Given m || n, find the value of x and y

Answer:  Explanation and answer is attached.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You need to dialate the shape by 2 centered in the origin and it rotates 180 degrees.

Answer:

-8

Step-by-step explanation:

x+x+1= -15

2x+1=-15  (group the x's together)

2x= -14 (move the 1 to the right side)

x= -7

(-7)+(-8) = -15

-8 is the smaller integer

The required two consecutive integers are -7 and -8, where -7 > -8.

Given that,

The sum of two consecutive integers is -15, which equation could you use to find the two integers, and what is the smaller integer to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
let the number be x , and another number greater than x be x +1

Now,
Accoding to the question,
x + x + 1 = -15
2x + 1 = -15
2x = -16
x = -16 / 8
x = -8

Now,
Other number = x + 1 = -8 + 1 = -7

Thus, the required two consecutive integers are -7 and -8, where -7 > -8.

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The coefficient is:

Work/explanation:

To find the coefficient of m, we will take a look at the number that comes in front of m.

That number is 9. Hence, that's the coefficient.

Extra info

Answer:

the three vertices are (1, 1), (2, 0), (-1, -3).

The vertices of the triangles are the coordinates of the point of

intersection of the graph of the equation of the three lines.

Correct response:

The coordinates of the three vertices of the triangles are;

E. \(\underline{(2, 0), \ (1, -1), \ and \ (-1, -3)}\)

The equation of the given lines are;

y = -x + 2, y = 2·x - 1, y = x - 2

The point of the intersection of the two lines, gives the vertices, and are

the solution of the two linear equations of the lines.

At the points where the lines intersect, we have;

-x + 2 = 2·x - 1

Which gives;

3·x = 3

x = 1

y = -1 + 2 = -1

A vertex is at the point (1, -1)

The coordinate of the second vertex is given as follows;

2·x - 1 = x - 2

2·x - x = -2 + 1 = -1

x = -1

y = -1 - 2 = -3

The second vertex is; (-1, -3)

The coordinates of the third vertex is given as follows;

-x + 2 = x - 2

2·x = 4

x = 2

y = 2 - 2 = 0

Which gives the point; (2, 0)

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Answer:

16 yards of barbed wire

Step-by-step explanation:

Length=5 yards

Width=3 yards

Perimeter of the pasture=2(length + width)

=2(5 yards +3 yards)

=2(8 yards)

=16 yards

You should order 16 yards of barbed wire for fencing the pasture

This question is incomplete because it lacks the picture of the graph. Find attached to the answer, the picture of the graph.

Question:

Which function does the graph represent?

a) f(x) = (x + 3)(x + 7)

b) f(x) = (x – 3)(x – 7)

c) f(x) = 3(x – 3)(x – 7)

d)f(x) = 11(x + 3)(x + 7)

Answer:

c) f(x) = 3(x – 3)(x – 7)

Step-by-step explanation:

The function of a graph or the the graph of a function is when

f(x) = y

From the attached graph, after reading it,

They are three specific points on the x - axis, where x = 3 and x = 7, x = 8

So, where x = 3 on the x axis, y =

f(3) = 0

where x = 7 on the x axis, y =

f(7) = 0

So, where x = 8 on the x axis, y =

f(8) = 15

Looking at the options in the question,

a) f(x) = (x + 3)(x + 7)

f(x) = y

where x= 3

f(3) = (3+3)(3+7)

= 60

where x= 7

f(7) = (7+3)(7+7)

= 140

where x= 8

f(8) = (8+3)(8+7)

= 165

This option is wrong

b) f(x) = (x – 3)(x – 7)

f(x) = y

where x= 3

f(3) = (3-3)(3-7)

= 0

where x= 7

f(7) = (7-3)(7-7)

= 0

where x= 8

f(8) = (8-3)(8-7)

= 5

This option is wrong.

c) f(x) = 3(x – 3)(x – 7)

f(x) = y

where x= 3

f(3) = 3(3-3)(3-7)

= 0

where x= 7

f(7) =3(7-3)(7-7)

= 0

where x= 8

f(8) = 3(8-3)(8-7)

= 3(5)(1)

= 15

This option is correct

d)f(x) = 11(x + 3)(x + 7)

f(x) = y

where x= 3

f(3) = 11(3+3)(3+7)

= 660

where x= 7

f(7) = 11(7+3)(7+7)

= 1540

where x= 8

f(8) = 11(8+3)(8+7)

= 1815

Therefore, function the graph represents is Option c) f(x) = 3(x – 3)(x – 7)

Answer: The answer is C. f(x)= 3(x-3)(x-7)

Step-by-step explanation:

Area of two small windows is 2π ft² and area of a big window is 4π ft². So if he install a big window, it has more area and receive more light to the basement.

Jerry want to build windows in the basement which has maximum area so that it allows more light. He can either have 2 small windows of diameter 2ft or one big one with diameter 4 ft.

We have to find the area of windows.

Area of circle = πr²

Diameter of the smaller circle = 2 ft

Radius of small circle  = 2/2 = 1 ft

Area of small circle = πr² = π× 1² = π ft²

Area of two such windows = 2× π = 2π ft²

Diameter of bigger window = 4π

Radius of big window = 4/2 = 2π

Area of bigger window = πr² = π× 2² = 4π

2π < 4π. So the big window have more area than two small windows.

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Answer:  75, 9, 6, 3, 2/3, 0.53, 0, -1/2, -3, -5

Explanation:

Start with the largest number, and then write the next largest, and so on. The numbers will get smaller. Once you reach the negatives, they'll start to increase in absolute value as you move away from zero. It might help to draw out a number line.

2/3 = 0.667 approximately

-1/2 = -0.5 exactly

Answer:

75, 9, 6, 3, 2/3, 0.53, 0, -0.5, -3, -5

1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.

A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.

2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.

It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).

3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.

If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.

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In the year 2009, the factory produced 5,249,789 bulbs, while in the year 2010, it produced 624,986 bulbs. The factory produced more bulbs in 2009, with a difference of 4,624,803 bulbs.

To determine in which year the factory produced more bulbs and by how much, we compare the number of bulbs produced in 2009 and 2010. In 2009, the factory produced 5,249,789 bulbs, whereas in 2010, it produced 624,986 bulbs.

To calculate the difference, we subtract the number of bulbs produced in 2010 from the number produced in 2009: 5,249,789 - 624,986 = 4,624,803.

Therefore, the factory produced 4,624,803 more bulbs in 2009 compared to 2010. This signifies that the production output was significantly higher in 2009, indicating a more productive year for the factory in terms of bulb production.

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Answer:

Radius

Step-by-step explanation:

I know the answer

Answer:

Radius

Step-by-step explanation:

Step-by-step explanation:

I think it is

5<x</=10

I think this is what it would be

The information In a regular frequency distribution table, you can obtain information about the range, mode, median, mean, standard deviation, and shape of the distribution.

In a regular frequency distribution table, you can obtain several key pieces of information about the scores:

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According to the social construction of race perspective, race is a) not biologically identifiable but rather a social construct shaped by historical, cultural, and social factors.

According to the social construction of race school of thought, race is not biologically identifiable. This perspective argues that race is not a fixed and objective biological category, but rather a social construct that is created and maintained by society. It suggests that race is a concept that has been developed and assigned meaning by humans based on social, cultural, and historical factors rather than any inherent biological differences.

One of the main arguments supporting this view is that the concept of race has varied across different societies and historical periods. The criteria used to classify individuals into racial categories have changed over time and differ between cultures. For example, the racial categories used in one society may not be applicable or recognized in another. This demonstrates that race is not a universally fixed and inherent characteristic but is instead a socially constructed idea.

Additionally, scientific research has shown that there is more genetic diversity within racial groups than between them. This challenges the notion that race is a meaningful biological category. Advances in genetic studies have revealed that genetic variation is not neatly aligned with socially defined racial categories but rather distributed across populations in complex ways.

Furthermore, the social construction of race school of thought highlights how race is intimately linked to systems of power, privilege, and discrimination. The social meanings and significance assigned to different racial groups shape societal structures, institutions, and individual experiences. Racism and racial inequalities are seen as products of these social constructions, perpetuating unequal power dynamics and shaping social relationships.

In summary, it emphasizes that race is a dynamic concept that varies across societies and time periods, and its significance lies in its social meanings and the power dynamics associated with it.

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The last equation implies that F is a conservative vector field with the scalar potential f(x, y, z).

Suppose that F: RS R' is a vector field, and the component functions of F have continuous partial derivatives.

The curl of F is curl(F) = 0.

Then, F is a conservative vector field. (Recall that 0 = (0,0,0)).

To begin with, let F = (P, Q, R) be a vector field, which is a map from RS to R' defined by the following set of equations, F(x, y, z) = (P(x, y, z), Q(x, y, z), R(x, y, z)).

According to the given statement, the component functions of F have continuous partial derivatives.

Thus, the following equations hold:true
Partials of P exist and are continuous.true
Partials of Q exist and are continuous.true
Partials of R exist and are continuous.

Using the definition of the curl of F,

we have:curl(F) = (Ry - Qz, Px - Rz, Qx - Py)Since curl(F) = 0, it follows that:Ry - Qz = 0Px - Rz = 0Qx - Py = 0

We need to show that F is a conservative vector field. A vector field F is conservative if and only if it is the gradient of a scalar field, say f. In other words, F = grad(f) for some scalar function f.

Let us assume that F is conservative.

Then, we have:

F = grad(f) = (∂f/∂x, ∂f/∂y, ∂f/∂z)

By definition, curl(F) = (Ry - Qz, Px - Rz, Qx - Py).

Therefore, we can write:

Ry - Qz = (∂(Px)/∂z) - (∂(Qx)/∂y)Px - Rz = (∂(Qy)/∂x) - (∂(Py)/∂z)Qx - Py = (∂(Rz)/∂y) - (∂(Ry)/∂x)

Now, we can solve these equations for Px, Py,

and Pz:Pz = ∫(Ry - Qz)dx + g(y, z)Px = ∫(Qx - Py)dy + h(x, z)Py = ∫(Px - Rz)dz + k(x, y)Here, g(y, z), h(x, z), and k(x, y) are arbitrary functions of their respective variables, that is, they depend only on y and z, x and z, and x and y, respectively.

Since the component functions of F have continuous partial derivatives, we can use the theorem of Schwarz to show that Px = (∂f/∂x), Py = (∂f/∂y), and Pz = (∂f/∂z) are all continuous.

This means that g(y, z), h(x, z), and k(x, y) are all differentiable, and we can write:

g(y, z) = ∫(Ry - Qz)dx + C1(y)h(x, z) = ∫(Qx - Py)dy + C2(x)k(x, y) = ∫(Px - Rz)dz + C3(y)

Since we can take the partial derivative of f with respect to x, y, or z in any order, it follows that the mixed partial derivatives of g(y, z), h(x, z), and k(x, y) vanish.

Hence, they are all constant functions. Let C1(y) = C2(x) = C3(z) = C. Then, we have:

f(x, y, z) = ∫P(x, y, z)dx + C = ∫Q(x, y, z)dy + C = ∫R(x, y, z)dz + C

The last equation implies that F is a conservative vector field with the scalar potential f(x, y, z).

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Answer:

3/-2-2

Step-by-step explanation:

this should be parrallel

Answer:

\(4900 {mm}^{2} \)

Step-by-step explanation:

\(1 cm = 10mm \\ 1cm \times 1cm = 10mm \times 10mm \\ 1 {cm}^{2} = 100 {mm}^{2} \\ 49 {cm}^{2} = 49 \times 100 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4900 {mm}^{2} \)

Answer:

\(let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(16.8) = \frac{2.7}{x} \\ x = \frac{2.7}{0.30 } \\ x = 9 \\ now \: by \: using \: pythagoras \: theorem \: \\ h = \sqrt{p {}^{2} } + b {}^{2} \\ h = \sqrt{ {2.7}^{2} } + {9 }^{2} \\ h = 9.396\)

Answer:

The probability of number of success = C (n,k)p^kq^(n-k)

Step-by-step explanation:

This is the case of Bernoulli's experiment in which there are n independent trials with X number of success

The probability of number of success = C (n,k)p^kq^(n-k)

Where k = 0,1,2,3...n

Answer:

55%

Step-by-step explanation:

22 ÷ 40 × 100 = 55

Hope this could help you

Answer:

1.44

Step-by-step explanation:

1 box 18 candy bars each box 12.49

18 divide by 12.49 equals 1.44 each candy bars

The matching of each description with a statement about the average rate of change of the function for that interval are shown as below.

What is the average rate of change?

Average rate of change means the average rate at which one quantity is changing with respect to something else changing.

The height, in feet, of a squirrel running up and down a tree is a function of time, in seconds.

The statements are describing the squirrel's movement during four intervals of time.

Matching of each description with a statement about the average rate of change of the function for that interval.

A The squirrel runs up the tree very fast.

4 The average rate of change is large and positive.

B The squirrel starts and ends at the same height.

2 The average rate of change is zero.

C The squirrel runs down the tree.

1 The average rate of change is negative.

D The squirrel runs up the tree slowly.

3 The average rate of change is small and positive.

Hence, the matching of each description with a statement about the average rate of change of the function for that interval are shown as above.

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Answer:

I believe its D

Step-by-step explanation:

Answer: 50% or 1/2

Step-by-step explanation:

number of possible combos:

1+1, 1+2, 1+3, 1+4, 1+5, 1+6

2+1, 2+2, 2+3, 2+4, 2+5, 2+6

3+1, 3+2, 3+3, 3+4, 3+5, 3+6

4+1, 4+2, 4+3, 4+4, 4+5, 4+6

5+1, 5+2, 5+3, 5+4, 5+5, 5+6

6+1, 6+2, 6+3, 6+4, 6+5, 6+6

number of even sums within combos:

1+1, 1+3, 1+5

2+2, 2+4, 2+6

3+1, 3+3, 3+5

4+2, 4+4, 4+6

5+1, 5+3, 5+5

6+2, 6+4, 6+6

TOTAL combos:

36

TOTAL even sums:

18

so that means 18/36 or 1/2 of the possible combinations has a sum of an even number.

sorry it’s not a table but I literally worked it out while answering so that’s all my work

Waterways should retain the old backhoes equipment.

To determine whether it is more favorable to purchase new backhoes or overhaul the old ones, we will evaluate the net present value (NPV), profitability index (PI), and internal rate of return (IRR) for both options.

Net Present Value (NPV):

For the new backhoes:

The initial cost of investment = Purchase cost when new - Salvage value now

= $199,994 - $15,200 = $184,794

The net cash flow generated each year for the new backhoes remains unspecified, so we cannot calculate its NPV.

For the old backhoes:

Initial investment = Cost of the overhaul = $41,400

Net cash flow generated each year = $15,200

Using the provided PV table, we can calculate the NPV for the old backhoes:

NPV = Net cash flow generated each year * PV factor for 8 years - Initial investment

= $15,200 * 5.76162 - $41,400 ≈ $55,689.69

Since the NPV for the old backhoes is positive, retaining the old equipment is favorable.

Profitability Index (PI):

The profitability index is calculated by dividing the present value of cash inflows by the initial investment.

For the new backhoes:

Since the net cash flow generated each year is unspecified, we cannot calculate the PI.

For the old backhoes:

PI = (Net cash flow generated each year * PV factor for 8 years) / Initial investment

= ($15,200 * 5.76162) / $41,400 ≈ 2.11

The profitability index for the old backhoes is 2.11.

Based on the PI, the old backhoes have a higher profitability index than the new backhoes, indicating that retaining the old equipment is more profitable.

Internal Rate of Return (IRR):

The IRR factor for the new and old backhoes is not provided, so we cannot calculate the exact IRR.

In summary, based on the net present value (NPV) and profitability index (PI), it is more favorable for Waterways to retain the old backhoes equipment.

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Answer:

252p or £2.52

Step-by-step explanation:

If one pencil is 9p, 28 pencils would be 9 × 28 which is 252p or £2.52.

Hope this helps!

Answer:

252p

Step-by-step explanation:

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.

A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.

To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.

To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:

a1 = 3(1) + 4 = 7

Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.

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