James earns 20 allowance every month and 30 for each a on his report card

PART A- Identify the independent and dependent variables

PART B- Write a function that describes the situation
f(x)

The length of a leg of an isosceles right triangle can be found using the concept of Pythagoras' theorem by the formula sqrt (hypotenuse ^ 2 / 2) = x.

Since, two sides of an isosceles triangle are equal, let us consider the two equal sides as 'x' and let the hypotenuse of the triangle be 'h'.

Being a right triangle, by Pythagoras' theorem,

h ^ 2 = x ^ 2 + x ^ 2

h ^ 2 = 2x ^ 2

Hence, we can find the length of a leg of an isosceles triangle by:

sqrt (h ^ 2 / 2) = x

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The domain and scope of the identity function are the same. Equation for the identity function is  f(x) = x, or y = x.

An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable). A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.

identity function are the same.

Equation for the identity function is

f(x) = x, or y = x.

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Answer:

I think it's a vertical line.

The fractional notation ¾ is equal to 0.75.

â…” is a fractional notation that refers to the fraction 3/4, which is equal to 0.75. To understand this fraction, the denominator (bottom number) must be multiplied by the numerator (top number). In this case, 4 multiplied by 3 is equal to 12. Then, divide the numerator by the denominator to find the fractional value. In this example, 3 divided by 4 is equal to 0.75, which is the same as 3/4.

The formula for finding a fractional value is:

Fractional Value = Numerator / Denominator

To calculate the fractional value of 3/4, the numerator is multiplied by the denominator to get 12. Then, the numerator is divided by the denominator to get the fractional value:

Fractional Value = 3 / 4

Fractional Value = 3 * 4 / 4

Fractional Value = 12 / 4

Fractional Value = 0.75

Therefore, the fractional notation ¾ is equal to 0.75.

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The correct spelling are of the following words is Caucion :caution ,Isle :aisle and Cents :sents

The scent of her perfume is the signifier, and the feminine and romantic association she makes with the scent is the signified.

In linguistics, the concepts of signifier and signified are seen in Saussure's theory of the sign. A sign is formed by the pair signifier/signified. Signifier is a word, an image, anything that has a material form. Signified is the meaning attributed to the signifier by an individual. That means the same signifier can have different signifieds according to the each person. For Mary, the signifier "floral perfume" presents as its signified the "feminine and romantic" feeling. To a different person -  myself, for instance -, a floral perfume does not have the same meaning. I do not see it as romantic or feminine. Instead, because the sweet smell gives me a headache, that has become my signified for it.

The stationary section is on isle 14, one row over from the perfumes and cents.

Hence Caucion :caution

Isle :aisle

Cents :sents

the complete question is

Correct the misspellings in these sentences.

Please use caucion when entering this area as the floor can be slippary.

The stationary section is on isle 14, one row over from the perfumes and cents.

Hence Caucion :caution

Isle :aisle

Cents :sents

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The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10

The general form of the equation of a Line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, we are told that;

Amount charge by Winter Wonderland per child = $0.50

We are told that there is a separate entrance fee.

Amount of times todd sled down the hill = 16 times

Amount paid by todd = $18

Thus, using the slope intercept form, we have;

18 = 0.5(16) + b

18 = 8 + b

b = 10

Thus, the equation of this amount to be paid in slope intercept form is;

y = 0.5x + 10

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To solve the system of equations using substitution method for three variables minimum three equations are required using following steps:

1. Get the value third variable in form of other two and substitute in other two equations.

2. Now get the value of second variable in first variable and get the value of all three variables.

Let us consider three system of equations in three variable are :

x + y + z = 0   __(1)

2x + 3y + z = 2 __(2)

3x + 2y + 2z = 1  ____(3)

Get the value of z in form of x and y from (1) and substitute in (2) and (3)

z = -(x + y)

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

⇒x +2y = 2   __(4)

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

⇒3x + 2y -2x -2y =1

⇒x = 1

Now substitute in (4)

1 + 2y = 2

⇒ y = 1/2

Now substitute the value of x and y in (1)

z = - ( 1 + 1/2)

⇒z = -3/2

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Answer:

C -3/2

Step-by-step explanation:

The slope is the change in y over the change in x.  You find the change by subtracting

The y's are -4 and 5 (-2,5) (4,-4)

The x's are 4 and -2 (-2,5) (4,-4)

[tex]\frac{-4 -5}{4 - -2}[/tex] = [tex]\frac{-9}{4+2}[/tex]  Subtracting a negative is the same as adding a positive

[tex]\frac{-9}{6}[/tex]  Divide the numerator and denominator by 3

[tex]\frac{-3}{2}[/tex]

Answer: 40 glasses of syrup

Step-by-step explanation:

Mode is the most common value in the dataset.

'5 more than' means that a number is 5 units greater than the original number, using the concept of addition.

Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the mathematical expression "3 + 2 = 5" (that is, "3 plus 2 is equal to 5").

Besides counting items, addition can also be defined and executed without referring to concrete objects, using abstractions called numbers instead, such as integers, real numbers and complex numbers. Addition belongs to arithmetic, a branch of mathematics. In algebra, another area of mathematics, addition can also be performed on abstract objects such as vectors, matrices, subspaces and subgroups.

