[tex]\mathrm {Is}[/tex] [tex]\sqrt[]{103}[/tex] [tex]\mathrm {irrational/rational?}[/tex]

Answers

Answer 1
Answer: Irrational

We cannot write [tex]\sqrt{103}[/tex] as a ratio of integers, so that's why it's irrational.

Note that [tex]\sqrt{103} \approx 10.1488915650922[/tex]

The decimal digits go on forever without any pattern. If the digits repeated themselves, then we would have a rational number.

A quick way to tell if it is rational or not, without using a calculator, is to note that 103 is not a perfect square. The list of perfect squares are:

1,4,9,16,25,36,49,64,81,100,121,...

we see that 100 is the closest perfect square, but 103 is not in that list. Each perfect square is of the form x^2, where x is some positive whole number.

Answer 2

Answer:

Yes this is irrational like the guy above me said you cannot write it as a ratio, of integer since rational numbers are:

A rational number is any integer,

fraction,

terminating decimal,

or repeating decimal.

So its Not Rational


Related Questions

Helppp needed ( answer quickly)

Answers

Answer:

C. 57

Step-by-step explanation:

all triangles add up to 180. the tick marks show that ∠D and ∠ E are congruent so you do this and solve for x:

(4x + 1) + (4x + 1) + (5x - 4) = 180

13x - 2 = 180

13x = 182

x = 182/13

x = 14

4(14) + 1 = 57

3х2 — 3 — 4
Factor completely

Answers

Answer:

It’s A

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

james determined that these two expressions were equivalent expressions using the values of x=4 and x=6 which statements are true? Check all that apply.​

Answers

Answer: I got 1, 4, and 7

brainlist plz:)

Step-by-step explanation:

Let u = 4 at an angle of 210° and v = 9 at an angle of 315º, and w = u - v. What is the magnitude and direction
angle of w?

w = 5.5; theta = 156.1°
w = 5.5; theta = 203.9°
w = 10.8; theta = 156.1°
w = 10.8; theta = 203.9°

Answers

Answer:

C. |w| = 10.8; θ = 156.1°

Step-by-step explanation:

The magnitude and direction is |w| = 10.8; θ = 156.1°

What is vector?

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.

given:

|u| = 4, angle = 210

|v| = 9, angle = 315

So,

R = √u² + v² + 2uv cos θ

R= √16 + 81+ 19.75

R= √116.75

R= 10.8

Now, direction

θ = 156.1°

Learn more about this concept here:

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In 7 hours of driving, Vince travelled 364 kilometers. If he travels at the same rate, what distance will he travel in 12 hours? kilometers

Answers

Answer:

 52 times 12 = 624

Step-by-step explanation:

364 divided 7 = 52

52 times 12 = 624

HELP PLEASE! GIVE ALL ANSWERS AND I WILL GIVE BRAINIEST

Answers

Answer:

1-55.2

2-5.13

3-67.2

4-31.16

5-17.37

6-256.2

7-41.18

8-22.78

9-24.2

10-The length of her bracelet would be 34.2 cm.

11-In a 6-day week, most mail carriers walk 28.8 kilometers.

Step-by-step explanation:

Can someone help me solve for x

Answers

Answer:

x=58 degrees

Step-by-step explanation:

A line is 180 degrees. So x+90+32=180. 32+90=122. Now you do 180-122 and you will get 58.

Solve using the quadratic formula
x²+3x=5

show work to please!!​

Answers

I used m a t h w a y-buh just write the equation and round the answer to whatever your teacher wants.

The function g(t) = -16t2 + vt + h represents the height of an object, g, in
feet above the ground in relation to the time, t, in seconds, since the object
was thrown into the air with an initial velocity of v feet per second at an
initial height of h feet.

A model rocket is launched off the ground at an initial velocity of 80 feet per
second.


Write a function that can be used to describe the flight of the
model rocket.

Answers

The function that can be used to describe the flight of the model rocket is g(t) = -16t² + 80t

What is an equation?

An equation is an expression used to show the relationship between two or more variables and numbers.

Given the equation:

g(t) = -16t² + vt + h

Where g is the height of the object above the ground at t seconds and v is the initial velocity with h as the initial height.

