A 2.5-liter sample of a gas has 0.30 mole of the gas. If 0.15 mole of the gas is added, what is the final volume of the gas? Temperature and pressure remain constant. 3.4 liters 3.8 liters 4.2 liters 4.7 liters

Answers

Answer 1

Answer:

3.75 ltrs

Explanation:

A 2.5-liter Sample Of A Gas Has 0.30 Mole Of The Gas. If 0.15 Mole Of The Gas Is Added, What Is The Final
Answer 2

The final volume of the gas is 3.8L.

What is volume?

Volume is the quantity of space occupied by a liquid, solid, or gas.

Using Avogadro's law.

Avogadro's Law:

According to Avogadro's law an equal volumes of all gases, at the same temperature and pressure, have the same number of molecules. For a given mass of an ideal gas, the volume and amount (moles) of the gas are directly proportional if the temperature and pressure are constant.

V₁/n₁=V₂/n₂

Where V₁ = initial volume

            V₂ = final volume

             n₁ = initial amount of gas in moles

             n₂ = final amount of gas in moles

Avogadro's Law explains when the temperature and pressure are kept constant, volume is directly proportional to gas amount in moles, which means when the volume increases, the amount of gas also increases.

V ∝ n

V₁/n₁ = V₂/n₂

V₁ = 2.5L, V₂ = ?, n₁ = 0.30 mol, n₂ = 0.45 mol

substituting the above values in the equation,

2.5L/0.30 mol = V₂/0.45 mol

                      V₂ = 1.125/0.30 mol

                       V₂ = 3.8L

Hence, 3.8L is the final volume of the gas.

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Related Questions

Below are 5 sets of potential solutes for you to compare. Both members of each pair are very soluble in water. If you had equal molar concentrations of each solution, which member of each pair would theoretically be the better conductor of electricity?
A. CsCl, CaCl2.
B. CaS, Li2S.
C. KBr, AlCl3.
D. AlCl3, MgC2.
E. KI, K2S.

Answers

Answer:

Option D. AlCl₃, MgC₂

Explanation:

We need to dissociate all the salts, to determine the i. (Van't Hoff factor).

The salt who has the highest value, will be the better conductor of electricity

CsCl  → Cs⁺  +  Cl⁻   i = 2

CaCl → Ca²⁺ +  Cl⁻   i = 2

CaS → Ca²⁺ +  S⁻²    i = 2

Li₂S → 2Li⁺  +  S⁻²    i = 3

KBr →  K⁺  +  Br⁻       i = 2

AlCl₃ →  Al³⁺ + 3Cl⁻   i = 4

MgC₂  →  Mg²⁺  +  2C⁻   i = 3

KI  →  K⁺  +  I⁻     i = 2

K₂S  →  2K⁺  + S⁻²   i = 3

The biggest i, is in pair D.

Answer:

Look at the Screenshot!!!

Explanation:

Got it right on Odessyware ;) Have a nice day!!!!!

How would you measure the mass and weight of an object?

Answers

Answer:

Weight = mass × earth's gravitational acceleration

Explanation:

Follow the following steps to measure the mass and weight of an object:

Measure the mass of the object using an accurate measuring scale.Multiply the mass of that object with earth's gravitational  acceleration which is approximately 9.8 N/kg

Why does this experiment need a water pump?

Answers

Answer:

because the water/air needs to be pumped out.

Explanation:

hoped this helped! (just give it a 1 star if it didn't)

Magnesium unites completely and vigorously with oxygen to form magnesium oxide, which contains 60% magnesium by weight. If 1.00 gram of magnesium is sealed in a glass tube with 1.00 gram of oxygen, what will be present in the tube after the reaction has taken place

Answers

Answer:

After the reaction, there will 0.60 g of magnesium oxide and 0.25 g of oxygen gas present in the tube

Explanation:

Equation of the reaction between magnesium and oxygen is given as follows:

2Mg(s) + O₂(g) ---> 2MgO(s)

From the equation of reaction, 2 moles of magnesium reacts with i mole of oxygen gas to produce 1 mole of magnesium oxide

molar mass of magnesium is 24.0 g; molar mass of oxygen gas = 32.0 g; molar mass of magnesium oxide = 40.0 g

Therefore 24 g of magnesium reacts with 32 g of oxygen gas

I.00 g of magnesium will react with (24.0 / 32.0) * 1.00 g of oxygen = 0.75 g of oxygen gas.

