In the laboratory, a student dilutes 13.5 mL of a 11.6 M hydroiodic acid solution to a total volume of 100.0 mL. What is the concentration of the diluted solution

Answers

Answer 1

Answer: The concentration of the diluted solution is 1.566M.

Explanation:

The dilution equation is presented as this: [tex]M_{s} V_{s} =M_{d} V_{d}[/tex].

·M= molarity (labeled as M)

·V= volume (labeled as L)

·s= stock solution (what you started with)

·d= diluted solution (what you have after)

Now that we know what each part of the formula symbolizes, we can plug in our data.

[tex]11.6M*13.5mL=M_{d} *100mL[/tex]

We cannot leave it like this because the volumes must be in Liters, not milliliters. To convert this, we divide the milliliters by 1000.

[tex]13.5mL/1000=0.0135L[/tex]     [tex]100mL/1000=0.1L[/tex]

Now that we have the conversions, let's plug them into the equation.

[tex]11.6M*0.0135L=M_{d} *0.1L[/tex]

The only thing that we need to do now is actually solving the answer.

[tex]M_{d} =\frac{11.6M*0.0135L}{0.1L}[/tex]       [tex]M_{d} =1.566M[/tex]

From the work shown above, the answer is 1.566M.

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Related Questions

given 3.5M and 10.5ml of zn(oh)2 find the molarity of nitric acid given 15.0 ml of nitric acid

Answers

10.5 milliliters of 3.5 M zinc hydroxide react completely with 15.0 milliliters of 4.9 M nitric acid.

What is molarity?

It is a unit of concentration equivalent to moles of solute per liter of solution.

Step 1: Write the balanced equation.

Zn(OH)₂ + 2 HNO₃ ⇒ Zn(NO₃)₂ + 2 H₂O

Step 2: Calculate the reacting moles of Zn(OH)₂.

10.5 mL of 3.5 M Zn(OH)₂ react.

0.0105 L × 3.5 mol/L = 0.037 mol

Step 3: Calculate the reacting moles of HNO₃.

The molar ratio of Zn(OH)₂ to HNO₃ is 1:2.

0.037 mol Zn(OH)₂ × 2 mol HNO₃/1 mol Zn(OH)₂ = 0.074 mol HNO₃

Step 4: Calculate the molarity of HNO₃.

[HNO₃] = 0.074 mol / 0.0150 L = 4.9 M

10.5 milliliters of 3.5 M zinc hydroxide react completely with 15.0 milliliters of 4.9 M nitric acid.

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"Deka" is a decimal unit prefix in the metric system, denoting a factor of
Select one:
a. 10
b. 100
c. 1,000
d. 10,000

Answers

Answer:

10

Explanation:

Deca or deka is a decimal unit prefix in the metric system denoting a factor of ten. For example, DECAGON is a 10-sided polygon (10-gon).

A. 10

Deka- is a combining form used like a prefix meaning “ten.” It is primarily used in the names of metric units to indicate that the measure is ten times the size of the unit denoted by the base word.

according to kinetic molecular theory, which of the following would not be considered an ideal gas

Answers

Answer:

A gas at very low volumes, when gas particles are very close together

A gas at very low temperatures, when gas particles have very little kinetic energy

A gas with highly polar molecules that have very strong inter-molecular forces

Explanation:

The Kinetic Molecular Theory:

particles in a gas are in constant, random motioncombined volume of the particles is negligibleparticles exert no forces on one anotherany collisions between the particles are completely elasticaverage kinetic energy of the particles is proportional to the temperature in kelvins

RM / NV / NF / EC / ET

Although none of the assumptions provided in the molecular theory of gases are strictly correct, they are fair enough for modeling some systems. It is an idealized approach of real systems. The fundamental presumptions are nearly identical to those of an ideal gas.

The most logical of the hypotheses is that of elastic collisions. Since gas molecules are treated as perfectly hard spheres in Newton's equations and elastic collisions, there is no energy lost in compressing the gas molecules during a collision.

