Find the equation of the line that passes through (3,1) and is parallel to y = 2x + 3.
Leave your answer in the form y = mx + c

Answer:

a. f(x) = 21 (20) +1 (25) = 445

b. The scenario is a function because each student just have to pay once.

Answer:

31,7

Step-by-step explanation:

We divide 129 from 407 and multiply it by 100 to get percentage, then round

Intellectually gifted people score in the top 1 - 2percent on a standard IQ test.

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

IQ of intellectual gifted people

The general rule is that

People with intellectuals are usually ranked high and the range is usually small

Next, we test the options

A. 10

The top 10% has a high range

B. 5-10

The top 10% omits people in top 5%

C. 5

The top 5% has a high range

D. 1-2

This has a small range and it is the highest

Read more about IQ test at

https://brainly.com/question/31202174

#SPJ1

True value in logic refers to the accuracy or correctness of a statement or conclusion based on logical reasoning and evidence. In logic, it is important to determine the truth or falsehood of a statement to arrive at a valid conclusion.

A statement is considered to be true when it accurately represents reality. In formal logic, a statement is considered true if it can be logically deduced from a set of premises or axioms that are themselves considered to be true. This process of deduction is known as syllogism, and it is a fundamental principle of logical reasoning.

For example, consider the statement "All men are mortal." This statement is considered true because it has been logically deduced from the premise "Everyone who is born will eventually die" and the definition of "man." The conclusion that "All men are mortal" can be logically deduced from these premises and is therefore considered to be true.

In informal logic, the truth of a statement may be determined by evidence or observation. For example, the statement "The sky is blue" is considered to be true because it accurately represents the color of the sky as observed by a person.

It is important to note that the concept of truth in logic is not absolute and can be subjective in certain cases. Different people may have different beliefs or interpretations of what constitutes a true statement, and the validity of a conclusion can depend on the context and perspective of the person making the argument.

In summary, true value in logic refers to the accuracy or correctness of a statement or conclusion based on logical reasoning and evidence. In formal logic, a statement is considered true if it can be logically deduced from a set of premises, while in informal logic, it may be determined by evidence or observation.

Here you can learn more about true value

https://brainly.com/question/19599252#

#SPJ11

The final answers are a) 12 b)3/28 c) 2

In Maths, reciprocal is simply defined as the inverse of a value or a number. If n is a real number, then its reciprocal will be 1/n. It means that we have to convert the number to the upside-down form. For example, the reciprocal of 9 is 1 divided by 9, i.e. 1/9

Given here a) 4÷1/3 = 4×3

                                =12

                   b) 3/8÷7/2 = 2×3/8×7

                                     = 3/28

                   c) 3¹/₂ ÷7/4 = 7/2÷7/4

                                      = 2

Hence the answers are 12, 3/28 , 2

Learn more about reciprocals of a number here;

https://brainly.com/question/18634761

#SPJ1

The right answer is of option B.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

2.) 3(4 x - 4) - 7 x

Step-by-step explanation:

The length of the rectangular solid delivery box is 6 inches.

Volume of a rectangular solid, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units

It is given that, the volume of the delivery box is 540 cubic inches, the width of the delivery box is 3 inches longer than the length and the height is 4 inch longer than the length.

Width of the rectangular solid delivery box = (length + 3) inches

Height of the rectangular solid delivery box = (length + 4) inches

Now,

let us assume that the length of the rectangular solid delivery box is X.

So, Width = (X+3) inches and Height = (X+4) inches.

Volume of rectangular solid delivery box = Length × Width × Height

=> Length × Width × Height = 540 cubic inches.

After putting all the values in the above equation,

=> X × (X+3) × (X+4) = 540

=> X=6 inches

Therefore, the length of the rectangular solid delivery box is 6 inches.

To Learn about Volume : brainly.com/question/19754639

#SPJ4

Multiple integrals: volumes in physics, mass, and center of gravity in engineering, and supply-demand analysis in economics.

Physics: Multiple integrals are used to calculate the volume of three-dimensional objects. For example, in fluid mechanics, the volume of a fluid flow can be determined by integrating the velocity field over a specified region. This allows for the analysis of fluid dynamics and the prediction of behavior in various physical systems.

Engineering: Multiple integrals find application in engineering for determining mass or calculating the center of gravity of an irregularly shaped object. By integrating the density function over the object's volume, engineers can precisely determine its total mass and locate the point where the object balances.

Economics: Multiple integrals are used to evaluate multivariable functions that model complex economic systems. For instance, in economic analysis, integrating production and cost functions over specific intervals enables the assessment of supply and demand interactions. This aids in optimizing resource allocation, maximizing profit, and understanding market equilibrium.

Sample Calculation: In physics, consider finding the volume of a sphere with a radius r. Using a triple integral in spherical coordinates, we integrate ρ^2sin(φ) dρ dφ dθ over appropriate intervals to find the volume V = (4/3)πr^3.

To learn more about “economics” refer to the https://brainly.com/question/17996535

#SPJ11

The improper integral ∫ 1/x dx from 0 to ∞ is divergent. The improper integral ∫ 1/x dx from 0 to ∞ represents the integral of the function 1/x with respect to x over the interval from 0 to positive infinity.

To determine whether this integral is convergent or divergent, we need to evaluate it.

Let's split the integral into two parts: from 0 to 1 and from 1 to ∞.

∫(0 to 1) 1/x dx

This part of the integral is a finite integral, and it can be evaluated as:

∫(0 to 1) 1/x dx = [ln|x|] (0 to 1) = ln(1) - ln(0)

However, ln(0) is undefined, so this part of the integral does not converge.

Now let's evaluate the second part of the integral:

∫(1 to ∞) 1/x dx

This integral represents the area under the curve of the function 1/x from 1 to ∞. This is a well-known integral and is known to diverge. As x approaches infinity, the value of 1/x approaches 0, but it never reaches 0. Therefore, the area under the curve keeps increasing indefinitely, and the integral diverges.

Since either part of the integral diverges, the overall integral ∫ 1/x dx from 0 to ∞ is divergent.

Learn more about integral here: https://brainly.com/question/31059545

#SPJ11

Answer:

9 in 100 chances

Step-by-step explanation:

Answer:

14.50x > 85

Step-by-step explanation:

14.50x > 85

divide both sides by 14.5

x>85/14.5 = 5.86 hours

x has to be greater than 5.86 hours

The vertex of the parabola is (2, 16). This means that the average of couches sold in Germany was the greatest in the year 2013, which is 2 years after 2011.

The equation y = -0.25(x - 2)² + 16 models the average of couches sold in Germany, where x is the number of years since 2011 and y is the number of couches sold. We can find the year when the average of couches sold in Germany was the greatest by finding the maximum value of the equation.

To find the maximum value, we can first rewrite the equation in vertex form: y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

y = -0.25(x - 2)² + 16

y = -0.25(x² - 4x + 4) + 16

y = -0.25x² + x + 15

To find the vertex of the parabola, we can use the formula h = -b/2a and k = f(h), where f(h) is the value of y at the vertex.

h = -b/2a = -1/(2*(-0.25)) = 2

k = f(h) = -0.25(2)² + 2 + 15 = 16

Therefore, the vertex of the parabola is (2, 16). This means that the average of couches sold in Germany was the greatest in the year 2013, which is 2 years after 2011.

Learn more about parabola here: brainly.com/question/4074088

#SPJ4

Step-by-step explanation:

sin90 = sinx

19 17

sin x=0.8947

x=63.47°

(a) The weight of a bull elephant that is 2.5 meters tall and 38 years old is 4,500 kg.

(b) The difference in height between two bull elephants is 0.1 meters or 10 centimeters.

(c) A solution to the equation W(h, 45) = 4,800 would tell us the height of a 45-year-old bull elephant whose weight is 4,800 kg.

(a) The weight of a bull elephant depends on its height and age. In this case, when the elephant is 2.5 meters tall and 38 years old, its weight is determined to be 4,500 kg. This indicates that for an elephant with these specific characteristics, its weight is 4,500 kg.

(b): The expression 60 represents the difference in height between two bull elephants. It specifically denotes the height of a bull elephant that is 2.6 meters minus the height of a bull elephant that is 2.5 meters. This calculation gives us the precise height difference between the two elephants, which in this case is 0.1 meters or 10 centimeters.

(c) The equation W(h, 45) = 4,800 describes the relationship between the height and weight of a bull elephant at the age of 45. By solving this equation, we can determine the height of a 45-year-old bull elephant whose weight is 4,800 kg. It provides a specific value for the height of an elephant of a particular age and weight, allowing us to make accurate measurements and predictions about these characteristics.

Learn more about weight

brainly.com/question/28235829

#SPJ11

Answer:

-a^2*(a^2+21a+22)

best I can do

When balloons filled to capacity outdoors at a temperature of 25∘F are brought indoors where the temperature is 70∘F, they will expand and increase in size as they warm up. The increase in temperature causes the air molecules inside the balloons to gain energy and move more rapidly.

When the balloons are brought indoors where the temperature is 70∘F, the air inside the balloons will begin to warm up. As the temperature increases, the air molecules inside the balloons gain energy and start to move more rapidly. This increased movement of the air molecules causes them to collide with the walls of the balloons more frequently and with greater force.

The collision of the air molecules with the walls of the balloons creates pressure inside the balloons. As the pressure increases, the balloons will start to expand and stretch. This expansion occurs because the rubber material of the balloons is flexible and can accommodate the increased volume of air.

As the balloons continue to warm up, the expansion will become more noticeable. The balloons will increase in size and become tauter. This happens because the air molecules inside the balloons are now occupying a larger space due to the increase in temperature. The rubber material of the balloons stretches to accommodate the greater volume of air.

It's important to note that if the temperature difference is significant, the expanding balloons may eventually reach their limits and could potentially burst if they are unable to withstand the internal pressure. Therefore, it's crucial to consider the temperature conditions when filling balloons to avoid overinflation.

Learn more about Balloon expansion

brainly.com/question/14773644

#SPJ11

Answer:

\(x=\frac{1+\sqrt{11}i}{2} ,\frac{1-\sqrt{11}i}{2}\)

Step-by-step explanation:

1) Move all terms to one side.

\(3{x}^{2}-5x-10+3x-{x}^{2}+16=0\)

2)  Simplify \(3{x}^{2}-5x-10+3x-{x}^{2}+163x\) to \(2x^2-2x+6.\)

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

3)  Use the Quadratic Formula.

1) In general, given a\(a{x}^{2}+bx+c=0\) there exists two solutions where:

\(x=\frac{-b+\sqrt{b^2-4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}\)

2) In this case, \(a=2,b=-2\) and  \(c=6\).

\(x=\frac{2+\sqrt{(-2)^2-4\times2\times6} }{2\times2} ,\frac{2-\sqrt{(-2)^2-4\times2\times6} }{2\times2}\)

3) Simplify.

\(x=\frac{2+2\sqrt{11} i}{4} ,\frac{2-2\sqrt{11}i}{4}\)

4) Simplify solutions.

\(x=\frac{1+\sqrt{11}i}{2} ,\frac{1-\sqrt{11}i}{2}\)

Hope this helps,

- ROR

The size of angle x is \(61.2^{o\\}\)

Trigonometry is the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

From the diagram,

Using SOHCAHTOA which stands for:

SINE= OPPOSITE SIDE / HYPOTHENUSE SIDE

COS= ADJACENT SIDE/HYPOTHENUSE SIDE

TAN=OPPOSSITE SIDE/ ADJACENT SIDE

By applying the tangent trigonometric ratio

Tangent = Opposite side/ Adjacent side

\(tan(x) = \frac{20}{11} \\\)

\(tan(x) = 1.82\)

To find the size of angle x,

x =  \(tan^{-1}\)(1.82)

x = \(61.2^{o}\)

Using the tangent trigonometry, the size of angle x  is \(61.2^{o}\)

Learn more about  trigonometry on:https://brainly.com/question/24349828

#SPJ1

Answer:

A. (x+3)(x - 3)

Step-by-step explanation:

x^2 -9

Rewriting

x^2 - 3^2

We know that a^2 - b^2 = (a-b)(a+b)

(x-3)(x+3)

Answer:

\(\left(x+3\right)\left(x-3\right)\)

Step-by-step explanation:

\(x^2 -9\)

To factor an integer, we need to divide it by the ascending sequence of primes  (2, 3, 5). The number of times each prime divides the original integer becomes its exponent. \(3^{2} =9\)

Now, we need to factor this expression by applying the difference of two squares rule:

\(A^{2} -B^{2} =(A+B)(A-B)\)

A= x and B= 3

\((x+3)(x-3)\)

OAmalOHopeO

A quadrilateral shape called a trapezoid that has exactly one set of parallel sides. Isosceles Trapezoid: A trapezoid with congruent non-parallel sides.

