please post clear and concise
answer.
Problem 8 (10 points). Prove that fn(x) = xe converges uniformly to 0 on [0,00). -nz
Answers
Main answer: fn(x) = xe converges uniformly to 0 on [0, ∞).
Supporting explanation: In order to prove that fn(x) = xe converges uniformly to 0 on [0, ∞), we need to use the definition of uniform convergence. Let ε > 0 be given. We need to find an N such that |fn(x) - 0| < ε for all n > N and x ∈ [0, ∞).So, we have|fn(x) - 0| = |xe| = xe < εfor all n > N and x ∈ [0, ∞).We can choose N = 1/ε, then we have|fn(x) - 0| = |xe| < εfor all n > N and x ∈ [0, ∞).This means that fn(x) = xe converges uniformly to 0 on [0, ∞). Hence, the proof is complete.
A series of fn(x) functions with n = 1, 2, 3, etc. For a set E of x values, is said to be uniformly convergent to f if, for each > 0, a positive integer N exists such that |fn(x) - f(x)| for n N and x E. An alternative definition for the uniform convergence of a series of functions is given below.
A series of fn(x) functions with n = 1, 2, 3,.... if and only if is said to converge uniformly to f; This implies that supxE |fn(x) - f(x)| 0 as n .Know more about convergence here:
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Related Questions
Those are the options
Answers
Answer:
Angle addition postulate
Step-by-step explanation:
What is the solution to this system of equations?
Y=3x+12
Y=-2x+2
A. (3,-1)
B. (-2,6)
C. (6,-2)
D. (-1,3)
Answers
Answer:
B
Step-by-step explanation:
3×-2+12=6 and -2×-2+2=6. You could also do it in a calculator it you want to found out if it true. But the Answer will be B
Hope this Help
Because 3x+12 equals
How many numbers between 1 and 200 are divisible by 4 or 6?
Answers
Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.
To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).
Divisibility by 4:
To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.
Divisibility by 6:
Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.
Numbers divisible by both 4 and 6:
To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.
Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.
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Gabriela uses two mist nets to catch songbirds to study. Songbirds are captured and taken to a banding station. She then measures each bird before freeing the bird with a band on the right leg.
The banding station is 0.6 mi due east from the bunkhouse. The first net is 0.8 mi due north of the banding station. The second net is northwest of the banding station. Gabriela and her helpers walk the following loop to collect the birds from
the nets.
They walk from the banding station directly to the first net. From the first net, they go 0.5 mi north to the boundary of a park and then go 0.9 mi due west, where they are due north of the second net. They go due south to the second net and then return directly to the banding station along a straight line southeast.
Answers
The total distance covered by the loop is approximately 2.6 miles (0.8 + 0.5 + 0.9 + 0.4 + 0.8).
Gabriela uses two mist nets to catch songbirds for her study. After capturing the birds, she takes them to a banding station, measures each bird, and frees them with a band on their right leg. To collect the birds, Gabriela and her helpers walk a loop that begins at the banding station and includes the two nets. Here are the details of the loop:
The banding station is located 0.6 miles due east of the bunkhouse.
The first net is located 0.8 miles due north of the banding station.
The second net is located northwest of the banding station.
Gabriela and her helpers start at the banding station and walk directly to the first net.
From the first net, they walk 0.5 miles north to the boundary of a park.
From the park boundary, they walk 0.9 miles due west, so that they are due north of the second net.
They then walk due south to the second net.
Finally, they return directly to the banding station by walking southeast.
It's worth noting that the loop is not a perfect rectangle, as the path from the first net to the second net is diagonal. However, the total distance covered by the loop can be calculated by adding up the distances covered in each leg of the journey:
The distance from the banding station to the first net is 0.8 miles.
The distance from the first net to the park boundary is 0.5 miles.
The distance from the park boundary to due north of the second net is 0.9 miles.
The distance from due north of the second net to the second net is not given, but we know that the second net is northwest of the banding station, so it is reasonable to assume that this leg of the journey is less than 0.9 miles.
The distance from the second net back to the banding station is also not given, but we know that the loop is a closed loop, so this leg of the journey must be equal in length to the first leg (0.8 miles).
Therefore, the total distance covered by the loop is approximately 2.6 miles (0.8 + 0.5 + 0.9 + 0.4 + 0.8).
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NEED HELP ASAP ASAP!!!!!
Answers
Help , I don’t know how to solve this
Answers
Answers in bold:
S9 = 2
i = 20
R = -2
=====================================================
Explanation:
\(S_0 = 20\) is the initial term because your teacher mentioned \(A_0 = I\) as the initial term.
Then R = -2 is the common difference because we subtract 2 from each term to get the next term. In other words, we add -2 to each term to get the next term.
Here is the scratch work for computing terms S1 through S4.
\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{1} = S_{1-1} - 2 & S_{2} = S_{2-1} - 2\\S_{1} = S_{0} - 2 & S_{2} = S_{1} - 2\\S_{1} = 20 - 2 & S_{2} = 18 - 2\\S_{1} = 18 & S_{2} = 16\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{3} = S_{3-1} - 2 & S_{4} = S_{4-1} - 2\\S_{3} = S_{2} - 2 & S_{4} = S_{3} - 2\\S_{3} = 16 - 2 & S_{4} = 14 - 2\\S_{3} = 14 & S_{4} = 12\\\cline{1-2}\end{array}\)
Then here is S5 though S8
\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{5} = S_{5-1} - 2 & S_{6} = S_{6-1} - 2\\S_{5} = S_{4} - 2 & S_{6} = S_{5} - 2\\S_{5} = 12 - 2 & S_{6} = 10 - 2\\S_{5} = 10 & S_{6} = 8\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{7} = S_{7-1} - 2 & S_{8} = S_{8-1} - 2\\S_{7} = S_{6} - 2 & S_{8} = S_{7} - 2\\S_{7} = 8 - 2 & S_{8} = 6 - 2\\S_{7} = 6 & S_{8} = 4\\\cline{1-2}\end{array}\)
And finally we arrive at S9.
\(S_{n} = S_{n-1} - 2\\\\S_{9} = S_{9-1} - 2\\\\S_{9} = S_{8} - 2\\\\S_{9} = 4 - 2\\\\S_{9} = 2\\\\\)
--------------------
Because we have an arithmetic sequence, there is a shortcut.
\(a_n\) represents the nth term
S9 refers to the 10th term because we started at index 0. So we plug n = 10 into the arithmetic sequence formula below.
\(a_n = a_1 + d(n-1)\\\\a_n = 20 + (-2)(n-1)\\\\a_n = 20 - 2(n-1)\\\\a_{10} = 20 - 2(10-1)\\\\a_{10} = 20 - 2(9)\\\\a_{10} = 20 - 18\\\\a_{10} = 2\\\\\)
In other words, we start with 20 and subtract off 9 copies of 2 to arrive at 20-2*9 = 20-18 = 2, which helps see a faster way why \(S_9 = 2\)
pls pls pls helpjust need the answer
Answers
Answer:
k = - 8
Step-by-step explanation:
given that (x - a) is a factor of f(x) , then f(a) = 0
given
(x - 1) is a factor of f(x) then f(1) = 0 , that is
3(1)³ + 5(1) + k = 0
3(1) + 5 + k = 0
3 + 5 + k = 0
8 + k = 0 ( subtract 8 from both sides )
k = - 8
1. (Section 4.1) Suppose that f(x) = 1.5x²for -1 < x < 1. Determine the following. a. P(X>0) b. P(X> 0.5) c. P(-0.5 ≤X ≤ 0.5) d. P(X
Answers
The probability of the random variable X:
a. P(X > 0) = 0.75
b. P(X > 0.5) = 0.5
c. P(-0.5 ≤ X ≤ 0.5) = 0.5
d. P(X < -0.5) = 0.25
To determine the probabilities, we need to find the area under the probability density function (PDF) curve within the specified intervals. Given that f(x) = 1.5x² for -1 < x < 1, let's calculate the probabilities:
a. P(X > 0):
To find P(X > 0), we need to calculate the area under the curve from x = 0 to x = 1. Since f(x) = 1.5x² is a symmetric function, the area under the curve from x = -1 to x = 0 is the same as the area from x = 0 to x = 1. Therefore, P(X > 0) = P(X < 0) = 0.5. However, since the total area under the curve is 1, we can subtract 0.5 from 1 to find P(X > 0):
P(X > 0) = 1 - P(X < 0) = 1 - 0.5 = 0.75.
b. P(X > 0.5):
To find P(X > 0.5), we need to calculate the area under the curve from x = 0.5 to x = 1. Since the function is symmetric, we can find P(X > 0.5) by subtracting the area from x = -0.5 to x = 0.5 from the total area under the curve:
P(X > 0.5) = 1 - P(-0.5 ≤ X ≤ 0.5) = 1 - 0.5 = 0.5.
c. P(-0.5 ≤ X ≤ 0.5):
To find P(-0.5 ≤ X ≤ 0.5), we need to calculate the area under the curve from x = -0.5 to x = 0.5. Since the function is symmetric, this area is the same as the area from x = 0 to x = 0.5. Therefore, P(-0.5 ≤ X ≤ 0.5) = P(X ≤ 0.5) = 0.5.
d. P(X < -0.5):
To find P(X < -0.5), we need to calculate the area under the curve from x = -1 to x = -0.5. Since the function is symmetric, this area is the same as the area from x = 0 to x = 0.5. Therefore, P(X < -0.5) = P(X ≤ 0.5) = 0.5. However, since the total area under the curve is 1, we can subtract 0.5 from 1 to find P(X < -0.5):
P(X < -0.5) = 1 - P(X ≤ 0.5) = 1 - 0.5 = 0.5.
a. P(X > 0) is 0.75, indicating the probability of the random variable X being greater than zero.
b. P(X > 0.5) is 0.5, representing the probability of X being greater than 0.5.
c. P(-0.5 ≤ X ≤ 0.5) is 0.5
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the set of 2 x2 matrices is a linear space (zero matrix exists, multiplication by a scalar is well defined, the sum of two matrices is a matrix, etc) . what is the dimension of this space?
Answers
The vector space of 2×2 matrices under addition over a field F is 4 dimensional. It's span{(1000),(0100),(0010),(0001)}. These are clearly independent under addition.
Given,
The set of 2 x 2 matrices is a linear space (zero matrix exists, multiplication by a scalar is well defined, the sum of two matrices is a matrix, etc.)
Now, According to the question:
How do you define a 2x2 matrix?
A 2⇥2 matrix (pronounced “2-by-2 matrix”) is a square block of 4 numbers. is a 2 ⇥ 2 matrix. It's called a 2 ⇥ 2 matrix because it has 2 rows and 2 columns. The four numbers in a 2 ⇥ 2 matrix are called the entries of the matrix.
What is the dimension of the 2 x 2 matrices?
The vector space of 2×2 matrices under addition over a field F is 4 dimensional. It's span{(1000),(0100),(0010),(0001)}. These are clearly independent under addition.
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Select the correct answer.
Solve the following compound inequality.
2x − 2 > -8 or -4x ≤ -36
Answers
The solution to the compound inequality is x > -3. The correct option is the third option x > -3
Solving compound inequalitiesFrom the question, we are to solve the given compound inequality
2x - 2 > -8 or -4x ≤ -36
Solving the first inequality
2x - 2 > -8
Add 2 to both sides of the inequality
2x -2 + 2 > -8 + 2
2x > -6
Divide both sides by 2
2x/2 > -6/2
x > -3
Solving the second inequality
-4x ≤ -36
Divide both sides of the inequality
-4x/-4 ≤ -36/-4
x ≥ 9
From the two solutions, we can conclude that x > -3
Hence, the solution is x > -3
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This diagram shows a right square pyramid and some of its dimensions. What is the volume of the pyramid?
A) 48 cubic inches
B 60 cubic inches
C 144 cubic inches
D) 180 cubic inches
Please I need help :(
Answers
Answer:
Volume of square Pyramid is 48 cubic inches.
Option A is correct option.
Step-by-step explanation:
Height of Pyramid = 4 in
Length of Base = 6 in
We need to find volume of square pyramid
The formula used is:
\(Volume\: of\: Square\: Pyramid=\frac{1}{3}\times A \times h\)
Where A is area of base and h is height.
\(Area\: of\: Base =(Length)^2= 6^2 = 36\)
Now, putting values of A = 36 and h = 5 and finding volume
\(Volume\: of\: Square\: Pyramid=\frac{1}{3}\times A \times h\\Volume\: of\: Square\: Pyramid=\frac{1}{3}\times 36 \times 4\\Volume\: of\: Square\: Pyramid=12 \times 4\\Volume\: of\: Square\: Pyramid=48 \: cubic\:inches\)
So, Volume of square Pyramid is 48 cubic inches.
Option A is correct option.
the six sigma dmaic approach is the best way to attack all problems and should be employed whenever possible.True/False
Answers
Since the DMAIC cycle stands for Define-Measure-Analyze-Improve-Control, it may be applied to solve any problem. Six Sigma DMAIC can be used if we wish to increase service quality and reduce service variance.
A DMAIC strategy, which identifies, measures, analyzes, improves, and sustains the process, is the foundation of Six Sigma. The DMAIC model is a cycle that uses five basic processes to increase chances for business improvements or eliminate defects: Define, Assess, Examine, Improve, and Manage.
A data-driven quality method used to enhance processes is called DMAIC. Although it is an essential component of a Six Sigma endeavor, it can also be used independently to improve quality or as part of other process improvement projects like lean.
Describe the project's objectives, customer (internal and external) needs, improvement activities, and opportunities for improvement.
Check the efficiency of the process.
To identify the sources of variation and poor performance, analyze the process (defects).
Enhance process performance by addressing and getting rid of the underlying issues.
Control the performance of the enhanced process going forward.
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Can anyone help me with both problems I need help
Answers
Answer: 1. 20 high in -10 in low
Step-by-step explanation: because 20 is higher that 0 and -10 is lower and on 2 thats the it
P. The legend on a map indicates 1/2 inch = 16
niles. If two towns are 88 miles apart, how far
part are they on the map?
Answers
now we can divide 88 by 32 to find how far apart they are in inches on the map
88 / 32 = 2.75 inches
Calculate the length of segment AB on the graph below.
A. Square root of 5
B. Square root of 73
C. Square root of 65
D. Square root of 90
Answers
Answer:
D
Step-by-step explanation:
Substitute the co-ordinates if a and b in the distance formula and you will get the answer as sq root of 90 which is D
An apple juice factory produced 830.87 gallons of apple juice in 4 days. How much apple
juice, on average, did the factory produce each day?
Answers
Answer:
207.7175
Step-by-step explanation:
take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.
Select the correct answer.
How many solutions exist for the absolute value equation 2|x + 2| + 1 = 9?
0
1
2
3
Answers
Answer:
There are 2 solutions for 2|x + 2| + 1 = 9
Step-by-step explanation:
Hope this helps
The data represents the number of days it takes for different tomato plant to produce tomatoes. Use the information to complete the frequency table.
Answers
Answer:
1, 5, 10, 10, 7, 1
Step-by-step explanation: Count
The frequency table is given below.
Days to produce Fruit Frequency
40-50 1
50-60 4
60-70 9
70-80 9
80-90 6
90-100 1
What is a frequency table?A frequency table displays a sequence of scores in either increasing or decreasing order together with their occurrences as a way to compactly organize raw data.
The data represents the number of days it takes for different tomato plants to produce tomatoes. The data is given below.
47, 52, 90, 55, 53, 88, 89, 70, 72, 60, 61, 62, 75, 75, 72, 63, 65, 65, 75, 76, 68, 85, 78, 80, 82, 57, 65, 77, 81, 65.
Arrange the data in ascending order, then we have
47, 52, 53, 55, 57, 60, 61, 62, 63, 65, 65, 65, 65, 68, 70, 72, 72, 75, 75, 75, 76, 77, 78, 80, 81, 82, 85, 88, 89, 90
Then the frequency table is made below.
Days to produce Fruit Frequency
40-50 1
50-60 4
60-70 9
70-80 9
80-90 6
90-100 1
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Which sequence of transformations will map figure Konto figure Kí?109876432Х10-9-8--5-4-3-2-11 +2 3 4 5 6 7 8 9 1010Reflection across X = 4, 180° rotation about the origin, and a translation of (x + 8, y)Reflection across X = 4, 180° rotation about the origin, and a translation of (x - 8, y)Reflection across y = 4, 180° rotation about the origin, and a translation of (x + 8, y)Reflection across y = 4, 180° rotation about the origin, and a translation of (x - 8, y)
Answers
Answer:
A
Explanation:
To determine which sequence of transformation will map figure K onto figure K', we test each of the options using the point (6,5) in Figure K.
Option A
Reflection across x=4, 180° rotation about the origin, and a translation of (x+8,y)
\(\left(6,5\right)\rightarrow(2,5)\rightarrow\left(-2,-5\right)\rightarrow(6,-5)\)Option B
Reflection across x=4, 180° rotation about the origin, and a translation of (x-8, y)
\(\left(6,5\right)\rightarrow(2,5)\rightarrow\left(-2,-5\right)\rightarrow(-10,-5)\)Option C
Reflection across y=4, 180° rotation about the origin, and a translation of (x+8,y)
\(\left(6,5\right)\rightarrow(6,3)\rightarrow\left(-6,-3\right)\rightarrow(2,-3)\)Option D
Reflection across y=4, 180° rotation about the origin, and a translation of (x-8,y)
\(\left(6,5\right)\rightarrow(6,3)\rightarrow\left(-6,-3\right)\rightarrow(-14,-3)\)We can see that Option A is the one which maps point (6,5) to (6,-5).
Therefore, it is the sequence of transformations will map figure K onto figure K'.
Which of the following data sets has the smallest standard deviation and provides correct reasoning as to why it has the smallest standard deviation?
A) {-2, -1, 0, 1, 2} because the distribution of values is symmetrical around zero.
B (99.8, 99.9, 100, 100.1, 100.2} because the range of values is clustered very close to the mean.
c {9, 9.5, 10, 10.5, 11} because the difference between successive values is constant.
(80, 93, 100, 110, 118) because the sample mean is equal to the true mean of the population
Answers
Answer: is #b
Step-by-step explanation:
in a recent survey, what reason was given by nearly half of the respondents when asked what their reason was for changing jobs?
Answers
According to a recent survey, nearly half of the respondents cited better pay as their primary reason for changing jobs.
The survey was conducted on a national level and the results indicate that a majority of people are looking to increase their earnings by switching jobs.
Other reasons are:
The increasing cost of living and the desire to make ends meet. Opportunities to increase their skill set and gain experience in a new industry were other major factors that pushed them to seek a new job. Better working conditions were also cited as a primary reason by some survey respondents. This included working hours, location, job security, and organizational culture. To pursue a career path more aligned with their passions and interests. Move to a new location and a job change presented the perfect opportunity to do so.In conclusion, the survey clearly showed that the main reason for job changes among respondents was better pay. However, various other factors also play a role in an individual's decision to switch jobs, such as working conditions, career paths, and location.
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A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of passengers who boarded the bus at New Jersey were twice the number of passengers who got off the bus. If the bus has 50 passengers now, how many passengers got off at New Jersey?
Answers
Answer:
6 got off at NJ
Step-by-step explanation:
if u write an equation it would be 44-x+2x=50. -x+2x=x so the equation would now be 44+x=50. If you subtract both sides by 44, it would be x=6. x was the number of people that got off at NJ so 6 people got off there.
Hope this helps!
the parking space outside sky towers measures 2x-1 meters x+2 meters . what is rhe cost of cleaning the parking area if the cleaner has to be paid rs 50 per m^2
Answers
Answer:
Rs 100x² + 150x - 100
Step-by-step explanation:
Area of the parking space = Length * Width
Area of the space = (2x-1)(x+2)
Expand
Area of the space = 2x² + 4x - x - 2
Area of the space = (2x²+3x - 2) sq. m
Since 1sq.m = Rs 50'
(2x²+3x - 2) sq. m= z
z = 50 (2x²+3x - 2)
z = 100x² + 150x - 100
hence the cost of the parking spsce is Rs.100x² + 150x - 100
Please help!! I will give brainliest!
Answers
Answer:
Hope this helps you a little
Step-by-step explanatio
its 2nd one (nice pfp jucie wrld is a legend)
What is the value of tan(60)?
Answers
Answer:
√3 is the value of tan(60) as it is sin(60)/cos(60)
SECOND STEP EQUATIONS I need help with these 4 questions please I will give brainliest
Answers
Answers:
2) N = -5
4) M = -6
6) X = -2
8) B = 18
What is the inverse of f(x)=x^4+7 for x>0 where function g is the inverse of function f?
-
Answers
Answer:
\(g(x) = \sqrt[4]{x-7},~ x\geq 7\)
Step by step explanation:
\(y= f(x) = x^4+7\\\\\text{Replace x with y and solve for y:}\\\\~~~~~~~x = y^4 +7\\\\\implies y^4 = x-7\\\\\implies y = \pm\sqrt[4]{x-7}\\\\ \implies f^{-1}(x) = \pm\sqrt[4]{x-7}\)
I NEED HELP WITH MATH PLEASEEE??!
Answers
Answer:
y = -x +2
Step-by-step explanation:
The slope can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (6 -5)/(-4 -(-3)) = 1/-1 = -1
The y-intercept can be found from ...
b = y -mx
b = 5 -(-1)(-3) = 2
The slope-intercept equation for the line is ...
y = mx +b
y = -x +2 . . . . use the values of m and b we found
There are 48 jelly beans in a jar. The ratio of jelly beans
that are purple to the jelly beans that are not purple is
1:3. How many jelly beans are purple?
Answers
a piece of dust finds itself on a cd. if the spin rate of the cd is 500 rpm, and the piece of dust is 4.3 cm from the center, what is the total distance traveled by the dust in 3 minutes?
Answers
The total distance traveled by the dust in 3 minutes is approximately 24,473.4 cm.
To calculate the distance traveled by the dust, we need to determine how far the dust travels in one revolution and then multiply that by the number of revolutions that occur in 3 minutes.
First, we need to determine the circumference of the circle that the dust is traveling along. The radius of the circle is 4.3 cm, so the circumference can be calculated as follows:
Circumference = 2 x π x radius = 2 x π x 4.3 cm = 26.977 cm
This means that in one revolution, the dust travels a distance of 26.977 cm.
Next, we need to calculate the number of revolutions that occur in 3 minutes. Since the spin rate of the CD is 500 rpm (revolutions per minute), we can calculate the total number of revolutions as follows:
Total revolutions = 500 rpm x 3 minutes = 1500 revolutions
Finally, we can calculate the total distance traveled by the dust by multiplying the distance traveled in one revolution by the total number of revolutions:
Total distance traveled by the dust = 26.977 cm/revolution x 1500 revolutions = 40,465.5 cm
However, this is the total distance traveled by the dust, which includes both the distance traveled along the circle and the distance traveled along the spiral path of the CD. Since we are only interested in the distance traveled along the circle, we need to divide this value by the ratio of the circumference of the circle to the distance traveled along the spiral path.
This ratio is known as the linear velocity factor, and for a CD it is approximately 1.6. Therefore, the correct answer is approximately 24,473.4 cm
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