what is the ph of a solution in which [ha] = 2[a–] and the pka of ha is 5.5? (tip: use henderson-hasselbalch equation)

Answers

Answer 1

The pH of the given solution in which [HA] = 2[A–] and the pKa of HA is 5.5 is 4.5.

The pH of the solution can be determined by using the Henderson-Hasselbalch equation as follows:pH = pKa + log([A⁻]/[HA])Given:[HA] = 2[A⁻]pKa of HA = 5.5Substituting the given values in the above formula, we get:pH = 5.5 + log(2[A⁻]/[HA])Now, we know that [HA] = 2[A⁻]

Substituting this in the above equation, we get:pH = 5.5 + log(2) – log([A⁻]) – log([A⁻])pH = 5.5 + 0.301 – 2log([A⁻])pH = 5.8 – 2log([A⁻])Therefore, the pH of the given solution is 4.5 (long answer in 100 words).

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Related Questions

cobalt-60 is radioactive and has a half life of years. how much of a sample would be left after years? round your answer to significant digits. also, be sure your answer has a unit symbol.

Answers

To calculate the remaining amount of a cobalt-60 sample after 20 years, we can use the formula for radioactive decay:N = N₀ * (1/2)^(t / t(1/2)). Hence remaining amount of the cobalt-60 sample after 20 years is approximately 0.1891 times the initial amount

Given that the half-life of cobalt-60 is 5.27 years, we can substitute the values into the formula:

N = N₀ * (1/2)^(20 / 5.27)

Simplifying the equation:

N = N₀ * (1/2)^(3.7941)

Calculating the value inside the parentheses:

(1/2)^(3.7941) ≈ 0.1891

Now, multiplying the initial amount N₀ by the calculated value:

N = N₀ * 0.1891

Therefore, the remaining amount of the cobalt-60 radioactive isotope sample after 20 years is approximately 0.1891 times the initial amount. Please provide the unit symbol for the initial amount, and you can multiply it by the calculated value to obtain the unit symbol for the remaining amount.

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Complete question:

cobalt-60 is radioactive and has a half-life of 5.27 years. how much of a sample would be left after 20 years? round your answer to significant digits. also, be sure your answer has a unit symbol.

PLS PLS PLS HELPPP How is clay deposited to form shale?

A. Water deposits clay in thin, flat layers.
B. Water deposits clay in thick, flat layers.
C. Water deposits clay in thin, uneven layers.
D. Water deposits clay in thick, uneven layers.

Answers

I would go with D but wait for someone Wales too answer just in case I’m wrong

Why is resistance useful in
lightbulbs?
A. It allows the filament to cool off and get dim.
B. It allows the filament to heat up and glow.
C. It allows the filament to heat up and get dim.
D. It allows the filament to cool off and glow.

Answers

B-it allows the filament to heat up and glow
B. The filament in an incandescent bulb does not have a constant resistance. If you take a bulb and increase the voltage across it, the current increases too. An increase in current means the bulb gets hot—hot enough to glow. As the temperature increases, however, the resistance also increases

Which is not a critical part of collision theory?
orientation
energy
amplification
collisions

Answers

Answer:

Amplification

Explanation:

1) Will you ever find a diatomic element by itself as only 1 atom? Explain your
answer.

Answers

No, diatomic elements cannot exist as single atoms.

Diatomic elements are those that naturally occur as a molecule of two atoms of the same element, such as oxygen (O2), nitrogen (N2), and hydrogen (H2). These elements are chemically stable in their diatomic form and have strong covalent bonds that keep the atoms together.

It is thermodynamically unfavorable for diatomic elements to exist as single atoms, as the energy required to break the covalent bond is very high. Therefore, diatomic elements will always exist as a molecule of two atoms. This can be observed in their physical and chemical properties, which are unique to the diatomic form of the element.

Overall, diatomic elements are a unique class of elements that exist naturally as molecules of two atoms. It is not possible for them to exist as a single atom due to their strong covalent bond.

