A design engineer is asked to develop an open pit cross section knowing the following info: 1. Max face slope 77
∘
for stability 2. Haul road width 25 m (crossing design section only once) 3. Bench width (15 m) and height (10 m) due work space limitations 4. Section Pit bottom depth 100 m at the end of the mine life. he geotechnical group at the mine estimated an erall slope angle not to exceed 45
∘
at designed ction - does previous design indices viable? If t - what to suggest to fix this problem? Use gineering to scale sketches

Answer:

32a

Step-by-step explanation:

20a + 12 = 32a

Hope this helps..

Answer:

32a

Step-by-step explanation:

False. An n × n matrix that is orthogonally diagonalizable does not necessarily have to be symmetric. A matrix is said to be orthogonally diagonalizable if it can be expressed as PDP^T, where P is an orthogonal matrix and D is a diagonal matrix.

For a matrix to be symmetric, it must satisfy the condition A = A^T, where A^T denotes the transpose of A. While it is true that symmetric matrices are always orthogonally diagonalizable, the converse is not necessarily true. There exist non-symmetric matrices that can still be orthogonally diagonalized. An example of such a matrix is the following:

  [1  2]

A = [3 4]

This matrix is not symmetric, as A^T is:

  [1  3]

A^T = [2 4]

However, it is still orthogonally diagonalizable. The matrix A can be diagonalized as:

A = PDP^T, where P = [0.8507 -0.5257]

[0.5257 0.8507]

          and D = [-0.3723   0     ]

                    [ 0      5.3723]

Therefore, it is not necessary for an n × n matrix that is orthogonally diagonalizable to be symmetric.

Learn more about orthogonally diagonalizable here: brainly.com/question/30638339

#SPJ11

Linear programming is a technique used to optimize the allocation of resources for decision-making purposes. the optimal solution is Z = 10.5, which occurs at corner point C. The values of x1 and x2 at this point are\(x1 = 3.5 and x2 = 0.\)

The graphical method is one of the simplest ways to solve linear programming problems, as it involves plotting the constraints and the objective function on a graph to determine the optimal solution. Given the problem, we can represent the constraints graphically as shown below:

The shaded region represents the feasible region, which is the region that satisfies all the constraints. The next step is to plot the objective function on the graph.

\(Z = 3x1 + 4x2\)

To plot the objective function, we need to find its intercepts with the x1 and x2 axes.

When\(x1 = 0, then Z = 4x2\)

Therefore, the intercept with the x2 axis is (0, Z/4)

When\(x2 = 0, then Z = 3x1\)

Therefore, the intercept with the x1 axis is (Z/3, 0)

We can plot these two points and draw a line between them to represent the objective function.
\(Z = 10.5\)

To know more about determine visit:

https://brainly.com/question/29898039

#SPJ11

Answer:

50.27

Step-by-step explanation:

The linear inequality for the graph in this problem is given as follows:

y ≥ 2x/3 + 1.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

When x increases by 3, y increases by 2, hence the slope m is given as follows:

m = 2/3.

Then the linear function is given as follows:

y = 2x/3 + 1.

Numbers above the solid line are graphed, hence the inequality is given as follows:

y ≥ 2x/3 + 1.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Answer:

5P5 × 20P15

Step-by-step explanation:

i think...

sorry if im wrong

good luck

Answer:

Step-by-step explanation:

(a) To find the vertical (x-) nullcline, we set dy/dx = 0, which gives y = 0 or 4-x-5y = 0. Solving for y in the second equation gives y = (4-x)/5. Therefore, the vertical nullcline is x = 4/5.

To find the horizontal (y-) nullcline, we set dx/dy = 0, which gives x = 0 or 1-4x = 0. Solving for x in the second equation gives x = 1/4. Therefore, the horizontal nullcline is y = 0.

(b) To find the equilibrium points, we need to solve the system dx/dt = 0 and dy/dt = 0. From dx/dt = 0, we have x(4-x-5y) = 0, which gives x = 0 or x = 4-5y. Substituting x = 4-5y into dy/dt = 0 gives y(1-4(4-5y)) = 0, which gives y = 0 or y = 4/5. Therefore, the equilibrium points are (0,0) and (4/5,1/4).

(c) If we start at the initial position (1/4, ), trajectories approach the point (4/5,1/4). This can be seen from the phase plane plot, where the trajectories move towards the equilibrium point (4/5,1/4) from all directions except the x-axis, where they move towards the equilibrium point (0,0) (since the horizontal nullcline is y = 0).

know more about nullcline: brainly.com/question/29841395

#SPJ11

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

Know more about multiplication principle here:https://brainly.com/question/10275154

#SPJ1

The equation of the regression line is:

y = -3.76x + 99.93

This equation represents the relationship between the number of classes missed (x) and the predicted final exam score (y) based on the given data.

x y

10 54

11 41

12 37

14 36

15 29

16 28

18 28

19 26

22 19

25 19

26 18

Based on the scatter plot, we can observe the relationship between the number of classes missed (x) and the final exam score (y). To analyze this relationship quantitatively, we can calculate the correlation coefficient and fit a regression line.

Calculating the correlation coefficient (r):

The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, we want to calculate the correlation coefficient (r) between x (number of classes missed) and y (final exam score).

Using the following formula:

r = [Σ((x - mean(x)) * (y - mean(y)))] / [sqrt(Σ(x - mean(x))^2 * Σ(y - mean(y))^2)]

Here's the calculation:

Step 1: Calculate the means of x and y:

mean(x) = (10 + 11 + 12 + 14 + 15 + 16 + 18 + 19 + 22 + 25 + 26) / 11 = 18.27

mean(y) = (54 + 41 + 37 + 36 + 29 + 28 + 28 + 26 + 19 + 19 + 18) / 11 = 31.27

Step 2: Calculate the differences from the means:

x - mean(x): -8.27, -7.27, -6.27, -4.27, -3.27, -2.27, -0.27, 0.73, 3.73, 6.73, 7.73

y - mean(y): 22.73, 9.73, 5.73, 4.73, -2.27, -3.27, -3.27, -5.27, -12.27, -12.27, -13.27

Step 3: Calculate the products of the differences:

(-8.27 * 22.73) + (-7.27 * 9.73) + (-6.27 * 5.73) + (-4.27 * 4.73) + (-3.27 * -2.27) + (-2.27 * -3.27) + (-0.27 * -3.27) + (0.73 * -5.27) + (3.73 * -12.27) + (6.73 * -12.27) + (7.73 * -13.27) = -432.41

Step 4: Calculate the sums of the squared differences:

Σ(x - mean(x))^2 = 113.41

Σ(y - mean(y))^2 = 891.91

Step 5: Calculate the square root of the product of the sums of squared differences:

sqrt(Σ(x - mean(x))^2 * Σ(y - mean(y))^2) = sqrt(113.41 * 891.91) = 322.02

Step 6: Calculate the correlation coefficient:

r = -432.41 / 322.02 = -1.34 (approximately)

The correlation coefficient (r) is approximately -1.34. ItIt indicates a strong negative linear relationship between the number of classes missed and the final exam score.

Fitting a regression line:

To fit a regression line, we need to calculate the slope (b) and the y-intercept (a) using the following formulas:

b = r * (SD(y) / SD(x))

a = mean(y) - b * mean(x)

where SD(y) is the standard deviation of y and SD(x) is the standard deviation of x.

Calculating the slope (b):

First, we need to calculate the standard deviations of x and y.

SD(x) = sqrt[Σ(x - mean(x))^2 / (n - 1)]

SD(y) = sqrt[Σ(y - mean(y))^2 / (n - 1)]

where n is the sample size.

Using the previously calculated values:

SD(x) = sqrt(113.41 / 10) = 3.37

SD(y) = sqrt(891.91 / 10) = 9.45

Now, let's calculate the slope:

b = -1.34 * (9.45 / 3.37) = -3.76 (approximately)

Calculatin

g the y-intercept (a):

a = mean(y) - b * mean(x)

= 31.27 - (-3.76 * 18.27)

= 31.27 + 68.66

= 99.93 (approximately)

learn more about scatter plot here:

https://brainly.com/question/29231735

#SPJ11

Answer:

he has 39 lunch boxes left

Step-by-step explanation:

26 + 15 + 17 gives you 58 and when you subtract 19 from 58 that leaves you with 39 left

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

If A has rank 6, then it has 6 linearly independent rows and its row space has dimension 6. If the rank of A is less than 6, then the dimension of the row space will be less than 6.

The row space of a matrix is the span of its row vectors. Therefore, the dimension of the row space is equal to the number of linearly independent rows of the matrix.

For a 9x6 matrix A, the largest possible dimension of the row space is 6. This is because there can be at most 6 linearly independent rows in a 9x6 matrix. If there were more than 6 linearly independent rows, then the matrix would have rank greater than 6, which is impossible since the maximum rank of a 9x6 matrix is 6.

For a 6x9 matrix A, the largest possible dimension of the row space is also 6. This is because the number of linearly independent rows cannot exceed the number of columns in the matrix.

Therefore, if A has rank 6, then it has 6 linearly independent rows and its row space has dimension 6.

However, if the rank of A is less than 6, then the dimension of the row space will be less than 6.

Know more about the linearly independent rows

https://brainly.com/question/31086895

#SPJ11

Answer:

\(A\cap B={2,4}\)

Step-by-step explanation:

Intersection represents the elements present in both sets.

Best Regards!

The clinic should hire at least 7 doctors in order to serve 122 patients per day.

To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.

Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.

Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.

Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.

To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.

Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.

In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.

To know more about calculating the number of doctors required to serve a specific number of patients, refer here:

https://brainly.com/question/23687011#

#SPJ11

Answer:

36

Step-by-step explanation:

She gets 6 question right for every 8 question that means a ratio of 6/8 which is equal to 3/4

so we can say the ratio multiplied by the number of questions equals the correct answers

while x is the number of questions:

solve for x

3/4 * x = 27

x = 27 / (2/3) = 36

Answer:

-5x - 4

Hope this helps!!! :)

Answer:

-8x-4. I hope that this helps kid

Charles Revson's statement refers to the augmented level of the product among the three levels of the product concept.

The product concept consists of three levels: core product, actual product, and augmented product. The core product represents the fundamental benefit or service that the customer is seeking. The actual product is the tangible product itself, including its features, design, and packaging. The augmented product includes additional services or benefits that enhance the customer experience beyond the core and actual product.

Charles Revson's remark, "In the factory, we make cosmetics; in the store, we sell hope," suggests that he recognized the importance of going beyond the physical cosmetics and offering intangible benefits to customers. He understood that customers are not only buying a physical product but also seeking emotional and psychological satisfaction. By emphasizing the emotional experience and the hope that customers would feel when using Revlon cosmetics, Revson was highlighting the augmented level of the product.

Learn more about customer here:

https://brainly.com/question/32326732

#SPJ11

D

sorry if im wrong have a good night

Answer:

26

Step-by-step explanation:

5/5+5*5

PEMDAS

Multiply and divide from left to right

1+5*5

1+25

Then add and subtract from left to right

26

Answer:

26

Step-by-step explanation:

(5/5) = 1

(5*5) = 25

26

Answer:

AB and GF are skew

DH and BF are II

EF and HG are skew

ABCD and EFGH are II

Step-by-step explanation:

II is parralell or side by side.

Skew would be like intercepting with one another.

Have an awesome day! :D

The coordinates of M are:(6-3/5(sqrt(45)), 2+8/5(sqrt(45))) or ( 5.2, 4.6 )Thus, the answer is M (5.2, 4.6)

The given line segment has P (6,2) and Q (3,8) coordinates.

Point M lies on PQ and divides the segment so that the ratio of PM:

MQ is 3:2. Let us assume that the coordinates of point M are (x, y).

We know that PM/MQ = 3/2.

Therefore, the length of PM is three-fifths of PQ, and the length of MQ is two-fifths of PQ.

We can use these ratios to determine the coordinates of M using the midpoint formula.

The midpoint formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of the endpoints.

Therefore, the coordinates of the midpoint of PQ are:

( (6+3)/2, (2+8)/2 )  = (4.5, 5)

Now, let us use the ratio of PM:

MQ to find the coordinates of M.

We know that the coordinates of P are (6, 2) and the coordinates of Q are (3, 8).

Since PM:MQ is 3:2, PM is 3/5 of the distance from P to Q, and MQ is 2/5 of the distance from P to Q.

We can use this fact to find the coordinates of M as follows:

Using the distance formula, we can find the length of PQ: d(P,Q)

= sqrt((3-6)^2 + (8-2)^2)

= sqrt(9+36)

= sqrt(45)

PM = (3/5)(sqrt(45))MQ

= (2/5)(sqrt(45)).

Therefore, the coordinates of M are:

(6-3/5(sqrt(45)), 2+8/5(sqrt(45))) or ( 5.2, 4.6 )

Thus, the answer is M (5.2, 4.6).

To know more about Coordinates  visit :

https://brainly.com/question/15300200

#SPJ11

Answer:

- 4

Step-by-step explanation:

The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to

= -6 - 6 + 10 + 2 -4

= -4

Anthony earned a total of - 4 from the 5 throws.

Answer:

A.  (5,-9) and (5,9) are reflections over the y-axis

Step-by-step explanation:

Answer:

The Answer is C

Step-by-step explanation:

The center of circle C is the midpoint of the diameter JK. We can find the coordinates of the center using the midpoint formula:

x-coordinate of center = (x-coordinate of J + x-coordinate of K)/2 = (-8 - 2)/2 = -5

y-coordinate of center = (y-coordinate of J + y-coordinate of K)/2 = (9 - 5)/2 = 2

So, the center of circle C is (-5, 2). The radius of the circle is half the distance between J and K:

radius = 1/2 * √[(x-coordinate of K - x-coordinate of J)2 + (y-coordinate of K - y-coordinate of J)2]

radius = 1/2 * √[(-2 - (-8))2 + (-5 - 9)2] = √58

Using the standard form equation of a circle with center (h,k) and radius r:

(x - h)2 + (y - k)2 = r2

Substituting the values for h, k, and r, we get:

(x + 5)2 + (y - 2)2 = 58

So, the equation that represents circle C is option C: (x + 5)2 + (y - 2)2 = 58.

#1

\(\sf \longmapsto3x-4y=11\)

\(\sf \longmapsto3x−4y+4y=11+4y\)

\(\sf \longmapsto3x=4y+11\)

\(\sf \longmapsto \frac{3x}{3} = \frac{4y + 11}{3} \)

\(\sf \longmapsto{x} = \frac{4}{3} y + \frac{11}{3} \)

#2

\(\sf \longmapsto3x+2y=2\)

\(\sf \longmapsto3x+2y+−2y=2+−2y\)

\(\sf \longmapsto3x=−2y+2\)

\(\sf \longmapsto \frac{3x}{3} = \frac{ - 2y + 2}{3} \)

\(\sf \longmapsto \: x = \frac{ - 2}{3} y + \frac{2}{3} \)

Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

To know more about innovation, refer here:

https://brainly.com/question/30929075#

#SPJ4

h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

Know more about linear function  here,

https://brainly.com/question/29205018

#SPJ11