. If a balloon will rise off the ground when it contains 0.0226 mol of helium in a volume of 0.460 L, how many moles of helium are needed to make the balloon rise when its volume is 0.865 L? Assume that temperature and pressure stay constant.

Answers

Answer 1

The number of moles of helium (He) needed to make the balloon rise is 0.043 moles.

How to calculate number of moles?

The number of moles of a gas can be calculated using the following expression:

V₁/n₁ = V₂/n₂

Where;

V₁ = initial volumen₁ = initial moles V₂ = final volumen₂ = final moles

Avogadro’s law to predict what will happen to the volume of a sample of gas as we change the number of moles. Because V/n is a constant for any given sample of gas (at constant P and T).

At constant temperature and pressure the volume of a gas is directly proportional to the number of moles of gas.

0.46/0.0226 = 0.865/n

20.3539823n = 0.865

n = 0.043 moles

Therefore, 0.043 moles is the number of moles of the gas when the balloon rises.

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Related Questions

The diagram at right shows a manometer connected to a flask. The mercury levels are measured in mm. the pressure in the room is 740mmHg. Determine the pressure of the gas in the flask.



on the flask it has 505mm and 465mm

Answers

pressure=585...

this is your answer

Iron has a density of 7.31 g/cm3.what is the mass of 2.25 cm3 of sodium?

Answers

7.9 g/cm3 is the density of iron.  There are three possibilities: 1.3 × 103 g 2.3 × 10-2 g 4.3 × 102 g 2.1 × 104 g 1.4 g.

What is the density of iron?

Iron has a density of 7.874g/cm3.

At atmospheric pressure, different substances have their typical densities.

The mass per unit volume is the definition of density. Mathematically speaking, its intense attribute is defined as mass divided by volume:

ρ = m/V

The total mass (m) of a material divided by the total volume (V) . it occupies is how a substance is defined as having a density (). The kilogram per cubic meter (kg/m3) is the metric unit used by the SI. The pounds mass per cubic foot (lbm/ft3) measurement is used in Standard English.

Compressibility (also known as the coefficient of compressibility is a measure of the relative volume change of a fluid or solid as a response to a pressure (or mean stress) change.

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What happens when,
a) Hydrogen gas is bubbled into acidified potassium permanganate solution?
b) Some piece of zinc are added into acidified permanganate solution?
c) Hydrogen gas is bubbled into acidified potassium dichromate solution?
d) Some pieces of zinc are added in acidified potassium dichromate solution?
e) Hydrogen gas is bubbled into acidified ferric chloride solution?
f) Some piece of zinc are added into acidified ferric chloride solution?
Add the required chemical reactions as well

Answers

Explanation:

I)reaction between potassium paramagnet with H2 forms MnO2

The half-life of Po-218 is three minutes. How much of a 2.0 gram sample remains after 15 minutes? Suppose you wanted to buy some of this isotope, and it required half an hour for it reach you. How much should you order if you need to use 0.10 gram of this material?

Answers

(2)(½^(15/3)) = 0.0625 (5 half-lives) 102.4 grams order

What is the half-life of an isotope?A radionuclide's half-life is the amount of time it takes for half of its radioactive atoms to decay. A good rule of thumb is that you will have less radiation than 1% of the original amount after seven half-lives.Knowing an element's alpha, beta, or gamma decay can help someone properly protect their body from excessive radiation. Within one half-life, the amount of radioactive nuclei present at any particular time will be reduced to half.Each radioisotope has a set half-life that can be anywhere between a few milliseconds (for example, 215At at 0.1 milliseconds) and billions of years (e.g.,238U at 4.468 billion years). Both stable and radioactive isotopes can exist for an element.The period of time needed for something to go from 50% to 50%

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I understand how a change in the size of the moon jellies' resource population can change the number of births in the moon jelly population.
Responses

Explain your answer choice.

Answers

A change in the size of the moon jellies' resource population can change the number of births in the moon jelly population because the big size of the resources can produce more births.

How do moon jellies reproduce?

When there is more energy storage molecules present in the moon jellies, they can reproduce more, in more births. Fewer deaths would also lead to the jelly population increasing. The sea turtle population, and the moon jellies consumer population is also decreased.

There must be a change to the birth rate or the death rate in the moon jelly population. Within a population, organisms are born and dying continuously. If the number of births and deaths in a given time interval are equal, then the population size will remain stable.

So we can conclude that a large population of resources will lead to more births.