For bulk, light gases at moderate temperatures and low to moderate pressures, it is acceptable to assume that there is an attractive force between the gas and the container wall. Since the walls of the containers only account for a minor portion of collisions in macroscopic quantities, they can typically be disregarded. Only until the gas's total density exceeds the kinetic energy do forces between its particles start to become significant. For light gases like He and straightforward diatomic gases, the kinetic energy of the gas molecules far outweighs the intramolecular interactions at normal temperatures.

But in a complete way of the KM theory being described:

The microscopic characteristics of atoms (or molecules) and their interactions, which result in observable macroscopic qualities, are described by the kinetic molecular theory of matter (such as pressure, volume, temperature). The idea may be used to explain why matter exists in distinct phases (solid, liquid, and gas), as well as how matter can transform between these phases.

The three states of matter are: As we transition from the solid to the gaseous phase, you'll notice that the distance between atoms or molecules widens.

According to the kinetic molecular theory of matter,

Particles that make up matter are continually moving.Every particle has energy, however the amount of energy changes with the temperature of the sample of matter. Thus, whether the material is in a solid, liquid, or gaseous form is determined. The least energetic molecules are those in the solid phase, whereas the most energetic particles are those in the gas phase.The average kinetic energy of the particles in a material may be calculated from its temperature.When the particles' energies are altered, the phase of the particles may vary.Matter atoms are separated by gaps. As a sample of matter transitions from the solid to the liquid and gas phases, the average amount of vacant space between molecules increases.Atoms and molecules interact by attraction forces, which intensify as the particles draw closer to one another. Intermolecular forces are the name for these pulling forces.How does kinetic molecular theory affect gases?

According to the Kinetic Molecular Theory, gas particles collide in an elastic manner and are always in motion. Only absolute temperature directly affects a group of gas particle's average kinetic energy.

Part I of How the Kinetic-Molecular Theory Explains Gas Behavior.

If the volume is kept constant, the faster gas molecules collide with the container walls more frequently and more violently, raising the pressure according to Charles' law.

Answer:

See below

Explanation:

Gas at LOW PRESSURE or high temperature with little or no intermolecular forces would be closest to ideal gas behavour.

why do metals tend to lose electrons to form positive ions?

Answers

Answer:

metals tend to lose electrons to form positive ions because they have more protons than electrons.

1. If 2000 L of hydrogen gas at a pressure of 90.0 kPa is compressed into a cylinder with a volume of 100 L while keeping the temperature constant, what pressure will the gas exert
in the cylinder?

Answers

Answer:

1800 pascal

Explanation:

p1v1 = p2v2

p1v1/v2 = p2

90 * 2000 / 100 = p2 = 1800 pascal  

An empty plastic or glass dish being removed from a microwave oven can be cool to the touch, even when food on an adjoining dish is hot. How is this phenom- enon possible?

Answers

Answer:

See explanation

Explanation:

Microwaves work by flipping water molecules upside down, then right side up again, and so on at very high speeds, and the friction generates heat. Some glass or plastic isn't affected by the microwaves, so the molecules don't get flipped, and so no friction occurs and no heat is produced, leading to the dish not being heated up.

What term or terms correctly describes the following pair? Look at the picture pls

Answers

Answer:

Different elements

Explanation:

The variable, the bottom number, and the top number all reveal something about each other. The number at the bottom is the element's atomic number, and because both of these pairs have different atomic numbers, they are different elements in general.

Magnesium has an HCP crystal structure, a c/a ratio of 1.635, an atomic weight of 24.305 g/mol, and a density of 1.74 g/cm3. Compute the atomic radius for Mg.

Answers

Atomic radius is1.349*10-23

hcp unit cell you can see that that the spheres touch each other along

so 2rMg = a where rMg is the radius of a Mg ion and = 0.6745*10^-23

There are three levels of atoms in the hcp structure.

Six atoms form a hexagonal arrangement in the top and bottom layers, while a seventh atom sits in the centre of the hexagonal arrangement.

Three atoms in the intermediate layer are tucked away in the top and bottom plane's triangular grooves.

