Is it a function yes or no

The given information is:

- They surveied 164 pet owners

- 61 own a dog

- 66 own a cat

- 11 own both a dog and a cat

We have to find how many owned neither a cat nor a dog.

We can represent this survey in the following diagram:

To find the solution we need to subtract the number of people who said they own a dog, own a cat, and own both, from the total number of people in the survey, so:

The people who own neither a dog nor a cat are 26.

1 ,3, 1

The first one is 1 the second is 3 and the last one is 1

Quick sort will be guaranteed to run in O(n log n) time when the pivot element is chosen in a way that partitions the array into approximately equal halves.

Quick sort is a sorting algorithm that uses divide-and-conquer to sort an array or list of elements. The algorithm works by partitioning the array into two subarrays, one containing all elements smaller than a chosen pivot element, and the other containing all elements larger than the pivot.

The pivot element is then placed between the two subarrays and the process is repeated recursively on each subarray until the entire array is sorted.

Quick sort is generally considered to have an average case time complexity of O(n log n), which means that the algorithm will take proportional to n log n time to sort an array of n elements on average. However, in the worst case, the time complexity of quick sort can be O(n^2), which can occur when the pivot is consistently chosen as the smallest or largest element in the array, leading to an unbalanced partitioning of the array.

To guarantee that quick sort will run in O(n log n) time, it is important to choose a good pivot element that is representative of the entire array and leads to a balanced partitioning of the elements. This can be done by using a randomized pivot selection or by choosing a median-of-three pivot selection that takes the median of the first, middle, and last elements of the array as the pivot. Additionally, choosing a good partitioning scheme that minimizes the number of comparisons and swaps required can also improve the time complexity of the algorithm.

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If the initial value problem is \(y^{11} -8y^{1} -15y=0\) and \(y^{1}(0) =1\),y(0)=0 then y(t)=\((e^{3t} -e^{5t} )/2\).

Given the initial value problem be   \(y^{11} -8y^{1} -15y=0\)and  \(y^{1}(0) =1\),y(0)=0.

We are required to find the solution of the given initial value problem.

Laplace transform is an integral transformation that converts a function of a real variable to a function of a complex variable.

Take laplace on the DE, we get

\(s^{2}-sY(0)-y^{i}(0)-8[sY(s)-y(0)-15Y(s)]=0\)

\(s^{2}Y(s)-s(0)-1-8{sY(s)-0)}+15Y(s)=0\)

(Putting the values given in question)

Y(s)=(\(s^{2} -8s+15)-1=0\)

Y(s)=1/(\(s^{2} -8s+15\))

Simplifying the above:

=1/(\(s^{2} -5s-3s+15)\)

=1/[s(s-5)-3(s-5)]

=1/2 [1/(s-3)-1/(s-5)]

Taking inverse of the above we get,

y(t)=\((e^{3t} -e^{5t} )/2\)

Hence if the initial value problem is \(y^{11} -8y^{1} -15y=0\) and \(y^{1}(0) =1\),y(0)=0 then y(t)=\((e^{3t} -e^{5t} )/2\).

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we get that:

so the answer is x=-6

Answer:

x ≥ -10

Step-by-step explanation:

Given equation,

→ 5x + 13 ≥ -37

Now the value of x will be,

→ 5x + 13 ≥ -37

→ 5x ≥ -37 - 13

→ x ≥ -50/5

→ [ x ≥ -10 ]

Hence, the value of x is -10.

Two organ systems that help maintain homeostasis after exercise are the respiratory system and the cardiovascular system.

1. Respiratory System:

During exercise, the increased activity of muscles leads to an increased demand for oxygen, and as a result, the cells produce more carbon dioxide (CO2) as a byproduct of cellular respiration. The respiratory system plays a vital role in maintaining homeostasis by regulating the levels of oxygen and carbon dioxide in the body.

After exercise, the respiratory system responds by increasing the rate and depth of breathing. This elevated ventilation allows for a greater intake of oxygen from the inhaled air. The oxygen-rich air enters the lungs, where it diffuses across the thin walls of the alveoli and into the bloodstream. Simultaneously, the increased ventilation facilitates the removal of carbon dioxide from the bloodstream into the alveoli, ready to be exhaled.

