-3/4 cubed as a fractoin

Answer: 0

Step-by-step explanation:

Y2 - Y1

________.

X2 - X1

A linear slope means that the Ys are the same and you can't divide by zero.

You have your points (8,7) and (3,7)

Use the template like I have above.

7 - 7

______

3 - 8

which equals....

0

__

-5

I hope that makes sense for you :)

The dimension of the square metal sheet is x = 4 ft

Dimensions are the measure of a physical property of an object such as length, width or height.

Since an open box is to be constructed from a square sheet of metal with dimensions x feet by x feet by removing a square of side 1 foot from each corner and turning up the edges.

The volume V of the box is V(x) = (x - 2)².

To find the dimensions of the sheet metal needed to make a box that will hold 4 cubic feet by solving the equation V(x) = 4, we make V(x) = 4 and solve the equation.

So,  V(x) = (x - 2)².

(x - 2)² = 4

Taking square roots of both sides, we have that

√(x - 2)² = ±√4

x - 2 = ±2

x = 2 ± 2

x = 2 - 2 or x = 2 + 2

x = 0 or x = 4

Since the dimension cannot be 0, x = 4

So, the dimension of the sheet is x = 4 ft

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The value of "a" will be 30 for the given Algebraic expression.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given, a algebraic expression 6a -4a +5a = 210

Simplifying the equation in terms of a

6a -4a +5a = 210

adding or subtracting the terms with the same variables

7a = 210

divide by 7 on both sides

a = 30

Therefore, the value of "a" will be 30 for the given Algebraic expression.

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Answer:16/10

Step-by-step explanation:

add 4/5+4/5=16/10

so the answer is 16/10

In a parallelogram ABCD, if point C lies on the line x = −1, then the y-value of C is option C: 0.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

Since ABCD is a parallelogram, it is known know that opposite sides are parallel.

Therefore, the slope of side AB is the same as the slope of side CD, and the slope of side BC is the same as the slope of side AD.

The points B and C both lie on the line x = -1.

Therefore, the x-coordinate of point C is also -1.

Use the slope of side BC to find the y-coordinate of point C.

The slope of side BC can be found as -

slope of BC = (y-coordinate of C - y-coordinate of B) / (-1 - 1)

slope of BC = (y-coordinate of C - 2) / (-2)

Since side AD is parallel to side BC, it has the same slope.

The slope of side AD can be found as -

slope of AD = (y-coordinate of D - y-coordinate of A) / (-1 - 1)

slope of AD = (2 - 4) / (-2) = 1

Since the slopes of two parallel lines are equal so -

slope of AD = slope of BC

Therefore, equate the two slopes and solve for the y-coordinate of point C -

1 = (y-coordinate of C - 2) / (-2)

Multiplying both sides by -2 -

-2 = y-coordinate of C - 2

Adding 2 to both sides -

y-coordinate of C = 0

Therefore, the y-coordinate of point C is 0.

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Figure ABCD is a parallelogram. If point C lies on the line x = −1, what is the y-value of point C?

Answer:

Step-by-step explanation:

When trying to determine the probability of rain on a given day, there are a variety of methods that could potentially be used, depending on the data available and the specific context. In the case of Anna and Sean's Senior Class Picnic, the probability of rain is stated to be 60%, which suggests that some kind of statistical analysis was used to arrive at this figure. The question asks which of the following methods was most likely used to determine this probability.

Option a suggests that the probability of rain is based on the frequency of rain on the same date each year. This method might be used if there is a long-term historical record of weather conditions on this particular date, which could be used to estimate the probability of rain. However, the question does not provide any information to suggest that this is the case. Additionally, even if there is historical data for this date, it may not be particularly relevant if the local climate has changed over time or if the weather patterns for this particular year are unusual.

Option b suggests that the probability of rain is based on historical data for days with similar meteorological conditions as today. This method might be used if there is a large database of weather information that can be used to identify patterns in weather conditions and predict the likelihood of rain based on those patterns. However, the question does not specify what kinds of meteorological conditions are being considered, so it is unclear whether this is a valid method for the current situation.

Option c suggests that the probability of rain is based on the historical frequency of rain during this month. This method might be used if there is a reliable historical record of weather conditions for this month, which can be used to estimate the likelihood of rain. However, this method does not take into account the specific conditions of the current day, which could be very different from the average conditions for the month.

Option d suggests that the probability of rain is based on historical data for days with similar meteorological conditions to the current day, in the specific area where Anna and Sean are located. This method is the most plausible option, as it takes into account the local climate and weather patterns, as well as the specific conditions of the current day. This type of analysis might involve looking at historical data for temperature, humidity, air pressure, and other relevant factors, and using that information to predict the likelihood of rain.

