14. A 70 N tight rope walker is walking 20 meters above ground. About how much Gravitational Potential Energy does the performer have? 1,400 J 1,200 J 800 J

Answers

Answer 1

Answer:

It is 1,400 j

Explanation:

That is what i know

Answer 2

Answer:

1,400J

Explanation:

the formula for calculating Gravitational Potential Energy is mass×gravitational field strength×height

70×10×20=1,400


Related Questions

the molality of hydrochloric acid, hcl, in an aqueous solution is 8.56 mol/kg.what is the mole fraction of hydrochloric acid in the solution?

Answers

The mole fraction of hydrochloric acid (HCl) in the solution is approximately 0.460.

Molality (m) is defined as the number of moles of solute per kilogram of solvent. In this case, the molality of HCl is given as 8.56 mol/kg. Mole fraction (X) is defined as the ratio of the moles of a component to the total moles of all components in the solution.

To calculate the mole fraction of HCl, we need to know the total number of moles in the solution. However, the information provided only gives the molality of HCl, which provides the moles of HCl per kilogram of solvent, but not the total moles of the solution. Without the total moles of the solution, it is not possible to directly calculate the mole fraction of HCl. Therefore, based on the given information, it is not possible to determine the mole fraction of HCl in the solution accurately.

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seaborgium mass number =

Answers

Explanation:

seaborgium Is a type of corn that is grown in warm countries.

answer is SG

Answer:

269 u

Explanation:

Determine the pH, pOH, [H+], and [OH−] of a solution in which 0.300 g of aluminum hydroxide is dissolved in 184 mL of solution.

Answers

Answer:

[OH⁻] = 0.0627M

pOH = 1.20

pH = 12.8

[H⁺] = 1.59x10⁻¹³M

Explanation:

To solve this question we must, as first, find the molarity of Al(OH)₃ in the solution -Molar mass Al(OH)₃: 78.00g/mol-:

0.300g * (1mol/ 78.00g) = 3.846x10⁻³ moles

In 184mL = 0.184L:

3.846x10⁻³ moles / 0.184L = 0.0209M Al(OH)₃. Three times this molarity = [OH⁻]:

[OH⁻] = 0.0209M * 3

[OH⁻] = 0.0627M

pOH = -log [OH⁻] =

pOH = 1.20

pH = 14 - pOH

pH = 12.8

And [H⁺] = 10^-pH

[H⁺] = 1.59x10⁻¹³M

What is the number of particles after gluecose is mixed with water

Answers

Answer: dissolves

Explanation:

When you stir a spoonful of sugar into a glass of water, you are forming a solution. This type of liquid solution is composed of a solid solute, which is the sugar, and a liquid solvent, which is the water. As the sugar molecules spread evenly throughout the water, the sugar dissolves.

10. Vocabulary Word: region: any large part of the Earth's surface.

Use the vocabulary word in a sentence:

Answers

Answer:

Rice is grown in rainy regions.

The river flooded the whole region.

He explored the region around the South Pole.

Explanation:

Hope this helped!


If there are 27 grams of nitrogen dioxide at STP how many liters does this occupy?

Answers

Answer:

30 liters

Explanation:

What mass Na2CO3 will completely react with 150 mL of 0.15 M HNO3?
a) write the balanced equation
b) construct the pathway of how you would approach the problem.
c) write out the calculation
d) calculate

Answers

a) Balanced equation:

2Na2CO3 + 2HNO3 -> 2NaNO3 + H2O + CO2

b) Pathway:

To determine the mass of Na2CO3 required to react with 150 mL of 0.15 M HNO3, we need to follow these steps:

Write the balanced equation to determine the stoichiometry between Na2CO3 and HNO3.

Convert the volume of HNO3 to moles using its molarity.

Use the stoichiometry from the balanced equation to determine the moles of Na2CO3 required.

