consider the following polymer sample: number of molecules mass of each molecule (micrograms) 5 10,000,000 10 5,000,000 25 800,000 50 1,000,000 100 2,000,000 compute the weight average molecular weight of this sample to 3 significant figures.

Answers

Answer 1

The weight average molecular weight of the given polymer sample is 1.41 x 107 µg/mol (rounded to 3 significant figures).

Weight average molecular weight (Mw) is a way of determining the distribution of molecular weights in a polymer sample. It gives more emphasis to larger molecules in the sample. The formula for weight average molecular weight is: Mw = (ΣNiMi) / ΣNi where Ni represents the number of molecules of a particular molecular weight, and Mi represents that molecular weight.

To calculate the weight average molecular weight of the given polymer sample, we need to first calculate the product of the number of molecules and their mass for each molecular weight: 50 × 1,000,000 = 50,000,000100 × 2,000,000 = 200,000,00025 × 800,000 = 20,000,00010 × 5,000,000 = 50,000,0005 × 10,000,000 = 50,000,000Next, we need to calculate the sum of all the Ni values: Ni = 50 + 100 + 25 + 10 + 5 = 190.

Finally, we can use the formula to calculate the weight average molecular weight: Mw = (50,000,000 + 200,000,000 + 20,000,000 + 50,000,000 + 50,000,000) / 190Mw = 1.41 x 107 µg/mol (rounded to 3 significant figures).

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Related Questions

4. Diffrection Jtudies involving X-rays, electrons or Neutrons pire informetion about crystillographic properties of Solids. Compare these three techniques with reference to particle energies and types of information that ean be obtained. Which technique is most appropriate for studying surface Crystallography? Which technigue is used to determine mapnetic structure?

Answers

Neutron diffraction, on the other hand, is commonly used to determine magnetic structures in materials due to the interaction of neutrons with magnetic moments.

X-ray diffraction, electron diffraction, and neutron diffraction are commonly used techniques to study the crystallographic properties of solids.

Here's a comparison of these three techniques in terms of particle energies and types of information obtained:

X-ray Diffraction:

Particle Energy:

X-rays have high energy in the electromagnetic spectrum.

Information Obtained:

X-ray diffraction provides information about the arrangement of atoms within a crystal lattice, crystal symmetry, interatomic distances, and crystal plane orientations.

It is widely used for structural determination of crystalline materials.

Surface Crystallography:

X-ray diffraction is suitable for studying the bulk crystal structure and is less appropriate for surface crystallography due to the low penetration depth of X-rays in materials.

Electron Diffraction:

Particle Energy:

Electrons can have high energies (e.g., in electron microscopy) or low energies (e.g., in electron diffraction experiments).

Information Obtained:

Electron diffraction can provide detailed structural information about crystals, including crystal symmetry, lattice parameters, and atomic arrangement.

It is particularly useful for studying small crystals, nanostructures, and thin films.

Surface Crystallography:

Electron diffraction can be used to study surface crystallography, as electrons can penetrate the surface layers of materials.

Neutron Diffraction:

Particle Energy:

Neutrons have intermediate energy levels.

Information Obtained:

Neutron diffraction provides information about atomic positions, magnetic moments, and magnetic structures of materials.

It is particularly sensitive to light elements and can be used to determine the positions of hydrogen atoms in crystal structures.

Surface Crystallography:

Neutron diffraction is less commonly used for surface crystallography due to the limited penetration depth of neutrons in materials.

For studying surface crystallography, electron diffraction is generally the most appropriate technique due to its ability to penetrate surface layers and provide detailed structural information at the nanoscale.

Neutron diffraction, on the other hand, is commonly used to determine magnetic structures in materials due to the interaction of neutrons with magnetic moments.

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The electricity that powers your home is generated by a coal-burning power plant, and you drive a gasoline-powered car. You decide to halve your electric bill by turning off all lights and appliances when you do not need to use them. You also decide to walk or ride your bicycle rather than drive to do errands in your neighborhood. Evaluate the effect that these actions might have on two different aspects of the carbon cycle if every person in your neighborhood also performed them.

Answers

Answer:

The extent of carbon emission to the atmosphere will reduce thereby decreasing the amount of carbon that is released into the atmosphere in the carbon cycle if we all use bicycles instead of driving around our neighborhood.

If we choose to turn our appliances off, less coal is extracted and burnt to generate energy thereby also reducing the extent of carbon dioxide emission.

Explanation:

The carbon cycle may be defined as all the sequence of processes that involve the interconversion of carbon compounds to various species in nature. It refers to process such as; incorporation of carbon dioxide into living tissue by photosynthesis and ingestion of organic matter by animals, its return to the atmosphere through respiration, the decay of dead organisms, and the burning of fossil fuels.

Fossil fuels are generally a very important source of energy. Both gasoline and coal are fossil fuels. The disadvantage of fossil fuels is that the use of fossil fuels increases the concentration of CO2 gas returned to the atmosphere as part of the carbon cycle. This increased CO2 level in the atmosphere leads to greenhouse effect and global warming.

If I and all my neighbors decide to turn off our appliances when they are not in use, less energy is consumed and less coal is burnt for energy thereby reducing the amount of carbon dioxide that is emitted back to the atmosphere in the carbon cycle.

Similarly, if we all ride bicycles while running errands around our neighborhood, less gasoline is burnt as fuel and less carbon dioxide is emitted back into the atmosphere in the carbon cycle.

If less carbon dioxide is emitted into the atmosphere, less carbon dioxide will be available for photosynthetic organisms to take in and this may affect the primary productivity along the food chain. Since plants act as a carbon dioxide sink nature, less carbon dioxide emission will imply less photosynthesis

Which contains more atoms; 1mol H2O2, 1mol C2H6, or 1mol CO?

Answers

Answer:

C2H6 has the greatest amount of atoms.

Explanation:

Sodium bicarbonate, commonly known as baking soda , lemon juice and water are three household chemicals used for cooking. Which statement about the chemicals is correct?

Answers

Sodium bicarbonate, lemon juice, and water are three commonly used household chemicals for cooking.


Sodium bicarbonate, also known as baking soda, is a common ingredient in baked goods, as it helps to leaven dough and create a lighter texture. Lemon juice is often used in cooking to add a sour or acidic flavor to dishes, and can also be used as a natural cleaning agent. Water is a crucial ingredient in many recipes and is used for a variety of cooking methods, including boiling, steaming, and poaching. All three of these household chemicals are versatile and widely used in cooking. However, it is important to note that while these chemicals are safe for consumption in small amounts, they should always be handled with care and used in accordance with their intended purposes.

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balance equations a sample of barium sulfate (bas o 4 ) is placed on a piece of paper, which is then ignited. barium sulfate reacts with the carbon (c) from the burned paper producing barium sulfide (bas) and carbon monoxide (co). write a balanced equation for this reaction.

Answers

The balanced equation for the reaction of barium sulfate with carbon from burned paper producing barium sulfide and carbon monoxide is:

\(BaO_{4}S\) + 4C(s) → BaS(s) + 4CO(g)

Word equation from \(BaO_{4}S\)(s) + 4C(s) → BaS(s) + 4CO(g) is

Barium Sulfate + Carbon = Barium Sulfide + Carbon Monoxide

One mole of Bаrium Sulfаte [BаO4S] and four moles of Cаrbon [C] reаct to form one mole of Bаrium Sulfide [BаS] аnd four moles of Cаrbon Monoxide [CO]

How To Balance \(BaO_{4}S\) + C= BaS + CO?

1. Lаbel eаch compound (reаctаnt or product) in the equаtion with а vаriаble to represent the unknown coefficients.

a \(BaO_{4}S\) + b C= c BaS + d CO

2. Creаte аn equаtion for eаch element (C, Bа, O, S) where eаch term represents the number of аtoms of the element in eаch reаctаnt or product.

Ba: 0a + 1b = 1c + 0d

C: 1a + 0b = 0c + 1d

O: 0a + 4b = 0c + 1d

S: 0a + 1b = 1c + 0d

3. Simplify the result to get the lowest, whole integer values.

a = 1 (\(BaO_{4}S\))

b = 4 (C)

c = 1 (BaS)

d = 4 (CO)

4. Count the number of аtoms of eаch element on eаch side of the equаtion аnd verify thаt аll elements аnd electrons (if there аre chаrges/ions) аre bаlаnced.

\(BaO_{4}S\) + 4 C = BaS + 4 CO

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How many grams of carbon are contained in one mole of C3H8? (Report your
answer to two places past the decimal point. Moodle is looking for a number
only, no units.)

Answers

There are 44 grams of carbon contained in one mole of C3H8. Details about mass can be found below.

How to calculate mass?

