The recommended dose of aminophylline for children is 1.0 mg/kg/hr. 15 mL of a 30 mg/mL sltn is added to a 150 mL bottle of D5W. At what rate mL/hr should the injection be delivered to 35 lb child

Answers

Answer 1

Answer:

The answer is "6.68 [tex]\frac{ml} {hr}[/tex]".

Explanation:

It's going to be 18.18 kg to turn body mass to kg.  

Size 1mg / kg / hr, therefore = 1 x 18.18

                                               = 18.18 kg / hr  

now we adding 30 mg / ml of dextrose = 30 x 15

                                                                 [tex]=\frac{450mg}{15 ml +150 ml}[/tex]

of dextrose, from 15 ml to 150 ml;  

Therefore, now 450 mg in 165m:    

[tex]= \frac{ 450}{165}\\ \\=2.72 \frac{mg} {ml}[/tex]  

now divide the   18.18 by 2.72:

[tex]=\frac{18.18}{2.72}[/tex]

= 6.68 [tex]\frac{ml} {hr}[/tex]


Related Questions

PLEASE HELP WILL GIVE BRAINLIEST!!!!
If the concentration of substance A of a reversible reaction in dynamic equilibrium increases, how will the equilibrium change?
A. It will shift to create more of substance A.
B. It will shift towards the reactants.
C. It will shift towards the products.
D. It will shift to create less of substance A.

Answers

Answer:

[tex]\boxed{It\ will\ shift\ to\ create\ less\ of\ substance\ A}[/tex]

Explanation:

If the concentration of any substance A in a dynamic equilibrium increases, The equilibrium will be  shifted to its opposite side so that Substance A can be created less and the substance opposite to A can be created more so that a "dynamic equilibrium" can again be established.

Please help me...

Atoms of elements X, Y and Z have 16, 17 and 19 electrons, respectively. Atoms of argon have 18 electrons.

a Determine the formulae of the compounds formed by the combination of the atoms of the elements:
(i) X and Z
(ii) Y and Z
(iii) X with itself.

b In each of the cases shown in
A (i)–(iii) above, name the type of chemical bond formed.

c Give two properties you would expect to be shown by the compounds formed in an (ii) and an (iii).

Answers

Answer:

a 1) XZ2

2) YZ

3) X2

b 1) Ionic bond

2) Ionic bond

3) covalent bond

c) ionic compounds has high melting and boiling point

ionic compounds can conduct electicity in aqueous form

covalent compounds have electrons shared between the atoms

covalent compounds have lower melting point compared to ionic compound

Answer:

(i) XZ = Potassium Sulfide [K2SO4]

(ii) YZ = Potassium Chloride [KCI]

(iii) X = Sulfur [S]

b) (i) Ionic Bond. (ii) Ionic Bond. (iii) Covalent Bond.

c) (i) Ionic compounds have high melting and boiling points.

(ii) Ionic compounds can conduct electricity in a molten state or a solution as they have ions that can move and carry charge.

(iii) Covalent compounds have low melting and boiling points.

(iv) Covalent compounds can not conduct electricity as all electrons are involved in bonding so there are no free electrons or ions to carry the charge.

Hope this is OK :))

Please mark me as Brainliest:))

Complete this sentence. If mass remains the same while the volume of a substance ________, the density of the substance will_______________.

Answers

Answer:

If mass remains the same while the volume of a substance changes, the density of the substance will also change.

Answer:

BELOW

Explanation:

If mass remains the same while the volume of a substance decreases the density of the substance will increase.

explain why ply(ethene) can become a pollutant? ​

Answers

Answer:

ipotseeeeeeeeeeeeeeee

BRAINLIEST!!! ❣


How do scientists use ice to study ancient climates?


A. through glacial deposits and ice cores

B. through glacial deposits and ice ages

C. through ice cores and pollen grains

D. through pollen grains and ice ages



Which greenhouse gas is produced by commercial refrigeration and air conditioning systems?


