Analyze the following reaction and the given scenarios to discuss the relationship between volume and reaction rate. Determine which reaction will happen at a faster rate and explain why.

NH3(g) + 2O2(g) → HNO3(l) + H2O(l)

The first reaction is started in a gas chamber with a volume of 10 L. The second reaction is started in a gas chamber with a volume of 5 L.

Answers

Answer 1

The second reaction with the volume of 5L will occur faster as compared to the first reaction of volume 10L.

Volume is inversely proportional to the rate of reaction.

As volume increases rate of reaction decreases and as volume decreases rate of reaction increases.

Let's consider a reaction A   →  B.

r is rate of reaction and K is rate constant, A is the concentration of reaction.

r = k(A)

r is directly proportional to the A.

But the concentration of A is in Moles/liters (i.e. moles per unit volume)

r is inversely proportional to the volume of vessel or chamber.

 Hence as volume increases rate of reaction decreases.

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Related Questions

What is the main problem with a Planetary system model of the atom?
Electrons moving in a circle would be accelerating, would lose energy, and
would therefore not be able to maintain their orbits.
O Protons would be required to emit electromagnetic radiation when accelerated.
O The Planetary system model requires a massless, positively charged matrix and
there is no evidence that this exists.
1 nts

Answers

Electrons moving in a circle would be accelerating, would lose energy, and would therefore not be able to maintain their orbits.

What are atomic models?

Atomic models are designed to determine the nature of the atom. There have been several atomic models whose ultimate aim have been to underscore the interaction between the particles that compose the atom.

The atomic models include;

The Thompson modelThe Rutherford modelThe Bohr modelThe Wave mechanics model

The main problem of the Planetary system model (Rutherford model) of the atom is that electrons moving in a circle would be accelerating, would lose energy, and would therefore not be able to maintain their orbits.

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please help me with this question

Answers

1. The resulting concentration will be 0.00044 mol/L

2. The minimum mass of sodium sulfite to add will be 0.4032 grams.

Stoichiometric problems

1. Using m1v1=m2v2

  m1 = 0.01 mol/L, v1 = 20 mL, v2 = 450 mL

 

       m2 = m1v1/v2 = 0.01 x 20/450 = 0.00044 mol/L

2. [tex]Na_2SO_3 + Ca(NO_3)_2 --- > 2NaNO_3 + CaSO_3[/tex]

Mole ratio of the reactants = 1:1

Mole of 80 mL, 0.0400 mol/L Ca(NO3)2 = 80/1000 x 0.0400 = 0.0032 mol

Equivalent mole of Na2SO3 = 0.0032 moles

Mass of 0.0032 moles Na2SO3 = 0.0032 x 126 = 0.4032 grams

Thus, the minimum mass of sodium sulfite to be added must be 0.4032 grams.

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Modeling Periodic Trends 1:
Why are periodic trends useful?
What are some examples of periodic trends?
What is ionization energy?
What was the purpose of creating your three-dimensional model?
Answer these questions in the discussion and conclusion of your Lab Report:

How does your model represent ionization energy?
What happens to the ionization energy of elements as you move from left to right across a period? Explain the trend.
What happens to the ionization energy of elements as you move down a group? Explain the trend.
In reactions between metals and nonmetals, metals tend to form cations while nonmetals tend to form anions. How does your model show this trend?

Answers

The periodic trend is very useful because it helps is understand the properties and reactivities of elements in chemical reactions

Some examples of periodic trends are:

Melting and boiling pointIonization energyElectron affinityElectronegativityAtomic size/ radiusIonic size / radius

What is ionization energy?

Ionization energy can simply be defined as that energy required to remove a valence electron from an atom of an element in a gaseous state to form a gaseous ions l

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The pressure in car tires is often measured in pounds per square inch ( lb/in.2 ), with the recommended pressure being in the range of 25 to 45 lb/in.2 . Suppose a tire has a pressure of 32.5 lb/in.2 . Convert 32.5 lb/in.2 to its equivalent in atmospheres.

Express the pressure numerically in atmospheres.

Answers

when we convert 32.5 lb/in² to atmosphere, the result obtained is 2.21 atm

Conversion scale

14.6959 lb/in² = 1 atm

Data obtained from the questionPressure (in lb/in²) = 32.5 lb/in²Pressure (in ATM) =?

