Iterations are required to sort the array 10 23 14 35 17 15 16 using selection sort = 5
The selection sort algorithm sorts an array by repeatedly finding the minimum element (considering ascending order) from the unsorted part and putting it at the beginning.
The algorithm maintains two subarrays in a given array.
The subarray which already sorted.
The remaining subarray was unsorted.
In every iteration of the selection sort, the minimum element (considering ascending order) from the unsorted subarray is picked and moved to the beginning of unsorted subarray.
After every iteration sorted subarray size increase by one and unsorted subarray size decrease by one.
After N (size of array) iteration we will get sorted array.
Lets consider the following array as an example: array[] ={10 23 14 35 17 15 16}
{64, 25, 12, 22, 11}
First pass:
For the first position in the sorted array, the whole array is traversed from index 0 to 6 sequentially. The first position where 10 is stored presently, after traversing whole array it is clear that 10 is the lowest value.
10 23 14 35 17 15 16
Thus, replace10 with 10. After one iteration 10, which happens to be the least value in the array, tends to appear in the first position of the sorted list.
10 23 14 35 17 15 16
Second Pass:
For the second position, where 23 is present, again traverse the rest of the array in a sequential manner.
10 23 14 35 17 15 16
After traversing, we found that 14 is the second lowest value in the array and it should appear at the second place in the array, thus swap these values.
10 14 23 35 17 15 16
Third Pass:
Now, for third place, where 23 is present again traverse the rest of the array and find the third least value present in the array.
10 14 23 35 17 15 16
While traversing, 15 came out to be the third least value and it should appear at the third place in the array, thus swap 15 with element present at third position.
10 14 15 35 17 23 16
Fourth pass:
Now, for fourth place, where 35 is present again traverse the rest of the array and find the fourth least value present in the array.
10 14 15 35 17 23 16
While traversing, 16 came out to be the fourth least value and it should appear at the fourth place in the array, thus swap 16 with element present at fourth position.
10 14 15 16 17 23 35
Fifth Pass:
At last the largest value present in the array automatically get placed at the last position in the array
The resulted array is the sorted array.
10 14 15 16 17 23 35
To know more about selection sort visit brainly.com/question/13161882
#SPJ4
Carrie is making a colorful beaded necklace. She has 3 times as many green beads as red beads, and twice as many blue beads as green beads. If she has 150 beads all together, how many of the beads are blue? O 30O 45O 90O 75
The number of blue beads is; 90
If Carrie has 150 beads all together, and 3 times as many green beads as red beads, and twice as many blue beads as green beads. Then we can set up the following equation:
x + (3x) + (2(3x)) = 150
where x is the number of red beads.
Solving for x, we get:
x + 3x + 6x = 150
10x = 150
x = 15
So there are 15 red beads, 45 green beads (3 * 15), and 90 blue beads (2 * 45).
Therefore, the answer is 90 blue beads.
Learn more about equations here:
brainly.com/question/29657992
#SPJ4
The length of a rectangle is twice it’s width if the area of the rectangle is 128 cm^2 find it’s perimeter
Step-by-step explanation:
the area of a rectangle is
length × width
the perimeter of a rectangle is
2×length + 2×width
we know the area of this rectangle :
128 = length × width
and we know that the length is twice the width :
128 = 2×width × width = 2×width²
64 = width²
width = 8 cm
therefore, length = 2×8 = 16 cm
the perimeter is then
2×16 + 2×8 = 32 + 16 = 48 cm
What percentage of the shape is pink?
Write your answer using a percent sign (%).
Answer:
13%
Step-by-step explanation:
Since this is a ten by ten square there are 100 small squares located in the whole shape. There are 13 pink squares and 13/100 can be written as 13%. Anything over 100 can be put as a percentage.
The post office is 3 miles west of your home. Your school is 2 miles north of the post office. How far is your home from your school? Round your answer to the nearest tenth.
The post office is 3 miles west of your home. Your school is 2 miles north of the post office therefore the distance of the home from your school is 3.6mile.
What is Distance?This is referred to as the length of the space between two points and is usually measured in miles or meter.
We were given sides 3 miles west and 2 miles north and the distance will be the hypotenuse of the formed triangle.
c² = a² + b²
c² = 3² + 2²
c² = 9 + 4 = 13
c = √13 = 3.6miles.
Read more about Triangle here https://brainly.com/question/17335144
#SPJ1
can i get estimates too
with my answer
Answer: Yes, you may
Step-by-step explanation: You can get estimates with answers, unless if not noted or specifies if it's a dead-exact answer. Estimates are a great strategy for finding the right path for a correct answer.
Connie can file 100 papers an hour, while Eric can file 80 papers an hour. Working together, how long will it take them to file 900 papers
Answer:
5 hours
Step-by-step explanation:
100t + 80t = 900
First, you can add 100t to 80t because they are both like terms.
100t + 80t = 900
180t = 900
Now you multiply,
when t = 2,
180*2 = 360
when t = 4,
180*4 = 720
When t = 5,
180*5 = 900
So, it will take them 5 hours to make 900 papers
How do you construct a line segment that is 1/3 the length of the given line segment?
To steps to construct a line segment that is 1/3 the length of the given segment is:
Draw a line segment CD of any length.Fix the compass's end on C and pencil on D. This gives the length of CD.Now divide the length of CD by 3. That is the 1/3 the length of CD.Draw a line 1. Mark a point A on line 1. Change compass's setting into 1/3 the length of CD, place the compass at A.Make an arc on the line l which cuts l at B. Now, AB is a copy of CD which is 1/3 the length of CD.What is line segment?A line segment is bounded by two definite points on a line. We also can say a line segment is part of the line which connects two points. A line has no endpoints and extends immensely in both the direction but a line segment has two fixed or distinct endpoints.
Learn more about line segment at: https://brainly.com/question/30072605
#SPJ4
What are scatter plots used for ?
We can use Scatter plots to plot data points on a horizontal and a vertical axis to show how much one variable affects another.
Scatter plots are primarily used to observe the relationship between two numeric variables. The values of individual data points and patterns of the represented data are reported by the dots in a scatter plot. In the case of a given particular horizontal value, we can make a good prediction for the vertical value.
For identifying other patterns in data a Scatter plot can also be used. Data points can be divided into groups based on how closely sets of points cluster together.
Read more about Scatter plots:
https://brainly.com/question/29785223
#SPJ4
The Miller family likes to paddle along the North River.
1. They paddled the same distance each day throughout the course of 3 days, traveling a total of 14 miles.
How many miles did they travel each day?
2. If the Millers went half their daily distance each day, but extended their trip to twice as many days, how
far would they travel?
1) The number of miles that they travelled each day is; 4²/₃ miles
2) The total distance that they will travel here is; 42 miles
How to find the average mean?1) We are told that the Miller family paddles the same distance each day throughout the course of 3 days, traveling a total of 14 miles.
Thus;
Total number of miles = 14 miles
Total number of days = 3 days
Thus number of miles that they travelled each day = 14/3 = 4²/₃ miles
2) Now, we are told that they want to go half their daily distance each day. Thus;
Number of miles per day = 14/2 = 7 miles
Total number of days = 2 * 3 = 6 days
Thus, the total distance that they will travel = 7 * 6 = 42 miles
Read more about Average Mean at; https://brainly.com/question/20118982
#SPJ1
Compute P9,2. (Enter an exact number.) Compute C7,5. (Enter an exact number.)
The Exact number of [tex]$$P_{9,2}$$[/tex] is [tex]72[/tex]
The Exact number of [tex]$$C_{7,5} $$[/tex] is [tex]21[/tex]
An exact number is a value that is known with complete certainty. In other words, an exact number has zero uncertainty and an infinite number of significant figures. An exact number cannot be simplified or reduced.
Examples of exact numbers included counted numbers, defined units, and defined unit conversions. Many exact numbers are integers, but some are decimals. Here are specific examples.
Number of protons in a carbon atom (6)Minutes in one hour (60)Avogadro’s number (6.02214076 × 1023)ZeroThe number of centimeters in one inch (exactly 2.54)Number of pages in a bookHere we have to compute [tex]$P_{9,2}$[/tex] means
[tex]P_{1,5} & =\frac{7 !}{(7-5) !}[/tex]
[tex]P_{9,2} & =\frac{9 !}{(9-2) !}[/tex]
[tex]=\frac{9 !}{7 !}=\frac{9 \times 8 \times 7 !}{7 !}[/tex]
[tex]P_{9,2} & =7 \times 8=72[/tex]
Hence [tex]$P_{9,2}$[/tex] [tex]=72[/tex]
Here we have to compute [tex]$C_{7,5}$[/tex] means
Combination [tex]$(7,5)$[/tex]
[tex]$$\begin{aligned}& \left(\begin{array}{l}7 \\5\end{array}\right)=\frac{7 !}{(7-5) ! 5 !}=\frac{7 * 6 * 5 !}{2 ! * 5 !} \\& =\frac{7 * 6}{2 * 1}=21\end{aligned}$$[/tex]
Hence
[tex]$$C_{7,5}=21$$[/tex]
Therefore, the Exact number of P9,2. is 72 and C7,5. is 21.
For more such questions on Exact numbers:
https://brainly.com/question/28294859
#SPJ4
At Kinsley's Beading Boutique, 12 out of the 30 beads on clearance are plastic. What percentage of beads on clearance are plastic?
The percentage of the beads on clearance that are plastic, given the number of beads at Kinsley's Beading Boutique, is 40 %
How to find the percentage ?To find the percentage, you need to use the proportion of the beads which are plastic, as a portion of the total, and then multiply this figure by 100 %.
In other words, the percentage of the beads on clearance which are plastic can be found by the formula :
= Number of plastic beads / Total beads on clearance x 100 %
Number of plastic beads = 12 beads
Total beads on clearance = 30 beads
The percentage of plastic beads is:
= 12 / 30 x 100%
= 40 %
Find out more on percentage at https://brainly.com/question/16007471
#SPJ1
Consider f(x) = 3^x. Describe how the graph of each function compares to f.
1. g(x)=3^x+4 2. h(x)=(1/4)^x-5 3.j(x)=3^x+6 -2
Considering f(x) = 3^x. the graph of each function compares to f as follows
1. g(x) = 3^(x + 4) : translation 4 units to the left
2. h(x) = (1/4)^(x - 5) : vertical stretch by a factor of 12 and translation 5 units to the right.
3. j(x) = 3^(x + 6) - 2 : translation 6 units to the left and 2 units down
How to find the transformation of each functionsTranslation say x units to the left is represented by positive x units while to the right is represented by negative x values. the left and right translation is restricted to the x values.
Translation say x units up is represented by positive x units while to the down is represented by negative x values. the top and down translation is restricted to the y values or the function itself.
Using the problem, comparing f(x) = 3^x and g(x) = 3^(x + 4) the difference is +4 hence it results to moving 4 units to the left
Comparing f(x) = 3^x and h(x) = (1/4)^(x - 5)
A factor of 12 is used to to make 1/4 equal to 3 since 1/4 * 12 = 3. this is called a vertical stretch
then (x - 5) is translation of 5 units to the right
Comparing f(x) = 3^x and j(x) = 3^(x + 6) - 2
(x + 6) is a translation 6 units to the left while the -2 represents a translation 2 units down since it is negative 2.
Learn more on translation:
https://brainly.com/question/29321966
#SPJ1
Solve the following equation for x. 2e^2x - 2e^x - 24 = 0
Answer:
x = ln(4) ≈ 1.3862944
Step-by-step explanation:
You apparently want the solution to the equation 2e^(2x) -2e^x -24 = 0.
SolutionThis is effectively a quadratic in e^x. Dividing by 2, we get ...
(e^x)^2 -(e^x) -12 = 0
Factoring gives ...
((e^x) -4)((e^x) +3) = 0
Solutions will be the values of x that make the factors zero.
e^x -4 = 0 ⇒ e^x = 4 ⇒ x = ln(4)
e^x +3 = 0 ⇒ e^x = -3 ⇒ x = ln(-3) . . . . not defined for real numbers
The only real solution is x = ln(4) ≈ 1.3862944.
__
Additional comment
In the complex numbers, the other solution is x = ln(-3) = ln(3) +πi.
What is the following sum?
2(√/16x³y)+4[2√/54x6y5)
0 4x(2/2y) + 12x²y[2√/2y²)
8x(3√x+12x³y² (3/6y)
16x³y (2√/2y²)
O 48x³y (2/2y)
O
The sum of the given expressions is:
2(√/16x³y)+4[2√/54x6y5)
0 + 4x(2/2y) + 12x²y[2√/2y²)
8x(3√x+12x³y² (3/6y)
16x³y (2√/2y²)
48x³y (2/2y)
This simplifies to:
2(√/4x³y) + 4(√/9x²y) + 4x(1/y) + 12x²y(√/y) + 8x(3√x/3y) + 16x³y(1/y) + 48x³y(1/y)
Which further simplifies to:
(4/x²y) √ + (8/3xy) √ + (4/y) x + (12/y) x²y + (8/3y) x √ + (16/y) x³y + (48/y) x³y
This is the final simplified form of the sum.
What is 3x0.2
Helppp pliss
0.6
Step-by-step explanation:
Make x the subject:
Q15) [tex]\frac{\sqrt[2]{x+5} }{4} = y[text] (x plus 15 to the square root over 4 equals y)
Taking the square of both sides to change the subject of formula, the value of x is 16y² - 5
What is Change of Subject of FormulaBy transferring all other terms to the other side of an equation, changing the subject of a formula is a technique for manipulating algebra that is used to isolate a variable on one side of an equation. It is also referred to as "rearranging" or "transposing" a formula.
In order to simplify expressions, solve word problems, or solve equations, it can be helpful to change the subject of a formula.
It's crucial to keep in mind that altering a formula's subject can also alter the function's domain, which could be limited to a particular range of values.
In short, changing a formula's subject allows you to isolate a variable that is on one side of an equation by transferring all other terms to the opposite side of the equation. It's sometimes referred to as "rearranging" or "transposing" a formula. It's a helpful method for resolving equations.
In the given question;
y = √(x + 5) / 4
Square both side;
y² = x + 5 / 16
16y² = x + 5
x = 16y² - 5
Learn more on change of subject of formula here;
https://brainly.com/question/657646
#SPJ1
what is the coefficient of x^8y^9 in the expansion of (3x+2y)^17
The coefficient of x^8y^9 in the expansion of (3x+2y)^17 is 34459425.
What is coefficient ?
A coefficient is a number or a letter that is used to multiply a variable or a set of variables in an algebraic expression or equation. It is a measure of the strength of the variable with respect to other variables in the equation. Coefficients are often used to represent different physical properties or constants in mathematical models and equations.
To find ,
(a + b)^n = C(n,0)a^n*b^0 + C(n,1)a^(n-1)b^1 + C(n,2)a^(n-2)b^2 + ... + C(n,n-1)a^1b^(n-1) + C(n,n)a^0b^n
Where C(n,k) = n! / (k!(n-k)!) is the binomial coefficient.
In this case, the coefficient of x^8y^9 in the expansion of (3x+2y)^17 is C(17,8) = (1716151413121110)/(87654321) = 34459425.
So the coefficient of x^8y^9 in the expansion of (3x+2y)^17 is 34459425.
To learn more about coefficient visit : brainly.com/question/28975079
#SPJ4
Given that 1 inch = 2.54 cm, how many centimeters are there in 8 feet? Answers may be written using the decimal form and should be rounded to the nearest hundredth when necessary.
Answer:
243.84 cm
Step-by-step explanation:
(8 ft)(12 in/ft) = 96 in
(96 in)(2.54 cm/in) = 243.84 cm
Select the correct answer.
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
A. R = {-7, -1, 9, 17}
B. R = {-17, -9, -1, 17}
C. R = {1, 7, 9, 17}
D. R = {-7, 1, 9, 17}
The range of the function f(x) = 4x + 9 is R = {-7, 1, 9, 17}. Option D is the correct option.
What is a function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Given function is f(x) = 4x + 9.
The domain of the function is D = {-4, -2, 0, 2}.
To find the rage of the function putting x = -4, -2, 0, 2 in the given function:
When x = -4
f(-4) = 4(-4) + 9
f(-4) = -16 + 9
f(-4) = -7
When x = 0
f(0) = 4(-0) + 9
f(0) = 0+ 9
f(0) =9
When x = 2
f(2) = 4(2) + 9
f(2) = 8 + 9
f(2) = 17
The set of the value of f(x) at x = -4, -2, 0, 2 is the range of the function.
The range of the function is R = {f(-4), f(-2), f(0), f(2)} = {-7, 1, 9, 17}
To learn more about the range, click on the below link:
https://brainly.com/question/29114206
#SPJ1
a) Find the best point estimate of the population proportion p.
0.031 (Round to three decimal places as needed.)
The best point estimate of the population proportion p is 0.031.
It is given in the question. It is the sample proportion of the population, which is computed by dividing the number of successes by the sample size.
It is also known f as sample proportion and it is used as an estimate of population proportion.
It can also be written as (x/n) where x is the number of success and n is the sample size of the given sample.
It is a point estimate because it gives a single value as an estimate for the population proportion.
To know more about population proportion click below:
https://brainly.com/question/15087042#
#SPJ4
The slope of the line below is 5. Which of the following is the point-slope form of the line?
The point-slope form of the line is y -3 = 5(x + 1).
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
The slope of the line shown in the graph is 5.
And line passes through point (-1, 3).
So,
If a line passes through a point (x₁ ,y₁) and have a slope m,
then the equation of line is,
y - y₁ = m(x - x₁)
So,
y -3 = 5(x + 1)
Therefore, the equation of the line is y -3 = 5(x + 1).
To learn more about the slope;
brainly.com/question/3605446
#SPJ1
What is the area of a sector when theta=pi/2 radians and r=8/3
O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
A disparity is presented to us.
[tex]y+4\leq 0[/tex]
The answer to the inequality must be discovered.
For each side of the inequality, deduct 4
y +4 - 4 ≤ 0 - 4
y ≤ -4
y ∈ ( - ∞ , - 4 ]
As a result, the solution set for the given inequality is provided by y (- , - 4].
O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.
To know more about inequality visit:
https://brainly.com/question/29914203
#SPJ1
tim runs 4 laps around a track in 5 minutes how many laps per minute did he run
The laps per minute that Tim run when he runs 4 laps around a track in 5 minutes is 0.8 laps.
How to calculate the word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this case, Tim runs 4 laps around a track in 5 minutes The laps per minute that he run will be:
= 4 / 5
= 0.8
Learn more about word problem on
brainly.com/question/21405634
#SPJ1
Help pleasee, I am stuck on this question and need it done by tonight
There are four different kinds of transformations: translation, reflection, rotation, and dilation.
Transformations: What Are They?Translation, reflection, rotation, and dilation are examples of the changes that are made to a function by transformations. To create the image, the pre-image, the original image, is modified.There are four different kinds of transformations: translation, reflection, rotation, and dilation. The shape is moved in one direction by translation, in the opposite direction by reflection, 180 degrees by rotation, and a constant amount by dilatation when it is stretched or contracted.There are four different kinds of transformations: translation, reflection, rotation, and dilation.The complete question is,
Which of the 4 transformation types are they?
To learn more about transformations refer to:
https://brainly.com/question/4289712
#SPJ1
a blind taste test will be conducted with 9 volunteers to determine weather people can taste a difference between bottled water and tap water
The probability that at least 8 out of 9 participants will correctly identify the tap water is 0.0195.
How to illustrate the probability?From the information, a blind taste test will be conducted with 9 volunteers to determine whether people can taste the difference between bottled water and tap water
Let x be the number of people that correctly identify tap water.
The probability that at least 8 out of 9 participants will correctly identify the tap water will be:
P(x ≥ 8) = P(x = 8) + P(x = 9)
= ⁹C₈ × 0.5⁸ × 0.5^(9-8) + 9C9 × 0.5⁹ × 0.5^(9 - 9)
= 0.0195
Learn more about probability on
brainly.com/question/24756209
#SPJ1
A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water and tap water. Each participant will taste the water from two different glasses and then identify which glass he or she thinks contains the tap water. Assuming that people cannot taste a difference between bottled water and tap water, what is the probability that at least 8 of the 9 participants will correctly identify the tap water?
The coordinate grid below shows the distance a delivery truck is from a warehouse, after driving different numbers of hours.
TRUCK DELIVERY
Distance Driven (miles)
600
400
200
01 2 3 4 5 6 7 8
Time Spent Driving (hours)
Write an equation that corresponds to the line in the graph. Explain your equation.
The linear function corresponding to the line in the graph will be y = 200x - 120000.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given data,
A linear function is given as,
y = mx + c
Here m is the slope and c is the y-intercept.
The slope m will be as follows,
Slope m = (600 - 400)/(1 - 0)
m = 200
Put m = 200 and (600,0)
0 = 200(600) + c
c = -120000
Thus, the linear equation will be as,
y = 200x - 120000
Hence "y = 200x - 120000 is the linear function that corresponds to the line in the graph.".
For more about the linear function,
brainly.com/question/21107621
#SPJ1
of
Find the domain and range. Then use the drop down
menu to select the correct symbols to indicate your
answer in interval notation.
If a number is not an integer then round it to the
nearest hundredth. To indicate positive infinifty (0)
type the three letters inf. To indicate negative infinity(-
∞) type -inf with no spaces between characters.
5+
44
The domain is: [ #
The range is: [ #
(
The domain of the points (3, 2) and (-5, 2) are all real numbers.
The Range of the points (3, 2) and (-5, 2) is only the value of y = 2.
What is the domain and range of the function?
The domain of a function is the set of all input values (independent variable) for which the function is defined and produces a valid output (dependent variable). The range of a function is the set of all possible output values (dependent variable) that the function can produce for all valid input values (independent variable).
The domain and range of a set of points in a coordinate plane refer to the set of all possible x-values and y-values, respectively.
The domain of the points (3, 2) and (-5, 2) are all real numbers. So, the domain can be represented as (-inf, inf)
The range of the points (3, 2) and (-5, 2) is only the value of y = 2. So, the range can be represented as {2}
To learn more about the domain and range, Visit
https://brainly.com/question/2264373
#SPJ1
How do you find 1/4 of a segment?
To find 1/4 of a segment, you would divide the length of the segment by 4. A segment is a part of a line, so it is a length of one dimension. When dividing by 4, the result will be a new length that is one-quarter of the original length.
To find 1/4 of a segment, first determine the length of the segment. This can be done by measuring the segment with a ruler or using the Pythagorean theorem to find the length of the segment if it is part of a triangle. Once the length of the segment is determined, divide that figure by 4. The resulting answer will be the length of 1/4 of the segment.
For example, if the length of a segment is 8 cm, dividing 8 by 4 will result in 2 cm, which is the length of 1/4 of that segment. It is easy to find 1/4 of a segment by dividing the length of the segment by 4. This will give you the length of 1/4 of the segment. Knowing the length of 1/4 of a segment can be useful when measuring and calculating distances between two points or for finding the area and perimeter of certain shapes.
To know more about segment refer to the link brainly.com/question/12728072
#SPJ4
Viscous heating in laminar tube flow (asymptotic solutions). (a) Show that for fully developed laminar Newtonian flow in a circular tube of radius R, the energy equation becomes pè pouma [-- (R)]2+7() -Na (3) (113.2-1) if the viscous dissipation terms are not neglected. Here v may is the maximum velocity in the tube. What restrictions have to be placed on any solutions of Eq. 113.2-12 (b) For the isothermal wall problem (T = T, at r = R for 2 >0 and at z = 0 for all r), find the as- ymptotic expression for T() at large z. Do this by recognizing that at /az will be zero at large z. Solve Eq. 113.2-1 and obtain HUB T-T, = [1-() (113.2-2) 4K (c) For the adiabatic wall problem (q, = 0 at r = R for all z > 0) an asymptotic expression for large z may be found as follows: Multiply Eq. 113.2-1 by rdr and then integrate from r = 0 to r = R. Then integrate the resulting equation over z to get T. - To = (4uV, max/pCR) (113.2-3) in which T, is the inlet temperature at z = 0. Postulate now that an asymptotic temperature profile at large z is of the form T-T, = (44v,max/pĈ,RO)2 + for) (113.2-4) Substitute this into Eq. 113.2-1 and integrate the resulting equation for fr) to obtain 4 доллах T-T; 2 + pĈ R² (113.2-5) after determining the integration constant by an energy balance over the tube from 0 to z. Keep in mind that Eqs. 113.2-2 and 5 are valid solutions only for large z. The complete solu- tions for small z are discussed in Problem 110.2.
This asking for solutions to the energy equation for fully developed laminar Newtonian flow in a circular tube of radius R.
(a) The energy equation (Eq. 113.2-1) is given with the viscous dissipation terms not neglected.
(b) For the isothermal wall problem (T = T, at r = R for 2 >0 and at z = 0 for all r), the asymptotic expression for T(r) at large z is T-T, = [1-() (113.2-2) 4K
(c) For the adiabatic wall problem (q, = 0 at r = R for all z > 0), an asymptotic expression for large z is given by T-T, = (44v,max/pĈ,RO)2 + for) (113.2-4) and then integrate the resulting equation for fr) to obtain 4 доллах T-T; 2 + pĈ R² (113.2-5) after determining the integration constant by an energy balance over the tube from 0 to z. These solutions are only valid for large z and the complete solutions for small z are not provided in the question.
The expression of temperatureThis expression of temperature for a fluid flowing through a circular tube, considering two different conditions of the walls (isothermal and adiabatic) and for large values of distance. The solutions are only asymptotic and only for large values of distance.
Learn more about expression of temperature here:
https://brainly.com/question/23419049
#SPJ4
please help i will give brainliest to the best answer that makes sense
Answer:
see attached
Step-by-step explanation:
You want a graph of the equation y = -5x +2.
InterceptThe y-intercept is the point where the line crosses the y-axis. It is the value of y when x=0. In the equation, the y-intercept is the constant: +2.
SlopeThe slope of the line is the coefficient of x. It is the ratio of "rise" to "run." The equation tells you the slope is -5. This means the line drops 5 units for each unit to the right.
Another point on the line will be (0, 2) +(1, -5) = (1, -3).
The line can be drawn through these points: (0, 2) and (1, -3).
<95141404393>
