Which set(s) of numbers does -2 belong?

Choose all that apply.

Group of answer choices

Irrational

Real number

Rational number

The closure of set a) includes the boundary, unit circle, and origin; the closure of set b) includes the boundary, line segments, origin, and closed disk; the closure of set c) includes the boundary and origin; the closure of set d) includes the boundary, imaginary axis, origin, and closed half-plane to the right of the imaginary axis.

a) The closure of the set {-pi < arg(z) < pi, z ≠ 0} includes all points on the boundary of this region. This boundary consists of the real axis (where arg(z) = 0), the imaginary axis (where arg(z) = ±pi/2), and the unit circle centered at the origin (where |z| = 1). The closure of the set also includes the point at the origin, since this is a limit point of the set.

b) The closure of the set {|Re(z)| < |z| ≤ 1/2} includes all points on the boundary of this region. This boundary consists of the unit circle centered at the origin (where |z| = 1/2) and the line segments connecting this circle to the x-axis (where |z| = |Re(z)|). The closure of the set also includes the origin and the points on the closed disk centered at the origin with radius 1/2.

c) The closure of the set {Re(1/z) ≤ 1/2} includes all points on the boundary of this region. This boundary consists of the line Re(z) = 1/2 (where the imaginary part of z can take on any value) and the point at the origin, since this is a limit point of the set.

d) The closure of the set {Re(z^2) > 0} includes all points on the boundary of this region. This boundary consists of the imaginary axis (where Re(z^2) = 0) and the rays emanating from the origin at angles ±π/4 (where Re(z^2) is positive). The closure of the set also includes the origin and the points on the closed half-plane to the right of the imaginary axis.

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See below for the steps to find the coordinates

To find the x and y coordinates of a point on a coordinate plane, follow these steps:

Lastly, write down the coordinates as an ordered pair (x, y)

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Answer: 22 degrees !

Step-by-step explanation: angle ABD is a right, 90 degree angle. angle ABC is a 68 degree angle. CBD is left, so you would do 90-68 to find it, which equals 22 :)

60 INCH TV MATE 60

the answer is 60 inch its a trick question just find out the inches there trying to trick you its 60 inch mate enjoy <3 Mark me brainliest

Answer:

1. Tv Length: 12 in

2. Tv Width: 5 in

3. Sorry I don't understand 3

4. I have a 60-inch Tv.

Hope this helps!

I

The approximate arc length of the circle of radius 1 unit is B. 0.785 units.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know, S = rФ, where S is the arc length, r is the radius and Ф is the measure of the angle in radians.

Therefore, When r = 1 and Ф = π/4,

S = 1×π/4.

S = 0.785 units.

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Answer:

$4

Step-by-step explanation:

The five-number summary calculator is a statistical method. It is used to find the third quartile, first quartile, median, minimum, and maximum value of the given data set.

A five-number summary calculator is a statistical test that includes five items. The items are Q₁ or first quartile, Q₃ or third quartile, the median, the maximum, and the minimum. This helps to give an idea about the data set. This also helps to calculate ascending order, descending order, and interquartile of the given data set.

In this method, we first input the list of numbers or data. Then, we arrange those numbers. From this, the minimum value and the maximum value will be found. Then, the median is calculated using the formula for odd and even numbers of terms. Then, the median of the lower half numbers gives the first quartile and the upper half number gives the third quartile.

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Answer:Well lets look at the arithmetic of this. Logically we know that all 42 animals have at least 2 feet each so 42 x 2 =84 that means the remaining feet cannot belong to the chickens and therefore 114–84= 30 remaining feet belong to the cows, therefore you divide 30/2 = 15 cows who have 4 legs each, 60 legs in total. 42–15 = 27 chickens who have 2 legs each, 54 legs in total. This adds up to the total of legs of 114, 60 + 54. Therefore out of a total of 42 animals, 15 are cows and 27 are chickens.

Step-by-step explanation:

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would collect like-terms and rearrange the expression as follows;

1,558 + 60x ≥ 2,158

60x ≥ 2,158 - 1,558

60x ≥ 600

x ≥ 10

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Complete Question:

Solve the inequality from part A for x. 1,558 + 60x ≥ 2,158.

Then use the drawing tools to graph the solution set on the number line.

On the number line, ________________.  

Next, draw a ray to the ____ of 10.

The required height of domino number 7 is 11.76 cm (rounded to two decimal places).

Arithmetic progression is the series of numbers that have common differences between adjacent values.