How to convert 32.5 lb/in² to atm

14.6959 lb/in² = 1 atm

Therefore

32.5 lb/in² = 32.5 / 14.6959

32.5 lb/in² = 2.21 atm

Thus, 32.5 lb/in² is equivalent to 2.21 atm

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A gas that has a volume of 13 liters, a temperature of 25 0C, and an unknown pressure has its volume increased to 27 liters and its temperature decreased to 15 0C. If I measure the pressure after the change to be 1.3 atm, what was the original pressure of the gas?

Answers

This is an exercise in the general or combined gas law.

To start solving this exercise, we obtain the data:

Data:V₁ = 13 LtT₁ = 25 °C + 273 = 298 kV₂ = 27 LtT₂ = 15 °C + 273 = 288 kP₁ = 1.3 atmP₂ = ¿?

We use the following formula:

P₁V₁T₂ = P₂V₂T₁ ⇒ General Formula

Where

P₁ = Initial pressureV₁ = Initial volumeT₂ = Initial temperatureP₂ = Final pressureV₂ = Final volumeT₁ = Initial temperature

We clear the general formula for the final pressure.

[tex]\large\displaystyle\text{$\begin{gathered}\sf P_{2}=\frac{P_{1}V_{1}T_{2} }{V_{2}T_{1}} \ \to \ Clear \ formula \end{gathered}$}[/tex]

We substitute our data into the formula to solve:

[tex]\large\displaystyle\text{$\begin{gathered}\sf P_{2}=\frac{(1.3 \ atm)(13\not{l})(288\not{k} )}{(27 \not{l})(298 \not{K})} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf P_{2}=\frac{4867.2}{8046} \ atm \end{gathered}$}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf P_{2}=0.604 \ atm \end{gathered}$}}[/tex]

If I measure the pressure after the change by 1.3 atm, the original pressure of the gas will be 0.604 atm.

What does a change in the entropy of a system indicate?
A.
That the disorder of the system has changed

B.
That the equilibrium position has changed

C.
That the energy of the system has changed

D.
That the activation energy has changed

Answers

A change in the entropy of a system indicate that the disorder of the system has changed. Option A

What is a change in entropy?

A change in entropy indicates is a measure of the disorder, or randomness, in a system.

An increased value of entropy means more disorder, and a decreased value of entropy means less disorder.

These changes in entropy occur spontaneously

Thus, a change in the entropy of a system indicate that the disorder of the system has changed. Option A

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The diagram shows the setup of an experiment. A few observations of the experiment are listed in table below the diagram.

Experimental Observations

1. Color of solution turned blue
2. Shiny hair like crystals deposited on the copper strip

Which of the following is the correct explanation for one of the given observations?

Observation 1 is a result of silver ions moving into the solution.

Observation 2 is a result of nitrate ions moving into the solution.

Observation 1 is a result of silver ions changing their oxidation state.

Observation 2 is a result of silver ions changing their oxidation state.

Answers

Answer:

Observation 2 is a result of silver ions changing their oxidation state.

Explanation:

Silver is reduced and forms silver precipitate. Observation 1 is a result of coppe being oxidized and forming copper nitrate

What mass of water was produced if 350.0 L of carbon dioxide were made at STP? C3H8 (g) + 5O2(g) → 2CO2 (g) + 4H2O (g)

Answers

700 L of water was produced if 350.0 L of carbon dioxide were made at STP.

The quantitative relationship (ratio) between reactants and products in a chemical reaction that produces gases is known as gas stoichiometry. When the created gases are presumed to be ideal and their temperature, pressure, and volume are all known, gas stoichiometry is applicable.

The ideal gas equation is PV=nRT, where n is the number of moles and R is the gas constant, P is the pressure measured in atmospheres (atm), V is the volume measured in liters (L), and

Calculations based on stoichiometry assist scientists and engineers who work in the business world in estimating the number of items they will make using a particular process. They can also assist in determining if a product will be economical to produce.

Reduced growth, reproduction, and survivability for the consumer are typically the results of a significant stoichiometric imbalance between the primary producer and consumer.

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In Part A, we saw that the theoretical yield of aluminum oxide is 0.700 mol . Calculate the percent yield if the actual yield of aluminum oxide is 0.532 mol .

Answers

Considering the definition of percent yield, the percent yield is 76%.

Percent yield

The percent yield is the ratio of the actual return to the theoretical return expressed as a percentage.

The percent yield is calculated as the experimental yield divided by the theoretical yield multiplied by 100%:

[tex]percent yield=\frac{actual yield}{theorical yield}x100[/tex]

where the theoretical yield is the amount of product acquired through the complete conversion of all reagents in the final product, that is, it is the maximum amount of product that could be formed from the given amounts of reagents.

Percent yield in this case

In this case, you know:

actual yield= 0.532 molestheorical yield= 0.700 moles

Replacing in the definition of percent yield:

[tex]percent yield=\frac{0.532 moles}{0.700 moles}x100[/tex]

Solving:

percent yield= 76%

Finally, the percent yield is 76%.

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CH3CH2OH and CH3CHO
Which is more acidic?? ​

Answers

Answer:

CH3CH2OH

Explanation:

CH3CH2OH the ethanol is regarded as neutral since pH is very close to 7 and CH3CHO or acetaldehyde is an extremely weak basic max pH of 8.

2NaN3 → 2Na + 3N2. Calculate the mass of sodium azide required to decompose and produce the number of moles of nitrogen you calculated to get 0.016

Answers

The mass of sodium azide required to decompose and produce the number of moles of nitrogen calculated to get 0.016 is 0.011moles.

How to calculate number of moles?

The number of moles of a substance can be calculated stoichiometrically as follows:

According to this question, sodium azide decomposes to produce sodium and nitrogen gas as follows:

2NaN3 → 2Na + 3N2

2 moles of sodium azide produces 3 moles of N2

This means that 0.016 moles of N2 will be produced by 0.016 × 2/3 = 0.011moles of NaN3.

Therefore, the mass of sodium azide required to decompose and produce the number of moles of nitrogen calculated to get 0.016 is 0.011moles.

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Abc Which excerpt from an essay about higher education most clearly shows an example of logos? According to recent studies, more women than ever are attending four-year colleges. In fact, 36.6 percent of women attended college in 2019, compared to 35.4 percent of men. O When I went to college in 1994, I was the first person in my family to do so. My mother stood in my dorm room, surrounded by boxes of clothes and trinkets and holding back tears. O I was in awe of my sociology professor, who had studied the historical impacts of food in African American culture for 10 years. She spoke with such passion and energy that it was difficult to take your eyes off her. O Many college students look to land an exciting internship, believing that it will open doors in their field of study. However, internships can often distract from schoolwork. Mark this and return Save and Exit Next Submit​

Answers

The excerpt from an essay about higher education that most clearly shows an example of logos is:

Option d:  Many college students look to land an exciting internship, believing that it will open doors in their field of study. However, internships can often distract from schoolwork.

What is Logos?

The Logos Definition is one that is often argued by a lot of people as people tends to appeal to others emotions and some other times, people do appeal to one's' ethics or morals.

The term logos is a term that connote the use of logic. It also includes the use of deductive reasoning to get to a conclusion.

The excerpt from an essay about higher education that most clearly shows an example of logos is:

Option d:  Many college students look to land an exciting internship, believing that it will open doors in their field of study. However, internships can often distract from schoolwork.

Option d is correct because it shows the cause and its effect.

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what is the Thermodynamics of leaching of ilmenite in hydrochloric acid for titania pigment production?

Answers

The thermodynamics of leaching of ilmenite in hydrochloric acid for titania pigment production is an industrial production of nano-sized titanium dioxide (TiO2).

What is thermodynamics?

Thermodynamics is defined as the change in the energy of system that brings about work in that system.

The leaching of ilmenite which is a titanium-iron oxide mineral with HCl can lead to the production of titanium dioxide (TiO2).

The use of thermodynamics in this process controls the heat and energy of the leaching system leading to a better yield of final products.

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Calculate the osmotic pressure of 20 m solution of
LiCl at 25C

Answers

Answer:

979 atm

Explanation:

To calculate the osmotic pressure, you need to use the following equation:

π = i MRT

In this equation,

-----> π = osmotic pressure (atm)

-----> i = van't Hoff's factor (number of dissolved ions)

-----> M = Molarity (M)

-----> R = Ideal Gas constant (0.08206 L*atm/mol*K)

-----> T = temperature (K)

When LiCl dissolves, it dissociates into two ions (Li⁺ and Cl⁻). Therefore, van't Hoff's factor is 2. Before plugging the given values into the equation, you need to convert Celsius to Kelvin.

i = 2                             R = 0.08206 L*atm/mol*K

M = 20 M                    T = 25°C + 273.15 = 298.15 K

π = i MRT

π = (2)(20 M)(0.08206 L*atm/mol*K)(298.15 K)

π = 979 atm

Which organelle in the table is correctly matched with its function?
which one is it??

