

Answers

Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]

2. Area for wheat

[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]

3.Area for olive trees

[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form

Answers

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4

In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.

Answers

Answer:

6:5

Step-by-step explanation

boys : girls

= 18 : 15

Now time to simplify:

18/3: 15/3

= 6:5

The table gives the mass of liquids with a volume of 5 cm3. A 2-column table with 4 rows. Column 1 is labeled liquid with entries water, glycerin, milk, olive oil. Column 2 is labeled Mass (grams) with entries 5, 6.3, 5.15, 4.9. Density is the ratio of mass to volume. Density = mass volume What is the density of milk? Use the drop-down menu to complete the statement. The density of milk is StartFraction grams Over centimeters cubed EndFraction.

Answers

The answer would be 1.03! hopes this helps!

Answer:

1.03

Step-by-step explanation:

i did the assignment on edg 2020/2021

The sound of thunder from a bolt of lightning was heard 2.6 seconds after the lightning hit,from 895 meter away.What was the speed of sound to the nearest tenth of a meter of a meter per person

Answers

Answer:

344.2m/s

Step-by-step explanation:

The parameters given are:

Distance=895meter

Time=2.6seconds

Therefore the speed of sound is:

Speed of sound= distance/time taken

= 895/2.6

=344.23

=344.2m/s ( to the nearest tenth)

Answer:

d 344.2 meters per second

Step-by-step explanation:

edge 2021

Hi so i am writing a movie but i need ideas

Answers

A coming of age story about two childhood best friends who grow apart
You can write about many interesting things. For example, you can write about your life or make up characters.

I hope this helps you!!!!

The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?

Answers

answer:  

82.0476 i think

Step-by-step explanation:

Answer:

82.04 dollars

i hope this was helpful

Step-by-step explanation:

Solve for the missing side

Answers

Answer:

c

Step-by-step explanation:

Picture attachment below

Answers

Answer:

$4.50 for 9 cans

Step-by-step explanation:

If you spun the spinner 1 time, what is the probability it would land on a white piece?

Answers

Answer:

4/7

Step-by-step explanation:

Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7

[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work

Answers

Answer:

Step-by-step explanation:

[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]

[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]

[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]

[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]

[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]

[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]

[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]

x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]

x =  [tex]\sqrt[3]{8^{5}}[/tex] -2

I Will pick brainless answer! A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama used to make the cookies?

Answers

Answer:

d: 1/2

Step-by-step explanation:

Answer:D. 1/2 c

Step-by-step explanation:A recipe is 100% and 3/4 is 75%. 75% of 2/3 is 1/2.

May someone please help me

Answers

hi buddy i can help you with this

Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?

Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20

Answers

The total finance charge over the course of his loan is $2071.20.

It is required to find the total finance charge.

What is simple & compound interest?

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given that:

Loan= $15,000

The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.

The sum of those 48 payments is ...

=48 × $23.71 =

 =$1138.08

That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.

so his total finance charge will be

= 15 × $138.08

= $2071.20

Therefore, the total finance charge over the course of his loan is $2071.20.

Learn more about simple & compound interest here:

https://brainly.com/question/16666364

#SPJ5

Answer:

D.

$2,071.20

Step-by-step explanation:

Find the equation of the line shown.
HELP PLEASEEE

Answers

Answer:

y = x+6

Step-by-step explanation:

The y intercept is 6  ( where it crosses the y axis)

We need to find the slope

For each y unit it goes up, it goes to the right 1 x unit

m = 1/1 = 1

We can use the slope intercept form of the equation

y = mx+b  where m is the slope and b is the y intercept

y = 1x+6

y = x+6

I really need help with this :((

Answers

Answer:

Step-by-step explanation

The two other forms are written form and expanded from. That first blank is for written from and the answer is four and eight-hundred twenty-sixth thousandths. For the other ones i think for the first blank it is 4 then 8 then 20 and then 6.

20 is what percent of 60

Answers

Answer:

30%

Step-by-step explanation:

Answer:

33.333333333333%

Step-by-step explanation:

easy geometric shapes question #6 help please!

Answers

Answer:

it will gemetry and get 15

Quadrilateral ABCD​ is inscribed in this circle.




What is the measure of angle C?
Please Help!!!

Answers

Answer:

C=62 maybe

Step-by-step explanation:

3x=x+20

-x    -x

2x=20

divide by 2

x=10

2*10=20+38=58

10+20=30

3*10=30

30+30=60+58=118

180-118=62

3(5x – 10) < 30x solve for x

Answers

Answer:

x>-1.25

Step-by-step explanation:

3(5x-10)<30x

15x-20<30x

-20<15x

-20/15<x

-1.25<x

x>-1.25

Step-by-step explanation:

Step 1:  Distribute

[tex]3(5x - 10) < 30x[/tex]

[tex](3 * 5x) + (3 * -10) < 30x[/tex]

[tex]15x - 30 < 30x[/tex]

Step 2:  Subtract 15x from both sides

[tex]15x - 15x - 30 < 30x - 15x[/tex]

[tex]-30 < 15x[/tex]

Step 3:  Divide both sides by 15

[tex]-30 / 15 < 15x / 15[/tex]

[tex]-2 < x[/tex]

Answer:  [tex]x > -2[/tex]

About how many times greater is the volume of the cylinder than the volume of the cone?

Answers

Your answer is 3 times larger.

The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.

We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h

I hope this helps!

Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?

35 inches


47 inches


50 inches


43 inches

will mark brainliest

Answers

Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

Find the standard form of the equation of the parabola with a focus at (0, 6) and a directrix at y = -6.


A) y equals 1 divided by 24 x squared

B) y2 = 6x

C) y2 = 24x

D) y equals 1 divided by 6 x squared

Answers

Answer:

None of the options represent the right answer. (Real answer: [tex]y = 24\cdot x^{2}[/tex])

Step-by-step explanation:

The parabola shown above is vertical and least distance between focus and directrix is equal to [tex]2\cdot p[/tex]. Then, the value of p is determined with the help of the Pythagorean Theorem:

[tex]2\cdot p = \sqrt{(0-0)^{2}+[6-(-6)]^{2}}[/tex]

[tex]2\cdot p = 12[/tex]

[tex]p = 6[/tex]

The general equation of a parabola centered at (h,k) is:

[tex]y-k = 4\cdot p \cdot (x-h)^{2}[/tex]

It is evident that parabola is centered at origin. Hence, the equation of the parabola in standard form is:

[tex]y = 24\cdot x^{2}[/tex]

None of the options represent the right answer.

Answer:

  y equals 1 divided by 24 x squared  

Step-by-step explanation:

Just took the test

someone lmk plzzz tyy

Answers

Answer:

y-1 = -(x-2)

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

   = (5-1)/(-2 -2)

    = 4/-4

   = -1

We are using point slope form using the point (2,1)

y-y1 = m(x-x-1)

y-1 = -1(x-2)

y-1 = -(x-2)

Which expression is equivalent to mn+z

Answers

Is an ecuation with out solution it stays same
Other Questions
What technological breakthrough event did Brahms take part in? Find the length of DF Match each subject-verb agreement rule with an example of its use.sentence beginning with theresingular noun ending in scollective nounsingular noun with two partsphrase between subject and verb Please help ASAP will mark brainliest Calebs puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarians office, what is the percent increase in the puppys weight rounded to the nearest whole number? Enter your answer in the box. The owner of a car wash combines x gallons of a 2% liquid soap and 98% water mix with y gallons of a 7% liquid soap and 93% water mix to make 500 gallons of a 5% liquid soap and 95% water mix. Write a system of linear equations that represent the situation. When using the lens equation, a negative value as the solution for d baseline i indicates that the image isA. realB. virtualC. uprightD. inverted 1pt Which of the following life processes is not necessary for an individual organism to survive, but is necessary for the survival of the species?A. digestionB. respirationC. regulationD. reproduction What is the meaning of life a.Frank LucasDale Chihulywas a well-known architect of the Arts and Crafts Movement.C. David Chipperfieldd. Frank Lloyd Wrightb.Please select the best answer from the choices providedAD What is the value of x in the equation 3-2x=-1.5x?-6 Identify the disorders described. immune system overreacts to an antigen part of the immune system does not function properly the body's immune system attacks its healthy cells, mistaking them for pathogens masses of cells form and steal nutrients from healthy cells which species is the banana most closely related to?lemononionradishseaweed Alternate forms of a gene having the same position on a pair of chromosomes and affecting the same traitare called ______. A) phenotypes B) allelesC) DNAD) mutations E) genotypes What makes a third or fourth wave of feminism different from the first two? Um so can anyone answer why France and Spain help the Americans fight the British.Please A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85 to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds? Two identical light bulbs are connected to a battery in a series circuit.An ammeter is wired into the circuit at measures a current of thebattery to be 0.5 Amps. The two light bulbs are then wired in parallel.The ammeter shows that the current: Which expression is equivalent to 105 In conceptual art, theis more important than the finished product