For the flow of a fluid along a flat plate, one would expect the thermal boundary layer to grow slower than the hydrodynamic boundary layer when the Prandtl number is greater than unity (option c).
The Prandtl number is the ratio of momentum diffusivity to thermal diffusivity, and it indicates the relative thickness of the hydrodynamic and thermal boundary layers. If the Prandtl number is greater than unity, it means that the momentum diffusivity is greater than the thermal diffusivity, causing the thermal boundary layer to grow slower compared to the hydrodynamic boundary layer.
The values of the Prandtl numbers can be used to describe the thickness of thermal and velocity boundary layers. For instance, the molecular diffusivity of heat is greater than the molecular diffusivity of momentum for liquid metals (low Prandtl number values), resulting in a thicker thermal boundary layer than a velocity boundary layer.
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If you have 47.2 in a class and you get a 60 point assignment and pass with 100%,
what would you grade be in the class now?
By calculation, your grade in the class now is 78.7
How to determine what your grade would be in the class now?From the question, we have the following parameters that can be used in our computation:
Score of 47.2 in 60
Represent the score in 100% with x
So, we have the following equation
47.2/60 = x/100
Multiply both sides of the equation by 100
So, we have
100 * 47.2/60 = x/100 * 100
This gives
100 * 47.2/60 = x
So, we have
x = 100 * 47.2/60
Evaluate
x = 78.7
Hence, your grade in the class now is 78.7
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i need help this is something from khan academy
======================================================
Explanation:
This is a piecewise function. As the name implies, the g(x) is broken up into 3 pieces. Each piece depends on what the input x is.
If x is between \(-\infty\) and \(-7\), excluding both endpoints, then we pick the first piece. So in this case, \(g(x) = x^2-5\)
Or if \(-7 \le x \le 2\), then we go for the second piece and \(g(x) = 9x-17\)
Lastly, if x is between \(2\) and \(\infty\), then we go for the last piece and say \(g(x) = (x+1)(x-5)\)
------------------
To paraphrase that last section, we have g(x) defined as having a split personality or multiple identities depending on what x is.
If x is between negative infinity and -7 (exclusive), then g(x) = x^2-5If x is between -7 and 2, then g(x) = 9x-17If x is between 2 and infinity, then g(x) = (x+1)(x-5)------------------
The question is: which piece do we pick?
Well, g(7) means that x = 7 for g(x). We'll pick the third piece because 7 is between 2 and infinity. In other words, x = 7 makes \(x > 2\) a true inequality.
So,
\(g(x) = (x+1)(x-5) \ \text{ when } x > 2\\\\g(7) = (7+1)(7-5) \ \text{ replace every x with 7}\\\\g(7) = (8)(2)\\\\g(7) = 16\\\\\)
an exam has 12 problems. how many ways can (integer) points be assigned to the problems if the total of the poitns is 100 and each problem is worth at least five points
The number of ways integer points can be assigned to the 12 problems, given that the total points is 100 and each problem is worth at least five points, can be calculated using a combinatorial approach.
To determine the number of ways, we can use the concept of stars and bars, which is a combinatorial technique used to distribute indistinguishable objects into distinguishable groups. In this case, the stars represent the total points (100) and the bars represent the dividers between the problems.
Since each problem is worth at least five points, we can consider a minimum of five points already assigned to each problem. This means we need to distribute the remaining points (100 - 12*5 = 40 points) among the 12 problems.
Using the stars and bars approach, we have 40 stars (representing the remaining points) and 11 bars (representing the dividers between the 12 problems). The number of ways to arrange these stars and bars is equivalent to the number of ways to assign points to the problems.
The answer, therefore, can be calculated using the formula for combinations with repetition: C(n + k - 1, k - 1), where n is the number of stars (40) and k is the number of bars (11).
Hence, the number of ways to assign integer points to the problems is C(40 + 11 - 1, 11 - 1) = C(50, 10).
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Ravi is on the swim team. Each week he swims a total of 9,000 meters. How many kilometers does he swim each week? Be sure to include the correct unit in your answer.
Solve 3x - 7 = 32
Plssss helpp
Answer:
x=13
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Brainly plss
Answer:
x=13
Step-by-step explanation:
The composite figure is made up of a parallelogram and a rectangle. Find the
area.
A. 334 sq. Units
B. 282 sq. Units
C. 208 sq. Units
D. 616 sq. Units
Answer:
308sq.units
Step-by-step explanation:
Area of parallelogram =base*height
14*(26-4)
=308sq.unit
1/11 as a decimal
59/9 as a reduced mixed number
Answer:
1. .09 repeating 2. 6 5/9
Step-by-step explanation:
to turn a fraction into a decimal you divide the top number of a fraction by the bottom one. To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator
Can someone please help me how to do this and confuse and I don't get it
Based on the information given in the exercise, the segment JK, the segment KL and the segment LM are congruent, which means that they have equal length:
\(JK\cong KL\cong LM\)You can identify that:
\(\begin{gathered} JK=5x-28 \\ LM=2x+14 \end{gathered}\)Knowing that, you can set up the following equation:
\(5x-28=2x+14\)Now you must solve for "x":
\(\begin{gathered} 5x-28=2x+14 \\ 5x-2x=14+28 \\ 3x=42 \\ x=14 \end{gathered}\)You can substitute the value of "x" into the expression that represents the length of the segment JK or you can also substitute it into the expression that represents the length of the segment LM. You get:
\(\begin{gathered} LM=2(14)+14 \\ LM=28+14 \\ LM=42 \end{gathered}\)Since:
\(JK\cong KL\cong LM\)You can determine that:
\(KL=42\)The answer is: Option A.
The cost of a stereo cable was $14 yesterday. Today, the cost rose to $16. Find the percentage increase. Round your answer to the nearest tenth of a percent.
The percentage increase of the stereo cable is 14.2%
How to calculate the percentage increase of the stereo cable ?
The cost of the stereo cable yesterday is $14
The cost rose to $16
The first step is to calculate the increase
16-14
= 2
The percentage increase can be calculated as follows
increase/original price × 100
= 2/14 × 100
= 0.142 × 100
= 14.2
Hence the percentage increase is 14.2%
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find all points having an x-coordinate of calculator
To find all points with a specific x-coordinate, you need to have the equation of the curve or the data points representing the graph. If you have an equation, you can substitute the desired x-coordinate into the equation and solve for the corresponding y-coordinate.
If you have data points, you can look for the points that have the specified x-coordinate.
For example, let's say you have the equation of a line: y = 2x + 3. If you want to find all points with an x-coordinate of 5, you can substitute x = 5 into the equation to find y. In this case, y = 2(5) + 3 = 13. So the point (5, 13) has an x-coordinate of 5.
to find points with a specific x-coordinate, you need the equation of the curve or the data points. You can substitute the desired x-coordinate into the equation or look for the points that have the specified x-coordinate in the given data.
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Consider a hash table of size 11 with hash function h(x) = 2x
mod 11. Draw the table that results after inserting, in the given
order, the following values: 65, 75, 68, 26, 59, 31, 41, 73, 114
for eac
The hash table with a size of 11 and the hash function h(x) = 2x mod 11 will be filled with values 65, 75, 68, 26, 59, 31, 41, 73, and 114 in the given order.
After inserting the values, the resulting hash table will have the following elements at each index: Index 0: 114, Index 1: -, Index 2: 65, Index 3: 26, Index 4: 68, Index 5: 75, Index 6: 31, Index 7: 59, Index 8: -, Index 9: 41, and Index 10: 73.
To determine the position of each value in the hash table, we apply the hash function h(x) = 2x mod 11.
For the first value, 65, applying the hash function gives us h(65) = 2 * 65 mod 11 = 9. So we insert 65 at index 9.
Similarly, for the remaining values, we calculate their corresponding positions in the hash table:
- 75: h(75) = 2 * 75 mod 11 = 8 (inserted at index 8)
- 68: h(68) = 2 * 68 mod 11 = 1 (inserted at index 1)
- 26: h(26) = 2 * 26 mod 11 = 3 (inserted at index 3)
- 59: h(59) = 2 * 59 mod 11 = 7 (inserted at index 7)
- 31: h(31) = 2 * 31 mod 11 = 9 (collision with index 9, so we handle collision by chaining or other methods)
- 41: h(41) = 2 * 41 mod 11 = 9 (collision with index 9, so we chain it after 31)
- 73: h(73) = 2 * 73 mod 11 = 10 (inserted at index 10)
- 114: h(114) = 2 * 114 mod 11 = 0 (inserted at index 0)
After inserting all the values, the resulting hash table will have the elements as mentioned . In cases of collision, like the values 31 and 41 both hashing to index 9, we can handle them by chaining the values at the same index.
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______ is terminology that is specific to a particular profession or group. For example, statisticians talk about t-tests, chi-square tests, confidence intervals, and normal distributions.
Answer:
parlanceStep-by-step explanation:
The world parlance represents jargon/terms used by a particular profession or by a group of related experts in a field.
In french parler, means "to speak, hence the word parlance has it root from the french word parler.
it is a noun and it often called a slang or a jargon.
for example in law, lawyers use world/terms like, plaintiff, witness, suspect, jury, etc
The terminology that is specific to a particular profession or group is called; Jargons
We are given examples such as;
T-tests, chi-square tests, confidence intervals being used exclusively by statisticians.
Now, these terms used exclusively by statisticians have a general term they are called which is Jargons.
In conclusion, Jargons is the general name for words or expressions that are used exclusively by a group that are not easy for others to understand.
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GUYS CAN SOMEONE PLEASE HELP ...STOP WITH THE LINKS ITS SO F ING ANNOYING TY...
TYSM TO WHOEVER HELPED..
Answer:
Ans: -7
Step-by-step explanation:
Question 5,
First multiplying with, (-3/4) ÷ (6) × (1 5/9) (mixed number)
=(-3/4) ×(1/6) × (14/9)
=(1/8) × (14/8)
=(-7/36)
So, (a/b) = (-7/36)
Therefore, a = -7
Answer:
Both questions option d is right
Day and Night Kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark Time Hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation?
Answer:
See below.
Step-by-step explanation:
Let x represent the number of days.
Since Day and Night Kennel charges a fee of $20 per day and only a one-time fee of $15:
\(y=20x+15\)
Where y represents the total cost, 20x represents the cost for staying x days and 15 is the initial one-time fee.
For Bark Time Hotel, similarly:
\(y=30x+5\)
Again, y represents the total cost, 30x represents the cost for staying x days, and 5 is the initial one-time fee.
Thus, the system of equations is:
\(y=20x+15\\y=30x+5\)
The system that represents this real-world situation is:
Cost = 20d + 15
Cost = 30d + 5
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The system that represents this real-world situation is:
Let d be the number of days the pet will be boarded.
For Day and Night Kennel:
Cost = 20d + 15
For Bark Time Hotel:
Cost = 30d + 5
In this system, d represents the number of days the pet will be boarded, the constant 20 represents the daily boarding fee charged by Day and Night Kennel, the constant 30 represents the daily boarding fee charged by Bark Time Hotel, the constant 15 represents the one-time food fee charged by Day and Night Kennel, and the constant 5 represents the one-time food fee charged by Bark Time Hotel.
Thus,
Cost = 20d + 15
Cost = 30d + 5
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Find the area of the regular polygon.
Calculate the net profit margin for a
shirt sold for $12 that has a $3 cost of
goods sold and 20% operating expenses.
A. 55%
C. 70%
B. 220%
D. $7
The net profit margin for this shirt is 55%.
What is net profit?
Net profit is the amount of money your business earns after deducting all operating, interest and tax expenses over a period of time. To arrive at this value, you need to know the company's gross profit. If the value of net profit is negative, it is called net loss.
Net profit is another important parameter that determines the financial health of your business. It shows whether the company can earn more than it spends. Net profit helps you decide when and how to expand your business and when to cut costs.
It is important for a business owner to know the difference between profit and profitability. Profit is an absolute number equal to revenues minus expenses. Profitability, on the other hand, is a relative number (percentage) that equals the ratio of profit to revenue.
Profitability is a measure of efficiency and is useful in determining the success or failure of a business.
Given,
Revenue = $12
Cost of goods sold = $3
Operating expenses = 20% of revenue = 20/100 x $12 = $2.4
We know,
Net Profit = Revenue - Cost of goods sold - Operating expenses
\(Net \: Profit = 12 - 3 - 2.4\)
Hence, Net Profit = $6.6
Again,
Net Profit Margin = (Net Profit / Revenue) x 100%
Net Profit Margin \(= ( \frac{6.6}{ 12}) \times 100\%\)
SO, Net Profit Margin = 55%
Therefore, the net profit margin for this shirt is 55%.
So, it is clear that choice A is correct.
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Perform the following mathematical operation, and report the answer to the correct number of significant figures. 4568/1.3 = [?]
To two significant figures, we have the result as 3,500
Here, we want to divide the numbers and give the results into the appropriate significant figures
We have this as;
\(\frac{4568}{1.3}\text{ = 3513.8462}\)To two significat figures, we have the result as 3500
what is an equation of the parabola with vertex at the origin and focus (-6 0)
The equation of the parabola with the given vertex and focus is x^2 = 24y.
What is parabola?
A parabola is a U-shaped curve that is symmetric and can either open upward or downward. It is a conic section and is defined as the locus of points equidistant from a fixed point called the focus and a fixed line called the directrix
To find the equation of a parabola with the vertex at the origin (0, 0) and a focus at (-6, 0), we can use the standard form equation for a horizontally-oriented parabola:
(x - h)^2 = 4p(y - k)
where (h, k) represents the vertex coordinates, and p is the distance between the vertex and the focus.
In this case, the vertex is at (0, 0) and the focus is at (-6, 0). The distance between the vertex and focus is given by p = 6 (since the x-coordinate of the focus is 6 units away from the vertex).
Plugging these values into the standard form equation, we have:
(x - 0)^2 = 4(6)(y - 0)
Simplifying further, we get:
x^2 = 24y
Therefore, the equation of the parabola with the given vertex and focus is x^2 = 24y.
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Use synthetic division to find the result when 2x^ 4 − 17x^3 + 26x^2 + 26 x − 2 2x 4 −17x 3 +26x ^2 +26x−2 is divided by x − 6 If there is a remainder, express the result in the form q ( x ) + r( x )/b( x )
The result after synthetic division is 2x³ - 5x² - 4x + 2 and the remainder is -26/(x - 6).
What is synthetic division?When the divisor is a linear factor, the synthetic division is used to perform the division operation on polynomials.
To perform synthetic division, we set up the following table:
6 | 2 -17 26 26 -2
| 12 -30 -24
|-----------------
2 -5 -4 2 -26
Therefore, when we divide 2x⁴− 17x³ + 26x²+ 26x − 2 by x − 6 using synthetic division, we get:
2x³ - 5x^2 - 4x + 2 - 26/(x - 6)
So the quotient is 2x³ - 5x² - 4x + 2 and the remainder is -26/(x - 6).
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Use the number line to find the measure of AC.
A) 2
B)4
C)6
D)8
Answer:
j
bdufiduyr8ududgcjzloyetipp9ye9q5ysp
ба = 26 + 4а
solve for a
What is the measure of a vertex angle of a triangle if the base angle measures 38° and two congruent sides each measure 42 units?
Answer:
Bearing in the mind that an ossicle triangle has twin sides and coming out of the vertex they make twin angles at the base check the picture out
Step-by-step explanation:
Same way with 42
d) If C.P. - Rs 100, S.P. Rs 80, then loss percent
Step-by-step explanation:
Selling price = Rs.80
Cost price = Rs.100
here, CP > SP
Now...
Loss ( L ) = CP - SP
= RS.100 - 80
= Rs.20
Now...
\(loss \: percent \: = \frac{loss}{CP} \times 100%\)
\( = \frac{2000}{100} \\ \)
= 20 %
now consider that the penetrance of the disease is 75%. what is the probability that individual ii-2 exhibits this disease given this penetrance?
The probability that individual ii-2 exhibits the disease given a 75% penetrance is 0.75 or 75%.
Penetrance refers to the probability of an individual expressing a particular trait or disease given their genetic makeup. In this case, the penetrance of the disease is 75%, which means that there is a 75% chance that an individual with the genetic mutation for the disease will actually exhibit the disease. Therefore, the probability that individual ii-2 exhibits the disease given this penetrance is also 0.75 or 75%.
1. Penetrance is the probability that an individual with a specific genotype will express the associated phenotype or disease.
2. In this case, the penetrance of the disease is 75%, which means there is a 75% chance that an individual with the disease-associated genotype will exhibit the disease.
3. Given this penetrance, the probability that individual ii-2 exhibits the disease is 0.75 or 75%.
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What is the range of the data? 6 7 9 10
Answer:
4
Step-by-step explanation:
10 - 6 = 4
the radius of a sphere is increasing at a rate of 2 mm/s. how fast is the volume increasing when the diameter is 60 mm? evaluate your answer numerically.
When diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.
Define the term rate of volume change?The indication that demonstrates not whether a volume trend is occurring in an up or down direction is the volume rate of change.Step 1: Create an equation that connects a sphere's volume to radius as the first step.
V = 4/3*π*r³
Step 2: Calculate each side's derivative in respect to time (Let the time be "t").
(d/dt)V = (d/dt)(4/3*π*r³)
dV/dt = 4πr²*dr/dt
Step 3: The problem description informs us that the diameter is 600 m, hence r must be 30 mm.
Additionally, it is stated that now the radius of a sphere is expanding at a rate of 2 mm/s; as a result, dr/dt must equal 2 mm/s.
We are interested in dV/dt, or the rate of change of the sphere's volume.
dV/dt = 4π(30mm)²*(2mm/s)
dV/dt = 22,620 mm³/s
So, when diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.
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the probability of pulling a red marble out of bag of colored marbles is 3:7.if you were to pull color marbles out of the bag (one at a time,and putting the the marble back each time)Ford Five Hundred tribes approximately how many times would you select a red marble
Question isn't well formatted ;
If the question meant that choosing a marble for five hundred times ; then the calculation is stated below:
Answer:
214
Step-by-step explanation:
Given that :
Probability of picking a red out of a bag of colored marble = 3 : 7 ; that is 3 / 7
P(red) = 3 / 7
If the number of picks (with replacement) = 500
Then, the approximate number of red marbles chosen will be :
P(red) * number of picks
3/7 * 500 = 214.285
Approximate Number of red marbles chosen = 214
question 9 a data analyst creates a scatterplot. the analyst wants to put a text label on the plot to call out specific data points. what function does the analyst use?
It is recommended that the analyst make advantage of the alpha aesthetic. For the purpose of drawing attention to certain data points, the alpha aesthetic makes some points on a plot more transparent than others.
How can you explain the scatterplot?A scatter plot is a representation of a group of points that is displayed on both a horizontal and a vertical axis. Scatter plots are very important in the field of statistics due to the fact that they may show the degree of correlation, if any, that exists between the values of observed quantities or events (called variables).
Scatter plots are used to indicate the degree to which one variable is impacted by another by plotting data points on a horizontal and vertical axis. This is done in an attempt to show how closely the two variables are related.
The location of the marker that symbolizes each row in the data table is determined by the values that are placed in the columns that are positioned along the X and Y axes.
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Let A = [1 1 1 3 4 7]. Construct a 2 x 3 matrix C (by trial and error) using only 1, -1, and 0 as entries, such that CA = l_2. Compute AC and note that AC notequalto l_3.
We need to construct a 2 x 3 matrix C using only 1, -1, and 0 as entries such that the product of C and A results in the 2-norm of A. After some trial and error, we find a suitable matrix C.
However, when we compute the product of A and C, denoted as AC, we observe that it is not equal to the identity matrix l_3.
The given matrix A is a row vector [1 1 1 3 4 7]. We need to construct a 2 x 3 matrix C such that CA results in the 2-norm of A. By trial and error, we can construct the matrix C as follows:
C = [1 -1 0;
0 0 0]
Now, we compute the product AC:
AC = [1 -1 0; 0 0 0] * [1 1 1 3 4 7]
AC = [1*(-1) + (-1)1 + 01 1*(-1) + (-1)1 + 03 1*(-1) + (-1)1 + 04 1*(-1) + (-1)1 + 07
0*(-1) + 01 + 01 0*(-1) + 01 + 03 0*(-1) + 01 + 04 0*(-1) + 01 + 07]
AC = [-2 -2 -2 -2
0 0 0 0]
We can see that AC is not equal to the 3 x 3 identity matrix l_3.
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help me please please
Answer:
Step-by-step explanation:
not for help but for points