Write balanced equations and Kb expressions for these Brønsted-Lowry bases in water:HPO₄²⁻

Answers

Answer 1

Steps for Writing a Bronsted-Lowry Equation.

   Find the relative strengths of acids and bases. ...    Determine if the reaction will occur. ...    Determine whether reaction is quantitative. ...    Determine whether reactants or products are favored. ...    Determine the extent of the reaction.

What is an example of a Bronsted-Lowry base?

Bronsted-Lowry Base

Example 2: A reaction between acetic acid and water, acetic acid donates a proton and acts like acid and water molecule (base) takes a proton.

What is the difference between Bronsted acid and Bronsted base?

A Brønsted-Lowry acid is any species that can donate a proton (H+) to another molecule. A Brønsted-Lowry base is any species that can accept a proton from another molecule.

Learn more about base here:

https://brainly.com/question/3948796#SPJ4


Related Questions

(T/F) the action of the sodium-potassium pump is an example of passive transport.

Answers

Then statement is False.

The action of the sodium-potassium pump is an example of active transport, not passive transport.

Passive transport refers to the movement of substances across a membrane without the use of energy. Examples of passive transport include diffusion and osmosis.

In contrast, active transport requires energy to move substances against their concentration gradient. The sodium-potassium pump uses ATP to move sodium ions out of the cell and potassium ions into the cell, against their concentration gradients. This process is essential for maintaining the proper balance of ions inside and outside of the cell, and it requires energy, making it an example of active transport.

To learn more about sodium-potassium pump refer to:

brainly.com/question/29704319

#SPJ4

Using the periodic table, complete the table to describe each atom. Type in your answers.

A
B
C
D
E
F

Using the periodic table, complete the table to describe each atom. Type in your answers.A B C D E F

Answers

A=8
B=8
C= nitrogen (N)
D=26
E=30
F= iron (Feh

Answer:

A- 8

B- 8

C- O

D- 26

E- 30

F- Fe

Explanation:

a partial reaction order is described by which of the following? select the correct answer below: a partial reaction order is the proportionality value in the relationship between reaction rate and concentrations of reactants. a partial reaction order is the value of an exponent associated with a particular reactant in a rate law. a partial reaction order is the sum of the reaction orders for each substance represented in the rate law. a partial reaction order is the proportionality constant in the arrhenius equation.

Answers

A partial reaction order will be described by a partial reaction order is the value of an exponent associated having a particular reactant in a rate law. Option B is correct.

In a rate law equation, the partial reaction order refers to the exponent to which the concentration of a particular reactant is raised. For example, in rate law expression:

rate = \(K[A]^{m^{}\)\([B]^{n}\)

where "rate" is the rate of the reaction, "k" is the rate constant (a proportionality constant that depends on temperature and other factors), and "[A]" and "[B]" represent the concentrations of the reactants A and B, respectively. The exponents "m" and "n" are the partial reaction orders for the respective reactants, which determine how the rate of the reaction changes with changes in the concentrations of those reactants.

The rate law equation is determined experimentally by measuring the rate of the reaction under different conditions of reactant concentrations and then analyzing the data to determine the values of the rate constant and the partial reaction orders.

Hence, B. a partial reaction order is value of an exponent associated having a particular reactant in the rate law is the correct option.

To know more about reaction order here

https://brainly.com/question/10054081

#SPJ4

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

"A partial reaction order is described by which of the following? select the correct answer below: A) a partial reaction order is the proportionality value in the relationship between reaction rate and concentrations of reactants. B) a partial reaction order is the value of an exponent associated with a particular reactant in a rate law. C) a partial reaction order is the sum of the reaction orders for each substance represented in the rate law. D) a partial reaction order is the proportionality constant in the arrhenius equation.

The molar mass of an element is numerically equal to:.

Answers

Answer:

the molar mass of an element is numerically equal to atomic mass in grams-

Absorption of ultraviolet light by organic molecules always results in what process?A.Bond breakingB.Excitation of bound electronsC.Vibration of atoms in polar bondsD.Ejection of bound electrons

Answers

B) Absorption of ultraviolet light by organic molecules always results is Excitation of bound electrons.

B is the response to this query. Electronic excitation always happens when organic compounds absorb ultraviolet light. Bond breaking, ionization, or bond vibration may then follow, but none of these outcomes is assured by the absorption of UV light.

