how many axes of symmetry does a square have

Answer:

Step-by-step explanation:

20 - 8 =

12

12 / 4.99 =

2.40

Janelle can buy 2 snacks

20≥8+4.99

-8

12≥4.99

-4.99

7.01≥4.99

-4.99

2.02≥4.99 - Not true

Answer:

28/21

Step-by-step explanation:

tan= opposite/adjacent

Answer:

A parallel algorithm is a type of algorithm that is designed to run on multiple processors or processing units simultaneously, in order to solve a problem more efficiently or quickly than a sequential algorithm that runs on a single processor.

It's not the complete question

The function which is used to represent the graphed geometric sequence is

\(f(x) = 80{( \frac{1}{4}) }^{x - 1} \)

Let a be first term and r common ratio of the Geometric progression.

The Geometric sequence is of the form a,ar,ar^2, ...

The common ratio will be ar/a.

From the graph, we can find out the sequence as 80,20,5, ...

Here we can see that the sequence is in Geometric Progression.

First term a=80

Common ratio r= ar/a

= 20/80

=1/4

General term of Geometric sequence is

\(f(x) = a {r}^{x - 1} \)

Substituting the value a = 80 and r = 1/4,

we get,

\(f(x) =80 { (\frac{1}{4} )}^{x - 1} \)

Hence, the correct answer is

\(f(x) =80 { (\frac{1}{4} )}^{x - 1} \)

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Answer: y = \(\frac{-5x}{3} + \frac{152}{15}\)

Step-by-step explanation:

We know that if the equation is linear, it's in the form y = mx + c

Find the slope by finding the difference of of the y coordinates and dividing it by the difference of the x. \(\frac{3.3-6.3}{4.1-2.3}\) = \(\frac{-3}{1.8}\)  = \(\frac{-5}{3}\)

y = \(\frac{-5x}{3}\) + c Now find c by using one of the coordinates and substituting into x and y.

3.3 = \(\frac{-5(4.1)}{3}\) + c

c = \(\frac{152}{15}\)

So the equation is y = \(\frac{-5x}{3} + \frac{152}{15}\)

Answer:

Step-by-step explanation:

The statement "The sampling distribution of a sample proportion and the sampling distribution of the difference between two independent sample proportions both follow an approximately normal distribution" is true.

The distribution of sample proportions has a mean value equal to the population proportion, and a standard deviation equal to the square root of the product of (the population proportion times 1 minus the population proportion) divided by the sample size.

The sampling distribution of the difference between two independent sample proportions both follows an approximately normal distribution since if the conditions for the hypothesis test are met, the distribution of the difference in sample proportions follows a normal distribution with mean equal to the difference in population proportions and a standard deviation equal to the square root of the sum of the two sample proportions' variances.

The normal distribution is symmetric and bell-shaped, which means that it is useful for many applications because it is easy to work with and analyze.

Therefore, the statement "The sampling distribution of a sample proportion and the sampling distribution of the difference between two independent sample proportions both follow an approximately normal distribution" is true.

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Answer:

36.78

Step-by-step explanation:

You do

40.00

-3.22

borrow from 4

3 10

49.90

-3.22

36.78

The required greatest difference between the estimate and the true value is 45.

Given that,
Ethan needs to add together two whole numbers and wants to estimate the answer first. He rounds both numbers to 1 significant figure, which gives him 300 and 600 and adds them together to get an estimate of 900.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
For the estimated number 900, the least number that can be rounded to the number 900 is 855,
Now,
Difference  = 900 - 855 = 45

Thus, the required greatest difference between the estimate and the true value is 45.

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Answer:1212321312Step-by-step explanation:

2131313

The set of side measurements that could be used to form a right triangle is 5, 12, 13

A right triangle is a triangle in which one angle is  90° (right angle). That is two sides are perpendicular.

For a triangle to be a right triangle, Pythagoras' theorem must be applicable to sides i.e square hypotenuse = square of adjacent + square of opposite

For 17, 6, 20:

√(6² + 17²) = 18.03

This is not a right triangle

For 10, 15, 13:

√(10² + 15²) = 18.03

This is not a right triangle

For 5, 12, 13:

√(5² + 12²) = 13

This is a right triangle

For 9, 3, 11:

√(9² + 3²) = 9.49

This is not a right triangle

Therefore, the set of side measurements 5, 12, 13 could be used to form a right triangle.

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Answer:

C it could do both like 2/2=1 ....2/3=forever

After following a continuous uniform distribution we can say that the random variable will assume a value between 40 and 60 is 0.2.

