15. Which statement explains why 30 is considered an irrational number?

A.

When evaluated, 730 results in a repeating decimal, which is considered an

irrational number.

When evaluated, 30 results in a terminating decimal, which is considered an

irrational number.

B.

C.

When evaluated, V30 results in a nonterminating and nonrepeating decimal, which

is considered an irrational number.

D.

When evaluated, 30 results in a whole number, which is considered an irrational

number.

Answers

Answer 1

Consider the given number is [tex]\sqrt{30}[/tex] in question as well as in options.

Given:

[tex]\sqrt{30}[/tex] is considered as an irrational number.

To find:

The reason for given statement.

Solution:

We have,

[tex]\sqrt{30}=5.47722557505...[/tex]

When evaluated, [tex]\sqrt{30}[/tex] results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which  is considered an irrational number.

Therefore, the correct option is C.


Related Questions

what is 2|x – 2| – 12 = 0

Answers

Answer:

fff

Step-by-step explanation:

ffcfgg

2|x – 2| – 12 = 0
2x - 4 - 12 = 0
+ 4. + 4
2x - 12 = 4
+ 12 + 12
2x = 16
————
2. = 2

x = 8, -4

6 liters of soda at $1.39 per liter

Answers

$8.34 6 liters and each liter is 1.39 so 6 x 1.39 = 8.34

Answer:

8.34

Step-by-step explanation:

please help me :((( it’s geometry

Answers

[tex]\tt Step-by-step~explanation:[/tex]

[tex]\tt Area:[/tex]

To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.

[tex]\tt 10*7=70\\70/2=35\\35=A[/tex]

[tex]\tt Perimeter:[/tex]

[tex]\tt Step~1:[/tex]

To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.

[tex]\tt 7^2=49\\10^2=100\\100+49=\sqrt{149}\\\sqrt{149[/tex]

We cannot simplify √149, so we either leave it, or round it.

[tex]\tt \sqrt{149}\\12.2066[/tex]

This is rounded to the nearest 10,000.

[tex]\tt Step~2:[/tex]

Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.

[tex]\tt 10+7+\sqrt{149}=17+\sqrt{149}=P\\Rounded~to~the~nearest~1,000th:~29.207=P[/tex]

[tex]\large\boxed{\tt Our~final~answer: ~A=35,~P=17+\sqrt{149}}[/tex]

Evaluate : -5x+7y^2-z

Answers

Answer:

=7y2−5x−z

Step-by-step explanation:

I need help on these two questions

Answers

Answer:

A) The answer is a to the second power

B) The answer is c to the first power or you can just write c

Step-by-step explanation:

If there are exponents that have the same base and you are dividing, you will need to subtract the exponents.

A)5-3=2

The answer is a to the second power

B) 4-3=1

The answer is c to the first power or you can just write c

Hope this helps!

A: 5-3=2

B:4-3=1

these are the answers hope this helped thanks!

7/10 as a percentage

Answers

Answer:

70 percent. good luck. have a great day

Answer:

70%

Fraction to percent conversion table

Fraction   Percent

6/10             60%

7/10             70%

8/10             80%

9/10             90%

HELP!
Please help me!

Answers

Answer:I think it's C although I might be wrong

Step-by-step explanation:

Answer: B

Hope this helps :)

1. y = log x

Domain:

Range:

Asymptote:

Intercept(s):

End Behavior:

Graph!!!!

Pls help!!

Answers

Answer:

Domain {x : x  > 1}

Range {y : y ∈ R}

Vertical asymptote x = 0

x-intercept (1, 0)

End behavior consistent

Graph attached down

Step-by-step explanation:

Let us study the equation:

∵ y = log(x)

→ It is a logarithmic function, so no negative values for x

Its domain is {x : x  > 1}

Its range is {y : y ∈ R}, where R is the set of the real numbers

→ An asymptote is a line that a curve approaches, but never touches

∵ x can not be zero

It has a vertical asymptote whose equation is x = 0

→ x-intercept means values of x at y = 0, y-intercept means

   values of y at x = 0

∵ x can not be zero

∴ There is no y-intercept

∵ y can be zero

The x-intercept is (1, 0)

→ The end behavior of the parent function is consistent.

