Consider three reactions with different values of Ea and ?E Reaction 1: Ea = 20 kJ/mol ?E = -60 kJ/mol Reaction 2: Ea = 10 kJ/mol ?E = -20 kJ/mol Reaction 3: Ea = 40 kJ/mol ?E = +15 kJ/mol a) Sketch the potential energy profile for each reaction that shows the potential energy of reactants, products, and the transition state. Include labels that define Ea and ?E. b) Assuming that all three reactions are carried out at the same temperature and have the same frequency factor, A., which reaction is the fastest and which is the slowest? c) Which reaction is the most endothermic, and which is the most exothermic

Answers

Answer 1

a) To sketch the potential energy profile for each reaction:


1. Draw a horizontal line to represent the potential energy of reactants, a second line for products, and a peak for the transition state.
2. Label the vertical distance between the reactants and transition state as Ea, and the vertical distance between reactants and products as ΔE.

b) The fastest reaction is Reaction 2, and the slowest is Reaction 3.

c) The most endothermic reaction is Reaction 3, and the most exothermic is Reaction 1.

The rate of a reaction is influenced by its activation energy (Ea). Lower Ea values indicate faster reactions, assuming the same temperature and frequency factor (A). In this case, Reaction 2 has the lowest Ea, so it's the fastest, while Reaction 3 has the highest Ea, making it the slowest.

An endothermic reaction has a positive ΔE, while an exothermic reaction has a negative ΔE. Reaction 3 is the most endothermic with ΔE = +15 kJ/mol, and Reaction 1 is the most exothermic with ΔE = -60 kJ/mol.

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Related Questions

PLease help my imma mark brainlist plsss
Did the chemical reaction absorb or release energy? How do you know?

Answers

Answer:

Chemical reactions that absorb (or use) energy overall are called endothermic. In endothermic reactions, more energy is absorbed when the bonds in the reactants are broken than is released when new bonds are formed in the products.

What is the approximate energy of a photon having a frequency of 4 x 10^13 Hz? (h=6.6 x 10^-34 Js)

Answers

Answer: E = 26.4 × 10⁻²⁷ j

Explanation:

Given data:

Frequency of photon = 4×10⁷ Hz

Energy of photon = ?

Planck's constant = 6.6 × 10⁻³⁴ js

Solution:

Formula:

E = h × v

v =  frequency

Now we will put the values in formula.

E = 6.6 × 10⁻³⁴ js × 4×10⁷ Hz

Hz = s⁻¹

E = 26.4 × 10⁻²⁷ j

The energy of photon is 26.4 × 10⁻²⁷ j.

Answer:

just guess i looked and its not here

Explanation:

What is the charge of a beta particle?

Answers

Answer:

Beta particles have a charge of minus 1.

Explanation:

Hope this helps!

Answer:

MARK AS BRAINLIEST ANSWER

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Explanation:

Beta particles have a mass which is half of one thousandth of the mass of a proton and carry either a single negative (electron) or positive (positron) charge. As they have a small mass and can be released with high energy, they can reach relativistic speeds (close to the speed of light)

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a. A ph below 7.35 is acidosis, while a ph above 7.45 is a state of _______________. b. The condition of acidosis can cause _____________ because the higher h concentration diffuses to the icf, pushing k towards the ecf. c. Two imbalances that are related are ______________ and hypochloremia because additional cl- must be excreted to the kidney tubules to buffer the high concentrations of h in the tubules.

Answers

a. A pH above 7.45 is a state of alkalosis. b. The condition of acidosis can cause hyperkalemia. c. Two imbalances that are related are hyperchloremia and hypokalemia.

a. A pH below 7.35 is acidosis, while a pH above 7.45 is a state of alkalosis. This is because the pH scale ranges from 0 to 14, where a pH of 7 is considered neutral.

A pH below 7 indicates acidity, while a pH above 7 indicates alkalinity. Acidosis occurs when there is an excess of acid or a loss of base in the body, leading to a decrease in blood pH below the normal range. On the other hand, alkalosis occurs when there is an excess of base or a loss of acid in the body, leading to an increase in blood pH above the normal range.

b. The condition of acidosis can cause hyperkalemia because the higher H+ concentration diffuses into the intracellular fluid (ICF), pushing K+ towards the extracellular fluid (ECF). This leads to an increase in serum potassium levels. Hyperkalemia can cause muscle weakness, cardiac arrhythmias, and even cardiac arrest.

c. Two imbalances that are related are hyperchloremia and hypokalemia because additional Cl- must be excreted into the kidney tubules to buffer the high concentrations of H+ in the tubules. This causes an increase in the excretion of K+ ions, leading to hypokalemia.

