The average length of the dragon used in the performance is 12 feet. The dragon is divided into 9 sections. How long is each sections

There is only one child in the park who does not like to play either cricket or football or soccer.

Additionally, you should ignore any typos or irrelevant parts of the question .Here's how you can solve the given problem :Given that ,In a park, 25 children play every day in the evening.

12 children like to play cricket.8 children like to play football.4 children like to play soccer.Total children who like to play either of these three sports = \(12 + 8 + 4 = 24.\)

Therefore, the number of children who do not like to play any of these sports = Total number of children - Number of children who like to play any of these sports= \(25 - 24= 1\).

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For n≥2, the corresponding recursive function is f (1) =3f(n)=f(n1) +5.

In mathematics, a function is a rule that pairs each element from the domain with exactly one from the range or codomain of two sets.

In a recursive function, the output value at a certain input value is defined as a function of the output value at the previous input value. In this instance, we may use the definition to derive the recursive function from the explicit function:

f (n) = 5n - 2 f (n) = 5n - 3 f (n) = 5(2) - 8 f (n) = 5(3) - 13

The right response is: A. When n=2, f(1) = 2f(n)= f(n1) + 5.

As a result, the recursive function can be written as: f (1) =3f(n)=f(n1) +5 for n2.

Thus, for n≥2, the analogous recursive function is f (1) =3f(n)=f(n1) +5.

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Answer:

d

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

x=1/4

Answer:11n^3/9-2n^2/3+44n/3-8Step-by-step explanation:

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

670183

The length of line segment AB as required to be determined in the task content is; 53/45.

It follows from the task content that the length of the line segment AB is to be determined as required in the task content.

Since the point, S is a point on line segment AB such that;

AS = 7/9 and SB = 2/5

It follows that the required length of line segment AB is defined as the sum of the lengths of line segments AS and SB.

Therefore; AB = 7/9 + 2/5

AB = (35 + 18) / 45 = 53/45

Ultimately, the required length of line segment AB is; 53/45.

PS;

Also, Two angles are said to be supplementary if the sum of their measures is equal to 180°.

Therefore, since <B is supplementary to <A; the measure of <B is; 180° - <A.

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The formula for the general term of the given sequence 5, 5/3, 5/9, 5/27 is  \(a_{n} = \frac{5}{3^{n} }\).

According to the given question.

We have a sequence  5, 5/3, 5/9, 5/27.

As, we know that "a sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule"

If we see the given sequence 5, 5/3, 5/9, 5/27 it is following a pattern in which the nummerator of all the terms are same but the denominator is increasing by by power to 3 like 3^0 = 1, 3^1 = 3, 3^2 = 9 and so on.

Thereofre, the genereal term  \(a_{n}\), of the given sequence is given by

\(a_{n} = \frac{5}{x^{n} }\) , where n belong to whole numbers.

Hence, the formula for the general term of the given sequence 5, 5/3, 5/9, 5/27 is  \(a_{n} = \frac{5}{3^{n} }\).

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One way a government may involve "regular" people in creating a genocide is through propaganda campaigns and indoctrination.

Governments can use propaganda and indoctrination to manipulate public opinion and so shaping the beliefs and attitudes of "regular" people. Through systematic dissemination of false information, dehumanization of targeted groups and promotion of extremist ideologies, governments can fuel hatred and incite ordinary individuals to participate in genocidal acts.

By exploiting existing prejudices and fostering a climate of fear, governments can coerce or persuade regular citizens to become complicit in the violence which leads to the mass persecution and extermination of targeted populations

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Morgan will need approximately 9.82 square feet of fabric to cover the cushions.

To find the total square footage of fabric needed to cover the cushions, we first need to calculate the area of each circular cushion and then multiply it by the number of cushions.

The formula for the area of a circle is A = πr², where A is the area and r is the radius. However, we don't have the radius directly, only the circumference.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Rearranging this equation, we can find the radius in terms of the circumference: r = C / (2π).

Let's calculate the radius of each cushion using the given circumference:

C = 7.85 feet

r = C / (2π) = 7.85 / (2 × 3.14) ≈ 1.25 feet

Now we can calculate the area of each cushion:

A = πr² = 3.14× (1.25)² ≈ 4.91 square feet

Since there are two cushions, we need to double this area:

Total area needed = 2 × 4.91 square feet = 9.82 square feet

Therefore, Morgan will need approximately 9.82 square feet of fabric to cover the cushions.

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Answer:

Step-by-step explanation:

rectangle + semicircle

= 8*6 + pi r^2/2

=48 + 22/7 * 3/2 * 3/2

then simplyn..

Answer:

The figure is a rectangle and a semicircle

Step-by-step explanation:

The distance between base of ladder and the building should be

4.4 meter.

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

AC² = AB² + BC²

Given,

Height of the window from the ground AB = 9 meter

Length of the ladder AC = 10 meter

Distance between base of ladder and building BC = ?

By Pythagorean theorem,

In the right ΔABC

AC² = AB² + BC²

10² = 9² + BC²

BC² = 10² - 9²

BC² = 100 - 81

BC² = 19

BC = √19

BC = 4.359 meter

BC = 4.4 meter

Hence, base of ladder should be 4.4 meter away from the building.

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Answer:

327 inches³

Step-by-step explanation:

Planter A volume = (14 × 3 × 4) inches

= 168 inches³

Planter B volume = (9 × 3 × 3) inches

= 31 inches³

Planter C volume = (3 × 3 × 13) inches

= 78 inches³

Total volume = (168 + 81 + 78) inches

= 327 inches³

Hope this helps and have a nice day

To measure out exactly 1 gallon of water we need exactly six possible number of moves.

To measure out exactly 1 gallon of water using two jugs, one with a 3-gallon capacity and one with an 5-gallon capacity, you can follow some steps

Fill the 5-gallon jug with water completely. Pour the water from the 5-gallon jug into the 3-gallon jug, leaving 2 gallons of water in the 5-gallon jug.

Empty the 3-gallon jug completely. Pour the 2 gallons of water from the 5-gallon jug into the empty 3-gallon jug.

Fill the 5-gallon jug with water again. Pour water from the 5-gallon jug into the 3-gallon jug until it is full, which will leave exactly 1 gallon of water in the 5-gallon jug.

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Answer:

2.083 yards

Step-by-step explanation:

1 inch ≈ 0.0278 yard

75 inches ≈ 2.083 yards

So, 75 inches is about 2.083 yards.

Answer:

75/36 or 2.083

Step-by-step explanation:

We know that there are 36 inches in a yard so just take 75 inches and divide by 36 and you get 2.083

Answer:

33

Step-by-step explanation:

−16−35+18+x=0

-51+18+x=0

-33+x=0

x=33

gathmathcom

Answer: 3.375oz

Explanation

Given

• Reduce his daily soda intake by ​25%.

• Currently, he drinks 4.5oz. cans of soda per day.

• Ounces of soda can the patient drink if he reduces his intake by 25​%?

We have to build a relation, where 4.5 is our 100% and x is 75% (100 - 25 = 75%):

Solving for x:

Answer:

A is the only solution.

Step-by-step explanation:

A simple way to solve it is to plug in the x and y values

For A, we plug in 2 for x and 3 for y

3-3=5(2-2)

0=5(0)

0=0

Ordered pair A is a solution

For B, plug in 3 for x and 2 for y

2-3=5(3-2)

-1=5(1)

-1 does not equal 5

Therefore only A is a solution

The intersection points of the line who equation is y = -2x + 1 and the circle whose equation is x² + (y + 1)² = 16 are (2.4, -3.8) and (-0.8, 2.6).

Given a circle and a line.

We have to find the intersection points of these.

We have the equation of circle,

x² + (y + 1)² = 16

And the equation of the line,

y = -2x + 1

Substituting the value of y to x² + (y + 1)² = 16,

x² + (-2x + 1 + 1)² = 16

x² + (-2x + 2)² = 16

x² + 4x² - 8x + 4 = 16

5x² - 8x - 12 = 0

Using quadratic formula,

x = [8 ± √(16 - (4 × 5 × -12)] / 10

  = [8 ± √256] / 10

  = [8 ± 16] / 10

x = 2.4 and x = -0.8

y = (-2 × 2.4) + 1 = -3.8 and y = (-2 × -0.8) + 1 = 2.6

Hence the intersecting points are (2.4, -3.8) and (-0.8, 2.6).

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Answer:

725

Step-by-step explanation:

The coordinates of the specified vertex after the given sequence of transformations is given by;

Q' = (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:

Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:

(x, y)      →       (x, -y)

Coordinate Q' (3, 3) → (3, -3).

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When the dots on the plot are scattered roughly in a circle, the relationship (covariation) between the two variables is weak.

Scatter diagram is a graph that shows the relationship between two variables. It represents two-dimensional data, and each point represents a pair of data. In addition, it is used to examine the strength and direction of the association between two variables.The relationship between two variables can be positive or negative or neutral. If the relationship is positive, then an increase in one variable causes an increase in the other variable.

If the relationship is negative, then an increase in one variable causes a decrease in the other variable. If there is no relationship, then the variables are independent. The dots on the plot are scattered roughly in a circle. This indicates that the relationship (covariation) between the two variables is weak. In other words, there is no relationship between the two variables. A scatter plot with a weak relationship shows that there is no pattern between the two variables.

If the dots form a circle or oval shape, then there is no linear relationship between the two variables.

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The coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).Given that the glide reflection determined by the slide arrow OẢ, where O is the origin and A(0,2), and the line of reflection is the y-axis.

The maxima and minima of a function are its maximum and minimum points within or across a certain range, and these points are collectively referred to as extrema in mathematical analysis. The highest value of the variable. The maximum amount, level, etc. The variable can only take a maximum of 2. Maximum refers to a peak (plural maxima). The lowest position is referred to as minimal (multiple minimum). Extremum is a phrase for the greatest or least of anything (multi-extremum). Local maxima (or minima) are used if there are better (or worse) sites available elsewhere but they are not nearby.

Now, we need to find the image of any point (x, y) under this glide reflection in terms of x and y.

a) Image of any point (x, y) under this glide reflection is given by,(x, y) → (x′, y′)= reflection(y-axis) [ translation(OA) (reflection(y-axis))]

Now, reflecting the point (x, y) on y-axis, we get(-x, y).

Now, translating the point (-x, y) by the distance vector OA, we get(x - 0, y - 2) = (x, y - 2)

Therefore, the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)

b) Given that (3, 5) is the image of a point P under the glide reflection. We need to find the coordinates of P.

Now, we know that the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)So, (x, y - 2) → (3, 5)On comparing the x-coordinates, we getx = 3On comparing the y-coordinates, we gety - 2 = 5⟹ y = 7

Therefore, the coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).

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Answer:

xy is the slope and is correct

The four points form the vertices of a quadrilateral is w° (1, 0), w (1, √3), w² (-2, √3), w' (1, -√3)

Let's analyze the complex number w and plot its powers and conjugate on an Argand diagram.

Given w = 2(cos(π/3) + i sin(π/3)), we can find w°, w², and w'.

1. w° is the 0th power of w, which is always 1 (1 + 0i) for any non-zero complex number.

2. w² can be found using De Moivre's theorem:
w² = 2²(cos(2π/3) + i sin(2π/3)) = 4(-1/2 + i√3/2).

3. w' is the complex conjugate of w:
w' = 2(cos(π/3) - i sin(π/3)) = 2(1/2 - i√3/2).

Now, let's plot these points on the Argand diagram:
- w° (1, 0)
- w (1, √3)
- w² (-2, √3)
- w' (1, -√3)

These four points form the vertices of a quadrilateral.

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a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.

b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.

c) The study includes 27 four-year-olds as the observational units or individuals.

The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.

The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.

On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.

The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.

The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.

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Arc length = π r^2 (Θ/360)

There is a squared radius that can't be in the formula. The result will be an area instead of a length.