Which one of the following undergoes the most rapid nitration upon treatment with HNO3/H2SO4? A) toluene B) benzene C) bromobenzene D) nitrobenzene E) meta-dinitrobenzene

Answers

Answer 1

Benzene undergoes the most rapid nitration upon treatment with HNO₃/H₂SO₄ Option B is correct.

Nitration is a chemical reaction where a nitro group (-NO₂) is introduced into an organic compound. In this case, when benzene is treated with a mixture of nitric acid (HNO₃) and sulfuric acid (H₂SO₄), it undergoes electrophilic aromatic substitution to form nitrobenzene. Benzene has a high reactivity towards nitration due to its aromaticity, which provides a stable electron delocalization system.

The presence of electron-donating groups or substituents on the benzene ring can further increase its reactivity towards nitration. In comparison, toluene, bromobenzene, and meta-xylene are less reactive towards nitration, while nitrobenzene is already a product of nitration and would not undergo further rapid nitration. Option B is correct.

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Related Questions

Enthalpy of

CH4(g) + 2NO2(g) -> N2(g) + CO2(g) + 2H2O(l)

Answers

Answer:

-177.9 kJ.

Explanation:

Use Hess's law. Ca(s) + CO2(g) + 1/2O2(g) → CaCO3(s) ΔH = -812.8 kJ 2Ca(s) + O2(g) → 2CaO(s) ΔH = -1269.8 kJ We need to get rid of the Ca and O2 in the equations, so we need to change the equations so that they're on both sides so they "cancel" out, similar to a system of equations. I changed the second equation. Ca(s) + CO2(g) + 1/2O2(g) → CaCO3(s) ΔH = -812.8 kJ 2CaO(s) → 2Ca(s) + O2(g) ΔH = +1269.8 kJ The sign changes in the second equation above since the reaction changed direction. Next, we need to multiply the first equation by two in order to get the coefficients of the Ca and O2 to match those in the second equation. We also multiply the enthalpy of the first equation by 2. 2Ca(s) + 2CO2(g) + O2(g) → 2CaCO3(s) ΔH = -1625.6 kJ 2CaO(s) → 2Ca(s) + O2(g) ΔH = +1269.8 kJ Now we add the two equations. The O2 and 2Ca "cancel" since they're on opposite sides of the arrow. Think of it more mathematically. We add the two enthalpies and get 2CaO(s) + 2CO2(g) → 2CaCO3(s) and ΔH = -355.8 kJ. Finally divide by two to get the given equation: CaO(s) + CO2(g) → CaCO3(s) and ΔH = -177.9 kJ.

When we celebrate a new year we are really celebrating what?

Answers

We are celebrating a fresh start to another year

92.12 kJ of heat is required to convert 58.40 g of gold from liquid to gas phase. What is the heat of vaporization of gold in J/g?

Answers

Answer:

The heat of vaporization of the gold sample is 1577.397 joules per gram.

Explanation:

The latent heat of vaporization of gold ([tex]h_{v}[/tex]), in kilojoules per gram, is the heat required by a unit mass of gold to transform the material from liquid to gas:

[tex]h_{v} = \frac{E}{m}[/tex] (1)

Where:

[tex]E[/tex] - Energy required for vaporization, in joules.

[tex]m[/tex] - Mass, in grams.

If we know that [tex]E = 92120\,J[/tex] and [tex]m = 58.40\,g[/tex], then the heat of vaporization of the gold sample is:

[tex]h_{v} = \frac{E}{m}[/tex]

[tex]h_{v} = 1577.397\,\frac{J}{g}[/tex]

The heat of vaporization of the gold sample is 1577.397 joules per gram.

How are organisms classified as Eukarya different from organisms classified as Archaea and Bacteria?

A)They are all multicellular.
B)They all produce their own food.
C) They all reproduce sexually.
D) They all have membrane-bound nuclei

Answers

Answer: D

Explanation: The Eukarya differ from the Archea and Bacteria in that their cells are eukaryotic, meaning they contain a membrane enclosed nucleus and other membrane enclosed organelles.

Eukarya is different from organisms classified as Archaea and Bacteria because Eukarya have membrane-bound nuclei. Therefore, option (D) is correct.