In summary, based on the information provided in the question, option d seems to be the most likely method for determining the probability of rain on the day of Anna and Sean's Senior Class Picnic.

Answer:

Question 19: The person who traveled the farthest lives 12 miles from the restaurant, which is the same distance as Kellan.

Question 20: Kellan would have left his house at 8:10 AM in order to arrive at Andrea's house at 8:30 AM and then walk to the restaurant with Andrea at a rate of 2.5 miles per hour, arriving at the restaurant at 8:50 AM, five minutes early. So the answer is 810.

There are D. 9+7x+(-3y) and E. 9-(-7)x-3y that equivalent to the given expression 9 +7x-3y.

Equivalent expressions are defined as mathematical statements that have containing identical variables or numbers.

The expression is given in the question, as follows:

9 + 7x - 3y

D. 9+7x+(-3y) is equivalent because the expression in the parentheses represents a negative value of 3y, so we can combine the 7x and the negative 3y terms to get 7x-3y, which when added to 9 gives the original expression of 9 +7x-3y.

E. 9-(-7)x-3y is equivalent because we can simply change the minus sign before the -7 to a plus sign, resulting in the original expression of 9 +7x-3y.

Thus, D. 9+7x+(-3y) and E. 9-(-7)x-3y are equivalent to the given expression 9 +7x-3y.

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The complete question would be as:

Select all the expressions that are equivalent to 9 +7x-3y.

A. 9+7x+3y

B. 9-7x-3y

C. 9-7x+3y

D. 9+7x+(-3y)

E. 9-(-7)x-3y

Answer:

[tex]\csc \theta=\dfrac{\sqrt{61}}{6}[/tex]

[tex]\sin \theta=\dfrac{6}{\sqrt{61}}=\dfrac{6\sqrt{61}}{61}[/tex]

[tex]\cot \theta=\dfrac{5}{6}[/tex]

Step-by-step explanation:

Use Pythagoras Theorem to calculate the length of the hypotenuse of the given right triangle:

[tex]\implies a^2+b^2=c^2[/tex]

[tex]\implies 5^2+6^2=c^2[/tex]

[tex]\implies 25+36=c^2[/tex]

[tex]\implies c^2=61[/tex]

[tex]\implies c=\sqrt{61}[/tex]

Therefore:

[tex]\boxed{\begin{minipage}{8cm}\underline{Trigonometric ratios}\\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\\\$\sf\csc(\theta)=\dfrac{H}{O}\quad\sec(\theta)=\dfrac{H}{A}\quad\cot(\theta)=\dfrac{A}{O}$\\\\where:\\\phantom{ww}$\bullet$ $\theta$ is the angle.\\\phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle.\\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse.\\\end{minipage}}[/tex]

Substitute the given values into each ratio:

[tex]\csc \theta=\dfrac{\sqrt{61}}{6}[/tex]

[tex]\sin \theta=\dfrac{6}{\sqrt{61}}[/tex]

[tex]\cot \theta=\dfrac{5}{6}[/tex]

Note: The sin θ ratio can also be written as:

[tex]\implies \sin \theta=\dfrac{6}{\sqrt{61}}\cdot \dfrac{\sqrt{61}}{\sqrt{61}}[/tex]

[tex]\implies \sin \theta=\dfrac{6\sqrt{61}}{61}[/tex]

Answer: 186 cubic in

Step-by-step explanation:

Answer:

I agree with Sharon's teacher and I believe that the factoring of x^2 + 81 as (x+9)(x-9) is incorrect because the difference of two squares method can only be used to factor polynomials of the form x^2 - a^2, and not x^2 + a^2.

Step-by-step explanation:

The correct answer is x^2 + 81 can be factored as (x + 9)(x + 9) using the trinomial method.

Answer:

A ∩ B = {6, 12}

Step-by-step explanation:

A ∩ B means only the terms A and B have in common.

Therefore, A ∩ B = {6, 12}

Answer:

5:1

Step-by-step explanation:

d_a = 20

d_b = 5

Equation for the circumference of a circle:

C = pi*d

C_a = pi * d_a

C_a = pi*20

C_b = pi * d_b

C_b = pi * 5

Ratio of C_a to C_b = C_a/C_b

C_a/C_b = (pi * 20)/(pi * 4) = 5:1

Using arithmetic operations it is obtained that there were approximately 76 female animals in the herd.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

If 32% of the animals were males, then 100% - 32% = 68% of the animals were female.

To find the number of female animals in the herd of 112 animals, multiply the total number of animals by the percentage that were female -

68% = 68/100 = 0.68

Number of female animals = 0.68 x 112

Number of female animals = 76.16

Rounding this to the closest whole number gives -

Number of female animals ≈ 76

Therefore, the number of female animals is 76.

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Answer:

216÷4=54

Step-by-step explanation:

we have to divide the bulb he fixed in per room by how many he fixes I guess so

Answer: He can fix in a total of 54 rooms which makes 216 bulbs fixed by him.

Step-by-step explanation:

4 bulbs are present in = 1 room

thus, 216 bulbs are present in = 216/4 = 54 rooms

So, he fixes 54 rooms in total

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Another form of energy that is in the electromagnetic spectrum is X - rays

The electromagnetic spectrum is the range of all the electromagnetic waves.

Since electromagnetic spectrum contains more than just the visible light that you see, its range is given by the pneumonic RMIVUXG where

So, the frequencies of the electromagnetic waves increase as we go from top to bottom and its wavelength decreases as we go from top to bottom.

So, another form of energy that is in the electromagnetic spectrum is X - rays

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Answer:

When cash is received, it should be entered as a debit to the cash account, as the cash account is an asset account that reflects an increase in the company's assets. Therefore, the journal entry would be:

Date: Oct - 1

Account: Cash

Account Number: 1000

Debit: $8000

Credit: $0

1.) Skewed left

2.) a. z-score = 0.54
    b. z-score = 0.77

    c. z-score = -0.77
3.) a. z-score = 1.24

    b. Large Chain

    c. Local Brewery

4.) a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.

     b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.

What is the z-score?

In statistics, the z-score, also known as the standard score, is a measure of how many standard deviations an observation or data point is above or below the mean of the data set.

1.)

Skewed Left, since the possible values are clustered towards the upper limit of 330 ml, and it is impossible to fill the bottle with more than 330 ml.

2.)

a. z-score = (328.6 - 328.3) / 0.9 * √6 = 0.54

b. z-score = (328.6 - 328.3) / 0.9 * √12 = 0.77

c. z-score = (327.9 - 328.3) / 0.9 * √1 = -0.77

3.)

a. z-score = (328.6 - 328) / 0.7 * √6 = 1.24

b. Large Chain, since the z-score for the large chain is higher, indicating a larger average fill for the bottles in the six-pack.

c. Local Brewery, since the z-score for the local brewery is lower, indicating a smaller average fill for the bottles in the twelve-pack.

4.)

a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.

b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.

Hence,

1.) Skewed left

2.) a. z-score = 0.54
    b. z-score = 0.77

    c. z-score = -0.77
3.) a. z-score = 1.24

    b. Large Chain

    c. Local Brewery

4.) a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.

     b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.

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The interest to pay at the end of the first month C. $18.71.

To calculate the monthly interest rate, divide the annual percentage rate by 12. For excellent credit, the monthly rate is 4.75% / 12 = 0.3958%, and for good credit, the monthly rate is 5.00% / 12 = 0.4167%.

The total cost of the mobile home including sales tax is $92,738 ($89,000 x 4.2% sales tax). With a $3,000 down payment, the amount financed is $89,738.

For excellent credit, the monthly interest rate :

= 4.75% / 12

So, the interest charged in the first month is $89,738 x  4.75% / 12 = $355.21

For good credit, the monthly interest rate is 0.4167%. So, the interest charged in the first month is $89,738 x 0.004167 = $33.91.

The difference in interest charged between good and excellent credit is $373.91 - $355.21 = $18.71.

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The complete question is:

Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment. How much more interest do your parents have to pay at the end of the first month because their rating is good rather than excellent?

Secured Unsecured

Credit APR (%) APR (%)

Excellent 4.75 5.50

Good 5.00 5.90

Average 5.85 6.75

Fair 6.40 7.25

Poor 7.50 8.40

Options:

$29.39

$21.10

$18.71

$19.02

Please find attached the graph of the parabola, y = x² - 4·x + 4, created with MS Excel, showing the points;

A parabola is the locus of a point that moves such that its distance from a point (known as the focus) and a line (known as the directrix), are the same.

1. The quadratic function is; y = x² - 4·x + 4

The x-coordinates of the vertex of the quadratic function, f(x) = a·x² + b·x + c, can be found using the formula;

x = -b/(2·a)

The x-coordinates of the graph of the equation, y = x² - 4·x + 4, is the point;

x = -(-4)/(2 × 1) = 2

The y-value of the vertex is therefore;

y = 2² - 4 × 2 + 4 = 0

The coordinates of the vertex is therefore; (2, 0)

2. The y-intercept is the point the graph intersects the y-axis, which is the point the x-value is zero, therefore;

The coordinate of the y-value of the y-intercept is therefore;

y = 0² - 4 × 0 + 4 = 4

The y-intercept is therefore; (0, 4)

3. A point on a function can be plugging a value of the input as follows;

The point at x = 1 is; y = 1² - 4×1 + 4 = 1

Therefore, another point on the graph is; (1, 1)

4. The axis of symmetry is the vertical line passing through the vertex, with an equation which is the x-value of the vertex

The x-value of the vertex is; x = 2, therefore, the axis of symmetry is the line; x = 2

The reflection of a point (x, y) about the vertical y-axis is the point (-x, y)

Therefore, the image of the reflection of the y-intercept, (0, 4) about the line x = 2 will be the point (4, 4)

The reflection of the point (1, 1), about the line x = 2 is the point (3, 1)

The above points can be used to graph the parabola, y = x² - 4·x + 4.

Please find attached the graph of the parabola created with MS Excel.

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Answer:

Step-by-step explanation: To calculate the total amount of money Jamal made in six months, we need to multiply the number of paintings sold by the price of each painting, and then add the results for the large and small paintings:

7 large paintings * $45.99/large painting = $321.93

4 small paintings * $28.99/small painting = $115.96

Total amount made = $321.93 + $115.96 = $437.89

Therefore, Jamal made $437.89 in six months by selling seven large paintings and four small ones.

The value of the expression 3 (x - y) is 12

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

x - y = 4

Multiply both sides of the equation by 3

So, we have the following representation

3 * (x - y) = 4 * 3

Evaluate the products

This gives

3 (x - y) = 12

Hence, the soluton of 3 (x - y) is 12

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The placebo effect refers to an experiment where neither the participants nor the experimenters know who belongs to the treatment group and who belongs to the control group. As a​ result, it is impossible for the experiments to link certain effects to certain​ patients, which make the results difficult to interpret.

What is the placebo effect is an experimental study refers to the?

The placebo effect is a phenomenon where people report real improvement after taking a fake or nonexistent treatment, called a placebo. Because the placebo can't actually cure any condition, any beneficial effects reported are due to a person's belief or expectation that their condition is being treated.

Hence , The placebo effect refers to an experiment where neither the participants nor the experimenters know who belongs to the treatment group and who belongs to the control group. As a​ result, it is impossible for the experiments to link certain effects to certain​ patients, which make the results difficult to interpret.

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C. A placebo refers to a situation in which a patient improves simply because they believe they are receiving a useful treatment.

Answer:

Step-by-step explanation:

o divide 6029 by 28, we can use long division:

             215

          ---------

28 |    6029

             56

             ---

            182

           168

             ---

           144

          140

           ---

            4

So 6029 divided by 28 is 215 with a remainder of 4. Therefore, the answer to the problem is:

6029/28 = 215 R 4

Answer:

Step-by-step explanation:

here is a step-by-step explanation:

Convert half a gallon of milk to liters. There are 3.785 liters in a gallon, so half a gallon is 1.892 liters.

Convert 5 ounces to liters. There are 0.147868 liters in 5 ounces.

Divide the total volume of milk (1.892 liters) by the volume of each bottle (0.147868 liters) to find out how many bottles can be filled completely:

1.892 liters / 0.147868 liters per bottle = 12.8 bottles

Note that the answer is not a whole number, which means there will be some leftover milk after 12 bottles are filled.

To find out how many milliliters are in each bottle, we can convert 5 fluid ounces to milliliters:

5 fluid ounces x 29.5735 milliliters per fluid ounce = 147.868 milliliters

Therefore, each bottle will contain approximately 147.868 milliliters of milk.

So, in summary, with half a gallon of milk, you can fill 12 bottles completely and each bottle will contain about 147.868 milliliters of milk.

So the equation that can be used to find the number of cars that Mr. Diaz sold, c, is:

34c - 8 = 28

In algebra, a statement of mathematics that proves the equality of two mathematical expressions is known as an equation. Consider the equation 3x + 5 = 14, where the word "equal" is used to denote the relationship between the terms 3x + 5 and 14.

Let c be the number of cars that Mr. Diaz sold.

According to the problem statement, Ms. Wong sold 8 fewer cars than 34 times the number of cars Mr. Diaz sold, which can be written as:

Ms. Wong's cars sold = 34c - 8

We also know that Ms. Wong sold 28 cars, so we can set this expression equal to 28 to get:

34c - 8 = 28

To solve for c, we can add 8 to both sides and then divide both sides by 34:

34c - 8 + 8 = 28 + 8

34c = 36

c = 36/34

So the equation that can be used to find the number of cars that Mr. Diaz sold, c, is:

34c - 8 = 28

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Answer:

Step-by-step explanation:

To find an integer n so that the interval of the form [n, n+1] contains the solution to the equation x^2 + 1/x = 1, we can first rewrite the equation as x^3 - x^2 + 1 = 0.

Next, we can use the Intermediate Value Theorem to find such an n. Since f(x) = x^3 - x^2 + 1 is a continuous function, if we can find two values of x, a and b, such that f(a) and f(b) have opposite signs, then there must exist a value of x between a and b for which f(x) = 0.

(a) Evaluating f(n) and f(n+1), we have:

f(n) = n^3 - n^2 + 1

f(n+1) = (n+1)^3 - (n+1)^2 + 1

(b) Since f(x) is a polynomial, it is continuous for all x, and so the largest possible interval on which f(x) is continuous is (-∞, ∞).

Thus, we want to find values a and b such that f(a) and f(b) have opposite signs. We can plot the function to get an idea of where the roots might be                          

   |                              

   |                 __          

   |                 /  \        

   |                /    \        

   |              ./      \.      

   |             /          \    

   |           ./            \.  

   |          /                \  

   |        ./                  \.

   |      ./                      \

   |    ./                          \

   |---------------------------------

        a                           b

From the graph, it appears that there is a root between 0 and 1, and another root between -1 and 0. We can use this information to choose a and b. Since we want the largest possible interval, we can take a = -1 and b = 1, so that the interval is (-∞, ∞).

Thus, the integer n such that [n, n+1] contains a root of x^2 + 1/x = 1 is given by n = 0.

The theorem that tells us that the solution must be in the interval [n, n+1] is the Intermediate Value Theorem.

The integer 'n' that fits the solution of the equation x^2 + 1/x = 1 within the interval [n, n+1] is 0. Using n=0 for the function f(x) = x^2 + 1/x - 1 it is undefined, but for n+1, it equals 1. The function f is continuous for all x ≠ 0 which is represented by the interval (-∞, 0) ∪ (0, ∞). This conclusion is established by the Intermediate Value Theorem.

The task involves solving the equation x2 + 1/x = 1 to find an integer 'n' such that the solution fits within the interval [n, n+1]. For this equation, rearranging to x2 - x + 1 = 0, we can use the quadratic formula to find x = (1±√(1-4))/2. This gives us two solutions x = 0.5 and x = -0.5.

However, only x=0.5 is found in the interval [0, 1], where n = 0.

For the function f(x) = x2 + 1/x - 1, at n = 0, the function is undefined. However, for f(n+1) it yields a value of 1.

The function f is continuous everywhere on its domain and the function is defined for all x ≠ 0, hence the function is continuous on the interval (-∞, 0) ∪ (0, ∞).

The theorem that ensures the solution is within the interval [n, n+1] is known as the Intermediate Value Theorem.

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Answer:

I ammm really sorry for the question

i don't know sorry

The balance at the end of a year is $1051.56.

To find the balance at the end of a year, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the balance after t years

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $1000, r = 0.05, n = 2 (since the interest is compounded semi-annually), and t = 1. Plugging these values into the formula, we get:

A = $1000(1 + 0.05/2)^(2*1)

= $1000(1.025)^2

= $1051.56

Therefore, the balance at the end of a year is $1051.56.

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The mathematical model that can be used to express the verbal statement of the proportional relationships are;

10. y = k/x²

11. P = k/V

12. P = k·V·I

A proportional relationship is one in which the output variable is a multiple of the input variable and a constant (the constant of proportionality).

10. The verbal statement is; y varies inversely as the square of x

The inverse relationship indicates that a variable is related to the reciprocal of the other variable, therefore;

The mathematical model for the statement can be presented as follows;

y ∝ 1/x²

The constant of proportionality k can therefore be applied as follows;

11. The verbal statement is; For a constant temperature, the pressure P of a gas is inversely proportional to the volume V of the gas

The mathematical model of the proportional relationship is; P ∝ 1/V

Therefore;

12. The verbal statement is; The electric power P of a direct current circuit is jointly proportional to the voltage V and the electric current I

The mathematical model is therefore;

P ∝ V·I

Therefore;

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