Since the  initial velocity of 80 feet per second, v = 80 and launched from ground level, h = 0, hence:

g(t) = -16t² + 80t + 0 = -16t² + 80t

The function that can be used to describe the flight of the model rocket is g(t) = -16t² + 80t

Find out more on equation at: https://brainly.com/question/2972832

HELP FAST PLEASE
Cynthia's mom gave her $20.00 to spend at her friends birthday party on friday night. Write an inequality that represants the number of games, g, Cynthia can bowl including shoe rental to remain within her budget.
Price: $4.95 per game
Shoe rental: $4.25

Answers

Answer:

G ≥ 3.70

Step-by-step explanation:

4.95g + 4.25 ≤ 20.00

reverse the symbol + to subtraction

subtract 4.25 from 20.00

you get 15.75 so next thing you do is divide soo 15.75÷4.25

and your answer is 3.70 or 3.7  

The inequality that represents the number of games, g is G ≥ 3.70

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality.

We have been given that Cynthia's mom gave her $20.00 to spend at her friend's birthday party on Friday night.

Then the inequality that represents the number of games, g is;

4.95g + 4.25 ≤ 20.00

Now subtract 4.25 from 20.00

4.95g ≤ 20.00 - 4.25

Then divide 4.95;

g ≤ 15.75/4.95

g =  3.70 or 3.7  

Hence, the inequality that represents the number of games, g is g =  3.70.

Learn more about inequalities here:

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HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

you would only get to buy 3 rabbits which would equal to $45.75 before the discount. after the discount it would total to $40.75. you cannot buy 4 or more rabbits because it would go over the limit even after the discount.

Answer:

2 bunnies

Step-by-step explanation:

The temperature in Minsk was recorded over a period of four hours. The equation y= -5x + 54 describe the temperature over this time, where y is the temperature in degrees Fahrenheit and x is the number of hours since measurements started. Which of the following statements correctly describe the temperature?
A.) it was -5 degrees Fahrenheit after 4 hours, and it is rising by 54 degrees per hour
B.) It was 54 degrees Fahrenheit after 4 hours, and it is dropping by 5 degrees per hour
C.) it was -5 degrees Fahrenheit when the temperature was first measured, and is rising by 54 degrees per hour
D.) it was 54 degrees Fahrenheit when the temperature was first measured, and it is dropping by 5 degrees per hour

Answers

Answer:

D

Step-by-step explanation:

I took the test

It was 54 degrees Fahrenheit when the temperature was first measured, and it is dropping by 5 degrees per hour. The correct option is D.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

The temperature in Minsk was recorded over a period of four hours.

The equation y= -5x + 54 describe the temperature over this time, where y is the temperature in degrees Fahrenheit and x is the number of hours since measurements started.

When time first measured,

x = 0,

Then y= 54.

And it is dropping by 5 degrees per hour.

Therefore, When time first measured, x = 0, Then y= 54.

And it is dropping by 5 degrees per hour.

To learn more about the linear equation;

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HELP PLS !!!!!!!!!!

Answers

Answer: The equation of the line is y=-3/4x+1/4

Step-by-step explanation:

In order to find the equation of a line you can use the following form

y-y0=m(x-x0)

M in this case is our slope

For the line in this problem we know that our slope or m is = -3/4ths

While (x0,y0) = (-5,4)ths or the cordinates of the point

From here we subsitute the previous numbers into the equation

y - 4= -3/4ths (x-(-5))

Simply rearange the equation and you get the answer

What is the quotient of the following division problem? 17374 ÷ 448 = ?
A. 40 r349
B. 38 r350
C. 38 r351
D. 37 r350​

Answers

B - 38 r350.
To check 448 x 38 =17,024 + 350 =17,374

6x + y = 5, slope intercept form.

Answers

6x + y = 5
Subtract the 6x
y = -6x + 5
And that’s all :) hope it helps
slope intercept form is y= mx+ b so your answer is

y=-6x+5

Are the events "choosing a black card" from a deck of playing cards and
"choosing a 10" mutually exclusive? Explain why or why not.

Answers

Answer:

yes

Step-by-step explanation:

just yes

Answer:

No

Step-by-step explanation:

There are two black 10’s

podrías platicar sobre algún cuento de terror❓❓❓por favor ​

Answers

Answer:can this be interpreted in English

Step-by-step explanation:

No tengo un cuento de terror

Which of the following best describes a tectonic plate?
A.Underground tunnels for water to travel.
B.Fragments of the Earth's crust that float on the Earth's mantle.
C.Areas in the mantle that flow.
D.Mounds of volcanic lava that form cone shaped features on the Earth's surface.

Answers

Answer:

B

Step-by-step explanation:  Plates at our planet's surface move because of the intense heat in the Earth's core that causes molten rock in the mantle layer to move. It moves in a pattern called a convection cell that forms when warm material rises, cools, and eventually sink down. As the cooled material sinks down, it is warmed and rises again.

B Fragments of the Earths Crust that float on the Earths Mantle

multiply (x-4)(x^2+5x+6).