How does the classification of Eukarya differ from Archaea?

The type of cell of the organism can be classified into three domains. First is the bacteria which have no nucleus present in cells. Then Archaea have no nucleus in the cells but they have a different cell wall than bacteria. Then Eukarya have a nucleus in them.

The domains of Archaea and Bacteria are both composed entirely of small, single-celled organisms but they also have differences. All are composed of prokaryotic cells, which are nucleus-less cells.  T

All the cells in the Eukarya domain contain their genetic material or DNA within the nucleus. Four classes make up the Eukarya domain: Plantae, Fungi, Animalia, and Protista.

Therefore, the domain of the Eukarya is different from organisms classified as Archaea and Bacteria as Eukarya have membrane-bound nuclei.

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A 0.330 gram sample of an unknown, monoprotic acid (the molar ratio between acid and base is 1-to-1) was dissolved in 50.0 mL of water and titrated to equivalence point with 22.00 mL of 0.150 M NaOH. Determine the molar mass of the the unknown aci

Answers

The molar mass of the unknown monoprotic acid will be approximately 100 g/mol.

To determine the molar mass of unknown monoprotic acid, we will use the concept of stoichiometry.

First, let's calculate the number of moles of NaOH used in the titration:

Moles of NaOH = concentration of NaOH × volume of NaOH used

= 0.150 mol/L × 0.02200 L

= 0.00330 mol

Since the acid and base have a 1-to-1 molar ratio, the number of moles of the unknown acid is also 0.00330 mol.

Next, let's calculate the molar mass of the unknown acid:

Molar mass of the unknown acid = mass of the unknown acid / moles of the unknown acid

We are given the mass of the unknown acid as 0.330 grams and the moles of the unknown acid as 0.00330 mol.

Molar mass = 0.330 g / 0.00330 mol

= 100 g/mol

Therefore, the molar mass is 100 g/mol.

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what were the advantages and disadvantages of each measuring device?

Answers

To assess the advantages and disadvantages of different measuring devices, specific devices need to be mentioned. Without specific devices, a comprehensive analysis of their advantages and disadvantages is not possible.

The advantages and disadvantages of measuring devices vary depending on the specific device and its application. Different devices have unique features and limitations that affect their accuracy, precision, ease of use, and suitability for different measurements. For example, consider two commonly used measuring devices: a ruler and a digital caliper. A ruler, while simple and inexpensive, may have limitations in terms of precision and accuracy due to human error in reading the markings. On the other hand, a digital caliper offers higher precision and accuracy, as it provides digital readouts and can measure small distances with greater precision. However, digital calipers may be more expensive and require batteries for operation.

Other factors to consider when evaluating measuring devices include durability, range of measurements, calibration requirements, ease of calibration, portability, and the specific needs of the measurement task at hand. To provide a more detailed analysis, it would be helpful to specify the measuring devices being compared.

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How is enthalpy related to the spontaneity of a reaction?
A. AH=0 contributes to spontaneity.
B. AH<0 contributes to spontaneity.
C. AH> 0 contributes to spontaneity.
D. AH does not affect spontaneity.

Answers

Answer:

D

Explanation:

Gibb's free energy change(∆G) and Standard electrode potential of electrochemical (Ecell) determine the spontaneity of a reaction.

when ∆G > 0, the reaction is not spontaneous

∆G < 0, the reaction is spontaneous

∆G = 0, the reaction is in equilibrium

when Ecell > 0, the redox reaction is spontaneous

Ecell < 0, the redox reaction is not spontaneous

Ecell = 0, the redox reaction is in equilibrium.

ΔH < 0 contributes to spontaneity.

What is a spontaneous reaction?A spontaneous reaction is one that takes place naturally under a certain set of circumstances. The general entropy, or chaos, of the system increases in the presence of spontaneous reactions.

How can we determine if a reaction is spontaneous or not?

We can determine it by calculating Gibb's free energy.

How do we calculate Gibb's free energy?

It is calculated by the formula:

ΔG = ΔH - TΔS

ΔG is the change in Gibb's free energy,ΔH is the change in the enthalpyΔS is the change in entropy.

