Which solution has the higher pH? Explain.(a) A 0.1 M solution of an acid with Ka = 1x10⁻⁴ or one with Ka = 4x10⁻⁵(b) A 0.1 M solution of an acid with pKa 3.0 or one with pKa = 3.5(c) A 0.1 M solution or a 0.01 M solution of a weak acid(d) A 0.1 M solution of a weak acid or a 0.1 M solution of a strong acid(e) A 0.1 M solution of an acid or a 0.01 M solution of a base(f) A solution of pOH 6.0 or one of pOH 8.0

Answers

Answer 1

Smaller the Ka value, weaker would be the acid, so will have high pH

A 0.1 M solution of an acid with a pKa = 3.0 or one with a pKa = 3.5

acid with lower Pka value is more acidic, i.e, lower pH value, so acid with pKa = 3.5 will have higher pH.

a) Smaller the Ka value, weaker would be the acid, so will have high pH, so acid with Ka = 4 x 10-5 will have high pH value.

What is pH?

The pH scale determines how acidic or basic water is. The range is 0 to 14, with 7 representing neutrality. Acidity is indicated by pH values below 7, whereas baseness is shown by pH values above 7. In reality, pH is a measurement of the proportion of free hydrogen and hydroxyl ions in water.

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Related Questions

What information does the potential energy diagram reveal about a reaction?

What information does the potential energy diagram reveal about a reaction?

Answers

Answer: The energy changes that occur during a chemical reaction can be shown in a diagram called a potential energy diagram, or sometimes called a reaction progress curve. A potential energy diagram shows the change in potential energy of a system as reactants are converted into products.

Explanation:

Answer:

It shows whether the reaction is exothermic or endothermic.

Explanation:

Mention five characteristics of an ideal fuel

Answers

Answer:

Ideal fuel shows the following characteristics:

• It should be less expensive,

• It should be easily available,

• It should produce a large amount of heat,

• It can be transported easily.

• It has high calorific value.

• It should burns easily in air at a moderate rate.

RODINNIS
COURSES
onal Science
Attempt 1 of 2
Which of the following distinctions are used to identify sedimentary rock? Select all that apply.
o where is was formed
conditions it was formed under
n when it was formed
what it is composed of
how many layers it consists of
NEED HELP ASAP (check the picture)

RODINNISCOURSESonal ScienceAttempt 1 of 2Which of the following distinctions are used to identify sedimentary

Answers

where it was formed and. conditions it was formed under

The scientific method is a strict of steps that are always followed in the same order true or false

Answers

False

hope it helps comment if you have any questions hope you have an amazing day

Table salt (NaCl) is a compound. Every molecule of table salt has the same properties as every other molecule of table salt because they all have one sodium (Na) atom and one chlorine (Cl) atom. This is referred to as ____________.

A. atomic number
B. fixed composition
C. a formula
D. a heterogeneous mixture

Answers

Table salt (NaCl) is a compound. Every molecule of table salt has the same properties as every other molecule of table salt because they all have one sodium (Na) atom and one chlorine (Cl) atom. This is referred to as fixed composition.

Hope this helps! Please correct me if I'm wrong :)

Every molecule of table salt has the same properties as every other molecule of table salt because they all have one sodium (Na) atom and one chlorine (Cl) atom. This is referred to as " fixed composition".

What is fixed composition?

A chemical compound has a predictable makeup. Every sample of a compound has almost the same composition, or even the identical proportion, by mass, of the components contained in the compound, as per Proust's reasoning.

What is a molecule?

Atomic building blocks make up molecules.

Therefore, every molecule of table salt has the same properties as every other molecule of table salt because they all have one sodium (Na) atom and one chlorine (Cl) atom. This is referred to as " fixed composition".

Hence, the correct answer will be option (B)

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true or false: sn2 mechanism for nucleophilic substitution reactions involves one step and occurs with inversion of configuration.

Answers

Sn2 mechanism for nucleophilic substitution reactions involves one step and occurs with inversion of configuration is true.

Sn2 is a single-step mechanism in which the bond is broken by the attacking nucleophile from the back of the carbon atom. Two reactants are involved in this reaction.

In this mechanism, The nucleophile approaches the substrate at 180° to the carbon leaving group. The carbon-nucleophile bond is formed and the carbon leaving group breaks.

The nucleophile can attack at the same side where the leaving group is present or the nucleophile can attack from the opposite side of the carbon atom. Since complete inversion of configuration is required, so it is compulsory for the nucleophile to attach from the opposite side.