Convert the moles of Na2CO3 to grams using its molar mass.

c) Calculation:

Given:

Volume of HNO3 = 150 mL = 0.150 L

Molarity of HNO3 = 0.15 M

Step 1: Balanced equation:

2Na2CO3 + 2HNO3 -> 2NaNO3 + H2O + CO2

Step 2: Convert volume of HNO3 to moles:

Moles of HNO3 = Volume (L) × Molarity

= 0.150 L × 0.15 M

= 0.0225 moles of HNO3

Step 3: Use stoichiometry to find moles of Na2CO3:

From the balanced equation, we can see that 2 moles of Na2CO3 react with 2 moles of HNO3.

Therefore, the moles of Na2CO3 required = 0.0225 moles of HNO3

Step 4: Convert moles of Na2CO3 to grams:

Molar mass of Na2CO3 = (2 × atomic mass of Na) + atomic mass of C + (3 × atomic mass of O)

= (2 × 22.99 g/mol) + 12.01 g/mol + (3 × 16.00 g/mol)

= 105.99 g/mol

Mass of Na2CO3 = Moles × Molar mass

= 0.0225 moles × 105.99 g/mol

= 2.384 g

d) Calculation:

The mass of Na2CO3 required to completely react with 150 mL of 0.15 M HNO3 is 2.384 grams.

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HELP 15-21 PLEASE ASAP!!

Answers

Answer:

15-21 is 6

Explanation:

What is the term for the limited recyclable life of certain materials? o single-stream recycling o closed-loop recycling O dual-stream recycling downcycling ​

Answers

Answer:

There are three main types of recycling: primary, secondary, and tertiary.Single-stream recycling is a system in which all recyclables, including newspaper, cardboard, plastic, aluminum, junk mail, etc., are placed in a single bin or cart for recycling. ... While collections costs are lower with a single stream system, processing costs are much higher.

Explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

What is the formula mass of the fictitious compound: AB2?

Answers

For a molecule AB2, 3.5g of A represents one molar fraction, and 8.00g B represents 2 molar fractions (or 4.0+4.0). Therefore, a direct ratio can be given as 3.5:4.0, or 1:1.14. This means a molecule AnBm will give a mass ratio for A:B of n:1.14xm

For a molecule AB, for every 1g of A, you will have 1.14g of B.

For a molecule AB2, for every 1g of A, you will have 2.28g of B.

For a molecule A2B3, for every 1g of A, you will have (1.14x3/2) 1.71g of B.

The blanks and bottom part please!
Thank you in advance

Answers

The complete sentences are:

When all the intermolecular bonds are broken, the transition between phases is complete.The energy of any substance includes the kinetic energy of its particles and the potential energy of the bonds between its particles.

What are the complete sentences on matter?

Page 3:

The effect of energy in phase transitions of matter is that it is required to break the intermolecular forces that hold the particles of a substance together. When energy is added to a substance, the particles move faster and the intermolecular forces are broken. This can cause the substance to change phase.

The interactive demonstration on the sample of water shows that energy is required to melt ice and boil water. When the ice is heated, the particles start to move faster and the ice melts. The temperature of the water stays constant at 0°C until all of the ice has melted. This is because the energy is being used to break the intermolecular forces in the ice. Once all of the ice has melted, the temperature of the water starts to rise again. When the water is boiled, the particles move so fast that they escape from the liquid state and become a gas. The temperature of the water stays constant at 100°C until all of the water has boiled. This is because the energy is being used to break the intermolecular forces in the water. Once all of the water has boiled, the temperature of the steam starts to rise again.

The complete sentences:

Water stays in a liquid state as the temperature and kinetic energy of the molecules increase from 0°C to 100°C. This consistency indicates that a larger amount of energy is necessary to break the intermolecular forces and change the state of matter. At the melting and boiling points, the temperature does not change because all of the energy is being used to break the intermolecular forces.The energy needed to overcome all the intermolecular forces between molecules must be greater than the potential energy of the bonds between molecules.The transition between phases is a physical change, not a chemical change.

Page 4:

Heating curves show the temperature of a substance as it is heated. The curve has a horizontal line at the melting and boiling points, which indicates that the temperature does not change during these phase changes.

Cooling curves show the temperature of a substance as it is cooled. The curve has a horizontal line at the melting and boiling points, which indicates that the temperature does not change during these phase changes.

Both curves show that the temperature of a substance increases as it is heated and decreases as it is cooled.

A heating curve is more choppy than a cooling curve because there are more phase changes during heating than during cooling.

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What happened when you mixed the two substances together? The substances changed into different substances. The substances changed into different substances. The substances did not change into different substances. The substances did not change into different substances. I am not sure if the substances changed into different substances. I am not sure if the substances changed into different substances.

Answers

Answer:

is this a poem or something?

Can someone please help me with 1,2,3 please

Answers

1: Solid—-A
2: Liquid—C
3 Gas—- B

TRUE OR FALSE
“Acids are electrolytes”

Answers

Answer:

True mark brainlest

Explanation:

true hope this helped

Which of the following substances will affect the solubility of BaF2 in aqueous solution? Select ALL that apply.
a. LiF
b. H2SO4
c. NaOH
d. BaCl2
e. KNO3

Answers

Factors that may influence the solubility of BaF₂ in an aqueous solution include the following substances: LiF, H₂SO₄, NaOH, BaCl₂, and KNO₃. (A,B,C,D)

Solubility is the ability of a solid to dissolve in a liquid to form a homogeneous mixture.

In an aqueous solution, the ability of a substance to dissolve is determined by various factors, including temperature, pressure, and the nature of the solvent and the solute. The concentration of the solute, pH, and the presence of other solutes or substances in the solution can all influence solubility.  (A,B,C,D)

The solubility of BaF₂, a sparingly soluble salt, is influenced by the presence of other substances. Lithium fluoride (LiF) and barium chloride (BaCl₂) both contain ions that could affect the solubility of BaF₂. Li⁺ and Ba²⁺, respectively, are cations, while F⁻ and Cl⁻ are anions.

When LiF or BaCl₂ is dissolved in water, their respective ions will react with the F⁻ and Ba²⁺ ions present in the BaF₂, respectively. These reactions result in the formation of LiBaF₃ and BaClF, respectively, and the BaF₂ becomes more soluble in the solution.

Similarly, NaOH and H₂SO₄ are strong electrolytes that dissociate in water to produce OH⁻ and H⁺ ions, respectively. These ions can react with the F⁻ ions in BaF₂, resulting in the formation of water and a soluble salt.

KNO₃, on the other hand, is a soluble salt that dissociates in water to produce K⁺ and NO₃⁻ ions. The presence of these ions can increase the solubility of BaF₂ in solution.

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A sample of milk is found to have arsenic at a concentration of 3.57 ug/L. What is the concentration in ounces per gallon? 1 qt 946.4 mL 1 gal 4 qt 16 oz- 1 lb 1 lb- 0.4536 kg A) 2.68 x 103 oz/gal B) 4.77 x 10-7 oz/gal C) 2.46 ozlgal D) 3.84 x 104 oz/gal E) 3.32 x 108 oz/gal

Answers

The concentration of arsenic in milk, which is 3.57 μg/L, can be converted to ounces per gallon. The correct answer is option D) 3.84 x 10^4 oz/gal.

To convert the concentration of arsenic from micrograms per liter (μg/L) to ounces per gallon (oz/gal), we need to follow a series of conversion steps. First, we need to convert micrograms (μg) to grams (g). There are 1,000 micrograms in a milligram (mg) and 1,000 milligrams in a gram, so 3.57 μg is equivalent to 0.00357 mg. Next, we need to convert milliliters (mL) to gallons (gal). Since 1 liter (L) is equal to 1,000 milliliters (mL) and 1 gallon is approximately 3,785.41 milliliters, we can calculate that 946.4 mL is approximately 0.25 gallons. Now, we can calculate the concentration in ounces per gallon. One pound (lb) is equal to 16 ounces (oz), and we know that 1 lb is approximately 0.4536 kg. Since 1 gallon is equal to 4 quarts (qt), and 1 quart is equal to 32 ounces, we can multiply all the conversion factors together:

0.00357 mg/L * 0.25 gal * 16 oz/lb * (1 lb/0.4536 kg) = 3.84 x 10^4 oz/gal

Therefore, the concentration of arsenic in ounces per gallon is approximately 3.84 x 10^4 oz/gal, which corresponds to option D).

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A 1.50 L buffer solution is a .250 M HF and .250 M in NaF. Calculate the pH of the solution after the addition of .0500 M NaOH (Ka for HF is 3.5 x 10^-4)

Answers

The pH of the solution after the addition of .0500 M NaOH is  12.70.

Buffer solution volume of the buffer solution = 1.50LConcentration of HF = 0.250 M

Concentration of NaF = 0.250 M

After the addition of NaOH

The concentration of NaOH = 0.0500 M

Ka of HF = 3.5 × 10⁻⁴

First of all, we have to determine the moles of HF and NaF initially present in the solution.

Initial moles of HF = Molarity × Volume of solution = 0.250

M × 1.50 L = 0.375 moles

Initial moles of NaF = Molarity × Volume of solution = 0.250 M × 1.50 L = 0.375 moles

After the addition of NaOH, HF, and NaF react with NaOH to form NaF and water as shown below.

HF + NaOH → NaF + H₂O(0.250 M) (excess)(0.0500 M) -x x

molarity of NaOH = 0.0500 M - x

[NaOH] = [NaF] = (initial moles of NaF - x)/Volume of solution

= (0.375 - x)/1.50

Initial moles of NaOH = Molarity × Volume of solution = (0.0500 M - x) × 1.50 L = 0.075 - 1.50 x

Initial moles of NaF = Initial moles of NaOH(As they react in 1:1 ratio)= 0.075 - 1.50 x

Initial moles of HF = 0.375 - x

Initial concentration of HF = (0.375 - x)/1.50= (0.250 - x/6)

After the reaction, the concentration of HF and F⁻ will change by the same amount that is - x and + x respectively.

[H⁺] [F⁻]/[HF] = Ka[H⁺] [0.375 + x]/[0.250 - x/6]

= 3.5 × 10⁻⁴[H⁺]

= 3.5 × 10⁻⁴ × (0.375 + x)/(0.250 - x/6)

As the solution is a buffer solution, pH = pKa + log [F⁻]/[HF]

pKa = -log Ka

= -log 3.5 × 10⁻⁴= 3.455

pH = 3.455 + log [0.375/(0.250 - x/6)]

The value of x can be calculated by using the ICE table. The values of [H⁺] and x will be very small as the concentration of NaOH added is very less.

So, x can be neglected.

x = [OH⁻] = 0.0500 M[H⁺] = Kw/[OH⁻] = 1.0 × 10⁻¹⁴/0.0500 M

= 2.0 × 10⁻¹³pH

= -log [H⁺] = -log (2.0 × 10⁻¹³)

= 12.70 (approx)

Therefore, the pH of the buffer solution after the addition of 0.0500 M NaOH is approximately 12.70.

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An electron is a positively charged particle inside of an atom, just like the proton.



True
False

Answers

Answer:

no it's is false because an electron have negative charges and it is not inside the atom and it is found out side the nucleus

false bc the electrons are negative not positive & electrons is found outside the nucleus

how do you think petals protect the internal structures of a plant?

Answers

Answer:

hmm that is a very tricky question. probably from over flooding with water

The petals of the flowers grow and fall off to make new ones when you feed it so it can survive again .

Is riding the bus or riding a bike a quicker way to get to school?

Answers

maybe riding a bike???
Definitely a bus not a bicycle

an substance that is being dissolved by another object?​

Answers

Answer:

Solute - The solute is the substance that is being dissolved by another substance. In the example above, the salt is the solute. Solvent - The solvent is the substance that dissolves the other substance.

Explanation:

Write a balanced equation from each line notation: a. (2 pts) Ag(s) Ag+(aq) || Cd2+(aq) Cd(s) b. (2 pts) Pb(s) Pb2+(aq) || MnO2(aq) | Mn2+(aq) | Pt(s)

Answers

a. The balanced equation from the line notation Ag(s) Ag+(aq) || Cd2+(aq) Cd(s) is given below;Ag(s) + Cd2+(aq) → Ag+(aq) + Cd(s)The given line notation represents an electrochemical cell where two half-cells are separated by a salt bridge.

The anode half-cell is on the left side of the double vertical line notation while the cathode half-cell is on the right side of the double vertical line notation. In the anode, oxidation takes place, and the electrode is considered negative, whereas in the cathode, reduction takes place, and the electrode is considered positive.b. The balanced equation from the line notation Pb(s) Pb2+(aq) || MnO2(aq) | Mn2+(aq) | Pt(s) is given below;Pb(s) + MnO2(s) + 4 H+(aq) → Pb2+(aq) + Mn2+(aq) + 2 H2O(l)The given line notation represents an electrochemical cell where two half-cells are separated by a salt bridge. The anode half-cell is on the left side of the double vertical line notation while the cathode half-cell is on the right side of the double vertical line notation. In the anode, oxidation takes place, and the electrode is considered negative, whereas in the cathode, reduction takes place, and the electrode is considered positive.

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Which of the following contains an element in a +1 oxidation state?CO2, PbO2, CaO, N2O5, Cu2O

Answers

The element Cu₂O (copper(I) oxide) contains a +1 oxidation state. Option E is correct.

This is because oxygen (O) typically has a -2 oxidation state, and since there are two oxygen atoms in Cu₂O, their combined oxidation state is -4. Therefore, in order for the compound to be electrically neutral, the oxidation state of copper must be +1.

CO₂ (carbon dioxide) contains carbon (C) in a +4 oxidation state and oxygen (O) in a -2 oxidation state.

PbO₂ (lead(IV) oxide) contains lead (Pb) in a +4 oxidation state and oxygen (O) in a -2 oxidation state.

CaO (calcium oxide) contains calcium (Ca) in a +2 oxidation state and oxygen (O) in a -2 oxidation state.

N₂O₅ (dinitrogen pentoxide) contains nitrogen (N) in a +5 oxidation state and oxygen (O) in a -2 oxidation state.

Hence, E. is the correct option.

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--The given question is incomplete, the complete question is

"Which of the following contains an element in a +1 oxidation state? A) CO₂, B) PbO₂, C) CaO, D) N₂O₅, E) Cu₂O

What is Chemical bond ?

Answers

Answer:

Chemical bonding, any of the interactions that account for the association of atoms into molecules, ions, crystals, and other stable species that make up the familiar substances of the everyday world.

Explanation:

Have a nice day:)

Answer: A connection between two surfaces or objects that have been joined together, especially by means of an adhesive substance, heat, or pressure.

Explanation: The bond may result from the electrostatic force or attraction between oppositely charged icons as in iconic bonds or through the sharing of electrons as in covalent bonds.

Brainliest and a free hug :) thank you!!
The mass in a chemical reaction is found in
the energy produced by the reaction
the explosion produced by the chemical reaction
the atoms involved in the chemical reaction
the bonds involved in the chemical reaction

Answers

Answer:atoms involved in reaction. Mass remains same in reaction

Explanation: hug would be fine!

How much heat will be produced when 0.58 moles of
hydrogen peroxide (H2O2) decomposes? *
98 kJ + 2H,02(1) → 2H2O(l) + O2(g)

Answers

Answer:57.6 kJ

Explanation:

One tank of gold fish is fed the normal amount of food once a day. A second tank is fed twice a day. A third tank is fed four times a day during a six week study. The fish's weight is recorded daily. What is the problem and the hypothesis?

Answers

Answer:

Problem: What is the effect of the amount of fish feed on the mass of goldfish?

Hypothesis: I think that feeding the goldfish four times a day will greatest increase in the mass of the goldfish.

Explanation:

The problem tends to ask question to which the research is conducted. It open ways for ideas towards a particular topic.

While the hypothesis is a tentative or assumed stand on a subject. It is further tested through an experiment or survey and if after many trials it gives same results and the obtained results is concordant with the hypothesis, the hypothesis will then become accepted and a theory or law is formed thereafter.

while in another country, you should always find out the voltage that is used in that counrrg

Answers

Answer:

Yes I agree

Explanation:

consider a hydrogen atom in the ground state. what is the energy of its electron? = j now consider an excited‑state hydrogen atom. what is the energy of the electron in the =5 level?

Answers

The energy of an electron in a hydrogen atom can be determined based on its quantum state. In the ground state, the energy of the electron is -13.6 eV.

In a hydrogen atom, the energy of the electron is quantized, meaning it can only exist in certain discrete energy levels. The ground state is the lowest energy level, where the electron resides when it is not excited. The energy of the electron in the ground state is a well-known constant value of -13.6 eV.

When the hydrogen atom is excited to an excited state, such as the n=5 level, the energy of the electron in that level can be determined using the formula E = -13.6 eV/n^2. Here, n represents the principal quantum number, which corresponds to the energy level. Plugging in n=5 into the formula, we find that the energy of the electron in the n=5 level is -13.6 eV/5^2 = -0.544 eV.

In summary, the energy of an electron in a hydrogen atom depends on its quantum state. The ground state has an energy of -13.6 eV, while an excited state, such as the n=5 level, can be calculated using the formula E = -13.6 eV/n^2. For the n=5 level, the energy of the electron is -0.544 eV.

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in a balanced exothermic reation, where does a heat term appear?

Answers

In a balanced exothermic reaction, the heat term appears on the product side of the chemical equation.

In a balanced chemical equation, the reactants and products are represented using chemical formulas and coefficients. The heat term, which represents the heat released or absorbed during the reaction, is often included as a separate term in the equation.

For an exothermic reaction, which releases heat to the surroundings, the heat term appears on the product side of the equation. It is typically denoted as a positive value since it represents the heat being released. The heat term is often written as "ΔH" or "heat" and may be accompanied by the corresponding value indicating the heat change.

The inclusion of the heat term allows us to account for the energy changes that occur during a chemical reaction. It provides information about the heat flow associated with the reaction and helps in understanding the thermodynamics of the process.

Therefore, in a balanced exothermic reaction, the heat term appears on the product side to indicate the heat being released.

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the top-level executive task of crafting a diversified company's overall or corporate strategy does not include which one of the following? Which of the following is true with regard to the global leader's role? A) Managers on international assignments do not represent the parent firm. B) The global leader's role comprises the interaction of two sets of variables, technology and information. C) The cumulative effects of one or more weak managers hardly have a significant negative impact on the ability of the organization to meet its objectives. D) Managers on international assignments try to maximize leadership effectiveness by juggling several important, and sometimes conflicting, roles. Benitez Security Systems has an annual demand for a camera security system of 1200 units. The cost of the camera system is $100. Carrying cost rate is estimated at 15%, and the ordering cost is $30 per order. If the owner orders 300 she can get a 2% discount on the cost of the cameras. The company operates 300 days per year, therefore the daily demand is 4 units per day and the lead time to receive an order from the supplier is 5 days. What should be their ordering amount based on EOQ? What are the total costs based on EOQ? What are the total costs if they take the discount? The statement that "inflation is always and everywhere afiscal phenomenon" is one of the most famous statements ineconomics it was made byPaul KrugmanJerome PowellThomas SargentRobert Solow David Gabel If the elasticity of demand is 4, and the price of a cup of coffee is $2, how much would the seller need to reduce her price in order to increase the quantity sold by 20 percent? Instructions: Enter your answer rounded to 2 decimal places (i.e in dollars and cents). The seller would need to reduce her price by: $[ 4.8 View previous attempt For many plants, carbon dioxide is a limiting factor.What happens when more carbon dioxide is available to plants?a.Plant growth increases.b.Plant growth stays the same.c.Plant growth decreases.d.Plant growth may increase or decrease. The demand function for a good is P = 125-Q5 (a) Find expressions for TR, MR and AR. 4 marks (b) Evaluate TR, MR and AR at Q=10. Hence, explain in words, the meaning of each function at Q = 10. 6 marks (e) Calculate the value of Q for which MR = 0. 4 marks 2. A firm's fixed costs are 1000 and variable costs are given by 3Q. (a) Write down the equation for TC. Calculate the value of TC when Q = 20. 3 marks (b) Write down the equation for MC. Calculate the value of MC when Q = 20. Describe, in words, the meaning of MC for this function. 4 marks 3. 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Part 1 What is the value of Samsung's preferred stock? how are island arcs created Does the following graph exist?A simple digraph with 3 vertices with in-degrees 0, 1, 2, and out-degrees 0, 1, 2 respectively?A simple digraph (directed graph) with 3 vertices with in-degrees 1, 1, 1 and out-degrees 1, 1, 1? Recall the last problem on Exam 2, which was about how a shelter cat should behave and whether Dave and Charlotte should adopt it. You should have found that the game had a semi- separating equilibrium. The payoff matrix in that game is shown below, with the cat's payoffs first. This numbering assumes that you numbered Nature's node as 1. (You can take a look at the exam solutions for how I got to this matrix, or to see the setup if you don't remember it.) DC A4L5 LALS CAT P2P3 64,-34 -58, 5 P2B3 -20, 18.5 -44, -26.5 a. Find and formally state the Bayesian-Nash equilibrium. Show your work, and if you are using decimals rather than fractions for any part of question 2, please go to four places after the decimal. Round carefully! b. If Dave and Charlotte observe that the Cat purrs, what is their posterior belief that the cat is Nice? What is their posterior belief that it is Mean? Show your work, using the method from class (HINT: you need to answer part "a" before you can do this part!) the aquilibrium from part "a" and Dave and Charlotte's posterior beliefs key inputs to the verification process include select the three correct answers A thermometer reading 22 Celsius is placed in an oven preheated to a constant temperature. Through a glass window in the oven door, an observer records that the thermometer read 31 after 39 seconds and 32 after 78 seconds. How hot is the oven? Increasing your OR ING leverage (increase in Fixed costs) usually involves an investment in fixed assets. One reason is to increase capacity to meet demand. Another KEY reason to increase leverage is to:___________ a. Reduce variable costs b. Reduce fixed costs c. increase borrowings d. Improve profits Ann wants to buy a property which costs $3,500,000. She gets a mortgage with 75% LTV. What is Anns Debt to Equity ratio for this purchase? A. 3:4 B. 3:1 C. 5:1 D. 4:1 Solve the separable differential equation y' = 3yx^2?. Leave your answer in implicit form. Use c for the constant of integration. log |y| = x^3 + c . . (5 points) Several statements about a differentiable, invertible function f(x) and its inverse f-1(x) are written below. Mark each statement as either "TRUE" or "FALSE" (no work need be included for this question). = 1. If f(-10) = 5 then 10 = f-1(5). 2. If f is increasing on its domain, then f-1 is decreasing on its domain. 3. If x is in the domain of f-1 then $(81(a)) 4. If f is concave up on its domain then f-1 is concave up on its domain. (Hint: think about the examples f(x) = em and f-1(x) = ln x.) 5. The domain of f-1 is the range of f. 3. (10 points) Determine where the function f(x) = 2x2 ln(x/4) is increasing and decreasing. Which of the following personality dimensions is typically associated with a person being nondepressed, secure, and content?a. Extroversion b. Adjustment c. Agreeablenessd. Conscientiousness e. Openness to experience