hydrocarbons are compounds that contain only c and h atoms. when a hydrocarbon reacts with o2, co2 and h2o are formed. write a balanced equation for the combustion of the following hydrocarbon, a high-octane components of gasoline.

Answers

Answer 1

The reaction is 2 C6H6 + 15 O2 -> 12 CO2 + 6 H2O.

What is combustion?

Combustion is the oldest technology known to mankind and one of our most significant discoveries or inventions. Combustion has been around for a very long time. Fire, along with earth, water, and air, was thought to be one of the four basic elements in the cosmos from antiquity through the mediaeval centuries. Combustion, explosion, and flame have all been observed and speculated since the dawn of time. Each culture has its own explanation. The Greeks explained combustion in terms of philosophical beliefs, one of which was that all fuel bodies included a "inflammable essence," which exited when the body was burned to react with air.

The reaction is:

C6H6 + O2 -> CO2 + H2O

Balance C:

C6H6 + O2 -> 6 CO2 + H2O

Balance H:

C6H6 + O2 -> 6 CO2 + 3 H2O

Balance O:

2 C6H6 + 15 O2 -> 12 CO2 + 6 H2O

The reaction is 2 C6H6 + 15 O2 -> 12 CO2 + 6 H2O.

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Related Questions

what are the features of a standard hydrogen electrode? a temperature of 298 k a carbon electrode hydrogen gas at 1.01 x 10^5 pa (1 atm) pressure

Answers

The features of a standard hydrogen electrode are :

1. Temperature of 298 K (25°C)

2. Carbon electrode

3. Hydrogen gas at 1.01 x 10^5 Pa (1 atm) pressure

4. Electrolyte solution containing a hydrogen ion activity of 1 mol/L

5. Platinum wire as the current collector

6. A Potential of 0.00 V (relative to the hydrogen gas)

These features are what make up the Standard Hydrogen Electrode (SHE). The temperature of 298 K is the temperature at which the SHE is calibrated and is the standard temperature used in most laboratory experiments. The carbon electrode serves as the interface between the hydrogen gas and the electrolyte, and the hydrogen gas is held at 1.01 x 10^5 Pa (1 atm) pressure. The electrolyte solution contains a hydrogen ion activity of 1 mol/L, which is necessary for the electrode to function properly. A platinum wire is used as the current collector, and the electrode has a potential of 0.00 V, relative to the hydrogen gas. All of these features are necessary for the SHE to function properly and for the electrode to serve as the reference for all other electrochemical measurements.

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If you dropped the pencil one more time, do you think
it would be more likely to land near the center or near
the edge of the circle? Include evidence to support
your answer.

Answers

is there supposed to be more to this question ?

Differentiate between electric current and resistance in three points fast pleaseee​

Answers

The difference between electric current and resistance is given below:

Electric Current

A system of electric charges in motion is called electric current.The SI unit of current is Ampere (''Amp'')Itis the amount of charge flowing through a cross section in unit time is given by, I= Q/t

Resistance

Resistance is a material's tendency to resist the flow of charge (current).The SI unit of Resistance is ohm (Ω)Formula of Resistance R= ρ*L/A                                                          

An electric current is formed when a conducting path is created to allow electric charge to continuously move. Electrical resistance is directly proportional to length (L) of the conductor and inversely proportional to the cross-sectional area (A).        

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how to lower alkalinity in pool without affecting ph

Answers

Answer:

Explanation:

1. Test Your Pool Water Testing your water is always the first step when trying to correct your pool chemistry.

2. Add Muriatic Acid to Lower pH and Alkalinity.

3. Allow Time for the Acid to Circulate.

4. Aerate the Water to Raise the pH.

5. Allow Time for Aeration to Work.

Speed is the rate of change of position expressed as _____ traveled per unit of time. A. direction B. meter C. displacement D. distance... Help!!!

Answers

Answer:

Distance

Explanation:

What do you think our country should do to combat climate change?