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Using the balanced equation
how many
3Ba+Al2(SO4)3-->2Al+3BaSO4,
grams of aluminum will be produced if 1.0 g of Ba react with 1.80 g of
Al2(SO4)3?
O.14
0.26
0.28
O.13

Answers

Grams of aluminum that will be produced if 1.0 g of Ba react with 1.80 g of Al2(SO4)3 will be 0.28g Al. Hence option c) is correct.

What is balanced equation?

A balanced equation is a chemical equation where mass is conserved and there are equal numbers of atoms of each elements on both the sides of equation.

Given, 1.80 g of Al2(SO4)3 and 1.0 g of Ba

So, (1.8 g)/(341.96 g) = 0.00526 moles of Al2(SO4)3

And, 1 mole = 341.96g Al2(SO4)3

Now, (0.00526 moles of Al2(SO4)3)*(2 moles of Al)

= 0.01052 moles of Al

So, (0.01052 moles of Al)*(27 grams of Al)

= 0.28g Al

Hence, option c is correct.

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Which of these is an example of a physical property?

A. Chlorine oxidizes bacterial cells.

B. Chlorine gas is yellow-green in color.

C. Chlorofluorocarbons (CFC's) react with ozone (O₂).

D. Potassium ignites when placed in water.​

Answers

Answer:

B. Chlorine gas is yellow-green in color.

What is the molecular weight of MgCl2

Answers

The molecular weight of MgCl₂ is 94 g/mol.

What is molecular weight?

This refers to the total mass of a compound. It is equivalent to the sum of the individual atomic masses of each atom in the molecule.

Steps to determine the molecular formula of the molecule.

Determine the atomic mass of each element in the molecule.Multiply each element's atomic mass by the number of atoms of that element in the molecule. This number is represented by the subscript next to the element symbol in the molecular formula.Add these values together for each different atom in the molecule.The total will be the molecular mass of the compound.

Atomic number of Cl =17

Atomic number of Mg = 12

Mass number of Cl = 35

Mass number of Mg = 24

Calculating the molecular weight of MgCl₂

MgCl₂

=(12* 2) + (35*2)

= 24 + 70

= 94 g/mol.

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What is the domain of the following function?
A) x < 15
B) x ≤ 4
C) x > 2
D) All Real Numbers

Answers

The domain of the function that has been shown are all real numbers. Option D

What is the domain of a function?

Let us note that when we are talking about the domain of the function, we mean the areas that the function is able to have a value. We are also trying to define the areas where the actual value of the function can be determined.

It is normal that all the mathematical functions that we have must have a domain and a range. The domain of the function would depend on the kind of function that it is and that determines what its domain would be.

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Calculate the mass percent composition of nitrogen in each nitrogen containing compound

Answers

Mass percent of a compound=(mass of element in molecule/total mass of compound)×100  (a) 63.64%

What is mass percentage composition ?

We use the concept of mass percentage composition to explain the concentration of an element in a compound or a component in a combination. This word refers to the overall percent by mass of each element present in a compound.

In chemistry, a compound's percent composition is calculated by dividing its total amount of each elements by the compound's total amount, multiplied by 100. The following formula determines an element's percentage composition:

(gE/gT) = %CE 100

Here, %CE stands for the element's composition in percent.

How to calculate the percentage of each element by mass makes up each compound?

To get the mass percent of an element in a compound, multiply the result by 100 after dividing the mass of the element in 1 mole of the compound by the compound's molar mass.

Calculating total mass of HNO3

= 1 x 1 + 14 x 1 + 16 x 3

= 1 + 14 + 48

= 63

Calculating the mass percentage of Nitrogen in HNO3

= 1/63 x 100

= 1.586 %

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What is the empirical formula of a compound consisting of 48.64% C, 8.16% H, and 43.20% O by mass? Assume 100.0g total of unknown compound.

Answers

Answer:

empirical formula of the compound is CH2O

Explanation:

CHEMISTRY FORM THREE Exercise 2.1 1) Not all metals share the typical metal properties.name a metal that is: a. hard and strong b. malleable at room temperature ​

Answers

a) The strongest metal on the planet is tungsten.

When it comes to tensile strength, tungsten tops all other metals. One of the strongest metals known to man, tungsten has an ultimate strength of 1510 Megapascals.

In addition to having the greatest melting point of any unalloyed metal, tungsten boasts greater strength. Tungsten is frequently employed in electrical and military applications due to its strength.

Tin is a malleable, silvery-white metal that is highly flammable at ambient temperature.

Metal malleability is a complex subject. There is no objective test available to measure this feature, as we previously stated. We most frequently test it for hardness.

The most malleable and ductile metals are gold and silver. Pure gold and silver are too soft to be used to create items that will keep their shape.

