Write a function rule for "The output is one-third of the input x"

Answer:

their wavelength

Explanation:

A wave refers to disturbances or vibrations that travel from one medium or vacuum to another in an organized way, while wavelength refers to the distance between two consecutive peaks of waves.

For example, the wavelength of green light is 550nm (nanometre), while that of yellow light is 580nm (nanometre).  

This difference in the color of the flashlights is visible to the human eyes because the human eye is believed to be able to detect any wavelengths of light from 700 nanometres to about 400 nm for violet light.

The expected value was already calculated as:

The expected value is the mean value you would get per try.

Since we played 623, the expected value is 623 times the expected valu for a single play, so:

So, the expected value after playing 623 times is to -$2012.29, that is, lose $2012.29.

The statements "The y-intercept of Function A is greater than the y-intercept of Function B"  and  "The rate of change of Function A is greater than the rate of change of Function B" are true.

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the codomain), with the property that each input is related to exactly one output. In other words, a function takes an input value and produces a corresponding output value. For example, the function f(x) = 2x takes an input value of x and produces an output value that is twice the input value. Functions are used to model relationships between variables in various fields, such as physics, engineering, economics, and computer science.

Here,

Function A is represented by the equation y = 2x + 5. This equation is in slope-intercept form, where the coefficient of x (2 in this case) represents the slope or rate of change of the function and the constant term (5 in this case) represents the y-intercept. Therefore, the rate of change of Function A is 2, which means that for every increase of 1 unit in x, the corresponding increase in y is 2 units. On the other hand, for Function B, we can observe from the table that the rate of change is not constant. For example, when x changes from 1 to 3, y changes from 2 to 8, which gives a rate of change of (8-2)/(3-1) = 3. Similarly, when x changes from 3 to 4, y changes from 8 to 11, which gives a rate of change of (11-8)/(4-3) = 3. And when x changes from 4 to 7, y changes from 11 to 20, which gives a rate of change of (20-11)/(7-4) = 3. So, the rate of change of Function B is 3 for the given values of x.

Since the y-intercept of Function A is 5, which is greater than all the y-values of Function B, we can conclude that "The y-intercept of Function A is greater than the y-intercept of Function B". Similarly, since the rate of change of Function A is 2, which is greater than the rate of change of Function B (which is 3), we can conclude that "The rate of change of Function A is greater than the rate of change of Function B".

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Answer:

its C. (3,7)

Step-by-step explanation:

Answer:The solution is in the attached file

Step-by-step explanation:

The integral of 7/3*f(x) dx will lie between (7/3)*m and (7/3)*M. So the two values are (7/3)*m and (7/3)*M, and the answer from smallest to largest is: (7/3)*m, (7/3)*M.
Hi! I'd be happy to help you with this question. Suppose f has an absolute minimum value m and an absolute maximum value M. We need to find the range between which the integral 7∫3 f(x) dx must lie.

Step 1: Identify the minimum and maximum values of f(x).
Since f has an absolute minimum value m and an absolute maximum value M, we can write:

f(x) ≥ m and f(x) ≤ M for all x in the interval [3, 7].

Step 2: Determine the bounds for the integral.
Now, let's multiply both sides of these inequalities by the width of the interval, which is (7 - 3) = 4.

4m ≤ 4f(x) ≤ 4M

Step 3: Integrate both sides of the inequalities.
Now, integrate each part of the inequalities from 3 to 7:

4m(7 - 3) ≤ ∫7∫3 f(x) dx ≤ 4M(7 - 3)

Step 4: Simplify the inequalities.
16m ≤ 7∫3 f(x) dx ≤ 16M

So, the integral 7∫3 f(x) dx must lie between 16m and 16M, with 16m being the smallest value and 16M being the largest value.

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Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.

This can result in the same mean value for both samples, but different levels of variability.

Here's an example bar graph to illustrate this concept:

     Sample 1                Sample 2

 ╭────────────────╮   ╭────────────────╮

 │      Mean      │   │      Mean      │

 ├────────────────┤   ├────────────────┤

 │                │   │    ╭─╮         │

 │                │   │    │ │         │

 │                │   │    │ │         │

 │                │   │    ╰─╯         │

 │     o o o      │   │  o o o o o o  │

 │                │   │                │

 │                │   │                │

 │                │   │                │

 ╰────────────────╯   ╰────────────────╯

     Std. Dev.            Std. Dev.

In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.

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Answer:

B

Step-by-step explanation:

$25 + $45 + $12 = $82

$25 * $5 = $125

$125 - $82 = $43

$43/5 = $8.6

In various settings, such as work or school, measures of location, measures of variability, and measures of association can provide valuable insights and aid in interpreting data.