A quadrilateral is a polygon with four vertices, four sides, and four angles, all of which add up to 360 degrees. The quadrilateral is formed by two triangles when the diagonals are drawn. The angle total for these two triangles is 180°. As a result, the quadrilateral has a 360° total angle.

With four sides, four vertices, and four angles, a quadrilateral is a closed shape and a specific kind of polygon. A quadrilateral's internal angles add up to 360 degrees in all cases. The four angles found at each vertex of a four-sided form are referred to as the interior angles of a quadrilateral and are the only angles in a quadrilateral. Every quadrilateral's internal angles add up to 360 degrees.

To learn more about quadrilateral refer to :

https://brainly.com/question/23935806

#SPJ1

Answer:

-3 = -3x

9x^2 = 9

4x = 4x^2

A p-value conveys the type of probabilistic result known as "statistical significance." Statistical significance refers to the likelihood that a given result occurred by chance.

A p-value is a measure of this likelihood, with a smaller p-value indicating a smaller likelihood that the result occurred by chance. In other words, a smaller p-value indicates a higher level of statistical significance.

For example, if a p-value is 0.01, this means that there is a 1% chance that the result occurred by chance. This is considered to be statistically significant, as it is unlikely that the result occurred by chance. On the other hand, if a p-value is 0.5, this means that there is a 50% chance that the result occurred by chance. This is not considered to be statistically significant, as it is equally likely that the result occurred by chance or not.

In summary, a p-value conveys the type of probabilistic result known as statistical significance, with smaller p-values indicating a higher level of statistical significance.

Know more about p-value here:

https://brainly.com/question/13786078

#SPJ11

16.67 cups of sugar, rounded to the nearest two decimals. As a result, Prahar would require approximately 16.67 cups of sugar to serve 20 people.

Using the original recipe, which serves six people, we can calculate how much of an ingredient Prahar would require for a 20-person serving. Let's pick the ingredient "cup sugar" and figure out how much we need.

The original dish:

6 servings = 5 cups sugar

We need to find how much sugar required for 20 servings. Let's set the percentage:

When we cross-multiply 6 servings with 5 cups of sugar, we get 20 servings with x cups of sugar.

6 * x cups of sugar = 5 * 20 servings 6x = 100 In order to isolate x, we divide both sides of the equation by 6:

x = 100 / 6 We can simplify the calculation by using either fractions or decimals:

x = 16.67 cups of sugar, rounded to the nearest two decimals. As a result, Prahar would require approximately 16.67 cups of sugar to serve 20 people.

To know more about Decimals, visit

brainly.com/question/28393353

#SPJ11

Answer:

See under for the sequence

Step-by-step explanation:

The term with -X⁴ comes first because 4 is the highest power of x.

Then comes 7x³y³ because 3 is the second highest power

Then 2x²y⁴ because 2 comes next

Then -3xy⁵ because x is raised to 1 power which is the lowest

Answer:

12cm

Step-by-step explanation:

Let x be the leg of the given isosceles triangle.

Then, the base of isosceles triangle = x+7

Consider the perimeter of the isosceles triangle, we get

x+x+x+7=43

3x+7=43

3x=36

x=12

hope this helps

Designing control charts involves two key issues: sample size and sampling frequency is a true statement.

Control Charts depict how the process [ data ] changes over time. It comprises a central line for average, lower line for the lower control limit and an upper line for upper control limit.

There are many types of control chart -X bar control chart.

Sample size can be defined as the number of measurement values  taken for a test feature .

Sampling frequency can be defined as the average number of samples obtained in one second.

Hence, designing control charts involves two key issues: sample size and sampling frequency is a true statement.

To understand more about control charts refer -

https://brainly.com/question/26478724

#SPJ4

Answer:

C. ⅓ × (8 + 7) + 12

Step-by-step explanation:

Let's translate each statement given to numerals and symbols first:

Twelve => 12

One-third => ⅓

Sum of 8 and 7 => (8 + 7)

Representing this statement altogether will be:

⅓ of (8 + 7) = ⅓ × (8 + 7)

If 13 is added, we would get:

⅓ × (8 + 7) + 12

Step-by-step explanation:

|2b - 9| = |b - 6|

|2b - b| = |-6 + 9|

|b| = |3|

b = 3

Hope I helped :)