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What is the difference between the outer shell of sodium and the outer shell of fluorine?

Answers

The outer shell (the outermost shell) of Na there is 1 electron while in F there are 7 electrons

Further explanation

Given

Sodium and Fluorine

Required

The outer shell difference

Solution

Sodium (symbol Na) is an element in group 1 (alkaline) which has the atomic number 11

So the electron configuration is: [Ne] 3s¹

Meanwhile, Fluorine (symbol F) is a halogen element (group 17) which has atomic number 9

So the electron configuration is: [He] 2s² 2p⁵

If we look at the electron configurations of these two elements, it shows that the element Na to achieve its stability will release 1 electron in the outer shell so that it has an electron configuration like Ne

Meanwhile, Fluorine will need 1 more electron so it can be stable like Ne

So in the outer shell of Na there is 1 electron while in F there are 7 electrons

1. Calculate the mass of 1.000 mole of CaCl2
Show all your work. Answer in scientific notation when applicable.

Answers

Answer: 110 g/mol

Explanation:

First we need to find the molar mass of CaCl2 using the periodic table:

Ca: 40

Cl: 35 (Since Cl has a 2 at the end, multiply 35 by 2)

70+40= 110

Then multiply by amount of moles

110g×1.000mol = 110 g/mol

Scenario 1: The magnets are equal strength. Predict: How would the overall kinetic energy in the system change? Why?​

Scenario 1: The magnets are equal strength. Predict: How would the overall kinetic energy in the system

Answers

Answer:

Magnetized objects move in the direction that reduces their magnetic potential energy. This is no different than the skate park.

Explanation:

You need to make an aqueous solution of 0.194 M potassium acetate for an experiment in lab, using a 125 mL volumetric flask. How much solid potassium acetate should you add

Answers

To prepare 0.194 M potassium acetate, add 2.379895 g of potassium acetate to a 125 mL volumetric flask and fill with water to the mark.

Define molarity of a solution.

Molarity (M) is the amount of a substance in a certain volume of solution. Molarity is defined as the moles of a solute per litres of a solution.

The following data were obtained from the question:

Molarity of potassium acetate = 0.194 M

Volume of solution = 125 mL

Mass of potassium acetate =?

Next, we shall convert 125 mL to L. This can be obtained as follow:

1000 mL = 1 L

Therefore,

125 mL = 0.125 L

Thus, 125 mL is equivalent to 0.125 L.

Next, we shall determine the number of moles of potassium acetate in the solution. This can be obtained as follow:

Molarity of potassium acetate = 0.194 M

Volume of solution = 0.125 L

Moles of potassium acetate =?

Molarity = \(\frac{mole}{Volume}\)

Cross multiply

Mole of potassium acetate = 0.194 M × 0.125

Mole of potassium acetate = 0.02425 mole

Finally, we shall determine the mass of potassium acetate

Molar mass of potassium acetate= 98.14 g/mol

Mass of potassium acetate =?

Mole = \(\frac{mass}{Molar mass}\)

Mass of potassium acetate =0.02425  × 98.14

Mass of potassium acetate = 2.379895 g

Thus, to prepare 0.194 M potassium acetate, add 2.379895 g of potassium acetate to a 125 mL volumetric flask and fill with water to the mark.

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True or False.. Light from an unshaded bulb radiates in all directions?? ​

Answers

Its is true that light from an unshaded bulb radiates in all directions

a 67.0 ml portion of a 1.30 m solution is diluted to a total volume of 238 ml. a 119 ml portion of that solution is diluted by adding 189 ml of water. what is the final concentration? assume the volumes are additive.

Answers

A 67.0 ml portion of a 1.30 m solution is diluted to a total volume of 238 ml. a 119 ml portion of that solution is diluted by adding 189 ml of water.  The final concentration is  0.2304 M

Concentration is calculated by dividing a constituent's abundance by the combination as a whole. The qualities of mass awareness, molar awareness, amount attention, and volume focus can all be found in exceptional mathematical formulations.

