Is the following data an example of a linear function?

3161617

Step-by-step explanation:

Answer:

240= 24x10

960= 96x10

Step-by-step explanation:

doesnt really need an explanation but

96x10=960

24x10=240

good luck on map or any question this is for <3!

The cowpox infection will prevent the child from being infected by the small pox virus.

Hypothes is a tentative assumption made in order to draw out and test its logical or empirical consequences

A simple hypothesis suggests only the relationship between two variables: one independent and one dependent. Examples: If you stay up late, then you feel tired the next day. Turning off your phone makes it charge faster.

Given paragraph is "dr. edward jenner realized that cows have a disease called cowpox, which is like a disease that infects humans called smallpox; jenner noticed that milkmaids whose hands were infected with cowpox were not contracting smallpox. jenner infected a child with the pus from a cowpox blister, and found that the child did not contract smallpox."

In this supporting hypothesis is "The cowpox infection will prevent the child from being infected by the small pox virus."

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Answer:

B. $45.61

Step-by-step explanation:

28.35+17.26= 45.61

Answer:

b

Step-by-step explanation:

28.35 + 17.26

=45.61

The height of a randomly selected giraffe is a continuous random variable.

Question: Determine whether the value is a discrete random variable, continuous random variable, or not a random variable: the height of a randomly selected giraffe.

Response: The height of a randomly selected giraffe can be considered a continuous random variable.

A random variable is a variable whose value is determined by the outcome of a random event. In this case, the random event is selecting a giraffe, and the variable is the height of that giraffe.

A discrete random variable can only take on a countable number of distinct values. For example, the number of students in a class or the number of cars passing through a toll booth in an hour.

On the other hand, a continuous random variable can take on any value within a certain range. In this case, the height of a giraffe can vary continuously, as there are no specific height values that it can only take.

For example, a giraffe can be 4.2 meters tall, or it can be 4.201 meters tall, or even 4.200001 meters tall. The height can be measured to any level of precision, and there are no specific intervals or distinct values that the height must fall into.

Therefore, the height of a randomly selected giraffe is a continuous random variable.

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The integer that makes the inequality 3(n − 6) < 2(n + 12) false is

The integer that makes the inequality false is solved by substituting the values and solving the inequality

3(n − 6) < 2(n + 12)

for n = -5

substituting the value of n

3(-5 − 6) < 2(-5 + 12)

= -33 < 14

3(n − 6) < 2(n + 12)

for n = 3

substituting the value of n

3(3 − 6) < 2(3 + 12)

= -9 < 30

3(n − 6) < 2(n + 12)

for n = 12

substituting the value of n

3(12 − 6) < 2(12 + 12)

= 18 < 48

3(n − 6) < 2(n + 12)

for n = 42

substituting the value of n

3(42 − 6) < 2(42 + 12)

= 108 < 108 wrong

This is the only wrong solution since 108 = 108

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The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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Answer:

18,11,4,-3

Step-by-step explanation:

1. |-7(-4) - 1| -9

  = |27| -9

  = 27 - 9

  = 18

2. |-7(-3) - 1| -9

   = |20| -9

   = 20 - 9

   = 11

3. |-7(-2) -1| -9

   = |13| -9

   = 13 -9

   =4

4. |-7(-1) -1| -9

   = |6| -9

   = 6-9

   = -3

The mean of a set of log-normally distributed random variables is equal to the mean of their logs.

Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to the mean of the logs, which is 5. This is because lognormal(5,1) tells us that the mean of the original variables is exp(5+1^2/2), which is equal to exp(5.5), or 148.413. Taking the log of this number returns 5.

To calculate this more precisely, let's assume we simulate n lognormal(5,1) random variables and denote them by x_1, x_2, ..., x_n. We take the logs of each variable, producing the values y_1, y_2, ..., y_n. The mean of the logs is then calculated as (y_1+y_2+...+y_n)/n. Since each y_i is equal to the log of one of the x_i's, which is equal to 5, the mean of the logs is 5. Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to 5.

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Answer:

c=-2

Step-by-step explanation:

Equation: -7c+2=16

-7c=16-2

-7c=14

c=14/-7

c=-2

Answer:

c = - 2

Step-by-step explanation:

Given

- 7c + 2 = 16 ( subtract 2 from both sides )

- 7c = 14 ( divide both sides by - 7 )

c = - 2

Sean's pumpkin was 3.45 times heavier than Kevin's pumpkin

To find out how many times heavier Sean's pumpkin was than Kevin's, we can divide the weight of Sean's pumpkin by the weight of Kevin's pumpkin:

33.12 pounds ÷ 9.6 pounds = 3.45

Therefore, Sean's pumpkin was 3.45 times heavier than Kevin's pumpkin.

To explain this result, we can say that if we were to put Kevin's pumpkin on one side of a balance scale and Sean's pumpkin on the other, Sean's pumpkin would weigh 3.45 times as much as Kevin's pumpkin. This can also be thought of as Sean's pumpkin being 245% heavier than Kevin's pumpkin (since 3.45 is 245% of 1).

It's worth noting that when comparing weights, it's important to use the same unit of measurement. In this case, both weights are already in pounds, so no conversion is necessary.

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Every polynomial function of odd degree with real coefficients will have at least one real root or zero.

This statement is known as the Fundamental Theorem of Algebra. It states that a polynomial of degree n, where n is a positive odd integer, will have at least one real root or zero.

The reason behind this is that when a polynomial of odd degree is graphed, it exhibits behavior where the graph crosses the x-axis at least once. This implies the existence of at least one real root.

For example, a polynomial function of degree 3 (cubic polynomial) with real coefficients will always have at least one real root. Similarly, a polynomial function of degree 5 (quintic polynomial) with real coefficients will also have at least one real root.

It's important to note that while a polynomial of odd degree is guaranteed to have at least one real root, it may also have additional complex roots.

The Fundamental Theorem of Algebra ensures the existence of at least one real root but does not specify the total number of roots.

In summary, every polynomial function of odd degree with real coefficients will have at least one real root or zero, as guaranteed by the Fundamental Theorem of Algebra.

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Answer: there is no answer

Step-by-step explanation: if the whole sentence is letters it is not answerable

Answer:

C

Step-by-step explanation:

Answer:

(a/b)*(b/a)=1.

Step-by-step explanation:

The function \(m(t) = -t^3 + 12t^2 - 144t\) models the number of mosquitoes in a field after a major rainfall, where t represents the number of days after the rainfall ended, within the range of 0 ≤ t ≤ 18.

The given function is a polynomial expression that represents the population of mosquitoes over time. By analyzing the coefficients and exponents of the terms, we can observe the behavior of the mosquito population.

The term \(-t^3\) represents the cubic term, indicating a negative rate of change. This suggests a decreasing trend in the mosquito population over time. The coefficient of \(12t^2\) implies that the rate of decrease slows down as time progresses. Lastly, the term \(-144t\) represents a linear decrease, indicating a steady decline in the mosquito population.

Within the specified range of 0 ≤ t ≤ 18, we can evaluate the function m(t) for different values of t to determine the specific number of mosquitoes on each day. By plugging in values from 0 to 18, we can construct a table or plot a graph to visualize the changing mosquito population over time.

Overall, the function m(t) provides a mathematical model for the number of mosquitoes in the field after a major rainfall, allowing us to analyze the population dynamics and track the decrease in mosquito numbers as time progresses.

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we know that

An equilateral truangle has three equal length sides

so

If triangle ABC is an equilateral triangle

then

AB=BC=AC

so

step 1

Find out the distance AB

The formula to calculate the distance between two points is equal to

we have

A (-4,6)

B (6,6)

substitue in the formula

step 2

Find the distance BC

we have

B (6,6)

C( 1,-3)

substitute the values in the formula

we have that

AB is not equal to BC

therefore

Is not an equilateral triangle

Is not necessary calculate the distance AC

Answer:

y = 3x + 4

Step-by-step explanation:

Given:

Coordinates

(-3 , -5)

Slope m = 3

Find;

Equation of slope

Computation:

Given, x1 = -3 and y1 = -5

Equation of slope = y - y1 = m(x - x1)

Equation of slope = y - (-5) = 3(x + 3)

Equation of slope = y + 5 = 3x + 9

Equation of slope = y = 3x + 9 - 5

Equation of slope = y = 3x + 4

y = 3x + 4

22 is an outlier in the given data since the difference between this value and other values in the data set is the largest.

Visually, we can see that 22 is an outlier in the given data since the difference between this value and other values in the data set is the largest

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Answer:

D 22

Step-by-step explanation:

a) H1 student hasn't cheated on an test, H2 Student has cheated on an test

b) the student hasn't cheated, but got indicted of cheating

c) the student cheated, but got down with it, and

d) Type 1 error as it indicted of cheating and thus failed the class, fully innocent.

Since we want to examine whether the pupil has cheated on an test, we will test

H1 student hasn’t cheated on an test

H2 Student has cheated on an test

Flash back that the Type 1 error occurs when the null thesis is true, but we conclude that we can reject it.

In this environment, a Type 1 error would be made when the pupil hasn't cheated on an test, but we reject that statement and conclude that he has cheated on the test.

This is actually the case of" chastising the innocent", and the consequence is that the pupil will fail the course, indeed though he did nothing wrong.

Flash back that the Type 2 error occurs when the indispensable thesis is true, but we can not reject the null thesis in favor of the indispensable thesis.

In this environment, a Type 2 error would be made when the pupil actually cheated on an test, but the data that we gathered still show that it's inconclusive whether or not he cheated, i.e. we conclude that we can not reject the possibility that he hasn't cheated on the test.

This is the case of" releasing the shamefaced", and the consequence is that the pupil" got down" with cheating with no discipline.

A Type 1 error is clearly much more serious, because it would mean that the pupil did nothing wrong, but was indicted of cheating and thus failed the class, fully innocent.

thus, a) H1 Pupil hasn't cheated on an test, H2 Student has cheated on an test

b) the student hasn't cheated, but got indicted of cheating

c) the student cheated, but got down with it, and

d) Type 1 error

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The rate at which the volume of water in the tank is changing is 58π(dr/dt).

To find the rate at which the volume of water in the tank is changing if the rate at which the height is decreasing is 8 centimeters per minute when the height is 4 meters, we need to use the formula for the volume of a cylinder, which is given by:

V = πr²hwhere V is the volume of the cylinder, r is the radius, and h is the height.

We also need to differentiate the formula for the volume of a cylinder with respect to time to get an equation for the rate of change of the volume of the cylinder. Differentiating the formula for the volume of a cylinder with respect to time, we get:

dV/dt = πr²dh/dt + 2πrhdr/dt

where dV/dt is the rate of change of the volume of the cylinder, dh/dt is the rate of change of the height of the cylinder, and dr/dt is the rate of change of the radius of the cylinder.

Substituting the given values into the formula and simplifying, we get:

dV/dt = π(5²)(-8/100) + 2π(5)(6)(dr/dt) = -2π + 60π(dr/dt) = 58π(dr/dt)

Therefore, the changes in water volume in the tank is 58π(dr/dt).

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The profit at a sales level of 10 trees can be found by substituting x = 10 into the profit function P(x) = 20x - 0.0122 - 100.

b) To find the profit at a sales level of 10 trees, substitute x = 10 into the profit function P(x) = 20x - 0.0122 - 100. Simplify the expression to obtain the profit value, rounding it to the nearest cent.

To find the profit at a sales level of 10 trees, we substitute x = 10 into the profit function P(x) = 20x - 0.0122 - 100:

P(10) = 20(10) - 0.0122 - 100

P(10) = 200 - 0.0122 - 100

P(10) = 99.9878 (rounded to the nearest cent)

The profit at a sales level of 10 trees is approximately $99.99. This means that selling 10 palm trees will result in a profit of approximately $99.99.

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Answer:

c

Step-by-step explanation:

Answer

C

Step-by-step explanation:

After the EEOC completes its investigation in an employment discrimination case, the outcomes can include resolution attempts, lawsuits, or issuing a Notice of Right to Sue to the complainant.

After the Equal Employment Opportunity Commission (EEOC) completes its investigation in an employment discrimination case, several outcomes are possible:

The EEOC may find reasonable cause to believe that discrimination has occurred. In this case, they may attempt to resolve the matter through informal methods such as mediation or settlement negotiations. If these efforts fail, the EEOC may file a lawsuit against the employer on behalf of the aggrieved individual(s).

If the EEOC does not find reasonable cause, they will issue a Notice of Right to Sue to the individual who filed the complaint. This allows the individual to pursue a lawsuit against the employer independently.

In some cases, the EEOC may determine that further investigation is needed, and they may request additional information or evidence from both the complainant and the employer.

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Answer:

The actual distance between the cities is 1,200 Km

Step-by-step explanation:

Scaling

Objects can be represented in a reduced or augmented size by using scaling which is multiplying or dividing real dimensions by a constant factor. We use scaling when representing geographic locations on a map.

We are given the scale on a map as 1:20,000,000.

Two cities are 6 cm on the map. The actual distance is obtained by multiplying:

6 * 20,000,000 = 120,000,000 cm

Divide by 100 to convert to meters and by 1,000 to convert to km 120,000,000/100/1,000=1,200 Km

The actual distance between the cities is 1,200 Km

Answer:

280

Step-by-step explanation:

The proportional relationship is y = 3x.

What is the proportional relationship?

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

Here, we have

Given:

x:  2, 6, 8, 10

y:  6, 18, 24, 30

We have to find the proportional relationship between x and y.

So, we can see from inspection and visual observation that there is a proportional relationship between x and y.

6 = 3  2,  18 = 3  6, 24 = 3  8, 30 = 3  10.

Hence, The proportional relationship is y = 3x.

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Answer:

d

Step-by-step explanation:

it's d because chicken has 7 letters and than +d which is 8 (the test might be hard )

2.1 To show that all partial derivatives of u and v exist at (x, y) = (0, 0) and satisfy the Cauchy-Riemann equations, we need to calculate the partial derivatives of u and v and check their existence and the Cauchy-Riemann conditions.

The function is given as u(x, y) = xy and v(x, y) = x² + y².

Partial derivatives of u:

∂u/∂x = y

∂u/∂y = x

Partial derivatives of v:

∂v/∂x = 2x

∂v/∂y = 2y

All partial derivatives exist at (x, y) = (0, 0) since they are simple functions and do not have any singularities.

Now, let's check if the Cauchy-Riemann equations are satisfied:

∂u/∂x = ∂v/∂y

y = 2y

This equation holds true for all values of y, including y = 0.

∂u/∂y = -∂v/∂x

x = -2x

This equation also holds true for all values of x, including x = 0.

Therefore, all partial derivatives of u and v exist at (x, y) = (0, 0), and they satisfy the Cauchy-Riemann equations.

2.2 To show that f is not continuous at (0, 0) and hence not differentiable at (0, 0), we can examine the behavior of f as (x, y) approaches (0, 0).

The function f(x, y) = u(x, y) + iv(x, y) = xy + i(x² + y²)

As (x, y) approaches (0, 0), both u(x, y) = xy and v(x, y) = x² + y² approach 0. However, f(x, y) = xy + i(x² + y²) approaches 0 + i(0) = i(0) = 0i = 0, which is a different value.

Therefore, f is not continuous at (0, 0), and hence it is not differentiable at (0, 0).

2.3 To investigate whether f is analytic or not, we need to check if it is differentiable in a neighborhood around every point.

Since we have already shown that f is not differentiable at (0, 0), it implies that f is not analytic because differentiability is a necessary condition for analyticity.

2.4 To investigate whether f has a harmonic complex conjugate or not, we need to check if u and v satisfy the Laplace's equation (∇²u = 0 and ∇²v = 0) and if they satisfy the Cauchy-Riemann equations.

The Laplace's equation is not satisfied by u(x, y) = xy because ∇²u = ∂²u/∂x² + ∂²u/∂y² = 0 + 0 ≠ 0.

Therefore, f does not have a harmonic complex conjugate.

2.5 To show that the function f(x, y) = x² - y² - iy is harmonic, we need to demonstrate that it satisfies the Laplace's equation (∇²u = 0 and ∇²v = 0).

For u(x, y) = x² - y², we have ∇²u = ∂²u/∂x² + ∂²u/∂y² = 2 - 2 = 0.

For v(x, y) = -y, we have ∇²v = ∂²v/∂x² + ∂²v/∂y² = 0 + 0 = 0.

Both u and v satisfy the Laplace's equation, indicating that f(x, y) = x² - y² - iy is a harmonic function.

To determine the harmonic conjugate of f, we can integrate the partial derivative of v with respect to x and y, and obtain the imaginary part of the function:

h(x, y) = ∫ (∂v/∂y) dy = ∫ 0 dy = C(y)

Where C(y) is an arbitrary function of y.

The harmonic conjugate of f is given by:

g(x, y) = u(x, y) + ih(x, y) = x² - y² + iC(y)

Therefore, the harmonic conjugate of f(x, y) = x² - y² - iy is g(x, y) = x² - y² + iC(y), where C(y) is an arbitrary function of y.

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To show that all partial derivatives of u and v exist at (x, y) = (0, 0) and satisfy the Cauchy-Riemann equations, we need to calculate the partial derivatives of u and v and check their existence and the Cauchy-Riemann conditions.

The function is given as u(x, y) = xy and v(x, y) = x² + y².

Partial derivatives of u:

∂u/∂x = y

∂u/∂y = x

Partial derivatives of v:

∂v/∂x = 2x

∂v/∂y = 2y

All partial derivatives exist at (x, y) = (0, 0) since they are simple functions and do not have any singularities.

Now, let's check if the Cauchy-Riemann equations are satisfied:

∂u/∂x = ∂v/∂y

y = 2y

This equation holds true for all values of y, including y = 0.

∂u/∂y = -∂v/∂x

x = -2x

This equation also holds true for all values of x, including x = 0.

Therefore, all partial derivatives of u and v exist at (x, y) = (0, 0), and they satisfy the Cauchy-Riemann equations.

2.2 To show that f is not continuous at (0, 0) and hence not differentiable at (0, 0), we can examine the behavior of f as (x, y) approaches (0, 0).

The function f(x, y) = u(x, y) + iv(x, y) = xy + i(x² + y²)

As (x, y) approaches (0, 0), both u(x, y) = xy and v(x, y) = x² + y² approach 0. However, f(x, y) = xy + i(x² + y²) approaches 0 + i(0) = i(0) = 0i = 0, which is a different value.

Therefore, f is not continuous at (0, 0), and hence it is not differentiable at (0, 0).

2.3 To investigate whether f is analytic or not, we need to check if it is differentiable in a neighborhood around every point.

Since we have already shown that f is not differentiable at (0, 0), it implies that f is not analytic because differentiability is a necessary condition for analyticity.

2.4 To investigate whether f has a harmonic complex conjugate or not, we need to check if u and v satisfy the Laplace's equation (∇²u = 0 and ∇²v = 0) and if they satisfy the Cauchy-Riemann equations.

The Laplace's equation is not satisfied by u(x, y) = xy because ∇²u = ∂²u/∂x² + ∂²u/∂y² = 0 + 0 ≠ 0.

Therefore, f does not have a harmonic complex conjugate.

2.5 To show that the function f(x, y) = x² - y² - iy is harmonic, we need to demonstrate that it satisfies the Laplace's equation (∇²u = 0 and ∇²v = 0).

For u(x, y) = x² - y², we have ∇²u = ∂²u/∂x² + ∂²u/∂y² = 2 - 2 = 0.

For v(x, y) = -y, we have ∇²v = ∂²v/∂x² + ∂²v/∂y² = 0 + 0 = 0.

Both u and v satisfy the Laplace's equation, indicating that f(x, y) = x² - y² - iy is a harmonic function.

To determine the harmonic conjugate of f, we can integrate the partial derivative of v with respect to x and y, and obtain the imaginary part of the function:

h(x, y) = ∫ (∂v/∂y) dy = ∫ 0 dy = C(y)

Where C(y) is an arbitrary function of y.

The harmonic conjugate of f is given by:

g(x, y) = u(x, y) + ih(x, y) = x² - y² + iC(y)

Therefore, the harmonic conjugate of f(x, y) = x² - y² - iy is g(x, y) = x² - y² + iC(y), where C(y) is an arbitrary function of y.

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The polynomial expression 2x⁶ - 12x⁴ in GCF factored form is 2x⁴(x² - 6).

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor.

Given:

A polynomial expression,

2x⁶ - 12x⁴.

To factor the polynomial using GCF:

The GCF of 2x⁶ and 12x⁴,

= 2x⁴.

So, the polynomial is,

2x⁶ - 12x⁴ = 2x⁴(x² - 6)

Therefore, the GCF form of the polynomial is 2x⁴(x² - 6).

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The newborn death rate is calculated by dividing the number of newborn deaths by the number of live births and multiplying by 100.

The newborn death rate, also known as the neonatal mortality rate, is a critical indicator used in public health to assess the health and well-being of newborns. It is calculated by dividing the number of newborn deaths within a specified period by the number of live births during the same period and then multiplying the result by 100.

This calculation is performed to express the newborn death rate as a percentage, making it easier to interpret and compare across different populations or time periods. By dividing the number of deaths by the number of live births, we obtain the proportion of newborns who die within a certain timeframe. Multiplying this proportion by 100 provides the rate per 100 live births, which allows for a standardized measure of comparison.

The newborn death rate is a crucial statistic in assessing the quality of healthcare services, identifying areas with high mortality rates, and monitoring the effectiveness of interventions aimed at reducing neonatal deaths. It serves as a vital tool for policymakers, healthcare professionals, and researchers in evaluating and improving newborn health outcomes.

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