Now, let us understand the meaning.

Let the original number be x.

'5 more than a number' implies x + 5.

This means that the new number, x + 5, is greater than the original number, x, by 5 units. We also have to keep in mind, [tex]x + 5 > x[/tex].

Hence, the final meaning is 5 units greater than the original number.

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Answer:

b

Step-by-step explanation:

both sides withdrew

The equation of line with slope 1/3 and intercept 5 is y = 1/3 x + 5.

The general equation of a straight line is y = mx + c, where m is the gradient or slope, and y = c is the value where the line cuts the y-axis. This number c is called as intercept.

According to the questions,

slope = m = 1/3

and

y-intercept = c= 5

We know that,

The general equation of a straight line is y = mx + c

y = 1/3 x+ 5

The required equation of a line is y = 1/3 x+ 5

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The two equations are 1.5x+1.25y = 30 and x+y = 22 and values of x and y are 10 and 12 respectively.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Davin is raising money for a school trip by selling candy bars and packs of cookies. The price of each candy bar is $1.50 and the price of each pack of cookies is $1.25. Yesterday, Davin made $30 from selling a total of 22 candy bars and packs of cookies.

Let x represent the number of candy bars sold, and y be the number of pack of cookies sold,

Establishing the equations,

1.5x+1.25y = 30

x+y = 22

Solving the equations, we get.

x = 10 and y = 12

Hence, the number of candy bars sold 10 and the number of pack of cookies sold is 12

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3 methods used to calculate volume are-

Every physical object takes up space, and you may determine the volume of some of these by counting their individual parts. The volume of objects with straightforward shapes, such as cones, rectangular prisms, sphere, and cylinders, can be determined using this method most easily.

The definition of density is the mass of an object per unit of volume. Therefore, using the equation: If you understand the object's density and can weigh it, you can calculate its volume.

volume = weight / density

You might not be able to precisely gauge an object's physical dimensions if it has an unusual shape.

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Variance's square root is always the standard deviation. √25 thus equals 5.

Saying that the median is 7, the mode is 2, and the variance is squared does not make much sense.

However, it makes sense to state that the data's median, mode, and standard deviation are 7, 2, and 4, respectively.

Thus,

√25 = 5.

Variance's square root is always the standard deviation.

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The ranked probability score (RPS) is a metric used to assess how well predicted events match probability distributions.

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When the original graph is mirrored around the line y = x, the inverse function's graph may be determined, the domain of the inverse, f-1(x), corresponds to the range of the original function (x), the x intercept of f-1(x) is the y intercept of f, and the range of the inverse f-1(x) is the domain of f(x) (x).

The intercept theorem, also referred to as Thales' theorem, the basic proportionality theorem, or the side splitter theorem, is a crucial concept in basic geometry that discusses the ratios of different line segments that are produced when two intersecting lines are intercepted by a pair of parallels.

It is equivalent to the ratios in similar triangles theorem. It is typically credited to the Greek mathematician Thales. Despite the fact that its first known demonstration may be found in Euclid's Elements, it was known to the ancient Babylonians and Egyptians.

Similarity and the intercept theorem go hand in hand. It is equivalent to the idea of similar triangles in that it may be used to demonstrate both the qualities of similar triangles and the intercept theorem.

Hence, When the original graph is mirrored around the line y = x, the inverse function's graph may be determined, the domain of the inverse, f-1(x), corresponds to the range of the original function (x), the x intercept of f-1(x) is the y intercept of f, and the range of the inverse f-1(x) is the domain of f(x) (x).

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Answer:

A' = (1, -1)

B' = (2, 1)

C' = (4, 0)

D' = (3, -4)

Step-by-step explanation:

don't speak this language. however, I assume it says translate the quadrilateral by the column vector.

A = (-4, 3)  ∴  A' = (1, -1)

B = (-8, 5)  ∴  B' = (2, 1)

C = (-1, 4)  ∴  C' = (4, 0)

D = (-2, 0)  ∴  D' = (3, -4)

Answer:

Surface area: 502 ft^2

B) Volume
C) Surface area

Step-by-step explanation:

Surface area Formula: 2(lw + wh + lh) = 2(13*15+15*2+13*2)= 502 ft^2

B) Volume because it's asking how much it can hold
C) Surface area because it's asking like how much paint should Cover the thing, not how much it can hold

3x - 5y=-9 has a [tex]\frac{-3}{5}[/tex] slope.

A line's steepness can be determined by looking at its slope. To find the slope of a line, you need to have the equation of the line in the form y = mx + b, where m is the slope and b is the y-intercept (the point at which the line crosses the y-axis).

To put the equation 3x - 5y = -9 in this form, you can start by isolating the y term on one side of the equation:

3x - 5y = -9

-5y = -3x - 9

y = (-3/5)x - (9/5)

The slope of the line is therefore -3/5.

The complete question is:-

What is the slope of 3x - 5y =- 9?