Metals may be molded into different shapes, such as thin sheets or foils, without breaking or shattering because they are malleable. They are also ductile, making it simple to draw them into wires.

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A chemist morning commute is 40.2 kilometers. Given an average speed pf 60.5 mph, how many minutes will it take him to arrive at work?

Answers

A chemist morning commute is 40.2 kilometers. Given an average speed pf 60.5 mph, 0.66 minutes will it take him to arrive at work.

What is average speed ?

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

If you know how far something has travelled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.

Distance = speed × time

40.2 = 60.5 × time

time = 40.2 / 60.5

= 0.66 minutes

Thus, A chemist morning commute is 40.2 kilometers. Given an average speed pf 60.5 mph, 0.66 minutes will it take him to arrive at work.

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The density of oxygen gas at a certain temperature and pressure is 1.345 g cm-3. How many oxygen atoms are present in 2.0 L of oxygen gas at this same temperature and pressure?

Answers

The number of oxygen atoms present in 2.0L of oxygen gas at same temperature and pressure is 5.1 × 10²² atoms.

How to calculate number of atoms?

The number of atoms of a substance can be calculated by multiplying the number of moles in the substance by Avogadro's number (6.02 × 10²³).

no of atoms = no of moles × 6.02 × 10²³

According to this question, the density of oxygen gas at a certain temperature and pressure is 1.345 g cm-³. If 2.0 L of oxygen gas is given, the mass of the oxygen gas can be calculated as follows:

mass = 1.345 × 2 = 2.69grams

moles = 2.69g ÷ 32g/mol = 0.084moles

No of atoms = 0.084 mol × 6.02 × 10²³

no of atoms = 5.1 × 10²² atoms

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Depression in freezing point of non-electrolyte solution containing 29.5 g of a substance in 100 g of water is 1.6 K. Determine the molar weight of the substance. (Cryometry).

Answers

The depression in freezing point of the electrolyte is 1.6 K. The weight of the solute added is 29.5 g. Then the molar mass of the compound is obtained to be 342.93 g/mol.

What is  depression in freezing point?

Addition of a non-volatile solute into a solvent decreases the freezing point of the solution. The depression in freezing point is calculated as follows:

ΔT =  W₂ 1000 Kf / (M W₁)

where W₂ be the mass of solute and W₁ is that of solvent, Kf is called molal depression constant. M be the molar mass of the solute.

Given ΔT = 1.6 K

W₂  = 29.5 g

W₁ = 100 g

Kf of water = 1.86 K/m

Then M = W₂ 1000 Kf / ( ΔT W₁)

M = 29.5 g× 1000 × 1.86 / (1.6 K × 100 g) = 342.9 g/mol

Thus, the molar mass of the solute is 342.9 g/mol.

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Using ethylene (HC-CHz) as your only source of carbon atoms, outline a synthesis for 3- hexanone,

Answers

The organic compound 3-hexanone can be prepared from ethylene using the second method given in the options.

What is 3-hexanone?

3-hexanone is an organic compound classified to the ketones. Ketones are compounds with C=O group. 3-hexnone has the carbonyl group in the third carbon in the chain.

3- hexanone can be synthesized alkene sources by first converting them to alkynes. This process is oxidation. Ethylene can be oxidized to ethyne by treating with HBr and NaNH2 followed by hydrolysis.

The obtained higher alkyne or hexyne undergone acid hydrolysis in presence of sulphuric acid giving 3-hexanone.

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A certain compound consists of 54.53% C, 9.15% H, and 36.32% O by mass. The molar mass of the compound is 88.10g/mol, What is the molecular formula of this compound?

Answers

The compound is going to have the molecular formula; [tex]C_{4} H_{8}O_{2}[/tex]

What is the molecular formula?

We know that the molecular formula is the formula of the compound that shows the number of the atoms of each of the elements that we can be able to find in the compound.

Now for the compound that we have, we divide through by the relative atomic mass of each;

C - 54.53/12    H -  9.15/1   O - 36.32/16

C - 4.5        H - 9.15    O - 2.27

Dividing through by the lowest ratio;

C - 4.5/2.27   H - 9.15/2.27     O - 2.27/2.27

C - 2   H - 4    O -1

The empirical formula is [tex]C_{2} H_{4} O[/tex]

We now have;

[2(12) + 4(1) + 16] n= 88.1

n = 88.1/44

n = 2

The molecular formula is;

[tex]C_{4} H_{8}O_{2}[/tex]

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are these reactions balanced or unbalanced ?