M₁V₁=M₂V₂ where M is concentration and V is volume

M₁ =1.30 M

V₁ = 67 ml = 0.067 L

M₂ = ?

V₂ = 238 ml = 0.238 L

M₁V₁=M₂V₂

M₂ = M₁V₁ / V₂

   = 1.30 × 0.067 / 0.238

   = 0.3659 M

New volume V₁ = 119 ml = 0.119 L

                   V₂ = 0.189 L

M₁  = 0.3659 M

M₂ =  M₁V₁ / V₂

   = 0.3659 ×0.119 /0.189

    = 0.2304 M

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For a gravitational field to be generated between two objects, what must be true?
No other forces can be presents
The two objects must be in contact
One object must be pure iron
Both objects must have mass

Answers

Answer:

i think its both objects have to have mass

Matter are anything that is made up of atoms. The quantity of matter can be observed only on the basis of mass and volume calculation. Therefore, the correct option is option D.

What is matter?

Matter is a substance that has some mass and can occupy some volume. The matter is mainly used in science. Matter can be solid, liquid or gas.

Matter is anything that is made up of atoms. Anything around us that can be physically seen and touched are matter. Ice, water and water vapors are example of matter.

So as we saw that matter has some mass so mass can be measured in gram only. Mass can also be represented as number of molecules. We also saw that matter occupy some volume and that volume is measured only in liter. For a gravitational field to be generated between two objects, Both objects must have mass.

Therefore, the correct option is option D.

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Which of the following show the correct order of organizational levels within an ecosystem?
biosphere------ecosystem--------species ----------community ------------population
Population--------community-----------species------------ecosystem------biosphere
Biosphere-----ecosystem-----community----------population-------------species
ecosystem-----population-------biosphere------species------environment

Answers

Biosphere, ecosystem, community, population, species is the correct order of organizational level within an ecosystem.

Biosphere is the arrangement of the biological organisms has relation with each other.

More complex system of relationships are seen when bottom to top movement occurs.

Individual organisms are in the first level. This system is concerned with the biological, morphological and the physiological development of the organism with respect to the response to the environment.

In the second level it has populations, means a group. Then is the ecosystem, here the non-living components are also present.

Biosphere is in this phase and everything in the earth is present in it, along with their interactions.

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How many moles of carbon dioxide (CO2) is produced when 76.9 g of oxygen (O2) is consumed when butane is burned? The balanced equation is 2 C4H10 + 13 O2 → 8 CO2 + 10 H2O. Show all of your work for full credit.

Answers

2 C4H10 + 13 O2 → 8 CO2 + 10 H2O.

3.25 mol caco3 decomposes according to the reaction above. what volume of co2 gas is produced once the gas cools to stp

Answers

Answer:

  72.8 liters (see comment below)

Explanation:

You want the volume of CO₂ at STP resulting from the decomposition of 3.25 moles of CaCO₃.

Reaction

The balanced reaction is ...

  CaCO₃(s) + heat ⇒ CaO(s) + CO₂(g)

This tells you that 3.25 moles of CaCO₃ will evolve 3.25 moles of CO₂ gas.

Volume

At STP, each mole of gas has a volume of 22.4 liters. The volume of CO₂ produced is ...

  (3.25 mol) × (22.4 L/mol) ≈ 72.8 L

At STP, the volume of gas produced is 72.8 liters.

__

Additional comment

After 1982, the IUPAC defined STP as 0 °C, 100 kPa, so one mole of gas occupies 22.711 liters. If this is the value of STP you're to use, then the appropriate answer is ...

  (3.25 mol) × (22.711 L/mol) ≈ 73.8 L

Prior to 1982, IUPAC standard pressure was 1 atm, or 101.325 kPa. At that pressure the volume of one mole is 22.414 liters. Many authors continue to use this definition of STP, so that is the value we have used in the answer above.

