Use the reaction shown l to answer these questions.
2CO(g) + 2NO) → N2(g) + 2CO2(g)
If 42.7 g of CO is reacted completely at STP, what
volume of N2 gas will be produced?

Answers

Answer 1

To determine the volume of N_{2} gas produced when 42.7 g of CO is reacted completely at STP (Standard Temperature and Pressure), we need to use the concept of molar ratios and the ideal gas law. By calculating the number of moles of CO and using the balanced equation, we can find the number of moles of [tex]N_{2}[/tex]. Then, using the ideal gas law, we can convert the moles of N_{2} to volume at STP.

First, we need to determine the number of moles of CO using its molar mass. The molar mass of CO is approximately 28.01 g/mol. By dividing the given mass (42.7 g) by the molar mass, we can calculate the number of moles of CO. Next, using the balanced equation, we see that the stoichiometric ratio between CO and N2 is 2:1. This means that for every 2 moles of CO, 1 mole of N_{2}is produced. By applying the stoichiometric ratio, we can determine the number of moles of N_{2}produced.

Finally, to find the volume of N2 gas at STP, we can use the ideal gas law. At STP, the pressure is 1 atmosphere (atm) and the temperature is 273.15 K. The ideal gas law equation, PV = nRT, can be rearranged to V = (nRT)/P, where V is the volume, n is the number of moles, R is the ideal gas constant, T is the temperature in Kelvin, and P is the pressure. By substituting the calculated number of moles of N_{2}, the ideal gas constant, the temperature at STP, and the pressure at STP into the ideal gas law equation, we can determine the volume of N_{2} gas produced.

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Related Questions

what is the volume of 9.783 x 1023 atoms of he at 9.25 atm and 512k?

Answers

The volume of 9.783 x 10^23 atoms of helium at 9.25 atm and 512 K is approximately 1.97 liters.

To calculate the volume of gas, we can use the ideal gas law equation:

PV = nRT

Where:

P is the pressure (in atmospheres)

V is the volume (in liters)

n is the number of moles

R is the ideal gas constant (0.0821 L·atm/(mol·K))

T is the temperature (in Kelvin)

Given:

Number of atoms of helium (n) = 9.783 x 10^23 atoms

Pressure (P) = 9.25 atm

Temperature (T) = 512 K

First, we need to convert the number of helium atoms to moles. Since 1 mole contains Avogadro's number (6.022 x 10^23) of particles:

Number of moles (n) = Number of atoms / Avogadro's number

Number of moles (n) = 9.783 x 10^23 atoms / 6.022 x 10^23

Number of moles (n) ≈ 1.625 moles

Now, we can rearrange the ideal gas law equation to solve for the volume (V):

V = (nRT) / P

V = (1.625 moles * 0.0821 L·atm/(mol·K) * 512 K) / 9.25 atm

V ≈ 1.97 liters

Therefore, the volume of 9.783 x 10^23 atoms of helium at 9.25 atm and 512 K is approximately 1.97 liters.

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The energy needed to overcome intermolecular forces is called?

Answers

Answer:

vaporization.

Explanation:

Which sodium salt(s) of an amphiprotic ion will produce a basic solution when added to pure water? 1. NaHSO4 (Ka = 1.03 x10^-2; K, = 9.71 x10^-13) 2. NaHCO3 (KA = 4.69 x10^-11, Kg = 2.24 x10^-8) 3. NaHSO3 (Kg = 6.73 x10^-8; Ky = 7.19 x10^-13) a. I and 2
b. l only c. 2 only d. I and 3
e. 3 only

Answers

Amphiprotic ion refers to any species that can act as both a proton acceptor and a proton donor. The amphiprotic salt reacts with water and produces either basic or acidic solutions depending on the salt's amphiprotic ion's strength as an acid or base.

The amphiprotic ion of NaHCO3 is bicarbonate ion (HCO3–), and the amphiprotic ion of NaHSO3 is bisulfite ion (HSO3–). The bicarbonate ion is a weak base that reacts with water to form an alkaline solution, while the bisulfite ion is a weak acid that reacts with water to form an acidic solution.NaHSO4 has the strong conjugate base SO4^2-, which will not donate protons to water and produce a basic solution. Therefore, the only sodium salt(s) of an amphiprotic ion that produces a basic solution when added to pure water are NaHCO3 and Na2CO3. Hence, the correct option is (c) 2 only.

