Is -6.5555 a rational or irrational number?
Is -2 a rational or irrational number?

Answer: A

Step-by-step explanation:

pretty sure :)

Using the continuity concept, it is found that the function that is continuous at x = 18 is given by:

[tex]f(x) = \frac{(x - 18)^2}{x}[/tex]

A function f(x) is continuous at x = a if it is defined at x = a, and:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

In this problem:

In the fourth function:

[tex]f(18) = 36[/tex]

[tex]\lim_{x \rightarrow 18^-} f(x) = 18^2 \neq 36[/tex]

Hence also not continuous.

You can learn more about the continuity concept at https://brainly.com/question/24637240

Divide each term by −3-3 and simplify.

Inequality Form:

x≥3

Answer:

x≥3

Step-by-step explanation:

Divide both sides by -3.

−3x/ −3 ≤ −9/ −3

x≥3

Answer:

D. relation is a function

hope this helps :-))

Answer:

C = 2pi(r)

= 2pi(5)

≈ 31.416

≈ 31.4

Answer:

Hello! answer: 31.4

Step-by-step explanation:

I'm using 3.14 for pi and

To find circumference you just have to do diameter × pi or radius × 2 × pi since we have the radius we can just do radius × 2 × pi so

5 × 2 × 3.14 = 31.4 so our circumfrence is 31.4 Hope that helps!!

Answer:

Step-by-step explanation:

Answer:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

Step-by-step explanation:

remove parentheses:

[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]

move x to left hand side and y to right hand side and change its sign:

[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]

divide both sides by -5:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

move x to the right hand side and change its sign:

[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]

simplify substraction:

[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]

divide both sides by 7:

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

and we are done!

Answer:21

Step-by-step explanation:

Add them all up

The number of students who collect more than one coin is 12.

A Line plot can be defined as a graph that displays data as points or check marks above a number line, showing the frequency of each value.

Given that, Mr. Petersen counted the number of coins collected by the students in his coin club and prepared the line plot.

We need to find how many students collected more than 1 coin,

Here each X represents a student,

The numbers of mark X above 2 and 3 = 4 and 8

Therefore, total students = 12

Hence, the number of students who collect more than one coin is 12.

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Answer:

-4

-1

2

5

8

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

Coping is very bad habit.... sorry I will not answer your question because ur coping...

Answer:

A. Quadrilateral

B. 360° = 2(82°) + 2( 3x - 1 )°

C. f(x) = ( 3x - 1 )

Step-by-step explanation:

360° = 164° + (6x - 2)°

360° - 164° + 2 = 6x

196° = 6x

x = 196°/6

x = Rationalize(32.33333333333)

Answer:

Given: circle

diameter = 10 cm => radius (R) = 5 cm

Find: measure of angle bounding sector = 11 π sq. cm.

Plan: determine what part of the circle’s total area equals the sector’s area.

Total Area of Circle A = π R^2 = π 5^2 = 25 π sq. cm.

Therefore: Sector Area = 11 π cm^2/25 π cm^2 = 11/25

Since the sector is 11/25 th of the circles area, the sector angle will measure 11/25 th of the circle’s circumference. They are proportional.

C = 2 π R = 2 π (5) = 10 π cm

Sector Arc = measure of sector angle = 11/25 (10 π) =

22π/5 radians

Answer: Sector Arc = 22π/5 Radians

Answer:

1,243.88 units² I think

Step-by-step explanation:

22 x 22 = 484

A = (3.14 x 11²)2 = 759.88

759.88 + 484 = 1,243.88 units²

Answer:

4 hours

Step-by-step explanation:

Distance covered = 30 km

Usual Speed of both = 10km/hr

Justin's speed = 1/2 * 10 = 5km/hr

Ari's speed = 3/2 * 10 = 15 km/hr

Time taken = distance / speed

Justin's time = 30 / 5 = 6 hours

Ari's time = 30 / 15 = 2 hours

Time difference = (6 - 2) = 4 hours

Answer:

10 times

Step-by-step explanation:

9 = units

8 = tens

5 = hundred

4 = thousand

4  = ten thousand

3 = 100 thousand

Number of times 4 in the ten thousands place than the value of the 4 in the thousands = 10,000 / 1000 = 10 times

comparison of the value of 6 to 3

10,000 / 1000 = 10 times

Answer:

d

Step-by-step explanation:

Answer:

9) A. 1 to 2

8) B. 32

Step-by-step explanation:

9) 2 + 4 + 6 = 12 total balls

ratio of golf balls to total is 6:12, which = 1:2

8) 0.75 = 24/x

x = 24(.75) = 32

Answer:

a) 35,  b) 25,  c) 60

Step-by-step explanation:

The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.

Number of boys:  b

Number of girls:  b + 10

Ratio of girls:boys is 7:5, so

[tex]\frac{b+10}{b}=\frac{7}{5}[/tex]

"Cross multiply" to get

[tex]7b=5(b+10)\\7b=5b+50\\2b=50\\b=25[/tex]

There are 25 boys.  There are 10 more girls, so the number of girls is 35, and the total number of students is 60.

That's a packed classroom!

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

7) 20y-8=52

20y=60

y=3

11)2x+17=5x-4

21=7x

x=3

12)2x+7=16-4x

6x=9

x=9/6

x=3/2

x=1.5

14)8y+4=24-2y

10y=20

y=2

15)7-3x=2x+2

5=5x

x=1

16)

[tex] \frac{x - 3}{2} = 5 \\ x - 3 = 10 \\ x = 13[/tex]

Answer:

Step-by-step explanation:

Tienes que multiplicar el seis y el cuatro lo que te multiplicarlo por 3,14y después dividirlo por dos

The sum of interior angle of the given regular hexagon is 720 degree. The area of the hexagon with side of 8 units is 96√3 square units

The sum of interior angle of the given regular hexagon is 720 degrees

The measure of one of the angles is 120 degrees

<ABO = 120/2 = 60 degrees

Since all the angles of triangle ABO are the same, hence AB = 8 units

Determine the area of the hexagon

A = 3√3/2 a²

Substitute a = 8 units

A = 3√3/2 (8)²
A  = 3√3/2 * 64
A = 3√3 * 32

A = 96√3 square units

Hence the area of the hexagon with side of 8 units is 96√3 square units

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Answer:

1.) 7 pins

2.)56 ÷ 8 = 7

3.)Each friend gets 4 pens

4.)(4x3)x2 and 4x(3x2)

5.) 100

Step-by-step explanation:

1.) 70 ÷10= 7

2.)28x 2 = 56

4 x 2= 8

3.)6 x 6 = 36

36 ÷ 9= 4

4.)(4 x 3 )x 2 or 4 x (3 x 2)

5.)187-69 =118

Answer:

1. 9.43

2. 13

3. 5

4. 10.77

Step-by-step explanation:

Answer:

It means that the value of N is 5

Step-by-step explanation:

so if you have X on a picture and on the top it says X = 5 that would indicate that it means it has a value of 5

Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

[tex]m\angle B=\sin ^{-1}(\dfrac{m}{n})[/tex]

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times h[/tex]

Where, b is the base and h is the height of the triangle.

[tex]Area=\dfrac{1}{2}\times a\times h[/tex]

The area of the triangle ABC is D.

[tex]D=\dfrac{1}{2}\times a\times h[/tex]

[tex]2D=ah[/tex]

[tex]\dfrac{2D}{a}=h[/tex]                  ...(i)

In a right angle triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin B =\dfrac{h}{c}[/tex]

[tex]\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}[/tex]              [Using (i)]

[tex]\sin B =\dfrac{2D}{ac}[/tex]

[tex]m\angle B =\sin ^{-1}\dfrac{2D}{ac}[/tex]            ...(ii)

We have,

[tex]m\angle B=\sin ^{-1}(\dfrac{m}{n})[/tex]          ...(iii)

On comparing (ii) and (iii), we get

[tex]m=2D[/tex]

[tex]n=ac[/tex]

Therefore, the required values are [tex]m=2D, n=ac[/tex].

Answer:

|2| and |14|

Step-by-step explanation:

Answer:

if I am not mistaken I think my answer 56