Consider the heat transfer in a turbulent boundary layer flow from an isothermal flat plate maintained at 500 K to a constant temperature air stream at 300 K, 1 atm which flows at 10 m/s. Using von Karman's velocity profile, that is, y+, ut (y)=5lny+ - 3.05, 0 30 2.5lny+ +5.5, find an expression for the temperature profile T(y) at x = 1.5 m and plot T versus y. Calculate the local heat flux qő from the plate to the air, the local heat transfer coefficient he and the local Nusselt number Nur at 1 1.5 m, x2 = 2.5 m and x3 = 5 m. Assume that Prt = 0.9 = -1/5 and Cf.x = 0.0592 Rez Using the Blasius-Pohlhausen solutions and Colburn analogy, plot the distribution of convective heat transfer coefficient over the flat plate where the length of the plate in free stream direction is 5 m. In the same plot, show previously calculated values of the convective heat transfer coefficient at x₁ = 1.5 m, x₂ = 2.5 m and x3 = 5 m.

The equation for the plane through P0(8,1,−4) perpendicular to the following line is x + 4y + 5z - 8 = 0

The slope of the perpendicular line should be a/b, and if one line is perpendicular to this line, the product of slopes should be -1. The equation of a line perpendicular to a given line ax + by + c = 0 is bx - ay + = 0, where is a constant.

The given parameters are

x=8−t​, y=1−2t​, z=3t​,

P0(- 9, 6, - 5).

Direction vector of line is < -1, 4, 5>,

This vector is normal vector for unknown plane.

So, equation of plane: -1(x - (-9)) + 4(y - 6) + 5(z - (-5)) = 0; - x - 9 + 4y - 24 + 5z + 25 = 0;

In conclusion the equation is given as  -x + 4y + 5z - 8 = 0

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Answer:

s = 71

j = 23

71 = 3j+2

71 - 2 = 3j

39 = 3j

j = 23

Answer:

j=23

s=71

Step-by-step explanation:

Here we have two parallel lines lines( UB and DK).

And we have another line, called a transversal that intersects( crosses) both parallel line. Doing so creates the following angles,

So now we look at the graph

First, we know that 3j+2 and s are vertical angles since they are across of each other. So they are equal to each other so let look at another angle first.

3j+s and 71 are Alternate Interior Angles since they lie inside the transversal and are across from each other.

Since they are Alternate Interior Angles, they are equal.

So we set them equal to each other.

\(3j + 2 = 71\)

Subtract 2 from both sides

\(3j = 69\)

Divide both sides by 3

\(j = 23\)

The value of j is 23.

Know to find S, we know s is equal to 3j+2, which when we plug in 23 for j, we get 71.

So s=71

Answer:

PQ = 37 Km

Step-by-step explanation:

let PQ = x , then

PR =  x + 15 and QR = 3(x + 15) = 3x + 45

sum the parts and equate to 245

x + x + 15 + 3x + 45 = 245 , that is

5x + 60 = 245 ( subtract 60 from both sides )

5x = 185 ( divide both sides by 5 )

x = 37

then

PQ = x = 37 Km

Part 1:

Domain = (-2, -1, 0, 2)

Range = (-4, -2, 2)

Part 2:

Domain = (-4, -2, 1, 4)

Range = (-2, 1, 4)

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Part 1:

From the function figure:

All the x values are domain and all the y values are codomain.

All the y values that are an image of an x value are called the range.

So,

Domain = (-2, -1, 0, 2)

Range = (-4, -2, 2)

Part 2:

From the table:

All the x values are domain and all the y values are range.

So,

Domain = (-4, -2, 1, 4)

Range = (-2, 1, 4)

Thus,

The domain and range are given above.

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The given question is incomplete and lacks specific information or context. It mentions a mathematics portion of a test and a score requirement of 25 or higher, assuming the test scores are normally distributed. However, there is no clear question or task stated. To provide a comprehensive answer, it is necessary to have a specific question or prompt related to the given information.

Without a specific question or task, it is difficult to provide a detailed explanation or analysis. However, based on the limited information provided, it seems that the question might be asking for the probability or percentage of students scoring 25 or higher on the mathematics portion of the test, assuming a normal distribution of test scores. To calculate this probability, additional information is needed, such as the mean and standard deviation of the test scores or a z-score table.

Using the mean and standard deviation, one could calculate the z-score for a score of 25 and then determine the corresponding probability from the z-score table. The z-score represents the number of standard deviations a particular score is from the mean. By looking up the z-score in the table, one can find the corresponding probability or percentage.

However, since the question lacks specific information or context, it is not possible to provide a more detailed or accurate answer.

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Answer:

The unit rate is .6¢

Step-by-step explanation:

To find unit rate, you divide the price by the amount of whatever it is that there are. In this case its cans of beans. So it would by 9.60 divided by 16 which equals .6. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Answer: m<3 is 36 degrees.

Step-by-step explanation:

7x=3x+9+3x

7x=6x+9

-6x  -6x

x=9

m<3=3(9)+9

m<3=27+9

m<3=36

To find each answer, we just have to solve for t. It is important to use the important angles in trigonometry to provide an exact answer.

The first answer is t = 225°.

The second answer is 30°.

The third answer is t = 150°.

The total cost the movie rental charges for 5 months is $105.

where

n = number of months

The movie rental charges $20 a month plus another $5 just for membership.

The total cost for 5 months can be computed as follows:

n = 5

Therefore,

f(5) = 20(5) + 5

f(5) = 100 + 5

f(5) = 105

The total cost for 5 months is $105.

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Answer:

8,192....this is the answer

Answer:

sp=mp-20%ofmp=0.8mp

mp=cp+30%ofcp=1.3cp

mp=1.3cp

cp=mp/1.3

profit %=?

Step-by-step explanation:

The profit percentage is 4% .

Profit percentage (%) is the amount of profit expressed in terms of percentage. This profit is based on the cost price .

Formula for profit percentage is:

(Profit/Cost Price) × 100

where,

Profit = Selling price - Cost price

According to the question

Let Cost price of the article = 100x

marked price is 30% above the cost price

i.e  marked price = \(\frac{130}{100} * 100x\)

                            = 130 x

selling price of an article is 20% less than its marked price

i.e Selling price of the article = \(130x * \frac{100-20}{100}\)

                                                = \(130x * \frac{80}{100}\)

                                                = 104 x

Now ,

Profit = Selling price - Cost Price

Profit = 104x -100x

Profit = 4x        

Profit percentage =   \(\frac{Profit}{Cost PRice} *100\)

substituting the values in formula

Profit percentage =  \(\frac{4x}{100x} *100\)

Profit percentage =  4%

Hence, the profit percentage is 4% .

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Answer:

Step-by-step explanation:

the 3rd

Answer: 45% or 9/20

Step-by-step explanation:

50% is half and 33% is 1/3. 45% is less than 50% and greater than 33% and 9/20 is the simplified fraction form of 45%.

Answer:

Step-by-step explanation:

hello :

(f-g)(x) =f(x)-g(x)=  2x+1 -(2x+3) =2x+1-2x-3

(f-g)(x) = -2

The value of  (f-g)(x) is -2.

A function is a law that relates two variables namely, a dependent and an independent variable.

A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can have.

The functions are :

f(x) = 2x +1

g(x) = 2x +3

The value of  (f-g)(x) has to be determined.

(f-g)(x) = ( 2x +1 ) - ( 2x+3)

Opening the brackets

(f-g)(x) = 2x +1 -2x -3

Grouping the like terms together.

(f-g)(x) = 0 -2

(f-g)(x) = -2

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Step-by-step explanation:

4(px + 1) = 64

Step 1: Add -4 to both sides.

4px + 4 -4 = 64 + -4

4px = 60

Step 2: Divide both sides by 4p.

4px = 60

4p 4p

x = 15

p

The value of the expression -13x-7y is -8.

What is the system of equations?

Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.

Given system of equations are

-9x + y = 2   .....(i)

-4x - 8y = -10 ....(ii)

Solve the equation by using system of equations.

Multiply equation (i) by 8 and add with equation (ii)

-72x + 8y = 16

-4x - 8y = -10

___________

-76x = 6

x = 6/-76

x = - (3/38)

Putting x = - (3/38) in equation (i):

-9[- (3/38)] + y = 2

27/38 + y = 2

y = 2 - 27/38

y = 49/38

Putting x = - (3/38) and y = 49/38 in -13x-7y:

-13(-3/38)-7(49/38)

= 39/38 - 343/38

= -304/38

= -8

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Answer:

no solutions because you would get an outcome of a not real world problem

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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Answer:

\((x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} = c^{2}\)

\(V(x_{1}, y_{1}) = V(4, 4)\\X(x_{2}, y_{2}) = V(5, 8)\\\)

\((5-4)^{2} + (8-4)^{2} = c^{2}\\1^{2} + 4^{2} = c^{2}\\\)

\(1+16=c^{2}\\17= c^{2}\\c = \sqrt{17}\)

Step-by-step explanation:

Start by plotting your points.

If the line is diagonal, then realize you can make a triangle with the line connecting the two points being the hypotenuse.

Use Pythagorean Theroem to solve.

The distance between V(4,4) and X(5,8) is √17 unit.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

First find the difference of between the 2 points V(4,4) and X(5,8) to find the length of the legs.

The distance between 4 and 5 = 1

The distance between 4 and 8 = 4

So,

1^2 + 4^2 = c^2

1 + 16 = c^2

17 = c^2

√17 = c

Therefore, the distance between V(4,4) and X(5,8) is √17 unit.

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The passive voice of the sentences will be:

It should be noted that a passive voice simply means a form of verb where the subject undergoes the action of the verb.

In this case, the passive voice is used to emphasize the action. In order to identify the passive voice, one should look at what happened and who was responsible.

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Answer:

30000 valie after 11 years initial value

The level curves of f(x, y) = \(e^{x^{2} -y^{2} }\) for k = 0, 1, and 1/3 can be sketched on the same set of axes. The surface z = f(x, y) resembles a bell curve centered at the origin.

i. The level curves of the function f(x, y) = \(e^{x^{2} -y^{2} }\)for k = 0, 1, and 1/3 can be sketched on the same set of axes.

ii. The surface z = f(x, y) is difficult to describe accurately without a visual representation. However, it can be understood that the surface decreases exponentially as the values of x² and y² increase. The surface approaches zero as x² and y² become very large.

The shape of the surface is similar to a bell curve or a Gaussian distribution, with the peak centered around the origin (0, 0). As the distance from the origin increases, the values of z decrease rapidly. Overall, the surface represents a smooth, decaying function that extends infinitely in all directions.

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Answer:

a₁ = 16

Step-by-step explanation:

The sum to infinity of a geometric series is

S ∞ = \(\frac{a_{1} }{1-r}\)

where a₁ is the first term and r the common ratio , then

\(\frac{a_{1} }{1-0.2}\) = 20

\(\frac{a_{1} }{0.8}\) = 20 ( multiply both sides by 0.8 to clear the fraction )

a₁ = 0.8 × 20 = 16

A "required parameter" requires an assigned value for the argument used to call the method, while "optional parameters" do not need to be included in the method call and have a default value assigned to them.

The type of parameter that requires that the argument used to call the method must have an assigned value is a "required parameter".

Required parameters are parameters that must be included in the method call, and the argument passed for the required parameter must have a value assigned to it. If a required parameter is not included in the method call, or if the argument passed for the required parameter does not have a value assigned to it, an error will be thrown.

In contrast, there are also optional parameters, which are parameters that do not need to be included in the method call. If an optional parameter is not included in the method call, the method will use a default value assigned to the parameter.

In many programming languages, the syntax for specifying required and optional parameters in a method or function call is specified using different symbols, such as parentheses or square brackets.

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Answer:

186 miles

Step-by-step explanation: 171.37-16.99 = 154.38

154.38/0.83 =186

Answer:

1.86

Step-by-step explanation

Answer:

Slope = 1

y-intercept = 3

Step-by-step explanation:

Since, slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,

Slope = \(\frac{3-0}{0-(-3)}\)

Slope = 1

y-intercept of the line = distance between the origin and point of intersection of the line with y-axis

y-intercept = 3

To determine if the population mean life span for Honolulu is less than 77 years based on the sample information, we can conduct a hypothesis test.

Let's set up the hypotheses: Null hypothesis (H₀): The population mean life span for Honolulu is 77 years. Alternative hypothesis (H₁): The population mean life span for Honolulu is less than 77 years.

We have a sample of 20 obituary notices, and the sample mean and sample standard deviation are not provided in the question. Without the specific sample values, we cannot calculate the p-value directly. However, we can still discuss the general approach to finding the p-value. Using the given assumption that life span in Honolulu is approximately normally distributed, we can use a t-test for small sample sizes. With the sample mean, sample standard deviation, sample size, and assuming a significance level (α), we can calculate the t-statistic.

The t-statistic can be calculated as: t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

Once we have the t-statistic, we can determine the p-value associated with it. The p-value represents the probability of obtaining a sample mean as extreme as (or more extreme than) the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level (α), we reject the null hypothesis and conclude that the population mean life span for Honolulu is less than 77 years. If the p-value is greater than α, we fail to reject the null hypothesis.

Without the specific sample values, we cannot calculate the t-statistic and p-value.

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Step-by-step explanation:

Draw diagonal AC

The triangle ABC has sides 17 and 25

Say AB is 17, BC is 25

Draw altitude on side BC from A , say h

h = 17 sin B

Area = 25*17 sin B = 408

sin B = 24/25

In ∆ ABC

Cos B = +- 7/25

= 625 + 289 — b^2 / 2*25*17

b^2 = 914 — 14*17 = 676

b = 26

h = 17*24/25 = 408/25 = 16.32

Draw the second diagonal BD

In ∆ BCD, draw altitude from D, say DE =h

BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2

BD^2 = 16.32^2 + (25 + 4.76)^2

= 885.6576 + 266.3424

BD = √ 1152 = 33.94 m

Answer:

m<2= 101; m<1=79

Step-by-step explanation:

angle 1 is corresponding to the 79 degree angle

angle 2 is supplementary from 79 degrees