Due to the ultraviolet light's high frequency, which causes the electrons in an atom's outer shell to leap out of their ground state when excited, organic molecules that absorb ultraviolet light cause the bound electron to be excited. The energy that is transferred from the light to the atoms is what is causing this excitation.

To know more about ultraviolet:

https://brainly.com/question/3091095

#SPJ4

What is the ratio of [h 2po 4 -] to [hpo 4 2-] at ph 6.4 if the pka of h 2po 4 - is 7.4?

Answers

The Henderson-Hasselbalch equation allows us to determine the relative concentrations of an acid and its conjugate base based on the pH of the solution and the pKa of the acid. At pH 6.4, the ratio is 0.1.

The Henderson-Hasselbalch equation is a mathematical relationship that relates the pH of a solution to the ratio of the concentration of an acid and its conjugate base. It is commonly used in chemistry and biochemistry to describe the acid-base equilibrium.

To determine the ratio of \([H-2PO_4-]\) to \([HPO_4^2-]\) at pH 6.4, we can use the Henderson-Hasselbalch equation:

\(pH = pKa + log([A-]/[HA])\)

In this case, \(H_2PO_4-\) is the acid (HA) and \(HPO_4^2-\) is its conjugate base (A-).

Given that the pKa of \(H_2PO_4-\) is 7.4, we can substitute the values into the equation:

\(6.4 = 7.4 + log([HPO_4^2-]/[H_2PO_4-])\)

Simplifying the equation:

\(-1 = log([HPO_4^2-]/[H_2PO_4-])\\[HPO_4^2-]/[H_2PO_4-] = 10^{(-1)} = 0.1\)

Therefore, at pH 6.4, the ratio is 0.1.

For more details regarding the Henderson-Hasselbalch equation, visit:

https://brainly.com/question/31495136

#SPJ4

is water vapor more or less dense than n2 under the same conditions of temperature and pressure?

Answers

Answer:

Under the same conditions and assuming ideal gas behavior, both gases should have the same number of moles. This means the higher the molar mass the denser the gas. Water vapor would be less dense than N2 under the same conditions.

Explanation:

Find the mass of 50% CaCO3 which will produce
136 g of CaSO4? (Molar mass of CaCO3 = 100 g;
Molar mass of CaSO4 = 136 g)
CaCO3 + H2SO4 → CaSO4 + H2O + CO2
(1) 100 g (2) 200 g
(3) 300 g (4) 400 g

Answers

Answer:

Explanation:

From the balanced chemical equation, we can see that one mole of CaCO3 reacts with one mole of CaSO4. Therefore, we can use the molar mass of CaCO3 and the given amount of CaSO4 to calculate the amount of CaCO3 needed, and then convert it to mass.

Number of moles of CaSO4 = Mass / Molar mass

Number of moles of CaSO4 = 136 / 136

Number of moles of CaSO4 = 1

Since the reaction is 1:1, the number of moles of CaCO3 required is also 1. Therefore, we can use the molar mass of CaCO3 to calculate the mass required:

Mass of CaCO3 = Number of moles x Molar mass

Mass of CaCO3 = 1 x 100

Mass of CaCO3 = 100 g

Therefore, the answer is (1) 100 g.

PLS MARK ME BRAINLIEST

use the definitions of acids and bases as proton donors and proton acceptors to explain which functional group in the zwitterion form of an amino acid is an acid and which is a base. (see section 10.3 in the textbook.) check all that apply.
the -COO- group is a base the --NH group is a base the-NH, group is an acid the-C00 group is an acid

Answers

In the zwitterion form of an amino acid, the -COO- group can act as a base by accepting a proton and becoming -COOH. On the other hand, the -NH2 group can act as an acid by donating a proton and becoming -NH3+. Therefore, the correct answer is: - the -COO- group is a base - the -NH2 group is an acid.

In the zwitterion form of an amino acid, the functional groups that act as acids and bases are the carboxyl group (-COOH) and the amino group (-NH2).

An acid is a proton donor, and the carboxyl group (-COOH) in the zwitterion form can donate a proton, forming the -COO- group.

Therefore, the -COOH group is an acid. A base is a proton acceptor, and the amino group (-NH2) in the zwitterion form can accept a proton, forming the -NH3+ group. Consequently, the -NH2 group is a base.

Visit here to learn more about Proton:

brainly.com/question/4954553

#SPJ11

A 25.0 mL sample of Ba(OH)2 solution was neutralized by 45.3 mL of 0.150 N HCl. What is the Normality of the Ba(OH)2

Answers

The normality of the Ba(OH)2 solution is 0.136 N.

In a neutralization reaction, the number of moles of acid is equal to the number of moles of base. Normality is a measure of concentration that depends on the number of reactive species in the solution. Here is how to determine the normality of Ba(OH)2 in the solution:

Step 1: Find the number of moles of HCl

Number of moles of HCl = Molarity × Volume

= 0.150 × 0.0453

= 0.00680 moles

Step 2: Find the number of moles of Ba(OH)2Ba(OH)2 + 2HCl → BaCl2 + 2H2O

We know that two moles of HCl reacts with one mole of Ba(OH)2. Therefore:

Number of moles of Ba(OH)2 = 0.00680 / 2

= 0.00340 moles

Step 3: Find the normality of Ba(OH)2

Normality = Number of moles / Volume of solution in L

= 0.00340 moles / 0.0250 L

= 0.136 N

Therefore, the normality of the Ba(OH)2 solution is 0.136 N.

To know more about normality visit:

https://brainly.com/question/31491231

#SPJ11

In the following reaction 6.13g of water (H2O) is produced the theoretical
yield of water (H2O) is 8.17g, what is the percent yield of water? *
C3H8+5 02 3 CO2 + 4 H2O

A) 85.0%
B) 72.0%
C) 75.0%
D) 67.0%

Answers

Answer:

C = 75%

Explanation:

Theoretical yield = 8.17g

Actual yield = 6.13g

To calculate the percentage yield of a compound in a reaction, we'll use the formula to calculate it

Percentage yield = (actual yield / theoretical yield) * 100

% yield = (6.13/8.17) * 100

Percentage yield = 0.7503 * 100

Percentage yield = 75.03%

A cup of coffee has 71 mL of coffee and 127 mL of water. What is the
percent by volume of the coffee solution? *

Answers

Answer:

\(total \: volume = 71 + 127 \\ = 198 \: ml \\ \% \: coffee = \frac{71}{198} \times 100\% \\ = 35.86\%\)

What type of reaction takes place
when propene is formed from
propanol?
A. Condensation
B. Dehydration
C. Hydration
D. Hydrolysis
E. Oxidation​

Answers

Answer:

Hydration

Explanation:

* 2-propanol is converted to propene using heated alumina beads as the catalyst. The product gas is purified with a dry ice–propanol cold trap.

* the propene is hydrogenated to propane using a palladium catalyst in nearly 100% yield

Convert 5 micrometers to meters.

Answers

Answer:

5e-6

Explanation:

Answer:

0.005

Explanation:

The formula for this equation is dividing the length value by 1000 which will give you your answer which in the case I gave you the answer to your question your welcome. : )

An atom X that has 12 protons and 12 electrons, loses 2 electrons to form an ions, What will be the ion? What will be the number of protons and electrons in the ions?

Answers

An atom X that has 12 protons and 12 electrons, loses 2 electrons to form an ions,  the charge of ion will be X⁺² the number of protons 12 and electrons in the ions is 10.

An atom X has 12 protons and 12 electrons that means X is a neutral atom and the atomic no. is 12 because total no. of protons is equal to atomic number. When it looses the 2 electrons then atom becomes positively charged ion . the charge on the ion is +2.

now, the no. of protons will be = 12

number of electrons will be = 12 - 2 = 10

Thus, An atom X that has 12 protons and 12 electrons, loses 2 electrons to form an ions,  the charge of ion will be X⁺² the number of protons 12 and electrons in the ions is 10.

To learn more about Atom here

https://brainly.com/question/1566330

#SPJ1

needed this done forever ago pls help

needed this done forever ago pls help

Answers

The following conversions from moles to liters and vice versa are:

112 L H₂O224 L O₂22.3 moles H₂1.91 moles Br₂4.46 moles He179.2 L Cl₂1 mole44.6 moles Ne246.4 L Cl₂2.12 moles

How to convert?

5 moles H₂O x (22.4 L H₂O/1 mole H₂O) = 112 L H₂O

10 mole O₂ x (22.4 L O₂/1 mole O₂) = 224 L O₂

500 L H₂ x (1 mole H₂/22.4 L H₂) = 22.3 moles H₂

85 L Br₂ x (1 mole Br₂/44.6 L Br₂) = 1.91 moles Br₂

100 L He x (1 mole He/22.4 L He) = 4.46 moles He

8 moles Cl₂ x (22.4 L Cl₂/1 mole Cl₂) = 179.2 L Cl₂

22.4 L x (1 mole/22.4 L) = 1 mole

1000 L Ne x (1 mole Ne/22.4 L Ne) = 44.6 moles Ne

11 moles Cl₂ x (22.4 L Cl₂/1 mole Cl₂) = 246.4 L Cl₂

The number of moles of gas in a given volume can be calculated using the ideal gas law: PV = nRT, where P = pressure, V = volume, n = number of moles, R = ideal gas constant, and T = temperature in Kelvin.

