hich component of an expert system uses forward and backward chaining to manipulate a series of rules?

Step-by-step explanation:

The answer is in the pic above

Applying the leg rule, the value of x in the given right triangle is: A. 6.

The leg rule for solving a right triangle having an altitude is expressed as:

hypotenuse/leg = leg/part.

In the image given we have the following:

Hypotenuse = 4 + 5 = 9 units

Leg = x

Part = 4

Plug in the values into the leg rule formula:

9/x = x/4

(x)(x) = (9)(4)

x² = 36

x = √36

x = 6 units.

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The odds in favor of the event happening are 5 to 4.

We have,

To find the odds in favor of an event happening, we use the formula:

Odds in favor = Probability of the event happening / Probability of the event not happening

In this case,

The probability of the event happening is 5/9.

The probability of the event not happening is 1 - 5/9, which simplifies to 4/9. So the odds in favor of the event happening are:

Odds in favor

= 5/9 / 4/9

= 5/4

Therefore,

The odds in favor of the event happening are 5 to 4.

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Answer:

220 to 4

Step-by-step explanation:

Your welcome

Answer:

\(\frac{16y^6}{x^2}\)

Step-by-step explanation:

\((\frac{4xy^3}{x^2})^2 = \frac{16x^2y^6}{x^2}\)

\(\frac{x^2}{x^2}\) cancels out leaving you with \(\frac{16y^6}{x^2}\)

Hope this helps!

Answer:

a) 323 kph with a directional bearing of S 22° E

Step-by-step explanation:

to find the ground speed:

just do the pythagorean theorem.

c²=300²+120²

c²=104400

c=323

to find the directional bearing:

use the law of sines!

sin(90)/323 = sin(θ)/120

(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)

cross multiply:

120sin90=323sin(θ)

divide 323 on both sides:

sin(θ)=0.3715

use inverse sin to find out degree measure:

sin⁻¹(0.3715)=21.8

rounds up to 22.

The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.

To find the ground speed of the plane, we need to know what a vector is

What is a vector?

A vector is a variable that has both magnitude and direction.

Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.

Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i

Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.

A resultant vector is the sum of two or more vectors.

So, V' = v + V

V' = (-120 kph)i + (-300 kph)j

So, its magnitude V' = √(x² + y²) where

x = -120 kph and

y = -300 kph.

So, V' = √[(-120 kph)² + (-300 kph)²]

= √[14400 kph² + 90000 kph²]

= √(104400 kph²)

= 323.11 kph

≅ 323 kph

The direction of the plane

Its direction, Ф = tan⁻¹(y/x)

Ф = tan⁻¹(-300 kph/-120 kph)

Ф = tan⁻¹(2.5)

Ф = 68.2°

From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°

So, the directional bearing of the plane is S22°E.

So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.

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Answer: its B) test statistic

Step-by-step explanation:

There is no any fraction of Pizza left for other toppings, so the required space for other toppings is Zero.

Fractions are used to represent portions of a full or collection of items. There are two parts to every fraction. The number which is at the top of the line is referred to as the numerator. It specifies the number of equal pieces taken from the overall amount or collection. Figure below the line is referred to as the denominator. It shows the number of identical items in a group or the total number of equal parts in a whole.

Ed place mushrooms on Pizza = 5/12

Ed place onions on Pizza = 7/12

Total Fraction of Pizza left = 1 - (5/12 + 7/12)

So Total fraction of Pizza left = 1 - (12/12)

So Total Pizza left = 0

So there is no any more Pizza left for any toppings.

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The complete Question is :

Ed place mushrooms on a 5/12 pizza and onions on a 7/12 pizza. How much more of the pizza is left for other toppings?

Answer:

17/36

Step-by-step explanation:

We have to find a common denominator, so the first common denominator for 4 and 9 is 36. 9x4=36, so we multiply 2 by 4, which equals 8. 4x9-36, so we multiply the 1 by 9, and get 9. Then we add the numerators, 8 and 9, and get 17. So it's 17/36

The limit of the function 5x⁴ +8x²/3x⁴ -16x² as x approaches 0 is -1/2.

To evaluate the limit of the function 5x⁴ +8x²/3x⁴ -16x², we can start by factoring the numerator and denominator:

[(x²(5x² + 8))/(x²(3x² - 16))]

Next, we can cancel out the common factor of x²:

[(5x² + 8)/(3x² - 16)]

Now we can plug in x = 0 to get:

(5(0)² + 8)/(3(0)² - 16)

= 8/-16

Simplifying this expression, we get:

lim x → 0 [5x⁴ +8x²/3x⁴ -16x²)] = -1/2

Therefore, the limit is equal to -1/2.

When we try to simplify any function or any equation, we get a simplified term which is often a fraction. The elements of a fraction are constituted by numerator and denominator.

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Answer:

The first option (the uppermost) is correct.

Step-by-step explanation:

When you multiply 1/2 by 3/4, you obtain the result of (1x3) / (2x4).

Simplifying, this gives us the result: 3/8, which is represented by the first choice.

Let me know if this helps!

The correct option is D. $3,090. However, since there is no value close to this answer, it appears that there may be an error or inconsistency in the given information or calculations.

The cost of goods sold can be calculated using the formula:

Cost of goods sold = Beginning inventory cost + Cost of goods purchased - Ending inventory cost

Given:

Cost of goods purchased = Cost of goods manufactured = $12 x 610 = $7,320

Units sold = 330 units

Units left in inventory = 290 + 610 - 330 = 570 units

According to the FIFO (First-In, First-Out) method of inventory valuation, the goods that are sold first are assumed to be the ones that were bought first. Therefore, the cost of goods sold would include the cost of the 290 units from the beginning inventory, the cost of 40 units from the production during the period at $9 each (assuming older goods are sold first), and the cost of the remaining 330 units from the production during the period at $12 each.

So, the cost of goods sold would be:

Cost of goods sold = (290 x $9) + (40 x $9) + (330 x $12) = $2,610 + $360 + $3,960 = $6,930

Therefore, the correct option is D. $3,090. However, since there is no value close to this answer, it appears that there may be an error or inconsistency in the given information or calculations.

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Answer:

x=7

Step-by-step explanation:

Because these are vertical angles, we know that they are equal. Thus, we can make the equation:

x+16=4x-5

Add 5 to both sides and subtract x from both sides

21=3x

divide both sides by 3

x=7

Answer:

The answer after division is: \(2\frac{2}{5}\)

Step-by-step explanation:

The given question involves two mixed fractions that are being divided.

\(7\frac{1}{2}\div 3\frac{1}{8}\)

First of all, we will convert the fractions into proper fractions

\(\frac{15}{2}\div \frac{25}{8}\)

When the division is performed, the second fraction is reversed

So dividing gives us:

\(\frac{15}{2} * \frac{8}{25}\\= \frac{3*4}{5}\\=\frac{12}{5} = 2\frac{2}{5}\)

Hence,

The answer after division is: \(2\frac{2}{5}\)

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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To find the orthogonal projection of a vector onto a subspace, we can use the formula:

Projection of vector v onto subspace W = ((v ⋅ u1) / ||u1||^2) * u1 + ((v ⋅ u2) / ||u2||^2) * u2 + ...

where v is the vector we want to project, u1, u2, ... are the basis vectors spanning the subspace W, ⋅ denotes the dot product, and ||u|| represents the magnitude of vector u.

In this case, the vector to be projected is v = [49, 49, 49], and the subspace is spanned by u1 = [2, 3, 6] and u2 = [3, -6, 2].

First, we normalize the basis vectors:

||u1|| = √(2^2 + 3^2 + 6^2) = √49 = 7

u1_normalized = (1/7) * u1 = [2/7, 3/7, 6/7]

||u2|| = √(3^2 + (-6)^2 + 2^2) = √49 = 7

u2_normalized = (1/7) * u2 = [3/7, -6/7, 2/7]

Next, we calculate the dot products:

v ⋅ u1_normalized = [49, 49, 49] ⋅ [2/7, 3/7, 6/7] = (98/7) + (147/7) + (294/7) = 539/7 = 77

v ⋅ u2_normalized = [49, 49, 49] ⋅ [3/7, -6/7, 2/7] = (147/7) - (294/7) + (98/7) = -49/7 = -7

Now, we can calculate the projection:

Projection of v onto subspace W = (77 / ||u1||^2) * u1_normalized + (-7 / ||u2||^2) * u2_normalized

Plugging in the values:

Projection of v onto subspace W = (77 / 7^2) * [2/7, 3/7, 6/7] + (-7 / 7^2) * [3/7, -6/7, 2/7]

                                = (11/49) * [2, 3, 6] + (-1/49) * [3, -6, 2]

                                = [22/49, 33/49, 66/49] + [-3/49, 6/49, -2/49]

                                = [19/49, 39/49, 64/49]

Therefore, the orthogonal projection of the vector [49, 49, 49] onto the subspace spanned by [2, 3, 6] and [3, -6, 2] is [19/49, 39/49, 64/49].

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The required answers are (1) the circumference of a circle with a diameter of 5.5 meters is 17.27 meters (2) the area of a circle with a diameter of 5.5 meters is 23.75 m² and (3) the circumference of a circle with a radius of 2.5 meters is 15.7 meters respectively.

What is the area of a circle?

The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement.

Every geometric shape has a distinct area. This area is the portion of the shape's two-dimensional plane that is occupied.

It is given by in the term of diameter

A = (π*d²)/4

1) Given, diameter (d) = 5.5 meters

∴Circumference of a circle = π*d = 3.14*5.5 = 17.27 meters

2) Given, diameter (d) = 5.5 meters

∴Area of a circle(A) = (π*d²)/4 = (3.14*5.5²)/4 = 23.75 m²

3) Given, radius(r) = 2.5 meters

∴Circumference of a circle = 2πr = 2*3.14*2.5 = 15.7 meters

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Based on the calculation below, the amount he should pay altogether is RM15x – y.

Let C represent the entrance fee for a child and A represents the entrance fee for an adult, we therefore have:

C = RM(3x-y)

A = RM(3x-y) + RM2y = RM3x – RMy + RM2y = RM(3x – y + 2y) = RM(3x + y)

Since Mr. Kamal and his wife bring their three children to the circus, this implies that we have 2 adults and 3 children.

The amount he should pay altogether (T) can therefore be calculated by collecting the like terms as follows:

T = 3C + 2A = 3RM(3x – y) + 2RM(3x + y)

T = RM9x – 3y + RM6x + 2y

T = RM9x + RM6x – 3y + 2y

T = RM15x – y

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Answer:

1-24

2-15 books for 9 pupils

3-Worker 1

3x = 3(1,750)

    = 5,250

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

Worker 2

4x = 4(1,750)

    = 7,000

4-368

5-22 days and a half (22.5 days)

Step-by-step explanation:

hope this helps if u need the calclations tell me!

The correct answer is "line of best fit." A regression line is also called the line of best fit as it represents the best approximation of the relationship between the independent and dependent variables in a scatterplot.

In statistics and data analysis, a regression line is a straight line that represents the best-fitting relationship between two variables. It is often referred to as the "line of best fit" because it minimizes the overall distance between the line and the actual data points.

When plotting data points on a scatterplot, the regression line is used to approximate the trend or pattern in the data. It helps in understanding the relationship between the independent variable (usually denoted as "x") and the dependent variable (usually denoted as "y"). The goal is to find a line that is as close as possible to all the data points, capturing the general trend or direction of the relationship.

The line of best fit is determined by using a statistical technique called regression analysis. This technique calculates the optimal values for the slope and intercept of the line based on the data. The most common method for fitting a regression line is known as ordinary least squares (OLS), which minimizes the sum of the squared differences between the observed data points and the predicted values on the line.

By fitting a regression line, we can make predictions or estimations about the dependent variable based on the values of the independent variable. The line of best fit provides a visual representation of the relationship between the variables and allows for easier interpretation and analysis of the data.

It's important to note that the line of best fit is an estimation based on the given data, and it may not perfectly pass through every data point. However, it provides a useful summary of the overall trend and can be used for making predictions or drawing conclusions about the relationship between the variables.

Therefore, the correct answer is "line of best fit." A regression line is also called the line of best fit as it represents the best approximation of the relationship between the independent and dependent variables in a scatterplot.

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Answer:

\(\huge\boxed{\sf tan \theta = 2.5}\)

Step-by-step explanation:

In the figure,

Hypotenuse = 26.9 cm

Opposite = 25 cm

Adjacent = 10 cm

We know that,

tan θ = 25 / 10

\(\rule[225]{225}{2}\)

Answer:  tanФ = perpendicular ÷  base.  hence, tanФ = 25÷10  

= 2.5.

Step-by-step explanation:   According to the triangle ,

perpendicular= 25

base = 10.

tanФ = perpendicular ÷ base.

tanФ = 25÷10

tanФ = 2.5.

Answer:

There is a total of 100 pages filled with discs.

Step-by-step explanation:

To find the number of pages filled with compact discs, we need to subtract the percentage of empty space from 100% to determine the percentage of space occupied by the discs. Then we can calculate the number of pages based on the given information.

Percentage of space occupied by discs = 100% - 83% = 17%

Since each page of the album holds 9 compact discs, we can find the number of pages filled by dividing the total number of discs by the number of discs per page:

Number of filled pages = (Total number of discs) / (Number of discs per page)

Total number of discs = 900

Number of discs per page = 9

Number of filled pages = 900 / 9 = 100

Therefore, there are 100 pages filled with compact discs in the album.

Hope i helped :))

Answer:

5 ham sandwiches

Step-by-step explanation:

To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.

While this method isn't always very efficient, it worked pretty well for this case!

Therefore, the answer is 5 ham sandwiches.

Answer:

5

Step-by-step explanation:

11 and 5 have a 6 number gap between them 5 plus 11 gets you 16

Answer:Median=7.42

Mean=7.61

Step-by-step explanation:

Answer:

yo mama

Step-by-step explanation:

Answer:

48 to 36= 4 to 9

56 to 35=8 to 5

1 to 2=

44:99=4 to 9

30:65=

17 to 51=

9:7

Answer:

C

Step-by-step explanation: