Describe the electrolysis of molten lithium chloride to produce lithium and chlorine gas.

Answers

Answer 1

Answer:

it mainly  depends what state of lithium chloride that you use to electrolysis, if you choose the aqueous state of lithium chloride then you'll have a produce of chlorine and oxygen at the anode, lithium and hydrogen is produce at the cathode but lithium will react with water to form lithium hydroxide

Explanation:

Answer 2

Final answer:

The electrolysis of molten lithium chloride results in the formation of lithium metal at the cathode and chlorine gas at the anode, involving the direct conversion of chemical energy into electrical energy through electrolysis.

Explanation:

The question is about describing the electrolysis of molten lithium chloride to produce lithium and chlorine gas. The process of electrolysis involves passing an electric current through molten lithium chloride (LiCl), resulting in the formation of lithium metal (Li) and chlorine gas (Cl₂). This process takes place in an electrolytic cell.

At the cathode (negative electrode), lithium ions (Li⁺) gain electrons (e⁻) to form lithium metal (Li).At the anode (positive electrode), chloride ions (Cl⁻) lose electrons to form chlorine gas (Cl₂).

Overall reaction: 2LiCl(l) → 2Li(s) + Cl₂(g)

At the cathode: Li⁺ + e⁻ → Li(s)

At the anode: 2Cl⁻ → Cl₂(g) + 2e⁻

These reactions demonstrate the principle of electrochemistry where chemical energy is converted into electrical energy, and vice versa. The electrolysis of molten lithium chloride is an efficient way to produce pure lithium metal and chlorine gas, which have various applications in industries.


Related Questions

Important: How much energy would be required to vaporize 45.0 grams of water?

Answers

Explanation:

The answer is 116 kJ . c - water's specific heat - 4.184 J/g⋅∘C . Then, you must provide enough heat to get all the water from liquid to steam.




Even though the neighborhood shown by the green star was not next to any of these fires, how was the neighborhood affected by them?


A)
The heat generated by these fires made the temperatures in the surrounding areas increase.


B)
The smoke produced by these fires were carried by strong winds and made the air hard to breathe.


C)
The chemicals that were released by these fires cleared out the air and improved overall visibility.


D)
The air around the neighborhood was cooled due to the fire sucking the heat out of the surrounding air.

Answers

Im pretty sure the answers b

Answer:

B

Explanation:

B is the only possible answer that makes much sence, smoke is very toxic and it makes it hard to breath and is bad for your lungs

Oceanic crust is
-
made mostly of granite
made mostly of limestone and salt
thinner than continental crust
thicker than continental crust

Answers

Answer:

It is thinner than the continental crust.

Explanation:

Final answer:

The oceanic crust is largely made up of basalt, a dense type of rock that forms from solidified lava, and it is thinner than the continental crust that is mainly composed of granite.

Explanation:

The oceanic crust is primarily composed of a type of rock known as basalt. This is a dark, dense igneous rock that forms due to the cooling and solidifying of lava. In contrast to the granitic composition of the continental crust, the oceanic crust's basaltic composition is denser but thinner than the continental crust. Hence, the oceanic crust is not made mostly of granite, limestone or salt, but rather, it is predominantly basalt and it is not thicker but thinner than continental crust.

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4. A simple sugar's properties result from
a. Its ratio of amylose to amylopectin
b. How atoms are arranged in its molecules
C. The type of plant that produced it
d. The degree of crystallization

Answers

Answer:

b. how atoms are arranged in it's molecules

The reaction 2NO (g) → N2 (g) + O2 (g) has a ΔH =−180.5 kJ .

How much heat will be required to produce 44.8 L of NO by the reverse reaction?


180.5 kJ

301 kJ

322.3 kJ

644 kJ

Answers

Answer: the answer is 180.5    i am 100% i just did the test

The heat that should be required to produce 44.8 L of NO by the reverse reaction is 180.5 J.

What is heat?

The heat energy should be converted from one body to the another due to which there should be the difference in the temperature. In the case when two bodies should be at the different temperature so here the energy should be transferred i.e. the heat should be flows i.e from the hotter body to the colder.

hence, The heat that should be required to produce 44.8 L of NO by the reverse reaction is 180.5 J.

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Which best describes nuclear fusion?
A. It produces heavier elements.
B. It creates abundant radioactive material.
C. It causes the collision of alpha particles.
D. It transforms energy into mass.

Answers

Answer:

The answer is C.  It causes the collision of alpha particles.