Mg hcp c/a = 1.635

hcp is close-packed example ABABAB etc

V = sin(60)*a*a*1.635 a

V = 1.635 *0.866*a^3

V = 1.887*a^3 cm3

Z = 2 (atoms inside unit cell)

Mass inside unit cell is = (2 * 24.305)/(6.022*10^23) = 8.071*10^-23 g

D =M/V

1.74 = 8.071*10^-23/1.887*a^3

a^3 = 8.071*10^-23/1.887*1.74 = 2.458*10^-23

a = 1.349*10^-23

Hence Atomic radius is 1.349*10^-23

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g at constant temperature, a sample of helium at 2 atm in a closed container was compressed from 5.00 L to 3.00 L. what was the new pressure exerted by the helium on its container

Answers

The new pressure exerted by helium on its container is 2533.33 torr.

Boyle's law: For a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional. so PV= constant.

At constant temperature and moles,

P1V1 = P2V2.

The original sample is at 2atm torr and volume 5.00 L and then helium gas was compressed to 3.00 L

∴ P₁V₁ = P₂V₂

 (2× 760 torr)(5.00 L ) = (3.00 L )(x torr),

 x = 2533.33 torr.

 P₂ = 2533.33 torr.

Therefore, the new pressure exerted by helium on its container is 2533.33 torr.

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A rock formed with 2,000 atoms of a radioactive parent element, but only contains 500 radioactive parent atoms today. If the half-life for the radioactive element is one million years, how old is the rock

Answers

Answer:

2 million years

Explanation:

500/2000 = 1/4, meaning the sample decayed to 1/4 of its original amount. From this, we can conclude that 2 half lives have passed.

In the problem, we are given one half life is 1 million years. Multiplying this by 2, we get that 2 half lives is 2 million years.

Explain how the experimental molecular mass would have been affected (too high, too low or unchanged) if the mass of the flask had been measured with condensed vapor and residual water on the outside. Please support your answer.

Answers

If the flask already has water, your measure is going to be higher than expected and MW is going to be higher too.

At first sight, we need to assume 1 atm as atmospheric pressure, probably forgot to write down this value in the Lab. By doing this, we got all values to calculate the MW.

So, for trial 1:

MW = [0.36 g x (0.082 atm x L / K x mol) x 301 K] / (1 atm x 0.125 L) = 71.08 g/mol

Trial 2:

MW = [0.38 g x (0.082 atm x L / K x mol) x 301 K] / (1 atm x 0.125 L) = 75.53 g/mol

Average MW = 73.31 g/mol

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If a person is spending 10 lakh rupees per second how many years will take to spend one mole rupees​

Answers

Answer:

A person spends Rs. 10,000 per second.

In one year, he will spend = Rs. (10,000 x 3600 x 24×365) = Rs. 3.1536 x 10^11

1 mole rupees = Rs. 6.022 x 10^23

So it will take approximately 1.91 x 1012 years to spend 1 mole rupees.

Explanation:

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A solution initially has a [Ca2+] = 0.100 M and [Ba2+] = 0.100 M Sulfate ion (SO42-) is being added to selectively precipitate out the Ba2+ ions and leave behind the Ca2+ ions. (The barium ions will start to precipitate out first because barium sulfate is less soluble than calcium sulfate.) BaSO4 Ksp = 1.07 x 10-10 CaSO4 Ksp = 7.10 x 10-5 Assume that somehow the sulfate ion is being added in a manner that does not change the volume of the solution significantly.

a) At what concentration of sulfate ion would the Ca2+ begin to precipitate out as calcium sulfate?

b) At that concentration of sulfate ion what would be the concentration of Ba2+ ion?

Answers

The concentration of sulfate ion would be required for Ca⁺ to begin to precipitate out as calcium sulfate is 7.10 * 10⁻⁴ M.

b) The concentration of the Ba²⁺ ion would be 9.929 * 10⁻² M

What concentration of sulfate ion would be required for Ca⁺ to begin to precipitate out as calcium sulfate?

The precipitation of calcium sulfate occurs when the ionic product, Kip is greater than or equal to the solubility product, Ksp of calcium sulfate.

