Solve for X
I need help please

The surface is sufficiently large so that the effects of edge conditions can be neglected. The properties of the fluid are constant. Radiation heat transfer is neglected. The flow is natural (free) convection. The Prandtl number is constant.

Heat transfer rate due to free convection from a vertical surface of 1.2 m high and 0.45 m wide to quiescent air that is 47°C colder than the surface can be calculated by using the following formula :Q = h × A × ΔTWhere Q is the rate of heat transfer, h is the convective heat transfer coefficient, A is the surface area, and ΔT is the temperature difference between the surface and the surrounding quiescent air.

The convective heat transfer coefficient can be calculated by using the following formula :h = Nu × k / LWhere Nu is the Nusselt number, k is the thermal conductivity, and L is the characteristic length. In this case, the characteristic length is the height of the surface. The Nusselt number can be calculated by using the following formula :

Nu =\(0.68 + (0.67 × Gr × Pr / (1 + (0.492 / Pr)^(9/16))^4/9 )^(1/4) × (1 + (0.492 / Pr)^(9/16))^2/9 × (Gr × Pr / (1 + (0.492 / Pr)^(9/16))^4/9)^(1/4) × (1 + (0.492 / Pr)^(9/16))^2/9\)

Where Gr is the Grashof number, Pr is the Prandtl number, and L is the characteristic length. The Grashof number can be calculated by using the following formula :

Gr = gβΔT L³ / v²

Where g is the acceleration due to gravity, β is the coefficient of thermal expansion, ΔT is the temperature difference, L is the characteristic length, and v is the kinematic viscosity. The coefficient of thermal expansion can be calculated by using the following formula :

β = 1 / T_avg

Where T_avg is the average temperature of the surface and the surrounding quiescent air.

The kinematic viscosity can be calculated by using the following formula :

v = μ / ρ

Where μ is the dynamic viscosity and ρ is the density. The dynamic viscosity can be obtained from the given data. The density can be calculated by using the ideal gas law :

ρ = P / R T

Where P is the pressure, R is the gas constant, and T is the temperature. The pressure can be assumed to be constant. The gas constant can be obtained from the given data. State applicable assumptions : The surface is vertical. The flow is steady and laminar.

The surface is sufficiently large so that the effects of edge conditions can be neglected. The properties of the fluid are constant. Radiation heat transfer is neglected. The flow is natural (free) convection. The Prandtl number is constant.

For more information on  Prandtl number visit:

brainly.com/question/32846568

#SPJ11

Answer:

1

Step-by-step explanation:

None of the sides are equal. Isosceles means that 2 sides are equal. Equilateral means that all sides are equal.

Both increasing the sample size (i) and using a lower confidence level (iii) would tend to decrease the width of a confidence interval. The answer is: E.

Increasing the sample size provides more data points, which leads to a more precise estimate of the population parameter. With a larger sample size, the variability within the sample is reduced, resulting in a narrower confidence interval.

Using a lower confidence level means being less confident in the estimation and allowing for a greater margin of error. A lower confidence level requires a smaller interval width to accommodate the increased uncertainty, resulting in a narrower confidence interval.

On the other hand, using a higher confidence level (ii) would tend to increase the width of a confidence interval. A higher confidence level indicates a greater degree of confidence in the estimation, requiring a wider interval to capture the range of possible values for the population parameter.

Hence, the correct option is: E. I and III only.

To know more about sample size, refer here:
https://brainly.com/question/31734526
#SPJ11

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

The term "dependent variable" refers to a variable that is affected by another variable. The correct option is d.

A variable that is influenced by another variable is known as the dependent variable. Hence, the correct answer is option d) dependent variable. What is a variable? A variable is a characteristic or phenomenon that can take on various values.

Researchers measure them to see if they are linked to one another or to find out if one causes another. The characteristics that the researchers seek to measure can be tangible, such as the length of a telephone line, or intangible, such as the number of times a person smokes cigarettes.

The different types of variables are Independent variable Dependent variable Controlled variableWhat is an independent variable?An independent variable is a variable that isn't affected by anything in the experiment except for the introduction of the independent variable.

The experimenter selects it and manipulates it.In an experiment, an independent variable is a variable that causes a change in the dependent variable when it is altered. This is the variable that the experimenter changes to test its impact on the dependent variable.

What is a dependent variable?A dependent variable is the variable that is affected by the independent variable. It's what you measure in the experiment and what is affected by the introduction of the independent variable. The dependent variable is the response that is measured in the experiment.

A variable that is influenced by another variable is known as the dependent variable. Hence, the correct answer is option d) dependent variable.

To know more about dependent refer here:

https://brainly.com/question/30094324#

#SPJ11

Answer:

Step-by-step explanation:

7x > 7, o 7(x > 1).

es x>1

espero y te ayude esto

The Regular Price is ( Original Price - $73.5).

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Gwen buys 3 identical pairs of shoes at Store.

She save $73.50 after the discount.

So, On each pair she saves= 73.5 /3

                                           = $24.5

To find the Regular Price

= Original Price - $73.5

Learn more about Unitary Method here:

https://brainly.com/question/1403820

#SPJ2

The gross earning per week is = $ 495.56.

The salary to hourly wage calculator allows you to view your earnings over several time frames. It is a versatile tool that enables you to change your annual salary into an hourly payout, compute your monthly salary into an hourly rate, change your weekly rate into an annual salary, etc. You will save time and effort by using our salary converter, which completes all tasks fast and easily.

Joseph works 5 hours on Monday

10 hours on Tuesday,

9. 5 hours on Wednesday

8. 25 hours on Thursday

6 hours on Friday

7. 5 hours on Saturday

He is paid $9. 85 per hour and time and a half for all hours over 40 per week.

Total working hour= 5+10+9.5+8.25+6+7.5=46.25

Earning per hour is = 9.85

total earning= 46.25*9.85=$455.56

total gross earning= $ 455.56+40=495.56

learn more about Earning per hour,

https://brainly.com/question/18221968

#SPJ4

Answer:

\(\sqrt{34}\) (or 5.83 when rounded to the nearest hundredth)

Step-by-step explanation:

Key skills needed: Distance Formula/ Pythagorean Theorem

1) There are 2 ways to approach this problem

2) Let's use distance formula first (I will explain both ways

\(\sqrt{(3-(-2))^2 + (1-(-2))^2}\) 3- (-2) is 3 + 2 = 5 .... 1 - (-2) = 1 + 2 = 3

So it would be \(\sqrt{5^2 + 3^2}\) (5 squared is 25 and 3 squared is 9)

--> \(\sqrt{25 + 9}\) = \(\sqrt{34}\) ---> Around 5.83 when rounded to the nearest hundredth

3) The next way is via pythagorean theorem

--> \(34 = c^2\) --> take the square root of both sides and get --> \(c = \sqrt{34}\)

The square root of 34 is around 5.83 units when rounded to the nearest hundredth.

Sorry to keep you waiting but hope you understood and have a nice day!! :D

Answer:

He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

Step-by-step explanation:

On sunday , sheldon bought 4 1/2 kg of plant food. He uses 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. b. Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will be need? Does he have enough left to do so.

Total food bought = 4 1/2 kg

Strawberry feed = 1 2/3 kg

Tomato feed = 1/4 kg

Total food used on Sunday = Strawberry + tomato

= 1 2/3 + 1/4

= 5/3 + 1/4

= (20+3)/12

= 23/12 kg

Total food remaining after Sunday = Total food bought - used food

= 4 1/2kg - 23/12kg

= 9/2 - 23/12

= (54-23)/12

= 31/12 kg

= 2 7/12 kg

Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time.

Strawberry = 2 × 1 2/3kg

= 2 × 5/3

= 10/3 kg

Tomato = 1 × 1/4kg

= 1/4 kg

Total food needed to feed strawberry two more times and tomato 1 more time

= 10/3 kg + 1/4 kg

= (40+3)/12

= 43/12 kg

= 3 7/12 kg

He will need 3 7/12 kg of food

He has 2 7/12 kg of food left

Therefore, he doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

The correct answer is option d) 9 ≤ 16.The base case of an induction statement is the initial condition that is used to prove the statement for all subsequent cases.

In the given question, the induction statement is 2n+1 ≤ 2n, 4n ≥ 3. To find the base case, we need to substitute the value of n that satisfies this inequality.
Let's try substituting n=1:
2(1) + 1 ≤ 2(1)
3 ≤ 2
This inequality is not true, so n=1 is not the base case.
Let's try substituting n=2:
2(2) + 1 ≤ 2(2)
5 ≤ 4
Again, this inequality is not true.

We need to keep trying different values of n until we find the one that satisfies the inequality.
Substituting n=3:
2(3) + 1 ≤ 2(3)
7 ≤ 6
This inequality is also not true.
Substituting n=4:
2(4) + 1 ≤ 2(4)
9 ≤ 8
This inequality is not true either.
Finally, substituting n=5:
2(5) + 1 ≤ 2(5)
11 ≤ 10
This inequality is true. So, n=5 is the base case for the induction statement 2n+1 ≤ 2n, 4n ≥ 3.

The question requires us to find the number of people at the college who like both lulu and Arabesque music. If we subtract that from the number of people who like lulu and blues, we will find out the number of people who like lulu and blues but not Arabesque. This is 96 - 93 = 3. Similarly, if we subtract 94 (people who like Arabesque and blues but not lulu) from 99 (people who like blues), we get 5. Adding the two values together, we get the number of people who like lulu and Arabesque as 3 + 5 = 8. Therefore, the correct answer is option (e) 8 people.

To know more about hypothesis visit:

https://brainly.com/question/32562440

#SPJ11

The area and perimeter of the triangle are:

B. 12x; 5x + 14

The area of the triangle in the image is calculated using the formula, area = 1/2(b)(h), where:

Substitute

Area of the triangle = 1/2(8)(3x)

Area of the triangle = 4(3x)

Area of the triangle = 12x units²

The perimeter of the triangle in the image is calculated by adding the length of all three sides of the triangle, which is:

Perimeter = (x + 9) + 8 + (4x - 3)

Perimeter = x + 9 + 8 + 4x - 3

Combine like terms

Perimeter = 5x + 14 units

In conclusion: the area and perimeter of the triangle are:

B. 12x; 5x + 14

Learn more about the area and perimeter of triangle on:

https://brainly.com/question/28574534

#SPJ1

Answer:

The value of x is 30 and y is 14

Step-by-step explanation:

Here, In given triangle,

∆JLK is similar to ΔPQR

JL is corresponds to PQ.

So, we have the ratio, 21/y ...(1)

Now,

LK is corresponds to QR.

So, we have the ratio, 18/12 = 3/2 ...(2)

Now,

JK is corresponds to PR.

So, we have the ratio, x/20 ...(3)

Then, (1) = (2) = (3)

21/y = 3/2 = x/20 ...(*)

Now, Cross Multiply by (1) and (2) we get,

21 × 2/y × 3

42 = 3y

3y = 42

y = 42/3

y = 14

Here, we get the value of y is 14. So, we will put the value of y in (1) we get,

21/y = 21/14

So, by (*) we get

21/14 = 3/2 = x/20

Then, Cross Multiply with (2) and (3) we get,

3/2 = x/20

20 × 3 = 2 × x

60 = 2x

2x = 60

x = 60/2

x = 30

Thus, The value of x is 30 and y is 14

21/y = 3/2 = x/20

21/14 = 3/2 = 30/20

3/2 = 3/2 = 3/2

-TheUnknownScientist

Answer:

89.8 feet

Step-by-step explanation:

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=75°, and DB = 93 feet. Find the length of BC to the nearest tenth of a foot.

We would solve the above question using Sine rule

The formula is given as:

DB/sin D = BC/sin B

93/sin 90 = BC/sin 75

We cross multiply

sin 90 × BC = 93 × sin 75

BC = 93 × sin 75/sin 90

BC = 89.83 feet

Approximately BC = 89.8 feet

Answer:No she did not she drove 336 miles

Step-by-step explanation:

Answer:368

Step-by-step explanation:

The roots at which the graph of f(x) = \((x+4)^{6} * (x+7)^{5}\)cross the x axis are -4 and -7.

What is root of graph ?

A rooted graph is a graph in which one node is labeled in a special way so as to distinguish it from other nodes. The special node is called the root of the graph. The rooted graphs on nodes are isomorphic with the symmetric relations on nodes.

Have given,

If f(x) = \((x+4)^{6} * (x+7)^{5}\) cross the x-axis,

then y = f(x) = 0.

If f(x) = 0,

then  \((x+4)^{6} * (x+7)^{5}\) = 0.

If  \((x+4)^{6} * (x+7)^{5}\)= 0,

then x + 4 = 0 and x + 7 = 0

⇒ x = - 4 and x = - 7

Therefore , The roots at which the graph of f(x) = \((x+4)^{6} * (x+7)^{5}\)cross the x axis are -4 and -7.

To learn more about root of graph visit: brainly.com/question/29553394

#SPJ4

The city covers an area of 80.38 square kilometers.

To calculate the number of square kilometers in 31.2 square miles, we need to use the given conversion factor 1 mile = 1.61 km. We can do this by multiplying the number of square miles by the square of the conversion factor.

Hence, the number of square kilometers in 31.2 mi² is calculated as follows:

1 mi² = 1.61² km² (square both sides to convert square miles to square kilometers)1 mi² = 2.5921 km² (square of 1.61)

Now, we can calculate the area in square kilometers by multiplying the number of square miles by the area conversion factor:

31.2 mi² × 2.5921 km²/mi² = 80.38 km²

Therefore, the city covers an area of 80.38 square kilometers.

Learn more about conversion at

https://brainly.com/question/31408045

#SPJ11

Yes, there is a correlation between these measures. The higher the placement exam score, the higher the student's score on their first exam tends to be. For example, students with placement exam scores of 11 and 49 had first exam scores of 27 and 71 respectively, indicating that the higher the placement exam score, the higher the first exam score.

A measure in mathematics is a generalization of the ideas of length, area, and volume. Measures are sometimes referred to as "mass distributions" informally. A measure, in more exact terms, is a function that gives numbers to particular subsets of a given set. This quantity is described as the set's measure.

To measure length or distance, this system employs inches, feet, yards, and miles. Volume or capacity are expressed in fluid ounces, cups, pints, quarts, or gallons. In ounces, pounds, and tons, weight or mass is expressed.

To know more about measure visit:

https://brainly.com/question/4725561

#SPJ4

Answer:

C x=40, y=30

Step-by-step explanation:

Remember the opposite side of parallelogram is the same

so angle C and angle A is the same.

3x=120

divide both sides by 3 and you get 40

All parallelogram equal to 180 degrees so to find y

180=2y+120

-2y=120-180

-2y=-60                   negative divide negative is positive.

y=30

Answer:

20, the answer is 20 members

Answer:

3) On a test of 25 questions, a student 4) Alisa earned $30 raking leaves. She ... 80% horror. 6Sn-sdo 1800 ... How many tickets were a) What percent of her weight did sold? ... b) Atlantic Auditorium has 850 seats. b) At the next visit, we were happy to see ... members of the art club voted in the more students joined. election.

Step-by-step explanation:

Answer:

length is 17

width is 14

Step-by-step explanation:

Answer: It's A

Step-by-step explanation:

If the inflation rate is 180%, the average prices will double in less than one year.

This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate

In this case, the inflation rate is 180%.

Therefore:Years to double = 70/180%

Years to double = 0.389 years

This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).

Learn more about inflation rate at

https://brainly.com/question/31635911

#SPJ11

Given in the question:

a.)

Answer:

Step-by-step explanation:

y= 4x^2 - 13x + 3

the images bleow

Answer:

Step-by-step explanation:

Triangle - 3 sides

Perimeter - Add

5ft + 12ft = 17ft

The answer closest to the margin of error is option b: 4.2%.

To determine the margin of error at the 95% confidence level for the proportion of likely voters who prefer the incumbent candidate, we can use the formula:

Margin of Error = (Z * √(p*(1-p))/√n)

Where:

Z is the Z-score corresponding to the desired confidence level (95% corresponds to approximately 1.96)

p is the proportion of voters who prefer the incumbent candidate (42% or 0.42)

n is the sample size (350)

Calculating the margin of error:

Margin of Error = (1.96 * √(0.42*(1-0.42))/√350)

Using a calculator, the closest value to the margin of error is approximately 4.2%. Therefore, the answer closest to the margin of error is option b: 4.2%.

To know more about margin of error refer here:

https://brainly.com/question/29419047

#SPJ11