Explanation:

Final answer:

Nuclear fusion is a process that produces heavier elements by combining lighter elements.

Explanation:

Nuclear fusion is a process in which two or more atomic nuclei come together to form a single, more massive nucleus, releasing a large amount of energy in the process. The answer to the question is It produces heavier elements. During nuclear fusion, lighter elements combine to form heavier elements. This process is responsible for the energy emitted by the sun and other stars. It does not create abundant radioactive material as nuclear fusion reactions do not produce long-lived radioactive waste like nuclear fission reactions. It does not cause the collision of alpha particles, as alpha particles are involved in nuclear decay processes. It also does not transform energy into mass, as mass is directly involved in nuclear reactions.

Hence the answer is Option A.

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What net ionic equation describes the reaction that occurs when AI2(SO4)3(aq)andNa3PO4(aq)are mixed together?

Answers

Answer: chemical reaction

Explanation:

Al3+(aq)+PO4^3-(aq)+3SO4^2-(aq0 --> 3AlPO4(s)+3Na+(aq)

This chart shows the experimental design of four students who are all observing what kind of bird seed birds tend to eat
more often
Student 1 Student 2 Student 3 Student 4
- Performed the - Repeated the - Repeated the - Repeated the
experiment experiment 5 experiment 2 experiment 5
once
times
times
mes
- Used the same - Used the same - Used the same - Used the same
area. same time area, different area, different area. same time
of day, and time of day, and time of day, and of day, and
same amount of different amount different amount same amount of
seeds
of seeds of seeds
seeds
Which student is the most likely to have reproducible results?
Student 1
Student 2
Student 3
Student 4

Answers

Answer:

student 2 i took the quiz

Explanation:

A 25 g sample of water releases 2913 J as it cools from 50.0°C. Calculate the final temperature of the water. (Water’s specific heat capacity is 4.184 J/g°C) (round answer to 2-3 sig figs)

Answers

Answer:

The final temperature is 22.2°C

Explanation:

Step 1:

Data obtained from the question. This includes the following:

Mass (M) = 25g

Heat (Q) = 2913 J

Initial temperature (T1) = 50.0°C

Final temperature (T2) =?

Specific heat capacity (C) = 4.184J/g°C

Step 2:

Determination of the final temperature.

The final temperature can be obtained as follow:

Q = MC(T1 – T2).. Since we are cooling

2913 = 25 x 4.184 (50 – T2)

2913 = 104.6 (50 – T2)

Divide both side by 104.6

50 – T2 = 2913/104.6

50 – T2 = 27.8

Collect like terms

T2 = 50 – 27.8

T2 = 22.2°C

The final temperature is 22.2°C

PLEASE HELP!CHEMISTRY QUESTION

On Venus the atmospheric pressure is 2700 mmHg and nitrogen gas makes up 3.0 % of the atmosphere. What is the partial pressure of nitrogen on Venus? mmHG

Answers

Answer: The partial pressure of nitrogen on Venus is 81 mmHg

Explanation:

To calculate the partial pressure of the gas, we use the equation given by Raoult's law, which is:

[tex]p_{A}=p_T\times \chi_{A}[/tex]

where,  

[tex]p_A[/tex] = partial pressure of nitrogen gas = ?

[tex]p_T[/tex] = total pressure = 2700 mmHg

[tex]\chi_A[/tex] = mole fraction of nitrogen gas = 3.0 % = 0.03

Putting values in above equation, we get:

[tex]p_{N_2}=2700mmHg\times 0.03\\\\p_{N_2}=81mmHg[/tex]

Hence, the partial pressure of nitrogen on Venus is 81 mmHg

what ions represent an acid? What ions represent a base?

Answers

Explanation:

acid - An acid is a substance or compound that releases hydrogen ions (H+) when in solution. ...

A base is a substance that releases hydroxyl ions (OH-) when in solution. ...

Figure 2.4. ...

pH is a unit of measurement of the concentration of hydrogen ions (H+) and hydroxyl ions (OH-) in an aqueous (water) solution

base - H 3O + is called a hydronium ion, and it makes things acidic. OH - is called a hydroxyl ion and it makes things basic.

Ice melts to form water. And water freezes to form ice. Choose the TRUE statement about these changes.
A. Both melting and freezing are physical changes.
B. Both melting and freezing are chemical changes.
C. Melting is a physical change while freezing is a chemical change.
D. Melting is a chemical change while freezing is a physical change.

Answers

Answer:

A. Both freezing and melting are physical changes.

Explanation:

Even if you were to freeze water, the molecules are still water molecules, and vise versa with melting it.