Kip ≥ Ksp  

a) The equation of the dissociation of CaSO₄ is given below:

CaSO₄ ⇄ Ca²⁺ + SO₄²⁻

Ksp = [Ca²⁺] * [SO₄²⁻] = 7.10 * 10⁻⁵

Kip = [Ca²⁺] * [SO₄²⁻]

[SO₄²⁻] = Kip/[Ca²⁺]

[Ca²⁺] = 0.100 M

For precipitation to occur;

Kip = Ksp = 7.10 * 10⁻⁵

[SO₄²⁻] = 7.10 * 10⁻⁵/0.100

[SO₄²⁻] = 7.10 * 10⁻⁴ M

Therefore, the concentration of sulfate ion would be required for Ca⁺ to begin to precipitate out as calcium sulfate is 7.10 * 10⁻⁴ M.

b) The concentration of the Ba²⁺ ion would be;

0.100 M - 7.10 * 10⁻⁴ M = 9.929 * 10⁻² M

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A 8.06 g piece of solid CO2 is allowed to sublime in a balloon. The final volume of the balloon is 1.00 L at 300.0 K. What is the pressure of the gas

Answers

Answer: The pressure of the gas is 4.4334atm.

Explanation:

The ideal gas law for pressure is shown as: [tex]P=\frac{nRT}{V}[/tex].

~n=number of moles (mol)

~R=ideal gas constant=[tex]0.0821\frac{L*atm}{mol*K}[/tex]

~T=temperature (K)

~V= volume (L)

We are not given the number of moles, but we can find that with the grams of CO₂ that we were given. This is also better because we have the compound as well, making it easier to find its molar mass on the periodic table.

[tex]8.06gCO_{2} *\frac{1molCO_{2} }{44.009gCO_{2} }=0.18molCO_{2}[/tex]

Now we are ready to plug our given information into the formula for the ideal gas law of pressure.

[tex]P=\frac{0.18mol*0.0821\frac{L*atm}{mol*K}*300K }{1.00L}[/tex]     [tex]P=4.4334atm[/tex]

Given the work above, the pressure of the gas is 4.4334 atmospheres.

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A slow reaction speeds up when a chemical is added.
When the reaction is complete, it is found that the
added chemical has not changed in any way. Using
the collision theory, explain this phenomenom.

Answers

The collision theory explains this outcome since when the reaction is complete reactant particles can not interact and therefore the reaction does not occur.

What is the collision theory?

The collision theory is a well sustained theory used in chemistry that states reactions are caused by the collision of particles that form their molecules.

This theory (collision theory) may result very useful to explain the rate of change in a given chemical reaction.

In conclusion, the collision theory explains this outcome since when the reaction is complete reactant particles can not interact and therefore the reaction does not occur.

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what is a chemical germicides that has been formulated for use on the skin and is registered and regulated by the food and drug administration? milady barbering

Answers

Antiseptics is a chemical germicides that has been formulated for use on the skin and is registered and regulated by the food and drug administration.

Chemical germicidesA chemical or chemical combination used to eradicate microorganisms. Any procedure that removes and/or kills microorganisms is referred to as decontamination. The same phrase is also used to remove or neutralize radioactive materials, toxic compounds.A germicide is a substance that may eliminate microorganisms, particularly harmful ones (sometimes known as "germs"). Antiseptics and disinfectants are both considered germicides. Disinfectants are antimicrobials solely administered to inanimate items, whereas antiseptics are germicides applied to live tissue and skin.

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The pressure in car tires is often measured in pounds per square inch (lb/in.2), with the recommended pressure being in the range of 25 to 45 lb/in.2. Suppose a tire has a pressure of 38.5lb/in.2 . Convert 38.5lb/in.2 to its equivalent in atmospheres.
Express the pressure numerically in atmospheres.
38.5lb/in.2 = atm

Answers

Answer:

2.62 atm

Explanation:

1 atm = 14.6959 psi

38.5 / 14.6959 = 2.62 atm

The r value of the yellow dye = 0.60 the distance moved by the yellow dye = 5.7 cm calculate the distance moved by the solvent

Answers

The distance moved by the solvent is 9.5 cm.

Calculation:

Given,

Rf value of yellow dye = 0.60

Distance moved by yellow distance = 5.7 cm

To calculate,

Distance moved by the solvent =?

We know that the Rf value in chromatography is calculated as:

Rf = distance moved by the solute/ distance moved by the solvent

Putting the given values in the above formula, we get

0.60 = 5.7/ distance moved by solvent

Distance moved by the solvent = 5.7/0.60

Distance moved by solvent = 9.5 cm

What is the Rf value?