Hypokalemia can cause muscle weakness, cramps, and cardiac arrhythmias, among other symptoms. Hyperchloremia occurs when there is an excess of chloride ions in the blood, often due to a loss of bicarbonate ions, leading to an increase in blood pH. It is commonly associated with metabolic acidosis.

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an element has atomic number of 17 state the elements group and period number​

Answers

Answer:

The element is in group 7, the halogens. The element is in the third period or row of the table.

Explanation:

Chlorine is element number 17.

I only need the answer to numberr 4

I only need the answer to numberr 4

Answers

We live in the Milky Way, so I believe your answer would be C.

give the systematic name for the compound ba no3 2

Answers

The systematic name for the compound Ba(NO3)2 is barium nitrate. Barium nitrate is an inorganic salt with the chemical formula Ba (NO3)2. It is a colorless, odorless, and crystalline solid that is highly soluble in water. The compound is formed by combining one atom of barium and two ions of nitrate.

The name “barium” comes from the Greek word “barys,” which means “heavy,” and is a reference to its high density. The term “nitrate” refers to the polyatomic ion NO3-, which is composed of one nitrogen atom and three oxygen atoms. Barium nitrate is commonly used in pyrotechnics, as it is a powerful oxidizing agent that produces a bright green flame when ignited.

The systematic naming of inorganic compounds is based on the rules set out by the International Union of Pure and Applied Chemistry (IUPAC). The name of an ionic compound is composed of the cation name followed by the anion name. In the case of barium nitrate, “barium” is the name of the cation, while “nitrate” is the name of the anion.

Therefore, the systematic name for the compound Ba(NO3)2 is barium nitrate.

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Suppose that 0. 323g of unknown sulphate is dissolved in 50ml of water the solution is acidified with 6 M HCl heated and an excess aqeous ba chloride is slowly added to the mixture resulting in the formation of white precipitate

Answers

The formation of white precipitate indicates the presence of Sulphate ions.

Ba2+ ions combine with the sulphate ions, forming an insoluble white precipitate of barium sulphate .The equation for this reaction is as follows:

Ba2+(aq) + SO42-(aq) → BaSO4(s)

If the sulphate ion is present, it will react with the Ba2+ ion in a 1:1 molar ratio to form the white precipitate. The chemical formula for barium sulphate is BaSO4.In this case, the BaCl2 solution is in excess, which means that there are more Ba2+ ions than SO42- ions in the solution. This ensures that all of the SO42- ions react with the Ba2+ ions to form the white precipitate.The molarity of the BaCl2 solution is not given in the question, so it is impossible to calculate the molarity of the solution.The presence of the white precipitate indicates the presence of sulphate ions in the sample. As a result, the sample may be analysed for the quantity of sulphate ions present. It is impossible to determine the molarity of BaCl2 because the molarity of the solution is not given.

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connect the two ways in which the concentration of a solution can be calculated and explain why understanding the concentration is of value.

Answers

There are two main ways to calculate the concentration of a solution: molarity and percent concentration. Molarity is the number of moles of solute per liter of solution, while percent concentration is the amount of solute per 100 parts of solution.
the concentration of a solution is valuable because it allows for accurate and precise measurements in chemical reactions and experiments. For example, if a scientist needs to create a solution with a specific concentration, they must know how much solute to add to the solvent in order to achieve the desired concentration.

Additionally, knowing the concentration of a solution can help determine the appropriate dilution or concentration needed for a specific application or use. Overall, understanding concentration is crucial for accurately preparing and using solutions in scientific and industrial settings.

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describe how soil salinization occurs. propose a solution to prevent or remediate soil salinization. identify one disadvantage of the solution you propose.

Answers

Soil salinization occurs when the soil becomes too high in salt content, which can be harmful to plants. This can happen due to a variety of factors, including irrigation with salty water, natural salt deposits in the soil, or high levels of salt in the air.

One solution to prevent soil salinization is to use irrigation techniques that minimize the amount of salt that is introduced to the soil. For example, drip irrigation and other low-volume irrigation methods can help to reduce the amount of salt that is applied to the soil. Another solution is to use a soil amendment, such as gypsum, to help remove excess salt from the soil.

