A summary about graphs

190 pounds is approximately equal to 86.1826 kg ( rounded to four decimal places )

To convert 190 pounds to kg, we can use the following formula:

1 pound = 0.453592 kg

The conversion factor is 0.453592

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The mass in kg = conversion factor × The mass in pounds

Substitute the values in the equation

The mass in kg = 0.453592 × 190

Multiply the numbers

= 86.1826 kg  ( rounded to four decimal places )

Therefore, 190pounds is 86.1826 kg

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The factor that represents the area of the yard that can be mowed is (225 - x²).

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The total area of the lawn is given by the formula -

Area of square lawn = (side length of square lawn)²

= (15 yards)²

= 225 square yards

The shed is also a square, with side length x yards.

So, the area of the shed is -

Area of square shed = (side length of square shed)²

= x²

To find the area of the yard that can be mowed, we need to subtract the area of the shed from the total area of the lawn -

Area of yard that can be mowed = Area of square lawn - Area of square shed

= 225 - x²

Therefore, the value is obtained as (225 - x²).

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Answer: We can use the formula for the price elasticity of demand to solve this problem:

Price elasticity of demand = percent change in quantity demanded / percent change in price

We are given that the price of chicken breast rises from $3.00 to $3.60 per pound, which is a 20% increase:

percent change in price = (3.60 - 3.00) / 3.00 = 0.20 = 20%

We are also given that the demand for chicken breast falls by 25%, which is a 25% decrease:

percent change in quantity demanded = -25%

Using these values in the formula, we get:

Price elasticity of demand = (-25%) / (20%) = -1.25

Since we are interested in the absolute value of the price elasticity of demand, we have:

|Price elasticity of demand| = |-1.25| = 1.25

A price elasticity of demand greater than 1 is considered elastic, and a price elasticity of demand less than 1 is considered inelastic. Therefore, the answer is (d) 1.25; elastic.

Step-by-step explanation:

Answer:

There are 1.91 cups in a pound

To convert 80 kilograms (kg) to pounds (lb), Use the conversion factor that represents the relationship between kilograms and pounds, which is 1 kg = 2.20462 lb.

Now, to convert 80 kg to lb, multiply 80 by the conversion factor:

80 kg x (2.20462 lb / 1 kg) = 176.3696 lb

Therefore, 80 kilograms is equal to 176.3696 pounds (rounded to four decimal places). The complete mathematical expression for this conversion is:

80 kg x (2.20462 lb / 1 kg) = 176.3696 lb

A conversion factor is a mathematical expression that expresses the relationship between two units of measurement. It is used to convert measurements between units.

Conversion factors are commonly used to convert measurements between different units of measurement in math, science, and engineering. They are a useful tool for performing calculations and comparing data in various units.

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The probability of drawing a ticket with value 2 when the first ticket drawn is 5 is 2/7.

The tree diagram makes it easier to arrange and see all of the potential possibilities. The tree's branches and ends are its two primary locations. On each branch is written the probability, and the ends hold the results in the end. To determine when to multiply and when to add, use tree diagrams.

Let A be an event: the first ticket extracted was the 5.

Let B be an event: the second ticket is 2.

The probability for the following is given as:

P (B/ A) = 2/7

Hence. the probability of drawing a ticket with value 2 when the first ticket drawn is 5 is 2/7.

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44 kg is approximately equal to 97.0034 pounds ( rounded to four decimal places )

The conversion factor to convert kg to lbs is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in lbs = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

44 kg = 44 × 2.20462

Multiply the numbers

= 97.0034 pounds  ( rounded to four decimal places )

Therefore, 44 kg is 97.0034 pounds

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The answer is A: x = 22√3 / 2 and y = 11. We can simplify x by multiplying both the numerator and denominator by 2 to get x = 22√3.

