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This graph shows a proportional relationship.

What is the constant of proportionality?

Enter your answer as a ratio in simplified form by filling in the boxes.

The number 59 in the equation y = 59 + 6x represents the y-intercept of the equation.

The y-intercept is the point at which the line of best fit (in this case, the line representing the relationship between time spent on homework and quiz scores) crosses the y-axis. In other words, it is the value of y when x = 0.

In this equation, when x = 0, y = 59, which means that even if a student spends 0 hours on homework that week, their expected quiz score would be 59. This value could represent a baseline score or an average score for students who spend no time on homework.

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The values of A and B are 1 , 5 from the given equation y=2x+1.

What is linear Equation ?

linear equation can be defined as the equation in which the highest degree is one .

Given Equation ,

y = 2x+1

The values of x are -1,0,1,2,3

The values of y are -1,A,3,B,7.

put x= 0 and y = A in the equation

we get,

A = 2*0 + 1

A =1

put x = 2 and y = B

we get,

B = 2*2 +1

B = 4+1

B = 5

Hence, The values of A and B are 1 , 5 from the given equation y=2x+1.

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The solutions to the given absolute value equation as required in the task content are; x = 3 and x = -8.

It follows from the task content that the given absolute value equation which is to be solved for the value of x as required is; | 2x + 5 | = 11.

Hence, the equation can be solved as;

2x + 5 = 11

2x = 11 - 5; 2x = 6

x = 3

OR

2x + 5 = -11

2x = -11 - 5

2x = -16

x = -8.

Ultimately, the possible values of x which represents the solution to the absolute value equation are; x = 3 and x = -8.

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The slope of y = -1 is m =  zero.

Now, According to the question:

What is slope and example?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

So,

We define slope as :

[tex]m = \frac{y_1-y_0}{x_1-x_0}[/tex]

In a constant function as given :

y = -1

We have,

[tex]y_1=y_0=-1[/tex]

And then,

[tex]m = \frac{-1-(-1)}{x_1-x_0}[/tex]

[tex]m = \frac{0}{x_1-x_0}[/tex]

m = 0

Hence, The slope of y = -1 is zero.

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Answer: f(x)=-3x+2

Step-by-step explanation:

Answer:

i d k

Step-by-step explanation:

An isosceles trapezium is a trapezium in which the non-parallel sides are equal in measure

There are various formulae for isosceles trapezoid area:

Given are the bases a,b, and height h: A = (a + b) * h / 2

Given the bases a,b, and c, determine h using the Pythagorean Theorem (h is the square root of c2 – (a-b)2/4) and A = (a + b) * h / 2

Given are the bases a,b, and angle: h = tan() * (a-b)2 / 4, then A = (a + b) * h / 2.

Given: base a, leg c, and angle If h is defined as c * sin() and b is defined as a – 2 * c * cos(), then A = (a + b) * h / 2

An isosceles trapezoid (also known as an isosceles trapezium by the British; Bronshtein and Semendyayev 1997, p. 174) is a trapezoid with identical base angles on both the left and right sides.

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The expanded form for given expression y(3.05x−3.75​)−2.25y will be in form of a linear equation = 3.05yx - 6y.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now

By Solving y(3.05x−3.75​)−2.25y

=3.05yx -3.75y - 2.25y

=3.05yx - 6y

Hence,

            expanded form will be in form of a linear equation = 3.05yx - 6y.

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The area of the lateral surface of the net Christine is using to create a triangular prism is about 42.8 cm²

A triangular prism is a polyhedron that has three rectangular faces, joined head to head together to form a closed loop, to which are attached two triangular faces on their sides.

The dimensions of the triangular prism are;

Dimensions of the lower right triangle; 7 cm, 2 cm

Width of the slant surface = 2 cm

Taking the length of the rectangular slant surface as the length of the hypotenuse side of the right triangle above, and using Pythagorean Theorem to find the length, we get;

The square of the length of the hypotenuse of the right triangle = 7² + 2² = 53

Length of the hypotenuse of the right triangle with side lengths of 2 cm and 7 cm = √(53) cm

Length of the side of the rectangular slant surface of the triangular prism = √(53) cm

Area of a rectangle = Length × Width

Area of the upper rectangular slant surface of the prism = √(53) × 2 ≈ 14.6

The lateral surface area, A, of the figure is therefore;

A = Area of the two right triangles + Area of the two rectangles

Area of a triangle = (1/2) × Base length × Height

A = (1/2) × √(53) × 2 + (1/2) × 7 × 2 + √(53) × 2 + 7 × 2 ≈ 48.8

The area of the lateral surface of the triangular prism is about 42.8 cm²

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The variables on one side of the equation must be brought together, and the numbers on the other side must be brought together, in order to solve an equation with the same variable on both sides.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

What makes an equation linear?

When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.

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Positive distances are those measured in the direction of the incident ray, and negative distances are those recorded in the opposite direction.

An object's distance is determined by its total velocity, regardless of direction.

Regardless of where it started or ended, distance is the amount of space that an object has covered.

We can determine an object's true size by knowing how far it is from us.

Always situate the subject to the left of the lens.

In the mirror, there is a pole from which the distances are calculated.

Distances that are measured in the direction of the incident ray are positive, whereas distances that are measured in the opposite direction are negative.

Therefore, positive distances are those measured in the direction of the incident ray, and negative distances are those recorded in the opposite direction.

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Answer:

x = 144

Step-by-step explanation:

300 = x + [tex]\frac{1}{2}[/tex]x + [tex]\frac{1}{3}[/tex]x + [tex]\frac{1}{4}[/tex]x

300 = [tex]\frac{12}{12}x+\frac{6}{12}x+\frac{4}{12}x+\frac{3}{12}x[/tex]

300 = [tex]\frac{25}{12} x[/tex]

[tex]x=(300)(\frac{12}{25} )[/tex]

x = 144

To check if the answer is right:

300 = 144 + [tex]\frac{1}{2}[/tex](144) + [tex]\frac{1}{3}[/tex](144) + [tex]\frac{1}{4}[/tex](144)

300 = 144 + 72 + 48 + 36

300 = 216 + 84

300 = 300

Answer:

s = 17

Step-by-step explanation:

Solve for s

2(s − 9) = 16

Divide each side by 2

2/2(s − 9) = 16/2

s-9 = 8

Add 9 to each side

s-9+9 = 8+9

s = 17

Answer: s=17

Step-by-step explanation:

2(s-9)=16

2s -18=16

     +18 +18

2s=34

/2    /2

s= 17

Using the distributive property you need to get 's' by itself so you can solve it.

The perimeter of the rectangle is given by 4x+2.

The area of a rectangle is given by the formula A=l*w where l is the length and w is the width. In this case, the area is given by the equation x^2 + x - 6. To find the perimeter of the rectangle, we need to know the length and width. However, since the area is represented by an equation, we do not have a specific value for the length and width. The given equation x^2 + x - 6 is a quadratic equation which can be factorised as (x-2)(x+3). So, we can't find the length and width without the value of x. To find the perimeter of a rectangle we use the formula P=2(l+w). If we know the value of x, we can find the perimeter of rectangle. But, as we don't have the value of x, we can't find the perimeter of the rectangle

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Complete question:

Given a rectangle If its area is x² + x – 6, what is the perimeter of the rectangle .

Answer:

11000

Step-by-step explanation:

1 meter = 1000 millimeter

11x1000

11000

Answer:

Step-by-step explanation:

11,000

for each single Meters its a thousand Millimeters

The circumference of the circle is 40.84cm.

What is the circumference of the circle?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.

Here, we have

Given:  the diameter of a circle is 13 cm.

We have to find the circumference of the circle.

C = 2.π.r

where,

r is the radius of the circle.

r = diameter/2

r = 13/2

r = 6.5

then,

C = 2.π.6.5

C = 40.84cm

Hence, the circumference of the circle is 40.84cm.

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The median of the list 2/3, 3/5, 5/7, 7/11, 11/13 is 2/3.

Here we are given the list 2/3, 3/5, 5/7, 7/11, 11/13

Now taking the LCM to convert them to equivalent fractions will give us

10010/15015, 9009/15015, 10725/15015, 9555/15015, 12705/15015

arranging this in ascending order we get

9009/15015, 9555/15015, 10010/15015, 10725/15015, 12705/15015

Hence the order will be

3/5, 7/11, 2/3, 5/7, 11/13

Here we have 5 terms. Hence the formula for the median will be

{(n+1)/2}th term

{6/2)th term

= 3rd term

= 2/3

The median of the list 2/3, 3/5, 5/7, 7/11, 11/13 is 2/3.

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Complete Question

what is the median of the list 2/3, 3/5, 5/7, 7/11, 11/13?

If the mean number of people who attended three basketball games was 8,242, that means the sum of the number of people who attended all three games is equal to 8,242 multiplied by the number of games, which is 3.

What does math mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Total attendance = mean attendance * number of games

Total attendance = 8,242 * 3

Total attendance = 24,726

So the total attendance at the three games is 24,726 people.

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The correct answer for the given questions is 26.82 km and 780.372 km respectively.

4. To find the distance between the ship and the buoy at the time of each sighting, we can use the principle of non-collinearity of the ship, buoy, and observer.

Let x be the distance between the ship and the buoy at the time of the first sighting and y be the distance between the ship and the buoy at the time of the second sighting.

The angle of bearing from the ship to the buoy is S46°E, which is equivalent to (180 - 46) = 134° from the North.

The angle of bearing from the ship to the buoy at the second sighting is S12°E, which is equivalent to (180 - 12) = 168° from the North.

Therefore, the angle between the two lines of bearing is 168 - 134 = 34°.

Thus, 15/x= tan 34°

=> x= 15/tan 34°

=>x= 22.28 m

And, 15/y= sin 34°

=> y= 15/sin 34°

=> y= 26.82 km

5. To find the direct distance from the helicopter to the landing port, we can use the tangent function.

Let d be the direct distance from the helicopter to the landing port.

The angle of depression is 64°, and the altitude of the helicopter is 1600 meters.

tan(64) = 1600/d

d = 1600 / tan(64) = 780.372 km

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Answer: 20/12 and 4/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:The quadratic equation here in terms of the variable c is given by: Now on subtracting 15 from both the sides of the equation we have: Hence, on comparing the equation with: we have: Now on taking the square root on both the sides of the equation we have: Advertisement. cheyennebaesa41. T^2 - 49 =0. t^2=49.

Step-by-step explanation:

The given system of equations have infinitely many solutions.

The given system of equations are:

5y = 15x - 40  or  y = 3x - 8 ....... (1)

y = 3x - 8 ........... (2)

We know that if the slopes of 2 system of equations are same but their y - intercept are different then it has no solution, if the slopes are same and the y-intercept are also same then it has infinitely many solutions, and if the slopes are different then it has a unique solution.

When we observe the given system of equations and compare it with the general form y = mx + c, we can conclude that both the equations have same slope, that is, 3 and same y-intercept, that is, -8.

Hence, the given system of equations have infinitely many solutions.

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The size of each group would be half as big. That means there would be half.

The correct answer choice is option A

3 1/5 ÷ 4/5

= 16/5 ÷ 4/5

multiply by the reciprocal of 4/5

= 16/5 × 5/4

= 4

If 3 1/5 ÷ 8/5

multiply by the reciprocal of 8/5

= 16/5 × 5/8

= 2

Therefore, the model would be half if you divide by 8/5 instead of 4/5

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The inverse of (- 2 . 3 ) is (1 / - 2.3 ).

In mathematics, the inverse of a number refers to the concept of taking its reciprocal; for instance (2 . w ) results in its reciprocal as ( 1/ 2. w ). When a number is multiplied by its inverse the result yields 1, meaning that the product of the number and its inverse, i.e. reciprocal always equals 1.

As per the given number which is (-2.3) and its inverse is ( 1 / -2.3 ), when these two numbers are multiplied together they result in 1. Such as:

(-2.3) x ( 1 / -2.3 ) = 1

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A term is a constant, a variable, or a number-variable product.

In algebra, a symbol (usually a letter) used to indicate an unknown numerical value in an equation or algebraic statement. A variable is a quantity that is changeable rather than fixed. In mathematics, a variable is an alphabet or phrase that represents an unknown amount, unknown value, or unknown number. Variables are very useful in algebraic expressions or algebra. As an example, the variables x and 9 are constants in the linear equation x+9=4.

A term can be a number, a constant, a variable, or the product of a number and a variable in this context.

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D). The survey is both reliable and valid which means the survey is consistent.

Reliability is the consistency of the results, so if the survey and observation scores are close together, then the survey is reliable. In this case, the scores on the survey and the observations were very close for all three participants, suggesting that the survey is reliable.

Validity is the accuracy of the results, so if the survey and observation scores accurately reflect the true quality of the mother-child relationship, then the survey is valid.

In this case, the scores for all three participants were within the range of 10-50, which suggests that the scores from the survey accurately reflect the true quality of the mother-child relationship and are therefore valid.

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Scatter plot is best for analyzing relationship between two variables.

What is scatter ?

In statistics and data visualization, a scatter plot (also called a scatter graph or scatter chart) is a type of graph used to display the relationship between two sets of data. It is a two-dimensional plot that uses Cartesian coordinates to display values for typically two variables for a set of data.

A scatter plot is a graph that uses dots to represent values for two numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are a useful tool for visualizing the relationship between two variables, such as how changes in one variable may be associated with changes in another variable.

Scatter plots can show the following types of relationships:

Positive correlation: as one variable increases, the other variable increases.

Negative correlation: as one variable increases, the other variable decreases.

No correlation: there is no relationship between the two variables.

Non-linear relationship: the relationship between the two variables is not linear.

Scatter plot is best for analyzing relationship between two variables.

Complete Question: Which of the following types of graph is the best kind to use for analyzing how two variables are related?

Line Graphs, Bar Graphs, Pie Charts, Scatter Plots

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There are 34560 ways can the 11 animals be placed in a row of 11 cages, such that all of the animals of each type are in adjacent cages.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

As per the question, the happy valley kennel has 4 chickens, 2 dogs, and 5 cats.

Now calculate the number of ways in which the animals are placed in a row in the adjacent cages is:

=4!*2!*5!*3!=4*3*2*1*2*15*4*3*2*1*3*2*1=34560 ways

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What are the term associated with set?

Now, According to the question:

Let's know:

What are Sets?

A set is a well-defined collection of objects. Sets are named and represented using a capital letter. In the set theory, the elements that a set comprises can be any kind of thing: people, letters of the alphabet, numbers, shapes, variables, etc.

Any collection of objects (elements), which may be mathematical (e.g., numbers and functions) or not. A set is commonly represented as a list of all its members enclosed in braces. The intuitive idea of a set is probably even older than that of number.

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