Assuming standard temperature and pressure (STP), which is 0°C (273.15 K) and 1 atm, respectively, the calculation would be:

PV = nRT

(1 atm) (55.5 L) = n (0.0821 L•atm/mol•K) (273.15 K)

n = (1 atm) (55.5 L) / (0.0821 L•atm/mol•K) (273.15 K)

n = 2.12 mol

Therefore, the balloon contains approximately 2.12 moles of gas.

Find out more on STP here: https://brainly.com/question/27100414

#SPJ1

Zinc- nickel single flow batteries with improved cycling stability by eliminating zinc accumulation on the negative electrode. Electrochim. Acta 145, 109–115. doi:

Answers

Zinc- nickel single flow batteries with improved cycling stability by eliminating zinc accumulation on the negative electrode. Electrochim. Acta 145, 109–115. doi: Zinc accumulation is recognized as one of the most critical issues that affect the cycle life of zinc-nickel single flow batteries (ZNBs).

What is Zinc- nickel?

High performance zinc-nickel coatings provide superior corrosion resistance, especially for items used in challenging situations.

A special composition that will corrode less quickly than zinc alone is produced by alloying nickel and zinc. This alloy coating, with a composition of roughly 10-15% nickel and the remaining zinc, can offer up to ten times the protection of traditional zinc plating.

Due to considerations including extended product warranties, longer life cycle requirements, stricter safety regulations, and decreased environmental effect, there is an increased demand for Zinc Nickel Large across sectors. Following applications commonly call for zinc-nickel:

To learn more about Zinc- nickel from the given link:

https://brainly.com/question/10334361

#SPJ4

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.

To know more about combustion reaction visit:

https://brainly.com/question/14335621

#SPJ11

Need help can u tell how to answer questions like this

Need help can u tell how to answer questions like this

Answers

The dilution formula is a mathematical expression used to calculate the final concentration of a solution after it has been diluted.

What is the dilution formula?

The formula is:

C1V1 = C2V2

where:

C1 = the initial concentration of the solution

V1 = the initial volume of the solution

C2 = the final concentration of the solution

V2 = the final volume of the solution

1) 250 * 10 = 0.5 * v2

v2 = 5000 mL

2) 400 * 15 = 2000 *c2

c2 = 3M

3) 50 * 20 = 1000 * c2

c2 = 1 M as shown

Learn more about dilution formula:https://brainly.com/question/3078179

#SPJ1

When is the Northern Hemisphere tilted toward the Sun?

Answers

Answer: Summer Solstice

In North America, around June 21, Earth tilts on its axis toward the Sun. This is called the summer solstice, and it is when the Northern Hemisphere has the most daylight of any time of the year. It is also when the Sun appears to be the highest in the sky, and it has its greatest angle to Earth.

The biggest difference between the equinox and the solstice is that a solstice is the point during the Earth's orbit around the sun at which the sun is at its greatest distance from the equator, while during an equinox, it's at the closest distance from the equator.

Explanation:

Is the Earth's surface covered with the same materials?

What was different about each scientific drilling site?

What is the same for all of the drilling sites we examined?

Answers

The Earth's surface is not covered with the same materials ; however, some areas share similar materials.Several drilling sites have been dug in various regions of the planet to analyze the Earth's surface.

Each drilling site is unique, with differing characteristics and results. Despite these differences, all of the drilling sites analyzed offer scientists a more in-depth knowledge of the Earth's surface.In essence, the scientific drilling sites each had different lithologies, stratigraphies, and geologies. Each site had different types of rocks, depths, and ages, which led to varying drilling conditions, depths, and equipment used. Different types of equipment were also used to reach the depths required, which was a significant difference in each drilling site.The scientific drilling sites also had different purposes. Scientists had specific goals they wanted to achieve at each location. For example, the scientific drilling site in the Iceland region was focused on analyzing a unique layer of igneous rocks. The primary objective was to investigate the formation of the rock layer.The same materials were not found at each scientific drilling site.

Still, they had some similarities. They all provided geologists with vital information about the Earth's surface. The data provided from each drilling site was used to piece together the Earth's geologic history and how it has changed over time.

for such more questions on surface

https://brainly.com/question/30116754

#SPJ8

Give two examples of how the human body maintains chemical homeostasis.

Answers

The maintenance of healthy blood pressure is an example of homeostasis. ... If blood pressure is too high, the heart should slow down; if it is too low, the heart should speed up. More than half of a human's body weight percentage is water, and maintaining the correct balance of water is an example of homeostasis.
Answer(s): Regulation of Temperature , Maintaining Healthy Blood Pressure

Bonus Answer(s): Maintaining Calcium Levels , Regulating Water Levels, Defense Against Bacteria & Viruses

Which spot (30° or 90°) on the paper received the greatest amount of energy?

Answers

Answer/Explanation: At high angles like 90 degrees, the light doesn't spread out as much and has a more circular shape. As the ... Solar angle influences how much energy is received in an area.

-Bababooeyboy

How many moles of platinum atoms are in 2.408 x 1023

Answers

answer:

The mass of 4×10²¹ atoms Pt is ≈ 1 g Pt.

explanation:

How many moles of platinum atoms are in 2.408 x 1023

When iodine is added to foods with no starches it turns

Answers

Answer:

Add Iodine-KI reagent to a solution or directly on a potato or other materials such as bread, crackers, or flour. A blue-black color results if starch is present. If starch amylose is not present, then the color will stay orange or yellow

How can you control the flow of power in a circuit?

Answers

There are multiple ways to prevent these situations from occurring. The three most common protective devices are fuses, circuit breakers, and surge protectors

Explanation:

Identify two issues that can arise when measuring heat changes for a chemical reaction using a calorimeter.

Answers

Long-term heat loss to the calorimeter is a problem, especially for slow-moving processes.

How does a calorimeter work as a heat meter?

The water iscontained in a tank whose thermal capacity and weight were predete partially rmined before the experiment began. Calculating heat and flow rates involves measuring the rise in water temperature and volume over a predetermined period of time.

What takes place when a calorimeter absorbs heat?

In contrast, if the reaction absorbs heat, heat is transmitted from the calorimeter to the system, lowering the calorimeter's temperature.

To know more about calorimeter visit:-

https://brainly.com/question/4802333

#SPJ4

In the Lewis structure for formaldehyde, H2CO, where C is the central atom, what is the formal charge on C?
a. -2
b. -1
c. 0
d. +1
e. +2

Answers

Correct option is c. 0

Let's discuss it further below.

In the Lewis structure for formaldehyde (H2CO), where C is the central atom, the formal charge on C is:


Step 1: Determine the number of valence electrons for C. Carbon has 4 valence electrons.
Step 2: Calculate the number of electrons assigned to C in the Lewis structure. In formaldehyde, C is bonded to 2 H atoms (each with 1 bond) and 1 O atom (with a double bond). This gives C a total of 4 bonds, so it has 4 assigned electrons.
Step 3: Calculate the formal charge on C using the formula: Formal Charge = (Valence Electrons) - (Assigned Electrons). Thus, Formal Charge on C = (4) - (4) = 0.

So, the formal charge on C in the Lewis structure for formaldehyde is 0 (option c).

Learn more about Lewis structure.

brainly.com/question/4144781

#SPJ11

when a carrier has become saturated with a molecule and cannot carry any more, it has reached its

Answers

When a carrier has become saturated with a molecule and cannot carry anymore, it has reached its maximum capacity or saturation point. In many biological, chemical, and physical processes, carriers are essential for moving molecules or ions across a medium or across membranes.

Usually, proteins or other sorts of molecules that aid the transport of particular molecules serve as these carriers. When a carrier contains binding sites that can identify and attach to the molecules of interest, it is able to transport molecules.

The carrier and molecule often bond in a particular, reversible manner. The quantity of the molecules to be carried, their affinity for the carrier, and the number of accessible binding sites on the carrier are some of the variables that affect a carrier's saturation point.

Depending on the individual carrier and the technology it uses to function, these elements can change.

To know more about affinity:

https://brainly.com/question/32309075

#SPJ4

HELPPPP pleaseeeeee!!!!

HELPPPP pleaseeeeee!!!!

Answers

Answer:

Length=Meter

Mass=Kilogram

Time=Second

Explanation:

Si is the International System of Units and means not just the U.S metric system.