How does ΔG tells if a reaction is spontaneous or not?If ∆G > 0, the reaction is not a spontaneous reaction∆G < 0, the reaction is a spontaneous reaction∆G = 0, the reaction is in equilibrium

How does ΔH contribute to the spontaneity of the reaction?For a reaction to be a spontaneous reaction, ∆G < 0.Consider a reaction, ΔG will be calculated as ΔH - TΔSIf ∆H < 0 then the ΔH - TΔS will be a lesser value ( more negative) than it would have been when ∆H = 0 or ∆H > 0.Therefore  ∆H < 0 contributes to spontaneity.

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How is structure linked to function?




please no upload files.

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Answer:In biology, a key idea is that structure determines function. In other words, the way something is arranged enables it to play its role, fulfill its job, within an organism. Structure-function relationships arise through the process of natural selection.

During strenuous exercise, lactic acid builds up in muscle tissues. In a 1.00 M aqueous solution, 2.94% of lactic acid is ionized. What is the value of Ka for lactic acid?

Answers

The value of Ka for lactic acid is approximately 0.0303. To find the value of Ka for lactic acid, we can use the ionization percentage and the initial concentration of the acid.

Given that 2.94% of lactic acid is ionized in a 1.00 M solution, we can calculate the concentration of the ionized form ([tex]CH_{3}CH(OH)COO-[/tex]) by multiplying the ionization percentage by the initial concentration of the acid: [[tex]CH_{3}CH(OH)COO-[/tex]] = 2.94% × 1.00 M = 0.0294 M

Since lactic acid ([tex]CH_{3}CH(OH)COO-[/tex]) is a monoprotic acid, the concentration of the undissociated form is equal to the initial concentration minus the concentration of the ionized form: [[tex]CH_{3}CH(OH)COOH[/tex]] = 1.00 M - 0.0294 M = 0.9706 M

The equilibrium expression for the ionization of lactic acid can be written as: Ka = [[tex]CH_{3}CH(OH)COO-[/tex]] / [[tex]CH_{3}CH(OH)COOH[/tex]]

Substituting the values, we get: Ka = 0.0294 M / 0.9706 M = 0.0303

Therefore, the value of Ka for lactic acid is approximately 0.0303.

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What are the two most recent fossils that have been found in New york?

Answers

cie

Explanation:cioserra s ojs queengo o m me vengoe volo

The most recent is one found in petrified forest and it’s 220 million years old

Zeke knows that there are several layers of sediment underneath his town. The top layer is soil, the next layer is clay, and the next layer is made up of gravel. He suspects that polluted water from a nearby mine is passing through one of these layers and making it into a local river. What could Zeke do to figure out how the polluted water might be moving from the mine to the river? A. He could build a model of the mine and test how deep it can go before it collapses. B. He could remove water from the mine and test it for certain pollutants. C. He could build a model of the soil layers and test if water passes through any of them. D. He could pour polluted water on the ground and test how long it takes for it to reach the river.

Answers

Answer:

He could add a model of soil layers.

Explanation: C

In an ecosystem where water from mine is polluting river it can be tested by building a model of the soil layers and test if water passes through any of them.

What is an ecosystem?

Ecosystem is defined as a system which consists of all living organisms and the physical components with which the living beings interact. The abiotic and biotic components are linked to each other through nutrient cycles and flow of energy.

Energy enters the system through the process of photosynthesis .Animals play an important role in transfer of energy as they feed on each other.As a result of this transfer of matter and energy takes place through the system .Living organisms also influence the quantity of biomass present.By decomposition of dead plants and animals by microbes nutrients are released back in to the soil.

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A combustion reaction is a common reaction used to produce energy. Write a combustion reaction for the combustion of ethanol, C₂H5OH. View Available Hint(s) C,HyOH + 3 Oz → 2 CO, + 3 H,O C₂H5OH(

Answers

Combustion reaction is a common reaction used to produce energy. The reaction that describes the combustion of ethanol, C₂H5OH is as follows:

C₂H5OH + 3O₂ → 2CO₂ + 3H₂O
The energy released by the combustion reaction is used to generate electricity or to power machines and vehicles.

This reaction is a chemical process in which a fuel reacts with oxygen to produce heat and light energy. Ethanol is a colorless liquid with a formula of C₂H₅OH. It is an important biofuel and is commonly used as a fuel additive to gasoline. In the combustion process, ethanol reacts with oxygen to produce carbon dioxide and water vapor.Combustion reactions are exothermic reactions that release energy in the form of heat and light. They are commonly used in engines and power plants to produce energy from fuels. The energy released by the combustion reaction is used to generate electricity or to power machines and vehicles.

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a 0.0280 m solution of an organic acid has an [h ] of 1.60×10-3 m .Using the values above, calculate the pH of the solution. What is the percent ionization of the acid? Calculate the Ka value of the acid.

Answers

The pH of the solution is 2.80, the percent ionization of the acid is 5.71%, and the Ka value of the acid is 9.14 × 10-5.

A.0280 M solution of an organic acid has an [H] of 1.60×10-3 M.Using the values above, the pH of the solution, the percent ionization of the acid, and the Ka value of the acid are given below:pH of the solution: The formula for calculating the pH of a solution is as follows:pH = -log[H] = -log[1.60 × 10-3] = 2.80Percent ionization of the acid:Percent ionization is given by the following formula:Percent ionization = ( [H+]/[HA] ) × 100 = (1.60 × 10-3/0.0280) × 100 = 5.71%Ka value of the acid:The formula for calculating the Ka value of an acid is as follows:Ka = [H+]2 / [HA]Ka = [1.60 × 10-3]2 / [0.0280]Ka = 9.14 × 10-5Hence, the pH of the solution is 2.80, the percent ionization of the acid is 5.71%, and the Ka value of the acid is 9.14 × 10-5.

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What is the goal of mitosis? Of meiosis?

Answers

The main goal of mitosis is to line up duplicated chromosomes and to split them equally, resulting in two cells with the same number of chromosomes

Energy pyramid worksheet
Pls help

Answers

I do know that hisbicus flower may be at the top sorry if not!!

Answer:

From top to bottom Jaguar, Toucan, Butterfly, and Hibiscus flower

Explanation:

Jaguars at the top because they eat toucans, Toucans eat butterflies, and butterflies eat hibiscus flower

balance
A FeS2 + B O2 → C Fe2O3 + D SO2 *

Answers

Answer:

4FeS2 + 6O2 > 2Fe2O3 + 8SO2

Explanation:

Occurs in many complex organisms such as plants, animals and fungi

Answers

Answer:

DNA

Explanation:

The eukaryotic cell participates in the formation of complex organisms and contains a nucleus, cytoplasmic organelles, and a cytoskeleton.

In a eukaryotic cell, DNA is contained in a compartment called the nucleus, which is enclosed by a membrane.

The answer should be DNA based on the wording of the question. Hopefully this helped a little bit.

What is the proper disposal of all chemicals in this reaction? Briefly explain any hazards associated with barium nitrate and silver nitrate

Answers

Barium nitrate is toxic if ingested or inhaled, while silver nitrate is corrosive and can cause severe skin and eye irritation.

What are the potential hazards associated with barium nitrate and silver nitrate, and how should they be properly disposed of?


Barium nitrate is toxic if ingested or inhaled, posing risks to the respiratory, cardiovascular, and nervous systems. It can also harm aquatic life if released into water bodies. Silver nitrate is corrosive and can cause severe irritation and burns to the skin and eyes. To properly dispose of these chemicals, consult local waste management authorities for specific guidelines. Follow any recommended neutralization procedures, use suitable containers for storage, and label them clearly with the contents and hazards. Engage a licensed waste disposal company or hazardous waste facility to ensure proper collection and disposal. Adhering to local regulations and best practices is crucial to minimize the environmental and health risks associated with these chemicals.

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For the following equilibrium, BaSO4(s) = Ba² + (aq) + S0 - (aq) if HCl is added, how will the quantities of each species change? Select the correct answer below: [Ba2+] increases, (so-1 decreases, mass of solid decreases O [Ba? +1 decreases, (so 1 decreases, mass of solid decreases [Ba? increases, so increases, mass of solid increases [Ba²+] decreases, (so increases, mass of solid increases

Answers

Adding HCl to the equilibrium BaSO4(s) ⇌ Ba²+(aq) + SO4²-(aq) will result in an increase in [Ba²+] and a decrease in [SO4²-]. The mass of the solid BaSO4 will also decrease.

When HCl is added, it dissociates into H+ and Cl- ions. The H+ ions react with the SO4²- ions from the dissociation of BaSO4, forming HSO4- ions and shifting the equilibrium to the right. As a result, more Ba²+ ions are released into the solution, leading to an increase in [Ba²+]. On the other hand, the decrease in [SO4²-] occurs because some of the SO4²- ions combine with H+ ions to form HSO4-. Since the equilibrium is being driven towards the products, the concentration of Ba²+ increases, [SO4²-] decreases, and the mass of the solid BaSO4 decreases.

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A reaction in which A,B, and C react to form products is zero order in A, one-half order in B and second order in C.
(b) What is the overall order of the reaction?
(c) By what factor does the reaction rate change if A is doubled (and the other reactant concentrations are held constant)? Express your answer numerically.

Answers

The overall order of the reaction is 2.5.

The reaction rate will not change if A is doubled,

What is the order of reaction?

We add together the individual orders of the reactants to get the reaction's overall order.

We have the following when the reaction has zero order in A, half order in B, and second order in C:

Order as a whole: 0 + 1/2 + 2 = 2 1/2 or 2.5

As a result, the reaction's overall order is 2.5.

We must comprehend how the response rate varies with the concentration of A in order to calculate the factor by which the rate changes when A is doubled. Doubling the concentration of A won't change the reaction's pace because the reaction is zero order in A.

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Consider the equilibrium system described by the chemical reaction below, which has a value of Kc equal to 1.79 at a certain temperature. If a reaction mixture initially contains 0.050 M H2S and 0.050 M SO2, what will the equilibrium concentration of H20 be? 2 H2S(g) + SO2(g) ⇄ 3 S(s) + 2 H2O(g)

Answers

Equilibrium is a state of a reversible chemical reaction where the rates of forward and reverse reactions become equal, which results in the concentration of reactants and products being constant.

The chemical equation of the system described above is:2 H2S(g) + SO2(g) ⇄ 3 S(s) + 2 H2O(g)This system has an equilibrium constant (Kc) equal to 1.79 at a certain temperature. When the reaction mixture initially contains 0.050 M H2S and 0.050 M SO2, the equilibrium concentration of H2O can be found out as follows:As per the given equation, the mole ratio of H2S to H2O is 2:2 or 1:1. Therefore, the initial concentration of H2O is zero.The initial concentration of H2S is 0.050 M.Therefore, according to the equilibrium constant expression for this reaction, we can say that:[tex]\begin{align*}{K_c}&=\frac{\mathrm{[S]^3[ H_2O]^2}}{\mathrm{[ H_2S]^2[SO_2]}} \\ \\{1.79}&=\frac{\mathrm{(0.0.0.050)^2 [H_2O]^2}}{\mathrm{(0.050)^2 (0.050)}} \\ \\{1.79} \times \mathrm{(0.050)^3}&= \mathrm{[H_2O]^2} \\ \\{\mathrm{[H_2O]}}&= \sqrt{\mathrm{1.79} \times \mathrm{(0.050)^3}} \\ \\{\mathrm{[H_2O]}}&= \mathrm{0.027\ M} \end{align*}[/tex]Thus, the equilibrium concentration of H2O is 0.027 M.

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In the following molecules, the primary intermolecular attractive force is

Answers

Answer:

Dipole-dipole

Explanation:

A gas sample at 40° C occupies a volume of 3.22 L. If the temperature is raised to 55°C, what will the volume be, assuming the pressure remains constant?

Answers

Answer:

3.374L

Explanation:

According to Charle's Law:

V1/T1=V2/T2 (At constant pressure and moles)

where V=Volume and T=Temperature.

The temperature must be in kelvin.

K=C°+273

T1=40+273=313K

T2=55+273=328K

By applying the formula, we get:

3.22/313=V2/328

V2=(3.22*328)/313

V2=3.374L

Which of the following are conjugate acid/base pairs? Select all that apply.
a. NaCl and NaOH
b. HCl and Cl-
c. H2SO4 and SO42-
d. H3PO4and H2PO4-
e. H2CO3 and CO32

Answers

The following are conjugate acid/base pairs:

HCl and Cl-.H2SO4 and SO42-.H3PO4 and H2PO4-.H2CO3 and CO32-.

Explanation:

In the acid-base reaction, the acid donates the proton (H+) while the base receives the proton. The substance that loses its proton becomes a conjugate base while the substance that gains a proton becomes the conjugate acid.

The conjugate acid/base pairs differ by one proton (H+).

NaCl and NaOH are not conjugate acid/base pairs as they are not acids or bases. NaOH is a strong base while NaCl is a neutral salt.

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The diagram shows a large, eroded rock tower found in Southern Utah.
Which most likely caused the erosion?
C sunlight
O A animals
D. water
B. plants

Answers

Sunlight not sure tho but I think is sunlight

For the reaction
2S(s)+ 3O2\rightarrow 2SO3(g)
how many moles of SO3 can be produced from 6.0 g O2 and excess S?
Group of answer choices
none of these
0.28 mol SO3
4.0 mol SO3
0.25 mol SO3
0.13 mol SO3

Answers

To determine the number of moles of SO3 produced, we need to use the stoichiometry of the balanced equation.

The balanced equation tells us that 3 moles of O2 react with 2 moles of S to produce 2 moles of SO3. Therefore, the molar ratio between O2 and SO3 is 3:2.

To find the moles of SO3 produced from 6.0 g of O2, we need to convert the mass of O2 to moles using its molar mass. The molar mass of O2 is approximately 32 g/mol.

Moles of O2 = mass of O2 / molar mass of O2

Moles of O2 = 6.0 g / 32 g/mol

Moles of O2 = 0.1875 mol

Using the molar ratio, we can calculate the moles of SO3 produced:

Moles of SO3 = (0.1875 mol O2) x (2 mol SO3 / 3 mol O2)

Moles of SO3 = 0.125 mol

Therefore, the correct answer is 0.13 mol SO3.

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please help I'm stuck
7. Which of the following correctly defines an acid-base reaction?
a. redox reaction
b. neutralization reaction
C. combustion reaction
d. hydrolysis reaction​

Answers

Answer:

b

Explanation:

HELP GUYS PLEASE IM SUPPOSED TO ANSWER THIS VERY QUICKLY PLEASE

Answers

Answer:

Explanation:

It is b

enzymes act as catalysts because they: group of answer choices decrease the enthalpy of the products. increase the entropy of the products.

Answers

Enzymes act as catalysts because they decrease the activation energy required to initiate a chemical reaction.

Why enzymes are considered as catalysts?

Enzymes are molecules that accelerate chemical reactions by lowering the energy barrier (activation energy) for the transition state of the reaction. Enzymes bind to substrates, which are the reactants of the reaction.

The binding of the substrate to the enzyme lowers the energy required to transition the reactants to the transition state. This results in the lowering of activation energy that is required for a reaction to proceed

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please help me with these questions, im not understanding :(

Answers

Answer:

this is all the answers i hope you have a good day

Explanation:

may i please have a branlliests

Other Questions
The international market is always the target of any business,but it is not easy. So what do domestic businesses need to prepareto approach this potential market? A firm pays a $1.30 dividend at the end of year one. It has a share price of $50 (P0) and a constant growth rate (g) of 11 percent.a. Compute the required (expected) rate of return (Ke). (Do not round intermediate calculations. Round the final answer to 2 decimal places.)Required rate of return %Also indicate whether each of the following changes would make the required rate of return (Ke) go up or down. (In each question below, assume only one variable changes at a time. No actual numbers are necessary.)b. If the dividend payment increases; Ondec. 31, 2020, ABC Corp issued 4-year, 7% bonds with $3,000,000 aspar value. ABC Corp. received $3,360,000 in cash. the bond interestis paid semiannually on june 30 and December 31 every year.C True/False: variable costs change in direct proportion to a change in the activity level. A 5 year semiannual coupon bond with a face value of $1000 trades at $891. The market-determined discount rate is 7%. What is the coupon rate? Answer in percent and round to two decimal places. The canonical utility function employed in microeconomics disregards important factors meadiating in the consumption-utility relationship, including A diminishing marginal utility B the fact that the utility function is increasing in the consumption level hedonic adaptation, consumption aspirations and personality (D) two of the other answers are correct q w b r s how many -letter code words can be formed from the letters if no letter is repeated? if letters can be repeated? if adjacent letters must be different? AAA Inc. paid $10,000 cash for rent for 6 months. How should this transaction be recorded? Select one: a. Increase prepaid rent; decrease cash b. Decrease cash; decrease accounts payable c. Increase accounts payable; increase rent expense d. Decrease cash; increase rent expense the american propensity to take, seize, and hold ground with large numbers is reflected in the formation used by the army in world war i called the A culture of yeast grows at a rate proportional to its size. If the initial population is 4000 cells and it doubles after 2 hours, answer the following questions.1. Write an expression for the number of yeast cells after t hours.Answer: P(t)=2. Find the number of yeast cells after 6 hours.Answer:3. Find the rate at which the population of yeast cells is increasing at 6 hours.Answer (in cells per hour): In order for information to be moved from sensory memory to working memory, it must be given sufficient _____ in full costing, when does fixed manufacturing overhead become an expense? b. use the rank nullity theorem to explain whether or not it is possible for to be surjective. Depreciation is an example of cost incurred by a business in the past. Such non-cash expenses should not be considered for decision making from the perspective of finance, even if they would reduce the reported profits. O True O False Assuming normal distribution, what would be the proportion of observations falling within one standard deviation of the mean? 1.O 25% 2.O 32% 3.O 50% 4. O 68% 5.O 75% A population has mean 555 and standard deviation 40. Find the mean and standard deviation of sample means for samples of size 50. Find the probability that the mean of a sample of size 50 will be more than 570. 2. A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles. Five such tires are manufactured and tested. On the assumption that the actual population mean is 38,500 miles and the actual population standard deviation is 2,500 miles, find the probability that the sample mean will be less than 35,000 miles. Assume that the distribution of lifetimes of such tires is normal. A normally distributed population has mean 1,200 and standard deviation 120. Find the probability that a single randomly selected element X of the population is between 1,100 and 1,300. Find the mean and standard deviation of X for samples of size 25. Find the probability that the mean of a sample of size 25 drawn from this population is between 1,100 and 1,300. 4. Suppose the mean weight of school children's book bags is 17.5 pounds, with standard deviation 2.2 pounds. Find the probability that the mean weight of a sample of 30 book bags will exceed 18 pounds. 5. The mean and standard deviation of the tax value of all vehicles registered in NCR are u-550,000 and o=80,000. Suppose random samples of size 100 are drawn from the population of vehicles. What are the mean ux and standard deviation ox of the sample mean X? 6. The IQs of 600 applicants of a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 12. If the college requires an IQ of at least 95, how many of these students will be rejected on this basis regardless of their other qualifications? 7. The transmission on a model of a specific car has a warranty for 40,000 miles. It is known that the life of such a transmission has a normal distribution with a mean of 72,000 miles and a standard deviation of 12,000 miles. What percentage of the transmissions will fail before the end of the warranty period? What percentage of the transmission will be good for more than 100,000 miles? Two schools conduct a survey of their students to see if they would be interested in having free tutoring available after school. We are interested in seeing if the first school population has a lower proportion interested in tutoring compared to the second school population. You wish to test the following claim (H) at a significance level of a = 0.005. H:P1 = P2 H:P psychotherapists who employ psychoanalytic methods decribe a client's mental blocks as; what are some types of rich media ads, and what are theirgeneral advantages and disadvantages? if the position of a particle on the x-axis at time t is 5t2 , then the average velocity of the particle for 0 t 3 is Let A = [-1 -4 3 -1] To find the eigenvalues of A, you should reduce a system of equations with a coefficient matrix of (Use L to represent the unknown eigenvalues)