If we assume that the random variable follows a continuous uniform distribution over a given range, we can calculate the probability using the formula:

Probability = (desired range) / (total range)

In this case, the desired range is 60 - 40 = 20, and the total range depends on the specific distribution. Let's assume a total range of 100 for illustrative purposes.

Probability = 20 / 100 = 0.2

Therefore, if we assume a continuous uniform distribution with a total range of 100, the probability that the random variable will assume a value between 40 and 60 is 0.2 (or 20% to 4 decimals).

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The function transformations are:

Transformations involve translating, reflecting, rotating and dilating a function across the coordinate plane

The parent function of a quadratic function is represented as:

y = x^2

When the function is stretched horizontally by a factor of k, where k is between 0 and 1, we have:

y = (x/k)^2

Assume k = 1/4. we have:

y = (4x)^2

This means that the function (c) y = (4x)^2 is stretched horizontally by a factor of 1/4

When the function is stretched vertically by a factor of k, where k is greater than 1, we have:

y = k(x)^2

Assume k = 4. we have:

y = 4x^2

This means that the function (d) y = 4x^2 is stretched vertically by a factor of 4

Translating the function left is represented as:

y = (x + k)^2

Assume k = 2. we have:

y = (x + 2)^2

Reflecting the function across the x-axis is represented as

y = -(x + 2)^2

When the function is compressed vertically by a factor of k, where k is between 0 and 1, we have:

y = -k(x + 2)^2

Assume k = 1/2. we have:

y = -1/2(x + 2)^2

Translating the function up is represented as:

y = -1/2(x + 2)^2 + k

Assume k = 4. we have:

y = -1/2(x + 2)^2 + 4

Hence, the function (a) y = -1/2(x + 2)^2 + 4 is translated to the left by 2 units, reflected across the x-axis, compressed vertically by a factor of 1/2 and translated up by 4 units

Translating the function right is represented as:

y = (x - k)^2

Assume k = 1. we have:

y = (x - 1)^2

Reflecting the function across the x-axis is represented as

y = -(x - 1)^2

Translating the function down is represented as:

y = -(x - 1)^2 - k

Assume k = 2. we have:

y = -(x - 1)^2 - 2

Hence, the function (b) y = -(x - 1)^2 - 2 is translated right by 1 unit, reflected across the x-axis, and translated down by 2 units

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The simplified expression for \(\( \frac{\sin 2 x}{1-\cos 2 x} \)\)  is\(. \( \cot x \)\) .

To simplify the given expression, we can use the double-angle identities for sine and cosine. The double-angle identity for sine states that \(\sin 2x = 2 \sin x \cos x\) and  the double-angle identity for cosine states that

\(\cos 2x = cos^{2} x - sin^{2} x\).

Substituting these identities into the expression, we have:

\(\( \frac{\sin 2 x}{1-\cos 2 x} \)\) = \(\frac{2 \sin x cos x}{1-(\cos^{2}x - \sin^{2} x) }\)

Rearranging the terms, we get:

Simplifying the denominator using the Pythagorean identity \(\cos^{2} x + \sin^{2} x\) = 1 we have:

\(\frac{2 \sin x cos x}{\cos^{2} x + \sin^{2} x-(\cos^{2}x - \sin^{2} x) }\) = \(\frac{2 \sin x cos x}{( \sin^{2} x+\sin^{2} x) }\) = \(\frac{2 \sin x cos x}{2( \sin^{2} x) }\) = \(\frac{\cos x}{sin x}\) = \(\cot x\)

Therefore, the simplified expression is \(\cot x\) , which is the correct answer.

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Answer:

24

Step by-step explanation:

6x=3x-1+13

common like terms (-1+13)

6x=3x+12

subtract 3x on both sides

3x=12

divide 3x on both sides

x=4

insert 4 into equation 6*4=24

3(4)-1+13=24

Answer:

Step-by-step explanation:

-1/y

Answer:

\(-a^{2} -a+12\)

Step-by-step explanation:

Use the FOIL method and multiply the equations into each other to get the final answer.

When peers at work offer suggestions to correct a weakness, it is important for the person to respond in a thoughtful and constructive manner.

Here are some guidelines for effectively addressing such suggestions:

Listen and be open-minded: Actively listen to the suggestions without becoming defensive or dismissive. Remember that your peers are offering their perspectives to help you improve. Keep an open mind and be willing to consider their viewpoints.

Express gratitude: Appreciate the effort and willingness of your peers to provide feedback. Thank them for their suggestions and acknowledge their input. Demonstrating gratitude fosters a positive and collaborative work environment.

Seek clarification, if needed: If you need further clarification on any of the suggestions, ask your peers for more information. This shows your commitment to understanding their feedback and ensures you can address the weakness effectively.