Therefore, magnesium is the limiting reagent. Once it is used up, the reaction will stop and the excess oxygen will be left in the tube together with the product, magnesium oxide.

mass of excess oxygen = 1.00 - 0.75 = 0.25 g

mass of magnesium oxide formed = (24.0 / 40.0 g) * 1 = 0.60 g

What is the unit charge on each subatomic particles

Answers

Answer:

Protons, Electrons, Neutrons

Explanation:

Neutron: 0 or Neutral

Electron: -1 or Negative

Proton: +1 or Positive

For proton and neutron look at neutr for neutral and p for positive

Answer:

❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

The answer is Protons, Electrons, Neutrons

There is three of them.....

Hope this will help you

❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Explanation:

How does increasing temperature increase the number of reactions

Answers

Answer:

A

Explanation:

the increase in the temperature let's the particles to collide more so it increases the rate of reaction.

Answer:

I think the answer is option A.

Explanation:

Because when the temperature increases, the kinetic enegry increases which creates the effective collisions which lets the chemical to react.

Hope it helps..

show bond formation in magnesium chloride​

Answers

mg has a 2 in its valence shell

it will become mgcl2

. . . .

: Cl -------- Mg ------ Cl :

. . . .

​Ascorbic Acid is a organic compound with formula C6H8O6, originally called Hexuronic Acid. It's a white solid, but impure samples can be yellowish. It dissolves well in water to give mildly acidic solutions. It is a mild reducing agent.

What is the other name of Ascorbic Acid?

Answers

Explanation:

ascorbic acid is lemon

lemon contain ascorbic acid....

it is organic acid.....

For which of the following reactions will a decrease in pressure shift the equilibrium to the left?
A). 2A2 (g) + B2 (g) --> 2A2B (g)

B). 2AB (g) --> A2 (g)+ B2 (g)

C). 2A2F3 (g) --> 4A (g) + 3F2 (g)

D). 2B (s) + 2HA (aq) --> 2BA (aq) + H2 (g)

Answers

Answer: I just took the test, the answer is A.

Explanation:

Two oxides of lead were separately reduced to metallic lead by heating in a current of

i) Mass of yellow oxide taken=3.45g

ii) Mass of brown oxide taken=1.227g
Loss in mass during reduction=16g

Show that the above data illustrate the law of multiple proportions.​

Answers

Answer:

HeyA ❤

Let us consider the mass of oxygen as 1 g.

Mass of lead obtained from yellow oxide = 3.45 g – 0.24 g = 3.21 g

Mass of oxygen = 0.24 g

The mass of lead that combines with 0.24 g of oxygen = 3.21 g

Therefore, mass of lead that combines with 1 g of oxygen = 3.21/ 0.24 = 13.4 g

Mass of lead obtained from brown oxide = 1.227 g – 0.16 g = 1.067

Mass of oxygen = 0.16g

The mass of lead that combines with 0.16 g of oxygen = 1.067 g

Therefore, mass of lead that combines with 1 g of oxygen = 1.067/ 0.16 = 6.66 g

Now, ratio of masses of lead which combines with a fixed mass of oxygen = 13.4 : 6.66

= 2 :1

Thus, masses of lead which combine with the fixed mass of oxygen are in the ratio of (2:1) i.e. small whole numbers.

Hence, the law of multiple proportions is illustrated.

Follow meehhhh Piper ❤

g When a 2.75g sample of liquid octane (C8H18) is burned in a bomb calorimeter, the temperature of the calorimeter rises from 22.0 °C to 41.5 °C. The heat capacity of the calorimeter, measured in a separate experiment, is 6.18 kJ/°C. Determine the ΔE for octane combustion in units of kJ/mol octane.

Answers

Answer:

The correct answer is 5021.25 kJ/mol octane

Explanation:

The heat absorbed by the calorimeter is given by:

heat absorbed = Ccal x ΔT

Given:

Ccal = 6.18 kJ/ºC (heat capacity of calorimeter)

ΔT= Final temperature - initial temperature = 41.5ºC-22.0ºC = 19.5ºC

We first calculate the heat absorbed:

heat absorbed = 6.18 kJ/ºC x 19.5ºC = 120.51 kJ

The change in internal energy (ΔE) is equal to the heat absorbed by the calorimeter. In order to determine ΔE in kJ/mol we have to divide the heat into the number of moles of octane (C₈H₁₈) burned in the calorimeter.

Molecular weight (C₈H₁₈) = (12 g/mol x 8) + (1 g/mol x 18) = 114 g/mol

Moles of C₈H₁₈= mass/molecular weight= (2.75 g)/(114 g/mol)= 0.024 moles

Finally, we calculate ΔE:

ΔE = heat absorbed/moles of octane = (120.51 kJ)/(0.024 mol octane) = 5021.25 kJ/mol octane

Describe the crystallization process as applied in salt preparation

Answers

Explanation:

The principle used in the preparation of these salts is to dissolve

the cystine in an alcoholic alkali solution to which just sufficient

water to effect solution has been added, and, after filtering from

excess cystine, to precipitate the salt by addition of a suitable

indifferent solvent. While various solvents, such as acetone,

ether, or large amounts of alcohol caused precipitations, these were

either oily or amorphous. Only acetonitrile was found to possess

the power of initiating regular crystallization in the salt solutions.

While the solutions of the different salts require different amounts

of the solvent for complete precipitation, a partial substitution of

absolute ether for acetonitrile was found expedient in the case

of the most soluble of the salts, the K salt.

Answer:

It is simply a process of forming crystal.

Explanation:            When salt is heated and dissolve in the liquid mainly water then its called saturated solution. When we further add salt and increase heat in order to dissolve it then it forcibly dissolve in liquid it's called supersaturated solution. After we slowly cool down the temperature then the salt we have put in supersaturated solution arises in the form of crystal. Hence its called crystalization.

What happens to water 100°C as pressure is increased from 0.7 atm to 1.4 atm

Answers

Answer:

Explanation:

The graph shows the phase diagram of water . From it , it is clear that at 100°C water remains in equilibrium with water vapour and at this temperature , the vapour pressure is equal to one  atm . So this must be boiling point of water.

At 0.7 atm pressure , boiling point must have been reduced . So when water is at 100°C , it must have been completely in vapour phase .

Now the pressure is increased to 1.4 atm . In this process of increase of pressure , the water in vapour state must have turned into liquid state as soon as the pressure increases beyond  1 atm . Beyond it its boiling point would have increased above  100°C so it can not remain in gaseous phase . At 1.4 atm , its boiling point would have increased to 110°C or so . Hence it must be in liquid phase because its temperature is below its boiling point at that pressure .

Hence water changes from gaseous phase to liquid phase when pressure changes from 0.7atm to 1.4 atm .

How many moles of ZnCl2 will be produced from 61.0 g of Zn, assuming HCl is excess?

Answers

Answer: 0.938 moles of [tex]ZnCl_2[/tex] will be produced.

Explanation:

To calculate the moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar mass}}[/tex]

moles of zinc:

[tex]\text{Number of moles}=\frac{61.0g}{65g/mol}=0.938moles[/tex]

[tex]Zn+2HCl\rightarrow ZnCl_2+H_2[/tex]

As HCl  is in excess , zinc is the limiting reagent and it limits the formation of product.

According to stoichiometry :

1 mole of Zn produce =  1 mole of [tex]ZnCl_2[/tex]

Thus moles of  Zn produce = [tex]\frac{1}{1}\times 0.938=0.938[/tex] moles of [tex]ZnCl_2[/tex]

Thus 0.938 moles of [tex]ZnCl_2[/tex] will be produced.

You are given a mixture of sand, sugar and sulphur. Give the method you will use to separate the three constituents. ___________

Answers

Answer:

1:put these in sneaker and add water since sulphur is insoluble and the sugar will dissolve and the sand will settle obtain the sulphur

2:filter the mixture of sand and sugar solution to obtain the sand as residue and solution as filtrate

3:using an evaporating dish evaporate sugar solution to saturation not dryness to get crystals.

Which of the following would NOT be a conversion factor for mole to mole calculations for the following reaction: 2Al + 3Cl2 --> 2AlCl3
A: 3 mol Cl2 3 mol Al
B: 2 mol Al 3 mol Cl2
C: 2 mol AlCl3 2 mol Al
D: 3 mole Cl2 2 mol AlCl3

Answers

Answer: A. 3 mol [tex]Cl_2[/tex] 3 mol Al:

Explanation:

Te given balanced chemical equation is :

[tex]2Al+3Cl_2\rightarrow 2AlCl_3[/tex]

According to the stochiometry :

A: 3 mol [tex]Cl_2[/tex] 3 mol Al:

3 moles of chlorine reacts with 2 moles of aluminium

B. 2 mol [tex]Al[/tex] 3 mol [tex]Cl_2[/tex]:

2 moles of aluminium  reacts with 3 moles of chlorine

C.  2 mol [tex]AlCl_3[/tex] 2 mol Al

2 mol of aluminium produces 2 mol of [tex]AlCl_3[/tex]

D. 3 mol [tex]Cl_2[/tex] 2 mol [tex]AlCl_3[/tex]

3 moles of chlorine produces with 2 moles of [tex]AlCl_3[/tex]

Thus the conversion factor not used for mole to mole calculations is  3 mol [tex]Cl_2[/tex] 3 mol Al:

Which of the following choices would have a negative entropy change? A. CaCO3(s)−>CaO(s)+CO2(g)

Answers

Answer: N2(g) + 3H2(g)- >2NH3(g) denotes a negative entropy change.

Explanation:

Entropy is defined as the extent of disorder in a system. The degree of entropy is more in a gas and less in a solid.

Here, 1st reaction produces ammonia from nitrogen and hydrogen. We can see that four moles of gases produces 2 moles of gaseous product. So the degree of disorder in the system is decreasing. So the entropy is also decreasing.

Label the following as either an Element, Compound, or Mixture.

Answers

Answer:

27. Element (Because it contains all same atoms)

28. Compound (It contains atoms held together through chemical bonds)

29. Element (it contains all same atoms)

33. Mixture (It contains different atoms but they are not held together through chemical means)

34. Compound (Different atoms held together through chemical means)

35. Mixture (Mixture of elements and compounds)

30. Element (it contains all same atoms)

31. Mixture (Mixture of elements and compounds)

32. Element (Contain all same atoms although held together through chemical means they are not compounds)

What letter represents the enthalpy of reaction?

Answers

Answer:

Option D. T

Explanation:

Enthalpy change (ΔH) is simply the difference between the heat content of the product (Hp) and the heat content of the reactant (Hr). Mathematically, it is expressed as:

Enthalpy change (ΔH) = Heat of product (Hp) – heat of reactant (Hr)

ΔH = Hp – Hr

From the diagram given above, the difference between the heat content of product and the heat content of reactant is T.

Therefore, the enthalpy change of the reaction is T.

The freezing point of pure chloroform is -63.5°C, and its freezing point depression constant is 4.07°C•kg/mol. If the freezing point of a solution of benzoic acid in chloroform is -70.55°C, what is the molality of this solution? 0.58 m 1.7 m 16 m 17 m

Answers

Answer: The molality of this solution is 1.7 m

Explanation:

Depression in freezing point:

[tex]T_f^0-T^f=i\times k_f\times m[/tex]

where,

[tex]T_f[/tex] = freezing point of solution = [tex]-70.55^0C[/tex]

[tex]T_f^0[/tex] = freezing point of pure chloroform = [tex]-63.5^0C[/tex]

[tex]k_f[/tex] = freezing point constant of benzene = [tex]4.07^0Ckg/mol[/tex]

m = molality

i = Van't Hoff factor = 1 (for non-electrolyte)

[tex]-63.5-(-70.55)^0C=1\times 4.07^0Ckg/mol\times m[/tex]

[tex]7.05=1\times 4.07^0Ckg/mol\times m[/tex]

[tex]m=1.7[/tex]

Thus the molality of this solution is 1.7 m

MARKING BRAINLIEST!! - Chlorine reacts with methane to form gaseous hydrogen chloride and chloromethane according to the following equation: Cl2 (g) + CH4 (g) → HCl (g) + CH3Cl (g) If 100 mL of chlorine reacted with excess methane at constant pressure and temperature, what volume of chloromethane would be formed? Question 7 options: 50, cannot tell from the information provided, 200, 100

Answers

Answer:

100mL of chloromethane

Explanation:

Based on the equation:

Cl₂(g) + CH₄(g) → HCl(g) + CH₃Cl(g)

1 mole of chlorine reacts per mole of methane to produce 1 mole of HCl and 1 mole of chloromethane

Avogadro's law says that equal volumes of all gases, at the same temperature and pressure, have the same number of molecules. Using Avogadro's law we can say of the equation that:

1 mL of chlorine reacts per mL of methane to produce 1 mL of HCl and 1 mL of chloromethane

Because the system stays under constant pressure and temperature.

As 100mL of Cl₂ reacts with excess of CH₄ and 1mL of Cl₂ produce 1mL of CH₃Cl there are produced:

100mL of chloromethane

A 35 gram of saturated solution is distilled out completely. If the solubility of the solute is 110, find the amount of residue solute snd distilled water

Answers

Answer:

3850g

Explanation:

Solubility is the amount of solute dissolved in a solvent.

Solubility is mass of solute÷mass of solvent

The solvent is 35grams

Solute?

Solubility of solute is 110

110=x/35

= 110 × 35

The amount of residue solute is 3850g

If the external vapor pressure is 2.0 atm , what is the vapor pressure of the water at its boiling point?

Answers

Answer:

22

Explanation:

22

Seawater is highly saline, which means it contains large amounts of dissolved salt. When seawater freezes and icebergs form, the water in the iceberg doesn’t take the salt with it. What effect will this phenomenon have on the concentration of salt in the water around the iceberg?

Answers

Answer:

Because the amount of liquid water decreases and the amount of dissolved salt remains constant, the concentration of salt in the liquid water around the iceberg will increase.

Explanation:

Answer:

Because the amount of liquid water decreases and the amount of dissolved salt remains constant, the concentration of salt in the liquid water around the iceberg will increase.

Explanation:

PLATO exact answer

Easyyyyy plz ...................

Permanent hardness of water is caused by dissolved :-
A) CaCl
B) Ca(HCO3)2
C) Mg(HCO3)2
D) NaOH​

Answers

Answer:

The answer is B

Explanation:

Answer:

Hello!

Your answer is B) Ca(HCO3)2!!

Explanation:

Hope this helps you!!

itsMATT04

:>

Which statement accurately describes a light-year

Answers

Answer:

B. distance light travels in a year

got it on edge :)

The statement which accurately and best describes a light-year is the total distance which light travels in a complete year

What is velocity of light?

Velocity of light can simply be defined as that fundamental constant that represents the speed of electromagnetic radiation in a vacuum.

The velocity of light = 2.9979 × 10^10cm/s

So therefore, the statement which accurately and best describes a light-year is the distance which light travels in a complete year

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When the name of ions end with ide, is it true that they are all negative ions

Answers

Yes, from all the examples I can think of
Negative: Chloride, Bromide, Iodide
Positive: Sodium, Silver, Mercury

Name the hydro carbon.... I really need your help guyz

Answers

Answer:

The given hydrocarbon is Butanol

For the α anomer of a D-sugar, the anomeric hydroxyl in a Haworth projection Group of answer choices has an upward projection (on the same side as the terminal CH2OH group). has a downward projection (on the opposite side from the terminal CH2OH group).

Answers

Answer:

The answer is "choice 2".

Explanation:

Its glycosidic fruit juice facility would be a chromosomal hydrogen bond and an aldehyde (or acetone) team generated from the intramolecular creation of the acetals (or ketal).

Its two heterocycles created at the anomeric core from of the 2 potential stereochemical are named anomers, that's why choice "has a downward projection (from terminal CH2OH party on the opposite side)" is correct.

How many moles are in 10.23 g of PO4-3? How many moles are 8.25 x 10^28 molecules of Na2CO3? What is the mass of 6 moles of CH2O? How many formula units are in 6.34 g of NaCl? How many ions are in 0.25 moles of Cu+2? How many grams are in 3.4 x 10^24 molecules of CH4? How many moles are in 10 mL of water (density of water = 1 g/mL)? (sorry for so many questions in one)

Answers

Answer:

1) 0.1077 moles

2) 137043.2 moles

3) 180.186 grams

4) 6.53×10²² molecules or formula units

5) 1.505×10²³ ions

6) 90.626 grams

7) 0.555 moles

Explanation:

1) The number of moles, n = Mass of the substance/(Molar mass of the substance)

The molar weight of PO₄⁻³ is 94.971 g/mol

The number of moles in 10.23 g of PO₄⁻³ is n =10.23/94.971 = 0.1077 moles

The number of moles in 10.23 g of PO₄⁻³ = 0.1077 moles

2) The number of molecules of Na₂CO₃ in one mole of Na₂CO₃ is given by the Avogadro's number, [tex]N_A[/tex] = 6.02 × 10²³ molecules

Therefore, the number of moles in 8.25 × 10²⁸ molecules of Na₂CO₃ is found by determining how many Avogadro's number of molecules are in 8.25 × 10²⁸ molecules of Na₂CO₃ as follows;

The number of moles in 8.25 × 10²⁸ molecules of Na₂CO₃ = (8.25 × 10²⁸)/(6.02 × 10²³) = 137043.2 moles

The number of moles in 8.25 × 10²⁸ molecules of Na₂CO₃ = 137043.2 moles

3) The molar mass of CH₂O = 30.031 g/mol

Therefore, the mass of 6 of CH₂O = 6 moles × 30.031 g/mol = 180.186 grams

The mass of 6 of CH₂O = 180.186 grams

4) The molar mass of NaCl = 58.44 g/mol

The number of moles of NaCl in 6.34 g of NaCl 6.34/58.44 = 0.1085 moles

1 formula unit of NaCl = 1 molecule of NaCl

The number of molecules in one mole of  a substance =  [tex]N_A[/tex] = 6.02 × 10²³

Therefore, the number of molecules in  0.1085 moles of NaCl = 6.02 × 10^(23) × 0.1085 = 6.53×10²² molecules or formula units

5) The number of ions per mole of any substance is give by Avogadro's number, [tex]N_A[/tex] = 6.02 × 10²³ ions,

The number of ions in 0.25 moles of Cu⁺² = 0.25×6.02 × 10²³ ions = 1.505×10²³ ions

The number of ions in 0.25 moles of Cu⁺² =  1.505×10²³ ions

6) The molar mass of CH₄ = 16.04 g/mol

The number of moles, n, in 3.4×10²⁴ = 3.4×10^(24)/(6.02×10^(23)) = 5.65 moles 5.65*16.04

The mass of 5.65 moles of CH₄ = 5.65 moles × 16.04 g/mol = 90.626 grams

The mass of 3.4×10²⁴ molecules of CH₄ = 90.626 grams

7) The density of water = 1 g/mL

The volume of the water 10 mL

The mass of the water = Volume × Density = 10 mL × 1 g/mL= 10 grams

The molar mass of water = 18.015 g/mol

The number of moles of water in 10 g  of water = mass/(Molar mass) = 10/18.015 = 0.555 moles.

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Fill in the code to try to find the problems, then fix the problems.import redef compare_strings(string1, string2):#Convert both strings to lowercase#and remove leading and trailing blanksstring1 = string1.lower().strip()string2 = string2.lower().strip()#Ignore punctuationpunctuation = r"[.?!,;:-']"string1 = re.sub(punctuation, r"", string1)string2 = re.sub(punctuation, r"", string2)#DEBUG CODE GOES HEREprint(___)return string1 == string2print(compare_strings("Have a Great Day!", "Have a great day?")) # Trueprint(compare_strings("It's raining again.", "its raining, again")) # Trueprint(compare_strings("Learn to count: 1, 2, 3.", "Learn to count: one, two, three.")) # Falseprint(compare_strings("They found some body.", "They found somebody.")) # False Identify the relationship in the analogy. palette : paint :: bookshelf : book an example of something and the group it belongs to pairs of words with the same meaning a part of something and its entirety a relationship of lesser to greater degrees Type the correct answer in the box. Use numerals instead of words. What is the missing value in the inverse variation given in the table? Solve the system by the substitution method. X-2y=6 Y=2x-21 Find the volume, in cubic inches, of the composite solid below, which consists of a 4 -inch square solid rectangular bar that is 16 inches in length. The bar has a 2 -inch diameter cylinder hole cut out of the center of the bar from the top of the bar through the entire length of the bar. Use 3.14 to find the volume. Enter only the number. Which of the following was NOT something the West offered to pioneers? A. security B. opportunity C. freedom D. land Describe how red shifts were used by cosmologists to determine that the universe was expanding. Howis this evidence for the big bang theory? The formula for the volume of a pyramid is =13V=13Bh, where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h).Select one:a. =3h=3VB b. =3h=B3V c. =3h=V3B d. =3 Rustafson Corporation is a diversified manufacturer of consumer goods. The company's activity-based costing system has the following seven activity cost poolsActivity Cost Pool Estimated Overhead Cost Expected ActivityLabor-related $ 52,000 8,000 direct labor-hoursMachine-related $ 15,000 20,000 machine-hoursMachine setups 42,000 1,000 setupsProduction orders 18,000 500 ordersProduct testing $48,000 2,000 testsPackaging $ 75,000 5,000 packagesGeneral factory 108,800 8,000 direct labor-hoursa. Compute the activity rate for each activity cost pool. (Round your answers to 2 decimal places.)b. Compute the company's predetermined overhead rate, assuming that the company uses a single plantwide predetermined overhead rate based on direct labor-hours. (Round your answer to 2 decimal places.)" A light wave with an electric field amplitude of E0 and a phase constant of zero is to be combined with one of the following waves. Which of these combinations produces the greatest intensity?a. Wave A has an amplitude of E0 and a phase constant of zero.b. Wave B has an amplitude of E0 and a phase constant of .c. Wave C has an amplitude of 2E0 and a phase constant of zero.d. Wave D has an amplitude of 2E0 and a phase constant of .e. Wave E has an amplitude of 3E0 and a phase constant of . During the day in Lake Constance, the zooplankton D. hyaline departs for the depths where food is scarce and the water cold. D. galeata remains near the warm surface where food is abundant. Even though D. galeata grows and reproduces much faster, its population is often outnumbered by D. hyaline. Which of the following, if true, most helps to resolve the apparent paradox? A. The number of species of zooplankton living at the bottom of the lake is twice that of species living at the surface. B. Predators of zooplankton, such as whitefish and perch, live and feed near the surface of the lake during the day. C. In order to make the most of scarce food resources, D.hyaline matures more slowly than D. galeata. D. D. galeata clusters under vegetation during the hottest part of the day to avoid the Suns rays. E. D. galeata produces twice as many offspring per individual in any given period of time as does D. hyaline. The functional residual Capacity is obtained by adding together which of the following respiratory volumes Pearls, Pearls, Pearls! manufactures and sells jewelry. The total variable cost of goods sold this month is $72,490. Variable selling and administrative cost is $22 per unit sold. If 350 units are produced and 314 units are sold this month, the total variable cost reported on the income statementforthe month is $:___________ How do I make my kali Linux faster in my virtual box? How did views on land affect how slaves were treated in Africa compared to the Americas? The ratio of boys and girls in the schoolchorus is 4 to 5. There are a total of 20boys in the chorus. How many students arein the chorus?