Many heterogeneous catalysts are deposited on high-surface area supports. Why?

Answers

Answer 1

Heterogeneous catalysts are often deposited on high-surface area supports because it provides several advantages for catalytic reactions.

The main reason for using high-surface area supports is to maximize the catalyst's active surface area available for the reaction. The support materials, such as porous solids or metal oxides, have a large surface area-to-volume ratio due to their high porosity and fine particle size. This increased surface area allows for more catalytic sites to be present, leading to higher catalytic activity.

The high-surface area supports provide enhanced mass transfer of reactants and products to and from the catalyst. The porous structure allows for efficient diffusion of molecules, ensuring better contact between the reactants and the catalyst, thus improving the reaction kinetics. Moreover, the support materials offer mechanical stability and prevent the aggregation or sintering of the catalyst particles, maintaining their dispersal and stability during the reaction.

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Related Questions

Which object absorbs the most sound waves?
O A. Tissue paper
O B. Air
O C. Earplugs
O D. Water

Answers

Answer:

Earplugs

Explanation:

Because sound waves absorb most sound, the sound is coming from the earplugs which creates the most sound waves rather than water, tissue paper, and air.  Hope i helped :)

Answer:

Earplugs

Explanation:

in what ways does silica percentage affect the behavior of a magma?

Answers

The silica (SiO2) content in magma can affect its behavior in several ways: Viscosity, Explosive Eruptions, Cooling Rate, Composition of Rocks Formed.

Viscosity: Silica content has a significant impact on the viscosity of the magma, which refers to its resistance to flow. Magmas with higher silica content tend to have a higher viscosity, making them more resistant to flow and less likely to erupt.

Explosive Eruptions: Magmas with high silica content tend to be more explosive when they erupt, because the high viscosity prevents the release of trapped gas. When gas finally escapes, it creates a violent explosion.

Cooling Rate: Silica-rich magmas tend to cool more slowly than magmas with low silica content, allowing more time for mineral crystals to grow and form solid rock.

Composition of Rocks Formed: The silica content of magma affects the type of rocks that are formed when it cools and solidifies. Magmas with high silica content tend to form volcanic rocks such as rhyolites and granites, while magmas with low silica content tend to form basaltic rocks.

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Which agricultural practices result in methane emission? Select the two correct answers. a. clearing land for farms b. refrigeration c. manure management techniques d. rice cultivation

Answers

Many agricultural practices involve the emission of greater amounts of methane. The two agricultural practices which result in methane emission is manure management techniques and rice cultivation. The correct options are C and D.

What is methane?

The methane is defined as the simplest hydrocarbon with a chemical formula CH₄. It contains four 'H' atoms and one 'C' atom and it is the simplest alkane.

The main sources of methane emissions from agriculture are enteric fermentation, manure management, rice cultivation and residue burning. The production of methane also occurs animal wastes. Methane emissions occurs from paddy rice when soils are flooded.

Thus the correct options are C and D.

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Ella makes this table to organize her notes on whether atoms gain or lose energy during the changes of state.

A 2-column table with 2 rows. The first row has entries Gain Energy, Lose Energy. The second row has entries nothing, nothing.

Which changes of state should she place in the column titled "Lose Energy"?

freezing, boiling, and melting
melting, vaporization, and sublimation
sublimation, deposition, and condensation
freezing, deposition, and condensation

Answers

Answer:

D

Explanation:

I took the test

Answer:

D took the test

Explanation:

When an unbalanced force acts on an object, the change in the object's _______ or _______ depends on the size and direction of the force.

A.
position; mass
B.
speed; direction
C.
mass; speed
D.
direction; mass

Answers

Answer:

B

Explanation:

The answer is B. Speed and direction

How many mol of lithium are there in 1.204 x 1024 lithium atoms

Answers

Answer:

The answer is

2.0 moles

Explanation:

To find the number of moles of an element given the number of entities contained in that element , we use the formula

\(n = \frac{N}{L} \\\)

where n is the number of moles

N is the number of entities

L is the Avogadro's constant which is

6.02 × 10²³ entities

From the question

N = 1.204 × 10²⁴ lithium atoms

We have

\(n = \frac{1.204 \times {10}^{24} }{6.02 \times {10}^{23} } \\ \)

We have the final answer as

2 moles

Hope this helps you

does anyone know what minerals were in the identifying a mineral project or how to fix this problem?

does anyone know what minerals were in the identifying a mineral project or how to fix this problem?

Answers

Answer: are you in times4learning?

Explanation:

their ideal was to combine individual liberty with material equality, a goal that has not yet been realized and that may be as ------- as transmutation of lead into gold.

Answers

The ideal of combining individual liberty with material equality has not yet been achieved. This goal is as challenging as the transformation of lead into gold. The two concepts appear to be incompatible. The political philosophy that underpins this ideal is liberalism.

This idea arose from the Enlightenment era, and it emphasizes individual liberty, economic freedom, and political rights. Liberalism advocates that the government should have a limited role in economic and social affairs. It is a political idea that has received a lot of criticism over the years. Critics of liberalism argue that this ideal has failed to promote economic growth and reduce inequality.

They point out that it has led to a concentration of wealth among a small elite, resulting in an unequal distribution of resources. Nonetheless, liberalism continues to be a popular political philosophy, and many countries embrace it. However, it remains a challenge to combine individual liberty and material equality, given their conflicting nature. To achieve this goal, societies must strive to find the right balance between individual freedom and collective well-being.

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Which of the following materials contains a base?

a. Stomach digestive juices
b. Orange juice
c. Ammonia window cleaner
d. Vinegar

Answers

Answer:

c. ammonia window cleaner

Explanation:

Window cleaners contain ammonia (a base) for the purpose of removing the dust and grease on the windows.

digestive juices, orange(a citrus) juice, and vinegar are all highly acidic.

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Calculate the pH and the pOH of an aqueous solution that is 0.045 M in HCl(aq) and 0.095 M in HBr(aq) at 25 °C. pH = pОН: =

Answers

The pH and the pOH of an aqueous solution that is 0.045 M in HCl(aq) and 0.095 M in HBr(aq) at 25 °C is 1.35, and 12.98 respectively.

To calculate the pH and pOH of the solution, we need to use the concentration of the acidic solutions and the dissociation constants of HCl and HBr.

First, calculate the pH:

For HCl (aq):

[HCl] = 0.045 M

HCl is a strong acid and dissociates completely in water, so the concentration of H⁺ ions is equal to the concentration of HCl:

[H⁺] = 0.045 M

Taking the negative logarithm (base 10) of the H⁺ concentration gives us the pH:

pH = -log10(0.045)

pH = 1.35

Now, let's calculate the pOH:

For HBr(aq):

[HBr] = 0.095 M

HBr is also a strong acid, and its dissociation is similar to HCl. The concentration of H⁺ ions is equal to the concentration of HBr:

[H⁺] = 0.095 M

Again, taking the negative logarithm (base 10) of the H⁺ concentration gives us the pH:

pH = -log10(0.095)

pH = 1.02

Since pH + pOH = 14 (at 25 °C), we can calculate the pOH:

pOH = 14 - pH

pOH = 14 - 1.02

pOH = 12.98

Therefore, the pH of the solution is approximately 1.35, and the pOH is approximately 12.98.

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i only need help with the ones i didnt fill out I FILLED OUT MOST OF THEM plz help em i need this done as soon as possible

i only need help with the ones i didnt fill out I FILLED OUT MOST OF THEM plz help em i need this done

Answers

Answer:

The atomic number and the number of protons are the same so I am only going to list the atomic number. In order from top to bottom.

1

1

11

22

47

9

2

31

31

draw resonance structures of 4-tert-butylphenol that show which aromatic carbons have high electron density and explain why you obtained your product in this experiment.

Answers

The resonance structures of 4-tert-butylphenol can be drawn as shown below:

   H                H

   |                |

H-C--C--C--C-O-H    H-C--C--C--C-O-

   |                |     |

   H                H     H
In these resonance structures, the aromatic carbons that have high electron density are the ones that are directly attached to the oxygen atom of the hydroxyl group (marked with a red circle in the image). This is because the oxygen atom is highly electronegative and therefore attracts electrons towards itself, increasing the electron density at these aromatic carbons.
The reason why we obtain this product in the experiment is due to the resonance stabilization of the molecule. Resonance structures allow for the delocalization of electrons, which in turn stabilizes the molecule and lowers its energy. This makes the molecule more stable and therefore more likely to be formed as a product in the experiment.

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Consider the following system at equilibrium where Kc = 77.5 and AH° = -108 kJ/mol at 600 K. CO (g) + Cl2 (g) → COCl2 (g) The production of COCl2 (g) is favored by: Indicate True (T) or False (F) for each of the following: 1. increasing the temperature. 2. increasing the pressure (by changing the volume). 3. increasing the volume.
4. removing COCl2 .
5. adding Cl2 .

Answers

The answer of the following system at equilibrium is as follows, 1. False, 2. True. 3. False, 4. True, 5. True.

1. False (F): Since the reaction is exothermic (ΔH° = -108 kJ/mol), increasing the temperature will favor the reverse reaction, not the production of COCl2. According to Le Chatelier's principle, adding heat to an exothermic reaction will shift the equilibrium towards the reactants, thus decreasing the amount of COCl2.

2. True (T): Increasing the pressure (by decreasing the volume) will favor the side with fewer moles of gas. In this reaction, there are 2 moles of gas on the reactant side and 1 mole of gas on the product side. Therefore, increasing the pressure will favor the production of COCl2.

3. False (F): Increasing the volume will lower the pressure, favoring the side with more moles of gas. In this case, it will shift the equilibrium towards the reactants (CO and Cl2), thus not favoring the production of COCl2.

4. True (T): Removing COCl2 from the system will shift the equilibrium to the right, favoring its production. According to Le Chatelier's principle, when a product is removed from the system, the equilibrium will adjust to replace the lost product.

5. True (T): Adding Cl2 to the system will shift the equilibrium to the right, favoring the production of COCl2. According to Le Chatelier's principle, when a reactant is added to the system, the equilibrium will adjust to consume the added reactant, thus increasing the amount of product formed.

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where in the air-conditioning system is the refrigerant a low-pressure gas

Answers

In an air-conditioning system, the refrigerant undergoes a cycle of evaporation and condensation to cool the air. The refrigerant starts as a low-pressure gas in the evaporator coil, where it absorbs heat from the surrounding air and evaporates into a low-pressure gas. This evaporation process cools the air as well. The evaporator coil plays a crucial role in this system by facilitating the evaporation of the refrigerant and cooling the air.

On the other hand, the refrigerant transitions from a high-pressure gas to a high-pressure liquid in the condenser. The condenser is responsible for releasing the heat absorbed by the refrigerant in the evaporator to the surrounding air. As the refrigerant condenses into a high-pressure liquid, it releases heat, allowing it to transfer the heat from the inside of a building to the outside.

This cycle of evaporation in the evaporator and condensation in the condenser enables the refrigerant to remove heat from the indoor space and release it outside. By continuously circulating the refrigerant and repeating this process, an air-conditioning system can cool the air inside a building and maintain a comfortable temperature.

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The leaves of African violets develop roots and form new
plants when they are placed in water or moist soil. Any leaf
'on the African violet plant shown can produce a new
African violet plant.
Which two terms best describe this kind of reproduction?
O A. Sexual reproduction
B. Vascular reproduction
O O O O
C. Vegetative reproduction
D. Asexual reproduction
Help pls

The leaves of African violets develop roots and form newplants when they are placed in water or moist

Answers

Answer:

vegetative reproduction and asexual reproduction

Explanation:

Answer:

Asexual and vegetation reproduction

Explanation:

Which of the following has the LONGEST wavelength
A.) a lion growling at a frequency of 85 Hz
B.) a bass guitar playing a note at a frequency of 150 Hz
C.) a man speaking at a frequency of 520 Hz
D.) an opera singer singing at a frequency of 2100 Hz

Answers

Answer:

D.) an opera singer singing at a frequency of 2100 Hz

Explanation:

Wavelength is inversely proportional to frequency.

The one having the LONGEST wavelength is  a lion growling at a frequency of 85 Hz and the correct option is option A.

What is Electromagnetic scale?

The electromagnetic spectrum is a range of frequencies corresponding to wavelengths which are a few kilometres to a fraction of the size of an atomic nucleus in the spectrum of electromagnetic waves.

As a wave, light has several basic properties that describe it. One is frequency, which counts the number of waves that pass by a given point in one second.

Another is wavelength, the distance from the peak of one wave to the peak of the next. These properties are closely and inversely related: The larger the frequency, the smaller the wavelength — and vice versa.

A third is energy, which is similar to frequency in that the higher the frequency of the light wave, the more energy it carries.

Therefore, The one having the LONGEST wavelength is  a lion growling at a frequency of 85 Hz and the correct option is option A.

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What makes an atom stable?
a. Having the nucleus in the center
b. Being very small
c. Being neutral
d. Having the right number of protons and neutrons

Answers

D

Explanation:
An atom is stable if the forces among the particles that makeup the nucleus are balanced. An atom is unstable (radioactive) if these forces are unbalanced; if the nucleus has an excess of internal energy. Instability of an atom's nucleus may result from an excess of either neutrons or protons.

A rectangular box has a length of 12 cm, a width of 20 cm, and
a height of 5 cm. What is the volume of the box in ml?
a 1200 mL
b 160 mL
C 300 mL
d 37 mL

Answers

Answer: a. 1,200 mL

Explanation:

20 x 12 x 5 = 1,200

(L x W x H)

how many electrons does Co2- have?

Answers

There are 6 electrons for Co2-

Answer:

Explanation:

6 electrons

carbon dioxide, C has atomic number 6 so it has 6 electrons and oxygen has atomic no 8, i.e 16 electrons.

How can you calculate the instantaneous rate of a reaction from a graph of concentrations over time?

Answers

by calculating the negative of the slope of the curve of concentration of a reactant versus time at time t.
by calculating the slope of the curve of concentration of a product versus time at time t.

Which best sequences the organization of the Universe from LARGEST to SMALLEST? *

Asteroids, Moons, Planets, Stars, Star Systems, Galaxies, Galaxy Clusters, Universe

Galaxy Clusters, Galaxies, Stars, Planets, Moons, Comets

Universe, Stars, Planets, Asteroids

Universe, Galaxies Clusters, Galaxies, Star Systems, Stars, Planets, Moons, Asteroids

Answers

Universe, Stars, Planets, Asteroids

Answer:

Universe, Stars, Planets, Asteroids

Explanation:

Directions: Write the balanced equation for each of the following situations. . In addition, list the reaction type. YOU MUST TELL THE AMOUNTS OF EVERY SUBSTANCE THAT REMAINS IN THE CONTAINER AT THE END OF THE REACTION. ASSUME THAT ALL REACTIONS GO TO COMPLETION. If only STOICHIOMETRY, tell how much of the excess reactant is used!!!! Reaction Type a. Combination Reaction b. Decomposition Reaction c. Single Displacement / THIS IS ONE TYPE OF Oxidation Reduction Reaction d. Precipitation Reaction e. Gaseous Reaction f. Neutralization Reaction g. Combustion Reaction 5. 2.11 mg of hydrogen peroxide decomposes in the presence of manganese dioxide to form water and oxygen 5. Balanced Chemical Equation Reaction Type:At the completion of reactions: Grams of hydrogen peroxide: Grams of water: Grams of oxygen gas:

Answers

First, let's write the balanced chemical reaction:

2 H2O2 ---MnO2--> 2 H2O + O2

This reaction is a b. Decomposition Reaction of hydrogen peroxide.

Step 1. Let's transform 2.11 mg of H2O2 into moles using the following equation mole = mass / molar mass

Step 2. We are going to use the equation proportion to calculate the quantity in moles of each compound.

Step 3. We are going to transform moles into grams of each compound using the following equation: mass = mole x molar mass

Step 1.

We need to transform 2.11 mg to g. We just need to divide by 1000,

So: 2.11 x 10^-3 g of H2O

mole = 2.11 x 10^-3/34.02

mole = 6.20 x 10^-5 moles

Step 2.

2 moles of H2O2 ---- 2 moles of H2O

6.20 x 10^-5 moles ---- x moles of H2O

x = 6.20 x 10^-5 moles of H2O

2 moles of H2O2 ---- 1 moles of O2

6.20 x 10^-5 moles ---- x moles of O2

x = 3.10 x 10^-5 moles of O2

Step 3.

molar mass of O2 : 32 g/mol

molar mass of H2O: 18 g/mol

mass of H2O = 6.20 x 10^-5 x 18 = 1.12 x 10^-3 g

mass of O2 = 3.10 x 10^-5 x 32 = 9.92 x 10^-4 g

Directions: Write the balanced equation for each of the following situations. . In addition, list the

I will give you Brainly if you awser correct if your gonna awser for points pl put I don’t know

I will give you Brainly if you awser correct if your gonna awser for points pl put I dont know

Answers

Answer:

C

Explanation:

The answer is B. Trinitrogen Pentaoxide

What is a total eclipse?
A) When the Sun partially blocks out
the moon.
B) When the moon partially blocks
out the Sun.
C) When the moon blocks out the
Sun entirely.
D) When the Sun blocks out the
moon entirely.

Answers

Answer :-

B ) When the moon partially blocks out the Sun

Explanation :-

when the New Moon comes between the Sun and Earth and casts the darkest part of its shadow, the umbra, on EarthIn a partial solar eclipse, the Sun is partly covered when the Moon passes in front of it .

Hope it helps ~

a. Calculate the expected freezing-point
depression of a 0.200 m KNO3 solution.

b. Will the value you calculated match the actual
freezing-point depression for this solution?
Why or why not

Answers

a. The expected freezing-point depression of the  0.200 m KNO₃ solution is   - 744° C.

b. The expected freezing-point depression is not gonna match the actual freezing-point depression.

What is meant by freezing-point depression?

A smaller amount of different, non-volatile material is added, causing a decrease in the lowest temperature at which a substance freezes. This is known as freezing-point depression. As the concentration of the solute in the solution changes, so does the solvent's freezing point. The molar concentration of the solute is directly proportional to the difference in the solvent's freezing point from that of the pure solvent.

a. Given:

delta T = i × \(K_{f}\) ×m

i = van't Hoff factor, which for KNO₃ is 2.

Δ \(T_{f}\)  = -1.86 ×.2× .2

= - 744° C

b. The value calculated will not match the actual freezing-point depression for this solution because the concentration of an electrolyte is lower, so this concentration, the clustering of ions will hence cause actual (f.p) depression to be less than expected.

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how can teh human body looose heat? (conduction, convecion, radiation) and WHY

Answers

Answer:

Radiation and conduction

Explanation:

The human body lose heat by these two ways, because everything that touches our bodies and is in a temperature below us will receive part of our heat (conduction), and you can figure out that we lose heat by radiation because a human bright in a heat cam

10 facts about “molecules”

Answers

Answer:

Explanation:

A perfect diamond is a single molecule made of carbon atoms.

DNA is a super long molecule that has information uniquely describing every human being.

When two or more atoms chemically bond together, they form a molecule.

They are very small in size.

They have space between them.

They are in constant random motion.

molecules move when Particles move rapidly in all directions but collide with each other more frequently than in gases due to shorter distances between particles.

In 1926, French physicist Jean Perrin received the Nobel Prize in physics for proving, conclusively, the existence of molecules.

Molecules can exist in free state because they are very stable.

The smallest particle of a compound capable of existing on its own is a Molecule-not a atom.

How many grams are there in 2.8 * 10 ^ 24 molecules of Li 2 O?

Answers

First, we must know Avogadro's number:

1 mol of any substance = 6.02x10^23 formula units (ions, atoms, molecules, etc)

Also, we can say this:

1 mol of Li2O = its mass expressed in grams

(from Li2O molar mass = 30 g/mol approx.)

Now,

1 mol Li2O = 30 g = 6.02x10^23 molecules Li2O

30 g Li2O ----------- 6.02x10^23 molecules Li2O

x ----------- 2.8x10^24 molecules Li2O

x = 140 g approximately

Answer: 140 g

1. What should you expect when looking at a 1H NMR spectrum of a mixture of compounds?
A. The integrations for peaks will likely look "off" with respect to one another
B. All peaks will be broader and more upfield
C. Splitting will be doubled (singlets will become doublets, doublets will become quartets, etc)
D. Integrations for all peaks will double

Answers

A. The integrations for peaks will likely look "off" with respect to one another., is the correct option.

What is NMR spectra?

NMR spectroscopy (NMR spectra) is a analytical tool used in chemistry and biochemistry to determine the structure and composition of a molecule by measuring the magnetic properties of its nucleus. NMR spectra provide information about the number of different types of atoms in a molecule, the environment of these atoms, and the distances and angles between them. This information is then used to generate a detailed picture of the molecule's structure and how it is bonding to other molecules.

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when does flaxseed need to be picked to be used in polyjuice potion

Answers

Flaxseeds are used in polyjuice potion in the Harry Potter series.

Flaxseed needs to be picked before the sun rises to be used in Polyjuice potion.

Polyjuice Potion is a potion that allows the drinker to assume the form of someone else.

It is one of the most complicated and powerful potions that witches and wizards can brew.

In the second book, Harry Potter and the Chamber of Secrets, Harry, Ron, and Hermione use Polyjuice Potion to disguise themselves as Crabbe, Goyle, and Millicent Bulstrode to interrogate Draco Malfoy to learn his secret.

There are seven stages in the Polyjuice Potion brewing process, which requires flaxseed as one of its ingredients.

The instructions on when to pick flaxseed to be used in Polyjuice potion is not stated in the book.

However, Hermione Granger, one of the main characters in the series, was shown picking Flaxseed in the second book before the sun rose.

The fact that Hermione was picking flaxseed before sunrise indicates that flaxseed should be picked before sunrise to be used in Polyjuice Potion.

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Other Questions
Lisa used 6 2/3 feet of rope to make a jump rope. She also used 4 1/5 feet of rope to make a leash for her dog. Which expression could be used to determine the amount of rope, in feet, that lisa used? (A) 10+2 /15 (B) 10+3/8 (C) 6+4+10/15+3/15 (D) 6+4+3/15+3/15 Next topic is a tupac next mouth to the stomach heartburn occur when is the stomach juices flow backwards update esophagus to help retrieve heartburn a person should take medication that is a neutral b acidic or basic c acidic d basic suppose jack can produce a rainbow engagement ring that consists of 2 diamonds, 2 sapphire, 2 rubies, and 150 grains of gold.what is the minimum selling price at which this new ring would have to be priced in order for it to be included in the optimal product mix? pls help reall need it I need complete workings to be shown. Also, show the working of depreciation.CellU, a subsidiary of CompU, is looking to replace one of the machines they use to manufacture cell phones with a new, more efficient model. The installed cost of the new machine less what they can sell the old machine for is $12,190. The current machine cost $7,500, is three years old, and is depreciated using the MACRS 3-year recovery period (33%, 45%, 15%, 7%). The expected life of the new machine is 3 years, is depreciated using the MACRS 3-year recovery period, and will reduce annual labor expenses from $10,000 to $4,000. The firm has a marginal tax rate of 40 percent.a. Calculate the annual incremental operating cash flows for the new machine Identify the key features of the function f(x) =bx for b=2 and b=1/2 Which of these shows the correct order of the parts of a five paragraph essayintroduction, conclusion, three body paragraphsBthree body paragraphs, introduction, conclusionCintroduction, three body paragraphs, conclusionDconclusion, three body paragraphs, introduction Question 1 of 20Which of the following statements is true with regard to who HIPAA covers? Identify the different types of RNA and sections of RNA.all answers will be usedmessenger RNAribosomal RNAtransfer RNAintronsexonsdouble-stranded RNAcodonsanticodonsCarries copies of the instructions for assembling proteins:Makes up the subunits of ribosomes.Carries amino acids and matches them to the coded message for assembling proteins:Sections of an mRNA molecule that are removedSections of an mRNA molecule that are not removed, and are joined together to form the completed molecule: help i ready sucks i have to have 2 lessons How are physical descriptions and physical properties similar? what happens to excess fatty acids and glycerol in the body ANEXO 9. Modelo de Toulmin. Analiza el siguiente argumento y llena el cuadro con lo que se indica, situando cada seccin dondecorresponden de manera correcta, los componentes del siguiente argumento"Cinco mil mujeres entrevistadas atrededor del mundo seratan haber tenido remordimientos despus de abortar. Por lotanteprobablemente, todas las mujeres que abortan tienen remordimiento despus de esta accin". Problema o preguntaRazones premisesRespostasconclusionExpresiones indicadoresGarantiaRespaldoReservaModializador QuestionFelicia has a garden in the shape of a parallelogram as shown.What is the area of her garden? The math club at a middle school increased from 62 students to 78 in one school year. What is the approximate percent of increase? Help please thank you Which of these statements accurately describes Joseph Stalin? Choose two answersHe was less brutal than previous Russian leaders.He overthrew Lenin to become leader of the USSR.He cut steel production to improve the economy.He restricted citizens personal rights and freedoms.He held absolute power as a totalitarian dictator. _____ is the efficient management of the acquisition of raw materials to the factory and the movement of products from the producer to industrial users and consumers. A ball falls from rest from a height of 7.5 m above the ground level. How much time does the ball take to reach the ground?. Consider g = 9.81 m/s.2.47 s0.62 s1.24 s0.87 s 7years ago8% per year12,000 deposit on todayPresent Value of an Investment Jada deposited an amount of money in a bank 7 years ago. If the bank had been paying interest at the rate of w/year compounded daily assume a 365 day year) and she has $