Reflect on the feedback: Take some time to reflect on the suggestions offered. Evaluate their validity and consider whether they align with your own self-assessment. Honest self-reflection is crucial in recognizing and addressing weaknesses.

Develop an action plan: Once you have understood the suggestions and reflected on them, create an action plan to address the weakness. Break down the steps you need to take to improve and set realistic goals for yourself. This proactive approach demonstrates your commitment to personal growth and professional development.

Seek support if necessary: If you require additional resources or assistance to address the weakness, don't hesitate to ask for help. Reach out to mentors, supervisors, or relevant professionals who can provide guidance or training. Collaborating with others can accelerate your progress in overcoming the weakness.

Communicate progress: Keep your peers informed about the steps you are taking to improve. Sharing your progress demonstrates your commitment to growth and allows them to see your efforts. It also encourages ongoing support and accountability from your colleagues.

Show resilience: Addressing weaknesses takes time and effort. Be prepared for setbacks and challenges along the way. Stay resilient and maintain a positive mindset, focusing on continuous improvement rather than being discouraged by temporary obstacles.

Remember, accepting and addressing weaknesses is a part of personal and professional growth. Embrace the feedback from your peers as an opportunity to enhance your skills and become a stronger professional.

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Answer:

Any number 15,791 or more than the Quartile 3.

Step-by-step explanation:

19,070 - 3,279 = 15,791 < outlier because it has a higher range than any number in the set.

If a very popular band has significantly more than 26,981 followers, it would be considered an outlier based on the upper bound calculated from the dataset's interquartile range.

In this context, an outlier is a data point that significantly deviates from the rest of the data. Outliers can be identified using the Interquartile Range (IQR) method, which involves calculating the lower and upper bounds for potential outliers.

Given the statistics we've provided:

Q1: 13,796 followers

Q3: 19,070 followers

IQR: 5,274 followers

The lower bound for potential outliers is calculated by subtracting 1.5 times the IQR from Q1:

Lower Bound = Q1 - 1.5 * IQR

Lower Bound = 13,796 - 1.5 * 5,274

Lower Bound = 13,796 - 7,911

Lower Bound = 4,885

The upper bound for potential outliers is calculated by adding 1.5 times the IQR to Q3:

Upper Bound = Q3 + 1.5 * IQR

Upper Bound = 19,070 + 1.5 * 5,274

Upper Bound = 19,070 + 7,911

Upper Bound = 26,981

If a very popular band has significantly more followers than the upper bound of 26,981, we would consider it an outlier in this dataset. For example, if a band had 30,000 followers, it would be considered an outlier because it's much higher than the upper bound.

However, keep in mind that determining outliers is not solely based on a fixed threshold like 1.5 times the IQR. It also involves considering the context of the data and the nature of the distribution. In some cases, certain bands might legitimately have a much larger following due to their popularity, and such values might not be true outliers in that context.

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Therefore, the area of the trapezoid is 6 square inches.

Area is a measure of the size of a two-dimensional surface or shape, such as a square, rectangle, circle, triangle, or any other polygon. It is usually measured in square units, such as square inches, square feet, square meters, or square centimeters. The area of a shape is calculated by multiplying the length of one side of the shape by the length of an adjacent side.

Here,

The formula for the area of a trapezoid is:

Area = (1/2) x (sum of parallel sides) x height

In this case, the parallel sides are 1.1 inches and 2.9 inches, and the height is 3 inches. So we can substitute these values into the formula and calculate the area:

Area = (1/2) x (1.1 + 2.9) x 3

Area = (1/2) x 4 x 3

Area = 6 square inches

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Answer:

3x-y+6=0.......(1)

y+2x=5........(2)

[m1]slope of line 1=- coefficient of x/coefficient of y=3

[m2]=slope of line 2=- coefficient of x/coefficient of y=-2

we have

tan ø=\( \frac{m1 - m2}{1 + m1m2} \)

tan ø=\( \frac{3+2}{1 + 3×-2} \)

tan ø=\( \frac{5}{-5} \)

tan ø=-1

ø=135°

obtuse angle between the pair of line is 135°

If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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The Box-Cox transformation is a type of transformation that applies to the dependent variable. It can be used when the dependent variable is not normally distributed.

It can also be applied when the errors (i.e., residuals) are not normally distributed.The Box-Cox transformation is a statistical technique that can be used to transform non-normal data into a more normal distribution. This can be useful for a variety of statistical analyses, such as regression analysis and hypothesis testing.

The Box-Cox transformation is named after George Box and David Cox, who developed the technique in the 1960s.

