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The order of the rectangular area from greatest to least is green sticker > yellow sticker > red sticker

The area of a rectangle is calculated by multiplying its length by its width. So if the length of a rectangle is l and the width is w, then its area A is given by the formula A = l x w.

To solve this problem, we can find the area of each sticker one after the other.

Area = length * width

1. red sticker = 2 * 1.5 = 3cm²

2. green sticker = 12 * 0.5 = 6cm²

3. yellow sticker = 3 * 1.25 = 3.75cm²

The order is green sticker > yellow sticker > red sticker

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Based on the information provided, we can prepare a cost of production report for the Roasting Department as follows: (see attached images)

A Cost of Production Report is a document that summarizes the total costs incurred by a company to manufacture a product or provide service during a specific period of time.

The report provides information on the direct materials, direct labor, and factory overhead costs that were involved in producing the item, as well as any other costs associated with the production process.

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The standard error of a statistic or an estimate of a parameter is the standard deviation of its sampling distribution.

The standard deviation of the sample distribution is referred to as the standard error in statistics. In most cases, the sample mean of a data set differs from the actual population mean. SE is used to denote it. It is used to gauge how well a sample of a population represents that population. Data, samples and populations, means, medians and modes, dependent and independent variables, standard deviations, variance, and other concepts are all covered in the large field of statistics.

The standard error is one of the mathematical tools used in statistics to estimate variability. It is abbreviated as SE. The standard error of a statistic or an estimate of a parameter is the standard deviation of its sampling distribution. We can define it as an estimate of that standard deviation.

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Answer:

Step-by-step explanation: In this situation, mean would be the most appropriate statistic to show the increase in the size of the offensive line of the football team. The mean is a measure of central tendency that takes into account all the values in a set and calculates the average, giving a good representation of the general trend of the data. The mean size of the offensive line can be calculated by adding up the size of all the players and dividing by the number of players. This would give a good idea of the overall increase in the size of the offensive line.

d. The logarithmic model can be expressed as y1~alog(x1)+k or y1~aln(x1)+k.

The best fit curve for the given data would be: y1 = 0.2 * log(x1) + k or y1 = 0.2 * ln(x1) + k

a. If you wanted to find a station with a frequency of 93.3 on your radio dial, you would need to use the formula Frequency = 88 + 0.2 * (Channel Number). Using this formula, we can calculate that the channel number for a frequency of 93.3 is:

Channel Number = (Frequency - 88) / 0.2

Channel Number = (93.3 - 88) / 0.2

Channel Number = 5.3

Therefore, a station with a frequency of 93.3 can be found on channel 5.3 on your radio dial.

b. If you turned the radio dial to be 4 centimeters from the left end of the radio, the channel number would be:

Channel Number = 4 / 0.2

Channel Number = 20

Using the formula Frequency = 88 + 0.2 * (Channel Number), we can calculate that the frequency for channel 20 is:

Frequency = 88 + 0.2 * (Channel Number)

Frequency = 88 + 0.2 * (20)

Frequency = 96.0

Therefore, turning the radio dial to be 4 centimeters from the left end of the radio, you will pick up a station with a frequency of 96.0.

Answer:

0.60

Step-by-step explanation:

sales tax=

\,\,\text{6\% of \color{blue}{bill}}

6% of bill

=

=

\,\,0.06\times\color{blue}{\$10}

0.06×$10

6% = 0.06

=

=

\,\,\color{green}{\$0.60}

$0.60

\text{The sales tax was \$0.60.}

The sales tax was $0.60.

The statement describes the solutions of this equation is

The Equation have two valid solution and No Extraneous solution.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x/3 + (x-1)/ (x+ 4)= (x+3)/ (x+4)

Now, simplifying the above Expression

(x² + 4x + 3x - 3) / 3(x+4) = (x+3)/ (x+4)

(x² + 4x + 3x - 3) / 3 = (x+3)

x² + 7x -3 = 3(x+3)

x² + 7x -3 - 3x - 9 = 0

x² + 4x - 12 = 0

Solving the above Quadratic Equation

x² + 6x- 2x - 12 = 0

x(x+6)- 2(x+6)= 0

(x-2)(x+6)= 0

x= 2, -6.

So, the Equation have two valid solution and No Extraneous solution.

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Answer:

Step-by-step explanation:

Area of a rectangle = length times width.