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alternating co-polymers consist of [blank 1] alternating monomers and are among the most [blank 2] of co-polymers.

Answers

Alternating co-polymers consist of [blank 1] different monomers and are among the most [blank 2] well-defined and structurally ordered of co-polymers.

1. The blank 1 is filled with "two" or "differently" as alternating co-polymers are composed of two different monomers that alternate in the polymer chain. Each monomer unit is repeated in a regular sequence.

2. The blank 2 is filled with "well-defined" or "ordered" as alternating co-polymers have a highly ordered structure due to the alternating arrangement of monomer units. This regular sequence provides a distinct pattern and uniformity in the polymer chain, making them more organized compared to other types of co-polymers.

In summary, alternating co-polymers are composed of two different monomers arranged in an alternating pattern, and they exhibit a high degree of structural order and uniformity.

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The whole reason things stay afloat or sink is because water is​

Answers

Answer:

I think the density of the object determines if it floats or sinks

The more mass you have of a substance:

A. the greater its thermal energy
B. the slower the motion of its particles
C. the smaller its thermal energy
D. the faster the motion of its particles

Answers

A beachside all objects have thermal energy but thermal energy is the sum of the energy of all the particles so the more particles the more energy.

A lump of zinc is tossed into a beaker of 500L of 14M hydrochloric acid. this reaction produces Hydrogen Gas and zinc (II) chloride. If the hydrogen gas is combusted and produces 645L of water vapor at 400 kelvin and 1.75 atm, what is the mass of the zinc?

Answers

If the hydrogen gas is combusted and produces 645L of water vapor at 400 kelvin and 1.75 atm, 2796.96 g mass of the zinc is produced .

Using the ideal gas law equation:

PV = nRT

n = (PV) / (RT)

= (1.75 atm * 645 L) / (0.0821 atm·L/(mol·K) * 400 K)

= 42.71 moles

the balanced equation for the reaction between zinc and hydrochloric acid:

Zn + 2HCl -> \(ZnCl_{2}\)  + \(H_{2}\)

1 mole of zinc produces 1 mole of hydrogen gas. Therefore, the moles of zinc are also 42.71.

The molar mass of zinc is 65.38 g/mol.

Mass of zinc = moles of zinc * molar mass of zinc

= 42.71 moles * 65.38 g/mol

= 2796.96 g

Therefore, the mass of the zinc is 2796.96 grams.

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A sample of hydrogen at 1.56 atm had it's pressure decreased to 0.73 atm producing a new volume of 751 mL. What was its original volume?

Answers

Answer:

This is probably too late but the answer is 351

Explanation:

0.73x751=548.23

After getting both new pressure and new volume and having only one original pressure which is 1.56 you´ll have to divide 548.23 by 1.56 and you´ll end up with 351 which should be the original volume.

alculate the standard free-energy change at 25 ∘C for the following reaction:
Mg(s)+Fe2+(aq)→Mg2+(aq)+Fe(s)
Express your answer to three significant figures and include the appropriate units.
ΔG∘ =

Answers

The standard free-energy change at 25 ∘C for the given reaction, Mg(s)+Fe₂+(aq)→Mg₂+(aq)+Fe(s) can be calculated using the equation:ΔG∘ = ΣnΔGf∘ (products) − ΣnΔGf∘ (reactants)where ΔGf∘ is the standard free energy of formation of the compound, n is the stoichiometric coefficient of each compound in the reaction.

The values of ΔGf∘ for the given reaction are:

Mg₂+ (aq):−467.2 kJ/mol Fe(s): 0 kJ/mol Fe₂+(aq): −237.2 kJ/mol Mg(s): 0 kJ/molΔG∘ =

ΣnΔGf∘ (products) − ΣnΔGf∘ (reactants)ΔG∘ =

[ΔGf∘ (Mg₂+ (aq)) + ΔGf∘ (Fe(s))] - [ΔGf∘ (Mg(s)) + ΔGf∘ (Fe₂+(aq))]ΔG∘ =

[−467.2 kJ/mol + 0 kJ/mol] - [0 kJ/mol + (−237.2 kJ/mol)]ΔG∘ =

−230.0 kJ/mol At 25 ∘C, the standard free-energy change for the given reaction is −230.0 kJ/mol. The units of ΔG∘ are kilojoules per mole (kJ/mol). Hence, the answer is -230.0 kJ/mol.

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I need help for chemistry, I barely know English...​

I need help for chemistry, I barely know English...

Answers

Answer:

6c12

Explanation:


What is the circulatory system?
a. The system that helps you breathe.
b. The system that helps you move.
c. The system that transports blood.
d. The system that sends electrical signals.

What is the circulatory system?a. The system that helps you breathe.b. The system that helps you move.c.

Answers

Answer:

c

Explanation:

Answer:

C

Explanation:

The respiratory is breathing

The muscular system is the movement

Darwin told us that science:
saves lives

Answers

Answer:yup!!

Explanation:

Identify the parts of the periodic table square somehow would be greatly appreciated

Identify the parts of the periodic table square somehow would be greatly appreciated

Answers

According to the given picture:

A represents the atomic number.

B represents the chemical symbol.

C represents the atomic mass.

D represents the name of the element.

helpp

simplify the meaning of these

circuit
electric current
voltage difference
ohms law
resistance ​

Answers

Answer:

circuit

electric current

voltage difference

ohms law

resistance ​

Explanation:

Circuit - a roughly circular line, route, or movement that starts and finishes at the same place.

Electric current - A net unidirectional movement of electrons, or other charge carriers, caused by a potential difference

Voltage difference - A potential difference of one Volt is equal to one Joule of energy being used by one Coulomb of charge when it flows between two points in a circuit.

Ohms law -a law stating that electric current is proportional to voltage and inversely proportional to resistance.

Resistance - The refusal to accept or comply with something; the attempt to prevent something by action or argument.

How does heat transfer work?

Answers

Answer:

Conduction is one of the three main ways that heat energy moves from place to place. The other two ways heat moves around are radiation and convection. Conduction is the process by which heat energy is transmitted through collisions between neighboring atoms or molecules

Explanation:

The cultures of prehistoric humans are known mostly through the excavation of stone tools and other relatively imperishable artifacts. The early tool making traditions are often referred to as being paleolithic (literally "Old Stone Age). The Oldowan and Acheulian tool traditions of the first humans were the simplest applied research basic research Scientihe thought O philosophies technologies

Answers

The cultures of prehistoric humans are primarily known through the excavation of stone tools and other durable artifacts, such as the Oldowan and Acheulian tool traditions.

Stone tools and imperishable artifacts serve as key archaeological evidence for understanding prehistoric cultures. Through meticulous excavation and analysis, archaeologists have been able to piece together the lifestyles, technological advancements, and social behaviors of early human societies. The term "paleolithic" refers to the Old Stone Age, a time when humans relied on stone tools as their primary implements.

The Oldowan tool tradition is considered the earliest stone tool industry, dating back around 2.6 million years ago. It is characterized by simple tools, such as choppers and scrapers, which were crafted by flaking off pieces from larger stones. These tools were primarily used for basic activities like butchering and processing animal carcasses.

Later, the Acheulian tool tradition emerged around 1.76 million years ago, representing an advancement in stone tool technology. Acheulian tools, such as handaxes and cleavers, were more refined and standardized, showcasing an increased level of sophistication in tool-making techniques. These tools served a wide range of purposes, including hunting, woodworking, and shaping raw materials.

By studying the Oldowan and Acheulian tool traditions, researchers gain valuable insights into the cognitive abilities, cultural development, and technological progress of early humans. The examination of these artifacts provides evidence of their adaptability, problem-solving skills, and the gradual refinement of their tool-making techniques over time.

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for each of these following complexes: hexaaquacobalt(iii), trioxalatocobaltate(iii), triglycinatocobaltate(iii), tricarbonatocobaltate(iii), and tris(1,10-phenanthroline)cobalt(iii).... write out the chemical formula identify the coordination number of the metal ion identify whether the ligand is monodentate or polydentate does the complex form cis-trans isomers? does the complex form enantiomers?

Answers

Here are the chemical formulas, coordination numbers, and information on ligand dentate, isomerism, and enantiomers for each of the complexes you listed.



1. Hexaaquacobalt(III): [Co(H2O)6]3+. Coordination number: 6. Ligand: monodentate water molecules. No cis-trans isomers or enantiomers due to the symmetry of the octahedral shape.

2. Trioxalatocobaltate(III): [Co(C2O4)3]3-. Coordination number: 6. Ligand: polydentate oxalate ions. There are cis-trans isomers due to the presence of three bidentate oxalate ions in the complex.

3. Triglycinatocobaltate(III): [Co(gly)3]3-. Coordination number: 6. Ligand: tridentate glycinate ions. No cis-trans isomers or enantiomers due to the symmetry of the octahedral shape.

