(Euler's Theorem, 5pt) What is the last digit of 7^8984392344350386 (in its decimal expansion)? Explain how you did it. Hint: can you reexpress "last digit" more mathematically, so you can apply Euler's theorem? Hint 2: you can do this whole problem in your head. No calculator required, just thinking.

OpenShift can benefit the following applications;

Red Hat created the OpenShift container platform, which offers a wide range of tools and functionality for setting up, running, and scaling applications.

In general, OpenShift provides a robust and adaptable platform for a variety of applications, supporting current software development methodologies and simplifying deployment in different contexts.

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All forces are pulling away from the thing when it is in tension. The pressures on the material push towards the direction of the body during compression.

A rope bridge can support both itself and its weight thanks to tension forces that pull and stretch material in opposing directions. Arch bridge rocks are forced to press against one another in order to support the weight due to compression pressures that squeeze and push material inward. Members can only be in compression or tension. When anything is under stress, all forces are repelled from it. When a material is compressed, the forces acting on it cause it to move in the direction of the body. Pulling on the ends of the object will increase the tension. All forces are pulled away from the object under tension, which is related to shifting the body's borders toward the centre. The pressures on the material push towards the direction of the body during compression.

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Answer:

b. A view of a building seen from one side, a flat representation of one façade. This is the most common view used to describe the external appearance of a building.

Explanation:

An elevation is a three-dimensional, orthographic, architectural projection that reveals just a side of the building. It is represented with diagrams and shadows are used to create the effect of a three-dimensional image.

It reveals the position of the building from ground-depth and only the outer parts of the structure are illustrated. Elevations, building plans, and section drawings are always drawn together by the architects.

A drawing’s title block is a unique area reserved at the bottom or on the right-hand side of a drawing sheet. It carries critical information about the project, which can include the drawing number, the name of the company, date, scale, and the name of the person or organization responsible for creating the drawing. 

Sheet title, company logo, drawing number, and revision block are some of the critical information that can help to identify the project.In the first place, the sheet title is the primary heading of a drawing. It provides information on what the drawing is about. In addition, the company logo also appears on the title block. The logo serves as a way of branding and showing who created the drawing. Furthermore, the drawing number is a unique number that identifies the drawing in the company’s database, and the revision block is a section of the title block that records all the changes made to the drawing.The revision block is a critical part of the title block because it helps to track changes made to the drawing. Therefore, it contains information on the person who made the change, the date of change, and the reason for the change. In conclusion, the title block is a critical section of any drawing because it provides vital information about the drawing, which includes identifying the project and its version control.

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Answer:

\(w_{out}=319.1\frac{BTU}{lbm}\)

Explanation:

Hello,

In this case, for the inlet stream, from the steam table, the specific enthalpy and entropy are:

\(h_1=1456.0\frac{BTU}{lbm} \ \ \ s_1=1.6413\frac{BTU}{lbm*R}\)

Next, for the liquid-vapor mixture at the outlet stream we need to compute its quality by taking into account that since the turbine is adiabatic, the entropy remains the same:

\(s_2=s_1\)

Thus, the liquid and liquid-vapor entropies are included to compute the quality:

\(x_2=\frac{s_2-s_f}{s_{fg}}=\frac{1.6313-0.39213}{1.28448}=0.965\)

Next, we compute the outlet enthalpy by considering the liquid and liquid-vapor enthalpies:

\(h_2=h_f+x_2h_f_g=236.14+0.965*933.69=1136.9\frac{BTU}{lbm}\)

Then, by using the first law of thermodynamics, the maximum specific work is computed via:

\(h_1=w_{out}+h_2\\\\w_{out}=h_1-h_2=1456.0\frac{BTU}{lbm}-1136.9\frac{BTU}{lbm}\\\\w_{out}=319.1\frac{BTU}{lbm}\)

Best regards.

ᴄᴏᴍᴘʟᴇᴛᴇɴᴇꜱꜱ ᴍᴇᴀɴꜱ ᴛʜᴇ ꜱᴛᴀᴛᴇ ᴏꜰ ʙᴇɪɴɢ ᴄᴏᴍᴘʟᴇᴛᴇ ᴀɴᴅ ᴇɴᴛɪʀᴇ; ʜᴀᴠɪɴɢ ᴇᴠᴇʀʏᴛʜɪɴɢ ᴛʜᴀᴛ ɪꜱ ɴᴇᴇᴅᴇᴅ.

ʙᴇᴀᴜᴛʏ ᴍᴇᴀɴꜱ combination of qualities, such as shape, colour, or form, that pleases the aesthetic senses, especially the sight.

Answer:

Minimum electrical power required = 3.784 Watts

Minimum battery size needed = 3.03 Amp-hr

Explanation:

Temperature of the beverages, \(T_L = 36^0 F = 275.372 K\)

Outside temperature, \(T_H = 100^0F = 310.928 K\)

rate of insulation, \(Q = 100 Btu/h\)

To get the minimum electrical power required, use the relation below:

\(\frac{T_L}{T_H - T_L} = \frac{Q}{W} \\W = \frac{Q(T_H - T_L)}{T_L}\\W = \frac{100(310.928 - 275.372)}{275.372}\\W = 12.91 Btu/h\\1 Btu/h = 0.293071 W\\W = 12.91 * 0.293071\\W_{min} = 3.784 Watt\)

V = 5 V

Power = IV

\(W_{min} = I_{min} V\\3.784 = 5I_{min}\\I_{min} = \frac{3.784}{5} \\I_{min} = 0.7568 A\)

If the cooler is supposed to work for 4 hours, t = 4 hours

\(I_{min} = 0.7568 * 4\\I_{min} = 3.03 Amp-hr\)

Minimum battery size needed = 3.03 Amp-hr

The discrepancy between experimental and theoretical entropy values can be used to determine residual entropy.

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Here's an example of a C language code for a ternary tree. Please note that this code is for a simple ternary tree and does not include functions for more complex operations.```

#include
#include
struct node
{
   int data;
   struct node *left;
   struct node *middle;
   struct node *right;
};
struct node *create()
{
   int x;
   struct node *newnode;
   newnode=(struct node *)malloc(sizeof(struct node));
   printf("\nEnter data(-1 for no data):");
   scanf("%d",&x);
   if(x==-1)
   {
       return 0;
   }
   newnode->data=x;
   printf("\nEnter left child of %d:",x);
   newnode->left=create();
   printf("\nEnter middle child of %d:",x);
   newnode->middle=create();
   printf("\nEnter right child of %d:",x);
   newnode->right=create();
   return newnode;
}
void display(struct node *root)
{
   if(root==NULL)
   {
       return;
   }
   printf("%d->",root->data);
   display(root->left);
   display(root->middle);
   display(root->right);
}
int main()
{
   struct node *root;
   root=0;
   root=create();
   printf("\nThe ternary tree is:\n");
   display(root);
   return 0;
}
```This code creates a ternary tree with three child nodes: left, middle, and right.

The create() function asks the user for input and recursively creates the nodes until the user enters -1.

The display() function prints out the tree in preorder traversal (root, left, middle, right).

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The peak frequency deviation, minimum bandwidth, and baud for a binary FSK signal for the given frequencies are respectively;

a) 0.5 kHz

b) 9 kHz

c) 4000

1) The peak frequency deviation is gotten from the formula;

∆f = |f_m - f_s|/f_b

where;

Thus;

∆f = |38 - 40|/4

∆f = 0.5 kHz

2) The minimum bandwidth is given by the formula;

B = 2(∆f + f_b)

B = 2(0.5 + 4)

B = 9 kHz

3) For FSK signal, N = 1, and the baud is gotten from the Equation;

baud = f_b/1

f_b = 4 kbps = 4000 bps

Thus; baud = 4000/1 = 4000

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Answer:

The correct option is A

Explanation:

Thermoplastics are polymers that can be recycled. They can be melted with heat and moulded into any shape which becomes hard when cooled. The heat applied to it in the process of recycling does not affect its chemical composition.

There are two main classes of thermoplastics; semi-crystalline and amorphous.

An amorphous thermoplastic has a disorderly arranged molecular structure which makes it difficult to have a definite melting temperature (Tm). However, a semi-crystalline thermoplastic has a well arranged molecular structure which makes it melt after a certain/definite amount of heat is absolved. Hence, the correct answer is A

Answer:

Hello your question is incomplete attached below is the complete question

answer :

I) P = t/R * 492.85

II) The final equation : PR / t  + 4M/πR3 =  б e

Explanation:

attached below is a detailed solution to the given problem

i) P = t/R * 492.85

ii) Final equation : PR / t  + 4M/πR3 = б e

The probability that a rivet is defective is 0.0202 and  the smallest value of p that ensures that only 119 of all seams need reworking is approximately 0.0018

(a) If 1696 of all seams need reworking, we can use the complement rule to find the probability that a rivet is defective. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. So, if the probability that all 20 rivets are not defective (i.e., the seam is not defective) is 0.8496, then the probability that at least one rivet is defective is:

P(defective rivet) = 1 - P(no defective rivet)

P(defective rivet) = \(1 - 0.8496^{(1/20)\)

P(defective rivet) = 0.0202

Therefore, the probability that a rivet is defective is 0.0202, or approximately 0.0202.

(b) Let p be the probability of a defective rivet. We can use the binomial distribution to find the probability that 119 or fewer of all seams need reworking. The binomial distribution models the number of successes in a fixed number of independent trials, where each trial has the same probability of success.

The number of defective rivets in a seam follows a binomial distribution with n = 20 and p = the probability of a defective rivet. The probability that k seams need reworking is:

P(k seams need reworking) =\(C(1696, k) * p^k * (1 - p)^{(1696 - k)\)

We want to find the value of p such that P(k ≤ 119) = Σ P(k seams need reworking) is at least 0.5. This is equivalent to finding the smallest value of p such that:

\(\sum C(1696, k) * p^k * (1 - p)^{(1696 - k)} \geq 0.5\), where the sum is taken from k = 0 to 119.

This equation cannot be solved analytically, so we must use numerical methods to find p. One way to do this is to use a bisection algorithm, which repeatedly narrows down the possible range of p until we find the smallest value of p that satisfies the equation.

Using this method, we can find that the smallest value of p that ensures that only 119 of all seams need reworking is approximately 0.0018, or 0.18%.

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Answer:

Following are the program to the given question:

#include <stdio.h>//header file

double square_root(double N, double initialGuess)//defining a method square_root that takes two variable in parameters

{

double NG, LG = initialGuess,diff;//defining double variable

while(1)//use loop to calculate square root value

{

NG = 0.5 * (LG + N / LG);//using given formula

diff = NG - LG;//calculating difference

if(diff < 0)//use if to check difference is less than 0

diff = -diff;//decreaing difference

if(diff < 0.005)//use if that check difference is less than 0.005

break;//using break keyword  

else//defining else block

{

LG = NG;//holding value

}

}

return NG;//return value

}

int main()//defining main method

{

double ans, n,initialguess = 1.0;//defining double variable

n = 4;//use n to hold value

ans = square_root(n, initialguess);//calculating the square root value and print its value

printf("square_root(%lf) = %lf \n", n, ans);//print calculated value with number

n = 120.5;//use n to hold value

ans = square_root(n, initialguess);//calculating the square root value and print its value

printf("square_root(%lf) = %lf \n", n, ans);//print calculated value with number

n = 36.01;//use n to hold value

ans = square_root(n, initialguess);//calculating the square root value and print its value

printf("square_root(%lf) = %lf \n", n, ans);//print calculated value with number

n = 0.25;//use n to hold value

ans = square_root(n, initialguess);//calculating the square root value and print its value

printf("square_root(%lf) = %lf \n", n, ans);//print calculated value with number

printf("\nEnter a number: ");//print message

scanf("%lf", &n);//input value

ans = square_root(n, initialguess);//calculating the square root value and print its value

printf("square_root(%lf) = %lf \n", n, ans);//print calculated value with number

}

Output:

Please find the attachment file.

Explanation:

Answer:

A four cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise

Explanation:

snap chat mlockmiller20,

Answer:

Q = [ mCp ( ΔT) ] \(_{cooling water }\)

(ΔT)\(_{cooling water}\) and  Q  is given

\(m_{cooling water}\)  = \(\frac{Q}{Cp[ T_{out} - T_{in} ] }\)

next the rate of condensation of the steam

Q = [ m\(h_{fg}\) ]\(_{steam}\)

  \(m_{steam} = \frac{Q}{h_{fg} }\)

Total resistance of the condenser is

R = \(\frac{Q}{change in T_{cooling water } }\)

Explanation:

How will the rate of condensation of the steam and the mass flow rate of the cooling water can be determined

Q = [ mCp ( ΔT) ] \(_{cooling water }\)

(ΔT)\(_{cooling water}\) and  Q  is given

\(m_{cooling water}\)  = \(\frac{Q}{Cp[ T_{out} - T_{in} ] }\)

next the rate of condensation of the steam

Q = [ m\(h_{fg}\) ]\(_{steam}\)

  \(m_{steam} = \frac{Q}{h_{fg} }\)

Total resistance of the condenser is

R = \(\frac{Q}{change in T_{cooling water } }\)

Answer:

She wrote and delivered a speech in 1873, which came to be known as the “Women's Rights to the Suffrage” speech. In her address, she lets the audience know of her “crime” of voting. She reminds the listener that the Constitution of the United States says “we the people” and does not exclude women as people

Answer:

D. To show why she was justified in voting.

Explanation:

The pressure needed at point (1) to produce the flow where water "bubbles up above the exit of the vertical pipe attached to three horizontal pipe segments is 0.750 psi.

The Bernoulli's equation for incompressible fluid can be given as,

\(P_1+\dfrac{1}{2}\rho v_1^2+\rho gh_1=P_2+\dfrac{1}{2}\rho v_2^2+\rho gh_2\)

Here, ρ is density of fluid, g is acceleration due to gravity, (P) is the pressure v is velocity, h is height of elevation and subscript (1 and 2) is used for point 1 and 2.

Water "bubbles up" h2 = 9 in.  Above the exit of the vertical pipe attached to three horizontal pipe segments.

The total length of the 1.75-in.- diameter galvanized iron pipe between point (1) and the exit is 21 inches. h3 = 18 in.

Reynolds number is,

\(R_e=\dfrac{V_3D}{v}\\R_e=\dfrac{4.01\dfrac{0.75}{12}}{1.21\times10^{-15}}\\R_e=2.07\times10^4\)

The formula for the ratio of pressure to radius, when pressure and velocity at point 2 is zero can be given as,

\(\dfrac{p_1}{r}=z_2\left(f\dfrac{l}{d}+\sum k_L\right)\dfrac{v^2}{2g}-\dfrac{v_1^2}{2g}\)

Here, f=0.039 and ∑K(L)=4.5. Put the values,

\(\dfrac{p_1}{r}=\dfrac{7}{12}\left(0.03\dfrac{21}{0.75}+4.5-1\right)\dfrac{4.01^2}{2\times32.2}\\\dfrac{p_1}{r}=1.73\rm\; ft\)

Put the value of r we get,

\(p_1=62.4\times1.73\\p_1=108\rm\; ib/ft^2\\p_1=0.750\rm\; psi\)

The pressure needed at point (1) to produce the flow where water "bubbles up above the exit of the vertical pipe attached to three horizontal pipe segments is 0.750 psi.

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The statement given "over 230,506 people were injured in motor vehicle traffic crashes in 1907." is false because In 1907, motor vehicles were not as prevalent as they are today, and the number of traffic crashes and resulting injuries was significantly lower compared to the present time.

The development and widespread use of automobiles started in the early 20th century, and it took several decades for the number of vehicles on the road and associated accidents to increase. Accurate statistical data on motor vehicle traffic crashes and injuries in 1907 may not be readily available, but it is highly unlikely that over 230,506 people were injured in motor vehicle traffic crashes during that year.

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The wires at positions A and B support a pin with a diameter of d from which the tube hangs. A hollowed square with an inner dimension of 8.5 inches makes up the cross section.

In mathematics, a dimension is the length or width of an area, region, or region in one direction. It is just the measurement of an object's length, width, and height. In general, dimensions are written as follows: length, breadth.

We exist in a three-dimensional universe. The homes we live in and the items we use on a daily basis all have three components: length, length, and width.

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Answer:

Explanation: Here it is: 67 Hope that helps! :)

Retailers can respond to consumer buying patterns through data analysis. Retailers can use a Point-of-Sale (POS) system to record transactions that take place in-store. This transactional data, when analyzed and evaluated, will help retailers make informed business decisions based on consumer buying patterns.

POS stands for Point of Sale. It is a retail system that captures customer transactions and manages inventory in a store. POS allows merchants to manage their inventory levels, increase productivity, monitor sales trends, and track customer preferences. Data analysis refers to the process of interpreting, organizing, and evaluating data in order to obtain helpful insights. It is used to uncover patterns and trends in data sets, making it easier to identify correlations and draw conclusions.  Data analysis is critical in the retail industry because it aids in the identification of customer needs and wants, allowing merchants to react quickly to consumer buying patterns. By evaluating transactional data, retailers can monitor the profitability of various items and make decisions about restocking, pricing, and promotions.

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Answer:

YES

Explanation:

NO

;-;

An agrarian and handicraft economy was replaced by one that was dominated by industry and machine manufacturing during the Industrial Revolution in modern history. The world as a whole was affected by this process after it started in Britain in the 18th century.

These first three industrial revolutions shaped our contemporary society. The world we live in underwent a fundamental transformation with the advent of each of these three innovations: the steam engine, the age of science and mass production, and the rise of digital technology. And right now, it's taking place once more, for the fourth time.

The term is frequently used to describe emerging technologies, or those expected to become available in the next five to ten years. It is typically reserved for technologies that are having, or are anticipated to have, significant social or economic effects.

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Answer:

2D CAD Software Application

Explanation:

Two Dimensional Computer-Aided Design Software Application is otherwise known as 2D CAD software application such as AutoCAD or MicroStation is used to change physical objects and 3-D ideas into a 2-D drawing that effectively describe the design and features of an object, so the object can be documented and manufactured.

The utilization of a 2D CAD software application saves time and revision to construction drawings can quickly be made without having to redesign the whole drawings from the scratch.

If lift and duration remain constant and the lobe center angle decreases, Option A: the valve overlap decreases.

Valve overlap refers to the duration when both the intake and exhaust valves are simultaneously open in the course of the engine's cycle.

The timing of valve opening and closing with respect to one another is dictated by the angle of the center of the lobe. If the angle of the center of the lobe diminishes, the opening and shutting of the valves will occur more proximately, leading to a reduction in the duration of valve overlap.

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Answer:

Both technicians are correct.

Explanation:

a. The rate of combustion of diesel as a fuel by diesel engines is lower compared to a gasoline engine. So if the two types of engine are operated with the same litre of fuel and for the same period, the gasoline engine would consume more fuel. Thus, a diesel engine would consume less fuel per mile than a gasoline engine.

b. Diesel engines are more powerful engine compared to a gasoline engine. They are used where a great amount of force is required. So that compared to a gasoline engine of the same size, a diesel engine would provide more torque.

Therefore, the two technicians are correct as regards their statements.

Answer:

Employees may request a separate closing conference without the employer present.

Explanation:

it’s basically the answer lol