Hope this helps and Please mark as Brainliest

Other Questions
One way to increase your self-expectancy is to review your past _______, which could be anything completed through effort, skill, or persistence. Find the difference. Dwayne Johnson climbed 14, 439 feet to the top of the RockyMountains. Then, he descended (hiked down) 224 feet. What integer representswhere he is now? Miss Guydan and her friend Alyssa are collecting food for the local food bank. Their goal is to collect 2100 pounds of food. They start with 400 pounds of food donated by a local grocery store. Their goal is to collect 25 pounds of food per day. Write an equation that represent this situation. Define your variables. Find the volumefollowing cylinder:diameter is 21 cm and height is 12 cm We can cause vocal damage by misusing our voices.TrueFalse If the sales tax rate is 7% in Rhode Island, then how much would you pay there for a pair of shoes that cost $40.00?A $2.80B) $42.80$37.20D $28 (8 pts)7. Solve the following system using a matrix and converting the matrix to reduced rowechelon form, without introducing any fractions.3x - 2y + 5z = -7x y + 3z = -54x + y + z = 6 Assume you are a fixed income portfolio manager holding AT&T notes that have $40 million in total current market value (not face amount). The notes have an annual coupon rate of 7.125%, and mature on March 15, 2026 or in about 3.5 years. The notes make semi-annual coupon payments on March 15 and Sept 15 of each year; thus assume the note just paid a coupon, the next coupon is to be received in 6 months and so on every 6 months, and the instrument matures in 3.5 years. 1. The next three to 2-3 months until December are of concern, as you believe that rates may unexpectedly rise. What impact would a 50 basis point jump in interest rates have on the value of your bond portfolio (approximate by using modified duration)? In other words, estimate the predicted change in value based on modified duration. is this a rhombus? see attachment assume that $18,900 cash is paid for insurance to cover the next year. the appropriate debit and credit would be: A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover? What is the image point of (5, 6) after the transformation D3 0 R270? Recently, the U.S. national income accounts have switched to calling government purchases a. government wages, salaries, and investment expenditure. b. government consumption expenditure and gross investment. c. transfer payments and gross investment by government. d. government spending and transfer payments. A Household welfareA typical household in Autarka has an income of $160,000 per year, which they spend on food (good x ) and clothing (good y ). Their preferences over consumption baskets are represented by the utility function, U = x 1/4y y 1/4.The associate marginal utilities are, MUx = y 1/4 / 4x 3/4 and MUy = x 1/4 /4y 3/4 . The price of food is Px = $8 per meal, and the price of clothing is Py = 128 per item. Each household has a 10% probability of experiencing a major injury or illness in any given year. If a household experiences a major injury or illness, its income is reduced to $6,400 per year. In the analysis section you must complete each of the steps detailed below. When com- pleting the steps you must: Type all equations using the 'Insert Equation' function (or equivalent). Show all of your working and include sufficient written description for the reader to follow your process. Note that hand draw figures and equations are not acceptable. There is no word/page limit for the analysis section.Step 1: Derive an expression for the typical household's marginal rate of substitution. (4 marks)Step 2: Find the typical household's optimal consumption basket when its income is $160,000. What is the household's associated level of utility? (10 marks)Step 3: Find the typical household's optimal consumption basket when its income is $6,400. What is the household's associated level of utility? (10 marks)Step 4: What is the typical household's expected utility if it does not purchase insurance? (4 marks)Step 5: What is the expected payout to the typical household if it does purchase insurance? (4 marks)Step 6: What is a household's maximum willingness to pay for insurance? (Hint: Use the utility function U = I/64 for this step only.) (8 marks) a municipal bond has a coupon rate of 6.10 percent and a ytm of 5.71 percent. of an investor has a marginal tax rate of 30 percent, what is the equivalent pre tax yield on a taxable bond? Solve the equation.-13 + 2x = 9Please help me what is face symmetry test? Question 2What is the perimeter of the figure below. Use 3.14 for pi. Round to the nearest whole number. How does the article develop the idea that interpreting the meaning of the First Amendment is complicated?by using court decisions to outline the limits and protections allowed for listed freedomsby explaining the history of the separation of the government from individual freedomsby describing the role of the press in maintaining freedom of speechby quoting views of various justices regarding the freedom to assemble design a counter that counts from 13 down to 6, and then starts over again. use a 4-bit binary down counter w/parallel load (as a building block). use a minimum number of additional logic gates.