One disadvantage of using a soil amendment to remediate soil salinization is that it can be expensive to apply. Additionally, it may not be effective in all cases, depending on the specific cause of the soil salinization and the type of soil.

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how many flourine atoms are in 410 g of UF6

Answers

3.6 ×10²⁴ atoms fluorine are in 410 g of UF\(_6\). Fluorine is an atomic number 9 chemical element with both the symbol F.

What is fluorine?

Fluorine is an atomic number 9 chemical element with both the symbol F. This is the smallest halogen as well as occurs as a very poisonous, pale yellow diatomic vapor under normal circumstances.

It is exceptionally reactive being the most electronegative active catalyst, reacting with all other elements save the light inert.

mole =  410 / 352.02 =1.16mole

number of atom= 1.16× 6.022×10²³=6.98×10²³

number of atom of fluorine =6× 6.98×10²³= 3.6   ×10²⁴ atoms

Therefore, 3.6 ×10²⁴ atoms fluorine are in 410 g of UF\(_6\).

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Question 1
1 pts
How many grams of sodium is contained in the final container when you dispense 564.2 mL of a
5.72 M sodium chloride solution into a beaker?
The atomic mass of sodium is 22.99 amu
The atomic mass of chlorine is 35.45 amu
Write your answer without units.
Next

Answers

Therefore, there are 73.3 grams of sodium in the final container.

Is sodium chloride acidic or basic?

Sodium chloride (NaCl) is a neutral compound, meaning it is neither acidic nor basic. It is a salt formed by the combination of sodium (Na+) and chloride (Cl-) ions, which have a neutral charge and therefore do not affect the pH of a solution.

Firstly, the number of moles of sodium in the solution will be:

n = C * V = 5.72 M * 564.2 mL = 3.21 moles

Next, we convert the number of moles of sodium to grams:

mass = n * atomic mass = 3.21 moles * 22.99 amu/mole = 73.3 grams

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Discuss electrochemical principle about rusting of iron​

Answers

Answer:

The electrochemical phenomenon of rusting of iron can be described as : At Anode: Fe (s) undergoes oxidation to releases electrons. Electrons released at anode move to another metal and reduce oxygen in presence of H+. It is available from H2CO3 formed from the dissolution of CO2 from air into water.

Given the following equation: 2 KCIO3 → 2 KCl +30₂
2. How many moles of O₂ can be produced by letting 9 moles of KCIO3 react?

Answers

The balanced equation tells us that we get 3 moles of O2 for every 9 moles of KClO3.we'll get (9/2)*3(m.0) moles O2 or 13.5  moles of O2.

How to calculate moles in a chemical reaction?

A mole is the mass of a substance made up of the same number of fundamental components. Atoms in a 12 gram example are identical to 12C. Depending on the substance, the fundamental units may be molecules, atoms, or formula units.

A mole fraction shows how many chemical elements are present. The value of 6.023 x 1023 is equal to one mole of any substance (Avagadro number). It can be used to quantify the chemical reaction's by-products. The symbol for the unit is mol.

The number of moles formula is denoted by the following expression.

Mass of material / Mass of one mole equals the number of moles.

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Where do people and other animals get energy to move around?

Answers

___________________________________________________________

Answer:

This is where much of the chemical energy from food is absorbed into your body for use by the cells. Animals, including humans, get chemical energy from plants. Even when animals eat meat, the chemical energy held in the meat came from the food that the animal ate.

___________________________________________________________

They get it from food

I hope it help

What is the most important reason for using hydrates in fire extinguishers?
-They keep fire extinguishers dry during shipping and storage.
-They make fire extinguishers more affordable for household use.
-They create foams that have high water content to help extinguish fires.
-They create high pressure in the cylinder to quickly force out the fire r*tardant.

Answers

The importance of the use of hydrates in fire extinguishers are;

-They keep fire extinguishers dry during shipping and storage.

-They create foams that have high water content to help extinguish fires.

They create high pressure in the cylinder to quickly force out the fire r*tardant.

What is a fire extinguisher?

We know that a fire extinguisher has to do with any device that has been made in such a way that the device can be used to eliminate a flame that is burning. We all know that fore can be very destructive. This implies that it is important to be able to put out the fire so that it does not cause big problems.

The fire extinguisher is composed of certain chemical substances that are able to react together quickly and then be able to quench the flame of the reaction that is going on in the system.