A. carbon dioxide

B. fluorinated gas

C. nitrous oxide

D. methane

Answers

Q1. A.

Q2. Nitrous oxide

Hope this helped ♥︎

Explanation:

the first question's answer is a

the second question's answer is c

Using complete sentences, explain how to predict the products and balance the reaction between sulfuric acid and potassium hydroxide. H2SO4 + KOH ⟶

Answers

Answer:

The answer to your question is given below.

Explanation:

The reaction of sulfuric acid and potassium hydroxide is called neutralisation.

Neutralisation is a reaction involving an acid and a base which produces salt and water only.

For the react between sulfuric acid, H2SO4 and potassium hydroxide, KOH, we can predict the products obtained as follow:

H2SO4 + KOH —>

In solution, H2SO4 and KOH will dissociate as follow:

H2SO4(aq) —> 2H^+(aq) + SO4^2-(aq)

KOH(aq) —> K^+(aq) + OH^-(aq)

H2SO4 + KOH —>

2H^+(aq) + SO4^2-(aq) + K^+(aq) + OH^-(aq) —> K^+(aq) + SO4^2-(aq) + 2H^+(aq) + OH^-

H2SO4 + KOH —> K2SO4 + H2O

Now, we can balance the above equation as follow:

H2SO4 + KOH —> K2SO4 + H2O

There are 2 atoms K on right side and 1 atom on the left side. It can be balance by writing 2 in front of ko as shown below:

H2SO4 + 2KOH —> K2SO4 + H2O

There are 2 atoms of H on the right side and a total of 4 atoms on the left side. It can be balance by writing 2 in front of H2O as shown below:

H2SO4 + 2KOH —> K2SO4 + 2H2O

Now,the equation is balanced.

Answer:

Given the reactants, H2SO4 and KOH, we are asked to determine the product(s) of the reaction. Since H2SO4 is an acid and KOH is a base. This is a neutralization reaction, thus, the products are salt and water.  

So, H+ from H2SO4 will react with OH- from KOH forming H2O. K+ will also react with SO4 2- forming K2SO4. Therefore, the balanced reaction will be:

H2SO4 + 2KOH ---> K2SO4 + 2H2O

Explanation:

What is the atomic number of neon?

Answers

Answer:

the atomic number of a neon is 10

what is mean by stakeholder​

Answers

Answer:

a stakeholder is a party that has an interest in a company and can either effect or be affected by the business. the primary stakeholder in a typical corporation are its investors , employees, customers and supplies.

If a gas displays a solubility of 0.00290M at a partial pressure of 125 kPa, what is the proportionality constant for this gas in this solvent and at this temperature?

Answers

Answer:

The proportionality constant ( Henry’s constant) = 2.32 * 10^-5 M/kPa

Explanation:

Here in this question, we are concerned with calculating the proportionality constant for this gas.

Mathematically, we can get this from Henry law

From Henry law;

Concentration = Henry constant * partial pressure

Thus Henry constant = concentration/partial pressure

Henry constant = 0.00290 M/125 kPa = 2.32 * 10^-5 M/kPa

What is the colour formed when N2O is bubbled into a solution of acidified FeSO4​

Answers

The color formed when N2O is bubbled through Feso4 is = reddishbrown

Question #13
What causes the low pressure zones around the equator?
Hint: How does air move at a low pressure zone? Why does
air move that way? What happens at the equator that would
cause air to move that way?

Answers

Answer:

Warm equatorial air rises higher into the atmosphere and migrates toward the poles. This is a low-pressure system. At the same time, cooler, denser air moves over Earth's surface toward the Equator to replace the heated air. ... This happens because Earth's rotation generates what is known as the Coriolis effect

using methyl ,phenolphthalein and litmus name an acid

Answers

Answer:

These are two types of indicators which show a solution is either an acid a natural or an alkali solution

Explanation:

Hope this helps :)

How would a decrease in volume affect the following reaction? N2 (g) + O2 (g) Two arrows stacked on top of each other. The top arrow points to the right. The bottom arrow points to the left. 2NO(g) (1 point) The equilibrium would shift to the right. The equilibrium would shift to the left. There would be no change to equilibrium. The affect on equilibrium cannot be determined.

Answers

Answer:

Explanation:

                        N₂(g) + O₂(g) ⇄ 2NO( g )

We shall apply Le Chatelier's principle to see the effect of decrease in volume or increase in concentration on the effect of state of equilibrium in the reaction given .

In this reaction 1 volume of nitrogen gas reacts with 1 volume of oxygen to give 2 volume of NO gas . In total there is no change in volume due to reaction . So when we change the volume , the concentration of reactant and product will affect the rate of forward and reverse reaction . Overall there will be no change in the state of equilibrium . The equilibrium will neither shift to the right nor will shift to the left.

It will remain unchanged .

Which of the following processes is exothermic? Group of answer choices Allowing meat to thaw after taking it out of the freezer Popsicle melting on a warm summer day Boiling water in a beaker to convert it to steam Rolling a ball up a hill Reacting hydrogen and oxygen gases to make water

Answers

Answer:

Reacting hydrogen and oxygen gases to make water

Explanation:

Exothermic means that energy is released into the environment, so let's go through the process of elimination.

Allowing meat to thaw after taking it out of the freezer - NO it is endothermic, and takes energy/heat from the environment to thaw.

Popsicle melting on a warm summer day - NO also endothermic, the opposite of exothermic.

Boiling water in a beaker to convert it to steam - NO because we need to add heat, so it doesn't release any energy.

Rolling a ball up a hill - NO, for a ball to roll up a hill, it needs energy from something else, so it's not exothermic.

Reacting hydrogen and oxygen gases to make water - YES this reaction makes new bonds, which releases energy, so this is exothermic.

Among the following choices reacting hydrogen and oxygen gases to make water is an exothermic reaction as it releases energy as new bonds are formed.

What is an exothermic reaction?

An exothermic reaction is defined as a chemical reaction which involves release of energy in the form of light,heat .In these reactions, energy is transferred from system to surroundings rather than taking energy from surroundings into system as in endothermic reactions.

In an exothermic reaction,change in enthalpy is negative.Therefore, it can be inferred that net amount of energy which is required to start the exothermic reaction is less than the net amount which is released by the reaction.

Examples of exothermic reactions are combustion reactions, detonation of nitroglycerin , neutralization reactions and nuclear fission.

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3.87 moles of iron bromide yielded10.4 moles of sodium bromide

Answers

Answer: 89.57 %

Hope it helps

Perform the forlowing
mathematical operation, and
report the answer to the correct
number of significant figures.
4568/13 = [?]

Answers

Answer:

[tex]\large \boxed{350}[/tex]

Explanation:

In multiplication and division problems, the answer can have no more significant figures than the number with the fewest significant figures.

My calculator gives the result:

[tex]\dfrac{4568}{13} = 351.3846154[/tex]

4658 has four significant figures.

     13 has two significant figures.

You must round to two significant figures.

That is, you drop all the digits to the right of the 5 — the red line in Fig. 1 below. You are rounding to the nearest ten.

To round a number to the nearest ten, you look at the number in the ones place (1). See Fig. 2.

If the number to be dropped — the digit in the ones place — is less than 5, you drop the digit in the ones place (Fig. 3). It becomes a zero.

The number in the tens place is a trailing zero. It is not significant.

[tex]\text{The quotient of $\dfrac{4658}{13}$ is $\large \boxed{\mathbf{350}}$}[/tex]

calculate the amount in moles of a gas which occupies 250cm3 at s.t.p​

Answers

Answer: 0.01 moles (I am guessing)

Explanation:

Firstly, cm3 and ml are equal to one another, therefore 250cm3 can also be written as 250 ml. I Googled and found that ideally, one mole of gas will occupy a volume of 22.4 L (22,400 ml) at s.t.p. 250 ml out of 22,400 ml is 0.01 rounded, therefore I assume that is the answer. About 0.01 mole occupies 250 cm3 at s.t.p.

Was is meant by the term suprenatural? Does science deal with the supernatural?

A. The term supernatural literally means (within nature) Science deals with the supernatural because it works within nature, not above it

B. The term supernatural literally means (above nature) Science does not deal with the supernatural because it works within nature, not above it

C. The term supernatural literally means (within nature) Science does not deal with the supernatural because it works above nature, not within it

D. The term supernatural literally means (above nature) Science deals with the supernatural because it also works with nature, not within it

Answers

Answer:

The term supernatural literally means, Science does not deal with the supernatural because within nature, not within it

Suppose you were given a substance and asked
to determine whether or not it was a plasma. Write
the characteristics you would look for to identify
the substance.

Answers

Answer:Particles in plasmas collide more often.

Plasma particles have high kinetic energy (they move quickly).

Plasma particles are far apart.

The ionized particles have no fixed volume

Explanation:

Plasma is the fourth form of matter which has freely moving electrons in it. The substance can be identified as plasma if its particles collide often and are far apart.

What is plasma?

Plasma is a type of matter other than solids, liquids, and gas. They have similar properties to that of gas. Plasma particle collides are often like gases as they move freely in space. Like gases that have no definite shape and volume.

The plasma particles have ionic charges, positive and negative resulting in high kinetic energy. This property allows them to show electromagnetism and electrical conductivity.

The ionized particles are due to the high temperature that allows them to have the property of electrical conductivity and compression.

Therefore, the particles of plasma are ionized and have high kinetic energy.

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explain the formation of coke?

please answer this question
I will mark u the brainlest☺️☺️​

Answers

Answer:

Here is it....

Explanation:

Ag2S + Al(s) = Al2S3 + Ag(s) (unbalanced)

1) What would the overall potential for this cell be?

2) Write the standard cell notation for an electrochemical cell consisting of an anode and cathode of the same types as in this experiment, connected through a salt bridge.

Answers

Answer:

1. 0.97 V

2. [tex]Al_(_s_)/Al^+^3~_(_a_q_)~//~Ag^+~_(_a_q_)/Ag_(_s_)[/tex]

Explanation:

In this case, we can start with the half-reactions:

[tex]Ag^+~_(_a_q_)->~Ag_(_s_)[/tex]

[tex]Al_(_s_)~->~Al^+^3~_(_a_q_)[/tex]

With this in mind we can add the electrons:

[tex]Ag^+~_(_a_q_)+~e^-~->~Ag_(_s_)[/tex]  Reduction

[tex]Al_(_s_)~->~Al^+^3~_(_a_q_)+~3e^-~[/tex] Oxidation

The reduction potential values for each half-reaction are:

[tex]Ag_2S~+~e^-~->~Ag_(_s_)~+~S^-^2~_(_a_q_)[/tex] - 0.69 V

[tex]Al^+^3~_(_a_q_)+~2e^-~->~Al_(_s_)[/tex] -1.66 V

In the aluminum half-reaction, we have an oxidation reaction, therefore we have to flip the reduction potential value:

[tex]Al_(_s_)~->~Al^+^3~+~2e^-~[/tex] +1.66 V

Finally, to calculate the overall potential we have to add the two values:

1.66 V - 0.69 V = 0.97 V

For the second question, we have to keep in mind that in the cell notation we put the anode (the oxidation half-reaction) in the left and the cathode (the reduction half-reaction) in the right. Additionally, we have to use "//" for the salt bridge, therefore:

[tex]Al_(_s_)/Al^+^3~_(_a_q_)~//~Ag^+~_(_a_q_)/~Ag_(_s_)[/tex]

I hope it helps!


The density of a 39 gram object with a volume of 5 cm is

Answers

Answer:

[tex]\huge\boxed{\sf D = 7.8 \ g/cm^3}[/tex]

Explanation:

Density = Mass / Volume

Where Mass = 39 g and Volume = 5 cm³

So,

[tex]\sf Density = \frac{39}{5} \\Density = 7.8 g/cm^3[/tex]

The identity of an element is determined by

A. the number of neutrons
B. the weight of the nucleus
C. the number of protons
D. the number of electrons



The answer is Number of Protons !

Answers

Answer: D. the number of protons

Explanation: The number of protons shows you what the Atomic number of an element is on the Periodic table of elements.

The identity of an element is primarily determined by the number of protons it possesses. The Option C.

What determines the identity of an element?

Each element on the periodic table has a unique number of protons in its nucleus which is referred to as its atomic number. This fundamental property of an element distinguishes it from other elements and determines its place on the periodic table.

While number of neutrons and electrons can vary within an element, it is the number of protons that defines its identity. Thus, the correct answer is C: the number of protons.

Read more about element identity

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Choose all the answers that apply
Protons:
Have a positive change
Have no change
Are found in the nucleus
Orbit the nucleus
Have a negative charge

Answers

I think the answer is
Protons have a positive charge
Are found in the nucleus

I hope this helps :)

A straight chain hydrocarbon with the formula C^3H^4 _____.

has a triple C-C bond
has a double C-C bond
is essentially inert
has two double C-C bonds

Answers

Answer:

has two double C-C bonds

Explanation:

A saturated compound is a compound having the full complement of hydrogen atoms for every carbon atom while an unsaturated compound does not contain the full complement of hydrogen atoms for every atom of carbon.

If we look at C3H4, the only possible structure of the compound is H2C=C=CH2. We can see from this arrangement that the compound contains a cumulative double bond. This is the specific structure that fits into one of the descriptions in the options, the compound contains two double bonds.

Define physical and chemical properties, provide three examples of each, discuss their reversibility, and explain the fundamental differences between them.

Answers

Answer:

Physical properties are defined as the properties which can be observed without changing its chemical composition.

For example: color, volume, and molecular weight.

Chemical properties are defined as the properties which can be observed only after changing chemical identity of the substance.

For example: reactivity, toxicity, and flammability.

The fundamental differences between physical and chemical properties are as follows:

Chemical properties are related to chemical bonds of the substance while physical properties are not.In chemical properties, chemical identity of substance changes while physical properties do not have any change.Chemical properties predict the reaction of substance while physical properties only describe the appearance of the substance.

Answer:

Chemical properties are related to chemical bonds of the substance while physical properties are not.

In chemical properties, chemical identity of substance changes while physical properties do not have any change.

Chemical properties predict the reaction of substance while physical properties only describe the appearance of the substance.

Explanation:

Balance the following equation. Choose "blank" if no coefficient other than 1 is needed. CaCl2 + Na2CO3 CaCO3 + NaCl

Answers

Answer:

Hi there!!!

The answer is given in picture.

In question we had 2 sodium(Na) and chlorine (cl) but after reaction nacl donot contain it. so, we need to put 2 infront of nacl to make them equal.

As balancing chemical equation refers to the process of keeping or making equal to the atoms of both product and reactant.

Hope it helps..

Air is an example of a mixture because the elements and compounds that make up air retain their individual properties. T or F

Answers

Answer:

True

Explanation:

This is true because no chemical bonding or change was involved only mechanical mixing.

This is true
Hope that help

4 examples of ionic bonding identifying in each one the anion, the cation and demonstrate the ionic bonding by means of the electronegativity difference.

Answers

Answer:

Here are some examples

Explanation:

NaCl

Cation = Na⁺, Anion = Cl⁻; ΔEN = |0.93 - 3.16| = 2.23

MgS

Cation = Mg²⁺, Anion = O²⁻; ΔEN = |1.31 - 3.44| = 2.53

KBr

Cation = K⁺, Anion = Br⁻; ΔEN = |0.82 - 2.96| =  2.14

CaF₂

Cation = Ca²⁺, Anion = F⁻; ΔEN = |1.00 - 3.98| = 2.98

In each case, ΔEN > 1.6, so the compound is ionic.

Which of the following polyatomic ions will form an ionic compound with two sodium ions? CO32− HCO31− NO21− NO31−

Answers

Answer:

CO32−

Explanation:

We have to consider the valencies of the polyatomic ions involved. Recall that it is only a polyatomic ion with a valency of -2 that can form a compound which requires two sodium ions.

When we look closely at the options, we will realize that among all the options, only CO32− has a valency of -2, hence it must be the required answer. In order to be double sure, we put down the ionic reaction equation as follows;

2Na^+(aq) + CO3^2-(aq) ---------> Na2CO3(aq)

Answer:

A).  CO32−

Explanation:

Other Questions
This is not really a question but can you read my essay that I wrote last year and review it? Please. If life is not suffering you still do not have the moral righteousness to decide whether someone else's life is worth living. What this person is saying is, life is not meant to live in pain, therefore you cant decide if someone else should live or die. This relates to abortion. Abortion is the termination of a life, a babys life. There is no excuse to abort unless it is to save the life of the mother. Besides, there are other options. Abortion is wrong, for many reasons, therefore it should be illegal. A human is a human being from the point it was created. According to BBC.com, A foetus has a unique genetic code, a foetus is a unique individual. Aborting a child, no matter how long it has been inside its mother's womb, would be killing it. And killing a human being is a crime. It is wrong to kill beings that would have a future like ours if they lived. (BBC.com: Introduction to the Abortion Debate) Everybody wants to live a happy and succesful life. Why not give a child the chance to grow up, to be successful and happy? It is wrong to cause pain & suffering, a foetus is sufficiently developed to feel pain by 18 weeks. (BBC.com: Introduction to the Abortion Debate) Nobody wants to be in pain, so why cause it to another? One said, Many women do not become pregnant by choice. It is wrong to force these women to remain pregnant when they do not want to be. (Kialo.com Pro-life vs Pro-choice: Should abortion be legal?) It is obvious that most women who have an abortion do not become pregnant because they want to. But no one forces these women to remain pregnant, instead some give advice on how to raise a child. If women abort, they are forcing a baby to die when they do not want to. ... This can lead to additional abortion benefits; it allows women to continue pursuing their educational or career goals and work toward greater financial stability. (Unplannedpregnancy.com Pros & Cons of Abortion: 16 Things Every Women Should Know) But according to the University of Massachusetts Medical School, only 4% of the abortions are due to interference with education or career plans. The causes of financial instability are, the lack of money management skills, income stability, and financial literacy. (ScienceDaily.com) One of the leading causes of the lack of money management skills is education expenses. (solveyourdebts.com) According to marketplace.org, college graduates leave school with a debt of $30,000. But 53% end up being unemployed or working in a job that doesnt require a bachelors degree. (Washington.edu) So there is no reason to abort if you have that excuse. There are two other options besides abortion. Adoption and parenting. If you truly do not have the money to raise a child or do not want it you could put it up for adoption. There are many couples out there willing to adopt and raise a child. On the other hand, you could just raise the child. There are many organizations that provide help if it is needed. Later on, after the pregnancy, you can learn to love it and care for it. It may be true that it is cheaper to abort than to raise a child. According to CBSnews.com, the estimated cost of raising a child from birth through age 17 is $233,610. To abort, it costs from about $350 to $950. But what matters most is that you love and care for the child. Although an abortion usually lasts 10-15 minutes, it still violates the right to life. It causes pain and suffering to both the mother and the baby. There are other options, abortion doesnt have to be one of them. Why not give a chance, instead of taking one away? A friend of your has been absence from school for months dus to illness write a letter to the friend describing some interesting things that have happened in the school during the period and expressing your wish for a quick recovery According to John Locke, when do people have the right to revolt against their government? Storm in Bowl is a noodle manufacturer in Texas. It advertises the ingredients used for its product to convince customers that it is safe for consumption. The company has also slashed its prices to ensure affordability for low-income consumers. According to the VALS framework, Storm in Bowl is most likely targeting Which of the following statements is true according to the measurements in the diagram? SOME PLZZZ HELP URGENT :( What is the best way to edit this sentence? In the early part of the month of April, we traveled in our own car to the city of New Orleans in the state of Louisiana. A. We drove to New Orleans in early April. B. In the early part of April, we drove to New Orleans in Louisiana. C. In the early part of April, we traveled by car to the city of New Orleans. D. We traveled in our own car to the city of New Orleans, Louisiana, in early April. Of the 600 people at a music festival, 420 had attended the previous year. How many peopleout of 100 had attended the previous year? Experiment:Part I: Voltaic CellAssume that you are provided with the following materials:Strips of metallic zinc, metallic copper, metallic iron1M aqueous solutions of ZnSO4, CuSO4, FeSO4, and aqueous iodine (I2)Other required materials to create Voltaic cells such as beakers, porous containers, graphite rods, a voltmeter, and a few wires with alligator clips.In this modified version of the lab, after thoroughly studying the lab hand out and watching the videos, identify 4 different combinations of Voltaic cells that are possible to be created with the above materials.For each cell created, include the following details.Which electrode was the anode and which was the Cathode?The anode and cathode half reactions.Balanced equation for each cell you propose to construct.Calculated EocellShort hand notation (line notation) for each cell (be sure to include the inactive electrode if needed) A pet store has m tanks of fish. Each tank has 35 fish. Using m, write an expression for the total number of fish in the store what is PI numbers? Which of thw following type of raw meat is most likely to cause salmonella art of Picasso period? ASAP PLS I'M TIMED!!!!!!!!!!!!!!!!Which societal changes occurred in the US as a result of the Vietnam War? Select TWO options. The mandatory draft ended. The voting age was lowered to 18. Military engagements overseas stopped. Immigration from Vietnam was eliminated. Mass protests opposing US government policies ended. At a listing appointment, the seller of a large, expensive home on the water gives specific instruction to the sales associate not to show the home to anyone from a certain protected class. The sales associate tells the seller this is a clear act of discrimination, but the property owner insists. The sales associate should The multiplicative inverse of 1 in the set {-1,1}is Suppose you are paid an annual salary, plus a bonus of 20% on annual sales over $500,000. Consider the two functions f(x) = x 500,000 and g(x) = 0.2x where x equals your annual sales. Which function composition gives the bonus amount when your sales are over $500,000?A)x(f(g))B)x(g(f))C)g(f(x))D)f(g(x)) What does the body of an informational article usually contain? Overview of the article's topic Summary of all the article's key points Support for the main idea or thesis The thesis statement or main idea Yelena needs to swim a total of 8 miles thisweek. So far, she swam 5 miles. Use theequation 5 + m=8 to find how many moremiles Yelena needs to swim. Expected return and standard deviation. Use the following information to answer the questions: LOADING.... a. What is the expected return of each asset? b. What is the variance of each asset? c. What is the standard deviation of each asset? Hint: Make sure to round all intermediate calculations to at least seven (7) decimal places. The input instructions, phrases in parenthesis after each answer box, only apply for the answers you will type. a. What is the expected return of asset A? Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900. Let B represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? 2)What is the least amount of money that Joe can spend to get the amount of rooms they need? Work not needed!