Answers

Answer:

[tex]\huge\boxed{\sf Ribosomes}[/tex]

Explanation:

Organelles and their function:Lysosomes:Lysosomes functions in the digestion of food of the cell.It contains hydrolytic enzymes.Vacuole:Vacuole mostly functions in storage.Mitochondrion:Mitochondrion is the power house of the cell.Ribosome:Ribosome functions in protein synthesis.

[tex]\rule[225]{225}{2}[/tex]

Which statements are NOT involved in boiling water? (check all the possible answers)
a.weakening intermolecular interactions
b.breaking covalent bonds
c.producing single atoms of H and O
d.breaking hydrogen bonds

Answers

B.
There is no covalent bonds in pure H2O. Only hydrogen

An ion of an element can have the same as another element.
A. number of protons
B. None of these
OC. electron configuration
D. atomic mass

Answers

Answer:

A

Explanation:

In a simple perspective, an ion of an element is an element +- [tex]n[/tex] amount of electrons.

We know that electrons have atomic mass, so we can mark off D

We know that with more or fewer electrons, the electron configuration would change

However, the number of protons won't change in the ion of an element, this is because an ion is only the change in electrons, not protons or neutrons (the particles that make up a nucleus of an atom)

Copper metal has a face-centered cubic structure with all atoms at lattice points and a density of 8.93 g/cm^3. The edge length of the unit cell is 361.5 pm. Calculate the mass of 1 atom of copper.

Answers

The mass of 1 atom of copper metal in the given face-centered cubic structure is determined as  1.054 x 10⁻²² g.

Mass of 1 atom of copper

The mass of 1 atom of copper is calculated as follows;

mass of 1 atom of copper = molar mass of copper / Avogadro's number

substitute the value of molar mass of copper and Avogadro's number;

mass of 1 atom of copper = (63.5 g/mol) / (6.023 x 10²³)

mass of 1 atom of copper = 1.054 x 10⁻²² g

Thus, the mass of 1 atom of copper is determined as  1.054 x 10⁻²² g.

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A 3.82 g piece of limestone contains 2.62 g of CaCO3
. Based on these results, what is the mass percentage of CaCO3
in limestone?

Answers

Considering the definition of percentage by mass, the mass percentage of CaCO₃ is 68.59%.

What is mass percentage

The percentage by mass expresses the concentration and indicates the amount of mass of solute present in 100 grams of solution.

In other words, the percentage by mass of a component of the solution is defined as the ratio of the mass of the solute to the mass of the solution, expressed as a percentage.

The percentage by mass is calculated as the mass of the solute divided by the mass of the solution, the result of which is multiplied by 100 to give a percentage. This is:

[tex]mass percentage=\frac{mass of solute}{mass of solution}x100[/tex]

Mass percentage of CaCO₃

In this case, you know:

mass of CaCO₃: 2.62 gramsmass of limestone: 3.82 grams

Replacing in the definition of mass percentage:

[tex]mass percentage=\frac{2.62 grams}{3.82 grams}x100[/tex]

mass percentage= 68.59 %

Finally, the mass percentage of CaCO₃ is 68.59%.

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In a calorimetry experiment 2.50 g of methane is burnt in excess oxygen. 30% of the energy released during the combustion is absorbed by 500 g of water, the temperature of which rises from 25°C to 68°C. The specific heat capacity of water is 4.184 J/g°C. What is the total energy released per gram of methane burnt?​

Answers

The total energy released per gram of methane burnt is  119,941.3 J/g.

Energy absorbed by water

Q = mcΔθ

where;

m is mass of waterc is specific heat of waterΔθ is change in temperature

Q = (500)(4.184)(68 - 25)

Q = 89,956 J

Total energy released per gram of methane burnt

0.3T =  89,956 J

T =  89,956 J/0.3

T = 299,853.3 J

Total energy per gram of methane, E = T.E/m

E = (299,853.3 J) / (2.5 g)

E = 119,941.3 J/g

Thus, the total energy released per gram of methane burnt is  119,941.3 J/g.

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At 1755 oC the equilibrium constant for the reaction: 2 IBr(g) I2(g) + Br2(g) is KP = 0.748. If the initial pressure of IBr is 0.00465 atm, what are the equilibrium partial pressures of IBr, I2, and Br2? p(IBr) = . p(I2) = . p(Br2) = .

Answers

From the calculation, the equilibrium partial pressure of IBr is 6.5 * 10^-4 atm while that of I2 and Br2 is 0.002 atm.

What is the equilibrium pressure?