By adjusting the rate and depth of breathing, the respiratory system helps restore homeostasis by replenishing oxygen levels and eliminating excess carbon dioxide. This ensures that the body's cells receive the necessary oxygen for energy production while preventing the buildup of carbon dioxide, which can be detrimental if allowed to accumulate.

2. Cardiovascular System:

The cardiovascular system, composed of the heart, blood vessels, and blood, works in conjunction with the respiratory system to maintain homeostasis after exercise. Its primary function is to deliver oxygen and nutrients to the tissues while removing waste products, including carbon dioxide.

During exercise, the cardiovascular system responds to the increased demand for oxygen and the accumulation of carbon dioxide. The heart rate increases, leading to a higher cardiac output. The cardiac output is the amount of blood pumped by the heart per minute, and it increases to meet the heightened oxygen requirements of the active muscles.

As the heart pumps more vigorously, blood flow to the muscles is enhanced. This allows for the delivery of oxygen and nutrients to the working tissues, promoting their optimal function. Simultaneously, the increased blood flow facilitates the removal of carbon dioxide produced during exercise.

The blood vessels also play a role in maintaining homeostasis after exercise. They undergo vasodilation, which means the blood vessels widen to accommodate the increased blood flow to the muscles. This vasodilation helps dissipate heat generated during exercise and allows for efficient oxygen and nutrient delivery to the tissues.

Together, the respiratory system and the cardiovascular system work synergistically to maintain homeostasis after exercise. The respiratory system ensures an adequate supply of oxygen and the elimination of excess carbon dioxide, while the cardiovascular system delivers oxygen and nutrients to the tissues while removing waste products. This coordinated effort helps restore the body's internal balance and supports efficient cellular function.

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Answer:

B)

Step-by-step explanation

I am not sure

The characteristic polynomial of T splits,  the characteristic polynomial of the restriction of T to any T-invariant subspace of V also splits.

To prove the given statement, we need to show that if the characteristic polynomial of a linear operator T on a finite-dimensional vector space V splits, then the characteristic polynomial of the restriction of T to any T-invariant subspace of V also splits.

Let U be a T-invariant subspace of V. We want to show that the characteristic polynomial of T restricted to U splits.

First, let's consider the minimal polynomial of T, denoted by \(m_T_{(x).\)Since the characteristic polynomial of T splits, we know that it can be written as \(c(x-a_1)^{m_1}(x-a_2)^{m_2}...(x-a_k)^{m_k}\), where \(a_1, a_2, ..., a_k\) are distinct eigenvalues of T, and \(m_1, m_2, ..., m_k\) are their respective multiplicities.

Since U is T-invariant, it means that for any u ∈ U, T(u) ∈ U. Thus, the restriction of T to U, denoted by \(T|_U,\) is a well-defined linear operator on U.

Now, let's consider the minimal polynomial of T restricted to U, denoted by m_{T|U}(x). We want to show that m{T|_U}(x) splits.

For any eigenvalue λ of T|_U, there exists a nonzero vector u ∈ U such that T|_U(u) = λu. This implies that T(u) = λu, so u is also an eigenvector of T associated with the eigenvalue λ.

Since the characteristic polynomial of T splits, we have λ as one of the eigenvalues of T. Hence, the minimal polynomial m_T(x) must have a factor of (x-λ) in its factorization.

Since m_T(x) is also the minimal polynomial of T restricted to U, it follows that m_{T|_U}(x) must also have a factor of (x-λ) in its factorization.

Since this argument holds for any eigenvalue λ of T|_U, we conclude that the characteristic polynomial of T restricted to U,

given by det(xI - T|_U), can be factored as (x-λ_1\()^{n_1}\)(x-λ_2\()^{n_2}\)...(x-λ_p\()^{n_p},\)

where λ_1, λ_2, ..., λ_p are the distinct eigenvalues of T|_U, and n_1, n_2, ..., n_p are their respective multiplicities.