   As x approaches infinity, the y-values slowly get larger,

   approaching infinity

∵ y = log(x) is a parent function

The end behavior is consistent

→ The graph is attached down

IS
4
7+
−1
3
RATIONAL OR IRRATIONAL

Answers

Answer:

This will be rational.

Step-by-step explanation:

Keep in mind that a rational number is (of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion.

If g(x) = 3(x - 2), find the value of x if g(x) = 6. (2 points)

Answers

Answer:

4

Step-by-step explanation:

g(x) = 3(x-2)

g(x) = 6

6 = 3(x-2).     3(x-2) = 3x-6

add six to both sides, so the equation would be 12 = 3xdivide both sides by 3, so the equation would be 4 = x

So the final answer is x = 4

please help im so confused

Answers

Answer: 2

The average rate of change of g when t is between -3 and 1 is 2.

3327.50×000005000000000​

Answers

Answer: 1.66375e+13

Step-by-step explanation:

Answer:

1.66375x10^13

Step-by-step explanation:

What is 5x6-7+513x4? YOU MUST SHOW YOUR WORK

Answers

It Is 2075 Because of addition And times so if you calculate it correctly you get 2075

Answer:

2029

Step-by-step explanation:

5 x 6 - 7 + 513 x 4

30 - 7 + 2052

30 - 2059

2029

plssss answer! Your team is renting a photo booth for the 8th grade dance, but you have to buy the photo paper and other supplies separately.
The supplies cost $205 plus 5% tax.
How much will you pay for the supplies?

Answers

Answer:

$215.25

Step-by-step explanation:

The combined mass of a dog and a cat is 24kg. The dog is three times as heavy as the cat. Find the mass

Answers

Answer:

Cat = 6kg

Dog = 18kg

Step-by-step explanation:

Total mass combine = 24 g

dog = 3 x c

cat = c

the cat is 6kg and the dog is 18kg

The mass of the dog and cat are 18 kg and 6 kg respectively

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the mass of the cat be = x

And , mass of dog = 3x

x + 3x = 24

On simplifying the equation , we get

4x = 24

Divide by 4 on both sides , we get

x = 6 kg

So , the mass of cat is 6 kg

And , the mass of dog is 18 kg

Hence , the equations are solved

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HELPPP
I'm stuck on this problem for math

Answers

Answer:

Step-by-step explanation:

Hi there !

3⁻⁶ ₓ (3⁴ : 3⁰)² =

= 3⁻⁶ ₓ (3⁴ ⁻ ⁰)²

= 3⁻⁶ ₓ (3⁴)²

= 3⁻⁶ ₓ 3⁸

= 3⁻⁶⁺⁸

= 3²

use

aⁿ : aᵇ = aⁿ ⁻ ᵇ

(aⁿ)ᵇ = aⁿˣᵇ

aⁿ ₓ aᵇ = aⁿ⁺ᵇ

Good luck !

find the greatest common factor of 14 and 63

Answers

Answer:

7

Step-by-step explanation:

factors of 63-1,3,7,9,21,63

factors of 14-1,2,7,14

Help pls answer all i will give the first person to get them all correct Brainliest !!!


1.) A submarine is 1/5 mile below the ocean surface. The submarine descends another 1/2 mile. What rational number represents the submarines new location after descending?
A.) - 7/10
B.) 2/7
C.) - 2/7
D.) 7/10

2.) A research team aboard an underwear vessel was 4 1/2 feet beneath the surface of the water. The vessel rose 1 2/3 feet. Which rational number represents where the vessel is currently located?
A.) -6 1/6
B.) 6 1/6
C.) -2 5/6
D.) 2 5/6

3.) Ava's Road Paving Company mixed 2 2/3 tons of cement. They used 1 1/5 tons to pave a street downtown. How much cement did they have left?
A.) 3 13/15 tons
B.) 1 7/15 tons
C.) 1 1/5 tons
D.) 1 1/2 tons

Answers

Question 1:

We are going to add.

1/5 + 1/2

2/10 + 5/10

7/10

Note that we are going DOWN so the number will be negative.

Therefore, the answer is A.) -7/10

Question 2:

We are going to subtract.

4 1/2 - 1 2/3

9/2 - 5/3

27/6 - 10/6

17/6 or 2 5/6

Note that we are still BELOW sea level so the number will be negative.

Therefore, the answer is C.) -2 5/6

Question 3:

We are going to subtract.

2 2/3 - 1 1/5

8/3 - 6/5

40/15 - 18/15

22/15 or 1 7/15

Therefore, the answer is B.) 1 7/15

Best of Luck!

The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a
linear function. The amusement park charges an entrance fee of $45.25 per person and a
parking fee of $10 per car. Leah's car has seating for a maximum of 6 people.
What is the range of the function for this situation?
A
B
{1, 2, 3, 4, 5, 6)
{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}
55.25 Sy s 281.50
с
D
1SXS 6

Answers

Answer:

Range of the function is:

{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}

Step-by-step explanation:

Given that:

Seating capacity of the car = 6

Entrance fee per person = $45.25

Parking fee per car = $10

Leah is accompanied by [tex]x[/tex] friends.

So, the total cost can be modeled as the following linear function:

[tex]y=45.25x+10[/tex]

Now, the value of [tex]x[/tex] i.e. number of friends going with Leah can be any of the following:

0, 1, 2, 3, 4 or 5 (because maximum capacity of the car is 6).

Leah is also going.

So, total number of people can be 1, 2, 3, 4, 5 or 6.

Therefore, the table of [tex]x, y[/tex] can be:

[tex]\begin{center}\begin{tabular}{ c c}x & y \\ 1 & 55.25 \\ 2 & 100.50 \\ 3 & 145.75 \\ 4 & 191 \\ 5 & 236.5 \\ 6 & 281.50 \\\end{tabular}\end{center}[/tex]

Here, the value of [tex]y[/tex] is nothing but the range of the function.

Therefore, the range of the linear function is:

{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}

Steven went to an arcade for his brothers birthday. His parents gave him $45.00 to spend. He purchased $14.75 in food and drinks, and put the rest of the money on a gaming card to spend at the arcade. Each game in the arcade cost $1.50.

Part A: Write a linear inequality to represent how many games, , Steven can play in the arcade.
Part B: What is the maximum number of games that Steven can play in the arcade?

Answers

Answer:

20 games

Step-by-step explanation:

Part A:

45 = 14.75 + 1.50g

Part B:

45 - 14.75 = 30.25

30.25/1.5 = 20.1666666666667

20 is the maximum number of games he can play.

What are the values of x and y. In the given figure?

Answers

Answer:

y= 52, x = 5

Step-by-step explanation:

since A = 52 degrees its the same on the otherside

so y= 52

to work out x:

(14x + 6) + 52 + 52 = 180 (sum of all angles in a triangle)

(14x + 6 ) + 104 = 180

14x +6 = 76

14x = 70

x = 5

You use which of the following methods to solve a logic puzzle?

Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.

Logic puzzles use grids that require you to have an extensive mathematical knowledge to solve.

Logic puzzles use grids that require you to have additional knowledge than what is presented to you in the clues provided.

Logic puzzles use grids to help you make eliminations based on making assumptions of the clues provided.

Answers

Answer:

Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.

We can use the method to solve a logic puzzle is;

''Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.''

Here,

We have to find a method to solve the logic puzzle.

What is Logic puzzle?

A problem that can be solved through the deductive reasoning is called Logic puzzle.

Now,

To solve a logic puzzle we can use grids which help to make eliminations based on deciphering in providing the truth in the clues.

Hence,

We can use the method to solve a logic puzzle is;

⇒ 'Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.'

Learn more about the logic puzzle visit:

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Which list shows the following numbers in order from least to greatest?
26
37
6
-5.17,
33
5

Answers

Answer:

-5.17 , 5 , 6 , 26 , 33 , 37

Step-by-step explanation:

the negative numbers are usually the least . All u had to do was put the other numbers from least to greatest <3

- Mark me brainliest !

Answer:

- 5.17

5

6

26

33

37

hope this helps :)

What is 1/3d + 10 = 3/5d and please solve it step by step showing work.

Answers

Answer: x = 75/2

Step-by-step explanation:

First, separate the 1/3d and 10 by subtracting 1/3d to the right side so the equation is now: 10 = 3/5d - 1/3d

Next, Make the two fractions have a common denominator: (3/5 = 9/15) and (-1/3 = -5/15) and solve to get 4/15x

Then, your equation should be 10= 4/15x

So now multiply the 10 by 4/15's reciprocal (15/4) to get the variable x by itself: 10 × 15/4 or

(10×15) / (4×1) to get x = 150/4 now simplify

4 can go into 150 twice so the simplified answer is 75/2 or 37.5 in decimal form

Which of the following is not equivalent to the formula for angular velocity, v = wr? (5 points) vw = r v over w = r v over w r = 1 v over r = w

Answers

Answer: vw=r

Step-by-step explanation:

Got it right on the test

Triangle QRS has been rotated 90° to create triangle TVU. Using the image below, prove that lines RS and VU have the opposite and reciprocal slopes.

Answers

Answer:

If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.

As a verification, we find the locations of V and U from rotations of R & S.

(actually, the triangle had been rotated -90&deg;, 90 &deg; clockwise)

Step-by-step explanation:

Slope RS, m1:

Slope VU, m2

Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected

The lines RS and VU have the opposite and reciprocal slopes because                               Slope of QRS is 1, where as Slope of TVU is -1

What is slope of a triangle?

Slope of a triangle represents the angle that are formed between positve X-axis moving anticlockwise towards y-axis.

The slope of  triangle QRS,

RQ=3

SQ=3

 slope (Tan∅)=[tex]\frac{perpendicular}{base}[/tex]

                       =RQ/SQ

                        =3/3 =1

           TanФ=45°

The slope of triangle TUV,

UT=3

VT=-3

 slope (Tan∅)=[tex]\frac{perpendicular}{base}[/tex]

                       =UT/VT

                        =3/-3 =-1

           TanФ=135°

Slope of QRS is 1, where as

Slope of TVU is -1

∴ RS and VU have the opposite and reciprocal slopes.

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(a-8b) if a=-3 and b=1/4​

Answers

Answer:

-5

Step-by-step explanation:

-3-2=-5

Simplify:(4x2 - 2x) - (-5x2 - 8x)

Answers

Answer:

24x

Step-by-step explanation:

Calculate the product

8 and 10

(8x-2x)-(-10x-8x)

Collect like terms

(6x)-(-18x)

Remove any unnecessary parentheses

6x-(-18x)

When there is a - in front of an expression in parentheses, change the sign of each term in the expression

6x+18x

Collect like terms

24x

Answer = 24x

4x^2-13x+10 x method



Answers

Answer:

4x2 − 3x = 0

Factorization:

x(4x − 3) = 0

Solutions based on factorization:

x = 0   ⇒   x1 = 0

4x − 3 = 0   ⇒   x2 = 34 = 0.75

hope this helps if wrong sorry

Step-by-step explanation:

Answer:

Hello why you thank me I have not given answer

In complete sentences explain how you would simplify √8/2.

Answers

Answer:

To find the square root of any number you must see what the number that you are trying to find the square of then you look at it and think what number times itself equals this number that you are trying to find the square root of the you solve it...

But in this case you have to divide 8 by 2 then find the square root of 4 which is 2

So there is your answer, Hope this helps:)

Step-by-step explanation:

Well, the answer is 2.

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