We must set up the ICE table as shown hence;

              2 IBr(g) < ------> I2(g) + Br2(g)

I              0.00465            0        0

C                  - 2x                + x      + x

E            0.00465 - 2x       + x      + x

Kp = pI2. pBr2/pIBr^2

pI2 = pBr2 = x

0.748 = x^2/  0.00465 - 2x

0.748 (0.00465 - 2x) = x^2

3.5 * 10^-3 - 1.496x = x^2

x^2 + 1.496x  - 3.5 * 10^-3 = 0

x=0.002 atm

Hence;

For IBr =   0.00465 - 2(0.002) = 6.5 * 10^-4 atm

For I2 and Br2 = 0.002 atm

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Determine the molecular shape of each of the following species.

Answers

Answer:

See-saw

Explanation:

To determine the molecular shape of BrF₄⁺, you need to

1.) Calculate the valence electrons of BrF₄⁺

    ----> Add the valence electrons of each individual atom

    ----> Take the positive charge into account (subtract 1 electron)

2.) Draw the Lewis Dot diagram of BrF₄⁺

    ----> Each bond has 2 electrons

    ----> Bromine can have an expanded octet

3.) Determine the molecular shape of BrF₄⁺

The valence electrons found in metallic bonds are different from other bonds
because
A. their valence electrons are immobile
B. they allow for the conductivity of electricity
c. they're able to share electrons with other atoms
D. their valence electrons are free-roaming
SUBMIT

Answers

Answer:

D.) their valence electrons are free-roaming

Explanation:

Metals tend to arrange themselves in crystalline structures once they form metallic bonds. The electrons around the positive nuclei are delocalized, and thus freely float within the structure. This is unique to metallic bonding.

balance the redox reaction in alkaline medium & identify the oxidizing & reducing agents

I- + MnO4- ——> IO3- + MnO2

Answers

The balanced redox equation of the reaction is given below:

I⁻ + 2 MnO₄ + H₂O → IO₃⁻ + 2 MnO₂ + 2 OH⁻

The oxidizing agent is MnO₄ while the reducing agent is I⁻.

What are redox equations?

Redox equations are equations in which oxidation and reduction reactions occur together.

Redox reactions can take place in alkaline or acidic mediums.

The balanced redox equation of the reaction is given below:

I⁻ + 2 MnO₄ + H₂O → IO₃⁻ + 2 MnO₂ + 2 OH⁻

The oxidizing agent is MnO₄ while the reducing agent is I⁻

In conclusion, a balanced redox equation is one in which the atoms and the change in oxidation state is equal on both sides of the reaction.

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pls help question is above ​

Answers

a. The calories increase by 9:00 whenever the running speed goes up by two. so so if a dog were running at 10 km/h it would be 54 calories burnt

b. they are multiplied by 9

A neutral atom has high electronegativity.

Describe what happens to this atom during ionic bond formation.

Answers

Please get it cleared and stored into your cerebrum that a cation is formed when a neutral atom loses one or more electrons from its valence electron shell.

However too, on other hand an anion is formed when a neutral atom gains one or more electrons in its outermost electron shell.

A cation means a positive ion

An anion means a negative ion

What is electronegativity?

Electronegativity is one of physical periodicity and property of elements that describes the tendency of an atom to attract electrons toward itself.

Generally, electronegativity of an atoms of elements in a particular trend is affected by both its atomic number and the distance that its valence electrons reside from the charged nuclei.

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A hazard is ________. An example of a hazard is ____.

Answers

According to the research, a hazard is the real possibility that we will suffer some harm. An example of a hazard is free toxic gases.

What is a hazard?

It is associated with situations that have potentially harmful effects on the body, the environment or property.

In chemistry, it is understood as those conditions of potential health damage caused by uncontrolled exposure to chemical agents of various kinds, such as the release of toxic and flammable gases such as ethanol.

Therefore, we can conclude that according to the research, a hazard is the real possibility that we will suffer some harm. An example of a hazard is free toxic gases.

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A reaction produces 156 mL of carbon dioxide gas collected
over water at a temperature of 25.0 °C and a pressure of 99.81
kPa. Calculate the volume of CO2 at STP.
mL
Your answer should be rounded to three significant figures. Do not include units
In your answer.

Answers

The volume of the CO₂ produced at STP, given the data is 141 mL

Combined gas equation

P₁V₁ / T₁ = P₂V₂ / T₂

Where

Initial pressure => P₁Initial temperature => T₁Initial volume => V₁New pressure => P₂New temperature => T₂New Volume => V₂

Data obtained from the questionInitial volume (V₁) = 156 mL Initial temperature (T₁) = 25.0 °C = 25 + 273 = 298 KInitial pressure (P₁) = 99.81 KPaNew pressure (P₂) = STP = 101.325 KPaNew temperature (T₂) = STP = 273 KNew volume (V₂) =?

How to determine the volume at P

P₁V₁ / T₁ = P₂V₂ / T₂

(99.81 × 156) / 298 = (101.325 × V₂) / 273

Cross multiply

298 × 101.325 × V₂ = 99.81 × 156 × 273

Divide both sides by 298 × 101.325

V₂ = (99.81 × 156 × 273) / (298 × 101.325)

V₂ = 141 mL

Thus, the volume of the CO₂ produced at STP is 141 mL

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Perform the following operation
and express the answer in
scientific notation.
6.0×103-2.3×103
[?]x10[?]

Answers

Answer:

6.0 x 10³ - 2.3 x 10³ = 3700

3700 ---------> 3.7 x 10³

4 and 5 pls and thank uuu

Answers

Answer:

4. -ol

5. cyclic ketone

Explanation:

biology stuff

sorry it's hard to explain

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Why cant the a value in the standard form of a quadratic function ax^2+bx+c=0 be equal to 0? In which data set is the mean greater than the median? If the two countries were to specialize and trade with one another, which country would import airplanes? which gas law is not included in the combined gas law Which law gave girls and women equal access to all areas of education? the brady bill the defense of marriage act the equal pay act of 1963 title ix Destiny bags 3 grocery bags a minute. how long will it take her to bag 150 bags? Under acquisition in the all traffic > source/medium report, filtering by "referral" traffic, what website sent the highest numbers of users? Which clinical manifestation may occur during the acute viral infection stage of human immunodeficiency virus infection A card is randomly chosen from the cards in the image. Find the probability of choosing the cards with either Q or R on them.P(Q or R) = ________ Why are sterile compounding pharmacy technicians not allowed to wear jewelry, cosmetics, perfume, hairspray, artificial nails, extenders, or nail polish? HELPwhich detail best provides specific evidence to develop the authors claim in the passage? A customer's stock value seems to be rising exponentially. The equation forthe linearized regression line that models this situation is log(y) = 0.30x +0.296,where represents number of weeks. Which of the following is the bestapproximation of the number of weeks that will pass before the value of thestock reaches $600? Which statement most clearly shows an example of ethos? There is nothing more important than making sure everyone has access to a quality education. O Today, too many recent college graduates are struggling to secure a job in their field of study. O As the CEO of a major technology company, I am constantly making tough hiring decisions. O While a college education isn't everything, it does make a difference on a job application. Mark this and return Save and Exit Next Submit How do i plot 3 points on a graph when all I am given is "x=4" ? and I need to find "x and y" for 3 points. By 2015, the foreclosure rate was down by 20%. The metropolitan statistical areas showing the highest percentage of improvement included all of the following EXCEPT 2. Michelle asks her husband to build a pen for her chickens. Three of the sides will be built with mesh fencing, while the fourth side will back up to the east side of her house. She wants the enclosed area to be 400 square feet. The cost of the fence meshing will be $4.18 per foot and the pen will also need 4 corner posts costing $9.50 each.a. [6 pts] Let x be the length of the side of the chicken coop that backs up to the east side of the house. Write a function P(x), for the price of the materials for the pen in terms of x. Simplify your answer.b. [3 pts] Use your calculator to find the dimensions of the pen that costs the least. Set your window with: 0x80 and 10 y 400, and round your answer to 2 decimal places. (Insert your graph here. You may hand draw the graph or insert an image of the graph from Desmos)c. [1 pt] What is the total cost of the pen? Round to dollars and cents. Which represents the main cause of the cultural conflicts in the 1920s:Select one:a.differences between the traditional cultural values and the modern cultural values.b.racial struggles between African Americans and European immigrants.c.differences regarding prohibition.d.political differences between the Northern and Southern states. Segment ab falls on line 6x 3y = 9. segment cd falls on line 4x 2y = 8. what is true about segments ab and cd? they are parallel because they have the same slope of 2. they are perpendicular because they have slopes that are opposite reciprocals of 2 and one half. they are parallel because they have the same slope of 2. they are perpendicular because they have opposite reciprocal slopes 2 and negative one half. acd is the answer to this multiple choice question Please look at the attachment.