Therefore, we have shown that if the characteristic polynomial of T splits, then the characteristic polynomial of the restriction of T to any T-invariant subspace of V also splits.

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Labor productivity in this case is equal to 10 baskets.

When eight weavers are employed, and output is 80 baskets, labor productivity is equal to 10 baskets.

A labor productivity measure is a way of estimating the amount of output generated per unit of labor.

The following formula is used to calculate labor productivity:

                               Total output produced / Total number of workers involved in the production.  

Therefore, in this case, labor productivity will be equal to the total output produced divided by the total number of weavers employed.

Mathematically, Labor productivity = Total output produced / Total number of weavers employed

Given,The number of weavers employed, n = 8Output produced, Y = 80 baskets

Substitute the above values into the formula for labor productivity,

                        Labor productivity = Total output produced / Total number of weavers employed

                                                   = 80 / 8= 10

Thus, labor productivity in this case is equal to 10 baskets.

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The probability that a randomly selected event of washing dishes will take a person between 12 and 15 minutes is 0.33 or 33%.

Uniform distribution is a probability distribution where all outcomes are equally likely. In this case, the time it takes to wash dishes is uniformly distributed between 8 and 17 minutes. This means that any time between 8 and 17 minutes is equally likely to occur.

To find the probability that a randomly selected event of washing dishes will take a person between 12 and 15 minutes, we need to find the area under the curve of the uniform distribution function between 12 and 15 minutes.

Since the distribution is uniform, the area under the curve between 12 and 15 minutes is simply the width of the interval divided by the total width of the distribution. Mathematically, we can express this as:

P(12 ≤ X ≤ 15) = (15 - 12) / (17 - 8)

P(12 ≤ X ≤ 15) = 3 / 9

P(12 ≤ X ≤ 15) = 0.33 or 33%.

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By using given figure, x=9/4 and the length of GH = 21.75.

What is the length ?

Here, in given figure,

BG≈GF and CH≈HE

now by using these similarities, we can write as,

BG≈GF therfore, \(\frac{GF}{BG}\) = 1:1

\(\frac{GF}{BF}\)=\(\frac{4x+8}{34}\)

1/2=\(\frac{4x+8}{34}\)

8x+16=34

8x= 18

x=9/4

if x=9/4 then,

GH= 7x+6 = 7(9/4)+6 =63/4+6 =\(\frac{63+24}{4}\) = 21.75

What is similarity of sides?

similarity of sides refers to the property of two geometric shapes or figures having the same shape but not necessarily the same size. More specifically, two shapes are said to be similar if their corresponding angles are congruent and their corresponding sides are proportional in length.

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10 and 15

add 2 and 3 together then divide 25 by that and then multiply that number by 2 and 3 to find both of the answers

Answer:

x = .9

Step-by-step explanation:

Tan = Opposite over Adjacent

\(tan(83)=\frac{7}{x}\)

* multiply each side by x *

\(tan(83)*x=xtan(83)\\\frac{7}{x} =7\\xtan(83)=7\)

* divide each side by tan(83) *

\(\frac{xtan(83)}{tan(83)} =x\\\frac{7}{tan(83)} =0.8594919263\\x=0.8594919263\)

* round to the nearest tenth of a foot *

we get that x = .9

The simplification of the given expression is x² - x + 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is √x⁴ = x - 3.  The expression will be simplified as,

√x⁴ = x - 3

Solve the radical term first and simplify the expression further,

x² = x - 3

x² - x + 3 = 0

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The equation of each line in slope-intercept form are:

1. y = 3/4x + 4.

2. y = -x - 2

To express the equation of a line in slope-intercept form, y = mx + b, substitute the value of the slope (m) and the value of the y-intercept (b) into the equation.

1. Slope (m) = 3/4

y-intercept (b) = 4

Substitute m = 3/4 and b = 4 into the equation y = mx + b:

y = 3/4x + 4.