A right-angle triangle is a type of triangle that has one angle that measures exactly 90 degrees (a right angle). This angle is formed where the two shorter sides of the triangle meet. The side opposite to the right angle is called the hypotenuse, while the other two sides are called the legs.

The Pythagorean theorem is a fundamental relationship that applies to right-angle triangles. It states that the sum of the squares of the two shorter sides (legs) of a right-angle triangle is equal to the square of the hypotenuse. In other words, a² + b² = c², where a and b are the lengths of the legs, and c is the length of the hypotenuse.

Right-angle triangles are commonly used in mathematics, physics, engineering, and many other fields. They can be used to solve problems related to distances, heights, and angles, and are a fundamental building block in many geometric constructions.

The special properties of right-angle triangles also make them useful in practical applications, such as in construction, where they can be used to measure angles and distances accurately, and in navigation, where they can be used to calculate distances between two points using trigonometric functions.

In triangle ABC, we know that angle BAC is 30 degrees, and angle ABC is a right angle. Therefore, angle ACB is 60 degrees (since the angles in a triangle add up to 180 degrees).

We can use the sine and cosine ratios to find the values of x and y. Using the definition of sine and cosine:

sin(30) = opposite / hypotenuse

cos(30) = adjacent / hypotenuse

In this case, AB is the adjacent side to angle BAC, and AC is the hypotenuse. Therefore:

cos(30) = AB / AC

Substituting the given values, we get:

cos(30) = x / y

Solving for x, we get:

x = y cos(30)

Plugging in y = 11, we get:

x = 11 cos(30)

Using a calculator, we can find that cos(30) = √3 / 2, so:

x = 11 × √3 / 2

x = 11√3 / 2

Therefore, the answer is A: x = 22√3 / 2 and y = 11. We can simplify x by multiplying both the numerator and denominator by 2 to get x = 22√3.

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The 1.2 meter is 3.93701 feet.

The 1 meter is  3.28084 feet.

1.2 meter = 1.2*3.28084=3.93701

Since 1983, the meter has been internationally defined as the length of the path traveled by light in a vacuum in 1/299,792,

58 seconds. This definition can be applied easily and precisely with modern techniques, and the speed of light is considered a universal constant, making it an ideal  basis for a standard of length.

foot, plural of feet, measured by a number of  ancient, medieval and modern linear measurements (usually 25–3

cm) based on the length of a human foot, used exclusively in English-speaking countries, where it usually consists of 12 inches. , or a third of a yard.

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The value of the exponential equation is A = ( 8 ) x ^ -105/2

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 8 / ( 7√x¹⁵ )   be equation (1)

On simplifying the equation , we get

The value of √x¹⁵ = x ^ 15/2

Now , the 7th root of √x¹⁵ is = x ^ 105/2

Now , the equation will be

A = ( 8 ) x ^ -105/2

Hence , the exponential equation is A = ( 8 ) x ^ -105/2

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All of the given expressions are functions, but the first three are quadratic functions, while the last one is a quadratic function with a negative constant term.

What is the function?

A function is a mathematical relationship between two variables, where each input value (independent variable) corresponds to exactly one output value (dependent variable). It is often represented using a formula or equation.

All of the given expressions are functions, but the first three are quadratic functions, while the last one is a quadratic function with a negative constant term.

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For a golf ball with a circumference of 0.170, 1.468, 4.638, 5.872, the number of dimples are 233.8, 12.1, 3.4, 2.3 per square centimeter respectively. By using the formula, Number of dimples per square centimeter ≈ Number of dimples / Surface area

The surface area of a golf ball can be calculated using the formula for the surface area of a sphere:

Surface area = 4πr^2, where r is the radius of the ball.

We don't know the radius of the golf ball, but we do know its circumference, which is:

Circumference = 2πr

Therefore, we can rearrange the formula to solve for the radius:

r = Circumference / 2π = 13.408 cm / 2π ≈ 2.132 cm

Now we can calculate the surface area:

Surface area = 4π(2.132 cm)^2 ≈ 57.11 cm^2

Number of dimples per square centimeter ≈ Number of dimples / Surface area

For a golf ball with a circumference of 0.170 cm:

Number of dimples per square centimeter ≈ 336 / (4π(0.085 cm)^2) ≈ 233.8 dimples/cm^2

For a golf ball with a circumference of 1.468 cm:

Number of dimples per square centimeter ≈ 336 / (4π(0.734 cm)^2) ≈ 12.1 dimples/cm^2

For a golf ball with a circumference of 4.638 cm:

Number of dimples per square centimeter ≈ 336 / (4π(2.319 cm)^2) ≈ 3.4 dimples/cm^2

For a golf ball with a circumference of 5.872 cm:

Number of dimples per square centimeter ≈ 336 / (4π(2.936 cm)^2) ≈ 2.3 dimples/cm^2

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The binomial probability distribution is a discrete ​probability distribution that describes probabilities for experiments in which there are two mutually exclusive​ outcomes.

The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

In binomial probability distribution, the number of ‘Success’ in a sequence of n experiments, where each time a question is asked for yes-no, then the boolean-valued outcome is represented either with success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 − p). A single success/failure test is also called a Bernoulli trial or Bernoulli experiment, and a series of outcomes is called a Bernoulli process.

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The red angle is also greater than 90 degrees but is closer to 90 degrees than the blue angle.

An angle is a geometric figure formed by two rays that share a common endpoint, called the vertex. The rays are called the sides of the angle. Angles are typically measured in degrees or radians, and are denoted using the symbol "∠".

Here the blue angle is greater than 90 degrees, but we need to find an angle that is also greater than 90 degrees and closer to 90 degrees than the blue angle.

Since the blue angle is obtuse (greater than 90 degrees), we need to look for an acute angle (less than 90 degrees) that is closer to 90 degrees than the blue angle.

Looking at the figure, we can see that the red angle appears to be the closest to 90 degrees. The red angle is acute and seems to be closer to 90 degrees than the blue angle.

Therefore, the answer is the red angle.

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The community developed the 8 Values Test to assess a person's political position in light of eight essential political tenets. I am standing at 5 in the 8 value test.

The "8 values test" is a political assessment tool that compares and contrasts eight political philosophies: capitalism vs. socialism, traditionalism vs. progressivism, nationalism vs. globalism, libertarianism vs. authoritarianism, democracy vs. elitism, pacifism vs. militarism, ecology vs. production, and decentralization vs. centralization.

The exam generates a political compass based on their responses and presents them on a graph.

The 8 Values Political Test is distributed under the terms of the MIT License.

The 8 Values Political Test is not interchangeable with the Political Compass Test, a registered trademark of Pace News Ltd, or the Political Coordinates Test, a creation of IDRlabs.

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This means that the given side lengths do not satisfy the converse of the triangle inequality theorem, and thus a triangle cannot be formed with side lengths 8, 9, and 17.

Given that they have three quadrants or more, triangles are considered polygons. It has a straightforward geometric shape. The letters ABC form a right-angled triangle when put together. Euclidean geometry creates a new rectangle of square when the borders are incompatible. Given that they have three sides and three corners, triangles are categorised as polygons.

Here,

No, it is not possible to form a triangle with side lengths 8, 9, and 17.

To see why, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Symbolically, for sides a, b, and c, this can be written as:

a + b > c

a + c > b

b + c > a

Let's check if these inequalities are satisfied for the sides of 8, 9, and 17:

8 + 9 > 17 (true)

8 + 17 > 9 (true)

9 + 17 > 8 (true)

All three inequalities are true, which means that the given side lengths satisfy the triangle inequality and a triangle can be formed.

In this case, we see that 8 + 9 = 17, which is exactly the length of the third side.

This means that the given side lengths do not satisfy the converse of the triangle inequality theorem, and thus a triangle cannot be formed with side lengths 8, 9, and 17.

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The conversion of 26 Celsius to Fahrenheit is 78.8.

Celsius and Fahrenheit are two scales used to measure temperature.

Celsius, also known as the centigrade scale, is a temperature scale where the freezing point of water is 0 degrees Celsius and the boiling point of water is 100 degrees Celsius at standard atmospheric pressure.

To convert Celsius to Fahrenheit, you can use the following formula:

°F = (°C x 9/5) + 32

where °C is the temperature in Celsius and °F is the temperature in Fahrenheit.

Substituting the value of 26 °C in the formula, we get:

°F = (26 x 9/5) + 32

°F = (46.8) + 32

°F = 78.8

Therefore, 26°C is equivalent to 78.8°F in Fahrenheit.

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Correct Question :

What is the conversion of 26 Celsius to Fahrenheit ?

The conversion of 72 kilograms is equal to approximately 158.73 pounds (rounded to two decimal places).

A kilogram (symbol: kg) is the base unit of mass in the International System of Units (SI).

It is currently defined based on the fixed numerical value of the Planck constant, h,

Which is equal to 6.62607015 × 10-34 in the units of J·s.

A pound (symbol: lb) is a unit of mass used in the imperial and US customary systems of measurement.

The international avoirdupois pound (the common pound used today) is defined as exactly 0.45359237 kilograms.

To convert 72 kilograms to pounds,

You can use the following formula:

1 kilogram = 2.20462 pounds

Multiplying both sides by 72,

We get:

72 kilograms = 72 x 2.20462 pounds

Simplifying the calculation,

We get:

72 kilograms = 158.73264 pounds

Therefore,  the conversion of 72 kilograms is equal to approximately 158.73 pounds (rounded to two decimal places).

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Answer: 2 trapezoids

Step-by-step explanation: so 1 trapezoid has the same angles and edges as a hexagon, you get 2 and put them together 1 upside one one forward side up, it makes a hexagon

Based on the information, it can be inferred that Susan can receive a 100% refund of the taxes that were erroneously charged to her.

According to the previous information we can infer that the government can refund 100% of the money that she wrongly contributed to her taxes. This is because this return does not have a %, but is equivalent to the excess contributions that she made. Due to the above, we can affirm that she can receive all the surpluses that she contributed without any type of withholding or percentage.

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From the given information provided, the probability of event F given that event E has occurred is 0.5.

Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A and B) / P(B)

To find P(F/E), we use the conditional probability formula:

P(F/E) = P(E and F) / P(E)

We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:

P(F/E) = 0.1 / 0.2

Simplifying this expression, we get:

P(F/E) = 0.5

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The solutions are x=3.69 and x=-4.2

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

2x²+x-31=0

Solve this with the quadratic formula

x=-b±√b²-4ac/2a

a=2,b=1,c=-31

x=-1±√1+248/4

x=-1±√249/4

x=-1+√249/4

x=-1 + 15.77/4 =14.77/4

x=3.6925

and x=-1-√249/4

x=-1 -15.77/4 =-4.1925

Hence, the solutions are x=3.69 and x=-4.2

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the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

In order to find the perimeter of the given triangle, we have to find the side of the triangle. The altitude of the triangle  = 18 inches. Let us assume the side of the triangle as a. The formula for calculating the altitude of an equilateral triangle is : Altitude  =√3/2×a  (side)

18 =√3/2 × a

a = 18 × 2√3

a = 36√3

a = 36 ×√3 / √3×√3

a =36√3/3

a = 12√3 inches.

If the side of an equilateral triangle is 12√3, then all three sides of the triangle are of equal length, since it is an equilateral triangle. Therefore, the perimeter of the triangle is simply the sum of the lengths of its three sides. Since each side of the triangle has a length of 12√3, the perimeter is: Perimeter = 3 x (12√3) = 36√3.

Therefore, the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

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Answer:

50% smaller

Step-by-step explanation:

[tex]-\frac{1}{2} .(1 + \sqrt{3} )[/tex] is equivalent to the fraction below when x is an appropriate value .

What are equivalent expressions?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

How to solve Fractions ?

Step 1: Find the least common denominator. ...

Step 2: Multiply the least common denominator. ...

Step 3: Simplify the equation. ...

Step 4: Simplify until there's one term on both sides. ...

Step 5: Divide the coefficient on both sides.

Now,

[tex]\frac{\sqrt{13} }{\sqrt{3} - 3 } \\\\= \frac{\sqrt{3} }{\sqrt{3} - 3 }. \frac{\sqrt{3} +3 }{\sqrt{3} +3} \\\\= \frac{3 +3 \sqrt{3} }{3 - 9} \\\\= -\frac{1}{2} .(1 + \sqrt{3} )[/tex]

Hence , [tex]-\frac{1}{2} .(1 + \sqrt{3} )[/tex] is equivalent to the fraction below when x is an appropriate value .

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The required conversion of 10 miles per hour to kilometers per hour is given by 16.0934 kilometers per hour.

Conversion of miles to kilometer is :

One miles is equal to 1.60934 kilometers

Now substitute the required value we get,

10 miles = ( 10 ) × ( 1.60934 ) kilometers

⇒ 10 miles = ( 10 × 1.60934 ) kilometers

⇒ 10 miles = 16.0934 kilometers

Required conversion is :

10 miles per hour = 16.0934 kilometers per hour

Therefore, converted value of 10 miles per hour is equal to 16.0934 kilometers per hour .

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The extra income earned in monthly compounding is $142.04.

Compounding is defined as calculating interest on both the amount borrowed plus previous interest.

Given is that $10,000 is deposited into a savings account which is compounded monthly followed by compounded annually.

Annual compounding for 30 years -

Total money after annual compounding for 30 years -

T{A} = 10000 + (10000 x 0.023/1)^(30 x 1)

T{A} = $19,781.95

Monthly compounding for 30 years -

Total money after annual compounding for 30 years -

T{A} = 10000 + (10000 x 0.023/1)^(30 x 1)

T{A} = $19,923.99

Extra interest earned -

E = 19,923.99 - 19,781.95 = $142.04

Therefore, the extra income earned in monthly compounding is $142.04.

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Range of the function is the set {-6.5, -5, -2}.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Domain of the function is the input values of the function and Range of the function is the output values.

Given function is,

F(x) = 3/4 x - 5

Domain of the function is -2, 0 and 4.

F(-2) = (3/4 × -2) - 5 = -13/2 = -6.5

F(0) = (3/4 × 0) - 5 = 0 - 5 = -5

F(4) = (3/4 × 4) - 5 = 3 - 5 = -2

Range = {-6.5, -5, -2}

Hence the required range of the given function is {-6.5, -5, -2}.

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You will earn R450 in interest ($1500 x 0.10 x 3 = $450). Simple interest is calculated by multiplying the principal by the interest rate and the number of years.

The interest earned on a fixed deposit of R1500 at 10% p.a simple interest for 3 years will be R450.

To calculate the interest earned, we need to use the simple interest formula:

where I is the interest earned, P is the principal amount, r is the interest rate and t is the time period.

P = R1500

r = 10%

t = 3 years

I = 1500 * 0.10 * 3

I = R450

The interest rate of 10% per annum is the same for each year, and the interest is calculated on the initial principal, not the accumulated interest from previous years. This is why the formula for simple interest is so simple - the same calculation is applied each year, so the amount of interest earned increases each year, but at a slower rate than with compound interest.

The total amount of interest earned over the 3 years is R450, which is calculated by multiplying the principal by the interest rate and the number of years.

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Answer:

3y + 2

Step-by-step explanation:

10 + 2y - 8 + y = 2y + y + 10 - 8 = 3y + 2