The critical points where the inequality switches occur at p = 1 and p = 25. If the price of the product falls within the range of 1 to 25, hiring the distributor will not make the product unprofitable for the company.
To determine the values of the price p for which the product will still remain profitable if the company hires the distributor, we need to find the conditions under which the revenue (R) is greater than or equal to the cost of hiring the distributor (4p + 25). We can set up a system of equations to represent this relationship.
The given formula for the company's weekly revenue is:
R = -p² + 30p
The cost of hiring the distributor is:
Cost = 4p + 25
To find the values of p for which the product remains profitable, we need to solve the following system of equations:
R ≥ Cost
-p² + 30p ≥ 4p + 25
Let's simplify this inequality:
-p² + 30p - 4p - 25 ≥ 0
-p² + 26p - 25 ≥ 0
To solve this quadratic inequality, we can find the values of p that make the expression -p² + 26p - 25 equal to zero. These values will give us the boundary points where the inequality switches from being greater than to being less than.
Let's set -p² + 26p - 25 = 0 and solve for p:
p² - 26p + 25 = 0
Now, we can factor this quadratic equation:
(p - 25)(p - 1) = 0
Setting each factor equal to zero and solving for p:
p - 25 = 0 ---> p = 25
p - 1 = 0 ---> p = 1
So, the critical points where the inequality switches occur at p = 1 and p = 25.
To determine the values of p for which the product remains profitable, we need to check the sign of the expression -p² + 26p - 25 for different intervals of p:
1) When p < 1: Choose a value less than 1, e.g., p = 0
-(-0)² + 26(0) - 25 = -25 < 0
2) When 1 < p < 25: Choose a value between 1 and 25, e.g., p = 10
-(10)² + 26(10) - 25 = 135 > 0
3) When p > 25: Choose a value greater than 25, e.g., p = 30
-(30)² + 26(30) - 25 = 325 < 0
From the above analysis, we can conclude that the product will remain profitable when 1 < p < 25. In other words, if the price of the product falls within the range of 1 to 25, hiring the distributor will not make the product unprofitable for the company.
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the circle shown below has chords XY XZ with XY =XZ. The measure of XY is 130 as shown. What is the measure of
What is the value of the first term in the following arithmetic sequence?
-9, -2, 5, 12, ...
-9
7
9
-7
Answer:
-9
Step-by-step explanation:
-9, -2, 5, 12,.........
The first term is the first number in the sequence
-9
\(\sf{ }\)
The first first term in the following arithmetic sequence
-9, -2, 5, 12, .. is -9
can someone please help me
Answer:
A. 3*6-4-4
Step-by-step explanation:
He starts with 3 rows of 6 eggs, which can be shown in the formula 3*6, and each time he is taking away 4 eggs and hew does that twice so the only logical explanation is A. 3 x 6 - 4 - 4.
please help...........................
Answer:
a. area = 78.5
circumference = 31.4
b. area = 113.04
circumference = 37.68
Step-by-step explanation:
To find the area use:
Area = pi • r^2
They said to use 3.14 for pi.
Area = 3.14r^2
For part a, the diameter is given, 10. Radius is half of diameter. Radius is 5.
Area = 3.14•5^2
= 3.14•25
= 78.5
Same formula for area for part b. But the radius is given, 6.
area = 3.14•6^2
= 3.14 • 36
= 113.04
Circumference is
C = pi•d
part a the diameter is 10.
C = pi • 10
= 3.14 • 10
= 31.4
for part b, double the radius to find the diameter. Radius is 6, so diameter is 12.
C = pi • d
= 3.14 • 12
= 37.68
lol was i correct im not sure
your answer is correct, dw.
Answer:
you are correct :)
Step-by-step explanation:
-x^2 - 6x + 16 --> reverse the operations...
x^2 + 6x - 16 --> factor
(x + 8)(x - 2) --> hope this helps
:D
The frequency table shows the results of a survey that asked 175 high schoolers how they learn about news stories.
What is the frequency of a tenth grader getting their news from the Internet?
And please, maybe, explain how to get to the answer so I can figure this kind of stuff out?? Thanks so much if u will :) Max points!!
Answer:
hi i think the answer shouldbe 34/43 as its out of 43 and there is 34 people on the internet. I think this should be write but it may be wrong. if this is right please vote for brainliest. i hope my answer is right and this helps bye.
A) Find the centroid of the region in the first quadrant bounded by the given curves.
y=x2, x=y2
B) Sketch the region bounded by the curves, and visually estimate the location of the centroid.
y=25−x2, y=0
C) Find the exact coordinates of the centroid for the region from part B).
A) the centroid of the region is (1/4, 1/10).
A) To find the centroid of the region bounded by y=x^2 and x=y^2, we first need to find the intersection points of the curves.
Setting x=y^2, we get y=x^(1/2). Substituting this in y=x^2, we get x=x^4. Solving for x, we get x=0 or x=1.
So the region is bounded by the curves x=y^2, x=1, and y=0. To find the centroid, we need to evaluate the following integrals:
x-bar = (1/A) * ∫[0,1] ∫[0,√x] x*y dy dx
y-bar = (1/A) * ∫[0,1] ∫[0,√x] (1/2)*y^2 dx dy
where A is the area of the region, which we can find by integrating y=x^2 from x=0 to x=1:
A = ∫[0,1] x^2 dx = 1/3
Evaluating the integrals, we get:
x-bar = (1/3) * ∫[0,1] ∫[0,√x] x*y dy dx = 1/4
y-bar = (1/3) * ∫[0,1] ∫[0,√x] (1/2)*y^2 dx dy = 1/10
B) To sketch the region bounded by y=25−x^2 and y=0, we can start by plotting the y-axis and x-axis. Then, we can plot the curve y=25−x^2, which is a downward-facing parabola that intersects the x-axis at x=5 and has a maximum value of 25 when x=0. Finally, we can shade the region below the curve and above the x-axis to represent the region bounded by the curves.
```
|
| ----
| / \
| / \
| / \
| / \
---------+------------------
|0 5
```
C) To find the exact coordinates of the centroid, we can use the formula:
x-bar = (1/A) * ∫[a,b] ∫[0,f(x)] x*y dy dx
y-bar = (1/A) * ∫[a,b] ∫[0,f(x)] (1/2)*y^2 dx dy
where A is the area of the region, f(x) is the upper curve, and a and b are the x-coordinates of the intersection points.
In this case, the intersection points are x=0 and x=5. So the region is bounded by the curves y=25−x^2, y=0, x=0, and x=5. The area of the region can be found by integrating y=0 from x=0 to x=5:
A = ∫[0,5] 0 dx = 0
This doesn't make sense. It means that we made an error in setting up the integral. Looking back at the sketch, we see that we forgot to include the region between the x-axis and the curve y=25−x^2. So the area of the region is:
A = ∫[0,5] (25-x^2) dx = 125/3
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true or false, if false put correct answer
Answer: Correct
Step-by-step explanation: Brainliest pls:)
Answer:
False
Step-by-step explanation:
The cube root of -8 can be simplified as follows:
\(\sqrt[3]{-8} =\sqrt[-3]{-1*2^3}\)
Since, \(\sqrt[3]{-1}=-1\) , we can write:
\(\sqrt[3]{-8} =-1* \sqrt[3]{8}\)
Then, we can factor out the cube root of 2 from 8 as follows:
\(\sqrt[3]{8} = \sqrt[3]{2^3}=2\)
Substituting this back into the original expression, we get:
\(\sqrt[3]{-8} =-1*2=-2\)
Therefore, the cube root of -8 can be simplified as -2, which is not equivalent to\(2\sqrt[3]{2}\)multiplied by -1. Hence, the statement "cube root of (-8) is reduced to\(2\sqrt[3]{2}\)" is false.
What is a disadvantage of electron microscopes compared to light microscopes?
They do not have a very high power of resolution.
They cannot be used to view live specimens.
They can only be used by doctors.
They can only see surface details.
A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. Therefore, option B is the correct answer.
A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. This is because the electron microscope requires a vacuum environment to function properly, which would kill any live specimen. Additionally, electron microscopes can only see surface details and do not have a very high power of resolution. Lastly, electron microscopes can only be used by doctors or trained technicians, so they are not as widely available as light microscopes.
Therefore, option B is the correct answer.
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A disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens (option b). Electron microscopes use a beam of electrons to create an image, which requires a vacuum environment. This means that living organisms cannot survive in the vacuum and therefore cannot be observed with electron microscopes.
I hope this helped! :)
a rectangular prism is filled exactly with 248 cubes. the edge length of each cube is 12 cm. what is the volume of the rectangular prism?
The volume of the rectangular prism is 428,544 cubic cm.
To find the volume of the rectangular prism, we can start by determining the dimensions of the prism.
Let's assume the length, width, and height of the prism are L, W, and H, respectively.
Given that the rectangular prism is filled exactly with 248 cubes, we can express the total number of cubes as the product of the length, width, and height of the rectangular prism:
\(L \times W \times H = 248\)
Since each cube has an edge length of 12 cm, the volume of one cube can be calculated as follows:
Volume of one cube \(= (12 cm) \times (12 cm) \times(12 cm)\)
Volume of one cube \(= 1728 cm^3\)
Now, we can set up the equation based on the given information:
\(L \times W \times H = 248 \times Volume of one cube\)
\(L \times W \times H = 248 \times 1728 cm^3\)
To find the volume of the rectangular prism, we need to calculate the right side of the equation:
\(248 \times1728 = 428,544 cm^3\)
Therefore, the volume of the rectangular prism is \(428,544 cm^3\).
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What is the reflection rule that maps the triangle to its image?
P(8,4), Q(-6,5), R(4,5) and P (8,-12), Q'(-6,-13), R'(4,-13)
At a farmer’s market, Khalid bought 4 pounds of tomatoes and 7 pounds of broccoli for $28. Genevieve bought 5 pounds of tomatoes and 2 pounds of broccoli for $28. 50. Let t represent the cost of one pound of tomatoes. Let b represent the cost of one pound of broccoli. Which system of equations will solve for t and b? 4 t 7 b = 28. 50. 5 t 2 b = 28. 0. 5 t 7 b = 28. 50. 4 t 2 b = 28. 0. 4 t 7 b = 28. 0. 5 t 2 b = 28. 50. 5 t 4 b = 28. 50. 7 t 2 b = 28. 0.
The system of equations that can represent the system is 4t+7b=28 and 5t+2b=28.50.
Given to us
Khalid bought 4 pounds of tomatoes and 7 pounds of broccoli for $28.
Genevieve bought 5 pounds of tomatoes and 2 pounds of broccoli for $28. 50.
Let t represent the cost of one pound of tomatoes.
Let b represent the cost of one pound of broccoli.
What is the expression that expresses the total cost of Kalid's purchase?We know that the cost of a pound of tomatoes is t while for one pound of broccoli it is b. therefore,
4 pounds of tomatoes + 7 pounds of broccoli = $28
4(t) + 7(b) = 28
4t + 7b = 28
What is the expression that expresses the total cost of Genevieve's purchase?We know that the cost of a pound of tomatoes is t while for one pound of broccoli it is b. therefore,
5 pounds of tomatoes + 2 pounds of broccoli = $28.50
5(t) + 2(b) = 28.50
5t + 2b = 28.50
Hence, the system of equations that can represent the system is 4t+7b=28 and 5t+2b=28.50.
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Which answer is it? A B C D
Answer:
answer:
I think the answer is B
Answer:
Hello!
Step-by-step explanation:
D is incorrect because the number in trees don't change, especially at a park.
C is incorrect because the identical beads can change.
B is incorrect because playing baseball doesn't really prove the constant rate of change.
The answer is A
Given h(x) = 5x + 2, find h(-6)
Answer: h (-6) = -28
Step-by-step explanation:
1. Plug -6 into x in the function: h(-6) = 5×(-6)+ 2
2. Solve: h(-6) = -30 + 2
h(-6) = -28!
I hope this helped :)
By substituting the given value of h into the function, the value of h(-6) is 28
Given the function :
h(x) = 5x + 2To Obtian the value of h(x) for any given value of x ; substitute the value of x into the function ;
For h(-6) :
x = - 6
h(-6) = 5(-6) + 2
h(-6) = -30 + 2
h(-6) = - 28
Hence, the value of h(-6) is 28
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HELP QUICK PLEASEEEEEE
Answer:
It woule be c and d, so a)
Step-by-step explanation:
Only a and b are functions.
Justin has a savings account.
He started with $25 in his account.
He deposits $10 into the account each
week.
Let 'b' represent the amount Justin has in the bank account after 'w' weeks.
---
Which statement is correct?
A. The variable W is dependent on the variable B.
B. The variable B is dependent on the variable W.
C. Both B and W are independent variables.
D. Both B and W are dependent variables.
Answer:
D. Both B and W are dependent variables.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
took the test before an got the answer right
Alex has 10 different kinds of lunch meat and 9 different kinds of cheese. If he wants to make a sandwich with one kind of meat and two kinds of cheese, how many different sandwiches could he make
Alex can make a total of 180 different sandwiches by choosing one kind of meat from 10 options and two kinds of cheese from 9 options.
To determine the number of different sandwiches Alex can make, we need to consider the combinations of meat and cheese. Since Alex can choose one kind of meat from 10 options, there are 10 choices for the meat component of the sandwich. For the cheese component, Alex can choose two kinds of cheese from 9 options.
To calculate the total number of combinations, we can use the formula for combinations without repetition. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of choices. In this case, n is 9 (number of cheese options) and r is 2 (number of cheese choices). Thus, the number of combinations of two kinds of cheese is \(9C2\)= 9! / (2!(9-2)!) = 36.
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In the given figure find the value of x.
قيمة x تساوي أربعين
أتمنى أن يساعد :)
\(\large\underline{\sf{Solution-}}\)
Given that,
→ In triangle KML, P and N are the points on KK and KM respectively such that
\(\rm \longmapsto\:KN = c\)
\(\rm \longmapsto\:NM = b\)
\(\rm \longmapsto\:PN = x\)
\(\rm \longmapsto\:LM = a\)
\(\rm \longmapsto\: \angle \: KNP = 50 \degree\)
\(\rm \longmapsto\: \angle \: LKM = 50 \degree\)
Now,
\(\rm \longmapsto\: In \: \triangle \: LKM \: and \: \triangle \:KNP\)
\( \purple{\rm \longmapsto\:\angle \:PKN \: = \: \angle \:PKN \: \: \: \: \: \{common \}}\)
\( \purple{\rm \longmapsto\:\angle \:KNP \: = \: \angle \:KML \: \: \: \: \: \{each \: 50 \degree \}}\)
\( \purple{\rm\implies \:\triangle \:LKM \: \sim \: \triangle \:PKN \: \: \: (AA \: similarity)}\)
\(\bf\implies \:\dfrac{KN}{KM} = \dfrac{PN}{LM} \)
\(\rm \longmapsto\:\dfrac{c}{b + c} = \dfrac{x}{a} \)
\(\bf\implies \:x \: = \: \dfrac{ac}{b + c}\)
\(\textsf{Hope this helps!!}\\\)
What is the name of a grassroots group that has focused on women’s suffrage and civil rights?
Answer:
The National American Woman Suffrage Association (NAWSA) was an organization formed on February 18, 1890, to advocate in favor of women's suffrage in the United States.
(Have a nice day)
Let R be the region in the fourth quadrant enclosed by the x-axis and the curve y=x²-2kx, where k is a constant. If the area of the region R is 36, then the value of k is
a)-3
b)3
c)4
d) 6
To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.
To find the value of k, we need to follow these steps:
Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0
This means that the curve intersects the x-axis at x = 0 and x = 2k.
Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.
Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx
Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)
Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3
Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3
Take the cube root of both sides:
k = 3
The value of k is 3 (Option b).
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Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he has rolled 185 fours. Find the experimental probability of not rolling a four, based on Jimmy’s experiment. Round the answer to the nearest thousandth.
In this case, the experimental probability is D. 0.860
Why is this so?First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.
In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.
Then, the probability of rolling a 5 will be equal to:
P1 = 140/1000 = 0.14
Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:
P2 = 1 - 0.14 = 0.86
then the correct option is D
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.
A. 0.140
B. 0.167
C. 0.667
D. 0.860
Given sin A=-√3/2 and tan A >0, find cos A.
PLEASE HURRY AND SHOW WORK
Answer:
Below in bold.
Step-by-step explanation:
We have a right triangle here with the hypotenuse = 2 and the legs are 1 and √3.
If tan A > 0 then the opposite side to < A in the triangle is greater than the adjacent so the leg opposite angle A is √3 and the adjacent side = 1.
So cos A = adj/hyp = 1/2.
The table represents a quadratic function C(t).
t C(t)
2 4
3 1
4 0
5 1
6 4
What is the equation of C(t)?
The equation of the quadratic function C(t) is given as follows:
C(t) = t² - 8t + 16.
How to obtain the equation of the quadratic function?The equation of a quadratic function has the format given as follows:
y = a(x - x')(x - x'')
In which:
a is the leading coefficient.x' and x'' are the roots.From the points repeating(C(t) = 1 at t = 3 and t = 5, C(t) = 4 at t = 2 and t = 4), we have that the root of 4, as C(4) = 0, has multiplicity 2, hence:
x' = x'' = 4.
Hence:
y = a(x - 4)(x - 4)
y = a(x² - 8x + 16)
When t = 3, C(t) = 1, hence the leading coefficient a is obtained as follows:
1 = a(3² - 8(3) + 16)
a = 1
Hence the function is given by:
C(t) = t² - 8t + 16.
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Answer: C(t) = (x − 4)2
Step-by-step explanation:
Does anybody know how to does this pleaseee helppppp. The first 2 my teacher did them for me but I’m still confused pleaseee helpppp
Answer:
below
Step-by-step explanation:
A triangle can only be a triangle if the two shortest sides add up to be greater than the longest side.
For example on the first one, the segments 1 2 and 3 will not make a triangle as 1 + 2 = 3 and if the two smallest sides of a triangle are equal to the longest side it will not be a triangle at all.
So to make this easy, out of the three numbers given: add the two smallest numbers. This number has to be greater than the third number given, and it cannot be equal.
For question three: 3+9 = 12
And 12 is greater than 11, therefore this can make a triangle.
help me with this if you can
Answer:
y = 1/2x + 7
Step-by-step explanation:
this is it in slope-intercept form hope it helps
(sorry if its wrong)
partially correct your answer is incorrect. mean: your answer is incorrect. try again the numbers of students in the schools in a district are given below. (note that these are already ordered from least to greatest.) , , , , , , , suppose that the number from this list changes to . answer the following. (a) what happens to the mean? it decreases by it increases by it stays the same. (b) what happens to the median? it decreases by it increases by it stays the same.
When the number 410 is changed to 310 in the list of student numbers for the 10 schools in the district:
(a) The mean increases by 0.9.
(b) The median decreases by 7.
(a) The mean is calculated by summing up all the values and dividing by the total number of values.
Let's compare the mean before and after the change in the number 410.
Before the change:
Mean = (170 + 194 + 303 + 309 + 316 + 330 + 368 + 371 + 379 + 410) / 10 = 308
After the change (410 changed to 310):
Mean = (170 + 194 + 303 + 309 + 316 + 330 + 368 + 371 + 379 + 310) / 10 = 308.9
Comparing the mean before and after the change, we can see that the mean increases by 0.9.
(b) The median is the middle value of a sorted dataset. In this case, the median is the value that separates the lower half from the upper half when the numbers are arranged in ascending order.
Before the change:
Median = 316
After the change (410 changed to 310):
Median = 309
Comparing the median before and after the change, we can see that the median decreases by 7.
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The numbers of students in the 10 schools in a district are given below. (Note that these are already ordered from least to greatest.) 170, 194, 303, 309, 316, 330, 368, 371, 379, 410 Suppose that the number 410 from this list changes to 310. Answer the following. (a) What happens to the mean? It decreases by It increases by It stays the same. It decreases by It increases by It stays the same. (b) What happens to the median
so I am doing Eureka math and 7th grade kinda need help....rewrite the expression by using distributive property and collecting like terms. 2 4/5v - 2/3(4v+1 1/6)
Answer:
2/15v + 7/9
Step-by-step explanation:
We take our base equation, then we will make every mixed number into an improper fraction. This will give us 14/5v - 2/3(4v+ 7/6). Then we will open the parentheses. This gives us: 14/5v - 8/3v+ 14/18. We will bring both the v's to a common denominator, giving us 42/15v - 40/15v+ 14/18. Then we can subtract and simplify. 2/15v + 7/9.
THIS IS AN EMERGENCY PLEASE HELP MEE!!!!!! I NEED HELP!!!
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $50.00 in total. What percent of the bill did they leave as the tip?
Answer:
19 percent i believe
Step-by-step explanation:
x/12 -4=32 ''solve''
Answer:
x= 432
Step-by-step explanation:
x/12 - 4 = 32
+ 4 + 4
x/12 = 36
(12)x = 36(12)
x = 432
Are there 4 types of task analysis?
In general, there are five kinds of task analyses:
job or performance analysis learning analysis cognitive task analysis content or subject matter analysis activity analysisWhat is Task AnalysisTask analysis is the process of learning about ordinary users by observing them in action to understand in detail how they perform their tasks and achieve their intended goals. Tasks analysis helps identify the tasks that your website and applications must support and can also help you refine or re-define your site’s navigation or search by determining the appropriate content scope.
Purpose of Task AnalysisIn their book User and Task Analysis for Interface Design, JoAnn Hackos and Janice Redish note that performing a task analysis helps you understand:
What your users’ goals are; what they are trying to achieveWhat users actually do to achieve those goalsWhat experiences (personal, social, and cultural) users bring to the tasksHow users are influenced by their physical environmentHow users’ previous knowledge and experience influence:How they think about their workThe workflow they follow to perform their tasksLearn more about task analysis at https://brainly.com/question/22720305.
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