The ratio of the analyte's (solute) distance traveled to the solvent front on a chromatogram is known as the retention factor (Rf) value.

When using mobile solvents, analytes move differently depending on the type of chromatographic procedure used to transfer them to the stationary phases. The differences between analytes' affinity for stationary and mobile solvents are what cause this difference. The longer an analyte is in place, the lower its Rf value will be, and vice versa, depending on its relative affinity with a stationary phase.

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Calculate the pH of a solution that is 0.175M benzoic acid and 0.190M sodium benzoate, a salt whose anion is the conjugate base of benzoic acid.

Answers

4.235 is the pH of a solution that is 0.175M benzoic acid and 0.190M sodium benzoate, a salt whose anion is the conjugate base of benzoic acid.

What is Henderson Hasslbalch Equation ?

According to Henderson Hasslbalch Equation to calculate the pH of a solution is expressed as

[tex]pH = pK_{a} + \log \frac{[\text{Congujate base}]}{[\text{Weak acid}]}[/tex]

Benzoic acid (C₆H₅COOH) and its conjugate base is Benzoate (C₆H₅COO⁻) are considered as acidic buffer.    

Kₐ for benzoic acid = 6.3 × 10⁻⁵

So, pKₐ = -log Kₐ

             = - log [6.3 × 10⁻⁵]

             = 4.2

Now put the value in above expression we get

[tex]pH = pK_{a} + \log \frac{[\text{Congujate base}]}{[\text{Weak acid}]}[/tex]

[tex]pH = pK_{a} + \log \frac{C_6H_5COONa}{C_6H_5COOH}[/tex]

     [tex]= 4.2 + \log \frac{0.190}{0.175}[/tex]

     = 4.2 + 0.035

     = 4.235

Thus from the above conclusion we can say that 4.235 is the pH of a solution that is 0.175M benzoic acid and 0.190M sodium benzoate, a salt whose anion is the conjugate base of benzoic acid.

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A thin sample of X is put between metal plates. A radio-frequency electric current is applied to the plates and passes through the sample. From the measured voltage across the plates the value of E may be calculated.
Is this a physical or chemical property ?

Answers

The value of E determined as shown in the question is a chemical property.

What are chemical property?

A chemical property has to do with the chemical changes that occur in a substance. Now we know that The value E refers to how easily a substance could accept or loose electrons.

Thus, the value of E determined as shown in the question is a chemical property.

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how the various concentrations of acid will affect the amount of limestone that is dissolved from each jar.

Answers

The explanation of the how the various concentrations of acid will affect the amount of limestone has been given below.

Effects of acid rain on limestone:-

When an acid combines with a carbonate, it produces carbon dioxide as a gas and forms a salt that is soluble in the carbonate and acid's water.There are several gases in the atmosphere that can dissolve in precipitation such as rain and snow.Some may produce acids in rain water, such as carbonic acid, sulfuric acid, and nitric acid.Because the concentration is modest, the rain is not highly acidic, but it is acidic enough to react with the carbonates that make up limestone.

Thus we discussed the affects of acid rain on limestones above.

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What is the pH and pOH of a 1.2 x 10 M HBr solution?

Answers

-log(1.2x10^-3) = 2.92 = pH

14 - 2.92 = 11.08 = pOH

socratic

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Archimedes principle states that the buoyant force on an object is equal to the blank of the fluid displaced by the object

Answers

False. The principle states that the buoyant force on an object is equal to the weight of the fluid displaced by the object.

What is Archimedes' principle?

It is a theory propounded by Archimedes. It opines that a floating body is acted upon by a buoyant force.

The buoyant force is the same as the weight of the fluid displaced by the floating body.

Thus, instead of saying 'the buoyant force is equal to the blank of the fluid displaced', it is actually 'the buoyant force is equal to the weight of the fluid displaced'.

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Which statement is true if the AHrxn of a reaction is positive?

Answers

∆H of a reaction is positive

Means the reaction is emitting energy in terms of product Hence the reaction is exothermicThe energy is given to the surroundings

How many moles are present
in 3.25 x 1024 atoms P?