Area of the garden = 6z(4z + 17)

24z² + 102z

The equations of the parabolas are y = x² - 6x - 7 and y = x² - 7

Parabola 1

Given that

The points (-1,0), (7, 0) and (3,-16)

The equation is represented as

y = ax² + bx + c

So, we have

a - b + c = 0

49a + 7b + c = 0

9a + 3b + c = -16

Make c the subject in a - b + c = 0

c = b - a

So, we have

49a + 7b + b - a = 0

9a + 3b + b - a = -16

48a + 8b = 0

8a + 4b = -16

Multiply 8a + 4b = -16 by 2

48a + 8b = 0

16a + 8b = -32

Subtract

32a = 32

So, we have

a = 1

Recall that 48a + 8b = 0

So, we have

48 + 8b = 0

This gives

8b = -48

Divide

b = -6

Also, we have

c = b - a

This gives

c = -6 - 1

c = -7

So, the equation is

y = x² - 6x - 7

Parabola 2

Given that

The points (-4,9), (-3, 2) and (0,-7) and (4,9)

The equation is represented as

y = ax² + bx + c

So, we have

16a - 4b + c = 9

9a - 3b + c = 2

c = -7

16a + 4b + c = 9

The equations become

16a - 4b = 16

9a - 3b = 9

16a + 4b = 16

Add (1) and (3)

32a = 32

So, we have

a = 1

Subtract (1) and (3)

-8b = 0

So, we have

b = 0

So, the equation is

y = x² - 7

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Answer:

3w= 17.98-6.88

3w=11.1

w =3.7

Step-by-step explanation:

After subtracting divide both side by 3

Answer:

w = 3.70

Step-by-step explanation:

Given that,

6.88 + 3w= 17.98 ..........(1)

Now subtracting both sides by 6.88 in equation (1), We have

6.88 + 3w - 6.88 = 17.98 - 6.88

or, 3w + 0 = 11.1

or, 3w = 11.1

Again dividing both sides by 3 in the above equation, We have

[tex]\frac{3w}{3}=\frac{11.1}{3} = 3.70[/tex]

Hence the required answer is w = 3.70

The values of the operations between the two functions are, respectively:

In this problem we find the representations of two functions, each on one Cartesian plane: f(r), h(r). Based on that information we can determine the result of operations between functions, which are defined below:

Addition

(f + h)(x) = f(x) + h(x)

Subtraction

(f - h)(x) = f(x) - h(x)

Multiplication  

(f · h)(x) = f(x) · h(x)

Division

(f / h)(x) = f(x) / h(x)

Now we proceed to determine each operation:

(f + h)(5) = f(5) + h(5) = 3 + 4 = 7

(h - f)(2) = h(2) - f(2) = 1 - 1 = 0

(f · h)(3) = f(3) · h(3) = 4 · 0 = 0

(h / f)(0) = h(0) / f(0) = 3 / 5

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On solving the provided question, we can say that  percentage terms is 41.93%

A percentage in mathematics is a figure or ratiο that is stated as a fraction of 100. The abbreviatiοns "pct.," "pct," and "pc" are also occasionally used. It is frequently denοted using the percent symbol "%," though. The amount of percentages has nο dimensions. With a denominator of 100, percentages are basically fractiοns.

To show that a number is a percentage, place a percent symbol (%) next tο it. For instance, if yοu correctly answer 75 out of 100 questions on a test (75/100), yοu receive a 75%. To cοmpute percentages, divide the amount by the tοtal and multiply the result by 100. The percentage is calculated using the fοrmula (value/total) x 100%.

total no. of students = 31

no. of students play sports = 13

percentage terms = 13/31 × 100= 41.93%

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The Ratios, Rate and unit rate are used to solve many real-world problems.

Let us defined ratios, rates and unit rates and see the real world examples below.

As a ratio is a comparison of two numbers or measurements.

For example, if a store sells 5 black color pens and 7 blue color pens, then the ratio of black to blue pens is 5 to 7.

A rate is also a ratio in which the two terms are in different units.

For example, if 2 galloons of milk costs 8 dollar, then the rate is 2galloons for

8 dollar. And the unit is galloons per dollar.

As Rates are used in our daily life, such as when we work 40 hours per week or take 2 liters of water per day. When rates are expressed as a quantity of 1, such as 2 liters of water per day  that is, per 1 day or 6 miles per hour that is, per 1 hour. So they can be defined as unit rates.