Answers

Balanced, unbalanced, unbalanced, you can tell this through its preservation of elements if it is missing an element it is unbalanced

hydrates (1 question)

Answers

6) When 10.000 g of a hydrated compound are analyzed in the laboratory, the following analysis is obtained: 1.425 g of water, 5.462 g of lead, 1.266 g of carbon, 1.687 g of oxygen, and 0.160 of hydrogen. What are the name and formula of the compound?

The name and formula of the compound can be determined by analyzing the data given in the question. Based on the information provided, the compound contains lead, carbon, oxygen, and hydrogen. The molecular formula for the compound can be determined by adding up the number of atoms of each element present.

From the data given, the compound contains 1.266 g of carbon, which is equivalent to 1.266/12.01 = 0.105 mol of carbon atoms. It also contains 5.462 g of lead, which is equivalent to 5.462/207.2 = 0.026 mol of lead atoms. The compound also contains 1.687 g of oxygen, which is equivalent to 1.687/16.00 = 0.105 mol of oxygen atoms, and 0.160 g of hydrogen, which is equivalent to 0.160/1.01 = 0.158 mol of hydrogen atoms.

The molecular formula for the compound is therefore Pb(C2H2O2). However, it is also mentioned that the compound is hydrated, which means that it contains water. The 1.425 g of water present in the compound is equivalent to 1.425/18.02 = 0.079 mol of water molecules. The compound 1 likely Pb(C2H2O2)·xH2O, where x represents the number of water molecules present in the compound.

A transverse wave is shown here. Several wave properties are labeled with letters. Which of these statements accurately reflects the energy associated with the wave? Select ALL that apply. Responses A Y is the frequency, and an increase in Y is associated with an increase in energy.Y is the frequency, and an increase in Y is associated with an increase in energy. B W is the amplitude, and a decrease in W is associated with an increase in energy.W is the amplitude, and a decrease in W is associated with an increase in energy. C W is the amplitude, and an increase in W is associated with an increase in energy.W is the amplitude, and an increase in W is associated with an increase in energy. D Z is the displacement, and a decrease in Z is associated with an increase in energy.Z is the displacement, and a decrease in Z is associated with an increase in energy. E X is wavelength, and a decrease in X is associated with an increase in energy.

Answers

Answer:

C) W is the amplitude, and an increase in W is associated with an increase in energy.

E) X is wavelength, and a decrease in X is associated with an increase in energy.

Explanation:

A transverse wave consists of an oscillating electric field that is perpendicular to the direction of the wave. Increasing either the amplitude or the wavelength of the wave increases its energy. For a transverse wave, the amplitude corresponds to W, while the wavelength is labeled X. So increasing W or decreasing X will create increase the energy of the wave.

which of the following decreases with increasing atomic number in group 2

Answers

Answer: Ionization energy

Explanation:

Your welcome

What is the name of the charge that orbits the nucleus called?

Answers

Answer:

Electrons

Explanation:

"An electron is a negatively charged particle that orbits the nucleus of an atom."

"Electrons are negatively charged particles arranged in orbits around the nucleus of an atom"

The EM Spectrum is the __________ range of EM waves in order of __________ frequency and __________ wavelength.

Answers

Answer:

entire, increasing, decreasing

Explanation:

The EM Spectrum is the entire range of EM waves in order of increasing frequency and decreasing wavelength.

Remember: all EM waves travel at the same __________. The equation for speed is __________ times the __________. So, for the answer to always be 300,000km/s, as one number goes __________, the other must go __________. All EM waves are __________. The higher the __________, the more __________ in the wave.

Answers

All the EM waves travel at the same speed. The equation for speed is frequency (v) times the wavelength (λ). Speed of light equals 300000 km/s. Hence one number goes to 3 × 10⁸ m and other number is 1 s⁻¹.

What is an electromagnetic wave ?

Electromagnetic waves are waves moving without a medium through vacuum. They are accompanied with an electric field and magnetic field. The speed of an electromagnetic wave is the product its wavelength and frequency.

c = νλ

Therefore, the given passage can be filled as follows:

All the EM waves travel at the same speed. The equation for speed is frequency (v) times the wavelength (λ). Speed of light equals 300000 km/s. Hence one number goes to 3 × 10⁸ m and other number is 1 s⁻¹.

All EM waves are energetic.  The higher the frequency the more energy in the wave.

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why is it important for a consumer to know the properties of a textile fibre ​

Answers

A thorough understanding of clothing and textiles will enable one to evaluate standards and product brands intelligently. It will also help one develop the capacity to recognize fabric quality, which will help one understand the best applications for the various qualities.

Understanding why some fabrics are more durable and so more suited for particular uses comes from studying textiles. It permits one to comprehend the rationale behind why particular materials generate cool-looking clothing in addition to creating the sense of coolness when used as décor. A thorough understanding of clothing and textiles will enable one to evaluate standards and product brands intelligently.

It will also help one develop the capacity to recognize fabric quality, which will help one understand the best applications for the various qualities. Although clothes don't necessarily make a person, they certainly help to develop a positive personality and a sense of self-assurance. Housewives should therefore be familiar with clothing and textiles to obtain the best out of it.

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Assign oxidation numbers to each atom in each substance. Then check your work by summoning to zero for each compound or the charge on the ion for the polyatomic. (Please help I am awful at chemistry )

Answers

The oxidation number of the atoms in the given compounds are :

K₂O: K = + 1; O = -2;

PO₃⁻³: P = +3; O = -2

NH₃: N = -3; H = +1

Cu(NO₃)₂: Cu = +2; N = +5; O = -2

NO₃⁻¹: N = +5;  O = -2

CO₂: C = +4; O = -2

KClO₃: K = +1; Cl = + 5; O = -2

O₂: O = 0

Ca(ClO₄)₂: Ca = +2; Cl = +7; O = -2

What is the oxidation number of elements?

The number of electrons an atom or ion has either gained or lost in comparison to the neutral atom is known as the oxidation number or state of the atom or ion.

Group I, 2, and 3 electropositive metal atoms lose a certain number of electrons, and their positive oxidation numbers remain constant.

The oxidation number of the atoms in the given compounds are as follows:

K₂0

K = + 1

O = -2

Sum is (+1 * 2) + (-2) = 0

PO₃⁻³

P = + 3

O = -2

Sum is (+3) + (-2 * 3) = -3

NH₃

N = -3

H = +1

Sum is (-3) + (+1 * 3) = 0

Cu(NO₃)₂

Cu = +2

N = +5

O = -2

Sum is (+2) + (+5 * 2) + (-2 * 6) = 0

NO₃⁻¹

N = +5

O = -2

Sum is (+5) + (-2 * 3) = -1

CO₂

C = +4

O = -2

Sum is (+4) + (-2 * 2) = 0

KClO₃

K = +1

Cl = + 5

O = -2

Sum is (+1) + (5) + (-2 * 3) = 0

O₂

O = 0

Sum is (0 * 2) = 0

Ca(ClO₄)₂

Ca = +2

Cl = +7

O = -2

Sum is (+2) + (+7 * 2) + (-2 * 8) = 0

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Q. 2 A and B are powders, A is insoluble while B dissolves to give a pH 3 solution. Mixing A and B gives bubbles or effervescence and a clear solution. Which is the acid? If the other substance is a carbonate, name the gas given off. Even though A is insoluble a clear solution is given off, explain why.​

Answers

Answer:

From the information provided, it seems likely that substance A is an acid, and substance B is a carbonate. The fact that mixing the two substances results in bubbles or effervescence, and that a clear solution is formed, suggests that a chemical reaction is taking place.

Acids and carbonates react together to form a salt, water, and carbon dioxide gas. The reaction is as follow:

Acid + Carbonate → Salt + Water + Carbon Dioxide

The carbon dioxide gas forms bubbles in the solution and causes effervescence, and the clear solution formed is due to the fact that both the acid and the carbonate have reacted together to form the salt and water. This reaction is acid-base neutralization reaction as the acid and base will neutralize each other.

As for the acid, since it is said that B gives pH 3 solution after dissolved, it can be inferred that it is not an acid, otherwise it would be acidic. Therefore A which is insoluble is the acid.

As for the gas given off, it's Carbon dioxide.

Explanation:

the maximum allowed concentrations of chloride in municipal drinking water supply in 250 ppm cl. when the supply of water exceeds this limit it often has a distinctive salty taste. what is the concentration in molarity?

Answers

The allowed concentration of Cl in water is 250 ppm. Then the equivalent concentration in molarity is 0.007 molar.

What is molarity ?

Molarity is a common term used to express the concentration of a solution. It is the ratio of the number of moles of solute to the volume of solution in liters. Molarity is a temperature dependent measurement.

Parts per million is another term of concentration have the formula as written below:

ppm = ws/W × 10⁶

Where, ws is the weight of solute and W be the weight of solution in grams.

1 molar = 35500 ppm

therefore, 250 ppm = 250 ppm × 1M /35500 ppm  = 0.007 M.

Hence, the molarity of the salt solution will with the maximum  allowed concentration will be 0.007 M.

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Explain, in terms of subatomic particles in energy states, how the colors in a fireworks display are produced

Answers

Salts are heated to extremely high temperatures during a display of fireworks. The salts' ions pick up energy and get excited. