Express the interval using inequality notation.
(-∞, -11] U l-8, ∞)

x = 20+ 3y

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Jame = x

Brittany  = y

x = 20+ 3y

To learn more about linear equations, refer to https://brainly.com/question/26310043

#SPJ9

-14 is the 81th term.

The first step is to determine the relationship between the numbers in the sequence. When examined, it can be seen that the number decline by 1/5.

To confirm : 2 1/5 - 2 = 1/5

The linear equation that can be used to determine the position of a number is:

2 1/5 - 1/5(x)

Where x is the position of the number

For example, the third number is

2 1/5 - 1/5(3)  = 1 4/5

Given the number, the position of the number can be determined using the above linear equation:

-14 = 2 1/5 - 1/5(x)

In order to determine the value of x, take the following steps:

Multiply through by 5

(-14 x 5) = (11/5 x 5) - (x / 5 x 5)

-70 = 11 -x

Combine similar terms: 70 + 11 = x

Add similar terms: x = 81

To learn more about mathematical sequence, please check: https://brainly.com/question/26578277

#SPJ1

Answer:

2/3

Step-by-step explanation:

Step-by-step explanation:

multiply 6x - y = 2 by 3 and subtract the first equation from the second

18x-3y=6 - (-4x+3y=2

3y is cancelled and after the others are subtracted the equation becomes

22x = 4

x = 2/11

Answer:

The value of x = 1/2

The value of y = 1

Step-by-step explanation:

Let's change the equation,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

According to the statement

We have to find that the correct statement about the rotational symmetry for an isosceles triangle.

So, For this purpose, we know that the

Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn.

From the given information:

Then from isosceles triangle,

An isosceles is a triangle that has two sides of equal length.

The isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.

Thus, it also has two equal angles and one non equal angle. Thus,  it does not have all congruent angles.

The order of rotational symmetry of a  figure is the number of times we rotate up to 360° the figure such that it looks exactly the same as the original figure.

When we rotate the isosceles triangle up to 360° , only 1 time it looks exactly same as in the beginning because at each rotation the order of angles changes.

Therefore, The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

Learn more about Rotational symmetry here

https://brainly.com/question/16777781

#SPJ9

Answer: B. An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

Step-by-step explanation: right on edge 2023

Answer:

= −10/81g^2+2/27g

Step-by-step explanation:

---------------

Answer:

5

Step-by-step explanation:

To find a value for y given a value for x, substitute the x-value into the expression

Answer:

Step-by-step explanation:

x + y = 8

Let x = 2

then:

2 + y = 8

y = 8 - 2

y = 6.

This is one integer value for y.

Answer:

[tex]x = \frac r{s + t}[/tex]

Step-by-step explanation:

Hello!

Solve by isolating the variable.

The solution for x is [tex]x = \frac r{s + t}[/tex].

Answer:

Step-by-step explanation:12

Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = [tex]a^{3}[/tex]

Then,

Volume of cube = 1000000 cm

                   [tex]a^{3}[/tex]  = [tex]100^{3}[/tex]

                   a = 100 cm

Hence, Each side of cube is 100 cm.

To learn more about cube from the given link:

https://brainly.com/question/1972490

#SPJ4

Answer:

x = 9/11

Step-by-step explanation:

distribute the 2:

6x - 4 + 5x - 3 + 2

combine like terms:

11x - 7 = 2

add 7 to both sides:

11x = 9

divide by 11 to isolate x:

x = 9/11

Step-by-step explanation:

Distribute 2 to 3x-2

[tex]6x - 4 + 5x - 3 = 2[/tex]

Them combined like terms

[tex]11x - 7 = 2[/tex]

Then add 7 to both sides

[tex]11x = 9[/tex]

Then divide by 11 and get

[tex] \frac{9}{11} [/tex]

Answer:

21

Step-by-step explanation:

1+6=7

7+4=11

11+11=21

Answer:

m=7

Step-by-step explanation:

it's in the picture

the left got cut out but there's a bracket at the end of the first line

Answer:

the equation is y=1/2+0.5

√17 unit is  the components of vector V .

what is components of vector?