Answers

Answer:

5.40 moles ( to 3 signif digits )

Explanation:

ONE mole is Avagadro's Number   6.022 x 10^23  atoms/mole

3.25 x 10^24 atoms / (6.022 x10^23 atoms/mole ) = 5.396 moles ~ 5.40 moles

What is the minimum volume of 5.50 M HCl necessary to neutralize completely the hydroxide in 718.0 mL of 0.183 M NaOH

Answers

The volume of HCl required is 23.89 mL

Calculation of volume:

The reaction:

[tex]HCl + NaOH \rightarrow NaCl + H_2O[/tex]

As HCl and NaOH react in 1 : 1 ratio.

Volume of NaOH= 718 mL

Concentration= 0.183M

Volume of HCl= ?

Concentration= 5.50M

Using the dilution formula:

[tex]M_1\times V_1(NaOH)= M_2\times V_2(HCl)[/tex]

[tex]0.183\times 718= 5.50 \times V_2\\V_2=\frac{131.394}{5.50} \\V_2 = 23.89 \,mL[/tex]

Therefore,

Volume of HCl required will be 23.89 mL.

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Which of the following statements is one
of the postulates in Dalton's atomic
theory?
a. All elements are composed of atoms.
b. Most elements are composed of atoms.
c. Some elements are composed of atoms.
d. Solid elements are composed of atoms.

Answers

Answer:

a. All elements are composed of atoms.

Explanation:

dalton's atomic theory says that Compounds are composed of atoms of more than 1 element. The relative number of atoms of each element in a given compound is always the same. Chemical reactions only involve the rearrangement of atoms. Atoms are not created or destroyed during chemical reactions.

In the bohr model of the hydrogen atom, the energy required to excite an electron from n = 2 to n = 3 is _______________ the energy required to excite an electron from n = 3 to n = 4?

Answers

In the bohr model of the hydrogen atom, the energy required to excite an electron from n = 2 to n = 3 is greater than the energy required to excite an electron from n = 3 to n = 4

Bohr's energy levels:

The essential concept of Bohr's atomic model is that electrons occupy specified orbitals that call for the electron to have a certain amount of energy. An electron needs to be in one of the permitted orbitals and have the correct amount of energy needed for that orbit in order to be in the electron cloud of an atom. An electron would require less energy to orbit near the nucleus, while an electron would need more energy to orbit away from the nucleus. Energy levels are the potential orbits. One of Bohr's models' flaws was that he was unable to explain why just specific energy levels or orbits were permitted.

It is evident that the energy required to escape an electron from n=2 to n=3 is greater than the energy required to exit an electron from n=3 to n=4. This is because as n increases, the energy levels move closer to one another.

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A Calorie unit used in food is equal to the amount of energy necessary to raise the temperature of 1 kilogram of water ________ degrees) Celsius.

Answers

A Calorie unit used in food is equal to the amount of energy necessary to raise the temperature of 1 kilogram of water by 1 degrees Celsius.

What is One Calorie ?

The amount of heat energy required to raise the temperature by 1 gram of water through 1°C is known as One Calorie.

1 Calorie = 4.18 J

Thus from the above conclusion we can say that A Calorie unit used in food is equal to the amount of energy necessary to raise the temperature of 1 kilogram of water by 1 degrees Celsius.

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What is the percent by mass of water in copper (II) sulfate pentahydrate (CuSO4 · 5H4O)? Type in your answer using one decimal place.

Answers

Percentage by mass of water in CuSO4.5H20 is 36.07% .

In this problem we have - copper(II) sulfate pentahydrate and it's molecular formula is (CuSO₄.5H₂O) .

There are 5 molecules of water are present.

Now we calculate it's molar mass-

We know that-

molar mass of Cu = 63.5u

Molar mass of SO₄ = 96 u

Molar mass of H₂O = 18 u

Now, molar mass of (CuSO₄.5H₂O) = 63.5 + 96 + 5 × 18

Now, molar mass of (CuSO₄.5H₂O) = 249.5u

And mass of water in CuSO₄.5H₂O = 90 u

now mass percentage of water = mass of water ÷ Total mass ×100

now mass percentage of water = 90 ÷ 249.5 × 100

now mass percentage of water =  36.07 %

So we find out mass percent by dividing given mass with total mass and then multiplying it with hundred and it came out to be 36.07 % .

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Answer:

36.1

Explanation:

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Which group of european immigrants was forced to settle in colonial america? convicts servants catholics germans Just an easy question for 100 Points!Check my other easy 100 point questions :) In the second half of the 20th century, growth in participation in exercise and sport greatly outpaced population increases. Group of answer choices True False Which value of a in the exponential function below would cause the function to shrink? f(x) = a(three-halves) superscript x which sentence contains a dependent clause? Most ethical challenges trigger both a ________and a(n) _______ response in counselors and counselors-in-training. Solving Quadratic InequalitiesNathan is a product manager for a home security company. Through testing and focus groups, he has modeled the equation P = -(x - 32)2 + 1000 to represent the profit (in thousands) of the price x for a new home security camera. Find the prices in dollars at which Nathan can make a profit of at least $471, 000. Show your work as it is done in the lesson content and include units of measurement.. HINT: Use 471 as part of the inequality you set up, not 471,000. Which is the proper order for applying a rigid splint to an injured wrist that is not bleeding. a. Put the arm in a sling; pad the splint; secure the splint; check the fingers for feeling, warmth and color; secure the arm.b. Secure the splint; check the fingers for feeling, warmth and color; secure the splint; put the arm in a sling; secure the arm.c. Check the fingers for feeling, warmth and color. Pad the splint; apply the splint; secure the splint; put the arm in a sling; secure the arm; check the fingers for feeling, warmth and color.d. Apply the splint; secure the splint; pad the splint; check the fingers for feeling, warmth and color; put the arm in the sling; secure the arm. Assets A and B each have an expected return of 10 percent. Asset A has a standard deviation of 12 percent while Asset B has a standard deviation of 13 percent. Which asset would a rational investor choose write about your favourite item that isnt expensive but means alot to you Bazman is an electronics retailer and provided the following select financial data (assume income statement items are for the full year): ($ in millions) December 31, 2020 Gross profit $140 Operating expenses 78 Accrued expenses 19 Prepaid wages 15 Depreciation & amortization expense 12 Prepaid rent 5 Stock based compensation expense 4 Other comprehensive income 5 Tax rate 25% Net income 41 Based on the information provided, what was operating income during 2020? Until whats the differ Between monotheism and polytheism Your washer has power of 450 watts, and your dryer has a power of 3000watts. How much energy do you use to clean a load of clothes in 1 hour ofwashing and 1.5 hours of drying?OA. 3.11 x 107 JOB. 1.78 x 107 JOC. 5.17 x 10 JOD. 2.97 x 10 J Identify the correctly constructed ALTER TABLE statement to add a UNIQUE constraint to the column user_number with the constraint name user_number_unique on the table called 'user'. What are two reasons why the US government sent expeditions into the Louisiana Territory in the 1800s?The government wanted to learn about the strength of the French military in the area.At that time, many Americans traveled there to search for gold and precious stones.At that time, Americans knew very little about the geography of the area.The government wanted to establish friendly ties with American Indians there.The government wanted to prepare for a coming war against Great Britain.ResetNext Compare and contrast (From White Supremacy to Barak Obama...) with (How the Republican Part Went from Lincoln to Trump) and then write down a key theme (one from each video) about political parties. See if you can highlight key events and how each party responded to some of the different "party system" eras mentioned Which of the following statements are true? Select all that apply. Read the folowing dialogue carefully. Then answer the following question.Pablo: Hola, me llamo Pablo.Luisa: Me llamo Luisa. Mucho gusto. Cmo ests?Pablo: Bien, gracias. Y t?Luisa: Muy bien, gracias. Hasta luego.Pablo: Adis.Decide if the following statement is True or False.Luisa and Pablo are glad to meet each other.TrueFalse A firm can produce 1,000 bushels of wheat per year with two workers or 1,300 bushels of wheat per year with four workers. The marginal product of the 4th worker is _____ bushels. {Hint: Find the formula for MP.] Use AABC to find the value of cos A(Please use photo provided)