Answer:
1,256 flower
Step-by-step explanation:
First, we need to calculate the circumference of the circle. The formula for the circumference of the circle is:
C
=
2
π
r
If we substitute
100
ft
for
r
and use
3.14
to approximate
π
we get a circumference of:
C
=
2
⋅
3.14
⋅
100
ft
C
=
6.28
⋅
100
ft
C
=
628
ft
We can now convert the circumference in feet to inches;
628
ft
×
12
in
1
ft
⇒
628
ft
×
12
in
1
ft
⇒
628
×
12
in
⇒
7536
in
To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:
7536
in
×
1
flower
6
in
⇒
7536
in
×
1
flower
6
in
⇒
7536
×
1
flower
6
⇒
7536
flower
6
⇒
1256
flower
You would require 1,256 flowers
In the triangle above, a = 45. What is the value of b ?
Consider the inequality 5≤x+12 5 ≤ x + 12
And can you please solve the inequality.
The solution for the inequality 5 ≤ x + 12 is x ≥ -7 or x is greater than or equal to -7.
What is inequality?The relationship between two expressions that are not equal to one another is shown by inequality.
The given inequality is,
5 ≤ x + 12.
Simplify the inequality,
Subtract 5 from both the sides,
5 - 5 ≤ x + 12 - 5
0 ≤ x + 7
Further, subtract 7 from bot the sides,
0 -7 ≤ x + 7 - 7
-7 ≤ x
or x ≥ -7
The simplified form of the inequality is x ≥ -7.
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Which expression is equivalent to2 3?
4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3. All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same number are equivalent to 2/3.
And, The expression is equivalent to 2 divide by 3
Now, According to the question:
All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same integer are equivalent to 2/3.
2/3 × 2/2 = 4/6
2/3 × 3/3 = 6/9
2/3 × 4/4 = 8/12
2/3 × 5/5 = 10/15 and so on...
4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3.
Thus, 4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3.
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Is a graph a function or not?
a ferry will safely accommodate 66 tons of passenger cars. assume that the mean weight of a passenger car is 1.7 tons with standard deviation 0.5 tons. if a random sample of 36 cars are loaded onto the ferry, what is the probability that the maximum safe weight will be exceeded? hint! think about the average safe weight g
There is a 4.5% (or 0.045) probability that the maximum safe weight will be surpassed.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur.
Probability and odds are two distinct ideas.
Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
So, we know that;
Average u = 1.8 tons
r = 0.5 for the standard deviation
n = 35 data points
68 tons or more would be the combined weight of the 35 automobiles. Each car's average weight should be greater than:
X = 68/35 = 1.943
After that, we can utilize that to calculate the z value.
Z = (X - u)/(r/√n)
Z = (1.943 - 1.8)/(0.5/√35)
Z = 1.692
We must determine the p-value at Z > 1.692 in order to evaluate the likelihood:
P(Z > 1.692) = 0.0453
Therefore, there is a 4.5% (or 0.045) probability that the maximum safe weight will be surpassed.
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The sixth-graders at Kendrick's school got to choose between a field trip to a museum and a field trip to a factory. 14 sixth-graders picked the museum. If there are 56 sixth-graders in all at Kendrick's school, what percentage of the sixth-graders picked the museum?
There are 35% sixth-graders at Kendrick's school who picked the museum.
What is percentage?Percentage is a part of the whole number.
When the denominator is 100, percentages are really just fractions. We place the percent symbol (%) beside a number to indicate that it is a percentage.
1 %= 1/100.
Given that,
Total number of sixth-graders at Kendrick's school = 56,
Also,
The number of s sixth-graders that picked the museum = 14.
The percentage of the sixth-graders that picked the museum
= (14/56) x 100
= (1/4) x 100
= 25 %
25 percent of the sixth-graders picked the museum.
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What is the end behavior of the graph of f x )= x5 8x4 16x3?
The end behavior of the graph is that it tends towards negative infinity as x approaches negative infinity, and tends towards positive infinity as x approaches positive infinity.
The end behavior of the graph of f(x) = x5 - 8x4 + 16x3 can be determined by looking at the leading term of the polynomial. The leading term of the polynomial is x5, which is positive for positive values of x and negative for negative values of x. Therefore, as x approaches negative infinity, the graph of f(x) will tend towards negative infinity, and as x approaches positive infinity, the graph of f(x) will tend towards positive infinity. To understand this further, consider what happens when x is very large, either positive or negative. As the absolute value of x increases, the leading term of the polynomial, x5, will have an increasingly large influence on the value of the polynomial, and any other terms will become insignificant. Therefore, for very large values of x, the graph of f(x) will almost entirely reflect the behavior of the leading term, which is to approach negative infinity for negative values of x and positive infinity for positive values of x.
f(x) = x5 - 8x4 + 16x3
When x is very large, either positive or negative:
When x is very large and positive:
f(x) ≈ x5
f(x) → ∞
When x is very large and negative:
f(x) ≈ -x5
f(x) → -∞
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What is the median of the following 26 27 28 29 30?
The median of the set of numbers 26, 27, 28, 29, and 30 is 28. This is the middle number in the ordered set, and it is not affected by extreme values or outliers.
The median of a set of numbers is the value that is exactly in the middle of the set when it is ordered from least to greatest. In this case, the set of numbers is 26, 27, 28, 29, 30. When we order this set from least to greatest, we get 26, 27, 28, 29, 30. There are five numbers in this set, so the median is the third number. The third number in this set is 28, so the median is 28.
To find the median, we first need to arrange the numbers in order from least to greatest. If there is an odd number of numbers in the set, the median is the middle number. If there is an even number of numbers in the set, the median is the average of the two middle numbers. In this case, there are five numbers in the set, so the median is the middle number.
In summary, the median of the set of numbers 26, 27, 28, 29, 30 is 28. This is the middle number in the ordered set, and it is not affected by extreme values or outliers.
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4) One-square foot floor tiles come 26 to a package. Find how many packages are needed to
cover a rectangular floor 17 feet by 26 feet.
A total of 11492 packages are needed to cover a rectangular floor.
What is a rectangle?
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Given, One-square foot floor tiles come in 26 packages.
dimension of rectangular floor = 17 feet by 26 feet
Then, total area = 17*26 = 442 square foot
So, total packages needed = 442*26 = 11492
Hence, a total of 11492 packages is needed to cover a rectangular floor.
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How do you calculate maximum value?
Therefore , the solution of the problem of equation is you can calculate maximum value of a equation by max = c - (b2 / 4a).
What is the equation?
Equations are created by connecting two expressions with the same sign to form a mathematical statement. An example is the equation
3x - 5 = 17. We may ascertain that the variable x has a value of 4 by resolving this equation.
According to the given question:
You can use the formula max = c - (b2 / 4a) to determine the maximum value if you are given the formula y = ax2 + bx + c.
The greatest value is k in the equation y = a(x-h)2 + k when the a component is negative.
Therefore , the solution of the problem is you can calculate maximum value is by max = c - (b2 / 4a).
Complete question:
How do you calculate maximum value of a equation?
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An architect maps two buildings, which are located on a piece of land, onto a coordinate plane. He wants to build a wall at the diagonal ac to divide the piece of land into two parts. What will be the length of the wall?.
The length of the wall will be 6√5 units.
The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric form or object. For instance, the length and width of a rectangle define its dimensions.
The length of the wall = diagonal AC = distance between point A (-6, -2) and point C (6, 4).
Distance formula between two points on a graph (d) = [tex]\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }[/tex]
Where,
A(-6,-2) = (x1,y1)
C(6,4) = (x2,y2)
[tex]d=\sqrt{(6-(-6))^{2}+ (4-(-2))^{2} }\\d= \sqrt{(6+6)^{2}+ (4+2)^{2} }\\d=\sqrt{(12)^{2}+ (6)^{2} }\\d= \sqrt{180} \\d= \sqrt{36*5}\\ d=6\sqrt{5}[/tex]
Thus, The length of the wall will be 6√5 units.
Refer to the image attached for the graph missing in the question.
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the volume of a rectangular prism is 165 cubic inches. the base of the prism has an area of 15 square inches. what is the height of the prism
Answer:
H = 11
Step-by-step explanation:
We have 10 gallons of gas in the
car. We use 1 gallons each hour.
How many hours of gas do we
have?
Answer: 10 hours
Step-by-step explanation:
If you are using 1 gallon of gas per hour and have 10 gallons of gas you subtract 1 gallon for every hour you use the car.
the circle with equation x² + y² + sx + ty + 33 = 0 has center (4,5) what is s/t?
someone help please!
The Value for s/t is 4/5.
What is Equation of Circle?We know that the general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
Given:
x² + y² + sx + ty + 33 = 0
x² + y² + sx + s²x²/4 + ty + t²y² / 4 + 33 = 0
(x² + + sx + s²x²/4) + (y² + ty + t²y²/4 ) + 33 = 0
(x+ sx/2)² + ( y+ ty/2)² + 33 = 0..............(1)
We know that the standard form
(x-a)² + (y- b)² = r²
where (a, b) is the center.
So, We have center (4,5)
(x-4)² + (y- 5)² = r²
Now Comparing above with Equation (1) we get
s/2 = -4 and t/2 = -5
s= -8 and t= -10
Then, s/t= -8/(-10)= 4/5
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When should we submit SSS sickness notification?
After the confinement period begins, the SBA Form must be filed to SSS loan within five (5) calendar days for Home Confinement. SSS must receive the SBA Form for Hospital Confinement within one (1) year of the patient's release from the hospital.
OFW members will begin receiving a 30-day grace time for filing illness benefit applications beginning on August 18, 2015, in addition to the current five-day prescriptive period.
This is done to allay the worry that people's claims for sickness benefits are frequently penalized for late submission because of the distance between their place of employment/residence and the closest SSS international branch. The additional 30-day grace period is only applicable in situations where hospital confinement is not necessary.
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What is the standard deviation of 95?
Answer:
Step-by-step explanation:
5 is the standard deviation of 95
Part Two: Using Critical Project Management Tools swer the following questions, using as much space as you need 7 (3) 2 (2) 5 (1) 5 2 3 (2) 2 (3) 4 (2) 2 (3) 6(3) 1 6 3 12 3 (3) 2 (2) 2 (2) 4 10 Duration (#of People) Let's reinterpret the resource demands over time for a left-justified schedule assuming you have five people available. Create a left-justified schedule for the project above, assuming five people, and answer the following questions. 1. Map the earliest start times for each activity to the resource demands over time. What are the earliest start times for each activity? 2. Level the schedule so it is consistent with resource availabilities. What is the new project duration? 3. For this project network, identify the critical sequence. (Frame your answer as Activity Node X to Activity Node Y to Activity Node Z, etc.)
The resource-constrained schedule has a duration of 24 and a duration of 17 with 2 critical schedules.
What is resource constrained schedule?Resource-constrained project scheduling entails the planning of project operations that are subject to priority and resource limitations in order to best achieve the objective(s). The range of problems kinds is extensive in this field.
Given, reinterpreting the resource demands over time for a left-justified schedule assuming you have five people available. For Map, the earliest start times for each activity to the resource demands over time
ACT activity ES EF LS LF Slack
1->2 a 0 3 0 3 0
1->4 b 0 3 10 13 10
2->3 c 3 5 3 5 0
2->5 d 3 8 3 8 0
5->8 e 8 15 8 15 0
3->6 f 5 9 5 9 0
6->9 g 9 11 9 11 0
4->10 h 3 5 13 15 10
10->12 I 5 7 15 17 10
8->12 j 15 17 15 17 0
9->12 k 11 17 15 17 0
The resource-constrained schedule has a duration of 24
day 1 2 3 4 5 6 7 8 9 10 11 12 13
activity a,b a,b a,b c,d c,d (d,f,h)(d,f,h) d,f f, I e, I e e e
resources 5 5 5 4 4 5 5 3 4 4 3 3 3 3
day 14 15 16 17 18 19 20 21 22 23 24
activity e e e j,g j,g k k k k k k
resources 3 3 3 5 5 3 3 3 3 3 3
There are 2 critical schedules
first - (1-2)-->(2-5)-->(5-8)-->(8-12)
second - (1-3)-->(3-6)-->(6-9)-->(9-12) with duration 17.
Therefore, The two important schedules in the resource-constrained schedule each have a duration of 24 and 17, respectively.
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What is the slope intercept for 4x Y =- 5?
The slope of the equation 4x+y = -5 is -4 and the y-intercept is -5.
To find the slope and y-intercept of the equation 4x+y = -5, you can rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To rearrange the equation 4x+y = -5 into slope-intercept form, you can subtract 4x from both sides to get
y = -4x - 5
In this form, the coefficient of x is the slope (m = -4) and the constant term (-5) is the y-intercept (b = -5).
You can graph this equation by plotting the y-intercept at (0, -5) and using the slope to find additional points on the line. For example, if you increase x by 1, the corresponding change in y can be found by using the slope:
y = (-4 * 1) + (-5) = -9.
This means that the point (1, -9) is also on the line. You can repeat this process to plot additional points on the line and connect them to graph the equation.
--The question is incomplete, answering to the question below--
" What is the slope and y-intercept for 4x+y = -5?"
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HELP!!!!
Drag numbers to complete the table for missing values of x, x2, and x3
Here, the value of x = 20, x² = 400 and x³ = 8000.
What is Factorization ?
The breaking or breakdown of one entity into a product of another entity, or factors, which when multiplied together yield the original number, is known as factorization or factoring in mathematics.
We've x³ = 8000 ...............equation 1
we can factor it as follows :
8000 = 2×2×2×10×10×10
8000 = 2³ × 10³
8000 = 20³ .............................equation 2
Now, By comparing equation 1 and 2,
We get, x = 20.
So, x² = 20 × 20 = 400.
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Find the non-extraneous solutions of √x+6-5=x+1. (1 point)
Ox=-2
Ox=-6 and x = -5
Ox=-6 and x = -2
O x = 2
How do you find the area of a contour?
What Z mean in sets?
The capital Latin letter Z denotes a set of integers in mathematics.
Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}
In sets, thus we may use it to describe the elements of a set using Z. For example A is set of integers greater than -5 and less than 0. So it can be expressed as
A = { x : -5<x<0, x∈Z}
This is equivalent to A = { -4, -3, -2, -1}. But when the number of elements is infinite or too large to list out the other method is opted. The ∈ symbol means belong to.
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What is an example of a one solution equation?
For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2.
What is the definition of an equation?
An equation is basically a statement that equates two expressions.
An equation must contain an "equality" sign.
Which is the best definition of a two step equation?
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
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A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8, –4). answer the questions about line t to write the equation. what is the slope of line t? what is the y-intercept of line t? what is the equation in slope-intercept form of line t?
The slope of line t is -3/4, y-intercept of line t is 2 and the equation of line t in slope-intercept form is y = -3/4x + 2.
To find the slope of line t, we can use the slope formula, which is:
slope = (y2 - y1) / (x2 - x1)
In this case, we know that line t passes through the points (0, 2) and (8, -4), so we can plug in the coordinates to find the slope:
slope = (-4 - 2) / (8 - 0)
= -6 / 8
= -3/4
The slope of line t is -3/4.
To find the y-intercept of line t, we can use the point-slope form of a linear equation, which is:
y - y1 = m(x - x1)
In this case, we know that line t passes through the point (0, 2), and we know the slope of the line is -3/4. We can plug these values into the point-slope form to find the y-intercept:
y - 2 = (-3/4)(x - 0)
y - 2 = -3/4x
y = -3/4x + 2
The y-intercept of line t is 2.
To write the equation of line t in slope-intercept form, we can use the slope and y-intercept we found above:
y = -3/4x + 2
This is the equation of line t in slope-intercept form.
Thus, The slope of line t is -3/4, y-intercept of line t is 2 and the equation of line t in slope-intercept form is y = -3/4x + 2.
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slope = (y2 - y1) / (x2 - x1)
slope = (-4 - 2) / (8 - 0)
= -6 / 8
= -3/4
The slope of line t is -3/4.
y - y1 = m(x - x1)
y - 2 = (-3/4)(x - 0)
y - 2 = -3/4x
y = -3/4x + 2
The y-intercept of line t is 2.
y = -3/4x + 2
This is the equation of line t in slope-intercept form.
Thus, The slope of line t is -3/4, y-intercept of line t is 2 and the equation of line t in slope-intercept form is y = -3/4x + 2.
What is the characteristic of the leading coefficient?
Since the leading coefficient can be any real number, The characteristic of the leading coefficient are the characteristic of a real number.
What do you mean by a polynomial?Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.
What do you mean by leading coefficient?The term with the greatest x power is the leading term in a polynomial function. The leading coefficient is the coefficient of the leading phrase.
The characteristics of the leading coefficient are:
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What are the factors of the expression x² 6x 16?
On solving the provided question we can say that, - the factors of the given equations [tex]x^2 +6x - 16\\[/tex] are - x= -4 and x = 2
What is factor?A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.
[tex]x^2 +6x - 16\\[/tex]
(x+4)(x-2)
x= -4 and x = 2
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How many terms are there in the expression 7x 2 )+ 5x 5?
The number of terms in the expression is 3.
What is an algebraic expression?An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.
Let's write the algebraic expression
7x² + 5x + 5
As we can see this expression has some addition operations that cannot be solved because they differ from variable, but this helps us in a way to determine the number of terms and these are:
n1 = 7x²n2 = 5xn3 = 5The expression has 3 terms
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17. (4 points) On the set of axes below, draw the graph of the equation y = -3/4x +3.
(2 points) is the point (3,2) a solution to the equation?
Explain your answer based on the graph drawn.
(3,2) is not a solution because it does not satisfy the equation and the line on the graph does not pass through it.
How to find the solution to an equation?
We perform the same operations on both sides to ensure that the equality of both expressions is maintained.
Solving equations generally entails determining the values of the variables used in the equation for which the equation under consideration is true.
Given that:
The graph of the equation is y = -3/4x + 3.
To find if the point (3, 2) a solution to the equation.
substitute the point to to satisfy the equation;
y = -3/4x + 3
y = -3/4(3) + 3
y = -9 / 4 + 3
y = 3/3 = 1
Hence, (3,2) isn’t a solution because it doesn't satisfy the equation and also the line on the graph doesn’t go through it .
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The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October:
Part A: Using computer software, a correlation coefficient of r = 0.51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not?
Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm.
The number of pumpkins that were harvested on the farm during in the month of October is shown below, in accordance with the correlation concept.
It is, in Part A.
Part B: the quantity of harvested pumpkins and the quantity of fertiliser used.
what is correlation?
Correlation is a statistical measure that evaluates the strength of a relationship between two variables. It can range from -1 to +1, where -1 indicates a perfect negative linear correlation, 0 indicates no linear correlation, and +1 indicates a perfect positive linear correlation. Correlation is used to measure the strength of the relationship between variables, and whether changes in one variable are associated with changes in the other. Correlation analysis can also help to identify patterns and trends in data, and can be used to make predictions about future outcomes.
Part A:
The stronger the correlation between two variables, as well as vice versa, the closer this same correlation coefficient is to 1. Additionally, the correlation coefficient is closer to 1 the closer this same data points are spaced apart on a scatter plot.
The scatter plot depicted shows a correlation between the quantity of pumpkins and the number of days. The data points are, however, somewhat further apart from one another. The two variables have a moderate relationship, as evidenced by this. Consequently, the calculated correlation coefficient, r, of 0.51 can be regarded as accurate because r of 0.51 denotes a moderate relationship between the two variables.
Part B:
Instead of the day in October, the amount of fertiliser used could have an impact on the number of pumpkins harvested. As a result, we can evaluate the quantity of pumpkin harvested and fertiliser used.
Therefore,
Part A: YES, it is.
Part B: the quantity of harvested pumpkins and the quantity of fertiliser used.
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The advantages of automation include: (1) reduced output variability (II) reduced variable costs. (III) machines don't strike or file grievances. (IV) machines are always less expensive than human labor. Multiple Choice
O I and IV
O II and III
O I, II, and III
O I and il
The advantages of automation include
(III) machines don't strike or file grievances.
(IV) machines are always less expensive than human labor.
What is automation?Automation refers to technological applications where the amount of human input is reduced. This includes personal applications like home automation, business process automation (BPA), and IT automation.
By predetermining decision criteria, subprocess relationships, and related actions, automation refers to a wide range of technologies that minimize human intervention in processes.
Machine has the advantage of not going on strike or filing grievances. It just obey instruction. Strike are human way of showing grievances. With automation, there is no issue of strike or filing for grievance.
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