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What is the pH and pOH of a 2.2 x 10^-3 HBr solution?

Answers

Answer:

The pH and pOH of a 2.2*10⁻³ HBr solution is 2.66 and 11.34  respectively.

Explanation:

pH - short for hydrogen potential - is a measure of the acidity or alkalinity of a solution. So the pH is a parameter that indicates the concentration of hydrogen ions [H]⁺ that exist in a solution.

The pH is expressed as the negative base 10 logarithm of the hydrogen ion concentration. This is represented by:

pH= - log [H⁺]

pH is measured on a scale of 0 to 14. On this scale, a pH value of 7 is neutral, which means that the substance or solution is neither acidic nor alkaline. A pH value of less than 7 means that it is more acidic, and a pH value of more than 7 means that it is more alkaline.

HBr is a strong acid. Then, in aqueous solution it will be  totally dissociated. So the proton concentration is equal to the initial concentration of  acid:

[H⁺]= [HBr]= 2.2*10⁻³ M

So:

pH= - log (2.2*10⁻³)

pH= 2.66

On the other hand, pOH is a measure of the concentration of hydroxyl ions in a solution. The sum of pH and pOH equals 14:

pH + pOH= 14

2.66 + pOH= 14

pOH= 14 - 2.66

pOH= 11.34

The pH and pOH of a 2.2*10⁻³ HBr solution is 2.66 and 11.34  respectively.

what simple machine would be best for lifting a couch through a 3rd floor apartment window?

Answers

Answer:

Pully

Explanation:

I would think that a pully would be most effective for lifting it Up and into the apartment (at least if you have a suitable spot to put the pully)

Pls help if you can, Thx! Describe ozone creation and loss in the ozone layer. Does one occur more than the other?

Answers

They Ozone was created millions of years ago from a natural process frozen in ice during the ice age, the gases that make up the ozone layer were formed naturally from a reaction of ultraviolet radiation and molecular oxygen which was frozen in the ice during the time of the ice age was released over years as the ice melted. However over hundreds of years of mechanical evolution and other man based forms of carbon production the ozone layer has decreased much faster than it has been repaired, meaning loss of the ozone layer occurs more often

Ozone was created millions of years ago from a natural process frozen in ice during the ice age, the gases that make up the ozone layer were formed naturally from oxygen atoms accompanied by a reaction of ultraviolet radiation and molecular oxygen which was frozen in the ice during the time of the ice age was released over years as the ice melted.

What is an atom?

An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.

The protons are positively charged and neutrons are neutral and hence the nucleus is positively charged. The electrons which revolve around the nucleus are negatively charged and hence the atom as a whole is neutral and stable due to presence of oppositely charged particles.

Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.

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Which of the following would produce the most fluid lipid bilayer?
Choose one:
A. phospholipids with fully saturated tails of 20 carbon atoms
B. phospholipids with fully saturated tails of 18 carbon atoms
C. large amounts of cholesterol
D. phospholipids with tails of 18 carbon atoms and two double bonds
E. phospholipids with tails of 20 carbon atoms and two double bonds

Answers

Phospholipids with tails of 18 carbon atoms and two double bonds would   produce the most fluid lipid bilayer

Option (D) is correct.

The fluidity of a lipid bilayer is influenced by the composition of the phospholipids that make up the membrane. The presence of unsaturated fatty acid tails, indicated by the presence of double bonds, increases the fluidity of the lipid bilayer.

phospholipids with tails of 18 carbon atoms and two double bonds, would produce the most fluid lipid bilayer among the given choices. The presence of double bonds in the fatty acid tails introduces kinks in the hydrocarbon chains, which prevent them from packing tightly together. This increases the fluidity of the lipid bilayer by allowing the phospholipids to move more easily.

Therefore, the correct option is (D).

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Name the compound and determine the number of moles present. SHOW YOUR WORK.

17.4 g Na

Answers

17.4 grams of Sodium

Na= 1 mole.

13. The element with the following electron configuration [Kr] 4d105s25p2 belongs to
Group of answer choices
actinide.
metal.
transition element.
nonmetal.
lanthanide.
14. Which is a physical change?
Group of answer choices
KNO3 dissolves in water
A firecracker explodes
Popcorn pops when placed in a microwave
A nail rusts
A piece of wood is burned

Answers

The element with the following electron configuration [Kr] 4d105s25p2 belongs to transition element.

The given electron configuration belongs to an element with atomic number 52. It can be written as 1s22s22p63s23p63d104s24p64d105s25p2. It belongs to the transition element as the electrons are filled in d orbital. KNO3 dissolves in water is a physical change.A physical change refers to a change in the state or properties of matter without any modification in its composition. The given options that are physical change and rest is a chemical change.KNO3 dissolves in water is a physical change as the salt is still KNO3 and has not been modified into something else. It simply separated into smaller particles to mix uniformly with the solvent, which in this case is water.A firecracker explodes, when popcorn pops when placed in a microwave and a piece of wood is burned are all examples of chemical change.A nail rusts is also a chemical change.

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How many atoms are in 0.650 mole of zinc?
NEED TO KNOW ASAP PLEASE

Answers

There are
4.517

10
23
atoms of Zn in 0.750 mols of Zn.

all of the following are ways that reduce the environmental impact of meat production except _______.

Answers

All of the following are ways that reduce the environmental impact of meat production except Raising beef cattle in feedlots. The correct option is A.

A traditional way of producing meat that often has a greater environmental impact than alternative methods is raising beef cattle in feedlots.

Feedlots pack a lot of animals into a small area, which can cause problems like water pollution from manure runoff, overuse of antibiotics, and significant greenhouse gas emissions.

Thus, the correct option is A.

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Your question seems incomplete, the probable complete question is:

Option B, D, and E, on the other hand, all help to lessen the environmental impact of meat production. Option B, pasture-based beef cattle production, permits more natural grazing and lessens the need for extensive feeding operations.

All of the following are ways that reduce the environmental impact of meat production except A.) Raising beef cattle in feedlots B.) Raising beef cattle in pastures C.) Decreasing the demand for meat D.) Developing meat substitutes E.) Raising beef cattle on rangelands

Question
What is the name of the covalent compound with the formula P2N3?

Answers

Answer:

P2N5

Explanation:

you have to plus it 2 times


Please help me ASAP I’m almost done.

Answers

Answer:

i think the answer is c

Explanation:

sorry if im wrong i am most likely wrong but ye

2.0 L of a gas is at STP. What is the new pressure in kPa if the volume changes to 10.5 L and the temperature and # of molecules remain constant?

Answers

Answer:

What is the new volume if the temperature is constant? V=2.50L. P = lookPa. P2=40k Pa. V2 = x. PV = P2 ... If a sample of gas occupies 6.8 L at 327°C

Classify the two amino acids below according to their effective polarity in proteins at pH=7.4. n= Nonpolar up = Uncharged polar cp= Charged polar 1. 2. Classify the two amino acids below according to their effective polarity in proteins at pH=7.4. n= Nonpolar up = Uncharged polar cp= Charged polar 1. 2. Cysteine (Cys or C ) Polarity

Answers

At pH = 7.4, Cysteine (Cys or C) can be classified as up = Uncharged polar. Cysteine is a polar amino acid with a sulfhydryl group.

Cysteine is a non-polar amino acid that is made up of an aliphatic side chain containing a sulfhydryl group (–SH). This polar cysteine side chain's polarity enables the formation of disulfide bridges with other cysteine side chains in other proteins and amino acids. The polar amino acid cysteine can form a disulfide bond with another cysteine in an amino acid chain, which gives a high degree of stability to the protein molecules. This amino acid contributes to the stabilization of protein molecules by forming hydrogen bonds and disulfide bonds. The electronegative sulfur atom is responsible for its polar nature. Cysteine can be classified as an uncharged polar amino acid at pH = 7.4. Nonpolar amino acids are hydrophobic (water-repelling) and do not interact well with water. Conversely, charged amino acids are hydrophilic (water-attracting) and interact well with water.

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Emu
Sparrow
How are emus and sparrows alike?
A. Both birds build nests in trees.
B. Both birds are taller than humans.
C. Both birds catch small animals while flying.
U
D. Both birds have a beak for breaking apart food.

Answers

A for sure sparrows are like birds but sparrows build holes in trees and birds do nests in trees so for sure is a

Pressure is inversely proportional to which of the following, assuming all other variables are constant? Select the correct answer below O force area O both force and area O neither force or area

Answers

According to the statement, Pressure is inversely proportional to the area. Therefore, the correct answer is "Area."

According to the Physics, the pressure exerted by an object is defined as the force applied per unit area of the surface on which the force is applied. Mathematically, it can be written as,P = F / A. Where P is the pressure, F is the force and A is the area on which the force is applied.

From this equation, we can understand that the pressure exerted is inversely proportional to the area on which the force is applied. Therefore, if the area on which the force is applied is increased, then the pressure exerted by the object is decreased and vice versa. In addition, there are several factors that affect the pressure exerted by an object, including the magnitude of force applied, the area of contact, and the angle of application of the force. If all other variables are constant, then the pressure is solely dependent on the force and area of contact. Thus, pressure is inversely proportional to the area.

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20 POINTS: Why it's important for science fair participants to not only create an informative and attractive presentation, but also to detail their information, ideas, and research in a science report.​

Answers

Answer:

To show what they know!

Explanation:

If you're not showing how you did your experiment thoroughly, then nobody will understand what you did! For instance, if you spent 2 weeks studying really hard about how music affects different kinds of animals, and only put down that music affects animals and no showing your work. Then no one will know how much effort and work you put into it! If you put all the minor details into the presentation, then more than likely everyone will know where your coming from!

Hope this helps! Plz mark as brainliest!

HCl (aq) + NaOH (aq) = NaCl (aq) + H2O (l)

What type of reaction is the above?​

Answers

Answer:

Neutralization reaction

Explanation:

It is a reaction between an acid and a base

A student dilutes 50.0 mL of a 0.10 mol/L to 0.010 mol/L. Which statement is true?​

Answers

The total amount of solute decreases.

why do you think we have chosen reagents that generate bromine in situ instead of using liquid bromine br2 as a reagent?

Answers

The main reason for choosing reagents that generate bromine in situ instead of using liquid bromine Br₂ as a reagent is safety and ease of handling.

Using reagents that generate bromine in situ offers several advantages over using liquid bromine Br₂ directly. First, bromine is a highly reactive and corrosive liquid, posing safety risks during handling. It can cause severe burns and has toxic fumes, requiring careful precautions and specialized equipment. By generating bromine in situ, we can minimize the direct exposure and risks associated with handling liquid bromine.

Reagents that generate bromine in situ are often more stable, easier to store, and have a longer shelf life compared to liquid bromine. They can be prepared and used as needed, eliminating the need for storing and handling potentially hazardous quantities of liquid bromine. Overall, the use of in situ generated bromine reagents provides a safer and more convenient approach for conducting chemical reactions that require bromine.

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T/F. In an aqueous and diethyl ether extraction the aqueous will be the top layer?

Answers

The statement is True. In an aqueous and diethyl ether extraction, the aqueous layer will be the top layer. This is due to the difference in density between water and diethyl ether.

Water has a higher density compared to diethyl ether, which causes it to settle at the bottom layer. Diethyl ether, being less dense, will form the top layer. During the extraction process, immiscible solvents like water and diethyl ether are used. Since these solvents do not mix together, they form separate layers based on their densities. Water, being denser, will settle at the bottom while diethyl ether, being lighter, will float on top. This allows for the separation of compounds or substances that are preferentially soluble in either of the solvents. By carefully extracting the top or bottom layer, depending on the desired component, one can isolate specific compounds from a mixture.

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PLSSSSSS ANSWERRRRR???

Answers

Answer:

( j ) should be the correct option because atomic number of fluorine is 9 so, no. of electrons and protons should be same I.e. 9

How many molecules are in 3.01 g of H2O

A. 0.167 molecules
B. 54.18 molecules
C. 1.01x10^23 molecules
D. 6.022x10^23

Answers

Answer:

Option C

Explanation:

No. of Molecules=(Given Weight/Molar weight)*Avagadro No.

Given weight of H2O=3.01g

Molar weight of H2O=18g

On applying the formula, we get:

No. of Molecules=(3.01/18)*6.023*10²³=1.01*10²³

using the equation e=(hcrh)(1n2)=(−2.18×10−18j)(1n2) calculate the energy of an electron in the hydrogen atom when n=2 .

