A biochemical reaction at constant temperature and pressure in a cellular environment is at equilibrium when the absolute temperature is equal to which of the following?
a. 0
b. -(ΔH)(ΔS)
c. -RT log Keq
d. ΔH/ΔS

Answers

Answer 1

c) At constant temperature and pressure, in a cellular environment, a biochemical reaction is at equilibrium when the absolute temperature is equal to -RT log Keq.

A biochemical reaction at equilibrium is a state in which the rate of the forward reaction is equal to the rate of the reverse reaction. At this point, the concentrations of the reactants and products remain constant.

The equilibrium constant, Keq, is a measure of the relative concentrations of reactants and products at equilibrium. It is given by the equation:

Keq = [products]^c / [reactants]^a

The negative natural logarithm of the equilibrium constant, -ln(Keq) is known as the Gibbs free energy change, ΔG.

At constant temperature and pressure, the Gibbs free energy change is related to the enthalpy change, ΔH, and entropy change, ΔS, by the following equation: ΔG = ΔH - TΔS

The above equation can be further simplified by using the ideal gas law and the universal gas constant R.

ΔG = -RT ln(Keq)

So, at constant temperature and pressure, in a cellular environment, a biochemical reaction is at equilibrium when the absolute temperature is equal to -RT log Keq.

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Related Questions

the reaction of 2,2-dimethyl-1-propanol, also known by the common name neopentyl alcohol with hbr gives 2-bromo-2-methylbutane as the major product. giving the structures of the reactant and the product of the reaction, show mechanistic explanation for the product of the reaction.

Answers

The reaction of 2,2-dimethyl-1-propanol, also known as the neopentyl alcohol with HBr gives 2-bromo-2-methylbutane as the major product. It is a SN₁-mechanism.

Neopentyl alcohol is a primary alcohol, but the bulky group has hindered it. The backside attack is not possible, so instead of the SN₂ mechanism SN₁ followed to get the desired rearranged product. The reaction will forms a rearranged stable carbocation from the primary carbocation to the tertiary carbocation.

Protonation of the Neopentyl alcohol will converts the hydroxy group into a good leaving group. Water will leaves form a primary carbocation rearranged through the methyl shift, which is thus forming a stable tertiary carbocation. Bromide ion will also attacks the carbocation to form a product 2-bromo-2-methylbutane. Mechanism will showing the formation of 2-bromo-2-methylbutane.

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which of the following statement is false? which of the following statement is false? water is the most abundant atom. water is essential for life. water is polar. water stabilizes temperature.

Answers

Water is the most abundant atom is a false statement.

Water molecule is composed of two hydrogen atoms and one oxygen atom. Water is necessary for the survival of living organisms. Water is polar because the oxygen atom in water has a higher electronegativity than the hydrogen atoms, resulting in a partial negative charge on the oxygen atom and partial positive charges on the hydrogen atoms.

Water stabilizes temperature because it has a high heat capacity, meaning it can absorb or release a large amount of heat without experiencing a significant change in temperature. This allows it to act as a temperature buffer, helping to maintain a relatively stable temperature in living organisms and in the environment.

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The a of a monoprotic weak acid is 0.00839. What is the percent ionization of a 0.199 M solution of this acid?

Answers

The percent ionization of the acid is obtained as 21%.

What is the percent ionization?

We know that a weak acid is said to be the kind of acid that is not able to ionize completely in solution. The implication of this is that we are still going to have some of the acid that have not be ionized in the system at the end of the reaction.

We know that;

α = √Ka/Co

α = Percent ionization

Ka = acid dissociation constant

Co = Initial concentration

Hence, we have;

α = √0.00839/0.199

= 0.21 or 21%

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how many moles are in 977 grams of HgSO4

Answers

There are 3 moles of HgSO4 in 977 grams of HgSO4.

To calculate this, we need to use the molar mass of HgSO4.

Molar mass of HgSO4 = 271.5 g/mol

hence, 977 g / 271.5 g/mol = 3.6 moles of HgSO4.

What is molar mass?

Molar mass is a physical property of a substance and is measured in grams per mole (g/mol). It is the mass of one mole of a substance and is equal to the sum of the relative atomic masses of all the atoms in a molecule. Molar mass is important in chemistry and is used to calculate the mass of a given number of moles in a substance or solution. It is also used to calculate the mass of a given volume of a substance, such as when calculating the molarity of a solution. Knowing the molar mass of a substance is useful for many calculations, like determining the number of moles in a given mass, or the mass of a given number of moles.

Therefore, There are 3 moles of HgSO4 in 977 grams of HgSO4.

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12. Emission of light from an atom occurs when an electron
falls into the nucleus
A. Falls into the nucleus
B.Jumps from a lower to a higher energy level
C. Drops from a higher to a lower
energy level
D. Moves within it's atomic orbital

Answers

Emission of light from an atom occurs when an electron drops from a higher to a lower energy level and is therefore denoted as option C.

What is an Electron?

This is referred to as a stable subatomic particle with a charge of negative electricity and it is actively involved in the chemical reactions which occurs to produce new substances.

The electron absorbs the energy and jumps to a higher energy level. In the reverse process, emission, the electron returns to the ground state by releasing the extra energy it absorbed which is therefore the reason why option C was chosen as the correct choice in this scenario.

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28. You mix 500 mls of 7.5% Travasol and 500 mls of 60% dextrose
solution and 300 mls of Sterile Water for Injection. What are the
percentage strengths of the Travasol and dextrose in the mixed
solution?

This is pharmacy math.

Answers

Prior to administration, Dextrose Injection must be diluted with other compatible intravenous fluids or used as an admixture with amino acids.

What does 5% dextrose and water do?

Dehydration, insulin shock, and low blood sugar (hypoglycemia) are all treated with 5% dextrose in water (fluid loss). For individuals who are unable to eat due to illness, accident, or another medical condition, dextrose 5% in water is also administered.

A sterile fluid called dextrose injection is used to give your body more water and carbohydrates (calories from sugar). When a patient is unable to consume enough fluids or when more fluids are required, it is used. For intravenous infusion as a source of carbohydrates, the treatment of insulin hypoglycemia, and other disorders, people utilise dextrose saline infusion.

It functions by raising blood glucose levels in hypoglycemic patients and offering a source of carbohydrate calories when necessary.

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The air pressure inside a submarine is 0.62 atm. What would be the height of a column of mercury balanced by this pressure?

Answers

The height of a column of mercury balanced by 0.62 atm pressure is 471.2 mmHg.

What is pressure ?

Pressure is defined as the force applied perpendicular to an object's surface per unit area over which that force is distributed. Gauge pressure is the pressure in relation to the surrounding atmosphere. Pressure is expressed using a variety of units.

The standard air pressure in a mercury-containing vessel keeps the mercury level grown up to 760 mm higher

It is relatively similar to the force from the weight of that column in the vessel.

Given:

0.62 atm air pressure  - inside a submarine,

mercury level at 1 atm = 760 mmHg

The height of the column of mercury balanced by this pressure is as follows:  

= 0.62 × 760 mmHg

= 471.2 mmHg

Thus, the height of a column of mercury balanced by 0.62 atm pressure - 471.2 mmHg

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a layer of mineral oil is poured on top of a layer of ethylene glycol and a piece from a board game is placed at rest with its midpoint in line with the boundary between the two layers, as shown. the piece remains at rest because the density of the sphere is greater than the density of mineral oil and less than the density of ethylene glycol. earth, the mineral oil, and the ethylene glycol exert forces on the piece with magnitudes fearth , fmineraloil , and fethyleneglycol , respectively. which of the following, where the dot represents the piece, correctly identifies the direction and relative magnitude of these forces?

Answers

The earth's force would be applied to the object (the earth) in a downward direction, toward the planet's centre. The force that the mineral oil would apply to the object (fmineraloil) would be directed

Mineral oil is a liquid that is produced from petroleum and is transparent, colourless, and odourless. It frequently appears in a wide range of consumer and industrial goods, including lubricants, fuels, cosmetics, and personal care products. Mineral oil functions as a moisturiser and occlusive agent in cosmetics and personal care products, helping to stop water loss from the skin. In several applications for food processing, it is also utilised as a lubricant. Despite its extensive use, certain questions have been raised regarding mineral oil's possible negative effects on health, particularly when it is used in cosmetics and personal care items. According to certain research, regular use of products containing mineral oil may cause skin irritation and blocked pores. But there is conflicting da

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identify the product of the following reaction: H2CO3-H2O+CO2

Answers

The product of the given chemical reaction H₂CO₃ ---> H₂O + CO₂ is H₂O and CO₂.

What is a chemical reaction?

A chemical reaction takes place when two or more molecules meet in the proper direction and with enough force to create a new product.

In a chemical reaction, the molecules that collide to form a new substance are known as reactants.

The molecules that are formed as a result of the collision of the reactants are called products.

Considering the given equation of reaction:

H₂CO₃ ---> H₂O + CO₂

The molecules of H₂CO₃ collide to produce the new substances, H₂O + CO₂.

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MS-PS1-6: While working in the chemistry lab, you dissolve 2.5g of sodium
hydroxide chips into a beaker containing 50mL of water. As you pick up the beaker
to add it to a separate solution, you notice the outside of the beaker is very warm.
What explains this rise in temperature?
4

Answers

50mL of water and 2.5g of sodium hydroxide chips should be dissolved together in a beaker. Because to the increase in temperature Solid sodium hydroxide dissolves in water in an exothermic reaction reaction that releases a significant quantity of heat.

Explain the reaction of sodium hydroxide with water?

Whenever sodium hydroxide (NaOH) reacts with water, sodium ions (cations) with a positive charge and hydroxide ions with a negative charge separate out (anions).

Although cations and anions typically surround cations more tightly and vice versa, these ions move freely and independently of one another in the water.

NaOH easily absorbs moisture as well as carbon dioxide through the air because to its high water solubility.Solid sodium hydroxide dissolves in water in an extremely exothermic reaction that releases a significant quantity of heat.The following response is being thought about:

         NaOH(s) + H2O(l) => Na+ + OH- + H20 + HEAT

This is the sodium hydroxide dissolving in water, not a reaction. You must ascertain the solvation's enthalpy, Hsol. Due to the exothermic nature of the process, this is bad.You must be aware that Na+ and OH- interact ionically.

Since, you've solubilized NaOH, the Na+ cations and OH- ions have strong interactions with the oxygen and hydrogen atoms in the water. This is a substance's disintegration.

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Ketamine sometimes used as an adjuvant to general anesthesia, is available as a 10.0%(w/v) solution. Calculate the mass of ketamine in 2.50 ml of this solution.

Answers

Answer:

0.25 grams

Explanation:

mass = (concentration x volume) / 100

The concentration of ketamine is 10.0%w/v and the volume is 2.50 ml.

mass = (10 x 2.50) / 100

mass = 0.25 g

So, there is 0.25 grams of ketamine in 2.50 ml of a 10.0% (w/v) solution.

calculate the volume of sulfur hexafluoride gas that is collected. you can assume the pressure in the room is exactly 1atm. round your answer to 3 significant digits.

Answers

Mols or Temprature was not given so I assumed 70f room and temp.

We know that P = 1 atm, n = number of moles, R = 8.314 J/mol*K and T = (70 + 459.67)*5/9 = 527.67K (converting the temperature from Farrenheight to Kelvin)

so, V = (nRT)/P

Therefore, we need the moles of sulfur hexafluoride gas to calculate the volume. Without the moles of the gas, it is impossible to determine the volume of the gas.

Sharla finds a container labeled tungsten. She removes the metal and weighs it and determines the mass is 377.64 grams of tungsten. How many moles of
TuneSten did she one?