Answer: Option A) Both melting and freezing are physical changes.

Explanation:

A physical change is one which is easily reversible and in which no new substances are formed.

Hence, since ice melts to form water (melting), and water freezes to form ice back (freezing), both melting and freezing are easily reversible and do not form new products.

Thus, both melting and freezing are physical changes.

Which term identifies a factor that will shift a chemical equilibrium?

Answers

Answer:

Temperature

Explanation:

Temperature is identified as a factor which will result in a shift in the chemical equilibrium.

What is Chemical equilibrium?

This is defined as the point in which the concentrations of reactants and products remain constant with time.

Temperature could result in shifting the equilibrium to the left or right depending on factors such as nature of reactant etc.

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What temperature would 3.54 moles of xenon gas need to reach to exert a pressure of 1.57 atm at a volume of 34.6 l

Answers

Answer:

186.9Kelvin

Explanation:

The ideal gas law equation is PV = n R T

where

P   is the pressure of the gas

V   is the volume it occupies

n  is the number of moles of gas present in the sample

R  is the universal gas constant, equal to  0.0821 atm L /mol K

T  is the absolute temperature of the gas

Ensure units of the volume, pressure, and temperature of the gas correspond to R ( the universal gas constant, equal to  0.0821 atm L /mol K )

n = 3.54moles

P= 1.57

V= 34.6

T=?

PV = n R T

PV/nR = T

1.57 x 34.6/3.54 x 0.0821

54.322/0.290634= 186.908620464= T

186.9Kelvin ( approximately to 1 decimal place)

According to the chart, which substance has the lowest OH' concentration?
A)
urine
lemon juice
tomato juice
D)
black coffee

Answers

Answer:

lemon juice

Explanation:OH is in bases and lemon juice is an acid

Lemon juice correct I took this test already

How many grams of CaBr2 would be needed to create 450. mL of a 2.00 M
solution? Round off your answer to the nearest gram. Record your answer in the
grid below.​

Answers

Answer:

Mass of CaBr₂ = 179.9 g

Explanation:

Given data:

Volume of CaBr₂ solution = 450.0  mL (450/1000 = 0.45 L)

Molarity of solution = 2.00 M

Mass of CaBr₂ = ?

Solution:

Formula:

Molarity = number of moles / volume of solution in L

Now we will put the values.

2.00 M = number of moles / 0.45 L

Number of moles = 2 M  × 0.45 L

Number of moles = 0.9 mol  ( M = mol/L)

Mass of CaBr₂:

Mass of CaBr₂ = number of moles × molar mass

Mass of CaBr₂ = 0.9 mol  × 199.89 g/mol

Mass of CaBr₂ = 179.9 g

Final answer:

To prepare 450 mL of a 2.00 M CaBr2 solution, one would need 180 grams of CaBr2, calculated using the molarity formula and the molar mass of CaBr2.

Explanation:

To calculate the amount of CaBr2 needed to make a 2.00 M solution, we can use the formula: mass = molarity × volume × molar mass. The student wants a volume of 450 mL (0.450 L) of a 2.00 M CaBr2 solution. First, we need to find the molar mass of CaBr2 by adding the atomic masses of one calcium (Ca) atom and two bromine (Br) atoms. The atomic mass of Ca is approximately 40.08 g/mol, and the atomic mass of Br is approximately 79.90 g/mol. So, the molar mass of CaBr2 is 40.08 g/mol + (2 × 79.90 g/mol) = 199.88 g/mol.

Using the formula we have: mass = 2.00 M × 0.450 L × 199.88 g/mol = 179.892 g. Rounding off, we need 180 grams of CaBr2 to create 450 mL of a 2.00 M solution.

3.25 * 10 ^ 24 molecules of dinitrogen pentoxide would be how many moles?

Answers

Answer: 5.4 moles

Explanation:

Dinitrogen pentoxide has a chemical formula of N2O5

Now, based on Avogadro's law:

1 mole of any substance has 6.02 x 10^23 atoms

So, 1 mole of N2O5 = 6.02 x 10^23 molecules

Z moles of N2O5 = 3.25 x 10 ^ 24 molecules

To get the value of Z, cross multiply:

(3.25 x 10^24 molecules x 1mole) = (6.02 x 10^23 molecules x Z moles)

3.25 x 10^24 = (6.02 x 10^23 x Z)

Z = (3.25 x 10^24) ➗ (6.02 x 10^23)

Z = 5.4 moles

Thus, there are 5.4 moles of Dinitrogen pentoxide.

