1. Find the masses of the following amounts.

a. 2.15 mol of hydrogen sulfide, H2S
b. 3.95 × 10−3 mol of lead(II) iodide, PbI2

50 POINTS!!!!!!!!!!!!

Answers

Answer 1

The mass of 2.15 mol of hydrogen sulphide (H₂S) will be 73.272 gm and the mass of  3.95 × 10⁻³ mol of lead(II) iodide, (PbI₂) will be 1.82 gm

What is Mole ?

A mole is a very important unit of measurement that chemists use.

A mole of something means you have 6.023 x 10 ²³ of that thing.

For 2.15 mol of hydrogen sulphide (H₂S) :

1 mole hydrogen sulphide (H₂S) = 34.08088 grams

Therefore,

2.15 mol of hydrogen sulphide (H₂S) = 34.08088 grams x 2.15 mol

                                                              = 73.272 gm

For 3.95 × 10⁻³ mol of lead(II) iodide, (PbI₂) ;

1 mol of lead(II) iodide, (PbI₂) = 461.00894 grams

Therefore,

3.95 × 10⁻³ mol of lead(II) iodide, (PbI₂) = 461.00894 grams x 3.95 × 10⁻³ mol

                                                                  = 1.82 gm

Hence,The mass of 2.15 mol of hydrogen sulphide (H₂S) will be 73.272 gm and the mass of  3.95 × 10⁻³ mol of lead(II) iodide, (PbI₂) will be 1.82 gm

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Related Questions

If a ratio of two elements in a chemical formula is 1:1, does this necessarily mean that the number of atoms of each element is 1 ? Explain your answer

Answers

Answer:

i do not know sorry i such at this hope you find the answer.

ratio = 1 : 1

the number of atoms can be 1: 1, 2:2, 3:3 etc

Which particles are transferred during a redox reaction

Answers

Answer:

Most oxidation-reduction (redox) processes involve the transfer of oxygen atoms, hydrogen atoms, or electrons, with all three processes sharing two important characteristics: (1) they are coupled—i.e., in any oxidation reaction a reciprocal reduction occurs, and (2) they involve a characteristic net chemical change— .

Electrons will be transferred during redox reaction.

What is electron?

The electron is subatomic particles which are placed in surrounding the nucleus. Electrons carry negative charge.

What is redox reaction?

Redox reaction involve the transfer of electrons between intermediates. A redox reaction occurs when the oxidation states of the substrate change. The removal of electrons or even a rise in the oxidation state of such a chemical or its atoms is referred to as oxidation. The acquisition of electrons or a lowering in the oxidation number of a chemical or the atoms inside it is referred to as reduction.

Hence the answer will be electron

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which of the following statements regarding exergonic reactions are true? multiple select question. exergonic reactions are spontaneous. exergonic reactions have a positive change in free energy. exergonic reactions release energy during product formation. the products of an exergonic reaction have a higher free energy than the reactants.

Answers

Exergonic reactions release energy during product formation.

What are exergonic reactions?

Exergonic reactions are chemical reactions that release energy as they occur. In an exergonic reaction, the reactants contain more potential energy than the products, and the excess energy is released into the environment.

Exergonic reactions are important in many biological processes, such as cellular respiration, where energy is released from the breakdown of glucose to power the cell's activities.

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why can we assume that the thiocyanate ion concentration equals the complex ion concentration in beakers 2-7?

Answers

The thiocyanate ion (SCN-) concentration equals the complex ion concentration in beakers 2-7 because the reaction that took place was a 1:1 stoichiometric reaction. This means that the moles of SCN- reactant is equal to the moles of complex product formed.


The thiocyanate ion concentration in beakers 2-7 can be assumed to equal the complex ion concentration because the reaction between the iron(III) ion and thiocyanate ion is practically irreversible. According to the given information below:

2 Fe³⁺(aq) + 3 SCN⁻(aq) → Fe(SCN)₂⁺(aq)

The red-brown Fe(SCN)₂⁺ complex is formed in beakers 2-7 due to the reaction of iron(III) ions and thiocyanate ions. Since the reaction is irreversible and occurs entirely to the right, the concentration of the Fe(SCN)₂⁺ complex equals the concentration of the SCN⁻ ion.

