1. The graph shows the height of a plant after a certain amount of time measured in days. Do you think that there may be a proportional relationship between the number of days and the height of the plant? Explain your reasoning. The graph shows how much snow fell after a certain amount of time measured in hours. 2. Do you think that there may be a proportional relationship between the number of hours and the amount of snow that fell? Explain your reasoning.

Answer:

In slope intercept form -5y = -4 - 30

Step-by-step explanation:

Slope intercept form is y=mx + b

Rewrite your equation in this form

-10y = -8x - 60

Find GCF (Greatest Common Factor) in this case it is 2

Divide all by 2

-5y = -4x - 30

divide both sides by -5

y = 4/5x + 6

slope = 4/5

Answer:

8

Step-by-step explanation:

so we know the formula of a line  is y=mx+b

1. arrange 8x+10y=60 into y=mx+b format

2. 10y=8x+6

3. we see that 8 = m

4. parallel line NEVER intersect so therefore they have the same slope (whereas perpendicular lines intersect so the slope for a perpendicular line would be -1/8)

Answer: A

Step-by-step explanation:

[tex]\pi > 3 \implies 5\pi > 15[/tex]

The first term of the series such that the sum of the first three terms of the geometric series is 171 is equal to 81.

In this problem we find the sum of three consecutive elements of a geometric series. A geometric series is a set of elements generated by a discrete exponential expression of the form:

y = a · rⁿ ⁻ ¹

Where:

According to the statement, we find the following expression:

a · (2 / 3)² + a · (2 / 3)¹ + a · (2 / 3)⁰ = 171

(4 / 9) · a + (2 / 3) · a + a = 171

(19 / 9) · a = 171

a = 81

Then, the first term of the series is:

y = 81 · (2 / 3)¹ ⁻ ¹

y = 81

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Answer: a

Step-by-step explanation:

We know that [tex]a^2 +b^2 =c^2[/tex]. The left hand side is the same as the sum of the areas of the two green squares, and the right hand side is the same as the area of the one large green square.

The equation for the proportional relationship is 16x-y=0 .

The equation of the line passing through the two points (a,b) and (c,d) is given by

(y-b) = m(x-a), where m is the slope .

In the question ,

Given in the graph that

x represents the number of cups of flour and y represents the number of cookies made .

From the graph we can see that

when 6 cups of flower is used , 96 cookies are made

So, the point on the line is (6,96),

when 12 cups of flower is used , 192 cookies are made

So, the point on the line is (12,192)

hence the line passes through the two points (6,96) and (12,192).

So the slope of the line is

m=(192-96)/(12-6)

m= 96/6

m=16

Substituting the values of a,b, c,d and m in the equation of line formula ,we get

y-96=16(x-6)

y-96 = 16x - 96

16x-y=96-96

16x-y=0

Therefore , The equation for the proportional relationship is 16x-y=0.

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The value of x is 7.82

Following these procedures will help us use proportions to solve challenges in the real world:

1. Set up two ratios comparing the identical quantities using the information from the problem.

2. Create a proportion by setting the ratios equal.

3. To find the proportional unknown, use cross multiplication.

[tex]AB/ AD = TS/ UT[/tex]

[tex]7/ 14.8= 3.7/ x[/tex]

On cross multiplying we get

7x= 54.76

x= 7.822

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Answer:Irrational

Step-by-step explanation:The answer does not end and is infinite.

Answer:

it is irrational number

Step-by-step explanation:

it just is irrational number

Answer: I would use the max as 25

Step-by-step explanation: You use the variables of y, for the numbers os the maximum. so i would be high

The slope of the line passing through  (4,7) and (7, 16) is 3

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run". It is denoted by "m".

Formula, m = rise / run = (y2 - y1) / (x2 - x1)

Given,

(x1, y1) = (4, 7)

(x2, y2) = (7, 16)

Now, put these values in slope (m) formula,

m = (y2 - y1) / (x2 - x1)

   = (16 -7) / (7 - 4)

   = 9/3

   = 3

Therefore, the slope of the line passing through  (4,7) and (7, 16) is 3.

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Answer:

1/1power4

Step-by-step explanation:

=one on one,and there will be a power four on top of the one.

nvm i left

Step-by-step explanation:

Option B picture shows the plan of the given 3D shape and Option I picture shows the side elevation of the given 3D shape.

Plan: When an object is viewed from the top, that section or part is called a plan view of that object.

Options C, G, F, and B- all are viewed from the top: however out of these four only Option B shows the real plan of this given 3D object while others change its dimension and shape.

Elevation: When an object is viewed from one side of the object, that section or part is called an elevation view.

Options D, E, A, and I- all are in elevation view, however, only option I is satisfying and shows the real elevation of a given 3D object.

Therefore, only option B and option I are showing the correct plan and elevation of a given image.

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The interval that describes where the graph of this function is negative is: C. 2 < x < ∞

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Generally speaking, a function is typically used for mapping an input variable to an output variable. In Mathematics, the value of y on the y-axis of a graph must be less than 0 (x < 0) for the graph of any function to be negative.

By critically observing the graph of this function, we can logically deduce that at point x = 2 is where the value of y becomes less than 0 (x < 0) and continues to infinity. Therefore, the graph of this function is negative is at an interval of 2 < x < ∞.

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ok so at first if u have fractions like the first follow my instruction:

1st: u have 2/3---1/2, u will multiply 3 by 1 and 2 by 2 so u will get 6 and 4

but remember that 2/3 and 1/2 u cris cross it the left one comes first like 6 then 4 so it could balance and do the rest of the fractions like that.

2nd: if u have decimal u will check the number after the decimal but if the are the same u will compare the numbers before the decimal.

I hope it's usefull

If a man's taxable income is $35200 and he pays income tax rate of 25%, the amount of income tax payable is $8800

The man's taxable income = $35200

The income tax rate = 25%

The percentage is the hundredth part of any number.

The amount of income tax payable = The man's taxable income ×(The income tax rate/100)

Substitute the values in the equation

The amount of income tax payable = 35200×(25/100)

= 35200×0.25

= $8800

Hence, if a man's taxable income is $35200 and he pays income tax at the rate of 25%, the amount of income tax payable is $8800

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Given,

1 inch = 2.5 feet

∴ Area of garden = ( 5 x 2.5)  x  ( 1.5 x 2.5)  feet

Since, 80% area will be used as path with  crashed rock,

therefore, 12.5 x (1.5 x 2.5)/ 100 x 100 x 10 feet

= 37.5 sq. feet

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Answer: [tex]Y=X-1[/tex]

Step-by-step explanation:

The standard linear equation for the table is expressed as y = mx + b with

m as the slope of the line and b as the y-intercept.

We will use coordinates (2,1) and (3,2) from the table to calculate the slope, m.

[tex]\begin{equation}\begin{aligned}m &=\frac{Y 2-Y 1}{X 2-X 1} \\m &=\frac{2-1}{3-2} \\m &=\frac{1}{1} \\m &=1\end{aligned}\end{equation}[/tex]

We can find the formula using the point-slope formula.

[tex](Y -Y 1)=\ m (X -X1)\\Y-1=1(X-2)\\Y-1=X-2\\Y=X-1[/tex]

By using the equation we can conclude that it will take 7 hours before the two tanks have the same amount of water.

So, the equation that will help to find the answer:

So, now solve for x as follows:

Therefore, by using the equation we can conclude that it will take 7 hours before the two tanks have the same amount of water.

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Answer:

Step-by-step explanation:

5 3/12

0.25

-5 18/40

Answer: y = 7

Step-by-step explanation: 3^2 is 9 and 9 - 2 is 7.

The coordinates of B are (-2 , 9)

Step-by-step explanation:

A (8, 4)

M (3 , -1)

To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2

(Ax + Bx) / 2 = Mx

(8 + Bx) / 2 = 3

8 + Bx = 3 * 2

Bx = 6 - 8

Bx = -2

(Ay + By) / 2 = My

( -1 + By) / 2 = 4

-1 + By = 4 * 2

By = 8 + 1

By = 9

The coordinates of B are (-2 , 9)

Answer:

term

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

All of them have the same denominator so we can take the denominator out

2-4-3 = -1 m

Given:-

To find the simplified form and the mistake.

So now we use the formula,

So now we substitute the value. so we get,

So now we get,

So the value of x is,

So the mistake is in step 5.

Membership to a video game club is $50 a year and $3 per game rented. At the end of the year Harvey had spent $296. he played games had he rented 82 games.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

A set of numbers and operations make up a mathematical expression. The components of a mathematical expression that performs an operation are:

Operands: Operands are the numerical values that are employed in an operation. Different words are given to the operands depending on the type of operation.

Operator: An operator is the symbol used to represent a mathematical operation.

Solving the above;

Membership costs him= $50

Per game rented= $3

Amount he spent = $296

Therefore, Number of games he rented=[tex]\frac{296-50}{3}[/tex]

                                                                 = 82

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Value of w will be [tex]\frac{45}{Q}[/tex] + 3

Division is the process of dividing a bunch of items into equal portions. It is one of the four fundamental operations in mathematics and results in a just distribution of resources. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend. The number that divides the number (dividend) into equal parts is known as the divisor. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The division sign, "÷" or occasionally "/," is used in computer code.

Given Data

The nine less than the quotient of a number w and -3 is 54.

Let the quotient be Q

9 - Q( w - 3) = 54

Solving,

-Q(w  - 3) = 54 -9

w-3 = [tex]\frac{45}{Q}[/tex]

w = [tex]\frac{45}{Q}[/tex] + 3

Value of w will be [tex]\frac{45}{Q}[/tex] + 3

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The simplified form is 3/4( 2s-1).

The problem we dealing with here is related to factors of linear polynomial, where a linear polynomial is characterized as any polynomial expressed in the form of a condition of p(x) = ax + b, where a and b are real numbers and a ≠ 0. In a linear polynomial, the degree of the variable is rise to 1 i.e, the highest type of the variable is one, whereas a factor of polynomial P(x) is any polynomial that divides equitably into P(x). The factorization of a polynomial is its representation as a product of its variables.

The problem that is given to us is 6s-3/4 ,we just need to find common factor it to convert it into a simpler form.

We can see 3/4 is the common factor out here so it wil be

=3/4 (2s-1)

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The given expression 1500 x 830 + 321 can be solved as 12,45,321 using arithmetic operations.

Multiplication is the repeated addition of a number. If we multiply m by n, that means m is repeatedly added to itself for n times. The symbol for multiplication is ‘×’.

Addition is the process of combining two or more items (or numbers) to create a new sum.

Given the expression: 1500 x 830 + 321

Using BODMAS, first we do the multiplication.

So, 1500x 830 = 12,45,000

Now, continuing with the addition, we get

12,45,000 + 321 = 12,45,321

Therefore, the given expression can be solved as 12,45,321.

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"The given question is:

Calculate 1500 x 830 + 321"

The dimensions of the garden are l=20 ft and w=15 ft.

Given, the rectangular garden is 5 ft longer than it's width.

The area of the garden is 300 ft.

dimensions of the garden are = ?

let the width be represented by x.

therefore, length = 5+x

area of the rectangle = l×w

substitute the values.

x(5+x) = 300

5x + x² = 300

x² + 5x - 300 = 0

x²+20x-15x-300 = 0

x(x+20)-15(x+20)=0

(x+20)-(x-15)=0

x=-20 or x=15

hence the dimension cannot be negative.

hence x=15.

substitute x=15 in l=x+5

l=15+5

l=20

Therefore, length and width of the rectangle garden are 20 ft and 15 ft, respectively.

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