Answer:

5.39

full answer: 5.396878114

Explanation:

divide 3.25*10^24 over 6.022*10^23(which is a mole of anything in particles)

What is the chemical name for the compound If5

Answers

Answer:

Iodine pentafluoride

Explanation:

Answer:

Iodine pentafluoride

Which of the following is a chemical change?

A.)Butter melts

B.)Metal rusts.

C.)Water boils.

D.)Things dissolve.

Answers

Answer:

B.) Metal Rusts.

Thank You ☺️ ☺️.

Make It Brainlist Answer Please.....

If you visited a virtual Newton’s Cradle website or played with the real device, you might have noticed that after a few swings, the balls slow down. The height they reach gets shorter and shorter until they finally stop moving. If energy is transformed from one type to the other and transferred between the different balls in the device, why does the motion in Newton’s Cradle finally stop? (Hint: Think about something you decided to ignore earlier in the reading.)

Answers

Final answer:

The motion in Newton's Cradle stops due to friction and air resistance, which convert the system's kinetic and potential energy into thermal energy, eventually causing the balls to stop swinging.

Explanation:

The motion of Newton's Cradle ultimately stops because of the effects of friction and air resistance, which are forms of dissipative forces. These forces act to gradually convert the kinetic energy and potential energy of the swinging balls into thermal energy, which is dissipated into the environment. While kinetic energy is transferred from one ball to the next in the cradle, a small amount of energy is lost with each collision and swing due to these forces, ultimately causing the balls to come to a rest.

In the idealized physics examples, such as a perfectly elastic collision where no kinetic energy is lost, the motion would continue indefinitely. However, in the real world, due to non-conservative forces like friction and air resistance, kinetic energy is not perfectly conserved in collisions and is instead transformed into other forms of energy, such as heat. This gradual loss of energy to the surroundings is why the height the balls reach in Newton's Cradle decreases over time, and they eventually stop moving.

If the pressure changes from 1 atm to 3 atm, what does the volume of 30 L change to

Answers

Answer: 10L

Explanation:

Given that:

Initial pressure P1 = 1 atm

New pressure P2 = 3 atm

Initial volume V2 = 30 L

New volume V2 = ?

Since pressure and volume are involved, apply the formula for Boyle's law

P1V1 = P2V2

1 atm x 30L = 3 atm x V2

30 atm L = 3 atm x V2

V2 = (30 atm L / 3 atm)

V2 = 10L

Thus, volume changed to 10 liters

If a dolphin is producing a vocalization with a frequency of 35 Hz, traveling at 1470 m/s, what is the wavelength of the sound?

Answers

Answer:

42

Explanation:

Divide the distance by the time.

If a dolphin is producing a vocalization with a frequency of 35 Hz, traveling at 1470 m/s, then wavelength of sound is 42m.

How do we calculate wavelength?

Wavelength of sound will be calculated by using the below formula as:

λ = υ / f, where

υ = velocity or speed of sound = 1470 m/s

f = frequency of wavelength = 35 Hz

On putting values we get

λ = 1470 / 35 = 42m

Hence resultant wavelength of sound is 42m.

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According to the law of conservation of momentum, which statement is true
about a system that has no external forces acting on it?
O
A. An increase in momentum before a collision must equal an
increase in momentum after the collision.
O
B. The sum of the momentums of all objects in the system is always
zero.
C. The total momentum of all objects in the system does not change.
D. The momentum of each object in the system remains the same
before and after a collision.

Answers

Answer:

D. The momentum of each object in the system remains the same

before and after a collision.

Explanation:

The law of conservation of momentum states that the momentum in a closed system does not change unless there is an outside force influencing the closed system.

Sample Response: Jade's error occurs in the top-right square of the Punnett square. In this square, she identifies the phenotype as freckles, but to have freckles, the offspring must have at least one dominant allele. The offspring in this box are ff. Because there is no dominant allele present, the offspring will not have freckles.
What did you include in your response? Check all that apply.
Jade’s error occurs in the top-right square of the Punnett square.
Jade identifies the phenotype as freckles.
To have freckles, the offspring must have at least one dominant allele.
The offspring in this box are ff.
There is no dominant allele present, so the offspring will not have freckles.

Answers

Answer:

all of them

Explanation:

Answer:

1,2,3,4,5

Explanation:

plz brainlest me

What is the molality of a solution containing 0.25 g

of dichlorobenzene (C6H4Cl2) dissolved in 10.0 g of

cyclohexane (C6H12)?