Here,
Since each subsequent domino is 13% taller than the one before, we can find the height of each domino by multiplying the height of the previous domino by 1.13.

Starting with the height of the smallest domino, we can calculate the height of each subsequent domino using this rule:

Height of domino n = Height of domino (n-1) × 1.13

Using this formula, we can find the height of each domino:

Height of domino 1 = 5.00 cm × 1.13 = 5.65 cm

Height of domino 2 = 5.65 cm × 1.13 = 6.38 cm

Height of domino 3 = 6.38 cm × 1.13 = 7.21 cm

Height of domino 4 = 7.21 cm × 1.13 = 8.16 cm

Height of domino 5 = 8.16 cm × 1.13 = 9.22 cm

Height of domino 6 = 9.22 cm × 1.13 = 10.41 cm

Height of domino 7 = 10.41 cm × 1.13 = 11.76 cm

Therefore, the height of domino number 7 is 11.76 cm (rounded to two decimal places).

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Since the polygon's perimeter equals the sum of its sides. This means that the perimeter (P) of a rectangle is;

P = the sum of all of its sides.

P = a + b + a + b In a rectangle, the opposite sides are equal.

P = 2(a + b)

Given a rectangle with length 4x and width x, what is its perimeter?

P equals 2(a + b), thus 48 equals 2(x + 4x).

48 = 2(x+4x)

48 = 2(5x)

48 = 10x

x  = 4.8

4x = 19

19.2 feet in length and 4.8 feet in width when first built.

The new length would be 9.5+19.2=28.7 if 9 1/2 were added to the previous length.

A new length of 28.7 feet results as a result.

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The half of the time that Arnold skied without falling is 712 as 2 x 356=712>223 .

Inequality is a mathematical statement that illustrates the connection between two expressions by using the inequality symbol. The phrases on both sides of an inequality sign are distinct. It indicates that the left expression should be larger or smaller than the right expression, or vice versa. When the link between two algebraic expressions is expressed using inequality symbols, literal inequalities arise.

The discrepancy represents the incident in which Kelvin skied for more than twice as long as anybody else in his family:

2f < 223

Here 223 is the time for Kelvin.

Check for Lori as follows:

2f < 223

2 x 55=110 < 223

Kelvin skied without falling more than twice as long as Lori.

Check for Vanessa as follows:

2f < 223

2 x 265=530>223

Check for Arnold as follows:

2f < 223

2 x 356=712>223

Kelvin skied without falling less than twice as long as Arnold.

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Complete question:

Kelvin wants to know whether he skied without falling more than twice as long as anyone else in his family. His dad tells him that he can check by using the inequality 2f < 223, where f is the time skied in seconds for each person. Plug the values for the time skied by each person into the inequality to find the answer.

Lori 55

Vanessa 265

Devon 172

Celia 112

Arnold 356

The volume of the rectangular prism is 480 cubic inches.

Volume is a three-dimensional space measurement. It is frequently numerically quantified using SI-derived units or various imperial or US customary units. The definition of length is linked to the definition of volume.

Let's label the dimensions of the rectangular prism as length (l), width (w), and height (h).

From the given information, we know that the cross section formed by the horizontal plane and the prism is a rectangle with dimensions 8 in. and 12 in. This means that the length and width of the rectangular prism are at least 12 in. and 8 in., respectively.

Similarly, the cross section formed by the vertical plane and the prism is a rectangle with dimensions 5 in. and 8 in. This means that the height and width of the rectangular prism are at least 5 in. and 8 in., respectively.

Therefore, the faces of the rectangular prism are:

A face with dimensions l x w = 12 in. x 8 in.

A face with dimensions l x h = 12 in. x 5 in.

A face with dimensions w x h = 8 in. x 5 in.

To find the volume of the rectangular prism, we can use the formula:

Volume = length x width x height

Since we don't know the exact dimensions of the rectangular prism, we can use the minimum dimensions we found earlier. Therefore, the volume of the rectangular prism is:

Volume = 12 in. x 8 in. x 5 in. = 480 cubic inches

So the volume of the rectangular prism is 480 cubic inches.

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Answer:

Figure B

Step-by-step explanation:

A translation is when you move every point of a figure in the same direction and same distance. It must retain the original shape of the figure and be superimposable. Figure C is a reflection, not a translation.

The value of x is 24.

If chosen at random, the probability that he plays two games is 7/29

John Venn popularized the Venn diagram in the 1880s, which is a type of diagram that displays the logical relationship between sets. The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach basic set theory and to show basic set relationships.

To find the value of x:

x + (42 - x) + (42 -x ) + (30-x) + 186 -42 + x - x -30 + x

=>150x + x = 174

x= 24.

From the Venn diagram, the number of students that play both games is 42

Hence, the probability is 42/174

Simplified further, it becomes:

7/29

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The solution sets for the inequality 10+y<10-3y and -6≥10-8x are y>-2.5 and x≤0.75, respectively.

Inequality is a mathematical concept used to compare two expressions and determine whether one is larger or smaller than the other. It is represented by symbols such as <, >, ≤, and ≥.

To find the solution set of 10+y<10-3y, we must first isolate the variable y on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with y<-10-3y.

We can then divide both sides by -4 to get

=> y>-2.5.

Thus, the solution set of 10+y<10-3y is y>-2.5.

To find the solution set of -6≥10-8x, we must first isolate the variable x on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with

=> -6≥-8x.

We can then divide both sides by -8 to get

=> x≤0.75.

Thus, the solution set of -6≥10-8x is x≤0.75.

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The margin of error for a sample taken from 150 households, with a 95% level of confidence and assuming a standard deviation of 0.5, is approximately 0.080 or 8.0%

To determine the margin of error for a sample taken from 150 households, we need to know the sample size and the level of confidence we want to have in our estimate.

Assuming a 95% level of confidence and a standard deviation of 0.5 (which is a conservative estimate when the population size is much larger than the sample size), the margin of error can be calculated using the following formula:

Margin of error = Z * (σ / √n)

where Z is the Z-score for the desired level of confidence, σ is the standard deviation of the population (or an estimate of it), and n is the sample size.

For a 95% level of confidence, the Z-score is 1.96. Assuming a standard deviation of 0.5, we can calculate the margin of error as:

Margin of error = 1.96 * (0.5 / √150) = 0.080

Therefore, the margin of error for a sample taken from 150 households, with a 95% level of confidence and assuming a standard deviation of 0.5, is approximately 0.080 or 8.0%. This means that the estimate obtained from the sample is likely to be within 8.0% of the true population parameter with 95% confidence.

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The inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the function f(x) as -

f(x) = (x + 2)/(x - 3)

We can write the function f(x) as -

f(x) = (x + 2)/(x - 3)

We can find the inverse function {f⁻¹(x)} as follows -

y = (x + 2)/(x - 3)

x = (y + 2)/(y - 3)

x(y - 3) = y + 2

xy - 3x = y + 2

xy - y = 3x + 2

y(x - 1) = 3x + 2

y = (3x + 2)/(x - 1)

f⁻¹(x) = (3x + 2)/(x - 1)

Therefore, the inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

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{Question in english -

perform the inverse of the following function f(x)=x+2/x-3}

The number 20 can be represented as a decimal by simply writing it as 20.0 or 20.00

The number 20 can be represented as a decimal by simply writing it as 20.00 or 20.000 This is because decimal notation is a way of writing numbers that uses a decimal point to separate the whole number part from the fractional part.

In this case, since 20 is a whole number and has no fractional part, we can represent it in decimal form by adding a decimal point and a zero or two zeros after it to indicate that there are no decimal places.

Alternatively, we can also represent 20 as a decimal by dividing it by 1, which does not change its value, and then expressing the quotient as a decimal. Since 20 divided by 1 equals 20, we can write 25 as a decimal by dividing 25 by 1 and writing the quotient as follows:

20 ÷ 1 = 20.000000... (with the decimal places repeating indefinitely)

However, in most cases, it is sufficient to represent 20 as 20.0 or 20.00, since these notations convey that the number has no fractional part.

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Answer: 20

Step-by-step explanation:

a + b = 60.

a - 6 = 5b - 30 or a = 5b - 24

a = 60 - b

60 - b = 5 b - 24

84 = 6b

b = 14

a = 46

Mother is 46 and daughter is 14 now. After 6 years, daughter will be 20.

Hope this helped you, And if possible, could I have brainliest?

I also answered first! :D (Please don't copy what I said for the people that are going to answer this question, thank you!) :D

A. Yes, this is a statistical question.

A statistical problem has four main elements that define it: the manner in which the question is posed, the characteristics and function of the data, the specific methods used to analyze the data, and the inferences drawn from the investigation. In summary, a statistics problem usually consists of four essential components.

1. Ask a Question

2, Collect Data

3. Analyze Data

4. Interpret Results

A statistical question is a question that can be answered by collecting and analyzing data. In this case, Geraldo is asking about the number of people who show up to play bingo each week.