4. Tricarbonatocobaltate(III): [Co(CO3)3]3-. Coordination number: 6. Ligand: polydentate carbonate ions. There are no cis-trans isomers or enantiomers due to the symmetry of the octahedral shape.

5. Tris(1,10-phenanthroline)cobalt(III): [Co(phen)3]3+. Coordination number: 6. Ligand: bidentate phenanthroline molecules. There are cis-trans isomers due to the presence of three bidentate phenanthroline ligands in the complex, and there are enantiomers due to the chiral nature of the phenanthroline ligands.

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Your answer is partially correct. What factors must you consider to determine the sign of AS for the reaction 2N2O(g) → 2N2(g) + O2(g) if it occurs at constant temperature? Select all that apply. (a) the number of moles of products versus reactants: in this case the number of moles increases (b) the number of moles of products versus reactants: in this case the number of moles decreases (c) the state of the products versus reactants (d) the complexity of the molecules: N2O is more complex than either N or O2 (e) the complexity of the molecules: N2O is less complex than either N2 or 02 (f) the total number of valence electrons: N2O has more valence electrons than N2 and O2 (g) the total number of valence electrons: N20 has less valence electrons than Nz and O2 AS is expected to be positive

Answers

To determine the sign of ΔS for the reaction \(2N_{2}O (g)\) → \(2N_{2} (g)\) + \(O_{2} (g)\) at a constant temperature, you should consider the following factors (a), (c), and (d).

(a) The number of moles of products versus reactants: in this case, the number of moles increases. This is because the reaction goes from 2 moles of reactants (\(2N_{2}O (g)\)) to 3 moles of products (\(2N_{2} (g)\) + \(O_{2} (g)\)). An increase in the number of moles generally leads to an increase in entropy, making ΔS positive.

(c) The state of the products versus the reactants: in this case, both products and reactants are in the gaseous state, so there is no significant change in entropy due to a change in state.

(d) the complexity of the molecules: \(N_{2}O\) is more complex than either N or \(O_{2}\)


To sum up, the factor to consider for determining the sign of ΔS for the given reaction is (a), (c), and (d)

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Please help...

Draw a diagram showing the bonding in:

a) Tetrachloromethane [CCI4]

Answers

Answer:

here u go! ................

Please help... Draw a diagram showing the bonding in: a) Tetrachloromethane [CCI4]

Answer:

Hope this is ok :))

Explanation:

Please help... Draw a diagram showing the bonding in: a) Tetrachloromethane [CCI4]

Air-vapor mixture at a pressure of 297 kPa has a dry-bulb temperature of 30 C and a wet-bulb temperature of 20 C. Determine the relative humidity in percentage.

Answers

Therefore, the relative temperature and humidity of the air-vapor mixture is approximately 55.3%.

To determine the relative humidity of the air-vapor mixture, we need to use the concept of wet-bulb depression. Wet-bulb depression is the difference between the dry-bulb temperature and the wet-bulb temperature.

First, we need to determine the saturation pressure of the air at the dry-bulb temperature of 30 C. Using a psychrometric chart, we find the saturation pressure to be approximately 42.5 kPa.

Next, we need to determine the partial pressure of water vapor in the air-vapor mixture. Using the wet-bulb temperature of 20 C, we find the saturation pressure to be approximately 23.5 kPa.

Therefore, the partial pressure of water vapor in the air-vapor mixture is 23.5 kPa.

To calculate the relative humidity, we use the formula:

RH = (partial pressure of water vapor / saturation pressure) x 100%

Plugging in the values, we get:

RH = (23.5 kPa / 42.5 kPa) x 100% = 55.3%

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What substances will dissolve in water?
nonpolar
polar

Answers

Answer:

polar

Explanation:








0. A radioactive isotope has a half-life of 273 days. How much of a sample of 100 grams of the isotope would remain after 732 days?

Answers

The amount of a sample of 100 grams of a radioactive isotope that would remain after 732 days would be 14.0625 grams.

Given, the Half-life of the radioactive isotope = 273 days.Time elapsed = 732 days.Initial quantity or sample = 100 grams. Let's determine how many half-lives have passed since 732 days: Number of half-lives = (time elapsed) / (half-life)= 732 / 273 ≈ 2.683

Half-life #1: After the first half-life of 273 days, the sample will be halved. Therefore, after 273 days, the quantity remaining will be 1/2 * 100g = 50g

Half-life #2: After the second half-life of 273 days, the sample will be halved again. Therefore, after 546 days, the quantity remaining will be 1/2 * 50g = 25gHalf-life #3: After the third half-life of 273 days, the sample will be halved again.