Therefore, the thiocyanate ion concentration equals the complex ion concentration in beakers 2-7.Let's use this information to provide an HTML-formatted answer below:

In beakers 2-7, the thiocyanate ion concentration is assumed to equal the complex ion concentration because the reaction between iron(III) ions and thiocyanate ions is practically irreversible.

According to the given information below:

2 Fe³⁺(aq) + 3 SCN⁻(aq) → Fe(SCN)₂⁺(aq)

The red-brown Fe(SCN)₂⁺ complex is formed in beakers 2-7 due to the reaction of iron(III) ions and thiocyanate ions. Since the reaction is irreversible and occurs entirely to the right, the concentration of the Fe(SCN)₂⁺ complex equals the concentration of the SCN⁻ ion. Therefore, the thiocyanate ion concentration equals the complex ion concentration in beakers 2-7.

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what is a tiny unit of an element that retains the properties of the element.

Answers

An atom is the smallest particle of an element that can retain all its chemical properties.

What is the smallest unit of an element that still retains the element's properties?

Atoms are tiny units that control the property of all materials. They are the building blocks of particles. Atoms are the smallest part of an element that still has the element's properties. An atom of gold is dissimilar from an atom of oxygen an atom is the smallest particle of an element, having the same chemical properties as the bulk element.

The tiny unit of matter that has the characteristic properties of its element is called an “atom”. single atoms are called “elements” for that reason.

So we can conclude that The smallest unit of matter that has the usual properties of its element is called an “atom”. Individual atoms are called “elements” for that reason.

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Some bacteria live in the roots of plants like soybeans and peas.

Bacteria growing on plant roots.
What is the role of these bacteria in the nitrogen cycle?

to absorb nitrogen-containing compounds from the soil
to release free nitrogen into the atmosphere
to break down nitrogen-containing compounds in dead organisms
to convert free nitrogen into usable nitrogen

70 points!

Answers

Answer:

to release free nitrogen into the atmosphere. This is the answer.

Answer:

to convert free nitrogen into usable nitrogen

Explanation:

got it right on the test boi

What is the percentage of Calcium in CaC2?
O 63 %
O 77%
O 23%
O 37 %

Answers

Answer:

23percent

Explanation:

correct this or not?

lysine is a compound composed of carbon, hyrgoen, nitgrogen, and oxygen. when 1.50 g of lysine i burned, 2.72 g of carbon dioxide, 1.29 g of water, and 0.287 g of nitrogen gas are produced. what is the empirical formula of lysine? if the molar mass of lysine is 146.19 g/mol. what is the molecular formula?

Answers

The empirical formula of lysine is C₆H₁₄N₂.

By calculating the smallest whole number ratio from the mass percentages of a compound's constituent parts, it is possible to calculate its empirical formula.

We must first establish how many moles of each element are included in 1.50 g of lysine in order to determine the empirical formula for lysine. The mole ratios of the elements may then be calculated using these values and will match the ratio of the subscripts in the empirical formula.

We may determine how many moles of carbon and hydrogen are contained in 1.50 g of lysine by computing the mass of generated CO₂ and H₂O.

Moles of C = 2.72 g CO₂ x (1 mol CO₂ / 44.01 g CO₂) = 0.062 moles

Moles of H = 1.29 g H₂O x (2 moles H / 18.02 g H₂O) = 0.143 moles

Secondly, by being aware that lysine also generated 0.287 g of N. We can determine how many moles of N there are.

moles of N = 0.287 g N x (1 mole N / 28.02 g N) = 0.0102 moles

By dividing each element by the minimum number of moles, which is 0.0102 moles, we can now determine the ratio of the elements.

C = 0.062 moles / 0.0102 moles = 6

H = 0.12 moles / 0.0102 moles = 14

N = 0.0102 moles / 0.0102 moles = 1

Therefore, the empirical formula of lysine is C₆H₁₄N₂

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What coefficient for O2 demonstrates the law of conservation of mass?
CH (9) + _02(g) → CO2(g) + 2H2O(g)

Answers

Answer:

2

Explanation:

The coefficient for O is 2 and this is an example of a combustion reaction. With the help of the coefficient 2 infront of oxygen, this equation now demonstrates law of conservation of mass.

The coefficient for O₂ that demonstrates the law of conservation of mass is

2.

The law of conservation of mass states that mass can neither be created

nor destroyed but can be transformed from one form to another.

The mass of the reactant and the mass of the product should be equal.

Therefore, let's balance the equation

CH4 (g) + 0₂(g) → CO₂(g) + 2H₂O(g)

For the equation to be balanced the masses of each molecules on both

sides will be the same .

Therefore,

CH4 (g) + 20₂(g) → CO₂(g) + 2H₂O(g)

The coefficient of 2 for O₂ will balance the masses of oxygen on both

sides of the chemical equation.

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3. An air mass that is cool and dry.
a. Maritime tropical
b. Maritime polar
c. Continental tropical
d. Continental polar

4. An air mass that is warm and moist.
a. Maritime tropical
b. Maritime polar
c. Continental tropical
d. Continental polar

Answers

Answer:

An air mass that is described as having warm and moist air is called maritime tropical. This occurs when heat and moisture are transferred to the overlying air from the warm waters of the ocean or seas. Maritime Tropical air mass comes from the warm waters of the tropics and the Gulf of Mexico. When warm air moves northward moist air is transported to the United States which causes the increase in precipitation. Maritime Tropical masses are often felt in the Southeast part of the United States.  

Explanation:

A LOAEL is defined as:
The lowest hazard ratio in rats and mice
The Litany Of Adverse Elemental Liquidations
The lowest dose that demonstrates a significant increase in an observable adverse effect
The lowest level without an effect on biomarkers of exposure
The lowest level that causes death in 50% of the population over a defined period of time

Answers

A LOAEL is defined as the lowest dose that demonstrates a significant increase in an observable adverse effect. The term LOAEL stands for "Lowest Observed Adverse Effect Level."

When testing chemicals and other substances for toxicity, the goal is to determine the concentration or dose at which adverse effects begin to appear. The LOAEL is the lowest dose at which an adverse effect is observed. This value can be used to establish a safe level of exposure to a substance.
To determine the LOAEL, a series of tests are conducted in which different doses of the substance being tested are administered to test animals. The animals are observed for any adverse effects, such as changes in behavior, weight loss, or organ damage. The lowest dose at which an adverse effect is observed is the LOAEL.
It is important to note that the LOAEL is a relative measure of toxicity. It only provides information on the dose at which an adverse effect is first observed and not on the severity of the effect. In addition, the LOAEL may vary depending on the species tested and other factors.
In summary, the LOAEL is the lowest dose at which an observable adverse effect is detected. This value is used to establish a safe level of exposure to a substance.

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T/F All amino acid based hormones are lipid soluble and can cross the plasma membrane.

Answers

False All the amino acid based hormones are not lipid soluble and can not cross the plasma membrane.

Amino acid-derived as well as polypeptide hormones are water-soluble and insoluble in lipids. These hormones cannot pass through the plasma membranes of the cells; therefore, their receptors are found on the surface of the target cells.

Amino acids are those molecules which will combine to form proteins.  When the proteins are digested or broken down, amino acids will be left. The human body uses amino acids to make proteins to help out the body: Repair body tissue, Grow, and Perform many other body functions.

Amino acids are also be used as a source of energy by the body.

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Which type of river is similar to a mature river, but flows more slowly so has less power to change the landscape? Select one: a. Youthful River b. Mature River c. Old Age River

Answers

Answer:

The correct option is;

C. Old Age River

Explanation:

Among the three stages of  the development of a river, which are the youthful, mature, and old age stages, the old age river is least dynamic

The water is very slow moving  with a low gradient and lesser erosive power to alter the landscape which results in the appearance of flood planes

Examples of old age rivers include, lower Ganges, lower Nile, Indus, and Yellow rivers

Old age rivers are characterized by a broad shape, with a wide flood plane, a very gentle gradient and the water current is low.

Answer:c

Explanation:

old age river

10
The most appropriate SI unit for measuring the length of an automobile is
meter
kilometer
centimeter
millimeter
11

Answers

The most appropriate SI unit for measuring length of an automobile is Centimeters.

Which element has 5 energy levels and 2 valence electrons?

Answers

Answer:

Element 38: Strontium

Explanation:

Balance this equation: CS^2 + O^2 ---> CO^2 + SO^2

Answers

Balanced equation = CS₂ + O₂ = 2CO₂ + SO₂ . The reaction's mass and charge are in balance on both sides.

What is a reaction to balance?

An equation for a chemical reaction that has the same total charge and number of atoms for both the reactants and the products is called a balanced equation. To put it another way, the reaction's mass and charge are in balance on both sides.

A balanced chemical equation is one in which the mass of the reactants and the mass of the products are both equal to the number of atoms of each element on both sides of the equation.

Why do we balance equations?

To comply with the law of conservation of mass, which states that "Total mass of all the products of the reaction in a chemical reaction is equal to the total mass of all the reactants," the chemical equation must be balanced.

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Mars has a thin atmosphere, no vegetation, and no source of moving water on the surface. Using the picture of Mars' surface shown above, hypothesize about weathering processes that occur on the red planet. Justify your answer.

Answers

Unlike the rocks of Earth, where many factors contribute to erosion, the main weathering agents on Mars are wind and acid fog.

Why does Mars have no surface water?

Because the atmospheric pressure on the planet's surface averages only 610 pascals (0.088 psi), it is slightly lower than the vapor pressure of water at its triple point; warming water on the Martian surface would sublime under average Martian conditions.

When you see reddish stains on rock, you are witnessing oxidation, which is the result of chemical changes caused by oxygen. When iron-containing materials like steel are oxidized, a chemical reaction occurs, causing the material to rust.

Thus, Unlike the rocks of Earth, where many factors contribute to erosion, the main weathering agents on Mars are wind and acid fog.

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Your question is incomplete, the image of mars surface is attached below:

Mars has a thin atmosphere, no vegetation, and no source of moving water on the surface. Using the picture

do all objects emit electromagnetic waves?

Answers

Answer:

no, not all objects emit electromagnet waves.

Explanation: because lets say the object is carpet it has no magnetic waves in it so not all objects do.

how many s orbitals exist in one energy level of an atom?

Answers

The number of s orbitals present in one energy level of an atom is 1. There can be only one s orbital present in a single energy level.

What is an s orbital?

An s-orbital is a region of space around the nucleus where an electron is most likely to be found. An s-orbital is a spherical shape that is symmetrical around the nucleus of an atom.

What is an energy level?

An electron shell is another name for an energy level. It's a portion of an atom where electrons are found. Electrons, which are negatively charged, are constantly moving around the nucleus of an atom in energy levels. Electrons that are farther away from the nucleus are located in higher energy levels.

What is an electron configuration?

The arrangement of electrons in an atom is referred to as its electron configuration. In terms of electron shells, subshells, and orbitals, it reveals how the electrons are arranged.

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which phrase best defines the term energy​

Answers

Answer:

theres no options?

Explanation:

the mass defect of o-16 is 0.133 amu, and the mass defect of c-12 is 0.099 amu. which has a higher average binding energy per nucleon?

Answers

Its average binding energy per nucleon is also higher than that of C-12.

O-16 has a higher average binding energy per nucleon.

The average binding energy per nucleon can be calculated using the formula:

average binding energy per nucleon = (total binding energy) / (total number of nucleons)

The total binding energy of a nucleus is related to its mass defect, which is the difference between its actual mass and the sum of the masses of its constituent protons and neutrons.

The mass defect is a measure of the energy that is released when the nucleus is formed from its constituent particles.

Since O-16 has a larger mass defect than C-12, it has a higher total binding energy. Therefore, its average binding energy per nucleon is also higher than that of C-12.

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Why is an element's atomic mass in a decimal form on the Periodic Table?​

Answers

Answer:

because it is an average of various isotopes of the element

Explanation:

glad to help

draw structural formulas for an aldehyde or ketone and alkyl (or aryl) bromide that could be used in a grignard synthesis of the alcohol shown.ch2ch2oh

Answers

Grignard synthesis of the alcohol shown involves the following reaction: CH2CH2Br + Mg + 2(C2H5)2O → CH2CH2MgBr + 2C2H5OHWhen we compare the equation with the reagents available, we can see that it requires CH2CH2Br and two molecules of C2H5OH.

From these, CH2CH2OH is synthesized. As the equation suggests that CH2CH2Br is the alkyl halide used, we can add CH2CH2Br and an aldehyde or ketone as a reactant. To draw the structural formulas for the reaction, follow the below guidelines: Step 1: Add an aldehyde or ketone Aldehydes and ketones are organic compounds containing carbonyl groups. They have the following formula: RCHO (aldehyde) and R2CO (ketone), respectively. An example of an aldehyde is formaldehyde, which has a structural formula HCHO. When we add HCHO to the reaction, the structural formula for the reactant becomes: CH2O.Step 2: Add an alkyl or aryl bromide The next step is to add an alkyl or aryl bromide to the reactant. An alkyl bromide is an organic compound containing a carbon-bromine bond, while an aryl bromide contains a bromine atom attached to an aromatic ring. The simplest example of an alkyl bromide is CH3Br, while the simplest aryl bromide is bromobenzene (C6H5Br). For this reaction, we will add CH2CH2Br as the alkyl bromide. The structural formula for the reactant becomes: CH2CH2Br + CH2OHere is the required structural formula in 100 words. The Grignard synthesis of the alcohol shown in the equation CH2CH2Br + Mg + 2(C2H5)2O → CH2CH2MgBr + 2C2H5OH requires CH2CH2Br and two molecules of C2H5OH. Therefore, we can add CH2CH2Br and an aldehyde or ketone to form the desired alcohol. For this purpose, we will use HCHO as an aldehyde and CH2CH2Br as an alkyl bromide. The structural formula for the reactant will be CH2CH2Br + CH2O.

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Identify the location of alkali metals, transition metals, non-metals, metalloids, halogens, and inert gases in the periodic table.

Answers

Alkali metals are located in group 1A of the periodic table.Transition metals are located in groups 3-12 of the periodic table.Non-metals are located in groups 16-18 of the periodic table.Metalloids are located in between groups 2 and 3 of the periodic table.Halogens are located in group 7A of the periodic table.Inert gases are located in group 8A of the periodic table.

In summary, alkali metals are located in group 1A, transition metals are located in groups 3-12, non-metals are located in groups 16-18, metalloids are located in between groups 2 and 3, halogens are located in group 7A, and inert gases are located in group 8A of the periodic table.

Alkali metals are located in Group 1 of the periodic table. These elements have one valence electron, which they readily lose to form positive ions. Transition metals occupy the central portion of the periodic table. These elements are characterized by their variable oxidation states and the formation of colored compounds.

Non-metals are located to the right of the zigzag line on the periodic table. These elements have low melting points and are poor conductors of heat and electricity. Metalloids are located on either side of the zigzag line on the periodic table. These elements have intermediate properties between metals and non-metals.

Halogens are located in Group 17 of the periodic table. These elements are highly reactive and readily form negative ions. Inert gases, also known as noble gases, are located in Group 18 of the periodic table. These elements are characterized by their lack of reactivity and full valence shells.

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Copper has the highest conductivity of any metal used in electronics. True False Question 54 (1 point) Express the number .000000as9? using the powers of ten. A) \( 3597 \times 10^{-9} \) B) \( 35.97

Answers

Copper has the highest conductivity of any metal used in electronics. The statement is false.

Silver is the element that conducts electricity the best, followed by copper and gold.

The earth's most conductive metal is by far silver. Silver only has one valence electron, which explains this. This one electron can also go about freely and encounter little opposition. As a result, some of the metals with this particular property are silver and copper.

Silver is the metal with the highest thermal and electrical conductivity because of its distinctive crystal structure and lone valence electron.

Since copper is the non-precious metal with the highest conductivity, it has a higher electrical current carrying capacity than other non-precious metals. The strength of the metal rises when tin, magnesium, chromium, iron, or zirconium are added to copper to create alloys, but its conductivity decreases.

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Part A (a) A mixture is prepared by mixing 70 mL of ethanol with 30 mL of H20. In this mixture, H2O is the solute solid solvent O ionic compound O solution Submit Request Answer

Answers

In the solution water is solute and ethanol is solvent.

Binary solution

A mixture of two liquids that are completely miscible one with another is known as a Binary solution. The boiling point of binary solution depends upon the composition of the solution.

A binary solution consists of a solute and a solvent.

The solute is usually present in smaller quantity and solvent is in larger quantity.

If a solution has 70 ml ( larger quantity ) of ethanol , it means ethanol is the solvent .

water with 30 ml of quantity ( smaller quantity ) will be the solute.

So , in the mixture, water is the solute.

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Water boils at 90∘Cwhen the pressure exerted on the liquid equals (1) 65 kPa (2) 90 kPa (3) 101.3 kPa (4) 120 kPa

Answers

The boiling point of water is dependent on the pressure exerted on the liquid. In this case, water boils at 90°C when the pressure exerted on the liquid equals 101.3 kPa, which is equivalent to atmospheric pressure. At different pressures, the boiling point of water will vary.

The boiling point of a substance is the temperature at which its vapor pressure equals the external pressure exerted on the liquid. When the external pressure is equal to the vapor pressure, the liquid starts to vaporize and boil.

In the given options, the pressure values are provided, and we need to determine which pressure corresponds to the boiling point of water at 90°C.

At standard atmospheric conditions, the pressure is approximately 101.3 kPa, which is equivalent to 1 atmosphere (atm) or 760 mmHg. This is also known as the normal boiling point of water, where water boils at 100°C.

Based on this information, we can conclude that option (3) 101.3 kPa is the correct choice. At this pressure, water boils at 90°C.
Therefore, the boiling point of water is affected by the pressure exerted on the liquid, and at 101.3 kPa, water boils at 90°C. At higher pressures, such as option (4) 120 kPa, water would boil at a higher temperature, and at lower pressures, such as options (1) 65 kPa or (2) 90 kPa, water would boil at a lower temperature.

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please help I have 50 questions for just SCIENCE :(

please help I have 50 questions for just SCIENCE :(

Answers

I thinks it’s C don’t come for me if it’s wrong lol

what volume would 120 grams of mercury occupy

Answers

Answer:

33

Explanation:

Which of these statements relating to ecological succession is true?

During succession, there is no change to the physical or chemical environment.
During succession, existing species resist interaction with new species.
During succession, new species move into an area and colonize it.
Most ecological successions occur over 10 to 15 years.

Answers

Answer: During succession, new species move into an area and colonize it.

Explanation: Ecological succession refers to the process of change in the composition and structure of an ecosystem over time. It occurs due to the interactions between the biotic (living) and abiotic (non-living) components of an environment. As succession progresses, new species gradually establish and thrive in the area, leading to a change in the species composition. This process can occur over a long period of time, ranging from decades to centuries, depending on various factors such as environmental conditions and the specific type of succession.

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No one is as slick as Gaston is as slick as Gaston, is this a simple subject, simple predicate, complete subject, complete predicate, or neither. #6 solve a) give solution in calculator ready form the exact value of x b) approximate the solution to the nearest hundredth A project team assigns probabilities of 0.1,0.3,and 0.6 respectively to the maturity,complexity,and dependency categories.The probability of failure can be calculated as:A)0.02.B)0.45.C)0.33.D)0.57. Integrated Potato Chips paid a $1.10 per share dividend yesterday. You expect the dividend to grow steadily at a rate of 5% per year.a. What is the expected dividend in each of the next 3 years? (Do not round intermediate calculations. Round your answers to 2 decimal places.)Expected DividendYear 1 $Year 2 Year 3 b. If the discount rate for the stock is 11%, at what price will the stock sell? (Do not round intermediate calculations. Round your answer to 2 decimal places.)Current price $c. 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In January 2001, all of Tucker's debts were discharged in bankruptcy, including the Yale judgment. None of the cases, from bankruptcy to the present litigation, discussed Fountain's father.Tucker filed suit against the boy who had shot her son. However, Fountain passed away before the case was settled. The settlement from this tort case was placed into probate court as part of Fountain's estate. Tucker was the administrator of her son's estate. When the settlement was deposited, Yale asked the probate court for payment of its $17,694 judgment from the estate. The Probate Court denied the motion, reasoning that parents are liable for medical services rendered to their minor children, and that a parent's refusal or inability to pay for those services does not render the minor child liable. Yale was denied payment from the estate and appealed to the trial court, which held for Yale. Tucker and the estate (defendants) appealed.Judicial OpinionBORDEN, JusticeThe rule that a minor's contracts are voidable is not absolute. An exception to this rule, eponymously known as the doctrine of necessaries, is that a minor may not avoid a contract for goods or services necessary for his health and sustenance. Such contracts are binding even if entered into during minority, and a minor, upon reaching majority, may not, as a matter of law, disaffirm them. [W]e conclude that Connecticut recognizes the doctrine of necessaries. We further conclude that, pursuant to the doctrine, the defendants are liable for payment to the plaintiff for the services rendered to Fountain.Our common law has long recognized the parents' obligation to provide for their minor child ("[t]here is a law of our universal humanity which impels parents, whether fathers or mothers, to protect and support their helpless children")The present case illustrates the inequity that would arise if no implied in law contract arose between Fountain and the plaintiff. Although the plaintiff undoubtedly presumed that Fountain's parent would pay for his care and was obligated to make reasonable efforts to collect from Tucker before seeking payment from Fountain, the direct benefit of the services, nonetheless, was conferred upon Fountain. Having received the benefit of necessary services, Fountain should be liable for payment for those necessaries in the event that his parents do not pay.Fountain received, through a settlement with the boy who caused his injuries, funds that were calculated, at least in part, on the costs of the medical services provided to him by the plaintiff in the wake of those injuries. This fact further supports a determination of an implied-inlaw contract under the circumstances of the case. The judgment is affirmed.Case Questions1. Describe the series of events that led to Yale requesting that the minor pay for the medical services.2. What public policy issues and concerns result from this decision?3. What benefits does the decision provide? What was the first college established in the United States Mr. Holt's vacation home was completely destroyed by a fire in July Year 1. In December Year 1, Holt's insurance company paid him his basis in the home plus $12,000. In order to postpone recognizing the gain, Mr. Holt must acquire replacement property by the end of a. December 31, Year 3. b. July Year 4. c. July Year 3. d. December 31, Year 4. kylie want to buy a laptop that originally cost p dollars Solve the following mathematical program by using dynamic programming. Max z = (x - 1) + (x - 2)+(x3 + 1) St, x + x + x3 = 4 X 3 X1, X2, X3 E {0} UZ+ In Michigan, what are the terms of office for senators and representatives?senators: six years; representatives: four yearssenators: six years; representatives: two yearssenators: four years; representatives: two yearssenators: four years; representatives: four years A restaurant has budgeted sales of $912,000. Variable costs are 72% of sales and fixed costs are $102,000. Calculate total variable costs, gross margin, and operating income. 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