2. Slope (m) = -1

y-intercept (b) = -2

Substitute m = -1 and b = -2 into the equation y = mx + b:

y = -x - 2

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First you will get 4dz

Answer:

36

Step-by-step explanation:

\( \sqrt{8 \times 162} \)

\( \sqrt{1296} \)

\({36} \)

Answer:

\(\sqrt{8\cdot \:162}\)

\(=\sqrt{1296}\)

\(=\sqrt{36^2}\)

\(=36\)

The total kilograms of cake served is 20kg while 0.125kg is meant for each person.

Number of attendees = 160

Number of persons per table = 5

kilogram per table = 0.625

(Number of attendees/ Persons per table ) × kilogram per table

(160/5) × 0.625

32 × 0.625 = 20kg

Total kilograms of cake served / Number of attendees

quantity per person = 20/160

quantity per person = 0.125kg

Hence, 0.125 kg is meant for each person.

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Complete question:

160 people attended a carnival where five persons sat on each table. Each table was served 0.625

kg of chocolate cake. How many kilograms of cake was served? What was the quantity of cake meant for each person?

Answer: 97.5m

Step-by-step explanation:

A relation that contains no repeating groups and has nonkey columns solely dependent on the primary key but contains determinants is in the third normal form (3NF).

In this form, every monkey column of the relation is determined by the primary key and has no transitive dependencies on any other monkey column. This means that every column in the relation is uniquely identified by the primary key, and there are no redundant data in the relation. Therefore, the relation is free from anomalies such as update, deletion, and insertion anomalies. The third normal form is considered the most commonly used normal form in the relational database design, and it ensures data integrity and consistency. In summary, a relation that meets the criteria mentioned in the question is in 3NF.

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 The given linear system can be represented in matrix form as Ax = b, where A is the coefficient matrix, x is the vector of variables, and b is the vector of constants. We need to find matrices A and b such that the linear system corresponds to the given equations:

6x₁ + 7x₂ + 3x₃ = -2
-8x₁ + x₂ - x₃ = 7
To find matrix A, we collect the coefficients of the variables x₁, x₂, and x₃:
A = [[6, 7, 3], [-8, 1, -1]]
To find vector b, we collect the constants on the right-hand side of the equations:
b = [[-2], [7]]
Therefore, matrices A and b corresponding to the given linear system are:
A = [[6, 7, 3], [-8, 1, -1]]
b = [[-2], [7]]
In summary, the coefficient matrix A is [[6, 7, 3], [-8, 1, -1]], and the constant vector b is [[-2], [7]]. These matrices represent the linear system given by the equations 6x₁ + 7x₂ + 3x₃ = -2 and -8x₁ + x₂ - x₃ = 7, respectively.

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Answer:

yes

Step-by-step explanation:

What you don't know. which chapter is hard for you?

Answer:309

Step-by-step explanation:

Answer:

Divide by 2 or -2

Step-by-step explanation:

The edges lengths have decreased:

4/2=2

2/2=1

6/2=3

Transformation involves changing the position and size of a shape.

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

From the figure, we have:

So, the scale of dilation from shape A to B is:

\(\mathbf{Scale = \frac{1}{2}}\)

Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

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Answer:

Getting sum 6 when rolling two dice

Answer:

Step-by-step explanation:

-3(4x + 9) = 15

-12x-27=15

-12x=42

x= -7/2

Answer:

x = -7/2

Step-by-step explanation:

-3(4x + 9) = 15

Divide 3 on both sides

-3(4x + 9) /3 = 15 /3

Which makes

4x+9=-5

Subtract 9 on both sides

4x+9 -9  = -5   -9

Which makes

4x=-14

So we divide 4

4x  /4 = -14 /4

And we get......

x = -7/2

I hope it's right!

Answer:

742

Step-by-step explanation:

Answer:

The answer would be 742

Answer:

The false statement is: "if the confidence coefficient is held fixed, then as the sample size increases, the width of the confidence interval increases." This statement is incorrect as, if the confidence coefficient is held fixed, as the sample size increases, the width of the confidence interval decreases. The larger the sample size, the more precise the estimate of the population proportion and the smaller the margin of error, leading to a narrower confidence interval.

Step-by-step explanation: