what is the name of this figure

Answer:

real , rational and integer

Step-by-step explanation:

it is an integer because all the negative numbers and positive numbers belong to the group integers

it is a rational number because  rational numbers are divided into 3 groups which are natural numbers , whole numbers, and integers

it is a real number because real numbers are divided into two rational and irrational numbers

                                      number system

real numbers                                                              imaginory numbers

rational numbers        irrational numbers

whole numbers ,natural numbers, integers

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

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond\)

                    What number groups does -2 belong in?

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond\)

First, let's take a look at some number groups.

      The first one is:-

          ❖ Natural numbers. This set consists of positive numbers only.

       ◈ Example:- 4, 6, 12, 436... any positive number is included in the "Natural numbers" set.

The next set is:-

      ❖ Whole numbers. This set includes all natural numbers plus zero.

Negative numbers are still not included.

The next set is:-

   ❖ Integers. This set includes all whole numbers plus negative numbers. Fractions are not included in this set.

The next set does include fractions, and it's called

    ❖ Rational numbers. This set consists of integers and, as I mentioned before, fractions.

Another number set is as follows:-

   ❖ Irrational numbers. This set includes numbers that cannot be expressed as fractions, like \(\bold{\sqrt{2}}\), or you may have heard of \(\pi\), which is also irrational, meaning that we cannot express π as a fraction, because it has an infinite number of digits after the decimal point.

Finally, the set that includes all numbers (or almost all) is called:-

    ❖ Real numbers. This set includes rational, irrational numbers, integers... almost everything.

There's another set of numbers:-

   ❖ Imaginary numbers. This set consists of numbers that were imagined. Such numbers come in handy when it comes to solving some equations, like \(\bold{x^2=-1}\). They are also called "complex numbers".

Now that we know all the sets of numbers, let's answer this question:-

\(\textsf{ What number groups does -2 belong in?}\)

First, it's negative, so it's not a whole number or a natural one.

It is an integer, because negative numbers are included in the "integers" set.

It can be expressed as a fraction, which is as follows:-

❖ \(\bold{-\dfrac{2}{1}}\)

So we conclude that -2 is:-

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

Pythagorean theorem tells us how the side lengths of right triangles are related.

The Pythagorean theorem, also known as the Pythagorean identity, states that the sum of the squares of the lengths of the two sides forming the right angle is equal to the square of the length of the hypotenuse in any right triangle (the side opposite the right angle). In other words, the Pythagorean theorem can be used to calculate the length of the hypotenuse given the lengths of the two sides of a right triangle.

This relationship can be written as the equation:

\(a^2 + b^2 = c^2\)

where a and b are the lengths of the legs, and c is the length of the hypotenuse. The Pythagorean Theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery.

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The statements that must be true are:

B. FH ≅ GH

D. <DHF is a right angle

E.  H is the midpoint of FG

What is a perpendicular bisector?

A perpendicular bisector is a straight line which partitions a given line segment into two equal parts. As such, it is at a right angle to the bisected line segment.

From the given diagram, given that line DE is the perpendicular bisector of line segment FG, then the statements that must be true are:

B. FH ≅ GH

D. <DHF is a right angle

E.  H is the midpoint of FG

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according to question the simplified expression is (w + 4) / (w - 5).

To simplify the expression (w^2 + 2w - 24) / (w^2 + w - 30) + 8 / (w - 5), we need to first factor the two quadratic expressions in the numerator and denominator of the first term:

w^2 + w - 30 = (w - 5)(w + 6)

w^2 + 2w - 24 = (w + 6)(w - 4)

So, the first term simplifies to:

(w + 6)(w - 4) / (w - 5)(w + 6) = (w - 4) / (w - 5)

Now, we can rewrite the entire expression as:

(w - 4) / (w - 5) + 8 / (w - 5)

To combine the two fractions, we need to find a common denominator, which is (w - 5). Then, we can add the numerators:

[(w - 4) + 8] / (w - 5) = (w + 4) / (w - 5)

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Using the Fundamental Counting Theorem, it is found that Deidra can choose 12 different combinations.

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Then:

\(N = n_1n_2 = 4(3) = 12\)

Deidra can choose 12 different combinations.

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To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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Answer:

383.4

Step-by-step explanation:

127.8 * 3

300 + 60 + 21 + 2.4

383.4

The function F(t) is defined as F(t) = -2 * U(t-2) + 7 * U(t-8), where U(t) represents the unit step function. The unit step function, U(t), is a mathematical function that equals 1 for t ≥ 0 and 0 for t < 0. In this case, U(t-2) and U(t-8) represent two shifted unit step functions. F(t) combines these two functions with different coefficients (-2 and 7) to create a piecewise-defined function. The function F(t) takes the value -2 from t = 2 to t = 8 and then switches to the value 7 for t > 8.

Let's break down the function F(t) = -2 * U(t-2) + 7 * U(t-8) to understand its behaviour.

The unit step function, U(t), is defined as follows:

U(t) = 1, for t ≥ 0

U(t) = 0, for t < 0

U(t-2) represents a unit step function shifted to the right by 2 units. This means U(t-2) = 1 for t ≥ 2 and U(t-2) = 0 for t < 2.

Similarly, U(t-8) represents a unit step function shifted to the right by 8 units. This means U(t-8) = 1 for t ≥ 8 and U(t-8) = 0 for t < 8.

Now, let's analyze the function F(t) based on these unit step functions.

For t < 2, both U(t-2) and U(t-8) are 0, so F(t) = -2 * 0 + 7 * 0 = 0.

For 2 ≤ t < 8, U(t-2) = 1 and U(t-8) = 0. Therefore, F(t) = -2 * 1 + 7 * 0 = -2.

For t ≥ 8, both U(t-2) and U(t-8) are 1, so F(t) = -2 * 1 + 7 * 1 = 5.

In summary, the function F(t) takes the value -2 for 2 ≤ t < 8 and switches to the value 5 for t ≥ 8. It remains 0 for t < 2.

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The minimum value of f(x, y) = 2x4 + 2y4 – xy is - 0.75

From the information given, we have to determine the minimum value of the function given as;

f(x, y) = 2x⁴ + 2y⁴ – xy

Now, we have to use the Lagrange multipliers method.

Find the partial derivatives of f with respect to x and y, we get;

fx = 8x³ - 2y

fy = 8y³ - 2x

Equate the functions to the Lagrange multiplier, λ, we have;

λ = 8x³ - 2y

λ = 8y³ - 2x

Solving these equations, we have that x = 1/2 and y = 1/2.

Substitute the values into the functions, we have;

f(1/2, 1/2) = 2(1/2)⁴+ 2(1/2)⁴- (1/2)(1/2) = -1.5625

expand the values, we have;

f(1/2, 1/2) = 2/16 + 2/16 - 1

Find the LCM and divide the values, we have;

f( 1/2, 1/2 ) =  -0.75

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Check the picture below.

The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1 AND 3 ARE VERTICAL ANGLES AND 2 AND 4 ARE ALSO VERTICAL ANGLES, MAKING THEM NOT SUPPLEMENTARY SINCE SUPPLEMNETARY IS STRIAGHT LINE.

The land Juan has cleared by midday has an arc length of about 32 inches and an area of about 2,124 square inches.

The land Juan has cleared midday has an arc length of approximately 127 inches and an area of about 1,282.87 square inches.

The length of a curved line segment connecting two points on a circle's circumference is known as the arc length. Since the circumference of a circle is always the same for any given diameter, the ratio of the arc length to the circumference is equivalent to the ratio of the central angle to 360 degrees.

Therefore, the arc length formula can be derived from this:Arc Length = θ / 360 × 2πr

Where,θ is the central angle in radiansr is the radius of the circleUsing the above formula, the arc length is:Arc Length = 140° / 360 × 2π(52/2)Arc Length = 0.39 × 81.68Arc Length ≈ 31.95 ≈ 32 inches

The area of a sector is calculated as a fraction of the circle's total area. As a result, the formula for the area of a sector is derived as follows:Area of sector = θ / 360 × πr²

Where,θ is the central angle in radiansr is the radius of the circleUsing the above formula, the area of land cleared by Juan midday is:Area of sector = 140° / 360 × π(52/2)²

Area of sector = 0.39 × π × 26²Area of sector ≈ 1,282.87 ≈ 2,124 in²

Hence, the land Juan has cleared by midday has an arc length of about 32 inches and an area of about 2,124 square inches.

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Answer:

13

Step-by-step explanation:

  $.   :   text message

   8.   :   80

=  ?     :   130

? =  ( 8 * 130) / 80

? = 13

Answer:

13

Step-by-step explanation:

 $.   :   text message

  8.   :   80

=  ?     :   130

? =  ( 8 * 130) / 80

? = 13

Answer:

A) is the correct answer

Step-by-step explanation:

since MN and NO are not rays or lines, they are line segments/segments.

The number of the line segment is three which is MN, NO, and MO. Then the correct option is D.

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

The points M, N, and O are given in a straight line.

Then the line segment will be MN, NO, and MO.

Thus, the number of the line segment is three which is MN, NO, and MO.

Then the correct option is D.

The line segments are given below.

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Answer:

4/15 is the answer my guy

Step-by-step explanation:

5/3 x 4/25= 20/75 simplified is 4/15

Hello!

A linear equation has the form y = ax +b.

We also can call it the slope-intercept form.

We have two points, that I will name 1 and 2:

• (x1, y1) = (3, 4)

• (x2, y2) = (8, 3)

The first step is to find the slope (variable a). We must use the formula below:

So, let's replace it with the values that we know:

Now we know variable a, we must find the variable b too. So, we can replace x and y in the equation with the coordinates of the point (x1, y1). Look:

So, the equation will be:

Look at the graph of this equation below:

We know that it took 18 hours to drive 666 miles. If we divide the distance by the hours (666 miles)/(18 hours)

We find that 666/18= 37 miles per hour . which means we travel 37 miles each hour.

So, we can estimate that driving 37 miles it will take 1 hour (the distance to Chicago).

Answer:

666/18=37miles/hour

it would take 1 hour to drive 37 miles

Answer:

16

Step-by-step explanation:

The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.

For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

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Answer:

1) He earns $288 a week

2) 270.20

3) 226.97

4) 215. 62

6) 967.68

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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An observational study would be the most appropriate type of study to compare lawyer salaries to doctors' salaries.

When comparing lawyer salaries to doctors' salaries, conducting an observational study would be the most appropriate approach. An observational study involves observing and analyzing existing data without any intervention or manipulation of variables. In this case, researchers would collect salary data from a representative sample of lawyers and doctors and analyze the differences between the two groups.

Conducting an experiment without blinding, experiment with single blinding, or experiment with double blinding would not be suitable for this question. Blinding refers to the process of concealing information about the intervention or treatment from the participants or researchers to reduce bias. Since the question involves comparing salaries, there is no direct intervention or treatment that can be manipulated, making blinding unnecessary.

A case-control study would also not be appropriate for this question. A case-control study is typically used to investigate the association between an outcome (case) and potential risk factors (control). In the case of lawyer salaries versus doctors' salaries, there is no specific outcome or risk factor to compare; rather, the focus is on comparing the salaries themselves.

Therefore, an observational study would be the most suitable approach to compare lawyer salaries to doctors' salaries, as it allows for the collection and analysis of existing data without the need for manipulation or blinding.

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Answer:

3 , 2.96 , 1/5 (0.2)  
3.48 , 3 , 1/4 (0.25)

Step-by-step explanation:

descending order

Answer:

6x + 25

Step-by-step explanation:

6 ( x + 4 ) + 1

= 6 ( x ) + 6 ( 4 ) + 1

= 6x + 24 + 1

= 6x + 25

Answer:

GG buddy

Step-by-step explanation:

Yessir Bud Its on you!

          Get smarter!

The sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176

The series is given as:

6 8 10 12 14 16 18 20 22 24 26

The above series is an arithmetic series with the following parameters:

First term, a = 6

Last term, L = 26

Number of terms, n = 11

The sum of the series is calculated using:

\(S_n= \frac{n}{2} *(a + L)\)

This gives

\(S_n= \frac{11}{2} *(6 + 26)\)

Evaluate

\(S_{11} = 176\)

Hence, the sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176

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Based on the given autocorrelations, an ARMA(2,1) model may be appropriate for the series.

From the given information, we know that the series has a length of 169 and that the autocorrelations decrease in magnitude as the lag increases. This suggests that the series may be stationary and that an ARMA model may be appropriate.

From the ACF data, we can see that the autocorrelations decay slowly, suggesting that the series may have a long memory. However, there are significant spikes at lags 1, 2, and 3, suggesting that there may be some autoregressive structure in the data.

From the PACF data, we can see that the partial autocorrelations are significant at lags 1 and 2, but not at higher lags. This suggests that an ARMA(2,0) model may be appropriate.

However, since the autocorrelations decay slowly, we may want to consider a model with a moving average component as well. A reasonable starting point would be an ARMA(2,1) model, which includes two autoregressive terms and one moving average term.

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