Consider the polynomial function
p(x) = -9x⁹ + 6x6 - 3x³ +1.
End behavior of polynomials
What is the end behavior of the graph of p?

In order to determine 1/11 as a decimal you need to divide 1 by 11. This would equal 0.0909090909090909. Rounding this number to three decimal places would equal 0.091.

The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

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Answer:

the complement of 37 degrees is 53 degrees.

Step-by-step explanation:

90-37=53

Answer: umm jus look up what a histogram is

Step-by-step explanation:

Answer:

The amount of steel used = 94.38 \(m^{2}\)

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = \(\frac{diameter}{2}\)

           = \(\frac{4.2}{2}\)

radius  = 2.1 m

Total surface area of a cylinder = 2\(\pi\)rh + 2\(\pi\)\(r^{2}\)

                                      = 2\(\pi\)r(r + h)

                                      = 2 x \(\frac{22}{7}\) x 2.1 (2.1 + 4.5)

                                      = 44 x 0.3 (6.6)

                                      = 87.12

Total surface area of a cylinder = 87.12 \(m^{2}\)

Since \(\frac{1}{12}\) of the steel was wasted, then;

\(\frac{1}{12}\) x 87.12 = 7.26 \(m^{2}\)

Actual area of steel sheet used = 87.12 + 7.26

                                                     = 94.38 \(m^{2}\)

Thus, 94.38 \(m^{2}\) of steel was used in making the tank.

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

According to the statement

we have given that Vertex

(h,k) = (500, 15900)

And One of the points on the graph

(x,y) = (0,8400)

FIRST PART: we have to find the quadratic function

We can find the quadratic function by parabola's equation formula

y = a (x - h)² + k  -(1)

Input the numbers to the formula, to find the value of a

y = a (x - h)² + k

8400 = a(0 - 500)² + 15900

8400 = a (500)² + 15900

8400 = 250000a + 15900

-250000a = 15900 - 8400

-250000a = 7500

a = 7500/-250000

a = 0.03

Now,

Submit a to the formula (1)

y = a (x - h)² + k

y = 0.03 (x - 500)² + 15900

this is the quadratic equation.

SECOND PART: Find the linear function

the total cost = cost each helmet × the number of helmet

y = 26x

So,

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

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Disclaimer: This question was incomplete. Please find the full content below.

Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)

x= number of helmets

y = amount in dollars

Which system models this situation?

a) y = 26x and y = 8,400(x-500)2+15,900

b) y = 26x and y = -0.030(x-500)2+15,900

c) y = x/26 and y = -0.030(x-500)2+15,900

d) y = x/26 and y =8,400(x-500)2+15,900

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Answer:

B. y = 26x and y = -0.030(x-500)2+15,900

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The equation of the given line is written in "slope-intercept form":

  y = mx + b . . . . . . where m is the slope

Matching this form to the equation you have, you see that ...

  m = 5 . . . the slope of your given line.

__

A parallel line will have the same slope: 5.

__

A perpendicular line will have a slope that is the opposite reciprocal of this. The reciprocal of 5 is 1/5. The opposite of that is -1/5.

A perpendicular line will have a slope of -1/5.

Answer:

1/

Step-by-step explanation:

There are 360 degrees in a circle. There are 40 people in this survey. Each person is 9 degrees, so 1 degree is 1/9 of a person.

Answer:

The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal is 20 times

Step-by-step explanation:

The given information are;

For the Lazarus' Boat Rentals company

The yearly charges by Lazarus' boat company = $105

The charge each time a member rents  a boat  = $9.50

For the Robert's Boat Rentals company

The yearly charges by Robert's boat company = $0

The charge each time a member rents  a boat  = $14.75

Let the number of times required before the charges for both Lazarus' Boat Rentals company and Robert's Boat Rentals company to be equal, we have;

$105 + $9.50 × t = $14.75 × t

∴ t = $105/($14.75 - $9.50) = 20 times

The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal = 20 times.

Answer:

-17/8

Step-by-step explanation:

Answer:

1)

Step-by-step explanation:

\( {(x - 5)}^{2} = 38\)

The required step solving the equation using Completing the square method is (x - 5)² = 38.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the Equation: x² - 10x-13 = 0

Now, half the coefficient of x and add and subtract the square of the half of the coefficient of x.

So, x² - 10x-13 = 0

x² - 10x-13 -5² + 5² = 0

(x - 5)² - 25 - 13 = 0

(x-5)² -38= 0

(x - 5)² = 38

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The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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3(x + 6) > 4x - 2. The equation that correctly translates the statement is 3(x + 6) > 4x - 2, which states that three times the sum of a number and 6 is greater than four times the number decreased by 2.

To translate the statement, we can start by writing out each part of the statement as an equation. The statement says that three times the sum of a number and 6 is greater than four times the number decreased by 2. The first part of the statement is 3(x + 6). This equation is saying that three times the sum of a number and 6 is the result. The second part of the statement is 4x - 2, which is saying that four times the number decreased by 2 is the comparison value. When combined, the equation 3(x + 6) > 4x - 2 states that the result of three times the sum of a number and 6 is greater than the comparison value of four times the number decreased by 2.

The complete question: Three times the sum of a number and 6 is greater than 4 times the number decreased by 2. If x represents the number, which equation is a correct translation of the statement?

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The key features of the absolute value function y = |x - 2| - 4 include the following:

In Mathematics and Geometry, an absolute value function is a type of function that comprises an algebraic expression, which is placed within absolute value symbols, and it typically measures the distance of a point on the x-axis to the x-origin (0) of a graph.

When y = 0, the x-intercept can be determined as follows;

f(x) = |x - 2| - 4

0 = |x - 2| - 4

4 = -x + 2

x = 2 - 4

x = -2

When x = 0, the y-intercept can be determined as follows;

f(0) = |0 - 2| - 4

f(0) = 2 - 4

f(0) = -2

Based on the graph shown in the image attached above, we can logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-4, ∞] or {y | y ≥ -4}.

In conclusion, the the graph of parent absolute value function y = |x| was translated by 2 units to the right and 4 units down in order to produce the graph of the transformed absolute value function y = |x - 2| - 4.

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Answer:

x can equal 2, 1, 0, -1, -2.  A line graph is shown below.

Step-by-step explanation:

The absolute value means simply changing any negative number into a positive number. In this case, anything less than three and more than -3. If it was negative 3, then it would turn into 3. Which isn't less than. This means we can do  :  2, 1, 0, -1, -2.

x can equal 2, 1, 0, -1, -2.

Answer: THE ANSWER TO YOUR QUESTION IS "ONE WOULD EXPECT THE DEPENDENT VARIABLE TO INCREASE!

Answer:

Choice 3, a = 1, b = 4, c = 5

Step-by-step explanation:

9/11 ÷ 5/11 = 9/5 (the denominators cancel)

Now take take the difference between the denominator and the numerator which is 9-5 which is 4.

5 goes into 9 once so a is 1, 4 which we solved as the difference is b, and c is the common denominator which is 5.

We are dividing the two fractions which make an improper fraction (fraction with a numerator greater than or equal to the denominator; making it greater than or equal to 1), and converting it to a mixed fraction which is a combination of a proper fraction, and whole number. So we get the mixed fraction 1 4/5 = 9/5

Answer:

Choice 3, a = 1, b = 4, c = 5

Step-by-step explanation:

9/11 ÷ 5/11 = 9/5 (the denominators cancel)

Now take take the difference between the denominator and the numerator which is 9-5 which is 4.

5 goes into 9 once so a is 1, 4 which we solved as the difference is b, and c is the common denominator which is 5.

We are dividing the two fractions which make an improper fraction (fraction with a numerator greater than or equal to the denominator; making it greater than or equal to 1), and converting it to a mixed fraction which is a combination of a proper fraction, and whole number. So we get the mixed fraction 1 4/5 = 9/5

Step-by-step explanation:

y = 6x

..................

The term is called an identity element. In multiplication, the identity element is one because any number multiplied by one results in the same number. In addition, the identity element is zero because any number added to zero results in the same number.

The term in mathematics for the operation or number that leaves others unchanged when combined with them is called the identity element.

It is also known by the name of neutral element.

In multiplication, the identity element is one (1) because when you multiply a number by one the result remains the same as the original number. For any number a,

a1=1a=a.

While in addition, the identity element is zero (0) because when you add zero to a number, the result remains the same as the original number. For any number a,

a+0=0+a=a.

There is no identity element for subtraction, and division only has an identity element for certain sets.

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It usually signifies that the functionality being used by the chart you are attempting to update or save is not supported by your version of Excel. This may occur if the workbook was made using features that aren't backwards compatible in a more recent version of Excel.

You have a few options to deal with this situation:

1. Upgrade Excel: If you're using an outdated version, think about switching to one that supports the capabilities utilized in the chart. By doing so, you'll be able to make changes and save the worksheet without messing up the chart.

2. Save the file in compatibility mode if you need to share the workbook with someone who is using an older version of Excel but are using a newer version of the programme. You can save the file in a format that is compatible with an earlier version of Excel by using compatibility mode, albeit some functions may be disabled or changed to maintain compatibility.

3. Recreate the Chart: You might need to recreate the chart using features in your version of Excel if you don't have access to a version of Excel that supports the specific chart feature. By choosing the data and choosing the desired chart type and formatting settings, the chart must be manually constructed in this manner. This ensures compatibility with your version of Excel, albeit it may take some time.

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The scale factors are given as follows:

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Considering two equivalent side lengths, the scale factors are given as follows:

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The statement which is supported by data from stem-leaf plot are :

(a) The most common number of hours volunteered is 25, and

(d) The most common number of hours volunteered is 42.

The stem-leaf plot shows the distribution of hours volunteered by students in the community, with the first digit of the hours volunteered (the "stem") on the left and the second digit (the "leaf") on the right.

Option (a) : The most common number of hours volunteered is 25, as there are leaves with a value of 5 in the stem 2, indicating that multiple students volunteered for exactly 25 hours.

So, The most common number of hours volunteered is 25.

Option (b) : The stem-and-leaf plot does not allow to directly compare the number of students who volunteered more than 30 hours to those who volunteered fewer than 30 hours.

Option (c) : We cannot determine from the stem-and-leaf plot whether the number of students who volunteered between 9 and 20 hours is greater than the number of students who volunteered more than 40 hours.

Option (d) : The most common-number of hours volunteered is 42, as there are leaves with a value of 2 in the stem 4, which corresponds to the 40s.

Therefore, the correct options are (a) and (d).

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The given question is incomplete, the complete question is

The total number of hours each student spends volunteering in their community is shown in the stem-and-leaf plot.

    Hours Volunteered

                  Stem   Leaf

                      1      0 2 3 4 7 8

                      2     1  2 5 5 6 8

                     3      0 3 4 4 4

                     4      1  2 2

Which statement is supported by the data in the stem-and-leaf plot?

(a) The most common number of hours volunteered is 25.

(b) The number of students who volunteered more than 30 hours is greater than the number of students who volunteered fewer than 30 hours.

(c) The number of students who volunteered between 9 and 20 hours is greater than the number of students who volunteered more than 40 hours.

(d) The most common number of hours volunteered is 42.

If two triangles, A and B, are proportional, this means that exists some number k such that:

We know that:

Triangle A:

BaseA = 10cm

HeightA = 8cm

Triangle B:

BaseB = 15cm

HeightB = x

Then, we can find k by:

And solve:

Now that we know the value of k, we can find the unknown height:

Thus, the answer is:

The height of the second triangle is 12cm

The portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

To calculate the portfolio weights for stock A and stock B, we need to determine the total value of the portfolio and the proportion of each stock's value within that total.

The total value of the portfolio can be calculated as follows:

Total value = (Number of shares of stock A × Price per share of stock A) + (Number of shares of stock B × Price per share of stock B)

Total value = (135 × $84) + (110 × $82)

Total value = $11,340 + $9,020

Total value = $20,360

Now, we can calculate the portfolio weights for each stock:

Weight of stock A = (Value of stock A ÷ Total value) × 100%

Weight of stock A = (($84 × 135) ÷ $20,360) × 100%

Weight of stock A = $11,340 ÷ $20,360

Weight of stock A ≈ 0.5569 or 55.69%

Weight of stock B = (Value of stock B ÷ Total value) × 100%

Weight of stock B = (($82 × 110) ÷ $20,360) × 100%

Weight of stock B = $9,020 ÷ $20,360

Weight of stock B ≈ 0.4431 or 44.31%

Therefore, the portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

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Two column proof is as follows

Statement                              Reason

AB ≅ CB                                Given                  

AD ≅ CD                               Given

< BAD ≅ < BCD                     Given

< ABD = < CBD                      Definition of angle bisection

AB = CB                                 Definition of equality

BD = BD                                 Reflexive property of congruence

AD = DC                                 Definition of bisection

Δ ABD = Δ CBD                     SSS postulate of congruence

This is a method of proof that consists of five parts which include

The postulate says that when the three sides of the triangles under comparison are equal then the triangles under comparison are said to be congruent.

In the figure,

AB =CB, from the given sides

BD = BD sharing common sides

AD = CD line AC was bisected by line BD

This completes the SSS proof of congruence

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The complete sentence is, There are 12 quarters in 3 units.

A quarter represents one-fourth of the whole part.

A quadrant of a circle is the quarter of the complete circle.

From the given information 3 lines are given and each line is divided into 4 parts so we can call each part a quarter.

Therefore, The statement is, There are 12 quarters in 3 units.

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The approximate height of the mountain is 407 feet (rounded to the nearest foot).

To approximate the height of the mountain, we can use trigonometry and the given angles of elevation.

Let's assume the height of the mountain is represented by 'h' (in feet). We need to find the value of 'h'.

The first angle of elevation is 1.7°. This means that if we draw a right triangle with the base as the distance from the observer to the mountain (let's call it 'x') and the height as 'h', the tangent of the angle 1.7° is equal to h/x.

Therefore, we have: tan(1.7°) = h/x.

Similarly, for the second angle of elevation of 12°, after driving 22 miles closer to the mountain, the distance from the observer to the mountain becomes (x - 22). Using the same logic as above, we have: tan(12°) = h/(x - 22).

Now we have two equations with two unknowns (h and x). We can solve these equations simultaneously to find the value of 'h'.

From equation 2, we can express x in terms of h as: x = h/tan(1.7°).

Substituting this value of x in equation 1, we get: tan(12°) = h/(h/tan(1.7°) - 22).

Simplifying the equation, we find: tan(12°) = tan(1.7°)/(1 - 22tan(1.7°)/h).

Rearranging the equation, we have: h = (tan(12°) * h)/(tan(1.7°) - 22tan(1.7°)).

Solving the equation, we find that h ≈ 407.15 feet.

Therefore, the approximate height of the mountain is 407 feet (rounded to the nearest foot).

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The solution below gives the approximate height of the mountain i.e. 407 feet (rounded to the nearest foot).

To approximate the height of the mountain, we can use trigonometry and the given angles of elevation.

Let's assume the height of the mountain is represented by 'h' (in feet). We need to find the value of 'h'.

The first angle of elevation is 1.7°. This means that if we draw a right triangle with the base as the distance from the observer to the mountain (let's call it 'x') and the height as 'h', the tangent of the angle 1.7° is equal to h/x.

Therefore, we have: tan(1.7°) = h/x.

Similarly, for the second angle of elevation of 12°, after driving 22 miles closer to the mountain, the distance from the observer to the mountain becomes (x - 22). Using the same logic as above, we have: tan(12°) = h/(x - 22).

Now we have two equations with two unknowns (h and x). We can solve these equations simultaneously to find the value of 'h'.

From equation 2, we can express x in terms of h as: x = h/tan(1.7°).

Substituting this value of x in equation 1, we get: tan(12°) = h/(h/tan(1.7°) - 22).

Simplifying the equation, we find: tan(12°) = tan(1.7°)/(1 - 22tan(1.7°)/h).

Rearranging the equation, we have: h = (tan(12°) * h)/(tan(1.7°) - 22tan(1.7°)).

Solving the equation, we find that h ≈ 407.15 feet.

Therefore, the approximate height of the mountain is 407 feet (rounded to the nearest foot).

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No, one does not have to examine all the points in the feasible region as the optimal solution exists at one of the corner points.

It follows from the task content that the point where the optimal solution of a linear optimization problem exists is to be determined.

It is note-worthy to know that a feasible region’s optimal solution must be a corner point of the feasible region and at this point is where the objective function is maximised or minimised the value of the objective function.

Therefore, although all solutions in the feasible regions are valid; However, in a bid to determine the optimal solution, the corner points of the constraints-objective function plot are considered.

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Answer:

45

Step-by-step explanation:

Total score = 35 + (-10) + (-15) + 20 + 5

Total score = 35 - 10 - 15 + 20 + 5

Total score = 60 - 25

Total score = 45