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Answer:

A = πx² cm²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius)

Given circumference C = 2πx , and C is calculated as

C = 2πr , then equating gives

2πr = 2πx ( divide both sides by 2π )

r = x

Then

A = πr² = πx² cm²

When plotting an inequality on a graph, treat the <, ≤, >, or ≥sign as an equals sign.

Treat the <, ≤, >, or ≥ sign as a = sign when putting an inequality on a graph.

Graph the equation as a dotted line if the inequality is either < or >. 

Graph the equation as a solid line if the inequality is either ≤ or ≥.

How to Graph Linear Inequalities: Steps

(A) Always begin by separating the variable y from the inequality's left side.

(B) Symbolizing equality instead of inequality is step two.

(C) In the X, Y, XY, XY plane, graph the boundary line from step 2.

(D) The final step is to shade a portion or one side of the borderline.

Therefore, when plotting an inequality on a graph, treat the <, ≤, >, or ≥sign as an equals sign.

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Answer:

between 1 and 10 percent

The inequality that can be used to determine v, the minimum number of visits Joshua needs to earn his first free movie ticket is 5.5v + 60 ≥ 245

The minimum number of visits Joshua needs is approximately 34 visits.

5.5v + 60 ≥ 245

Subtract 60 from both sides

5.5v ≥ 245 - 60

5.5v ≥ 185

divide both sides by 5.5

v ≥ 185 / 5.5

v ≥ 33.63636363636363

Approximately,

v ≥ 34

Therefore, the minimum number of visits Joshua needs to earn his first free movie ticket is approximately 34 visits

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To graph the equation y= −4/5x on the coordinate plane, we can plot two points that satisfy the equation and then draw a straight line through those points. For example, we could choose the points (-1, 4/5) and (2, -8/5), which both satisfy the equation. To plot these points, we first locate the point (-1, 4/5) on the coordinate plane. This point is 1 unit to the left of the y-axis, and 4/5 units above the x-axis. We can then draw a straight line through this point and the point (2, -8/5), which is 2 units to the right of the y-axis and 8/5 units below the x-axis. This line will be the graph of the equation y= −4/5x.

Here is a visual representation of the process:

 (0,0)

  |

  |

  |

  |     (2, -8/5)

  |     *

  |

  |     (1, 4/5)

  |     *

  |

  |

  |

  |

  +-----------------------------------> (x, y)

Answer:

No, they are not the same

Step-by-step explanation:

Mean is simply the average sum of data. When Standard deviation is obtained from the average of the square of data

The measure of the angle when a cannonball is shot will be 60°.

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

A cannonball is shot with a speed of 90 m/s. Assuming its upward speed at the highest point of its curve is 0 m/s and the flat speed at the highest point of its bend is 45 m/s.

We know that in projectile motion, the horizontal velocity does not change.

Let 'x' be the angle it shot. Then the cosine of the angle x is the ratio of horizontal velocity to the resultant velocity when it is shot. Then we have

cos x = 45 / 90

cos x = 1/2

cos x = cos 60°

x = 60°

The proportion of the point when a cannonball is shot will be 60°.

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Reflection is the act of flipping a figure over a line. The act of rotating involves turning a figure a predetermined distance around a point. And hence, reflection and rotation is not the same.

In mathematics, a reflection is an isometric mapping from a Euclidean space to itself with a set of fixed points called the hyperplane, also referred to as the axis or plane of reflection.

The image created by a reflection is the figure's mirror image in the axis or plane of reflection.

Rotation:

The concept of rotation in mathematics has its roots in geometry.

Any rotation is a movement of a certain area while maintaining at least one point. It may be used to describe, for instance, how a rigid body moves around a fixed point.

So, we can say that flipping a figure over a line is called reflection. Rotation is the process of turning a figure a specific amount around a point.

Therefore, reflection is the act of flipping a figure over a line. The act of rotating involves turning a figure a predetermined distance around a point. And hence, reflection and rotation are not the same.

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The idea is to sort the array in descending order and then return the second element which is not equal to the largest element from the sorted array.

In order to have as few implementation dependencies as feasible, Java is a high-level, class-based, object-oriented programming language.

// Java program to find second largest element in an array

import java.util.*;

class GFG{

// Function to print the

// second largest elements

static void print2largest(int arr,int arr_size)

{

int i, first, second;

// There should be

// atleast two elements

if (arr_size < 2)

{

  System.out.printf(" Invalid Input ");

  return;

}

// Sort the array

Arrays.sort(arr);

// Start from second last element

// as the largest element is at last

for (i = arr_size - 2; i >= 0; i--)

{

  // If the element is not

  // equal to largest element

  if (arr[i] != arr[arr_size - 1])

  {

   System.out.printf("The second largest " +

                      "element is %d\n", arr[i]);

   return;

  }

}

System.out.printf("There is no second " +

                  "largest element\n");

}

// Driver code

public static void main(String[] args)

{

int arr[] = {12, 35, 1, 10, 34, 1};

int n = arr.length;

print2largest(arr, n);

}

}

The idea is to sort the array in descending order and then return the second element which is not equal to the largest element from the sorted array.

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Answer: quotient deals with addition and times deal with multiplication

12/(n*4+1)