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Answer:

to describe the same relationship between quantities or to compare two quantities. A rate is a special type of ratio that compares quantities with unlike units. A unit rate compares a quantity of something with a single unit of a different quantity.

The coordinates of D' will be at (x, - y) when reflected along the line Y-X.

Mathematical transformations can be used to move two-dimensional figures along a plane or coordinate system.

Dilation, To construct the image, the preimage is scaled up or down.

The image is a preimage that has been turned around or a reflection.

Rotation, To produce the final image, the preimage is rotated about a specified point.

Translation, The picture is relocated a set distance from the preimage while also being translated.

Given, A quadrilateral ABCD and one is the vertex D(x, y).

Now, The reflection of the quadrilateral ABCD is reflected across the Y-X.

We know a reflection along Y-X changes (x, y) to (x, -y).

Therefore, The vertex D' will have coordinates (x, - y).

Q. What are the coordinates of D'when the quadrilateral ABCDis reflected across the line Y - X, Given, preimage D(x, y).

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The measure of angle TSK is given as follows:

m < TSK = 35º.

On a triangle, the sum of the measures of the internal angles is of 180º.

For triangle TSK, the internal angle measures are given as follows:

Then the measure of angle TSK is obtained as follows:

m < TSK + 22 + 123 = 180

m < TSK = 180 - 145

m < TSK = 35º.

Meaning that the last option is correct.

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To answer this question, we need to use some basic trigonometry. We know that Dirk's shadow is as tall as the town hall and that Dirk is 1.40m tall. So, if we can determine the angle of elevation of the spotlight, we can calculate the height of the town hall.

Let's call the angle of elevation "α" and the distance from the spotlight to the town hall "d". To determine α, we can use the tangent function.
tan α = opposite/adjacent = (d-5)/35 = (30/35) = 0.8571

The angle of elevation is arctan(0.8571) = 53.13°.

Now, we can use the sine function to calculate the height of the town hall:
sin α = opposite/hypotenuse = 1.4/d
d = 1.4/sin 53.13° = 16.2m

Therefore, the town hall is 16.2m tall.

Answer:

4x + y = 2

Step-by-step explanation:

y + 2 = - 4(x - 1) ← distribute parenthesis by - 4

y + 2 = - 4x + 4 ( add 4x to both sides )

4x + y + 2 = 4 ( subtract 2 from both sides )

4x + y = 2 ← in standard form

Using equations, they sold 165 tickets before both accounts had the same amount of money.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The variables that must be included in the equation are also known as the unknowns.

Given that, Jaelyn had $150 in the school account and sold tickets for the fundraiser at a cost of $8 per ticket.

and Erik had $480 in his school account and sold tickets for the fundraiser at a cost of $6 per ticket.

Let they sold x tickets and they have the amount in their account is y.

After sold tickets, Jaelyn accounts had the amount is

y = 150 + 8x

After sold tickets, Erik accounts had the amount is

y = 480 + 6x

the amount in their account is same, so we compare both equation to find x

150 + 8x = 480 + 6x

arranging like terms in same side

8x - 6x = 480 - 150

2x = 330

divide both sides by 2 we get,

x = 330/2

x = 165

So, they sold 165 tickets before both accounts had the same amount of money.

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Answer:

Step-by-step explanation: it it D

(y2-y1)/(x2-x1)

ex:-1-(-3)/-1-(-2)=2

Answer:

C

Step-by-step explanation:

In this equation, you would need to do 32/5 to figure out how much each person will get. 32/5=6.4 feet

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The average daily balance for Pete's credit card last month was a dollars. The finance charge was f dollars. APR algebraically is: 12f/a.

Finance charge = Monthly interest rate · Average daily balance

Monthly interest rate = APR/12

Where:

Finance charge = f

Average daily balance = a

f= Monthly interest rate · a

f = APR/12 · a

f/a  = APR/12

12.f/a = APR

Therefore APR algebraically is: 12f/a.

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Answer:

The percentage of students in Kiri's brother's class who think aliens exist is 11/25 = 44%.

Since the number of students in Kiri's class is not given, it's not possible to compare the percentage of students in Kiri's class who think aliens exist to the percentage in her brother's class. We need to know the number of students in Kiri's class and the number of students who believe in aliens in order to compare the percentages.

The equation for the function is [tex]y=-0.15x+240[/tex].

What is a linear equation?

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

It is given that the amount of fuel filled up in Jon's semi truck is 240 gallons.

It is also given that for 1 mile the truck uses 0.15 gallons of fuel.

So, for "x" miles, the truck uses 0.15*x gallons of fuel.

So, the remaining fuel in the tank will be 240-0.15x.

Let the remaining fuel be "y".

This can be written as:

[tex]y=240-0.15x\\y=-0.15x+240[/tex].

Therefore the remaining fuel in the tank after Jon drives x miles will be a linear equation [tex]y=-0.15x+240[/tex]

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The original markup price that will lead to a markup on cost of 25 % would be $ 1. 68 per pound

To find the marked up price, first, find the amount that is a 25 % markup on cost to be :

= ( 100 pounds x 79 cents per pound ) x ( 1 + 25 %)

= 79 x 1. 25

= $ 98. 75

The 40 % sold would bring in:

= 40 % x 100 x 0. 79

= $ 31. 60

The amount left to be raised is:

= 98. 75 - 31. 60

= $ 67. 15

The markup price on the rest of the mushrooms is:

= 67.15 / ( 100 - 40 % - 20 %)

= $ 1. 68 per pound

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The truth table for the statement is

p     q     ~p    q ↔️ ~p   ~(q ↔️ ~p)

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

T     T     F     F        T

T     F     F     F        T

F     T     T     T        F

F     F     T     F        T

From the question, we have the following parameters that can be used in our computation:

~(q↔️~p)

To construct the truth table, we make use of the following notations

p, q, ~p, (q↔️~p) and ~(q↔️~p)

The truth table for the statement ~(q ↔️ ~p) is then represented as follows:

p     q     ~p    q ↔️ ~p   ~(q ↔️ ~p)

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

T     T     F     F        T

T     F     F     F        T

F     T     T     T        F

F     F     T     F        T

The condition for ↔ is that it is true if both statements are true

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If we select all possible samples of a certain size from this population, then, on average, the value of the sample variance is 36.

In Science, a population can be defined as a set of similar items or events that comprises every member of a group and from which a researcher, scientist, or experimenter, obtains or generates data for a statistical study.

In Statistics and science, a sample can be defined as a set of data that is collected from a population based on a well-defined sampling procedure.

In this context, we can reasonably infer and logically deduce that the sample variance on average would be equal to 36 because all possible samples of a certain size are selected from a population of 36 members.

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The complete question:

Evaluate the expression. 0.3 = -5 - (-0.4 - -0.6) Write your answer as an integer or a decimal. Do not round.​

Solution:

The value of the expression in a decimal form is, -17.33.

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.

For example, 2x+3

We have,

0.3x = -5 - (-0.4 - (-0.6))

0.3x = -5 - (-0.4 + 0.6)

0.3x = -5 - 0.2

0.3x = -5.2

x = -5.2/0.3

x = -17.33

Therefore, the value of x is -17.33.

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Answer:

12 blue chips 8 red chips.

Step-by-step explanation:

Let's call the number of blue chips "b" and the number of red chips "r". We know that 2 blue chips for every 3 red chips, so we can set up the following equation:

2b = 3r

And we know that there are 20 total chips, so:

b + r = 20

Now we can use substitution to find the value of b. We'll substitute the expression for r from the first equation:

2b = 3(20 - b)

Expanding the right side:

2b = 60 - 3b

Combining like terms:

5b = 60

And finally, solving for b:

b = 12

So there are 12 blue chips and 20 - 12 = 8 red chips.

The fraction that correctly represents the ratio of 5 to 15 in it's simplest form is option C. 1/3.

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

The given ratio is 5 to 15.

Fraction in simplest form means that, the numerator and denominator cannot be factored by a common factor again.

In order to find the given ratio in simplest form, find the greatest common factor of both 5 and 15.

5 = 5

15 = 3 × 5

5 is the only common factor and so the greatest common factor of both 5 and 15.

5 / 15 = (5 × 1) / (5 × 3)

         = 1/3

Hence 1/3 is the simplest form of the ratio 5 to 15.

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Your question is incomplete. The correct question is as follows.

Chose the fraction that correctly represents the ratio 5 to 15 in simplest form.

A. 2/3

B. 10/30

C. 1/3

D. 1/5