Answers

Answer :  The molality of solution is, 0.170 mole/kg

Explanation : Given,

Mass of dichlorobenzene = 0.25 g

Mass of cyclohexane = 10.0 g

Molar mass of dichlorobenzene = 147.01 g/mole

Formula used :

[tex]\text{Molality}=\frac{\text{Mass of dichlorobenzene}\times 1000}{\text{Molar mass of dichlorobenzene}\times \text{Mass of cyclohexane (in g)}}[/tex]

[tex]\text{Molality}=\frac{0.25g\times 1000}{147.01g/mole\times 10.0g}=0.170mole/kg[/tex]

Therefore, the molality of solution is, 0.170 mole/kg

If the temperature of a gas changes, but the number of moles and volume remain constant, which of the following values must also change?
Density
Pressure
Number of atoms
Mass

Answers

Pressure must also change

If the temperature of a gas changes, but the number of moles and volume remain constant, Pressure also changed. Therefore, option B is correct.

What do you mean by pressure ?

The amount of force exerted per area is defined as pressure. To generate a large amount of pressure, you can use either a large force or a force applied over a small area.

Pressure is a situation that can have serious consequences if you don't perform well; thus, performing under pressure. It appears to be a life-or-death situation: your reputation, a relationship, your success, or your safety are all at stake. Your inability to distinguish between stress and pressure can be detrimental.

Pressure changes when the temperature of a gas changes but the number of moles and volume remain constant.

Thus, option B is correct.

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How many grams of oxygen gas are there in a 2.3L tank at 7.5 atm and 24° C?

Answers

Answer:

22.656 grams of oxygen gas are there in a 2.3L tank at 7.5 atm and 24° C

Explanation:

An ideal gas is characterized by three state variables: absolute pressure (P), volume (V), and absolute temperature (T). The relationship between them constitutes the ideal gas law:

P * V = n * R * T

where R is the molar constant of the gases and n the number of moles.

In this case you know:

P= 7.5 atmV= 2.3 Ln= ?R= 0.082 [tex]\frac{atm*L}{mol*K}[/tex]T= 24 °C= 297 °K (being 0°C=273°K)

Replacing:

[tex]7.5 atm* 2.3 L=n*0.082 \frac{atm*L}{mol*K} *297K[/tex]

Solving:

[tex]n=\frac{7.5 atm* 2.3 L}{0.082 \frac{atm*L}{mol*K} *297K}[/tex]

n=0.708 moles

Knowing that oxygen gas is a diatomic gas of molecular form O₂ and its mass is 32 g / mole, you can apply the following rule of three: if 1 mole contains 32 grams, 0.708 moles, how much mass will it have?

[tex]mass=\frac{0.708 moles*32 grams}{1mole}[/tex]

mass= 22.656 grams

22.656 grams of oxygen gas are there in a 2.3L tank at 7.5 atm and 24° C

Answer:

The mass of oxygen gas is 22.66 grams

Explanation:

Step 1: Data given

Volume of tank = 2.3 L

Pressure = 7.5 atm

Temperature = 24.0°C = 273 +24 = 297 K

Step 2: Calculate moles oxygen gas

p*V = n*R*T

⇒with p = the pressure of the oxygen gas = 7.5 atm

⇒with V = the volume of the tank : 2.3 L

⇒with n = the moles of oxygen gas = TO BE DETERMINED

⇒with R = the gas constant = 0.08206L*atm/mol*K

⇒with T = the temperature = 297 K

n = (p*V- / (R*T)

n = (7.5 atm * 2.3L) / (0.08206 L*atm/mol*L * 297K)

n = 0.708 moles

Step 3: Calculate mass of oxygen gas

Mass O2 = moles O2 = molar mass O2

Moles O2 = 0.708 moles * 32.0 g/mol

Moles O2 = 22.66 grams

The mass of oxygen gas is 22.66 grams

1. What is a physical change?
(10 Points)
O
A. A new substance is formed.
O
B. A substance is altered in size, shape or form.
O
C. Something has to break.
O
D. Something has to be folded.
What aboaieloben

Answers

Answer B

Explanation:

A Physical change is a change in one or more physical properties of matter without any change in chemical properties. For example physical change include changes in the size shape of matter.

If a substance has a half life of 45 days, how much of the original substance would be left after 90 days?

Answers

u would subtract 90 minus 45 which equals 45

After 90 days, two half-lives of a substance with a 45-day half-life will have passed, resulting in one-fourth or 25% of the original amount remaining.

