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What is Constant of Proportionality?

The ratio between two proportional quantities' constant values is known as the constant of proportionality.

The formula for calculating slope is expressed as:

m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Given: the coordinate points (5,225) and (3, 135). The constant of proportionality is expressed as:

m =  [tex]\frac{135-225}{3-5}[/tex]

m = [tex]\frac{-90}{-2}[/tex]

m = 45

Hence, Constant of Proportionality is 45.

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a. Drawn a complete graph in the attachment. (32,-29) is a point on this graph.

A graph is a mathematical diagram that shows the correlation between two or more sets of numbers or measurements. It is a diagram that shows the relationship between various sets of numbers or quantities using a series of dots, lines, etc., plotted in reference to a set of axes.

a. Using rule y = 3-x

When x = 3

y = 3-(4)

y = -1

A(4, -1)

Using rule y = 3-x

When x = 2

y = 3-(2)

y = 1

B(2, 1)

Using rule y = 3-x

When x = -2

y = 3-(-2)

y = 5

C(-2, 5)

b. Lets put (32,-29) on the rule

-29 = 3 - 32

-29 = -29

Thus, (32,-29) is a point on this graph

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Yes , i agree with Rosa in linear equation.

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.Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.

3/4 is equal to 0.75 and 0.75 > 0.25

Or 0.25 is equal to 1/4,

and 1/4 < 3/4

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Answer: 30.48

Step-by-step explanation:

2.54x12=30.48

The height of the totem tree after solving the equation is 1/6 units

An equation is an expression that shows how numbers and variables relate with each other.

Mathematical operations include addition, subtraction, division and multiplication. Mathematical operations are used in equations

Let h represent the height of the totem pole.

Ronald carved 3/3/8 of a totem pole. he says that the totem pole is 3/4 completed. Hence:

(3/4)h = 3÷3÷8

(3/4)h = 3 * (1/3) * (1/8)

(3/4)h = 1/8

Cross multiplying gives:

h = (4 * 1)/(3 * 8)

h = 1/6

The height of the tree is 1/6 units

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it is 57 understand the way is down there

Step-by-step explanation:

j

k

h

a

h

a

The missing length of the right-angle triangle will be 6x - 3.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The perimeter of the triangle is determined by adding together all of its sides.

The third side of the triangle is given as,

11x - 6 = H + 4x + 2 + x - 5

H = 11x - 6 - 4x - 2 - x + 5

H = 6x - 3

The missing length of the right-angle triangle will be 6x - 3.

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The complete question is given below.

A. The range of the function y = 3x - 2, considering the domain {-1, 2,4}, is given as follows:

Range: {-5, 4, 10}.

B. The set of ordered pairs that represent the function is given as follows:

{(-1,-5), (2,4), (4,10)}

The function for this problem is given as follows:

y = 3x - 2.

The domain of the function is given as follows:

{-1, 2,4}.

The range of the function is composed by the numeric values of the function assumed for these input values.

The numeric values of the function are found replacing the lone instance of x by their input values, as follows:

Hence the range is the set composed by -5, 4 and 10.

An ordered pair has the following format:

(x,y).

In which y is the numeric value of the input x.

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Therefore , the solution of the given problem of parallel line comes out to be   MP =22.

Geometry refers to parallel lines as beams, straight lines that never overlap. Parallel planes are those that never cross each other while occupying the same three-dimensional space. Curves which are equal with each other and keep a predetermined minimum separation from one another must not overlap or intersect. Parallel lines on a plane are those that always have the same distance between them. A parallel line cannot be crossed. Perpendicular lines are those that intersect directly at a 90 degree angle.

Here,

Given :  PQ || MN

=> PQ =MP+2

=> PO = 12 , MN = 12

So,

=> PO + MN = 12 + 12

=> PQ = 24

=> PQ = MP +2

=>24 = MP +2

=> MP =22

Therefore , the solution of the given problem of parallel line comes out to be   MP =22.