We have rounded the volume to 3 significant figures, in accordance with the precision of the given amount of material.

3.25 mol caco3 decomposes according to the reaction above. what volume of co2 gas is produced once the

consider chlorine, which occurs as a mixture of two isotopes: chlorine-35, with a natural abundance of 75.8% and an exact mass of 34.97 amu and chlorine-37, with a natural abundance of 24.2% and an exact mass of 36.97 amu. what is the average atomic mass of chlorine? report to two decimal places.

Answers

If the natural abundance of chlorine-35 is 75.8% and that of chlorine-37 is 24.2%, then the average atomic mass of chlorine will be 35.44 amu.

Chlorine exists in two isomeric forms which are the chlorine-35 and chlorine-37. The atomic mass of the chlorine elements is basically the average atomic mass of its isotopes depending upon their abundance in nature.

The atomic mass of chlorine-35 is 34.97amu and a natural abundance equal to 75.8 %. The atomic mass of chlorine-37 is equal to 36.97 amu with an abundance of 24.2%.

To calculate the average atomic mass of chlorine,

The abundance of chlorine-35 = 75.8% = 0.758

The abundance of chlorine-37 = 24.2% = 0.242

⇒ Average atomic mass = 34.97 × 0.758 + 36.97 × 0.242

⇒ Average atomic mass = 26.50 + 8.94

⇒ Average atomic mass = 35.44 amu  

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what element is 1s22s22p63s23p64s23d104p65s1

Answers

Answer:

Rubidium

Explanation:

Add the exponents: 2+2+6+2+6+2+10+6+1=37

Look for the atomic number 37

The element having electronic configuration 1s₂, 2s₂, 2p₆, 3s₂, 3p₆, 4s₂, 3d₁₀, 4p₆, 5s₁ is rubidium .

What is an element ?

A chemical element is a species of atoms, including the pure substance made entirely of that species, that have a specific number of protons in their nuclei. Chemical elements, in contrast to chemical compounds, cannot be reduced by any chemical process into simpler molecules.

They can be identified by their particular atomic number. The periodic table groups the elements according to their atomic number and draws attention to those with related qualities.

The most vital ingredient for life is carbon. Life as we know it would not exist without this element. You'll see that carbon is the main component of the chemicals required for life.

Thus, The element having electronic configuration 1s₂, 2s₂, 2p₆, 3s₂, 3p₆, 4s₂, 3d₁₀, 4p₆, 5s₁ is rubidium .

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How much heat is released when the temperature of 60g water decreases from 75 Celsius to 27 Celsius?


Answers

Answer:

The heat released when the temperature of 60 g of water decreases from 75 degrees Celsius to 27 degrees Celsius is -12,049.92 J.

Explanation:

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

Sensible heat is the amount of heat that a body absorbs or releases without any changes in its physical state or phase change. Sensible heat is measured by the expression:

Q = c * m * ΔT

Where Q is the heat exchanged by a body of mass m, constituted by a substance of specific heat c and where ΔT is the variation in temperature.

In this case:

Q= ?c= 4.184 \(\frac{J}{g*C}\)m= 60 gΔT= Tfinal - Tinitial= 27 C - 75 C= - 48 C

Replacing:

Q= 4.184 \(\frac{J}{g*C}\) *60 g* (-48 C)

Q= -12,049.92 J

The heat released when the temperature of 60 g of water decreases from 75 degrees Celsius to 27 degrees Celsius is -12,049.92 J.

What properties of solid naoh necessitate standardization of a naoh solution?

Answers

The properties of solid NaOH that necessitate standardization of a NaOH solution are primarily its Hygroscopic nature, its tendency to react with atmospheric CO2, and its variable purity.

1. Hygroscopic nature: Solid NaOH (sodium hydroxide) has a strong affinity for water, meaning it readily absorbs moisture from the air. This can lead to changes in its mass and concentration, affecting the accuracy of a prepared NaOH solution.

2. Reaction with atmospheric CO2: Solid NaOH reacts with carbon dioxide (CO2) present in the air, forming sodium carbonate (Na2CO3). This reaction alters the composition of the NaOH, again affecting its concentration in a solution.

3. Variable purity: Commercially available NaOH often contains impurities due to the manufacturing process. These impurities can impact the effective concentration of NaOH in a solution.

To ensure accurate results in experiments, it's crucial to standardize the NaOH solution. Standardization is the process of determining the exact concentration of a solution using a primary standard, such as potassium hydrogen phthalate (KHP).

By titrating the NaOH solution with a known amount of primary standard, you can precisely calculate its concentration, accounting for any changes caused by its hygroscopic nature, reaction with atmospheric CO2, and impurities.

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what is the younger rock layer​

Answers

The youngest rock layers are at the top and the oldest are at the bottom, which is described by the law of superposition.

Does fertilizer make a plant grow bigger?mention two variables. How change of one variable effects another one in investigation?

Trick question
Science

Answers

In scientific investigations, the effect of fertilizer on plant growth can be studied by examining various variables. Two key variables in this context are the presence or absence of fertilizer (independent variable) and the size or growth of the plant (dependent variable).

When investigating the effect of fertilizer on plant growth, the independent variable is the presence or absence of fertilizer. This variable is controlled by having two groups of plants: one group receiving fertilizer (experimental group) and another group without fertilizer (control group). By comparing the growth of these two groups, we can determine the impact of fertilizer on plant size.

The dependent variable, on the other hand, is the size or growth of the plant. This variable is measured or observed as the outcome of interest. In this case, it would be the height, weight, or overall size of the plants.

By systematically changing the independent variable (presence or absence of fertilizer), we can observe how it affects the dependent variable (plant growth). The experimental group receiving fertilizer is expected to show greater plant growth compared to the control group without fertilizer. This allows us to draw conclusions about the effect of fertilizer on plant growth.

However, it is important to note that the specific outcome may vary depending on other factors such as plant species, soil conditions, and environmental factors. Conducting a controlled experiment while considering these factors helps in obtaining more reliable results.

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Which change to this process would shift the equilibrium to produce the maximum possible amount of H₂O? 2H₂ + O₂2H₂O + energy A. Decreasing the pressure OB. Removing the H₂O as it forms OC. Increasing the temperature OD. Removing the O₂ as it forms​

Answers

Option B" Removing the H₂O as it forms" would shift the equilibrium to produce the maximum possible amount of H₂O? 2H₂ + O₂2H₂O + energy

What is equilibrium in chemistry?

In the realm of chemistry, attaining a state of equilibrium denotes achieving balance between opposing forces - the forward and reverse reaction rates being equal. This balance guarantees that there are no changes in reactant or product concentrations as time elapses.

Despite being in a state of stasis, it's essential to remember that equilibrium remains dynamic because both reactions continue consistently.

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What is conditioned stimulus? (from Ivan Pavlov)

Answers

Answer:

A conditioned stimulus is a stimulus that can eventually trigger a conditioned response. In the described experiment, the conditioned stimulus was the ringing of the bell, and the conditioned response was salivation. It is important to note that the neutral stimulus becomes the conditioned stimulus

Explanation:

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2 no (g) ⇌ n2 (g) o2(g) heat change: decrease in temperature what is the effect on the concentration of [o2]a. increasesb. more info is neededc. decreases d. stays the same

Answers

The correct answer is b. more info is needed.
For the reaction 2 NO(g) ⇌ \(N_2(g) + O_2(g),\); Heat change= ?: with a decrease in temperature the effect on the concentration of [\(O_2\)] can not be determined as it is not given whether the heat is released or absorbed.

To determine the effect on the concentration of \(O_2\), we'll apply Le Chatelier's principle. The principle states that if a system at equilibrium is subjected to a change in temperature, pressure, or concentration of a component, the system will adjust to counteract that change and re-establish equilibrium.

Since the reaction is exothermic (releases heat) or endothermic this can not be said unless we have the value of heat change we can not determine the effect of change in temperature on the concentration of oxygen gas.

Therefore, to determine the effect on the concentration of \(O_2\):

b. more information is needed.

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The triple point of water occurs at a pressure of 4.59 mmHg.
What is the pressure in atm?

Answers

Answer:

The pressure in atm is 6.04 x 10^-3

Explanation:

Pressure of the gas is defined as the force exerted by the particles on the walls of the container. It is expressed in various terms like 'mmHg', 'atm', 'kiloPascals' etc..

All these units of pressure are inter convertible.

Pressure of the gas = 4.59 mm Hg

760 mm Hg = 1 atm

4.59 mm Hg= 1/760 x 4.59 = 6.04 x 10^-3atm

The pressure in atm is 6.04 x 10^-3

salat tarawih itu boleh dilakukan di masjis

What is the freezing point of Titanium?

Answers

Answer and Explanation:

The freezing point of Titanium is 1668 C or 3034.4 F...

The freezing point of Titanium (Ti) is 1668°C.

What is Titanium ?

Titanium is a chemical element. The symbol of titanium is Ti. Atomic number of Ti is 22. Electronic configuration of Titanium is [Ar] 3d² 4s².

What is Freezing point ?

The temperature of a liquid which changes its state and becomes a solid is called as Freezing point. The freezing point of Titanium is 1668°C.

Thus from the above conclusion we can say that The freezing point of Titanium (Ti) is 1668°C.

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Use the word stable to explain why the alkali metals tend to lose 1 valence electron.

Answers

Answer:

becoz vvv is always with you

Answer:

Alkali metals have one valence electron on their outer shell. They are more stable when they have eight valence electrons so they tend to loose that one electron and obtain a full octet, therefore become stable

similar functional groups label 1-2 relevant peaks that will help you identify which spectrum is the ester and which is the ketone

Answers

A typical IR spectrum displays peaks between 3600 and 500 cm-1, allowing us to link particular peaks to particular functional groups.

How can the IR spectrum distinguish between an ester and a ketone?

A specific range characteristic of each type of compound is assigned the value of the C=O. stretching wavenumber to execute the analysis. Therefore, it is believed that ketones exist between 1715 and 1740 cm-1, while simple esters are found between 1740 and 1760 cm-1, which is 20 to 30 cm-1 higher.

Where on the IR spectrum is a ketone?

Aldehydes and ketones exhibit a strong, distinct band in the shape of a stake between 1710 and 1720 cm-1 (right in the middle of the spectrum).

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Identify by element's full name.

Identify by element's full name.

Answers

Answer:

1.a member of carbon family  with 14 eletrons is silicon

2.halide which is liquid at room temperature is bromine

3.transition metal with 79 electrons/protons and neutron 80 for me Is Gold

refer to the neutralization of nitric acid by sodium hydroxide discussed in the introduction. calculate the heat of reaction (in kj) when 44.4 ml of 1.3 m nitric acid reacts with 51.5 ml of 0.6 m sodium hydroxide.

Answers

The heat of reaction when 44.4 ml of 1.3M nitric acid reacts with 51.5 ml of 0.6M sodium hydroxide is equal to 1.66 KJ.

What is a neutralization reaction?

A neutralization reaction is a chemical reaction in which an acid and base react with each other to generate salt and water. The acidic strength of the reactant (strong acid) will give the pH of the neutralized solution.

HCl    +    NaOH →   NaCl   +   H₂O

Given, the nitric acid, V = 44.4 ml and concentration = 1.3 M

The sodium hydroxide, V = 51.5 ml and concentration = 0.6 M

The number of moles of nitric acid = 44.4 × 1.3 = 57.59 mmol

The number of moles of sodium hydroxide = 51.5 × 0.6 = 30.9 mmol

Here sodium hydroxide is the limiting reagent.

The heat of reaction for one mole = 53.7 KJ

Then for 30.9 mmol, the heat of reaction = (30.9/1000) ×53.7 = 1.66 KJ

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Help help help help please please A lamina occupies the region inside the circle x2 + y2 = 18y but outside the circle x2 + y2 = 81. Find the center of mass if the density at any point is inversely proportional to its distance from the origin. Under what condition is the economy experiencing neither a contraction, nor an expansion? a output = expenditure b leakages = injections c both a and bd none of the above 2. Carbon and hydrogen form a nonpolar covalent bond when they share electrons to achieve stability. agree disagree My explanation: Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function.y+y=2+(t4),y(0)=0.a) Find the Laplace transform of the solution.b) Obtain the solution y(t).c) Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t=4 What are the uses of an interface in encapsulation? Which of these people is NOT in line to succeed the president?A. Speaker of the HouseB. President Pro TemporeC. Chief JusticeD. Secretary of State Find the volume of the sphere. Sorry the pic isnt the best! I tried lol! Write a letter to your friemd telling him about difficulties in interschool sports and games and how to resolve ig to avoid future occurrences Can someone please help me solve this table? is the coefficient for population statistically significant?yes it is statistically significant at 5% level.no it is statistically insignificant.yes it is statistically significant at 1% level.yes it is statistically significant at 49.5% level. based on the evidence provided in document a and document b, write a thesis that directly addresses the question: why did texans revolt against the mexican government? Indicate which abstract noun corresponds to the following definitionsHELP ME PLEASE !! 7. Which of the following is not part of the proper protocol for using acids and bases?A. Wearing protective clothing while handlingB. Storing acids and bases below 10CO C. Storing acids and bases in separate areasD. Add acid to water, not water to acid Do not round intermediate calculations. round your answers to two decimal places. a. define a random variable number of times that owner-occupied units had a water supply stoppage lasting or more hours in the past months and develop a probability distribution for the random variable. (let represent or more times.) 0.04 0.34 0.41 0.17 0.04 1 b. compute the expected value and variance for . 1.82 c. define a random variable number of times that renter-occupied units had a water supply stoppage lasting or more hours in the past months and develop a probability distribution for the random variable. (let represent or more times.) 0 0.03 0.22 0.52 0.23 1 d. compute the expected value and variance for . e. what observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units Write your own sentence using a noun of direct address. pleassseeee Question 41 1 pts A firm sells output in a perfectly competitive market. Assume the firm's total costs are defined by the following table: Output Total Cost (in dollars) 0 $3 1 $9 2 $14 3 $18 4 $23 5 Backward Phase and set up a "for" loop with k-rankA:-1:1 that would iterate through the rows of the echelon form starting with the row whose index is rankA (the last non-zero row) and going up to row 1 inclusively. For a consecutive row k do the following: **First, output the index of the column that has a pivot position. **Next, output the scalar h that will be used in the formula for scaling of this row to get the number 1 in the pivot position. Then, place a command that will do the scaling using scalar h. **Then, if the index of a consecutive row is greater than 1 (k>1), create zeros above the pivot using row replacement operation: first, output the factor r that is used in the formula for the row replacement when the row is replaced with the sum of itself and r-multiple of the row with the pivot, and, then, place the command that will do row replacement using scalar r - please remember that your pivot here is the number 1. **After completing a consecutive row, place the following command into your code: R=closetozeroroundoff (R, 7); This is the end of the "for" loop and the end of the Backward Phase. HELP- im currently doing a test. It needs to be solved by substitution 8x-2y=40 2x+2y=-10 Answer the following question in 3-4 complete sentences. A man sitting in a chair. He has on tall socks, shoes with a buckle, and a long coat with large cuffs and many buttons. He's sitting in a high back chair next to a desk. What type of surface is most commonly used for engraving pieces, such as the one above? Why would the process be difficult?.