A vector quantity has a magnitude and a direction as its two attributes. You must compare both the magnitude and the direction of two vector quantities of the same type.

The initial and terminal points of a vector v  are given by

(6, 3) and (2, 2).

Hence:

The component form of v is

V = ( 2 - 6) ( 2 - 3)

   = (  -4 , -1)

The length of the vector is

l v l = [tex]\sqrt{(-4)^{2} + ( -1)^{2} }[/tex]  = √17 unit

Learn more about components of vector

brainly.com/question/4179238

#SPJ9

Answer:

9

Step-by-step explanation:

So there's 3 1's, 2 2's, 2 3's, 1 4, 2 5's, a 6, a 7, an 8, 2 0's, and no 9's.  

Answer:

p = (7r+16) / (4-q)

Step-by-step explanation:

4p - 7r = pq + 16

Add 7r to both sides.

4p = pq + 16 + 7r

Subtract pq from both sides.

4p - pq = 7r + 16

Factor out p from the left side.

p(4 - q) = 7r + 16

Divide both sides by (4 - q).

p = (7r + 16)/(4 - q)

The 7r and the 16 could be in either order, like 7r+16 or 16+7r. You could show that the answer is a fraction with 7r+16 on top and 4-q on the bottom. If you are writing or on the computer selecting a fraction that is stacked you don't need need the parenthesis.

The Length of perimeter of the shaded shape is; 24 - 8π

Let us first find the rectangle measurements that contains the shaded portions.

Width of rectangle = 2 * 4 = 8

Length of rectangle = 2 + 2 = 4

Perimeter of rectangle = 2(8 + 4) = 24 units

Now, let us find the perimeter of all semi circles and quarter circles that fall into into this rectangle region;

Perimeter of semi circles = πr + πr + πr + πr/2 + πr/2 = 4πr

Perimeter of semi circles inside the rectangle = 4π * 2 = 8π

Thus;

Length of perimeter of shaded shape = 24 - 8π

Read more about Shaded area Perimeter at; https://brainly.com/question/12208883

#SPJ1

The probability that atleast one students is taking a language class is 0.7

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Let :

Spanish = S ; French = F ; German = G

SnFnG = 3

(SnF) only = 9 - 3 = 6

(SnG) only = 5 - 3 = 2

(FnG) only = 5 - 3 = 2

S only = 28 - (6+3+2) = 17

F only = 21 - (2+3+2) = 14

G only = 12 - (6+3+2) = 1

Student not taking any of the classes are;

(100 - (17+14+1+2+2+6+3))

100 - 45 = 55

Atleast 1 is taking a language class out of 2 selected

The probability that atleast one students is taking a language class :

(45/100 * 55/99) + (55/100 * 45/99) + (45/100 * 44/99)

= 0.7

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ4

By critically observing the graph shown above, the set of ordered pairs include the following:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.

By critically observing the graph shown above, we can logically deduce that the set of ordered pairs include the following:

Read more on ordered pairs here: https://brainly.com/question/13432927

#SPJ1

The area enclosed by the ellipse [tex]\frac{x^2}{4}+\frac{y^2}{81}=1[/tex] is 60 square units.

The general form of the equation of ellipse is  [tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Given the equation of ellipse is,  [tex]\frac{x^2}{4}+\frac{y^2}{81}=1[/tex]

⇒ [tex]\frac{x^2}{2^2}+\frac{y^2}{9^2}=1[/tex]

That is, a = 2 and b = 9

Now,  [tex]\frac{y^2}{9^2} = 1 -\frac{x^2}{2^2}[/tex]

⇒ [tex]y=\frac{9}{2} \sqrt{4-x^2}[/tex]

Area enclosed by the ellipse = 4 x Area of ellipse in the first quadrant

Therefore, Area of ellipse in the first quadrant, A = [tex]\int\limits^a_0{\frac{9}{2} \sqrt{4-x^2}} \, dx[/tex]

Using Substitution ,x = 2cosθ, then dx = -2sinθdθ and x = 0⇒ θ = π/2 and x = 2⇒ θ = 0

A = [tex]\int\limits^a_0{\frac{9}{2} \sqrt{4-4cos^2\theta}} \, dx[/tex]

  = [tex]\int\limits^2_0{\frac{9}{2}\times2 \sqrt{1-cos^2\theta}} \, dx[/tex]

  = [tex]\int\limits^2_0{9 sin^2\theta} \, dx[/tex]

 = [tex]\int\limits^0_\frac{\pi}{2} {9 sin^2\theta} (-2sinx)\, d\theta[/tex]

  = [tex]\int\limits^\frac{\pi}{2} _0{18 sin^3\theta} \, d\theta[/tex]

  = [tex]\int\limits^\frac{\pi}{2} _0{18 (\frac{3sin\theta-sin3\theta}{4} )} \, d\theta[/tex]

  = [tex]\frac{9}{2} \int\limits^\frac{\pi}{2} _b {3sin\theta} \, d\theta -\frac{9}{2} \int\limits^\frac{\pi}{2} _0 {sin3\theta} \, d\theta[/tex]

  = 27/2 x (-cosθ) - 9/6 x (-cos3θ) |  θ = 0 to  θ =  π/2

  = 15 square units.

Therefore, the area enclosed by ellipse  [tex]\frac{x^2}{4}+\frac{y^2}{81}=1[/tex] = 4 x A = 4 x 15 = 60 square units.

Learn more about area enclosed by ellipse at https://brainly.com/question/10239788

#SPJ4

Answer:

your answer is xx = (53.80 - 45) / 4

If two hundred liters of a punch that contains 35% fruit juice is mixed with 300 liters of another punch and the resulting fruit punch is 20% fruit juice, then the percent of fruit juice in 300 liters of punch is calculated to be 10%.

The percentage of fruit juice in 300 liters of punch can be calculated by forming a linear equation.

A linear equation also termed a first-degree equation is an equation with one or more variables that have the highest power of one.

A linear equation for this problem can be given as:

the volume of the first punch × percentage of fruit juice in the first punch + the volume of the second punch × percentage of fruit juice in the second punch = total volume × total percentage of fruit juice

Consider x = percentage of unknown fruit juice

Now add the given values in the equation:

200 × 35 + 300(x) = 500 × 20

7000 + 300(x) = 10000

300(x) = 10000 - 7000

300(x) = 3000

x = 3000 / 300

x = 10%

Hence, the percentage of fruit juice in 300 liters of punch is calculated to be 10%.

To learn more about linear equations, click here:

https://brainly.com/question/12788590

#SPJ4

Answer:

50

Step-by-step explanation:

[tex]\frac{x}{5}-9=1 \\ \\ \frac{x}{5}=10 \\ \\ x=50[/tex]

Answer: The cat has left over the milk is 3.625 cups

Step-by-step explanation:

Amount of cups of milk=3(7/8) cups

That means, 3(7/8) cups= 31/8 cups

Amount of milk cat gave=1/4 cups

The amount of left over the milk :

Subtract with this values

=(31/8) -(1/4)

=3.875-0.25

=3.625

The cat has left over the milk is 3.625 cups

Learn about more information https://brainly.in/question/17451921

 #SPJ9

The 80th percentile is 125.37.

It is required to find the solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The weights (in pounds) of seven people:

100, 115, 135, 140, 180, 197, 230.

We have to find the 80th percentile first we have to find the mean of seven people.

Mean=100+ 115+135+140+ 180+197+ 230/7

Mean=156.71

100 percent=156.71

80  percent=156.71*80/100

80  percent=125.37.

Therefore, the 80th percentile is 125.37.

Learn more about percentage here

https://brainly.com/question/28269290

#SPJ4