The Box-Cox transformation is a power transformation, which means that it is a function of the form y

λ

, where y is the original data and λ is a parameter. The value of λ is chosen to maximize the likelihood of the data.

The Box-Cox transformation can be used to improve the fit of a linear regression model when the dependent variable is not normally distributed. The transformation can also be used to improve the power of a hypothesis test when the residuals are not normally distributed.

The Box-Cox transformation is a versatile statistical technique that can be used to improve the analysis of non-normal data.

Here are some additional details about the Box-Cox transformation:

The Box-Cox transformation is a monotonic transformation, which means that it preserves the order of the data. This is important for statistical analyses, such as regression analysis, where the order of the data is important.

The Box-Cox transformation is a relatively simple transformation to implement. It can be easily implemented in most statistical software packages.

The Box-Cox transformation is a powerful tool for improving the analysis of non-normal data. It can be used to improve the fit of linear regression models, the power of hypothesis tests, and the interpretability of statistical results.

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Answer: 360

Step-by-step explanation:

done

(a) The language L1 = {(a,b): a,b ∈ Z+, a|b and b|a} is decidable. (b) The language L2 = {G=(V,E),s,t: s,t ∈ V and there is no path from s to t in G} is decidable. (c) The language L3 = Σ* is decidable. (d) The language L4 = {A: A is an array of integers that has an even number of elements that are even} is decidable.

(a) The language L₁ = {(a, b) : a, b ∈ Z⁺, a ∣ b and b ∣ a} is decidable.

L₁ represents the set of ordered pairs (a, b) where a and b are positive integers and a divides b, and b divides a. To prove that L₁ is decidable, we can construct a Turing machine that decides it.

The Turing machine can work as follows:

1. Given an input (a, b), where a and b are positive integers, the machine can start by checking if a divides b and b divides a simultaneously.

2. If both conditions are satisfied, i.e., a divides b and b divides a, the machine halts and accepts the input (a, b).

3. If either condition is not satisfied, the machine halts and rejects the input (a, b).

This Turing machine will always halt and correctly decide whether (a, b) belongs to L₁ or not. Therefore, we can conclude that the language L₁ is decidable.

Keywords: L₁, language, decidable, positive integers, divides, Turing machine.

(b) The language L₂ = {G = (V, E), s, t : s, t ∈ V and there is no path from s to t in G} is decidable.

L₂ represents the set of directed graphs G = (V, E) along with two vertices s and t, such that there is no path from s to t in G. To prove that L₂ is decidable, we can construct a Turing machine that decides it.

The Turing machine can work as follows:

1. Given an input G = (V, E), s, t, the machine can start by performing a depth-first search (DFS) or breadth-first search (BFS) algorithm on the graph G, starting from vertex s.

2. During the search, if the machine encounters the vertex t, it halts and rejects the input since there exists a path from s to t.

3. If the search completes without encountering t, i.e., there is no path from s to t, the machine halts and accepts the input.

This Turing machine will always halt and correctly decide whether the input (G, s, t) belongs to L₂ or not. Therefore, we can conclude that the language L₂ is decidable.

Keywords: L₂, language, decidable, directed graph, vertices, path, Turing machine.

(c) The language L₃ = Σ* represents the set of all possible strings over the alphabet Σ. This language is decidable.

The language L₃ includes any string composed of any combination of characters from the alphabet Σ. Since there are no constraints or conditions imposed on the strings, any given input can be recognized and accepted as a valid string.

To decide the language L₃, a Turing machine can simply scan the input string and halt, accepting the input regardless of its content. This Turing machine will always halt and accept any input, making the language L₃ decidable.

Keywords: L₃, language, decidable, alphabet, strings, Turing machine.

(d) The language L₄ = {A: A is an array of integers that has an even number of elements that are even} is decidable.

L₄ represents the set of arrays A consisting of integers, where the array has an even number of elements that are even. To prove that L₄ is decidable, we can construct a Turing machine that decides it.

The Turing machine can work as follows:

1. Given an input array A, the machine can start by counting the number of even elements in the array.

2. If the count is even, the machine

halts and accepts the input, indicating that A satisfies the condition of having an even number of even elements.

3. If the count is odd, the machine halts and rejects the input since A does not meet the requirement.

This Turing machine will always halt and correctly decide whether the input array A belongs to L₄ or not. Therefore, we can conclude that the language L₄ is decidable.

Keywords: L₄, language, decidable, array, integers, even elements, Turing machine.

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Answer:

k^20/m^15

reason is because you're multiplying ^3 , ^4 with ^-5, the -5 turn positive since you flip the fraction/division