Questions
1.  Prove that for any graph, the sum the degreesPv∈V deg(v) is twice the number of edges...

1.  Prove that for any graph, the sum the degreesPv∈V deg(v) is twice the number of edges |E|. (By “prove” I mean write a few sentences explaining why it is true.)

2. i) At a recent math seminar, 5 mathematicians greeted each other by shaking hands. Is it possible for each mathematician to shake hands with exactly 3 other people? (No one can shake his or her own hand.) To answer the question, please rephrase the problem as a problem about graphs (is there a graph with 5 vertices ...), state your answer, and then explain why you believe your answer.
ii) Write a conjecture about a more general statement. What do you think happens if we have N mathematicians and we want each to shake the hands of K other people?

3. A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet two inhabitants: Zoey and Mel. Mel says, “At least one of us is a knave,” but Zoey says nothing. Can you determine who is a knight and who is a knave?

In: Advanced Math

A 1200 kW, 550 V DC generator has a terminal voltage of 500 V at rated...

A 1200 kW, 550 V DC generator has a terminal voltage of 500 V at rated current. It is being driven at a speed of 400 rpm. The armature resistance is 0.0009 Ω.
a. Determine the armature voltage.
b. Determine the developed torque.
c. Determine the armature copper loss.

In: Electrical Engineering

(8) You have to prepare 250 mL of a 10% (v/v) of SDS solution, which is...

(8) You have to prepare 250 mL of a 10% (v/v) of SDS solution, which is a detergent commonly used to solubilize proteins. (a) How many mL of SDS will you pipet? (b) How much water will you add?

In: Chemistry

n the figure ε1 = 2.72 V, ε2 = 0.766 V, R1 = 6.82 Ω, R2...

n the figure ε1 = 2.72 V, ε2 = 0.766 V, R1 = 6.82 Ω, R2 = 1.61 Ω, R3 = 5.68 Ω, and both batteries are ideal. What is the rate at which energy is dissipated in (a) R1, (b) R2, and (c) R3? What is the power of (d) battery 1 and (e) battery 2?   

In: Electrical Engineering

Let V be a finite-dimensional vector space over C and T in L(V). Prove that the...

Let V be a finite-dimensional vector space over C and T in L(V). Prove that the set of zeros of the minimal polynomial of T is exactly the same as the set of the eigenvalues of T.

In: Advanced Math

Family V Family Background: Family V is composed of 8 members. Victor, the father, Venus, the...

Family V
Family Background:
Family V is composed of 8 members. Victor, the father, Venus, the mother who is currently 9 months pregnant to their 7th child, their children are AV, BV, CV, DV, EV, & FV. Victor is the head of the family and is 35 years old. Venus, his wife is 29 years old. Child AV, the eldest son is 11 years old, BV is a10 year old girl , CV is a 9 year old girl , DV is 7 years old while EV is 5 years old, both are boys, the youngest child is a 3 year old girl, FV. Victor was born in Purok Daan and grew up in the same place. His father was a farmer and while his mother was a plain housewife. He is the eldest among 12 siblings. He was only able to finish Grade 4 level. He did not continue going to school in order to help his parents to earn money for their daily needs.
Venus was born and grew up in Malung. Her father is a farmer and her mother is a housewife too. She has 2 siblings. She was able to go to school and graduated elementary school. She did not continue schooling due to financial constraints. Instead she helped her parents in doing household chores and finding means to earn money for their household. No familial history of diseases were noted in both sides.
The family has frequently changed places of residences. They have been in Mindoro, for 5 years and then they stayed in Batangas for 3 years. Victor and Venus always discuss matters between them when they are to make decisions for their family. They consult each other in terms of planning the budget for their family. They make sure that they discuss all matters together which includes children’s school expenses,
problems that bother each one of them, either emotionally or psychologically. Each time a situation or problem arises, they make sure that they both try to solve the problem. However, all matters concerning health of the members of the family, it is Venus who dominantly makes the decision. She makes sure that compliance to the appropriate management about certain health issues arise. She has greater awareness concerning health matters than Victor. Though at present she has not been to any OB check-up even if she is aware that she needs it due to the distance of the clinic or hospital even the health center from their home. She also believes that it is part of her duty as the mother. These health matters include immunization, feeding the right food and caring for the sick member. Since she is pregnant, she however, ask assistance from their eldest (when he is available) in taking care of their youngest whenever she is doing the household chores.
Socio-Economic Background
The Viktor family’s main source of income is coming from Victor’s farming. He earns about Php 10,000.00 a month. Venus, being a plain housewife, had been in charge of the house and in taking care of the children. Venus budgets the money for food, education and miscellaneous expenses like clothes, shoes/slippers. Most of Victor’s earnings goes to the family’s budget for food. The children go to school for free and they walk from their house to school and only occasionally spends for some school supplies. Usually, there is nothing to be left to be spent for other miscellaneous needs. With Victor’s monthly income, the family strives hard to make both ends meet. Venus also admitted to the student nurse that they do not have savings at hand, which can be used for her giving birth, which is due within this month, much more during an emergency. They typically borrow money from their relatives when a certain situation comes. However, Mrs Venus verbalized in a worried voice that she is not sure if any of their relatives are going to lend them money for her giving birth specially now that all is experiencing the pandemic.
As a farmer, Victor works from 3 am until 8 pm every day. He seldom goes home but rather stays in the farm, which is situated far away from the family’s house. Venus typically performs house chores, which includes washing clothes, preparing meals, keeping the house and the yard clean and helping their children with their schooling. Sometimes, she has to go out for some errands as well because she said that she is the only adult who can do that and is allowed by the rules in their community. “ I had to do things even if I
find it difficult and dangerous with my present condition because I had to and because my children are still too young to do what I do. So I had to do all the chores.”
All of the members of the family observe Protestant practices. Venus mentioned that they do not go to church anymore due to its distance from their house. Mrs. Viktor further added, “besides, it is hard for me to move around much more take a long walk or travel more often cause of my condition, I get tired so easily lately.” The Viktor family barely enjoys the community resources since the community does not have enough resources as well. Though, the children go to Purok Daan Elementary School attending blended learning on facial masks and basic school uniform.
The family’s water source is from the river which they mainly use for washing clothes. There is also a shallow well built within the river where the family gets their drinking water, most of the time. However, when they get lazy in fetching water from the well, there is a public tap water available from a faucet a few meters away from their house but payment is needed everytime they get water from here. It costs them 20 pesos per container; the reason why they opted to go for the water from the well.
Home and Environment
The house that they are staying in is made of wood and bamboo. The house only has 2 windows that are good enough to provide adequate ventilation needed by the family. Venus mentioned to the student nurse that their house is usually “presko” since it is beside the river and the air freely passes through inside the house.
The house is divided into 2 rooms. One is the sala/dining room rolled into one while the other room is considered their sleeping area, with no bed at all, which apparently is taking toll on Mrs. Viktor lately as she is experiencing lower back pains and more leg pains upon waking up in the morning due to the uncomfortable sleeping area they have for a pregnant woman like her. She further noted, “the bamboo flooring which are uneven in its nature is the one causing all these pains I am having.” In addition, all the members of the family sleep in together having not enough room to really feel comfortable to sleep in any position. “We are usually cramped up together to make us occupy the small space for all of us sleeping together.” They use “banig” laid on the floor to just ward off some insects from under their house that gets in from inbetween opening of the bamboo flooring they have but Mrs. Viktor said, “but this is not really successful in warding off the pests. In fact at times roaches or rodents crawl in on us while we are sleeping, aside from the mosquitoes that are present both inside and outside our house, biting us anytime of the day.” The Viktor Family owns only one appliance which is the radio powered by batteries since the place has no supply of electric current yet. There is no other means of information and communication outside their world but that radio and the news that Mr. Viktor would bring the family or the updates the children learn from school or from their classmates.
For the garbage disposal, they either bury or burn their garbage. Venus uses wood and charcoal in cooking. She is the one who prepares the food. She cooks inside the house at the back portion. They often eat fish and vegetables. The family uses plastic plates and stainless spoons in eating. In storing their left over food, they just cover it with another plate. The family is equipped with pots, “sandok”, and knives. The river is the family’s main source of water both for drinking and washing their clothes. The drinking water is stored/ kept in a big container with cover. They usually don’t go and get water from the faucet located in the barangay hall in the purok since it is far from their house and will cost them money as well. They prefer getting their water supply from the river, however they drink it without “sterilizing” or putting it into a boil. Viktor Family has no comfort room. They usually urinate and defecate in an empty/ vacant lot within the vicinity near their house. They have not yet built their own comfort room since, Venus stated that they do not have enough budget to spend for it yet. The family has an open type of drainage system, where in the “sink water” flows anywhere and is continuous. It is dirty and has a stinky smell and serves as the home for mosquitoes. The student nurse found food debris that has been washed off from the plates outside the house where the drainage flows. Such attracts roaches, flies and other pests like ants and rats.
Questions:
Make a Family Nursing Care Plan
1. Supporting cues (Subjective and Objective cues)
2. Health condition or problem (State the most prioritized problem / Rank 1)
3. Family nursing problems
4. Goal of care
5. Objectives of nursing care
6. Nursing interventions
7. Method of family contact
8. Evaluation (outcomes/tools)

Thank you!

In: Nursing

The fundamental vibrational transition of the 12C16O in the electronic ground state from v=0 to v=1...

The fundamental vibrational transition of the 12C16O in the electronic ground state from v=0 to v=1 occurs at 2,170 cm-1. The bottom of the Morse potential for the anharmonic oscillator is well approximated by a parabola, the potential well for the harmonic oscillator, especially when the transition is measured with precision limited to 1 cm-1. a) Demonstrate that, in the harmonic oscillator approximation of the IR spectroscopy, the frequency of the fundamental transition is equal to the frequency of the oscillator in the zero energy state. b) What is the elastic force constant k of the 12C16O bond in the harmonic oscillator approximation? (Hint: you have to use the reduced mass of the diatomic oscillator. A12C = 12.000 amu, A16O = 15.995 amu, 1 amu = 1.6605 x 10-27 kg, c = 2.9979x108 m s-1) c) The first overtone of the 12C16O occurs at 4,260 cm-1. Compare this frequency against the fundamental frequency and state 2 points of departure from the harmonic oscillator results predicted by Quantum Mechanics.

In: Chemistry

Solve y'(0)=Ay y(0) =v A=(7,-5;10,-8) v=(2;3)

Solve y'(0)=Ay y(0) =v A=(7,-5;10,-8) v=(2;3)

In: Advanced Math

Problem 4. (10 pts) Voltage amplifiers are available with Avoc = 8 V / V, Rin...

Problem 4. (10 pts) Voltage amplifiers are available with Avoc = 8 V / V, Rin = 1.8 kΩ, Ro = 850Ω. With a 12V DC power source, each amplifier consumes 1.5 mA average current.

a.how many amplifiers does it need to connect a cascade to obtain at least gain a voltage of 1000 with a load resistance of 1.0kΩ?

b. What is the voltage gain Av obtained? (Answer with a whole number rounded)

c. For the cascade connection, find the open circuit voltage gain. (Respond with a rounded integer)

d. If you have a 1.5 mV input, What is the efficiency of the equivalent amplifier?

e. Find the transconductance of the entire circuit.

In: Electrical Engineering

Mrs. Mallard's feelings about her husband's death on the "Story of an Hour" are what type...

Mrs. Mallard's feelings about her husband's death on the "Story of an Hour" are what type of conflict?

1- internal

2- external: man v. society

3- external: man v.nature ,god, or fate

4- external: man v. man

What type of conflict is Mrs. Mallard's death?

1- internal

2- external: man v. society

3- external: man v.nature ,god, or fate

4- external: man v. man

In: Nursing