Let's consider an example from a work setting where employee performance data is collected

Measures of location, such as the mean or median, can illustrate an important aspect of employee performance. By calculating the mean performance score, we can identify the average level of performance across the organization. This measure helps us understand the central tendency of the data and provides a benchmark to assess individual employee performance against the average. If the mean performance score is low, it indicates the need for improvement in overall performance.

Measures of variability, such as the standard deviation, can indicate the spread or dispersion of performance scores. A high standard deviation suggests a wide range of performance levels among employees, indicating a lack of consistency. This insight prompts organizations to investigate the underlying factors contributing to the variability and identify areas for improvement in training, resources, or performance management processes.

Furthermore, measures of association, such as correlation coefficients, can help identify relationships between variables. For example, we can explore the correlation between employee performance scores and factors like years of experience, education level, or training hours. Understanding these associations can guide decision-making processes, such as designing targeted training programs for employees who exhibit a lower correlation between training hours and performance.

By applying these measures and interpreting the data, organizations can gain valuable insights into employee performance. This understanding can lead to improved decision-making, such as identifying areas for performance improvement, optimizing resource allocation, and implementing targeted interventions to enhance overall productivity and success within the work setting.

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Answer:

-5(3y+8)

Step-by-step explanation:

Answer:

-5(3y+8)

Step-by-step explanation:

no explanations

Answer:

Step-by-step explanation:

18/24=3/4

Hamiltonian due to interaction of spin magnetic field:

H = -u.B

H = α/√2\(\left[\begin{array}{ccc}1&1\\1&-1\\\end{array}\right]\)

What is a matrix?

In mathematics, a matrix (multiple matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, and used to represent mathematical objects or properties of such objects. The

matrix represents a linear mapping without additional information and allows explicit computation in linear algebra. The study of matrices is therefore a large part of linear algebra, and most properties and operations in abstract linear algebra can be expressed in matrices. For example, matrix multiplication represents the construction of linear maps.

Not all matrices are related to linear algebra. This is especially true for graph theory, occurrence matrices, and adjacency matrices. This article focuses on matrices in the context of linear algebra. Unless otherwise stated, all matrices either represent linear maps or can be considered linear maps.

Square matrices (matrices with the same number of rows and columns) play an important role in matrix theory. Square matrices of a given dimension form non-commutative rings, one of the most common examples of non-commutative rings. The determinant of a square matrix is ​​the numerical value associated with the matrix that underlies the study of square matrices. For example, a square matrix has nonzero determinant and is invertible only if the eigenvalues ​​of the square matrix are the roots of the polynomial determinant.

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Answer:

Amount = 3 + 2t

Amount pay for 2 hours = $7

Amount pay for 4 hours = $11

Amount pay for 2 hours = $10

Step-by-step explanation:

Given:

Fixed charges = $3

Variable charges = $2 per hour

Find:

Amount pay

a) 2 hours? b) 4 hours? c) 3 1/2 hours?

Computation:

Assume time = t

So,

Amount = 3 + 2t

Amount pay for 2 hours = 3 + 2t = 3 + 2(2) = $7

Amount pay for 4 hours = 3 + 2t = 3 + 2(4) = $11

Amount pay for 2 hours = 3 + 2t = 3 + 2(3 1/2) = $10

So

The statement that ,"distribution of sample​ mean(μ) will be normally distributed if sample is obtained from population that is normally​ distributed, regardless of sample size(n)" is True .

What is Normal Distribution ?

A Normal Distribution is a distribution that describes a symmetrical plot of data around the mean value, where width of curve is defined by standard deviation.

the Central Limit Theorem states that , for a normally distributed random variable "X" , with mean "μ" and standard deviation "σ" , the sampling distribution of the sample means with size "n" can be approximated to a normal distribution with mean  and standard deviation  is s = σ/√n   .

So , sample size restriction is only for non normal underlying distribution,

Therefore , by Central Limit Theorem the given statement is True .

The given question is incomplete , the complete question is

The distribution of the sample​ mean (μ), will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size . Is the statement True or False ?

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The single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

Identify the sign bit. In this case, the number is positive, so the sign bit is 0.

Convert the decimal number to binary. The decimal number 0.5625 (or 9/16) can be converted to binary as follows: 0.1001.

Convert the 32-bit binary number to hexadecimal. To do this, group the binary number into blocks of 4, from right to left, and convert each block into its hexadecimal equivalent:

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0001 -> 1

0000 -> 0

0111 -> 7

1110 -> E

0 -> 0

So, the single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

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Answer:

18

Step-by-step explanation:

volume= r × h = 2 × 9= 18

Answer:

The volume is 144\(\pi\).

Step-by-step explanation:

In order to calculate the volume of a cylinder, you have to find the area of it's base. Because a cylinder's base is a circle, you use the formula A=\(\pi r{2}\). Substituting in the radius's length would be A=\(\pi (4){2}\), which is A=16\(\pi\). Now that we know the base area of the cylinder, we multiply it by the height, which is 9 to calculate the volume. Therefore, the volume of the cylinder would be 9×16\(\pi\), which is 144\(\pi\).

A square-based box with an open top and volume of 4,000 cm³ has minimum surface area when its dimensions are 10√2 cm by 10√2 cm by 20√2 cm.

Let's assume that the box has a square base with side length x and height h. Then, its volume is given by:

V = x^2 * h

We are given that the volume is 4,000 cm³, so we can write:

x^2 * h = 4,000

Solving for h, we get:

h = 4000 / x^2

The amount of material used to construct the box is the sum of the areas of its five faces (four sides and the base). Since the box has an open top, we don't need to consider its area. The area of the base is x^2, and the area of each side is x times the height h. Thus, the total surface area A of the box is given by:

A = x^2 + 4xh

Substituting the expression we found for h, we get:

A = x^2 + 4x(4000 / x^2)

Simplifying and factoring out 4, we get:

A = 4(x^2 + 1000/x)

To find the dimensions of the box that minimize the amount of material used, we need to find the value of x that minimizes A. We can do this by taking the derivative of A with respect to x and setting it equal to zero:

dA/dx = 8x - 4000/x^2 = 0

Solving for x, we get:

x = 10√2

Substituting this value back into the expression we found for h, we get:

h = 20√2

Therefore, the dimensions of the box (in cm) that minimize the amount of material used are:

side length of the base: 10√2 cm

height: 20√2 cm

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The solution to the inequality f(x) ≤ 0 is the interval [-6, 2]. In other words, the values of x that satisfy the inequality are those that lie between -6 and 2, inclusive.

To solve the inequality f(x) ≤ 0, we need to find the values of x for which the function f(x) is less than or equal to zero.

We start by factoring the quadratic expression f(x) = x^2 + 4x - 12:

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

Setting this expression to zero, we get:

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

This gives us two solutions: x = -6 and x = 2.

Now, we need to determine the sign of f(x) in the intervals between these two solutions. We can use a sign chart to do this:

x f(x)

-∞ +

-6 0

2 0

+∞ +

From the sign chart, we see that f(x) is positive for x < -6 and for x > 2, and it is negative for -6 < x < 2.

To summarize, the solution to the inequality f(x) ≤ 0 for the function f(x) = x^2 + 4x - 12 is the interval [-6, 2].

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=======================================================

Explanation:

The inscribed angle 20 degrees doubles to 2*20 = 40 which is the measure of the central angle, and the arc in which the inscribed angle subtends (or cuts off). This is due to the aptly named inscribed angle theorem.

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

A slightly longer alternative path would be to do this:

The triangle with interior angles 20 and c is isosceles. Note how the missing angle up top is one of the congruent base angles, so the missing angle is 20 degrees. That means angle c is...

20+20+c = 180

40+c = 180

c = 180-40

c = 140

Then angle b is supplementary to this

b+c = 180

b+140 = 180

b = 180-140

b = 40

This path leads to the same answer. It's slightly longer, but it's a path you can take if you aren't familiar with the inscribed angle theorem.

In fact, this line of thinking is effectively how the inscribed angle theorem is proved as shown in the diagram below.

The hypotenuse of 4th triangle be \(2\sqrt{2}\\\)

The hypotenuse of 100th triangle be \(2\sqrt{26}\\\)

The hypotenuse of nth triangle be \(\sqrt{4+n}\\\)

Given, that Triangles be drawn according to the spiraling pattern

let hypotenuse of 1st triangle be \(h_{1}\), hypotenuse of 2nd triangle be \(h_{2}\) and so on.

as, we know Pythagoras theorem i.e.

\(hypotenuse^{2} = base^{2} + perpendicular^{2}\)

In 1st triangle,

base = 2 units and perpendicular = 1 unit

On applying Pythagoras theorem in 1st triangle, we get

\(h_{1}^{2}=2^2 +1^2\)

\(h_{1}^2=5\\ h_{1} = \sqrt{5}\) ... (1)

Now, hypotenuse of 1st triangle will be the base of 2nd triangle

so, In 2nd triangle,

base = \(\sqrt{5}\) units and perpendicular = 1 unit

On applying Pythagoras theorem in 2nd triangle, we get

\(h_{2}^2 = \sqrt{5}^2 + 1^2\)

\(h_{2}^2=5+1\\h_{2}^2=6\\ \\h_{2}=\sqrt{6} \\\)... (2)

Now, observing Eq (1) and Eq (2) we can define a rule to find the hypotenuse of nth triangle i.e.

\(h_{n}=\sqrt{4+n}\)

So, the hypotenuse of the 4th triangle be

\(h_{4}=\sqrt{4+4}\\ h_{4}=\sqrt{8}\\ h_{4}=2\sqrt{2}\)

Also, the hypotenuse of the 100th triangle be

\(h_{100}=\sqrt{100+4}\\ h_{100}=\sqrt{104}\\ h_{100}=2\sqrt{26}\)

The hypotenuse of 4th triangle be \(2\sqrt{2}\\\)

The hypotenuse of 100th triangle be \(2\sqrt{26}\\\)

The hypotenuse of nth triangle be \(\sqrt{4+n}\\\)

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This scene is an example of dramatic irony used to create suspense since the audience knows that this joyous occasion will ultimately lead to tragedy.

In the scene, Lord Capulet is preparing for his daughter Juliet's wedding to Paris, while the audience knows that Juliet is already secretly married to Romeo. Lord Capulet's excitement and eagerness to prepare for the wedding create suspense and tension for the audience, who knows that this joyous occasion will ultimately lead to tragedy.

Furthermore, the use of music within the scene also adds to the suspense. The audience hears the music, which signifies the arrival of the wedding party, but also knows that this will lead to the revelation of Juliet's secret marriage.

The urgency in Lord Capulet's instructions to the Nurse to wake up Juliet and make haste heightens the tension for the audience, who are aware of the impending disaster.

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Complete Question:

Read the excerpt from Act IV, scene iii of Romeo and Juliet.

Capulet Good faith! this day:

The county will be here with music straight,

For so he said he would. [Music within.] I hear him near.

35

This scene is an example of dramatic irony used to create suspense since the audience knows that

The calculation involves the use of numerical approximations, which can lead to slight variations in the results due to rounding errors. Therefore, it is common for calculated values to differ slightly between different computer programs.

The calculation of the area involves the use of numerical approximations, which can lead to rounding errors. These errors arise due to the finite precision of numerical calculations, which means that some values cannot be represented exactly in a computer's memory. Instead, they are approximated by rounding them to the nearest representable value.

The difference in the calculated area between the two classmates can be attributed to the different rounding methods used in their programs. Even though both programs may be using the same formula, slight differences in the way the calculations are carried out can result in slightly different values due to rounding errors. This is especially true when the calculation involves the use of transcendental functions like pi, which cannot be represented exactly as a finite decimal.

In conclusion, slight differences in calculated values between different computer programs are common due to the use of numerical approximations and rounding errors. Therefore, it is important to be aware of these limitations and to use appropriate methods to minimize their effects when performing calculations.

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Answer:

B

Step-by-step explanation:

2 is hundred = 2x100

0 is tens =0x10

4 is unit =4 x 1

All numbers after the decimal point to the right are fractions

0 is tenth = 0/10 =0

1 is hundredth =1/100

7 is thousandth 7/1000

Now you can choose the right answer

Answer:

The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.

Answer:

The base of the triangle has a length of 26 meters, and the height of the triangle has a length of 13 meters.

Step-by-step explanation:

Equation to find the height: \(\frac{2x*x}{2} = 169\) ⇒ \(x^2=169\) ⇒ \(x=13\) meters.

Applying the angle of intersecting secants theorem, the measure of angle ACE = 35°.

Referring to the image given below in the attachment, we have two secants, lines AC and EC, which intersect to form an angle outside the circle at point C. According to the angle of intersecting secants theorem, the measure of angle ACE formed is half the difference of the measures of the intercepted arcs AE and BD.

This means that, measure of angle ACE = 1/2(arc AE - arc BD).

Measure of arc AE = 100°

Measure of arc AE = 30°

Substitute

m<ACE = 1/2(100 - 30)

m<ACE = 70/2

m<ACE = 35°

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Answer:

0

Step-by-step explanation:

you dont own any tickets, so how can you have any probability of winning? 2000 other people, or at least 2000 other tickets are owned by other people than you.

Answer:

$105

Step-by-step explanation:

5 + 1 (100)

5 + 100

105

Answer:

Flower shop

23.15

Step-by-step explanation:

Bakery Job:

16.5 * 8.50 = 140.25

Flower Shop:

21.5 * 7.60 = 163.4

She would earn more moeny working in the Flower Shop!

She would earn $23.15 more than working in the Bakery ( I subtracted 163.40 by 140.25 to find the difference between the two jobs)

Thank you, ps can u please give me brainly :3

Answer:

121

Step-by-step explanation:

EDG 21

Answer:

121

Step-by-step explanation: