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A real-world example of how piecewise functions can be used is in:

Modeling electricity pricing, where different rates are said to be used for different usage tiers.

Calculating income tax based on different types of income brackets.

Here, we have,

Piecewise functions are tools that are often used for representing ways where the connection between variables alters under varying intervals or conditions.

To demonstrate the application of piecewise functions, consider the following example such as  calculating taxes on income. where a different nations implement an income tax system that make use of a segmented function to determine tax rates based on various income brackets.

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complete question;

What’s a real world example of how piece wise functions can be used?

If Jenny worked the same shifts as Susan and had the same income of $7,000 last year, then she do not need to file a tax return because  her total income is below the filing threshold.

Whether Jenny needs to file a tax return or not depends on her total income and the types of income she received.

If Jenny had the same income of $7,000 last year as Susan and is single with no dependents,

She will not be required to file a federal tax return for the 2022 tax year as long as her total income is below the filing threshold because for tax year 2022, the filing threshold for single taxpayers under the age of 65 is $12,950.

Therefore , Jenny do not need to file a tax return .

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The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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For the given system of equations 3x + 2y = 19 and x + y = 8 , the value of y is equal to 5.

As given in the question,

Given system of equations are :

3x + 2y = 19   ___(1)

x + y = 8        ___(2)

Simplify the given system of equations to get the value of y we have,

Multiply equation (2) by 3 and eliminate variable x by subtracting (1) from it and get the value of y ,

3x + 3y = 24

3x + 2y = 19

0x + 1y = 5

This implies y is equal to 5.

Therefore, for the given system of equations 3x + 2y = 19 and x + y = 8 , the value of y is equal to 5.

The complete question is :

Simplify the given system of equations to find the value of y:

3x + 2y = 19 and x + y = 8.

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Answer: is A

there in no correlation because the  dots do not connect

Step-by-step explanation: it is correct

Answer:

C . . . I think

Step-by-step explanation:

The reason for this is that they used guerilla warfare to blend into their surroundings, completely contrasting to the idea of wearing bright red among trees, and other green lands.

Answer:

15

Step-by-step explanation:

Function has an input and an output. Generally, a function relates each value of a set with exactly one value of another set. According to our definition the function in the relation below will be

All the other options has a x value that is related to more than one values in y.

Answer:

-1

Step-by-step explanation:

\(f(x)=1-x^{2} +x^{3}\\\\\)

Enter the x value into the equation:

\(f(-1)=1-(-1)^{2}+(-1)^{3} \\\f(-1) = 1+1-1\\ f(-1)=-1\)

Answer:

do distributive property on both, so multiply 6•x and 6•-4. then multiply 7•x and 7•3.

so it'll basically be 6x - 24 = 7x + 21.

then add 24 to both sides so: 6x - 24 + 24 = 7x + 21 + 24. since -24+24=0 it'll be 6x = 7x + 21 + 24.

then add 21 + 24 and that will be 45.

so 6x = 7x + 45

then subtract 7x from both sides 6x - 7x = 7x + 45 - 7x

that'll be -x = 7x + 45 - 7x

combine like terms (7x - 7x) = 0

so -x = 45

and since x can't be negative, do the opposite signs

so instead of -x = 45, make it x = -45

Hope it helped! (sorry that's its very long just wanted to show u the steps just in case)

If a company’s stock was selling at $25 a share. A month later it was selling at $30 a share then percent gain is 20%.

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%". For example, if 30 out of 100 students in a class are girls, we can say that the percentage of girls in the class is 30%. In other words, 30% means 30 out of 100, or 0.3 as a decimal

To calculate the percent gain, we first need to determine the difference between the two prices, which is:

$30 - $25 = $5

Then, we can calculate the percent gain by dividing the difference by the original price and multiplying by 100:

($5 / $25) x 100% = 20%

Therefore, the percent gain is 20%.

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Answer:

y = -3x - 11

Step-by-step explanation:

(y - y1)/(x - x1) = (x2 - x1)/(y2 - y1)

(y - 7)/(x + 6) = (-3 + 6)/(6 - 7)

(y - 7)/(x + 6) = 3/-1 = -3

y - 7 = -3(x + 6)

y - 7 = -3x - 18

y = -3x -18 - 7

y = -3x - 11

Answer:

We know that the distributive property says this:

a(b+c) = ab + ac

If we apply this to our case, we can put

3a(2b+c) = 3a * 2b + 3a * c

When we multiply numbers and letters, we should multiply both of them:

3a * 2b + 3a * c = 3*2*a*b + 3*a*c = 6ab +3ac

We can use this when we find a number multiplied by a parenthesis..

Answer:

6ab + 3ac

Step-by-step explanation:

3a(2b) + 3a(c)

6ab + 3ac

31. f(x) = 3x^2 - 4x + 1
f'(x) = 6x - 4
f'(a) = 6a - 4

32. f(t) = 2t + 7 / (2t + 1)^T - 2
Here's the solution:
f'(t) = [2(2t + 1)^(T - 2) - (T - 2)(2t + 7)(2t + 1)^(T - 3)] / (2t + 1)^(T - 1)
f'(a) = [2(2a + 1)^(T - 2) - (T - 2)(2a + 7)(2a + 1)^(T - 3)] / (2a + 1)^(T - 1)

33. f(t) = 3t^4 + 2t^3 - t^2 + 5
f'(t) = 12t^3 + 6t^2 - 2t
f'(a) = 12a^3 + 6a^2 - 2a

34. f(x) = x^(1/2) + 3 / (4x^2 + 1)
To take the derivative of this function, we'll need to use the chain rule and the quotient rule. Here's the solution:
f'(x) = (1/2)x^(-1/2) - [8x / (4x^2 + 1)^2]
f'(a) = (1/2)a^(-1/2) - [8a / (4a^2 + 1)^2]

35. f(x) = 11 - 2x
f'(x) = -2
f'(a) = -2

36. f(x) = 1 - x
f'(x) = -1
f'(a) = -1

But I assume the exponent is supposed to be T - 2. To take the derivative of this function, we'll need to use the quotient rule.

To find f'(a), we need to take the derivative of the function f(x) with respect to x and then evaluate it at the point x = a. Here are the solutions for each function:

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Sara used 5/6 spoon more sugar than milk.

We need to find the difference between the amount of milk and sugar used by Sara. We know that Sara used 4/6 spoon of milk and 3/2 spoon of sugar. To compare these two fractions, we need to convert them to a common denominator. The common denominator for 6 and 2 is 6. So, we will convert 3/2 into an equivalent fraction with a denominator of 6.Multiplying the denominator by 3, we get:3/2 = 9/6Now, we have:4/6 spoon of milk and 9/6 spoon of sugar To find the difference between the two, we subtract the smaller fraction from the larger fraction: 9/6 - 4/6 = 5/6.

Therefore, Sara used 5/6 spoon more sugar than milk. Sara used 4/6 spoon of milk and 3/2 spoon of sugar. To compare these two fractions, we need to convert them to a common denominator. The common denominator for 6 and 2 is 6. So, we will convert 3/2 into an equivalent fraction with a denominator of 6.Multiplying the denominator by 3, we get: 3/2 = 9/6Now, we have:4/6 spoon of milk and 9/6 spoon of sugar To find the difference between the two, we subtract the smaller fraction from the larger fraction: 9/6 - 4/6 = 5/6.

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The interpretation is that 8% of the variation in the dependent variable can be explained by the variation in the independent variable. (B)

The coefficient of determination, r^2, is a measure of how much of the variation in the dependent variable can be explained by the variation in the independent variable.

It is calculated by squaring the correlation coefficient, r, between the two variables. In this case, r^2 is equal to 0.08, which means that 8% of the variation in the dependent variable can be explained by the variation in the independent variable.

This means that the independent variable has a relatively small effect on the dependent variable, and there are likely other factors that contribute to the variation in the dependent variable.

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SOLUTION:

We are to find the equation that best represents the axis of symmetry in the given graph.

The axis of symmetry is the line that divides the graph into two equal parts and it is parallel to y - axis.

By critical and careful examination, it is clear that the line of symmetry is x = 2 ( when you draw a line parallel to y-axis, it divides the graph into equal parts.

So the correct option is G that is, x = 2

Answer:

the answer would be X=20⁰

Answer:

x = 20

Step-by-step explanation:

Given:

AB , CD, EF are straight lines

To Find:

Find the value of x

Solve:

Let the point of intersection of the lines AB, CD and EF  be O.

Therefore,     {Opposite angles }

∠ \(AOE=\) ∠ \(BOF=3x^o\)

∠\(COF=\) ∠ \(EOD=4x^o\)

∠\(BOD=\) ∠ \(AOC=2x^o\)

Note:

Sum of all angles = 360 degree

Since we know that sum of all angles equals to 360 degree.

Hence,

\(2(2x ^o )+2(4x ^o )+2(3x ^o )=360 ^o\)         {Simplify}

\(18x^o=360^o\)            {Divide each side by 18}

\(x=20\)

So the value of x equal 20

Kavinsky~

Do you have any answer choices? That would help a lot.

Answer:

(0,2)

Step-by-step explanation:

The equations must be derived from the graph:

First, find the slope of f(x):

\(m=\frac{y_2-y_1}{x_2-x_1}\) let \((x_1,y_1)=(-3,3)\) and \((x_2,y_2)=(3,1)\)

\(m=\frac{(1)-(3)}{(3)-(-3)}\\m=\frac{-2}{6}\\m=-\frac{1}{3}\)

Then use \(y-y_1=m(x-x_1)\)

\(y-3=-\frac{1}{3}[x-(-3)]\\y-3=-\frac{1}{3}x-1\\y=-\frac{1}{3}x+2\\f(x)=-\frac{1}{3}x+2\)

For g(x), let:

\((x_1,y_1)=(-3,0)\\(x_2,y_2)=(0,2)\)

\(m=\frac{(2)-(0)}{(0)-(-3)}\\m=\frac{2}{3}\)

\(y-0=\frac{2}{3}[x-(-3)]\\y=\frac{2}{3}x+2\\g(x)=\frac{2}{3}x+2\)

Now, to solve for x, allow the two expressions written in terms of x equal each other.

\(-\frac{1}{3}x+2=\frac{2}{3}x+2\\(-\frac{1}{3}x+2)+\frac{1}{3}x=(\frac{2}{3}x+2)+\frac{1}{3}x\\2=x+2\\(2)-2=(x+2)-2\\x=0\)

To solve for y, substitute 0 for x in f(x):

\(y=-\frac{1}{3}x+2\\y=-\frac{1}{3}(0)+2\\y=0+2\\y=2\)

So, the solution to this system of equations would be the ordered pair (0,2).  This solution is seen on the graph as the intersection of the two lines.

Six Sigma provides a continuous improvement framework and it has two methodologies.

DMAIC - Define, Measure, Analyze, Improve and Control.

DMADV - Define, Measure, Analyze, Design and verify

What is Six Sigma ?

According to the Six Sigma philosophies, every work can be broken down into discrete processes that may be measured, evaluated, improved, and managed.

                     Processes result in outputs after requiring inputs (x) (y). You can manage the outputs if you manage the inputs. This is typically written as y = f. (x).

What is a fundamental principle of Six Sigma?

The management practice known as "six sigma" aims to reduce errors. It is based on the idea that reducing defects is essential for improving margins, that costs can be cut, and that increasing customer loyalty can help because it is expensive to harbor defects.

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the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.

To calculate the probability that the next customer will pay with something other than a credit card, we need to know the total number of customers who paid cash or used a debit card.

The total number of customers who paid cash or used a debit card is the sum of the customers who paid cash and those who used a debit card:

Total customers who paid cash or used a debit card = customers who paid cash + customers who used a debit card = 76 + 10 = 86

Therefore, the probability that the next customer will pay with something other than a credit card is:

P = Total customers who paid cash or used a debit card / Total number of customers

P = 86 / (76 + 10 + 1) (adding 1 to account for the next customer)

P = 0.93

So the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.

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9514 1404 393

Answer:

  3479

Step-by-step explanation:

Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...

  11000 · 0.316289 ≈ 3479

Answer:

I o u a e

Step-by-step explanation:

these are the vowels

Answer:

The answer you are looking for is as x increases, y decreases then increases

Step-by-step explanation:

Step-by-step explanation:

Let people behind you=x

People ahead of you will be x+2

Total number of people in the line(including you) = x+(x+2)+1 = 2x+3

Also, 2x+3=3x

So x=3

People ahead = x+2 = 5

People behind = x = 3

Answer:A

Step-by-step explanation:

.

As a result, segment AE's length matches that of pentagons ABCDE and A'B'C'D'E'. Even as length of AE is not explicitly stated, we are unable to infer it based on the information in the problem.

The scale factor refers to the proportion of one figure's side length to the other figure's corresponding side length. This time, XYUV=123=4. The scaling factor is hence 4.

Each side of the pentagon A'B'C'D'E' is twice as long as the equivalent side of the pentagon ABCDE because the dilatation scale factor is 2. Therefore:

A'B' = 2AB

B'C' = 2BC

C'D' = 2CD

D'E' = 2DE

E'A' = 2EA

Segment AE, which adds up to the sum of the first pentagon's two sides, needs to be as long as possible.

AB + BC + CD + DE=AE

We can swap the value of A'B', B'C', C'D', and D'E' for AB, BC, CD, and DE, respectively, since the dilation scale factor is 2:

AE = A'B'/2 + B'C'/2 + C'D'/2 + D'E'/2

AE = (2AB)/2 + (2BC)/2 + (2CD)/2 + (2DE)/2

AB + BC + CD + DE=AE

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The equation of the following graph in vertex form is y = (x + 1)².  This equation represents a parabola with its vertex at the point (-1, 0) and opening upwards.

The equation of a quadratic function in vertex form. The vertex form of a quadratic function is given by the equation:

y = a(x - h)² + k

In this equation, (h, k) represents the vertex of the parabola, and 'a' determines the direction and shape of the parabola. The points given are (0, 1), (-1, 0), and the term (x + 1)² is also mentioned.

Using these details, the vertex of the parabola can be identified as (-1, 0), since the term (x + 1)² is present, which corresponds to h = -1. The point (0, 1) can be used to determine the value of 'a'. Plugging in the coordinates (0, 1) into the vertex form equation:

1 = a(0 - (-1))² + 0

1 = a(1²)

a = 1

With these values, the equation of the graph in vertex form is:

y = (x + 1)²

This equation represents a parabola with its vertex at the point (-1, 0) and opening upwards.

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