Answers

Answer:

it's B

Step-by-step explanation:

your going to simplify x^{2}x+5xx+6x-4x^{2}-4\cdot5x-4\cdot6

What is the sum of 3(x + 3) and -2(x - 5)?
A. x - 2
B. x - 1
C. x + 8
D. x + 19

Answers

Answer:

D. x + 19

is the sum of 3(x + 3) and -2(x - 5).

Step-by-step explanation:

3(x + 3) + -2(x - 5)

= 3x + 9 + -2x + 10

= 3x + 9 - 2x + 10

= (3x - 2x) + (9 + 10)

= x + 19

Michel earn $9 per hour.He works 28 $each week how much does he earn in 6 weeks?

Answers

Answer:

$1512

Step-by-step explanation:

you take the amount per hour times the amount of hours per week,which would be$252,than you multiply that by the amount of weeks worked,6,and that will give you $1512,hope this helps!:)

Answer: 168

Step-by-step explanation:

If Michel earns 28$ each week, you would multiply 28x6, which would equal 168.

Which fraction converts to a terminating decimal number? А. 1/6 B. 2/9 C. 3/8 D. 4/7 ​

Answers

B.
..................

Answer:

c

Step-by-step explanation:

just trust me on this one bud

Find the slope of the line passes through the points (2,3) and (2,5)

Answers

Answer:

2

Step-by-step explanation:

Slope formula= y2-y1/x2-x1

(2,3)=(x1,y1)    (2,5)=(x2,y2)

5-3/2-2=

2/0=

2

Hope this helps:)

PPPPPPLLLLLS HEllllPP me my assignments due tomorrow :/ The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 5. If there were 7448 total votes, how many yes votes were there?

Answers

Answer:

4468.8

Step-by-step explanation:

3/5*7448

4468.8

-10. represents 10 seconds before the runner finish his first lab 10 represents 10 seconds after the runners finish his first lab what does zero represent in this situation

Answers

Answer:

B

Step-by-step explanation:

If -10 is 10 seconds before he finishes his first lap, and 10 is 10 seconds after he finishes his first lap, whats in the middle of that?! 0 of course, so thats when he finishes his first lap.

Answer:

The answer is B

Step-by-step explanation:

Y= 1/3 x + 2
Y= -3x^2-5x-4



Solve the system by graphing. Can someone help with graphing the second one?

Answers

Answer: I can help you to solve by graphing the second one, the 2 answers are 1. Slope: 1/3, x-intercept: (–6, 0), and y-intercept: (0, 2). And 2. X-intercept: (–3, –2, –5/6, 0, 1) and Y-intercept: (–16, –6, –23/12, –4, –12)

Step-by-step explanation:

pls help me so I dont oof

Answers

Ok what do you need hlep with lol

Answer:

If you add a question, i will answer your question.

use absolute value to show which was buried father from the surface

Answers

Answer:

A is the answer

DESPERATE PLZ HELP NOW

find a slope of the two numbers (-4,-5) (2,10)

Answers

Answer:

The slope is 2.5

Step-by-step explanation:

y = 2.5x + 5   or

y =   5/2x + 5

When x=0, y = 5

When y=0, x = -2

Answer:

slope  = 5/2

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

Step-by-step explanation:

(x₁ ,y₁) = (-4 , -5)    & (x₂, y₂) = (2 , 10)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\frac{10-[-5]}{2-[-4]}\\\\=\frac{10+5}{2+4}\\\\=\frac{15}{6}\\\\=\frac{5}{2}\\\\= 2.5[/tex]

m = 5/2 ;  (-4 , -5)

Equation: y - y1 = m(x -x1)

                [tex]y - [-5] = \frac{5}{2}*(x - [-4])\\\\y + 5 = \frac{5}{2}(x + 4)\\\\y + 5 =\frac{5}{2}x + \frac{5}{2}*4\\\\y + 5 = \frac{5}{2}x + 5*2\\\\y + 5 = \frac{5}{2}x + 10\\\\ y = \frac{5}{2}x + 10 - 5\\\\ y = \frac{5}{2}x + 5[/tex]

Please help me what is this answer ad the work thanks

Answers

-5t^2/121

I need 20 characters so ya

Answer:

-9/22t

Step-by-step explanation:

since the denominators (22) and the variable are the same, you can pretend as if you are only solving -4 - 5

-4 minus 5 is making the number go farther left from the zero on the number line

so the number itself is getting bigger, but the sign will stay negative

if you move five left from -4 on a number line you get -9

so now you can add the denominator to your answer: -9/22 t

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