What is variable income

Answer:

3（x-10) (x-2)

Step-by-step explanation:

3x² - 36x+60

3(x² - 12x+20)

The parametric equations of the line are

**x(t) = -4t**

**y(t) = 2t**

**z(t) = 4**

The vector equation of the line through (0,0,4) in the direction of the vector **v=−4,2,0** is:

r(t) = (0, 0, 4) + t(-4, 2, 0)

In this equation, **r(t)** represents the position vector of any point on the line, **t** is a parameter that determines the position of a point along the line, and **(0, 0, 4)** is the initial point of the line.

To obtain the parametric equations of the line, we can express the coordinates **x**, **y**, and **z** as functions of the parameter **t**.

For the **x-coordinate**, we have:

**x(t) = 0 - 4t**

For the **y-coordinate**, we have:

**y(t) = 0 + 2t**

For the **z-coordinate**, we have:

**z(t) = 4 + 0t = 4**

These equations describe the position of any point on the line in terms of the parameter **t**. Thus, the parametric equations of the line are:

**x(t) = -4t**

**y(t) = 2t**

**z(t) = 4**

By substituting different values of **t**, we can determine the corresponding coordinates of points along the line.

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To find the equation for line m, that is perpendicular to line k, we will take the steps below:

First, find the slope of line k from the graph given

To find the slope, locate the coordinates of any given 2 points from the line.

we have;

(4, 0) and (0, 3)

From the points above:

x₁= 4 y₁=0 x₂=0 y₂=3

slope = y₂-y₁ /x₂- x₁

substitute the values of the coordinate into the formula above

slope = 3 - 0 / 0 -4

= 3/ -4

= - 3/4

slopes of perpendicula equations are given by;

m₁m₂= -1

let m₁ be slope of k and m₂ be slope of m

(-3/4)m₂ = -1

multiply both-side of the equation by -4/3

m₂ = 4/3

The above is the slope of line M

Next, is to find the intercept of line M

y=mx + b

Answer:

\(\huge\boxed{\sf Distance = 2.793\ miles}\)

Step-by-step explanation:

Given Data:

Speed = 4.9 mph

Time = 0.57 hours

Required:

Distance = ?

Formula:

Distance = Speed * Time

Solution:

Distance = 4.9 * 0.57

Distance = 2.793 miles

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

\(10^{4.876}=y\)

Step-by-step explanation:

Logarithms are just another way of arranging an exponential equation! You know how you can rearrange the equation 2 + 3 = 5 as 5 - 3 = 2, or the equation 2 x 3 = 6 as 6 ÷ 3 = 2? With logarithms, you can do the same thing with an equation like 2³ = 8. As a logarithm, we would write this equation as log₂(8) = 3. Here, we call 2 the base, 8 the argument, and 3 the exponent.

Logarithms like the one in the problem with a base of 10 are just written as log, without the base written out. In the equation log(y) = 4.876, our base is 10, our argument is y, and our exponent is 4.876, so as an exponential equation, we would write it as

\(10^{4.876}=y\)

Answer:

She can not achieve her average.

Step-by-step explanation:

For her homework average to be 8 or above, she needs to have at least 80 total points to be divided among 10 assignments.

If you add up all the values, 5, 0, 4, 8, 10, 9, 4, 6, 2, you would get 48.

She can not achieve her average because even with the maximum amount of points, 10, 58 is still less than 80.

Answer:

No

Step-by-step explanation:

Most of her scores are under 50 or 50

5 2 4 4 0

Answer:

5 pints is needed

Step-by-step explanation:

2 pints of white paint for pink

1 pint of red for pink

10 pints of white paint = 5 pints of red

Answer:

FALSE

Step-by-step explanation:

SINCE CONGRUENT TRIANGLES ARE SAS OR SSS OR ASA SO TESE TRIANGLES ARE ISOCLES TRIANGLES DUE TO THE MEASUREMENTS

Answer:

No, only for right angle Δ

Step-by-step explanation:

It is only used for right angle triangles

If a value of y relates only to one value of x, then the function does have an inverse function.

A relation between such a collection of inputs and outputs is known as a function.

Thus, if a value of y relates only to one value of x, then the function does have an inverse function.

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Answer:

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

Given system:

Equate the right sides to get a quadratic equation:

The discriminant of ax² + bx + c = 0 is D = b² - 4ac.

Substitute a = 1, b = 3, c = 8 and find the value of D:

Since D < 0, there is no real solution, hence the correct choice is A.

The inherent zero is simply a zero. The three instances for both are-

The absolute zero is another name for the intrinsic zero. This is not included in the interval scale because, while the disparity between the two observations makes sense, the ratio does not because it lacks an inherent zero.

Some key features of inherent zero are-

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Answer:

161

Step-by-step explanation: 110^2/75

Answer:

161

Step-by-step explanation:

acellus

Answer:

see explanation

Step-by-step explanation:

The inverse of a matrix A = \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\) is

\(A^{-1}\) = \(\frac{1}{ad-bc}\) \(\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]\)

If ad - bc = 0 then the matrix has no inverse

A = \(\left[\begin{array}{ccc}11&-5\\3&-1\\\end{array}\right]\)

ad - bc = (11 × - 1) - (- 5 × 3) = - 11 - (- 15) = - 11 + 15 = 4 , then

\(A^{-1}\) = \(\frac{1}{4}\) \(\left[\begin{array}{ccc}-1&3\\-5&11\\\end{array}\right]\) = \(\left[\begin{array}{ccc}-0.25&0.75\\-1.25&2.75\\\end{array}\right]\)

Answer:

Step-by-step explanation:

\(A=\begin{bmatrix}11&-5\\3&-1\end{bmatrix}\\det(A)=11*(-1)-3*(-5)=-11+15=4\\minor=\begin{bmatrix}-1&3\\-5&11\end{bmatrix}\\cofactor=\begin{bmatrix}-1&-3\\5&11\end{bmatrix}\\Transposed\ cofactor=\begin{bmatrix}-1&5\\-3&11\end{bmatrix}\\A^{-1}=\dfrac{Transposed\ cofactorx}{det(A)} =\begin{bmatrix}\dfrac{-1}{4} &\dfrac{5}{4} \\\\ \dfrac{-3}{4} &\dfrac{11}{4}\end{bmatrix}\\\)

\(Proof:\\A*A^{-1}=\begin{bmatrix}11&-5\\\\3&-1\end{bmatrix}*\begin{bmatrix}\dfrac{-1}{4} &\dfrac{5}{4}\\\\ \dfrac{-3}{4}&\dfrac{11}{4}\end{bmatrix}\\\\\\=\begin{bmatrix}\dfrac{-11+15}{4} &\dfrac{55-55}{4}\\\\ \dfrac{-3+3}{4}&\dfrac{15-11}{4}\end{bmatrix}\\\\\\=\begin{bmatrix}1&0\\\\ 0&1\end{bmatrix}\\\)

Bonus: method of Gauss 's pivot jointed

Given expression is:

Take 3 common from it:

So the factor are:

Answer: Sure,

Step-by-step explanation: d

=

√

17

 or  

d

=

4.1

rounded to the nearest 10th

Explanation:

The formula for calculating the distance between two points is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substituting the two points from the problem and calculating gives the distance as:

d

=

√

(

1

−

2

)

2

+

(

−

5

−

−

1

)

2

d

=

√

(

−

1

)

2

+

(

−

4

)

2

d

=

√

1

+

16

d

=

√

17

d

=

4.1

rounded to the nearest 10th

:)

Answer:

The correct answer is C.

Answer:

8/45 or 0.177...... (the seven continues forever).

Step-by-step explanation:

8/9 ÷ 5

First, turn 5 into a fraction. That will be 5/1

8/9 ÷ 5/1

When you're dividing fractions, you flip the second fraction and turn the division sign to a mutiplication sign

8/9 ÷ 1/5

8/9 * 1/5

Now you multiply. We will multiply the numerator and then the denominators through since there are no common factors.

8 * 1/9 * 5

8/45

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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(a) The expected cost per hour if hiring Alex can be expressed as:

Cost_Alex = (12 + 0.10 * 60 * E[T_Alex]) + E[W_Alex] * 0.10 * 60

The expected cost per hour if hiring Pat can be expressed as:

Cost_Pat = (Wage_Pat + 0.10 * 60 * E[T_Pat]) + E[W_Pat] * 0.10 * 60

To determine the expected cost per hour, we need to consider several components. For Alex, the cost consists of the hourly wage of $12 and the value of customer waiting time.

The value of customer waiting time is calculated by multiplying the average waiting time (E[T_Alex]) by the value assigned to each minute (0.10 * 60) and then summing it with the expected waiting time (E[W_Alex]) multiplied by the same value.

Similarly, for Pat, the cost consists of Pat's wage (Wage_Pat) and the value of customer waiting time. The value of customer waiting time is calculated by multiplying the average waiting time (E[T_Pat]) by the value assigned to each minute (0.10 * 60) and then summing it with the expected waiting time (E[W_Pat]) multiplied by the same value.

These expressions allow for comparing the expected cost per hour when hiring either Alex or Pat.

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Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

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Positive image height indicates an upright image, whereas negative image height indicates an inverted image.
Based on these steps, we can conclude that the image height in this case is negative.

If an image is real and inverted, then the image height can be determined as follows:
Identify the properties:

In this case, the image is real and inverted.
Understand the terms:

A real image is formed when light rays converge at a point, while an inverted image means that the image is upside down compared to the object.

Analyze the height: In the context of optics, the image height refers to the vertical size of the image formed by an optical system.

Positive image height indicates an upright image, whereas negative image height indicates an inverted image.
Based on these steps, we can conclude that the image height in this case is negative.

This is because the image is inverted, and a negative image height signifies that the image is upside down compared to the object.

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Answer:

$26280

Step-by-step explanation:

Tell me thats not real..

Hope this helps

The transform ,D2Y(s) + 4DY(s) + 40Y(s) = (D+2)X(s) Therefore, the zero-input response of the system y0(t) is given asy0(t) = (e -2t) - 2(cos6t + sin6t) + 6/5

Given that, LTIC system described by the complex-root system is given below.(D2+4D+40)y(t)=(D+2)x(t)

The zero-input response of the response for an LTIC system is given by the initial conditions. The initial condition for the given system is given below.y0(0)=2 and y˙0(0)=16.78.

Using the Laplace transform method, find the transfer function of the given system .

1: Finding the Laplace Transform for the given system(D2+4D+40)y(t)=(D+2)x(t). First, we need to take the Laplace transform of both sides of the given equation. We know that the Laplace transform of y(t) and x(t) are Y(s) and X(s) respectively. Therefore, we get,D2Y(s) + 4DY(s) + 40Y(s) = (D+2)X(s)

2: Solving for the Transfer Function. We know that transfer function is H(s)=Y(s)/X(s). Therefore, we getH(s)= (D+2)/(D2+4D+40)Taking the Laplace inverse of H(s) gives the zero-input response of the given system y0(t).

3: Finding the Zero-Input Response of the given system. We need to find the partial fraction of the transfer function. For that, solve the following equation.D2+4D+40 = 0. Using the quadratic formula, we get,D = -2 ± 6iTherefore, we get the partial fraction of the transfer function as, H(s)=1/(D+2) - 2/D + 3/5 + (3/5s)

Therefore, the zero-input response of the system y0(t) is given asy0(t) = (e -2t) - 2(cos6t + sin6t) + 6/5

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The correct answer is (c) 0.833, representing that approximately 83.3% of the variance in the dependent variable is explained by the independent variable in the given regression model.

The coefficient of determination, denoted as r², represents the proportion of the variance in the dependent variable (Y) that can be explained by the independent variable (X) in a simple regression model. It ranges between 0 and 1, where a value closer to 1 indicates a stronger relationship between the variables.

In this case, we are given the sum of squares of the deviations from the mean (SSM) and the sum of squares of the residuals (SSE). The coefficient of determination can be calculated as follows:

r² = SSM / SST

Where SST (total sum of squares) is the sum of squares of the deviations from the mean of the dependent variable.

From the given information, we have:

SSM = 5

SST = 30

Plugging these values into the formula, we get:

r² = 5 / 30 = 0.1667

However, r² represents the proportion of the variance explained, so we subtract it from 1 to obtain the proportion of unexplained variance. Therefore, the coefficient of determination is:

r² = 1 - 0.1667 = 0.833

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Answer:

g(x) is translated 7 units right from f(x)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

so you don't get wet

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Answer:

SSS, SAS, ASA, AAS

Step-by-step explanation:

s = sides

a = angle

Answer:

m=7

Step-by-step explanation:

divide by both sides by 2 then you will remain with m is the equal to 7

Answer:

7

Step-by-step explanation:

2m = 14

=> m = 14/2

=> m=7

Step-by-step explanation:

X- (-12)=25

X+12=25

X=25-12

X=13

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