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Which orbital diagram represents
helium (atomic number = 2)?

Which orbital diagram representshelium (atomic number = 2)?

Answers

Answer:

its B

Explanation:

right on acellus

Which of these explains
what a theory is?
A. A model of the atom.
B. A possible explanation for why something happens.
C. A set of observations about an experiment.
D. The explanation of why a hypothesis is disproven.

Answers

Answer:

B. A possible explanation for why something happens.

Explanation:

By the process of elimination, it's none of the others but B.

The structure and bonding of diamond, which is formed from graphite at extreme pressures, should be similar to that of elemental:

Answers

Answer:

silicon and germanium.

Explanation :

The passage states that at extreme pressures an elemental solid assumes the structure and bonding characteristics of a heavier element in the same column of the periodic table. The structure and bonding of diamond, which is a form of carbon, would therefore be most like other elements in the same group of the periodic table as carbon. This group contains silicon and germanium.

Question 57
Marks: 1
The EPA stream quality indicator for dissolved oxygen in stream water is
Choose one answer.

a. 3 mg per liter

b. 4 mg per liter

c. 5 mg per liter

d. 6 mg per liter

Answers

The EPA stream quality indicator for dissolved oxygen in stream water is:c. 5 mg per liter

Dissolved oxygen (DO) is an important indicator of the health of a water body. The EPA (Environmental Protection Agency) has set guidelines for the minimum dissolved oxygen levels to support a healthy aquatic ecosystem. For streams, the recommended minimum level of dissolved oxygen is 5 mg per liter. This level ensures that the water can support a diverse range of aquatic life, including fish, invertebrates, and other organisms.
To maintain good water quality, it's essential to regularly monitor dissolved oxygen levels using various sampling methods and equipment. If dissolved oxygen levels drop below the recommended threshold, it can indicate problems such as pollution or excessive nutrient loading, which can lead to eutrophication and negatively impact the ecosystem.

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What is 4-tert-butylcyclohexanone reduced to?

Answers

4-tert-butylcyclohexanone can be reduced to 4-tert-butylcyclohexanol.

This reaction typically involves the use of a reducing agent such as sodium borohydride or lithium aluminum hydride. Reduction is a chemical process that involves the addition of electrons to a molecule or compound, resulting in a decrease in the oxidation state of the atoms involved.

In the case of 4-tert-butylcyclohexanone, the ketone functional group (-C=O) is reduced to a secondary alcohol (-CH(OH)-). This transformation can be useful in various synthetic applications, such as in the preparation of chiral building blocks for pharmaceuticals or other fine chemicals.

Overall, the reduction of 4-tert-butylcyclohexanone to 4-tert-butylcyclohexanol is an important and widely used chemical transformation that has a broad range of applications in organic synthesis.

4-tert-butylcyclohexanone is an organic compound that can be reduced to form a new compound.

The starting material, cyclohexanone, is a ketone with a six-membered ring structure.

The 4-tert-butylcyclohexanone has a tert-butyl group attached to the fourth carbon in the cyclohexanone ring.

When we talk about reducing 4-tert-butylcyclohexanone, it means we will be converting the carbonyl group (C=O) in the molecule into an alcohol group (C-OH). This reduction can be achieved using various reducing agents, such as sodium borohydride (NaBH4) or lithium aluminum hydride (LiAlH4).

Upon reduction, 4-tert-butylcyclohexanone is transformed into 4-tert-butylcyclohexanol.

The primary difference between these two compounds is the presence of an alcohol group (OH) in the reduced product instead of the carbonyl group (C=O) found in the starting material.

This change in functional groups significantly affects the chemical properties of the resulting compound.

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an element has the following fi rst through fourth ionization energies in mj?mol21 : 0.7, 1.5, 7.7, 10.5. deduce to which group in the periodic table it probably belongs. give your reasoning

Answers

The main answer is that the element likely belongs to Group 2 of the periodic table, also known as the alkaline earth metals.

The element's ionization energy values suggest that it is likely an alkaline earth metal and belongs to Group 2 of the periodic table.
The explanation for this is that elements in Group 2 have relatively low first ionization energies, which is reflected in the value of 0.7 mj/mol21 given in the problem.

As you move down Group 2, the second, third, and fourth ionization energies generally increase, which matches the trend seen in the given values of 1.5, 7.7, and 10.5 mj/mol21.