The mass of a substance can be calculated by multiplying the number of moles of a substance by its molar mass.

According to this question, one mole of propane (C3H8) was given.

Molar mass of C3H8 = 12(3) + 1(8) = 44g/mol

Mass of C3H8 = 44g/mol × 1 = 44g

Therefore, there are 44 grams of carbon contained in one mole of C3H8.

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the half-life of the radium isotope ra-226 is approximately 1,599 years. what percent of a given amount remains after 800 years? round your answer to two decimal places.

Answers

The half-life of the radium isotope ra-226 is approximately 1,599 years. After 800 years, the remaining amount of the isotope is 70.71% of its initial quantity.

The decay formula is given by:

N(t) = No . (1/2)^(t/T)

Where:

N(t) = remaining quantity of the substance at time t

No = initial quantity

t = elapsed time

T = half-life

In the given problem:

t = 800 years

T = 1599 years

Therefore,

N(t) = No . (1/2)^(800/1599)

N(t) = 0.7071 No

N(t)/No = 0.7071 = 70.71%

Hence, the remaining amount of the isotope is 70.71%

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Why can't a cell stop normal processes during interphase

Answers

It has to increase in size and make extra proteins to get ready for division.

A thirsty woman opens the refrigerator and picks up a cool canned drink at 40°R. Do you think the can will sweat" as she enjoys the drink in a room at 80°F and 50 per- cent relative humidity?

Answers

Yes, the can will sweat in the given conditions.

When a cold object comes in contact with a warm, humid environment, it causes the air around the object to cool down, leading to condensation of water vapor from the air onto the surface of the can. This process is known as sweating. The temperature difference between the can and the surrounding air, along with the relativehumidity, determines the amount of condensation. In this case, the temperature of the can is lower than the room temperature, and the relative humidity is high enough to cause the can to sweat.

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A student is trying to classify an unidentified, solid gray material as a metal or a nonmetal. Which question will best help the student classify the material?.

Answers

Whether it conducts heat or electricity,if it is attracted by a magnet , high density high melting point

The question that will best help the student to classify the material is; "is the material malleable or ductile?"

Generally, materials can be classified as metals or non metals. There are properties that are particular to metals and there are properties that are particular to nonmetals and these properties can be used to identify each one of the materials.

The question that will best help the student to classify the material is; "is the material malleable or ductile?" These metallic properties.

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Missing parts;

A student is trying to classify an unidentified, solid gray material as a metal or a nonmetal. Which question will best help the student classify the material? A. Is the material malleable or ductile? B. Does the material feel hard to the touch? C. Will the material float in water? D. Does the material feel rough or smooth?

The ____________________ contain chlorophyll and make food from light energy.

Answers

Answer:

chloroplasts

Explanation:

Answer:

photosynthesis (i am not sure of answer choces, but this is the answer

Explanation:

Green plants have the ability to make their own food. They do this through a process called photosynthesis, which uses a green pigment called chlorophyll. ... Chlorophyll's job in a plant is to absorb light—usually sunlight. The energy absorbed from light is transferred to two kinds of energy-storing molecules. I also remember this from Science.

PLZ TELL ME IF RIGHT, 5 STAR AND BRAINLEST ONLY IF RIGHT

The pressure of the H2 gas is increased in the cathode compartment.
The emf of the cell will increase.
The emf of the cell will decrease.

Answers

The effect of increasing the pressure of H2 gas in the cathode compartment on the electromotive force (emf) of the cell depends on the type of cell being considered.

In a hydrogen fuel cell, where hydrogen is oxidized at the anode and combined with oxygen at the cathode to produce water, increasing the pressure of H2 gas in the cathode compartment will have no direct effect on the emf of the cell. The emf of a hydrogen fuel cell is primarily determined by the redox reactions occurring at the anode and cathode, as well as the electrochemical potentials of those reactions. Therefore, increasing the pressure of H2 gas in the cathode compartment will not cause a change in the emf of the cell. On the other hand, if we consider a concentration cell, where the emf is based on the difference in concentration between the anode and cathode compartments, increasing the pressure of H2 gas in the cathode compartment would result in an increase in the emf of the cell. This is because the increased pressure would cause a higher concentration of H2 gas in the cathode compartment, leading to a greater concentration gradient between the anode and cathode compartments and thus an increased emf.

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What is a hydrocarbon and examples?

Answers

A hydrocarbon is a substance made up of carbon and hydrogen atoms. These are the most basic biological substances, and they are widely distributed in nature, especially in fossil fuels like coal, oil, and natural

Organic substances known as hydrocarbons are made up of hydrogen and carbon atoms. They are the most basic kind of organic molecules and come in solids, liquids, and gases, among others. In nature, hydrocarbons are widely distributed and serve as the main building blocks of fossil fuels including coal, oil, and natural gas. They are also widely utilised in industry as fuels, solvents, and raw materials for the creation of compounds like as polymers and rubber. Alkanes, alkenes, alkynes, and aromatic hydrocarbons are a few of the numerous forms of hydrocarbons, each having distinct characteristics and applications. Methane, propane, benzene, and octane are a few typical hydrocarbons.

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what do I write? Please hurry

what do I write? Please hurry

Answers

Answer:

I'd say Water

Explanation:

The plant absorbs more water through the roots not sure if i'm correct.

What is the speed of a car that travels 1000 m in 45 seconds?

Answers

Answer:

80,000km/h

Explanation:

Answer: 12.5 hope this is right.

Explanation:

In a metallic bond, electrons _____.

⚪ are shared
⚪ move from a high energy level to a low energy level within one atom
⚪ are completely transferred between bonded atoms
⚪ move freely between the clouds of several atoms

Answers

Answer:

They move freely between the clouds of several atoms, si the correcto Answer is D

Explanation:

Hope this helps.

Identify the hybrid orbitals used by the bolded atom in acetone (CH3COCH3). a) sp3 b) sp2 c) sp d) dsp3 e) d2sp3

Answers

The hybrid orbitals used by the bolded atom in acetone (CH₃COCH₃) are sp2 (Option B).

Hybrid orbitals result when atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. The wave functions combine through a process called hybridisation. The central carbon atom is bonded to three other atoms: two carbon atoms and one oxygen atom. It has a double bond with the oxygen atom and single bond with the two carbon atoms. This arrangement corresponds to a trigonal planar geometry, which means the hybrid orbitals used by the central carbon atom in acetone are sp2.

Thus, the correct option is B (sp2).

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Most of earths fresh water is in glaciers

True or false

PEASE HELPP

Answers

Answer:

True

Explanation:

answer is TRUE!!!

Explanation:
Most of oceans are salt water.
BUT lakes, ponds, springs, glaciers, etc are fresh water

Why is there so much heat released following a combination reaction

Answers

Answer: When a combination reaction occurs between a metal and a non-metal the product is an ionic solid.

Explanation: Another hint(s): When magnesium burns in air, the atoms of the metal combine with the gas oxygen to produce magnesium oxide. This specific combination reaction produces the bright flame generated by flares.

Select the most likely product for this reaction: upper k subscript 2 upper c upper o subscript 3 (a q) plus upper c upper o subscript 2 (g) right arrow question mark. k2co3(aq) h2o(l) k(s) h2(g) o2(g) k(s) co3(g) h2

Answers

The most likely product for this reaction will be A. K2CO3(aq) + H20(l).

What is a chemical reaction?

It should be noted that a chemical reaction simply means a process where one or more substance which are known as the reactants are converted to another substance which is the product.

In this case, the most likely product for this reaction will be K2CO3(aq) + H20(l). It should be noted that the products are the result of the chemical reaction that is gotten from the reaction. It's the rearrangement of the reactants.

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Answer:The most likely product for this reaction will be A. K2CO3(aq) + H20(l).

Explanation:

.Which of the following is false regarding Polymerase Chain Reaction (PCR)?a. PCR requires a heat-resistant DNA polymerase like Taq polymerase.b. Approximately one billion copies of the target sequence are synthesized.c. Three primers hybridize to the DNA sequence.d. PCR is performed in a test tube, or in vivo.

Answers

The false statement regarding Polymerase Chain Reaction (PCR) is: Three primers hybridize to the DNA sequence.

So, the correct answer is C.

In reality, PCR typically uses only two primers that bind to the complementary sequences of the target DNA. These primers flank the target region, allowing the DNA polymerase, such as the heat-resistant Taq polymerase, to amplify the specific target sequence.

PCR is an in vitro technique, performed in a test tube, and can generate up to one billion copies of the target sequence through multiple cycles of heating and cooling, which facilitate DNA denaturation, primer annealing, and elongation by the DNA polymerase.

Hence, the answer of the question is C.

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What does it mean when a cell is multicellular? I only have 5 minutes so please help.

What does it mean when a cell is multicellular? I only have 5 minutes so please help.

Answers

Multicellular organisms are composed of more than one cell, with groups of cells differentiating to take on specialized functions. In humans, cells differentiate early in development to become nerve cells, skin cells, muscle cells, blood cells, and other types of cells.

Identify the variables in the investigation: An investigation was done with an electromagnetic system made from a battery and wire wrapped around a nail. Different size nails were used. The number of paper clips the electromagnet could pick up was measured.

Answers

Answer:

Independent: sizes of nails

Dependent: number of paper clips

Controlled: Battery, wire and type of nails

Explanation:

An independent variable is a variable which when changes does not the effect the results of the experiment. It does not depends upon the dependent variable.

A dependent variable is defined as a variable which is affected when the independent variable is changed by the researcher or the experimenter. It depends greatly upon the independent variable.

While a controlled variable is that variable whose value is not changed in an experiment. It contains all the constants.

In the context,

the independent variable are : sizes of nails

the dependent variables are : number of paper clips

the Controlled variables are: Battery, wire and type of nails

Will give brainliest (idk how to spell) ;-;
The atomic mass of one atom of an element is determined by the number of

protons only
protons and electrons
protons and neutrons
neutrons only

Answers

Answer:

#2 bro

Explanation:

Answer: protons and electrons

Explanation: :)

What is the percent of chloride ion in a sample if 2. 500 g of the sample produces 1. 750 g of agcl when treated with excess ag⁺? report your answer to two decimal places.

Answers

The percent of chloride ion in a sample if 2. 500 g of the sample produces 1. 750 g of agcl when treated with excess ag⁺ is 17.2 percent.

What is mass percent?

The ratio of the mass of the solute contained in a solution to the mass of the solution as a whole is known as the mass percent.

Explanation:

Given:

Mass of sample = 2. 500 g

Mass of AgCl = 1. 750 g

The percent of chloride ion in a sample is calculated as,

Molar mass of AgCl = 143.32 g/mol

\(Molar mass of Chlorine atom = 35.45 g/mol\)

Assume that all of the sample's chlorine has precipitated into silver chloride. As a result, the amount of chlorine in silver chloride will match the amount of chlorine in the sample.

First we have to find mass of chlorine,

\(In 143.32 g of silver chloride, mass of chlorine present is 35.45 gSo, in 1.3487 g of silver chloride, mass of chlorine present will be =35.45g/143.32 g * 1.750 g = 0.43 g\)

Therefore, the percent of chloride ion in a sample is

\(Mass of pure chloride compound = 2.500 gMass of chlorine = 0.43 g%Chlorine = 0.43/2.5 *100%Chlorine = 17.2 %\)

Hence, the percent of chloride ion in a sample is \(17.2%\) percent.

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What are indicators? How methyl orange and phenolphthalein changes their colour in acidic and basic solutions? How litmus paper changes its colour in different solutions?

Answers

Answer:

See the answer below

Explanation:

In chemistry, indicators are substances that are capable of changing colors with respect to the pH. Each indicator has its characteristic color in acidic pH and another characteristic color in alkaline pH.

Methyl orange indicator appears red in acidic solution and yellow in basic solutions. Phenolphthalein is usually colorless in acidic solutions and appears pink in basic solutions. A red litmus paper will turn blue in alkaline solutions while a blue litmus paper will turn red in acidic solutions.

Explain HOW this chemical reaction is NOT balanced correctly.

SiF4 + 2 H2O --> H4SiO4 + 2 H2SiF6

Answers

Answer: there is more atoms of each element on the right.

Explanation:

On the left of the arrow you have:

Si-1

F-4

H-4

O-2

On the right of the arrow you have:

Si-3

F-6

H-8

O-4

A balanced equation always has the same amount of each element on the left of the arrow (the reactants) as the right (the products). This isn’t balanced because you have a lot more of each element on the right.

The given chemical reaction should not be balanced correctly because there are more atoms of every element on the right.

Why it is not the chemical reaction?

On the left of the arrow you have:

Si-1

F-4

H-4

O-2

Now

On the right of the arrow you have:

Si-3

F-6

H-8

O-4

We know that when the chemical equation should be balanced so the reactants and the products contains the same numbers. Due to this, it is not a balanced chemical reaction.

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(02.07 MC
As you move down group one of the periodic table, what happens to the atomic radil? (4 points)

Answers

Answer:

It increases

Explanation:

The atomic radii increases because you are adding more shells/electrons

What will happen to the gas molecules in the container as thermal energy is applied?.

Answers

When a thermal energy is applied to a container of gas the volume of the gas will increase

Heating a gas makes its atoms and molecules move faster and that way increases the kinetic energy of the particles causing the gas expansion and the increase of its volume and pressure.

Otherwise when the thermal energy is removed, the atoms or molecules start to move slower and become denser until the substance condenses.

Common examples of  kinetic energy due to thermal energy are: rubbing the hands, baking in an oven, boiling water, when the seat of the car are heated.

What is kinetic energy?

It is the energy possessed by a body due to its relative motion. It is usually expressed in Joules (J).

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Which ideas held by the ancient Greeks have been at least partially supported by scientific experiments, calculations, and observations made throughout history?

Answers

The ideas held by the ancient Greeks have been at least partially supported by scientific experiments include:

Light is a wave or disturbance that travels through spaces in the air.Light is a substance carrying particles that flow from a light source.

What is Wave-particle duality?

This is a phenomenon in which a quantum entity can be referred to as a wave or a particle.

An example is light which has this feature and has been severally proven through series of experiments such as photoelectric effects etc.

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A reaction between liquid reactants takes place at 10.0C in a sealed, evacuated vessel with a measured volume of 35.0L. Measurements show that the reaction produced 28g of dinitrogen difluoride gas. Calculate the pressure of dinitrogen difluoride gas in the reaction vessel after the reaction. You may ignore the volume of the liquid reactants. Who is responsible for investigating potential wrong-doing by federal officials assigned to any of the executive departments and their respectiveagencies and bureaus?The General Services Administrationthe inspector generalthere is no oversight of federal officialsthe attorney general 15 point reward + brainliest to correct answer You want to start a needs analysis process with a prospect and find the prospect resists your attempts by telling you the following: "look, this simply just takes up time I do not have!" What would you do? a. start to ask probing questions b. continue with the process as you know best c. keep the prospect happy and suggest the most popular product you sell d. explain why you think a needs analysis process would benefit the prospect in the long term e. tell the customer you need to do a needs analysis questionnaire before head office approves the order Evaluate the indefinite integral.dx/(16+x2)2=You have attempted this problem 1 time. Your overall recorded score is0%. You have unlimited attempts remaining. 1.Did the Australian culture impact Starbucks results? How?2. How could marketers address or even overcome these issues?3. To succeed in the future, who should be Starbucks target audience in Australia? Describe the target customer using: Age, Gender, Lifestyle, Social Class, and Income. Which definition best describes militarism?A) A policy of maintaining a large armyB) A policy of peaceful coexistenceC) A partnership formed between nationsD) A policy of isolation from foreign relations This is the architectural plan for a fenced-in garden.The shaded region represents an area for trees.How long is the fence around the edge of the garden?(Do not include the edge around the tree region.) Convert the heat of neutralization of acetic acid from -49,8 kj/mmol to calories permillimole and ROUND TO ONE DECIMAL PLACE (1 cal = 4.184 J)DO NOT INCLUDE UNITS Point P is located 2/5 of the distance from W to Z. Point W is located at (-5, -2) and point P is located at (1, 4). What are the coordinates of point Z? When firms engage in FDI by buying a supplier or customer, theyare engaged in what?A} Product life cycle expansionB} Vertical integrationC} Greenfield investmentD} Horizontal integration the area of the parallelogram ABCD in which AB=6.2 and perpendicular from C to AB is 5cm is 1. What is 47% of 268? As the concentration of molecules outside a cell increases, more molecules will enter the cellbecause write a statement that assigns the variable d a dictionary that contains one element. the element's key should be the string 'answer' and the element's value should be the integer 42 n the selection from Life on the Mississippi, what main character flaw does Twain reveal in himself as a boy? A. lack of imagination B. dishonesty C. laziness D. envy (ports) Let F - (0x*x+389 +8+)i + (30 + 3242) J. Consider the tre interact around the circle of radius a, centered at the origin and traversed counter tal Fed the line integral fore1 integra (b) For w What is the amplitude and the period of the function y=2 sin x? GUYS HELP IM SO CONFUSED give an account of paleys analogical argument and accounts of three of Hume's four obejectives to the teleological argument. Give a brief account of the fine-tuning teleological argument. How do current scientific theories (e.g. exolution and multiverse) challenge the teleological argument?