Therefore, after 819 days, the quantity remaining will be 1/2 * 25g = 12.5gHowever, the time elapsed from 819 days to 732 days is 87 days. This time interval is less than the half-life. As a result, it is critical to calculate the amount that would be left over after 732 days using a different method. Let us consider the remaining amount from 819 days (12.5g) as the new initial quantity for the remaining 87 days. The half-life of the radioactive isotope is 273 days.

Therefore, the rate of decay for each day will be: Rate of decay per day = (1/2)^(1/273)≈ 0.002540401Therefore, the amount of the sample remaining after 87 days (or 0.3195 half-lives) can be calculated using the following formula: Q = Q0(0.5)^(t/h)where Q0 is the original quantity, Q is the remaining quantity after time t, and h is the half-life of the isotope. Q = 12.5g × (0.5)^(0.3195)Q ≈ 6.5625g

Therefore, the total amount of the sample remaining after 732 days can be found by adding up the amounts of the sample remaining from each half-life: Total remaining = 50g + 25g + 6.5625gTotal remaining ≈ 81.5625 the amount of a sample of 100 grams of a radioactive isotope that would remain after 732 days would be 14.0625 grams.

After 732 days, the sample would have decayed by three half-lives (819 days) and an additional 87 days. As a result, 81.5625g of the sample will remain after 732 days. Therefore, 100g - 81.5625g = 18.4375g of the sample would have decayed in 732 days.

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_____ use boxes to represent the various positions or departments within a firm and lines to connect the boxes, indicating who reports to whom..

Answers

This diagrammatic representation is called an organizational chart or an organogram.

Organizational charts use boxes or rectangles to represent positions or departments within a firm, and lines or arrows to connect them, indicating the reporting relationships and hierarchy within the organization.   Organizational charts can vary in complexity depending on the size and structure of the firm. They provide a visual representation of the reporting relationships and help individuals understand the hierarchy and structure of the organization.

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Calculate the standard free energy change (ΔG ma ​
) for the following reaction at 298 K based on the provided equilibrium constant. Ans. ΔG m

=−8.55kd PC 3

(g)+Cl 2

(g)⇌PCl 3

(g)K=31.5

Answers

The standard free energy change (ΔGₘ°) for the reaction is -8.55 kJ/mol.

The standard free energy change (ΔGₘ°) can be calculated using the equation:

ΔGₘ° = -RT ln(K)

Where:

ΔGₘ° is the standard free energy change

R is the gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin (298 K)

K is the equilibrium constant

Given that the equilibrium constant (K) is 31.5, we can substitute the values into the equation:

ΔGₘ° = -8.314 J/(mol·K) × 298 K × ln(31.5)

Converting the units of the gas constant to kJ/(mol·K) and simplifying the equation, we have:

ΔGₘ° = -(8.314 × 298 × ln(31.5)) / 1000 kJ/mol

Calculating the expression within the parentheses and converting to kJ/mol, we get:

ΔGₘ° ≈ -8.55 kJ/mol

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which example has particles that can be drawn closer to occupy smaller volume

Answers

One example of particles that can be drawn closer to occupy a smaller volume is a gas.

Understanding Gaseous State

In the gaseous state, particles have high kinetic energy and are not strongly attracted to each other. They move freely and randomly, colliding with each other and the container walls.

Since there are minimal intermolecular forces holding them together, gas particles can be compressed or drawn closer together by reducing the volume of the container.

By decreasing the volume of a gas, such as by compressing it in a cylinder or container, the particles have less space to move around. They collide with each other more frequently, increasing the frequency of intermolecular collisions. As a result, the gas particles are drawn closer together, and the overall volume occupied by the gas decreases.

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A sample of an unknown substance has a mass of 120.0 grams. As the substance cools from 90.0°C to 80.0°C, it released 963.6) of energy. a. What is the specific heat of the sample? b. Identify the substance among those liseted in the table below. Substance Specific Heart Water liquid 4.134 / Water 2.03 / Water steam 2.01 / Ethanol 2.441/C Aluminum 0.897 "C Granite 0.803 "C tron 0.469 C

Answers

a. Change in temperature is -10.0 C b. Unknown substance is likely granite.

a. To calculate the specific heat of the sample, we can use the formula Q = mCΔT, where Q is the energy released, m is the mass of the substance, C is the specific heat, and ΔT is the change in temperature.

First, we need to calculate ΔT: ΔT = final temperature - initial temperature = 80.0°C - 90.0°C = -10.0°C

Next, we plug in the values: 963.6 J = 120.0 g x C x (-10.0°C)

Solving for C, we get C = 0.802 J/g°C.

b. To identify the substance, we can compare the specific heat we calculated (0.802 J/g°C) to the specific heats listed for the different substances. The closest match is granite, which has a specific heat of 0.803 J/g°C. Therefore, the unknown substance is likely granite.

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please can someone help me

please can someone help me

Answers

The both can be separated by adding water to the mixture.

How can you separate diamonds from sugar?

Diamonds and sugar are two very different substances, and it is relatively easy to separate them from each other using physical and chemical methods.

One common method to separate diamonds from sugar is by using their different physical properties. Diamonds have a much higher density than sugar, so if you mix a sample of both substances in water, the diamonds will sink to the bottom while the sugar will float on top and dissolve in the water. This is known as gravity separation.

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Other Questions
the primary actor in a use case is generally: a. a person, software system, or hardware device that interacts with the system. b. the project sponsor. c. the programmer. d. the systems analyst. Consider a closed economy, in which induced expenditure is 0.6Y and autonomous expenditure is $200 billion. What is the equilibrium level of income? $200 billion $500 billion $250 billion $1,000 billion b) Which of the following is (are) CORRECT about the Y=AE model? The 45-degree line shows that Y=AE The general price level of goods and services is fixed The output level is solely determined by the demand side of the economy All of the answers are correct c) Which of the following is a leakage variable? Exports Imports Autonomous investment Autonomous consumption d) If the AD curve shifts $20 billion to the right when autonomous spending rises by $2 billion, the aggregate expenditure model says that the multiplier is equal to __ and the price level will ___. 5; remain constant 10; rise 10; remain constant 5; rise If the initial concentration of so2cl2so2cl2 is 0.150 mm , what is the concentration of so2cl2so2cl2 after 190 ss ? [so2cl2]t[so2cl2]t = 1.13 mm submitprevious answersrequest answer Penny reads 11 pages in 1/2 hour what is the unit rate for pages per hour n IgE mediated hypersensitivity, all of the following are needed exceptA) antigen presenting cell B) B cell C) IgE antibody D) mast cell E) neutrophil A parallelogram has sides measuring 10 and 18, and an angle measuring 100 degrees. What is its area? In the rain forest, the thick foliage allows limited sunlight to filter through to the forest floor. Which wild cat species is best adapted to living in the rain forest? 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It is observed to float, i.e., it reaches equilibrium when part of the cube is below the surface of the water. What is the magnitude of the buoyancy force acting on the cube in N? What percentage of the cube's volume is underwater while in equilibrium? : exchange traded fund that invests in the stocks of large corporations is an example of a) direct investment. b) indirect investment. c) derivative investment. d) tangible investment. explain your answers. A trazadone prescription is written with five refills and filled today. Two weeks later, the patient requests that it be transferred to another pharmacy. How many times may it be transferred? PLEASE I NEED HELP ASAP( ill make you brainliest ) Dalton Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period. Dalton needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade I carpet uses 50 units of synthetic fiber, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade II carpet uses 40 units of synthetic fiber, requires 28 hours of production time, and needs 15 units of foam backing. Each roll of Grade I carpet sells for $1,200 and costs $1,000, and each roll of grade II carpet sells for $910 and costs $750 to produce. In the coming production period. Dalton has 3000 units of synthetic fiber available for use. Workers have been scheduled to provide at least 1600 hours of production time. The company has 1000 units of foam backing available for use. Let your decision variables be: X 1 = Number of rolls of Grade 1 carpet to make X 2 = Number of rolls of Grade II carpet to make a. Formulate an LP problem to determine the highest profit. Write your objective function and the constraints. b. Graph the constraints and show the region of feasible solutions. Determine the optimum solution and give the values of the decision variables as well as the slacks. c. Using Excel's Solver, solve the problem and write the solution values below. Give the maximum profit, values of the decision variables and slacks. d. The selling price of Grade I carpet has gone up to $2,000 per roll. Solve the new problem with solver and provide the new values of the solution. Calculate the required solar array area in m^2 for a spacecraft in cislunar space given an inherent installation loss of 0.81, angle of incidence of 10 degrees, GaAs solar cells, 0.031 degradation per year, 10 year operational lifetime, and a solar array power of 2,760 Watts. Psychology: What is the biological purpose of excitotoxicity and explain why 21. Simplify: (-3)? *(-2)?