This question can be answered by collecting data over a period of time and calculating the average number of people who show up to play bingo each week.

Therefore, this question is a statistical question.

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The length of the hypotenuse is 8√2 units.

According to the Pythagoras theorem, we can write -

        (hypotenuse)² = (base)² + (perpendicular)²

        (h)² = (b)² + (p)²

Given is a 45 - 45 - 90 triangle with a leg length of 8.

Equal Opp. Angles Theorem -

We can write using the Pythagoras theorem as -

x² = 8² + 8²

x² = 64 + 64

x² = 128

x = √(2 x 2 x 2 x 2 x 2 x 2 x 2)

x = √(2² x 2² x 2² x 2 )

x = 8√2

Therefore, the length of the hypotenuse is 8√2 units.

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Answer: this is true

Step-by-step explanation:

Answer:

Domain = {2, -5, 5, -7 }

Range = { 0, 1 , 3 , 8 }

Answer:

The surface area of the triangular prism is 180 square centimeters.

Step-by-step explanation:

To find the surface area of a triangular prism, we need to find the area of each face and add them up. Let's call the base of the triangle b, the height of the triangle h, and the height of the prism (the distance between the two triangular faces) H.

The triangular faces each have an area of (1/2)bh, so the total area of the two triangular faces is bh. The rectangular faces each have an area of Hb, so the total area of the two rectangular faces is 2Hb. Finally, the top and bottom faces each have an area of b^2, so the total area of these two faces is 2b^2.

Adding all of these areas together, we get:

Surface area = bh + 2Hb + 2b^2

Substituting the given values, we get:

Surface area = (6 cm)(8 cm) + 2(5 cm)(6 cm) + 2(6 cm)^2

Surface area = 48 cm^2 + 60 cm^2 + 72 cm^2

Surface area = 180 cm^2

Therefore, the surface area of the triangular prism is 180 square centimeters.

Answer:

12 quarters, 15 dimes

Step-by-step explanation:

Let q be the number of quarters and d be the number of dimes. We set up and solve this system of equations:

.10d + .25q = 4.50

d = 3 + q

.10(3 + q) + .25q = 4.50

.30 + .10q + .25q = 4.50

.30 + .35q = 4.50

.35q = 4.20

q = 12, d = 15

The average cost of an entree on a restaurant menu that is $15 describes the mean, not the median.

The mean is the average value of a data set.

To compute the average, the total value of the data set is divided by the number of items involved.

The average value or mean is the quotient of the total value and the number of data items.

On the other hand, the median describes the middle value of an ordered list of data values.

Thus, when an entree on a restaurant menu costs $15 on average, it is a description of the mean value and not the median.

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Lanthanum, a chemical element with the atomic number 57, has the symbol La in the Periodic Table.

Density is calculated by comparing an object's mass to its volume.

In this question the density of lanthanum is given in grams per mililitre.

For lanthanum density, the appropriate response is 6.15 grammes per millilitre.

To convert grams into kilograms, we do

Since\s1g=.001kg

Hence, the formula to determine the density of lanthanum in kilogrammes is 0.001*6.15g/ml, or 0.00615kg/ml.

Hence, 0.001*6.15g/ml, or 0.00615kg/ml, is the formula for computing the density of lanthanum in kilogrammes. Therefore,

The density will then be 0.00615/0.454 lbs/ml, or 0.0135462555066 lbs/ml, which is the equivalent in pounds.

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Answer:

[tex]8y^{3}[/tex]

Step-by-step explanation:

First you move like terms together. This leads to the equation, (2*2^2)(y^2*y). (2*2^2) is (2*4), or 8, and y^2*y is y^3. This means the simplifies equation is 8(y^3).

Answer:

Step-by-step explanation:

Given

[tex]\left(y^22\right)\left(y2^2\right)[/tex]

Lets simplify.

Remove the parenthesis.

[tex]y^2*2*y*2^2[/tex]

Rearrange the terms. (commutative property)

[tex]y*y^2*2*2^2[/tex]

Rewrite [tex]y[/tex] as [tex]y^1[/tex].

[tex]y^1y^2*2*2^2[/tex]

Use the power rule to combine the exponents.

[tex]y^{1+2} *2*2^2[/tex]

[tex]y^{3} *2*2^2[/tex]

Evaluate [tex]2*2^2[/tex].

[tex]2*2*2=8[/tex]

[tex]y^3*8=8y^3[/tex]

[tex]8y^3[/tex]

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