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(2x + 3)(x - 1) = 0
x = (-b ± √(b^2 - 4ac))/ 2a, where a = 2, b = 12, and c = -3.
2x^2 + 12x = 3
(6/2)^2 = 9
2x^2 + 12x + 9 - 9 = 3 - 9
factor out the 2x^2 + 12x + 9 = 0

Answer: 6 or 7 square inches

Step-by-step explanation:                                                                                   Chicks need enough space under the brooder so that they can keep warm without crowding, piling up or smothering. Under normal conditions, each replacement chick needs about 6 or 7 square inches of brooder space

Answer:

B

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{4}{5}[/tex] x + 1 ← is in slope- intercept form

with slope m = [tex]\frac{4}{5}[/tex] and y- intercept c = 1

Note that the number of students, in a dass of 35, who improve their score from the first midterm to the second midterm is a discrete variable.

A discrete variable is one that can only have particular, unique values and cannot have any other values in between. The number of students who increase their score is a whole number that can only take on specific values (e.g., 0, 1, 2, etc.), indicating that it is a discrete variable.

A quantitative variable in mathematics and statistics can be continuous or discrete depending on whether it is normally obtained by measuring or counting. The variable is continuous in that interval if it can take on two specific real values while simultaneously taking on all real values between them.

Thus, it is correct to state that the number of students, in a dass of 35, who improve their score from the first midterm to the second midterm is a discrete variable.

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Full Question:

Is the following variable best thought of as discrete or continuous?

The number of students, in a class of 35 , who improve their score from the first midterm to the second midterm

Since one angle measures 18°, and the other angle measures (8x − 28)°, the value of x is equal to 12.5.

In Mathematics, a complementary angle can be defined as two (2) angles or arc whose sum is equal to 90 degrees (90°).

Mathematically, a complementary angle can be calculated by using this mathematical expression:

Q + R = 90°

Where:

Q and R are measure of the angles subtended.

Substituting the given parameters into the complementary angle formula, the sum of the angles is given by;

(8x - 28)° + 18° = 90°

8x - 10 = 90

8x = 90 + 10

8x = 100

x = 100/8

x = 12.5

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Answer:X>=5/2;

Step-by-step explanation:

(6*5/2)+22>7

Answer:

True

Step-by-step explanation:

(6*5/2+22) it gives you the correct amount. You also need to pay attention to the greater then and less than signs so that you don’t get confused.

→ < >

Therefore, this is true

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The probability of selecting the letter C or the coin landing tails up is given by the following option:

3/5.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the table representing the sample space, the number of total outcomes is given as follows:

10.

The desired outcomes are given as follows:

(as the or statement means that at least one of the conditions have to be satisfied, that is, one is enough).

Hence the probability is obtained as follows:

p = 6/10

p = 3/5. (dividing both the numerator and the denominator by 2).

Meaning that the last option is the correct option.

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The volume of the cylindrical pipe in terms of π is 76π ft³.

The volume of the cylindrical pipe using ALEKS calculator is 238.76 ft³.

The radius of a cylindrical construction pipe is 2 ft, and its length is 19 ft. The exact volume of the cylindrical pipe can be found as follows:

The answer is in terms of π.

Therefore,

volume of a cylinder = πr²h

where

Therefore,

volume of the cylindrical pipe =  πr²h

where

volume of the cylindrical pipe =  π × 2² × 19

volume of the cylindrical pipe =  π × 4 × 19

volume of the cylindrical pipe =  76π ft³

Hence, let's approximate the volume of the cylindrical pipe using π in an ALEKS calculator.

Therefore,

volume of the cylindrical pipe = 76 × π = 238.761041673 = 238.76 ft³

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The slope of line exists -2 then the value of x is 12 seconds.

The simplest definition of point-slope form is a line equation expressed using a single line point and the line's slope. The slope is the ratio of the change in the y values over the change in the x values, or the rise over run, and the point form is written as (x, y).

The relationship between x and y is linear because the rate at which the kite is being drawn in is constant. The height reaches 16 feet after 4 seconds, making the point (4, 16) on the line. After 5 seconds, the height is 14 feet since the kite is being dragged in at a rate of 2 feet per second. Therefore, (5, 14) is another point on the line.

slope of line = (16-14)/(4-5) = -2

Using the point-slope form, an equation of the line exists:

y - 16 = -2(x - 4)

y - 16 = -2x + 8

y = -2x + 24

To estimate the original height,

Let x = 0:  y = -2(0) + 24 = 24 feet

The kite hits the ground when y = 0:  

0 = -2x + 24

x = 12 seconds

Therefore, the value of x = 12 seconds.

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On solving the provided question, the equation will be  and the factors - This cannot be determined from the information given

When points on a curve are equally spaced from a fixed point and line, the curve is said to have a parabola as its equation. The parabola's fixed point is referred to as the focus, and its fixed line is referred to as the directrix. Remember that the fixed point is not on the fixed line as well. A parabola is the locus of any point that is equidistant from both a focus and a straight line. A conical curve of interest in coordinate geometry is a parabola.

The equation will be

=> 4x+9 = 20x - 2.3y

x = 989-32y

y = 5.4x - 10

Factors - This cannot be determined from the information given

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Answer: The selling price of a T-shirt would be $107.

Step-by-step explanation: The amount paid by the shopkeeper for the Tshirts would be $2170 ÷ 10 = $217

Since the jeans cost twice as much as the T-shirts, we can multiply the cost of the T-shirts by 2 to find the cost of a pair of jeans: $217 x 2 = $434.

We know that the shopkeeper sold the clothes for more than 20% more than he paid for, i.ee, 100 - 20 = 80.

To find the selling price of a T-shirt, we'll divide the cost of the T-shirts by the markup percentage as a decimal: $217 / (80/100) = $107.

Answer: 204

Step-by-step explanation:

2 goes into 12 six times. 34x6=204

hence, your answer.

Answer:48 counters

Step-by-step explanation:8x3=2, 3x8=24, 24+24+48

Answer: c is correct

Answer:

c

Step-by-step explanation:

Answer:

J: -5,10

K: -5,5
L: -2,1
M: -2,6

Hope I helped<3

In linear equation, 53% is predict has read more pages of their book .

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.

Total pages = 400

Remaining pages to be read after Monday = 400 - 200 = 200

40% of 200 = 200 × 40/100 = 80

Remaining pages to be read after Tuesday = 400 - 80 = 320

600 × x/100 = 320

Let the remaining percentage of pages remain to be read be x,

so, 600 × x/100 = 320

x = 320/6 = 53.33333% = 53%

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Answer:

$7.40

Step-by-step explanation:

The rational function f(x)= x/x+3 is graphed in the figure.

What is rational function?

A rational function is the function which can be expressed in terms of the ratio of p and q.

f(x)= p(x)/q(x)

From the given graph , the vertical asymptote is at x=-3

Now, let's find out the vertical asymptote of each function

In order to find out vertical asymptote, we set the denominator =0

a. f(x)= x/(x+3)

x+3=0

x=-3

b. f(x)= x-3/x

x=0

c. f(x)= x/3

3≠0

d. f(x)= 3/x

x=0

The first function has vertical asymptote at x=-3.

Hence, the first option f(x)= x/x+3 is graphed in the figure.

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The midpoint of the segment joining points (a,b) and (j,k) is, (a+j)/2, (b+k)/2)

The midpoint of the segment joining two points (x1, y1) and (x2, y2) is given by the point ((x1 + x2)/2, (y1 + y2)/2).

So, to find the midpoint of the segment joining the points (a, b) and (j, k), we need to take the average of the x-coordinates and the average of the y-coordinates:

((a + j)/2, (b + k)/2)

So the midpoint of the segment joining points (a,b) and (j,k) is  (a+j)/2, (b+k)/2).

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The season the team scored more consistently will be this season because the Standard deviation is less.

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

Last Season: 10, 3, 20, 27, 35, 17, 20, 13, 17

The mean is given as,

Mean = (10 + 3 + ...... + 17) / 9

Mean = 18

Then the standard deviation is given as,

Standard deviation = [(10 - 18)² + (3 - 18)² + ...... + (17 - 18)²] / 9

Standard deviation = 8.78

This Season: 23, 17, 28, 16, 23, 16, 16, 10, 13

The mean is given as,

Mean = (23 + 17 + ... + 13) / 9

Mean = 18

Then the standard deviation is given as,

Standard deviation = (23 - 18)² + (17 - 18)² + ...... + (13 - 18)²

Standard deviation = 5.29

The season the team scored more consistently will be this season because the Standard deviation is less.

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