Answers

Answer:

All countries need to move their economies away from fossil fuels as soon as possible. Invest in renewable energy. Changing our main energy sources to clean and renewable energy is the best way to stop using fossil fuels. These include technologies like solar, wind, wave, tidal and geothermal power

answer as much as you can please! need help :(

answer as much as you can please! need help :(

Answers

1. The number of moles of NaOH is 0.00162 moles

2. There are 0.00486 moles of citric acid

3. It is equivalent to 192 g of citric acid.

4. The mass of the citric acid is 12.95 g

What is neutralization?

1) The number of moles of the NaOH

Concentration * volume

= 0.1 M * 16.2/1000 L

= 0.00162 moles

1 mole of NaOH reacts with 3 moles of citric acid

0.00162 moles of NaOH reacts with 0.00162 * 3/1

= 0.00486 moles

Concentration of the citric acid = 0.00486 moles * 1000/25

= 0.19 M

Then;

m/M = CV

m = 0.19 * 355/1000 * 192

= 12.95 g

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MARKING BRAINLIEST!
Many processes occur in the digestive system. Which process is best classified as a physical change?

A. digestive enzymes breaking down proteins into smaller fragments

B. teeth grinding an almond into smaller pieces in the mouth

C. bacteria converting lactose into simple sugars in the intestines

D. saliva converting the starch molecules in crackers into simpler sugars

Answers

Answer:

Teeth gridning

Explanation:

BC YOUR GRINDING IT

PLEASE HELP ME ILL GIVE BRAINLIEST

PLEASE HELP ME ILL GIVE BRAINLIEST

Answers

Answer:

TRUE :)

Explanation:

blood is pumped through the pulmonary artery to the lungs, where it picks up oxygen and releases carbon dioxide.

Answer:

False

Explanation:

it takes it to tha lungs.

If the pk values for phosphoric acid are 2. 15, 6. 82 and 12. 38, at what ph would one observe equal amounts of h2po4- and hpo42-?

Answers

Answer: https://homework.study.com/explanation/if-the-pk-a-values-for-phosphoric-acid-are-2-15-6-82-and-12-38-at-what-ph-would-one-observe-equal-amounts-of-h-2-po-4-and-hpo-4-2.html

Explanation:

website to the answer lol

4. How is water drained from homes, offices and commercial buildings? Describe the various paths of both grey water and black water.

Answers

The answers include the following:

Water is drained from homes, offices and commercial buildings through pipes that carry wastewater into underground collection systems.The various paths of both grey water and black water is almost the same but the major difference is that the former comes from all other parts of the building except toilet while the latter comes from only toilet.

What is Drainage?

This is referred to as the different types of methods which could be natural or artificial and employs the removal of excess water from a certain area or place.

Water in homes is drained through larger pipes which carry it into collection systems so as to prevent the risk of pollution and contamination of other areas.

Grey water path doesn't involve wastewater from the toilet while the black water comes from only the toilet which is why they were chosen as the correct choice.

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Task
01
Perform a literature
survey to find out the methods of simulating general aerofoil shape
including experimental and numerical techniques. Student may use
about 2000 words (± 10%) to elaborate

Answers

The methods of simulating general aerofoil shape include experimental techniques such as wind tunnel testing, and numerical techniques such as Computational Fluid Dynamics (CFD) simulations.

Simulating general aerofoil shapes involves both experimental and numerical techniques. Experimental methods include wind tunnel testing, where scaled-down models of the aerofoil are tested in controlled airflow to measure aerodynamic forces. Numerical techniques, such as Computational Fluid Dynamics (CFD) simulations, involve solving fluid flow equations on a computer to analyze flow characteristics and aerodynamic forces. CFD simulations are cost-effective, flexible, and can handle complex aerofoil shapes, but require accurate modeling and validation. A combination of experimental and numerical methods enhances our understanding of aerofoil aerodynamics and helps optimize their design.

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What do you understand by the terms radial node and nodal plane, as applied to AO wavefunctions? Illustrate your answer using the 2s and 2p AOs. Explain why radial nodes arise from the radial part of the wavefunction, whereas nodal planes arise from the angular part of the wavefunction

Answers

In the context of atomic orbital (AO) wavefunctions, the terms "radial node" and "nodal plane" refer to different aspects of the wavefunction's behavior.

A radial node is a region in the AO wavefunction where the probability of finding an electron is zero along the radial direction. In other words, it represents a spherical shell where the electron is unlikely to be found. The number of radial nodes is determined by the principal quantum number (n) of the orbital. For example, the 2s orbital has one radial node, while the 2p orbital has no radial nodes.

On the other hand, a nodal plane is a flat plane within the AO wavefunction where the probability of finding an electron is zero along a particular direction. It represents a surface that divides the orbital into two regions of opposite phases. The number of nodal planes is determined by the angular quantum numbers (l and m) of the orbital. For example, the 2s orbital has no nodal planes, while the 2p orbital has one nodal plane (the xz or yz plane).

Radial nodes arise from the radial part of the wavefunction because they depend on the distance from the nucleus. The radial part determines the distribution of the electron density as a function of distance, and the nodes correspond to regions where the density drops to zero.

On the other hand, nodal planes arise from the angular part of the wavefunction because they depend on the orientation and shape of the orbital. The angular part describes the angular distribution of the electron density around the nucleus, and the nodal planes correspond to regions where the phase of the wavefunction changes sign.

In summary, radial nodes are related to the distance from the nucleus and arise from the radial part of the wavefunction, while nodal planes are related to the orientation and shape of the orbital and arise from the angular part of the wavefunction. The 2s orbital has one radial node and no nodal planes, while the 2p orbital has no radial nodes and one nodal plane.

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how many grams of alcl3 are produced when 355 ml of 1.65 m hcl solution are reacted with excess al according to the reaction?

Answers

According to the reaction, when 355 ml of 1.65 m Hydrochloric acid solution are combined with too much aluminum, 26.03 g of aluminum chloride is created.

An inorganic substance with the formula AlCl3 is aluminum chloride, also referred to as aluminum trichloride. It takes the form of [Al(H2O)6] hexahydrate. Aluminum chloride is ALCl3, which is composed of six water molecules. Aqueous hydrochloric acid, also referred to as muriatic acid, is a type of hydrochloric acid. It is a colourless solution with an overpowering odor. Strong acid is how it is categorized.

2 Al(s) + 6 HCl is the given reaction. ———-> 2 AlCl3 + 3H2

Using the provided data

The amount of HCl in moles is n= Volume * Concentration = 0.58575 mol (1.65 M * 355 ml)/1000 ml

based on the response,

It takes 6 mols of HCl. To neutralize 2 moles of aluminum, 0.58575 mol of hydrochloric acid must be used.

using the cross-multiplication method, 0.19525 moles are obtained by multiplying 0.58575% by 2/ 6.

Weight of the AlCl3 = 0.1952 moles * 133.340538 g/mol = 26.03 g

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The number of unpaired electrons in a nitrogen atom is

Answers

Answer:

3

Explanation:

A nitrogen atom has 3 unpaired electrons

motion and forces lab test






Question
If a simple machine reduces the strength of a force, what must be increased?
Responses

the distance over which the force is applied
the distance over which the force is applied

the work the simple machine performs
the work the simple machine performs

the size of the simple machine
the size of the simple machine

the speed of the input force

Answers

This a simple machine reduces the strength of a force, the distance over which the force is applied must be increased or the work performed by the simple machine must be increased in order to maintain the same amount of work output.

A simple machine is a mechanical device that helps to make work easier by changing the direction or magnitude of a force. Some examples of simple machines include levers, pulleys, inclined planes, and wheels and axles. In general, simple machines can be used to either increase or decrease the amount of force required to do a task, but they cannot create energy or work.

When a basic machine diminishes a force's strength, the distance across which the force is applied must be extended to make up for the force loss. This is so because the amount of work a force does is equal to the force multiplied by the distance it is applied over. As a result, if a basic machine reduces the force, the distance across which it is applied must be raised to keep the same amount of work.

As an alternative, more work can be done by the basic machine to make up for the force reduction. Increasing the size of the simple machine or the input force's speed will accomplish this. Nevertheless, it is crucial to note that increasing the work performed by the simple machine may also require more energy input, which could negate the benefits of using the simple machine in the first place.

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Medium fine steel wool has a strand diameter of 0.002 inch. If 100 g of this steel wool were burned, what mass of iron oxide would you expect to be produced?

Answers

To determine the mass of iron oxide produced when 100 g of medium fine steel wool with a strand diameter of 0.002 inch is burned, we need to calculate the percentage of iron in the steel wool, and then use stoichiometry to determine the mass of iron oxide produced.

Assuming that the steel wool is made entirely of iron, the percentage of iron in the steel wool is 100%. We can then calculate the mass of iron in the steel wool by multiplying the total mass by the percentage of iron:

Mass of iron = 100 g x 100% = 100 g

Next, we need to use the balanced chemical equation for the combustion of iron:

4Fe + 3O2 → 2Fe2O3

From the equation, we can see that 4 moles of iron react with 3 moles of oxygen to produce 2 moles of iron oxide.

The molar mass of iron is 55.845 g/mol, and the molar mass of iron oxide (Fe2O3) is 159.69 g/mol.

Using the mole ratio from the balanced chemical equation, we can calculate the moles of iron oxide produced:

Moles of Fe2O3 = (2/4) x (100 g / 55.845 g/mol) = 0.714 mol

Finally, we can use the molar mass of iron oxide to calculate the mass of iron oxide produced:

Mass of Fe2O3 = 0.714 mol x 159.69 g/mol = 113.97 g

Therefore, when 100 g of medium fine steel wool with a strand diameter of 0.002 inch is burned, we would expect to produce 113.97 g of iron oxide

Is science based on observations? Explain how observations are important for experiments.

Answers

Answer:

Yes, the basis for science and its theories are always built upon observations.

Explanation:
Everything begins with an observation.
As is it with science, scientist look to nature and try to decode it secrets and law upon which it is built, For which scientific method is used and within that the first step is one must make observation of the phenomenon that is under study.
Hope that answers that!

The nutritional energy content (in Calories) present in 86g of broccoli with 6g of carbohydrates, 2.6g of protein, and 0.3g of fat is __________.

Answers

Answer:

37.1 calories.

Approximately, 37.1 = 40 calories.

Explanation:

So, without mincing words let's dive straight into the solution to the question above.

We are given the following parameters which are going to help in solving this particular Question.

The mass of broccoli = 86g of broccoli, mass of carbohydrates present = 6g of carbohydrates, the mass of protein present = 2.6g of protein and the mass of fat present = 0.3g of fat.

Therefore, the nutritional energy content (in Calories) = (6 × 4) + (2.6 × 4) + (0.3 × 9) = 10.4 + 24 + 2.7 = 37.1

Hence, the nutritional energy content (in Calories) = 37.1 calories.

Approximately, 37.1 = 40 calories.

1. A gas at 24.0 Celsius and.900 atm fills a 0.95 Liter container.
What is its ending pressure (in atm) if the temperature changes
to 75 Celsius? Show all your work.

Answers

Answer:

P₂ = 1.05 atm

Explanation:

Given data:

Initial temperature = 24.0 °C (24+273 = 297 K)

Initial pressure = 0.900 atm

Final pressure = ?

Final temperature = 75 °C (75 + 273 =348 K)

Volume = constant

Solution:

According to Gay-Lussac Law,

The pressure of given amount of a gas is directly proportional to its temperature at constant volume and number of moles.

Mathematical relationship:

P₁/T₁ = P₂/T₂

Now we will put the values in formula:

0.900 atm / 297 K = P₂/348 K

P₂ = 0.900 atm × 348 K / 297 K

P₂ = 313.2 atm. K /297 K

P₂ = 1.05 atm

how many iron atoms are there in 5.33 mol of iron(iii) chloride

Answers

Answer:

The formula shows that there is one atoms of iron in each formula unit of FeCl3, and by definition the number of molecules or formula units in a mole is Avogadro's Number. Therefore, 5.33 moles contains 5.33 X Avogadro's Number of atoms, which is 3.21 X 1024 atoms, to the justified number of significant digits.

Answer:

The formula shows that there is one atoms of iron in each formula unit of FeCl3 , and by definition the number of molecules or formula units in a mole is Avogadro's Number . Therefore , 5.33 moles contains 5.33 X Avogadro's Number of atoms , which is 3.21 X 1024 atoms , to the justified number of significant digits .

What changes occur in the reaction indicated by the equation? check all that apply. the hydrogen nucleus loses protons. the oxygen nucleus gains protons. the bond in h2 is broken, and new bonds are formed between hydrogen and oxygen atoms. each electron associated with a hydrogen atom is shared with an oxygen atom.

Answers

The changes occur in reaction are the bond in H₂ is broken, and new bonds are formed between hydrogen and oxygen atoms.

What is hydrogen bond?

Hydrogen bond is a type of chemical bond which is formed between the hydrogen atom and more electronegative atom due to high dipole interaction.

Given chemical reaction is:

2H₂ + O₂ → 2H₂O

In the above reaction hydrogen nucleus not loses proton inspite of that it was broken and new bond formation takes place in water.

Despite the fact that oxygen atoms attract electrons from hydrogen atoms, oxygen atoms do not gain electrons.

In the water molecule each electron of both hydrogens is shared with an oxygen atom.

As a result, in the preceding equation, the hydrogen molecule's bond is broken, a new bond is formed, and each hydrogen atom's electron is shared with an oxygen atom.

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Answer:

c and d on edge 2022

Explanation:

Oxalic acid (98%) is a polyprotic acid. It has a density of 1.65 g/cm^3 and a melting point of 189.5°C. Oxalic acid has a molecular mass of 90.03 g/mol and with a pka1 of 5.62 x10^-2. What volume of oxalic acid must be added to sufficient water to give a 1.500 liter solution that is 0.300 F (in formal concentration)?

Answers

Approximately 24.55 cm^3 of oxalic acid must be added to sufficient water to give a 1.500 liter solution with a formal concentration of 0.300 F.

To find the volume of oxalic acid needed to make a 1.500 liter solution with a formal concentration of 0.300 F, we need to use the equation:

Formal concentration (F) = (moles of solute) / (volume of solution in liters)

First, we need to calculate the moles of oxalic acid required. The formal concentration (F) is given as 0.300, so:

0.300 = (moles of oxalic acid) / 1.500

Rearranging the equation, we find:

moles of oxalic acid = 0.300 * 1.500

moles of oxalic acid = 0.450

Next, we can calculate the mass of oxalic acid needed using its molecular mass:

mass of oxalic acid = moles of oxalic acid * molecular mass

mass of oxalic acid = 0.450 * 90.03

mass of oxalic acid = 40.5145 g

Finally, we can calculate the volume of oxalic acid needed using its density:

volume of oxalic acid = mass of oxalic acid / density

volume of oxalic acid = 40.5145 g / 1.65 g/cm^3

volume of oxalic acid = 24.55 cm^3

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The human body can breath in over 6.70 x 10^22 molecules of oxygen (O₂) a second. How many liters is this, if you are at STP?

Answers

The volume that is occupied is 22.4 L

What is the definition of the mole?

The mole allows for the conversion of the mass of a substance to the number of entities it contains, and vice versa, through the use of its molar mass, which is the mass of one mole of the substance. The mole is a convenient unit for expressing amounts of substances in chemical reactions, as it provides a way to relate the mass of a substance to its number of entities, such as atoms or molecules.

If one mole of oxygen contain 6.02 * 10^23 moles

x moles would contain 6.70 x 10^22 molecules

x = 1 mole

Then the volume that is occupies is 22.4 L

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how many atoms are in 7.2mol of sodium? step by step answer

Answers

Answer:

4.34 times 10^24

Explanation:

number of atoms=7.2 times Avogadro's number

                           =7.2 times 6.02 times 10^23

                           =4.34 times 10^24

Answer:

Explanation: we will multiple the amount of moles to the Avogadro's number for example:                                                                                                        

                                     7.2*6*10 to the power 23

What is the relationship between the amount of sugar added and the amount of CO2 gas produced?

A. there is no relationship between amount of sugar added and carbon dioxide gas/size of balloon.

B. if more sugar is added, more carbon dioxide gas is produced, making the balloon larger

C. if more sugar is added, less CO2 gas is produced, making the balloon smaller

Answers

B.If more sugar is added,more carbon dioxide gas is produced,making the ballon larger

Suppose you have an unknown material that has the following properties: waterproof, rigid, and hard. The material is also brittle. Light passes easily through this material. Based on those properties, predict what the function of the material might be.

Answers

The ability of a solid substance to deform when subjected to tensile stress is known as ductility function of the material might be.

Ductility, elastic stiffness, plasticity, strain, strength, toughness, viscoelasticity, and viscosity are all factors that affect hardness. In contrast to soft matter, common examples of hard matter include ceramics, concrete, certain metals, and super-hard materials.

Titanium is one. Silver in colour, titanium is a beautiful transition metal. Titanium alloys can sustain temperatures as high as 600°C and have a high tensile strength to weight ratio, exceptional toughness, amazing resistance to corrosion, and good toughness.

Three often encountered engineering stresses are tensile, compressive, and shear stress. Forces that are applied longitudinally might also result in bending stress. The item bends upward or downward in this situation because all forces are acting in the same direction.

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What are the chemical compounds of neon and argon?​

Answers

Answer:

Silica.

Explanation:

Argon fluorohydride or argon hydrofluoride is an inorganic compound with the chemical formula HArF. It is a compound of the chemical element argon.

Neon is a very inert element, however, it has been reported to form a compound with fluorine. It is still questionable if true compounds of neon exist, but evidence is mounting in favor of their existence.

What is the formula for an ionic compound that is composed of potassium and oxygen?

Answers

Answer:

Ty for free points :)

Explanation:


which of the following methods is used to obtain
colored light from a filament lamp?
A. additive
B. subtractive
C. multiplicative
D. divisible I

Answers

The method used to obtain colored light from a filament lamp is additive. A filament lamp is a device that emits white light when it's turned on. However, the light can be made to appear colored by using a technique called additive color mixing. In this method, colored filters are used to filter the white light emitted by the filament lamp. The colored filters absorb some of the light wavelengths and allow others to pass through. When different colored filters are used, the colors of the light that passes through them combine to produce a new color. This method is called additive because the colors of light are added together to produce a new color.

The correct option is A. additive.

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If Jonny buys 6 shirts and every shirt is 20% off but the normal price is $20.00. how much will Jonny pay in total? Write a paragraph that describes where DNA is found inside cells and how it is packaged. According to the United States Department of Agriculture (USDS), people living in the U.S. consumed211,219,000,000 pounds of dairy in 2018. Of the amount consumed, 12,408,000,000 pounds were inthe form of cheese.*Part A: Based on the information above, what percentage of diary consumed in 2018 was fromcheese? Round to the nearest tenth of a percent.O 2.5%5.9%58.7%O 17.0% Tetap Teguh is currently operating at 78% capacity. Currently, total assets are RM49,800 and current sales are RM56,300. What is the firm's full capacity sales? HElp meeeexplain how to do this also A car is worth $15,000 when it is 1 year old, and it is worth $11,000 when it is 3 years old.A. Write the value of the car, V (in dollars), as a function of the age of the car, a (in years). Assume this is a linear function.B. How much does the car depreciate in value each year?C. How much was the car worth when it was first purchased? 1. When a physician orders medication for pediatric patients, why must adaptations be made for the person's age?2. Why is it important to weigh and measure pediatric patients at each medical visit?3. Why is nonverbal communication so important when dealing with pediatric patients? Solve 2x < 10. Explain how to find the solution set. during the brotish colonia rule india gained independence by... Researchers often use a method called an experiment in order to study the causes of human and animal behavior. Design such an experiment based on a change in behavior you have observed in yourself or your roommates this past semester (e.g., eating or sleeping habits, exercise regime, game playing, etc.). Select a behavior that you are particularly interested in studying, and then design the experiment to investigate a possible cause of that behavior. Address the following questions.What is the hypothesis you will test in your experiment?What are the independent and dependent variables?Who will be the subjects or participants in your study?What are the experimental and control group conditions? Here, you may assume that you have the resources necessary to conduct your experiment and that you can control, or manipulate, the environment of your subjects as necessary. For example, suppose your hypothesis is as follows: Higher levels of stress from a heavy course workload increase eating activity. Assume that you have the ability to control the workload, etc., of your subjects.How will you assign your subjects to groups?What are the possible results of your study, and what might these results indicate about your hypothesis?In a multi-paragraph essay, describe your experiment and explain how you will conduct this experiment to test your hypothesis. Be sure to propose your hypothesis, and then describe the independent and dependent variables, the experimental and control conditions, the subject or participant groups, and the conclusions you can draw based on the results of your experiment. Include information from class materials and readings to support your discussion. Is there anything I should know before taking my drivers training test?! how is frequency polygon different from a frequency curve? draw the two diagram taking an imaginary set of data. What did enlightenment thinker Cesare beccaria argue about crime and punishment?(Please help) Which of the following best describes the movement of enslaved Africans to the U.S. colonies? The comparative advantage can also be demonstrated with agents rather than countries. Lets say that Angela Merkel and her husband live in a world in which Merkel has not retired yet, and they need only two goods, chancellorship for Germany and academic physics papers. Angela Merkel is a politician and a physicist, she can produce policies for Germany at a cost of 80 hours work, and physics papers at the cost of 90 hours work. Her husband is not a politician, so his cost of producing policies for Germany is high (120 hours). He is a chemist rather than a physicist, so he is also worse at writing physics papers, but his education is close enough, he can write a paper within 100 hours.They both have a budget of 1000 work hours left before retirement (i.e. Merkel has 1000h and her husband also has 1000h). As in real life, it is possible to produce imperfect policies and working papers rather than peer-reviewed articles (e.g., 1.45 policies and 1.9 papers). If they trade optimally, how much do they each produce?Merkel produces ____ policies and ____ papers.Her husband produces ___ policies and ____ papers. Help me, please!! Annabelle used a protractor to measure the angle below. Is Annabelle using the protractor correctly? Explain your answer. If Annabelle is using it incorrectly, explain to her how to use it correctly. What is the relationship between pressure and depth? The circumference of a circle can be found by multiplying Pi by the diameter True False Solve the following 0-1 integer programming model problem by implicit enumeration.Maximize 4x1+5x2+x3+3x4+2x5+4x6+3x7+2x8+3x9Subject to3x2+x4+x53x1+x21x2+x4-x5-x6-1x2+2x6+3x7+x8+ 2x94-x3+2x5+x6+2x7- 2x8+ x9 5x1,x2,x3,x4,x5,x6,x7,x8,x9 {0,1} Drag each label to the correct location. Not all labels will be used.The dimensions of a rectangular section of forest land are 5.5 105 meters and 4.2 104 meters. Complete the following sentences.