Answers

When n=2, the energy of an electron in the hydrogen atom is calculated using the equation e = (-2.18 × 10^-18 J)(1/n^2). Plugging in the values, the energy is found to be -5.45 × 10^-19 J.

The energy of an electron in the hydrogen atom when n=2 can be calculated using the equation e=(hcR_H)(1/n^2), where e represents energy, h is the Planck constant (6.62607015 × 10^-34 J·s), c is the speed of light (2.998 × 10^8 m/s), R_H is the Rydberg constant for hydrogen (1.0973731568539 × 10^7 m^-1), and n is the principal quantum number. Plugging in the values, we get e = (-2.18 × 10^-18 J)(1/n^2). When n=2, the energy can be calculated as e = (-2.18 × 10^-18 J)(1/2^2) = -5.45 × 10^-19 J.

The explanation of the calculation involves substituting the given values into the equation. First, the Planck constant (h) is multiplied by the speed of light (c) and the Rydberg constant for hydrogen (R_H). Then, we multiply the result by 1 divided by the square of the principal quantum number (n^2). In this case, n is given as 2. Thus, we calculate 1/2^2, which is 1/4. Multiplying this value by the previously calculated expression, we find the energy to be -5.45 × 10^-19 J. The negative sign indicates that the energy is bound, meaning the electron is in a lower energy state within the hydrogen atom.

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HELP ASAP 30 POINTS
IS THIS CORRECT?

Answers

answer: yes I believe so

explain: I just think it is I have done this before

yes, it is correct . hope i helped

1. Assume that the top of your head has a surface area of 25cm x 25 cm. How many newtons of force push on your head at sea level? 2. If you estimate this area to be 100 in^2 what is the force in pounds

Answers

1. Approximately 6333.125 newtons of force push on your head at sea level. Given that the surface area of the top of your head is 25 cm x 25 cm = 625 cm², we can convert it to square meters:

To calculate the force pushing on your head at sea level, we need to use the formula for pressure:

Pressure = Force / Area

Area = 625 cm² × (1 m / 100 cm)^2 = 0.0625 m²

At sea level, the standard atmospheric pressure is approximately 101,325 Pascals (Pa) or 101.325 kilopascals (kPa). Therefore, the force pushing on your head can be calculated by multiplying the pressure by the area:

Force = Pressure × Area

Force = 101,325 Pa × 0.0625 m² = 6333.125 N (to three decimal places)

2.If the area of your head is estimated to be 100 square inches, approximately 1468.276 pounds of force push on your head at sea level.If we estimate the area to be 100 square inches, we can convert it to square meters:

Area = 100 in² × (0.0254 m / 1 in)^2 = 0.064516 m²

Using the same atmospheric pressure, the force pushing on your head can be calculated:

Force = Pressure × Area

Force = 101,325 Pa × 0.064516 m² = 6530.645 N (to three decimal places)

To convert this force into pounds, we can use the conversion factor of 1 N = 0.2248 lb:

Force in pounds = 6530.645 N × 0.2248 lb/N = 1468.276 lb (to three decimal places)

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evidence concerning crystallized and fluid intelligence shows that

Answers

Evidence concerning crystallized and fluid intelligence shows the diverse nature of intellectual development.

Research on both crystallized and fluid intelligence suggests that there are different stages of intellectual development. Crystallized intelligence reflects the sum of knowledge, abilities, and experience obtained through education and life events. It includes vocabulary, factual knowledge, and problem-solving abilities that rely on previously learned information.

In contrast, the ability to reason logically, solve unexpected issues, and adapt to changing circumstances is referred to as fluid intelligence. It calls on abilities like pattern recognition, spatial imagery, and abstract reasoning. Studies have revealed that individuals can have varying levels of crystallized and fluid intelligence, and these skills can vary across different periods of life due to factors like education, environmental effects, and cognitive aging.

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A 25.0 mL sample of 0.150M hydrocyanic acid is titrated with a 0.150M NaOH solution. What is the pH before any base is added? The Ka of hydrocyanic acid is 4.9 X 10^-10.

Answers

The pH before any base is added to the hydrocyanic acid solution is approximately 0.82.

Before any base is added, the pH of the hydrocyanic acid solution can be calculated using the Ka value and the initial concentration of the acid. The pH of a solution is determined by the concentration of H+ ions present. Hydrocyanic acid (HCN) is a weak acid that partially dissociates in water. The dissociation can be represented as follows: HCN ⇌ H+ + CN-. The Ka value of hydrocyanic acid (HCN) is given as 4.9 x 10^-10.

To find the pH before any base is added, we can assume that the dissociation of HCN is negligible compared to its initial concentration. Therefore, the concentration of H+ ions can be considered equal to the initial concentration of HCN. Using the given concentration of hydrocyanic acid (0.150M), we can calculate the pH by taking the negative logarithm (pH = -log[H+]). The concentration of H+ ions is 0.150M, and thus the pH is determined as the negative logarithm of 0.150, which is approximately 0.82.

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Identify the parts of a wave using the illustration and the function below.

Answers

Answer: 1. Crest  2. Trough 3. Wave Length 4. Amplitude

Explanation:

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Assume that a competitive firm has the total cost function:TC=1q340q2+840q+1800TC=1q3-40q2+840q+1800Suppose the price of the firm's output (sold in integer units) is $750 per unit.Using tables (but not calculus) to find a solution, what is the total profit at the optimal output level?Please specify your answer as an integer. Impact of COVID 19 on the Australian economy (RBA)The outlook for the Australian and global economies is being driven by the COVID-19 pandemic. The necessary social distancing restrictions and other containment measures that have been in place to control the virus have resulted in a significant contraction in economic activity, but economic conditions will improve as the pandemic is brought under control and containment measures are relaxed.Global GDP is expected to fall sharply in the first half of 2020. The declines in the March quarter were driven by a contraction in Chinese and euro area activity as well as the rollout of containment measures elsewhere late in the quarter. A further fall in global GDP is expected in the June quarter, with many countries expected to record quarterly declines in GDP.The Australian economy is expected to record a contraction in GDP of around 10 per cent over the first half of 2020; total hours worked are expected to decline by around 20 per cent and the unemployment rate is forecast to rise to around 10 per cent in the June quarter. Inflation is expected to be negative in the June quarter largely as a result of lower fuel prices and free child care. (Source RBA)ABS data show that employed people were 13013000 in March 2020, and 12418700 in April 2020 respectively; unemployed people were 718800 in March 2020 and 823300 in April 2020. The participation rate was 66.0% in March 2020 and 63.5% in April 2020.Fiscal Policy ResponsesOver the past month, the Federal Government has announced an unprecedented fiscal injection of $194 billion (almost 10 per cent of GDP) consisting of $39 billion directly to business, $25 billion to households and the $130 billion Job-Keeper payment to support business and households through the COVID-19 shutdown.Monetary Policy responsesThe Reserve Bank of Australia has reduced the cash rate to 0.25%Possible OutcomeA plausible baseline scenario is that the various restrictions are progressively relaxed in coming months and are mostly removed by the end of September, except for some restrictions such as international travel. If this occurs, and the spread of the virus in Australia remains limited, GDP growth is likely to turn around in the September quarter and the recovery would strengthen from there.According the facts detailed in the case study, explain the impact of COVID-19 on the Australian economy. Use ADAS model to assist your explanation. Juanita knows how to ride a bike, but she doesnt remember learning how to ride a bike. This is an example of a(n) ____ memory.A. Implicit B. Explicit C. Episodic D. Autobiographical Please school is almost overThe outsiders bookEvent: When Ponyboy, Dally, and Johnny meet Cherry Valance and MarciaWhat is the perspective of Cherry ValanceWhat is the perspective of Ponyboy three children are riding on the edge of a merry-go-round that is 130 kg, has a 1.6-m radius, and is spinning at 20 rpm. the children have masses of 22, 28, and 33 kg. if the child who has a mass of 28 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? Let A be a square matrix with 4" -0. Show that I + A is invertible, with (1 + A)-! --A9+A10 Show that for vectors v and win an Inner product space V. we have ||v + wl'+ liv - wil" = 2(v + w'). and T(1 +2) = (-3,8,0). . Let T: P(R) +R be a linear transformation such that T(1) = (6.-3, 1). T(1 +3.r) = (0,6, -2), Compute T(-1 + 4x + 2).