In summary, the element's ionization energy values suggest that it is likely an alkaline earth metal and belongs to Group 2 of the periodic table.

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Can somebody plz answer both questions correct!!!! Only 1-2 sentences per question is fine :)
(WILL MARK BRAINLIEST)...promise :D

Can somebody plz answer both questions correct!!!! Only 1-2 sentences per question is fine :)(WILL MARK

Answers

Answer:

1)  A compound is the chemical combination of two or more elements into a single substance.

An atom is the smallest particle of an element.

2) Elements have only one kind of atom.

Compound always have more than one kind of atom.

Answer:

1) An atom is the smallest possible piece of a chemical element, and a compound can be composed of two or more separate elements

2) An element is made up of only one kind of atom and a compound is made up of two or more kind of atoms

Explanation:

what did bohr consider electrons as?

A. Discrete particles
B. Continuous particles
C. Particles with zero energy
D. None of the above

Answers

Answer:

D?

Explanation:

I think D hmm is the answer if I am wrong pls anyone or someone type the right answer but for me is d

Answer:

NOT D!!!!

Explanation:

I am taking the quiz on ck12, it is NOT "none of the above"

Which two physical properties are used to describe matter?

A Mass and reactivity
B Weight and toxicity
C Volume and pH
D Mass and volume

Answers

D.) mass and volume

A student masses a sample of clay on a balance. She successfully creates it into the shape of an ice cream cone, a donut, and a hollow ball, massing the clay after each creation. Which clay creation will have the greatest mass?

A. Ice Cream Cone
B. Hollow Ball
C. Donut
D. The mass will be the same for all

Answers

Answer:

D

Explanation:

Because she is continuously using the same piece of clay, the mas does not change.

A gas has a pressure of 0.75 liters at a pressure of 2.3 X 10 ^4atm. The gas
eventually comes to a pressure of 24.0 atm. What is the volume of the gas after
the explosion?

Answers

To solve this problem, we can use Boyle's Law, which states that the product of pressure and volume for a given amount of gas at constant temperature is constant.

Using the formula P₁V₁ = P₂V₂, where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume, we can solve for V₂.

Given:
P₁ = 2.3 x 10^4 atm
V₁ = 0.75 liters
P₂ = 24.0 atm

Using the formula:
P₁V₁ = P₂V₂

Substituting the values:
(2.3 x 10^4) * 0.75 = (24.0) * V₂

Now we can solve for V₂:
V₂ = (2.3 x 10^4 * 0.75) / 24.0

Performing the calculations, the volume of the gas after the explosion is the result of the above expression.

When a trait is affected by a gene on

Either on the X or Y Chromosomes, which inheritance pattern is being described

When a trait is affected by a gene on Either on the X or Y Chromosomes, which inheritance pattern is

Answers

The traits that are effected by the X or the Y chromosomes are s--ex linked.

What is the chromosome?

We know that animals are composed of cells. The cells have different parts that are contained in the cells and these parts of the cells are what we call the organelles of the cell. The organelles of the cell just helps the cell to perform its functions. The cell is the simplest unit of life that we have.

Now one of the organelles in the cell is the chromosome. This is the organelle that contains the gene. It gene is the unit of inheritance. Let us know that this unit of inheritance is passed from the parents to the offspring.

Let us then bear in mind that hen a trait is affected by a gene on either on the X or Y Chromosomes, which inheritance pattern is being described as s--ex linked.

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Why is familiarizing and determining the reactants and products of a chemical reaction important?

Answers

Familiarizing and determining the reactant and product of a chemical reaction is important because reactant and product are the two main component of the chemical reaction.

All the chemical reactions involves the reactant and product. chemical reactions are comprised of reactant and product. Reactants are substances that start a chemical reaction. Products are substances that are produced in the reaction. The relationship between reactants and products in a chemical reaction can be represented by a chemical equation that has this general form,

          Reactants → Products

The chemical formula allows us to give the scientific name to the substance. The chemical formula allows us to predict the nature and properties of the substance. The chemical formula allows us to write balanced chemical equations.

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An unknown substance with a mass of 5 grams releases 16.1 joules of energy when undergoing a temperature decrease of 7 degrees Celsius. What is the specific heat of that substance and what substance is it?

Answers

Answer:

0.46 J/g degrees C, Iron

Explanation:

16.1 J = 5 g x c x 7 degrees C

c = 16.1 / 5 x 7 = 0.46

Answer: 0.46 J/g degrees C, Iron

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menciona que elementos de la pre escritura considera el autor para la creacin de sus libros OMAR Milln The human body produces 1.4 liters of urine daily. The kidneys produce the urine by filteringblood. Which statement best describes the importance of urine production?* (2 Points)1.It helps in the removal of wastes produced by cells in the blood.2.It helps in the absorption of nutrients into the intestine.3.It helps in removing carbon dioxide from blood. Find the derivative of the function. f(x) = x(x - 9) f'(x) = 9. Find the derivative of the function. 3x 3 y = 1 Identify a synonym for the underlined word below:With the temperature fluctuations, the roses died.a.movementsc.decreasingb.risingd.none of the above california conforms to the federal MACRS 39-year recovery periodfor nonresidential real property, but only for property place inservice after which year?A. 1987B. 1996C. 2001D. 2006 What does Dynamic Steel need to do to be successful withthe new product (wider rolled flange beam)?!!! < 305 of 484 > Aa Next 6. Dynamic Steel Dynamic Steel is one of two major producers of wide-flange beams in the United States. The other producer is USX. A number of small firms also compete, but James is using a microscope to look at some bacteria After a few minutes, he notices that one of the cells has split into two identical cells which part of Cell Theory does his observation support? Cells are the basic unit of lifeAll living things are made of cellsAll cells come from pre-existing cellsThere are two types of cells, prokaryotes and eukaryotes How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2? Set 1: 5, 10, 7, 2 Set 2: 5, 10, 7, 42 The MAD of set 1 is 10. 5 more than the MAD of set 2. The MAD of set 1 is 2. 5 more than the MAD of set 2. The MAD of set 1 is 10. 5 less than the MAD of set 2. The MAD of set 1 is 2. 5 less than the MAD of set 2. Consider the following sample of fat content (in percentage) of 10 randomly selected hot dogs:/05/20 25.2 21.3 22.8 17.0 29.8 21.0 25.5 16.0 20.9 19.5 Assuming that these were selected from a normal population distribution, construct a 95% confidence interval (CI) for the population mean fat content. How many x or y intercepts can a quadratic function have? 0-2 x-intercepts and 0-1 y-intercept 2 x-intercepts and 1 y-intercept 0-2 x-intercepts and 1 y-intercept1-2 x-intercepts and 0-1 y-intercept An adult stem cell called a hematopoietic stem cell from bone marrow is most useful in treating a ______. Have the systems of federalism, popular sovereignty, and checks and balances properly restrained the government or are the people powerless? PLEASE HELP ON THESE TWO QUESTIONS ILL GIVE BRAINLIEST AND EVERYTHING ELSE1. Luke bought 8 tickets to a basketball game. He paid a total of $208. Each ticket was a price of p. Write an equation to represent this situation.2. Jessica purchased 6 quarts of milk for $9.54. Write an equation using a variable to represent how much she paid for each quart.(sorry i couldnt do more points for this, its glitching.) Which sentence most accurately describes the effect of slow, gloomybackground music in a TV news segment?A. It creates a feeling of conclusion.B. It creates a feeling of beginnings.C. It creates a positive tone.D. It creates a negative tone. Two moles of an ideal monatomic gas go through the cycle abc. For the complete cycle, 800 J of heat flows out of the gas. Process ab is at constant pressure, and process bc is at constant volume. States a and b have temperatures Ta = 200 K and Tb = 300 K.(a) Sketch the all possible pV-diagrarns for the cycle.(b) What is the work W for the process ca? Where are remote shut-off valves located on MC-306 cargo tanks? A. Next to the air coupling. B. At the front of the tank. C. Near the front of the cab. (10.04 MC)What cosine function represents an amplitude of 3, a period of , no horizontal shift, and a vertical shift of 2? (6 points)Group of answer choicesf(x) = 3 cos 2x + 2f(x) = 3 cos x + 2f(x) = 2 cos x + 3f(x) = 2 cos 2x + 3 Define atomic radius and describe the atomic radius trends in the periodic table? Select the correct answer.Is the boxed POSSESSIVE NOUN used correctly?Who took that teams' uniforms?A. YesB. No O A. The dancers and singer wear bright orange outfits on stage.O B. The dancers and singer wears bright orange outfits on stage.O C. The dancers and singer wearing bright orange outfits on stage.O D. The dancers and singers wears bright orange outfits on stage.