Drag the numbers to label the points plotted on the number line.

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.

This 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

7.2 + c = 19

c = 19 - 7.2

c = 11.8

Answer:

Your answer is 5.

Step-by-step explanation:

7.2 + c = 19

or, 14 + c = 19

or, c = 19 - 14

or, c = 5       ans.

Hope its helpful :-)

Answer:

234

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

AREA FOR TRIANGLE: bh/2

b = base

h = height

-

30 x 15.6 = 468

468/2 = 234

-

hope this helped ! :D

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

Answer:

10

Step-by-step explanation:

The first step is to calcuate inside perthenses .

The second step is to find value of expontents.

The third step is to add then subtract.

The fourth step is to multiply.

Answer:

1 is the correct option

I think so

The equation describes the line in the slope-intercept form will be y = (1/3)x +(2/3). Option A is correct.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

It is given that the slope of the line is −1/3 and passes through the points (−2,3)

A straight line is a combination of endless points joined on both sides of the point. It is shown by the slope-intercept form.

The standard form of the slope-intercept is,

y-y₁ = m(x-x₁)

y-3=−1/3(x-(-2)

y-3=-1/3(x+2)

y = -1/3 x - 2/3 +3

y= -1/3x -7/3.

Thus, the equation describes the line in the slope-intercept form will be y = (1/3)x +(2/3). Option A is correct.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ5

Answer:

FIND IT YOURSELF

Step-by-step explanation:

YOU ARE GIVEN QUESTIONS TO ANSWER FOR YOU, NOW DO IT YOURSELF.

The value of {x} would be 11.872.

Cosine of the angle is defined as the ratio of base and hypotenuse. Mathematically -

cosθ = (base)/(hypotenuse)

Given is a right angled triangle as shown in the figure.

We can write the value of {x} as -

cos{32} = x/14

{x} = 14 cos (32)

{x} = 14 x 0.848

{x} = 11.872

Therefore, the value of {x} would be 11.872.

To solve more questions on angles, visit the link below -

https://brainly.com/question/13091583

#SPJ1

It will take approximately 18 weeks for the virus to infect 800,000 people, based on a growth rate of 12% per week. This calculation assumes a continuous and consistent rate of infection.

To determine how long it will take for the virus to infect 800,000 people, we can use exponential growth based on the given rate of 12% per week.

Let's calculate the number of infected people after each week:

Week 1: 100,000 + (12% of 100,000) = 100,000 + 12,000 = 112,000

Week 2: 112,000 + (12% of 112,000) = 112,000 + 13,440 = 125,440

Week 3: 125,440 + (12% of 125,440) = 125,440 + 15,053.8 ≈ 140,494

Week 4: 140,494 + (12% of 140,494) = 140,494 + 16,859.28 ≈ 157,353

We can observe that the number of infected people increases each week by approximately 12%.

Now let's continue calculating the number of infected people until we reach or surpass 800,000:

Week 5: 157,353 + (12% of 157,353) ≈ 176,125

Week 6: 176,125 + (12% of 176,125) ≈ 197,375

Week 7: 197,375 + (12% of 197,375) ≈ 221,225

Week 8: 221,225 + (12% of 221,225) ≈ 247,861

Week 9: 247,861 + (12% of 247,861) ≈ 277,960

Week 10: 277,960 + (12% of 277,960) ≈ 312,011

Week 11: 312,011 + (12% of 312,011) ≈ 350,131

Week 12: 350,131 + (12% of 350,131) ≈ 392,157

As we can see, by the end of Week 12, the number of infected people is approximately 392,157. Therefore, it will take more than 12 weeks for the virus to infect 800,000 people.

To determine the exact number of weeks, we need to continue the calculations until we reach or surpass 800,000:

Week 13: 392,157 + (12% of 392,157) ≈ 439,579

Week 14: 439,579 + (12% of 439,579) ≈ 492,205

Week 15: 492,205 + (12% of 492,205) ≈ 550,394

Week 16: 550,394 + (12% of 550,394) ≈ 614,915

Week 17: 614,915 + (12% of 614,915) ≈ 686,982

Week 18: 686,982 + (12% of 686,982) ≈ 767,180

Therefore, it will take approximately 18 weeks for the virus to infect 800,000 people.

To know more about exponential growth refer here:

https://brainly.com/question/1596693#

#SPJ11

Answer: \(2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )\)

Step-by-step explanation:

\(\sqrt[3]{32x^{8} y^{10} } =\sqrt[3]{2^{3} \cdot 2^{2} \cdot x^{2} \cdot (x^{2} )^{3} \cdot y \cdot (y^{3})^{3} } =2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )\)

Answer:

Option C :

               \(\sqrt[3]{32x^8y^10} = 2x^2 y^3 \sqrt[3]{4x^2 y}\)

Step-by-step explanation:

\(\sqrt[3]{32x^8y^{10}}} = ( 32 x^8 y^{10})^{\frac{1}{3}}\)

              \(= ( 2^5 \times x^8 \times y^{10})^{\frac{1}{3}}\\\\= ( 2^{5\times\frac{1}{3}} \times x^{8 \times \frac{1}{3}} \times y^{10 \times \frac{1}{3}})\\\\=(2^{\frac{3}{3} + \frac{2}{3}}} \times x^{\frac{6}{3} + \frac{2}{3}} \times y^{\frac{9}{3} + \frac{1}{3}})\\\\= 2 \times 2^{\frac{2}{3}} x^2 \times x^{\frac{2}{3}} \times y^3 \times y^\frac{1}{3}\\\\=2x^2 y^3 \times 2^{\frac{2}{3} \times }x^{\frac{2}{3}} \times y^{\frac{1}{3}}\\\\=2x^2 y^3 (2^2x^2 y)^{\frac{1}{3}}\\\\= 2x^2y^3 \ \sqrt[3]{ \ 4 x^2 \ y }\)

Answer: 789

Step-by-step explanation:

No offense but this was an easy question

Sorry hope this helps

Answer:

789

Step-by-step explanation:

Step 1: add 7

Step 2: answer is 789

The representation that is one and only for a logical function is the truth table (C).

A truth table is a table that lists all possible combinations of inputs for a logical function and the corresponding outputs. It provides a systematic way to represent the behavior of a logical function by explicitly showing the output values for each input combination. Each row in the truth table represents a specific input combination, and the corresponding output value indicates the result of the logical function for that particular combination.

By examining the truth table, one can determine the logical behavior and properties of the function, such as its logical operations (AND, OR, NOT) and its truth conditions.

Learn more about function here: brainly.com/question/30660139

#SPJ11

A translation is a congruent transformation along a vector such that each segment joining a point and its image has the same length as the vector and is parallel to the vector.

A translation is a type of congruent transformation in geometry that involves shifting an object or shape along a specific vector.

In a translation, every point and its corresponding image are connected by a segment, which has the same length as the vector and is parallel to the vector. The term you are looking for to fill the blank is "image."

During a translation, the object or shape maintains its size, shape, and orientation, ensuring that it remains congruent to its original form. This transformation moves the object without changing any of its properties, except for its position in the coordinate plane. Since the segment joining each point and its image is parallel to the vector and has the same length, this ensures that the entire shape is shifted uniformly along the vector's direction.

In summary, a translation is a congruent transformation that shifts an object or shape along a vector, preserving its size, shape, and orientation. The segments connecting each point and its image have the same length as the vector and are parallel to it, ensuring a uniform shift in the object's position.

To learn more about coordinate plane click here

brainly.com/question/31180198

#SPJ11

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3

3x^2 - 7x - 20

use FOILING

Answer:

78m.

Step-by-step explanation:

Since we are not given any dimension we can use the following dimension.

Let the park be rectangular in nature

Length = 25m

Width = 14m

Perimeter = 2(L+W)

Perimeter = 2(25 + 14)

Perimeter = 2(39)

Perimeter = 78m

Hence the perimeter of the park is 78m.

Note that the dimension were assumed and any values can be used using similar calculation.

Answer:

Perpendicular: 4, Parallel: -1/4

Step-by-step explanation:

The slope of a line perpendicular to the given line is the opposite inverse of the slope to the line.

First write the equation of the line in slope-intercept form

-x-4y=7

-4y=x+7

y=-(1/4)x-7/4;

The slope to the line is -1/4; Now find the slope of the perpendicular line;

-(-1/4)^-1 = 4

4

The slope of a line parallel to a line is the same as the given slope;

when we calculated the given slope, it was -1/4

The slope of the line parallel to this line is also -1/4

-1/4

area of rectangle : length x width

1) 7 x 5 = 35

area = 35 in^2

2) area of trapezoid : (a+b)h/2

area = 272 cm^2

3) area = 45.5 in^2

4) area of rhombus : base x height

area =  80 m^2

5) area = 108 cm^2

Answer:

number one is 35in its important to say inches after but in the abbreviation

Step-by-step explanation:

if you need to show your work then put on the side of it

  7in

x 5in

-------

  35in

The height of the Pole is 40 m

The angles of depression and elevation are complementary angles because they add up to 90 degrees.

When an object is viewed from above, the angle between the line of sight and the horizontal line is called the angle of depression.

On the other hand, when an object is viewed from below, the angle between the line of sight and the horizontal line is called the angle of elevation.

Here we have

A tower and a pole stand vertically on the same level of the ground.

It is observed  that the angles of depression of the top and foot of the pole from the top of the  tower of height 60 m are 30° and 60° respectively

From the top of the tower, the angle of depression will equal the angle of elevation from the foot of the pole to the top of the tower (since the two angles are complementary).

=> Angle of Elevation = Angle of Depression

From triangle ABD

Tan 60°  = AB/BD

=> √3 = 60/BD

=> BD = 60/√3

=> BD = 20√3

From triangle AEC

Tan30°  = AE/EC

EC = BD = 20√3

=> 1/√3 = AE/20√3

=>  AE = 20

From the figure, AE = AB - CD

Let 'h' be the CD

=> 20 = 60 - h

=> 20 = 60 - h

=> h = 40

The height of the Pole is 40 m

Learn more about Angle of depression at

https://brainly.com/question/15322533

#SPJ1

The height of the Pole is 40 m.

The angle of depression and elevation:

The angles of depression and elevation are complementary angles because they add up to 90 degrees.

When an object is viewed from above, the angle between the line of sight and the horizontal line is called the angle of depression.

On the other hand, when an object is viewed from below, the angle between the line of sight and the horizontal line is called the angle of elevation.

Here we have

A tower and a pole stand vertically on the same level of the ground.

It is observed  that the angles of depression of the top and foot of the pole from the top of the  tower of height 60 m are 30° and 60° respectively

From the top of the tower, the angle of depression will equal the angle of elevation from the foot of the pole to the top of the tower (since the two angles are complementary).

=> Angle of Elevation = Angle of Depression

From triangle ABD

Tan 60°  = AB/BD

=> √3 = 60/BD

=> BD = 60/√3

=> BD = 20√3

From triangle AEC

Tan30°  = AE/EC

EC = BD = 20√3

=> 1/√3 = AE/20√3

=>  AE = 20

From the figure, AE = AB - CD

Let 'h' be the CD

=> 20 = 60 - h

=> 20 = 60 - h

=> h = 40

The height of the Pole is 40 m.

Learn more about Angle of depression From the given link:

brainly.com/question/15322533

#SPJ1

Therefore, in response to the given query, we can state that The two expressions expressions are equal because, as you can see, the outcome is the same as the first expression, 4x + 12.

In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions.   It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The two phrases are interchangeable, yes.

To better understand why, let's use the distributive principle of multiplication over addition to expand the second expression as follows:

4(X+3) = 4X + 4(3) = 4X + 12

The two expressions are equal because, as you can see, the outcome is the same as the first expression, 4x + 12.

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

Answer:

by the fourth week farrah will know 20 appetizer recipes

Answer:

4 weeks

Step-by-step explanation:

15/3= 5

20/5= 4

Answer:

...............

Step-by-step explanation:

...............

Answer:

basically you have to calculate how many roommates he has and you do that by multiplying it by 50

Step-by-step explanation:

I hope this helps please mark me the brainless!!!!!!

The probability that x forms are required is known to be proportional to  c = 1/15.   c= 2/5  c= 3/5, c= 1.1

(a) Since the probabilities must sum to 1, we have:

pX(1) + pX(2) + pX(3) + pX(4) + pX(5) = c(1 + 2 + 3 + 4 + 5) = 15c

Therefore, c = 1/(1 + 2 + 3 + 4 + 5) = 1/15.

(b) The probability that at most three forms are required is:

P(X ≤ 3) = pX(1) + pX(2) + pX(3) = c(1 + 2 + 3) = 6c = 2/5.

(c) The probability that between two and four forms (inclusive) are required is:

P(2 ≤ X ≤ 4) = pX(2) + pX(3) + pX(4) = c(2 + 3 + 4) = 9c = 3/5.

(d) No, because the probabilities do not sum to 1:

Σ pX(x) from x = 1 to 5

= (1/50)(1 + 4 + 9 + 16 + 25)

= 55/50

= 1.1

Learn more about probabilities

https://brainly.com/question/30034780

#SPJ4

Step-by-step explanation:

\( {m}^{3} = {cm}^{3} = \div {10}^{6} \)

0.2m^3 = 0.0000002 cm^3

(a), we have 4096 different purchases.

(b), we have 17113 different purchases.

(c), we have 86751 different purchases.

(d), we have 2187 different purchases.

(e), the total number of different purchases that satisfy all conditions is 2187.

(a) To ensure that you bring back at least one of each type of sandwich, you can consider selecting one sandwich of each type and then choose the remaining six sandwiches from any of the four varieties. This can be done in the following way:

For each type of sandwich, you have 1 choice (to select at least one), and for the remaining six sandwiches, you have 4 choices (ham, chicken, vegetarian, or egg salad).

So the total number of different purchases you can make is:

1 choice for ham × 1 choice for chicken × 1 choice for vegetarian × 1 choice for egg salad × 4 choices for the remaining six sandwiches = 1 × 1 × 1 × 1 × 4⁶ = 4⁶ = 4096 different purchases.

(b) To bring back at least three vegetarian sandwiches, you need to consider selecting three or more vegetarian sandwiches. You can then choose the remaining sandwiches from any of the four varieties.

The possibilities are:

Selecting exactly 3 vegetarian sandwiches:

You have 1 choice for each of the other three varieties (ham, chicken, and egg salad). So the total number of purchases is:

1 choice for ham × 1 choice for chicken × 1 choice for egg salad × 1 choice for the remaining seven sandwiches = 1 × 1 × 1 × 4⁷ = 4⁷ = 16384 different purchases.

Selecting 4 vegetarian sandwiches:

You can choose the remaining sandwiches from the remaining three varieties.

So the total number of purchases is:

1 choice for ham × 1 choice for chicken × 1 choice for egg salad × 3 choices for the remaining six sandwiches = 1 × 1 × 1 × 3⁶ = 3⁶ = 729 different purchases.

The total number of different purchases is the sum of the two possibilities: 16384 + 729 = 17113 different purchases.

(c) To bring back no more than three egg salad sandwiches, you can consider the following possibilities:

Selecting 0 egg salad sandwiches:

You can choose any of the other three varieties for all ten sandwiches. So the total number of purchases is:

3 choices for each sandwich × 10 sandwiches = 3¹⁰ = 59049 different purchases.

Selecting 1 egg salad sandwich:

You have 1 choice for the remaining nine sandwiches (ham, chicken, or vegetarian). So the total number of purchases is:

1 choice for ham × 1 choice for chicken × 1 choice for vegetarian × 1 choice for egg salad × 3 choices for the remaining nine sandwiches = 1 × 1 × 1 × 1 × 3⁹ = 3⁹ = 19683 different purchases.

Selecting 2 egg salad sandwiches:

You have 1 choice for the remaining eight sandwiches (ham, chicken, or vegetarian). So the total number of purchases is:

1 choice for ham × 1 choice for chicken × 1 choice for vegetarian × 2 choices for egg salad × 3 choices for the remaining eight sandwiches = 1 × 1 × 1 × 2 × 3⁸ = 2 × 3⁸ = 1458 different purchases.

Selecting 3 egg salad sandwiches:

You can choose the remaining sandwiches from the remaining three varieties. So the total number of purchases is:

1 choice for ham × 1 choice for chicken × 1 choice for vegetarian × 3 choices for egg salad × 3 choices for the remaining seven sandwiches = 1 × 1 × 1 × 3 × 3⁷ = 3⁸ = 6561 different purchases.

The total number of different purchases is the sum of the possibilities: 59049 + 19683 + 1458 + 6561 = 86751 different purchases.

(d) To bring back exactly three ham sandwiches, you can select three ham sandwiches and then choose the remaining sandwiches from the other three varieties.

The possibilities are:

Selecting exactly 3 ham sandwiches:

You have 1 choice for each of the other three varieties (chicken, vegetarian, and egg salad). So the total number of purchases is:

1 choice for chicken × 1 choice for vegetarian × 1 choice for egg salad × 1 choice for the remaining seven sandwiches = 1 × 1 × 1 × 3⁷ = 3⁷ = 2187 different purchases.

(e) To satisfy all of the conditions (a) to (d) above, you need to consider the intersection of the possibilities from each condition.

From condition (a), we have 4096 different purchases.

From condition (b), we have 17113 different purchases.

From condition (c), we have 86751 different purchases.

From condition (d), we have 2187 different purchases.

To satisfy all conditions, you need to consider the common possibilities in all the conditions. Therefore, you take the minimum number of different purchases from each condition, which is 2187 different purchases.

So, the total number of different purchases that satisfy all conditions is 2187.

Learn more about fundamental counting principal click;

https://brainly.com/question/32437345

#SPJ4

The three-digit numbers that are not divisible by 5 are 60.

Numbers to be divisible = Three digits = abc

Numbers are not divisible by = 0 and 5

Thus,

Now x ≠ 0 and x ≠ 5, whereas

x = 0 does not yield a three-digit integer and x = 5 yields a number divisible by 5.

Now, since sum should be less than 20, thus -

2x + y ≤ 20

where x can be 1, 2,3 or 4 and y can be 0-9. Hence

2x ≤ 10. Thus 10(4) = 40

Finding out the combinations -

When x = 6

12 + y ≤ 20, y ≤ 8 = Calculates 8 more numbers.

When x = 7

14 + y ≤ 20, y ≤ 6 = Calculates 6 more numbers.

When x = 8

16 + y ≤ 20, y ≤ 4 = Calculates 4 more numbers.

When x = 9

18 + y ≤ 20, y ≤ 2 = Calculates 2 more numbers.

Total numbers -

= 40 + 8 + 6 + 4 + 2

= 60

Read more about divisibility on:

https://brainly.com/question/9462805

#SPJ4

The runner completes a 10 miles race in 16 minutes.

According to the question we have been given that,

Runner takes 8 minutes to complete = 5 miles race

We need to find that if the runner is in the same pace then how many miles the runner completes in 16 minutes

This multi-step problem can be solved using the unitary method. That is,

              8 minutes = 5 miles

              1 minute = 5/8 miles          

             16 minutes = 5/8*16 miles

                                  = 5*2 miles

                                  = 10 miles

Hence runner completes a 10miles race in 16 minutes

Learn more about unitary method here : https://brainly.com/question/8083231

#SPJ9