Answers

Sharla finds a container labeled tungsten and Sharla found 2.05 moles of tungsten in the container.

What is moles of a substance?

Mole is the amount of substance of a system that contains as many elementary entities as there are atoms in 0.012 kilogram of carbon 12 and its symbol is “mol”. One mole of substance is equal to the value of 6.023 x 10^23 (Avogadro's number). It can be used to measure the products obtained from chemical reaction.

As, number of moles is mass / molar mass

so, molar mass of tungsten is 183.84 g/mol.

the number of moles of tungsten that Sharla found would be:

number of moles = 377.64 g / 183.84 g/mol = 2.05 mol

Therefore, Sharla found 2.05 moles of tungsten in the container.

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The release of which substance is represented by the arrows?

Answers

The arrows depict the substance's carbon dioxide emission.

By substance, what do you mean?

A substance is a material that has specific qualities and a specific composition. A substance is any unadulterated element or pure composite. By using any physical technique, a substance cannot be separated. A pure substance has fixed properties/composition. Iron and sugar are two examples of substances.

An illustration of a material

Matter with a definite composition and set of characteristics is referred to as a substance. A substance is every pure element. It is a material when it is pure. Substance examples: Because iron is an element, it is also a substance. Methane is both a material and a compound.

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Explain how to use molecular shapes to predict molecular polarity

Answers

An molecule is polar if the lengths of the arrows differ and they not balance each other.

What is the straightforward meaning of a molecule?

Pay close attention to the sound. the smallest part of a molecular that includes both its physical and chemical properties pronounced (MAH-leh-kyool). Molecules are made up of one or more electrons.

Water: A Molecular or Not?

Molecules are created when atoms come together. Two hydro (H) ions and one oxygenation (O) atom make up the three atoms that make up a water molecule. Because of this, water is occasionally abbreviated as H2O. There are trillions of water molecules in a single drop of liquid.

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Which of the following represents the overall chemical equation for the reaction and the rate law for elementary step 2

Answers

H2(g) + 2ICI(g) = 2HCI(g) + I2(g) is the overall reaction  Step 2's rate law is rate = k [HI][ICI]

It is critical to consider not only the chemical properties of the reactants, but also the conditions under which the reaction occurs, the mechanism by which it happens, the rate at which it occurs, and the equilibrium toward which it is progressing in a chemical reaction. The substances that influence the reaction rate are usually one or more of the reactant's side, but products can also be included. Catalysts, which are not included in the balanced chemical equation, can also influence the reaction rate.

For a chemical reaction, the rate law (also known as the rate equation) is an expression that describes the relationship between the rate of the response and the concentrations of the reactants involved.

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The complete question is:

Step 1:

H2(g) + ICl(g) ----------- HI(g) + HCI(g) (slow)

Step 2:

HI(g) + ICI(g) ------------ HCI(g) + I2 (g) (fast)

Which of the following represents the overall chemical equation for the reaction and the rate law for elementary step 2?

A) The overall reaction is H2(g) + 2 ICI(g) --------- HCI(g) + I2(g); the rate law for step 2 is rate = k[H2] [HI] [ICI]

B) The overall reaction is H2(g) + 2 ICI(g) -------- 2 HCI(g) + I2(g); the rate law for step 2 is rate = K[H2][ICI]2.

C) The overall reaction is Ha(g) + ICI(g) --------- HCI(g) + 1(g); the rate law for step 2 is rate = K-[H2][ICI].

D) The overall reaction is H2(g) + 2 ICI(g) ------- 2 HCI(g) + I2 (g); the rate law for step 2 is rate = [K][HI] [ICI]

Heating Curve Question. I tried to be very deliberate solving this problem, but none of my answers - +50, -50, +49.6, etc. - were accpeted and I've just been stuck on this question for a few days. Any help is appreciated, thanks : )

Answers

Answer:

It sounds like the writer's experiences of scouting have had a profound impact on his life. He values the connection with nature and the skills he learnt, as well as the importance of preserving the environment for future generations. He also mentions the words and phrases associated with scouting, which he says can act as a reminder of the experience and the joy he felt during his time in the Scouts. It's clear that the writer values the experiences of scouting and has a strong appreciation for the outdoors.

In the context of a drug misuse, match the types of chemicals (in the left column) with the corresponding definitions of misuse (in the right column)

Answers

As in the context of drug misuse, the following chemical types are linked to their corresponding definitions of misuse:

"Prescription drugs" should be matched with "use of drugs in greater amounts than, or for purposes other than, those prescribed by a physician or dentist." "Nonprescription drugs or chemicals" should be matched with "any use other than the use intended by the manufacturers of those chemicals."

Drug misuse refers to the incorrect or harmful use of a substance, including prescription and over-the-counter drugs, as well as illegal drugs. This can include taking a higher dose than prescribed, using someone else's medication, using a drug for non-medical purposes, or combining drugs in a way that is dangerous. Drug misuse can lead to negative health consequences and may also contribute to the development of a substance use disorder.

Prescription drugs (not in the context of misuse) are medications that are prescribed by a healthcare professional and are intended for use in the treatment of a specific medical condition.

Nonprescription drugs, also known as over-the-counter (OTC) drugs, (not in the context of misuse) are substances that are available for purchase without a prescription. They are used to treat common health issues, such as pain or a headache, but can also be abused. Chemicals refer to any substance, whether natural or man-made, that can be used for a specific purpose, including but not limited to drugs.

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Guys I need your help!! it's due tomorrow! I would be very grateful if you could help me!

Answers

The reaction's chemically balanced equation is as follows:3CCl4 + 3N2 + 6H2 = 3CH4 + 3 N2Cl4

What is a balanced chemical equation?

The reaction's chemically balanced equation is as follows:

3CCl4 + 3N2 + 6H2 = 3CH4 + 3 N2Cl4

A chemical reaction that has the same number of moles in the reactant and product sides is said to have a balanced chemical equation.

The missing image, which is included below, shows what the picture represents:

The side that reacts:

Three molecules each of CH4 and N2Cl4

The component side:

6 molecules of H2, 3 molecules each of CCl4, N2, and 3.

Consequently, the following is the reaction's balanced chemical equation:

3CCl4 + 3N2 + 6H2 = 3CH4 + 3 N2Cl4

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question mode multiple choice question which one of the following irreversibilities describes the force that opposes the relative motion between two bodies in contact with one another? multiple choice question. friction heat transfer chemical reactions mixing of two fluids

Answers

The force that resists the relative motion of two bodies is referred to as irreversibility. Examples of this include chemical reactions, mixing two fluids, and electrical resistance.

Why do we use the term "chemical"?

Any material with a known composition is a chemical. To put it another way, a chemical always consists of the same "substance." There are some substances in nature, like water. Chlorine and other chemicals are made at factories.

What instances from chemistry?

All of these things are made of chemical, some natural and others synthetic, including air, water, iron, fuel, clothes, stone, equipment, plastics, plants, and food. Chemicals can be made up of several different chemicals or they can be specific chemical molecules like water. Ammonia, oxygen, water, carbon dioxide, and other substances are all present in air.

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fill in the blank. last word if a government wants to efficiently reduce a widespread negative externality like air pollution, it must know the costs of pollution abatement of the individual polluters. however, this information is difficult to obtain directly. tradeable emissions permits are one way to solve the asymmetric information problem affecting pollution abatement efforts. fill in the blanks to explain how this is possible.

Answers

If a government wants to efficiently reduce a widespread negative externality like air pollution, it must know the costs of pollution abatement of the individual polluters.

a. lower, higher

b. lower, lower

The term "abatement costs" refers to the expenses incurred by a company or organization when it becomes necessary to get rid of any unwelcome annoyances or unfavorable byproducts of the production process. It is the cost associated with removing a harmful externality, such as pollution that has an adverse environmental impact.

As tradable emissions permits are available, organizations with lower abatement costs can sell them to companies with higher abatement costs in order to address the issue of pollution abatement costs.

The firm that sold the permit would have lower abatement costs and the negative externality is also lowered at the lowest cost achievable if the firm still had to cut its pollution output after selling.

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If a government wants to efficiently reduce a widespread negative externality like air pollution, it must know the costs of pollution abatement of the individual polluters. However, this information is difficult to obtain directly. Tradeable emissions permits are one way to solve the asymmetric information problem affecting pollution abatement efforts.

a. Because the permits are tradeable, firms with ___ abatement costs will sell some of their permits to firms with ___ abatement costs.

Now consider that even after a firm has sold its permits, it must still reduce its pollution output.

b. Since those who sell their permits would have ___ abatement costs, the negative externality is reduced at ___ possible cost to society.

chromium and cadmium can be removed from wastewater by treatment with sodium hydroxide. show the net ionic reactions of cr3 (aq) with naoh(aq) and cd2 (aq) with naoh(aq).

Answers

The following are the net ionic processes for removing chromium (III) and cadmium from wastewater using sodium hydroxide: Sodium hydroxide with chromium (III): Cr3+(aq) + 3NaOH(aq) -> Na3Cr(OH)3.

Cadmium in the presence of sodium hydroxide: Cd2+(aq) + 2NaOH(aq) -> Na2Cd(OH)2. Metal ions react with hydroxide ions in both processes to generate insoluble metal hydroxide precipitates that can be readily removed from the solution. Precipitation is a treatment method that is excellent for removing heavy metal ions from wastewater.chromium and cadmium can be removed from wastewater by treatment with sodium hydroxide. show the net ionic reactions of cr3 (aq) with naoh(aq) and cd2 (aq) with naoh(aq).The following are the net ionic processes for removing chromium (III) and cadmium from wastewater using sodium hydroxide: Sodium hydroxide with chromium (III): Cr3+(aq) + 3NaOH(aq) -> Na3Cr(OH)3.

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treatment of the following stereoisomer of 1-bromo-1,2-diphenylpropane with sodium ethoxide in ethanol gives a single stereoisomer of 1,2-diphenylpropene. draw the e2 elimination product of the reaction. take into account that the starting stereochemistry affects the resulting double bond stereochemistry.

Answers

Take into account that the starting stereochemistry affects the resulting double bond stereochemistry.

Define  stereoisomer ?

Stereoisomers. Generally defined, stereoisomers are isomers that have the same composition (that is, the same parts) but that differ in the orientation of those parts in space. There are two kinds of stereoisomers: enantiomers and diastereomers.

Stereoisomers have the same molecular formula and chemical bonds but they have different spatial arrangements. Stereoisomers can be subdivided into two parts that are configurational and conformational isomers.

Stereoisomers occur as a result of the different relative orientations of distinct groups of molecules that are connected to a central core. R-Thalidomide and S-Thalidomide are an example of stereoisomers.

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One of the main properties of covalent bonds is that they form
O a. weak
O b. strong
O c. metallic
d. ionic
bonds.

Answers

Electrons from both participating atoms are distributed equally to create a covalent bond.

In this  case option B is correct.

Covalent bonds: how are they created?

The shared pair or bonding pair is the name for the electron pair that makes up this kind of bonding. Extremely high ionization energy elements cannot accept electrons, and equally, extreme low electron affinity elements cannot transmit electrons.The atoms of these elements frequently exchange electrons with other atoms of the same element or with atoms of other elements in order for both atoms to achieve stability.Bonds between objects of different or similar types that share electron pairs are known as covalent bonds. When two atoms trade one or more pairs, a covalent bond is created.

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A freshener is the best choice of tonic lotion for mature or __ skin?

Answers

Answer: A freshener is the best choice of tonic lotion for mature or SENSITIVE skin.

Explanation: The ingredients reduce aging.

Complete the following statement: Oxygen is a reactant of _____(1)_____ while being the product for _____(2)_____. (4 points)

a
(1) photosynthesis, (2) fermentation

b
(1) cellular respiration, (2) photosynthesis

c
(1) fermentation, (2) anaerobic respiration

d
(1) aerobic respiration, (2) photosynthesis

Please will give brainly!!!

Answers

Oxygen is a reactant of cellular respiration while being the product for photosynthesis.

What is photosynthesis?

It is defined as a process by which plants and other photosynthetic organisms convert the light energy in to chemical energy  through the process of cellular respiration.

Some of the energy which is converted  is stored in molecules of carbohydrates like sugar and starches  which are made up of from carbon dioxide and water . Photosynthetic organisms which can perform photosynthesis  are algae and cyanobacteria. Photosynthesis is largely responsible for producing and maintaining the content of oxygen in earth's atmosphere.

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NEED HELP ASAPPPPPPP​

Answers

A color's degree of purity is measured by intensity, commonly referred to as saturation or chroma. While a low-intensity color is more muted or neutral, a very intense hue is dazzling.

What adjectives best characterize a color's intensity?A color's brightness or dullness is determined by its intensity, often known as chroma or saturation. The intensity of a color is maximum when it is displayed on a color wheel (bright). It turns boring when used with white, gray, or black. When blended with their complement, colors also lose intensity (the opposite color on the wheel).A color's degree of purity is measured by intensity, commonly referred to as saturation or chroma. While a low-intensity color is more muted or neutral, a very intense hue is dazzling.A color's degree of purity is measured by intensity, commonly referred to as saturation or chroma.

The complete question is,

What is a hue that is quite intense?

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A ball leaves a girl's hand with an upward velocity of 6 meters per second. What is the maximum height of the ball above the girl's hand?

Answers

The maximum height that is attained by the ball that leaves the hand is 1.8 m.

What is the maximum height?

We know that we can be able to use the equation of the motion of a body that occurs under gravity to be able to obtain the maximum height that has been attained by the ball as it is leaving the hand of the girl.

We would then have that;

v^2 = u^2 - 2gh

v = final velocity

u = initial velocity

g = acceleration due to gravity

h = height of the ball

If v = 0 m/s at the maximum height

u^2 = 2gh

h = u^2/2g

h = (6)^2/2 * 9.8

h = 36/19.6

h = 1.8 m

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The bones of a saber-toothed tiger are found to have an activity per gram of carbon that is 15.0 % of what would be found in a similar live animal. How old are these bones? Give answer in years. Do not enter unit.

Answers

The bones are 16925 years old.

The process of carbon dating involves counting the amount of the radioactive isotope carbon-14 that is present in a sample. As carbon-14 breaks down into nitrogen-14 over time, less of it is present. Scientists can determine how recently an organism died by calculating the ratio of carbon-14 to carbon-12 in a sample. Now to know the age of the bones we must directly use the radioactive decay law: d N d t ∝ N

Where the rightmost part of the equation comes from the statement that the activity found is just 15.0% of the activity that would be found in a similar live animal. This means that the number of carbon-14 atoms is just  15.0% of what it was at the moment the saber-toothed tiger died.

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Question 9 (1 point)
Which of the following correctly expresses the relationship between frequency and wavelength. Use the diagram below to help you.



a
Frequency increases as wavelength decreases (gets shorter)
b
Frequency and wavelength are unrelated.
c
Frequency is equal to wavelength.
d
Frequency decreases as wavelength increases (gets longer)

Answers

The statement that correctly expresses the relationship between frequency and wavelength is as follows: Frequency increases as wavelength decreases i.e. gets shorter (option A).

What is wavelength?

Wavelength is the length of a single cycle of a wave, as measured by the distance between one peak or trough of a wave and the next.

The wavelength is often designated in physics as λ, and corresponds to the velocity of the wave divided by its frequency.

Frequency and wavelength are inversely proportional to each other. The wave with the greatest frequency has the shortest wavelength and vice versa.

Therefore, option A is correct.

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