If a substance has a half-life of 45 days, after 90 days, there would have been two half-lives that passed. During each half-life, half of the remaining substance decays. So after the first 45 days, you would be left with one-half of the initial amount, and after another 45 days (which totals 90 days), you would be left with half of that amount. This means after 90 days, one-fourth of the original substance would be left.

To calculate this, you can use the equation for exponential decay:

Final amount = Initial amount × [tex]1/2^{number of half lives}[/tex]

In this case, the number of half-lives is 90 days divided by the half-life of the substance, which is 45 days:

Number of half-lives = 90 days / 45 days per half-life = 2 half-lives

Therefore, the remaining amount of the substance would be:

Final amount = Initial amount ×(1/2)² = Initial amount ×1/4

This results in the correct answer that after 90 days, you'd have 25% or one-fourth of the original amount of the substance remaining.

If a student needs to make exactly 2.5 liters of
a 1.25 M solution of acetic acid from the 12.0
M stock solution in the chemistry closet, what
must the student do?

Answers

260 mL

The concentration of the solution must go from 12.0 M, which is what you have for the stock solution, to 1.25 M.
The dilution factor will thus be
12/1.25= 9.6
This means that the volume of the stock solution used for the dilution was
2.5 L/9.6= 0.26 L
Expressed in milliliters and rounded to two sig figs, the answer will be 260 mL.
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Received cash from Yarnell Inc., on account, $480. Mar. 20. Issued Invoice No. 515 to Electronic Central Inc., $135. Mar. 28. Received cash from Marshall Inc. for services provided, $100. Mar. 29. Received cash from Santorini Co. for Invoice No. 512 of March 2. Mar. 31. Received cash from McCleary Co. for services provided, $55. Prepare a single-column revenue journal and a cash receipts journal to record these transactions. Enter the transactions in chronological order. What are the last words Susie utters PLEASE HELP!!!Hannah conducts an investigation to determine if adding fertilizer to the soil helps tomato plants grow taller. She puts 20 tomato plants in individual pots and adds an equal amount of soil to each pot. All 20 plants are the same height at the beginning of the investigation. She adds the same amount of fertilizer to the soil of 10 pots. Hannah measures the height of each plant once a day for 15 days. The presence of fertilizer in the soil is the . The height of the tomato plants is the . The pots without fertilizer are the . If a car used 250.000 W of power to complete a race in 12 s. how much work did the car do? Despues del huracan de Galveston de 1900 la ciudad construyo un gigantesco malecon. para ayudar a proteger. contra futuros maremotos causados. por huracanes. I need help with this Why would the atomic bombs ofHiroshima and Nagasaki prevent manyus military Casualties? Which factors have the LEAST effect on the climate of the region? What is the area of the triangle below? Pier Company incurred $150,000 of research and development costs in its laboratory to develop a new product. It spent $20,000 in legal fees for a patent granted on January 2, 2020. On July 31, 2020, Pier paid $15,000 for legal fees in a successful defense of the patent. What is the total amount that should be debited to Patents through July 31, 2020? Select one: a. $150,000 b. $185,000 c. $170,000 d. $35,000 e. $20,000 what is a transitional boundary The probability that teddy wins a certain game of chance is 1/4.If teddy plays the game 120 times how many times can he expect to win the game Xion Co. budgets a selling price of $81 per unit, variable costs of $34 per unit, and total fixed costs of $280,000. During June, the company produced and sold 11,800 units and incurred actual variable costs of $361,000 and actual fixed costs of $295,000. Actual sales for June were $985,000. Prepare a flexible budget report showing variances between budgeted and actual results. List variable and fixed expenses separately. (Indicate the effect of each variance by selecting for favorable, unfavorable, and no variance) Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured. A different random sample of 1,100 drivers found 96.9% compliance.(2 Points) State an appropriate null and alternative hypothesis for testing whether or not there is any statistical difference (i.e., a two-sided test) in these two proportions measured initially and then one year later. Conduct the test of hypothesis using a significance level of = 0.05. Be sure to check the assumptions and conditions for your test. State the P-value of your test and also state your conclusion. (Feel free to use R in showing your work - and show your commands and output if using R.)(2 points) Develop a 95% confidence interval for the true difference in proportions between the first survey and the second survey and explain what this confidence interval means in context of this problem. (Feel free to use R in showing your work - and show your commands and output if using R. the value of the discriminant x2 + 6x + 9 = 0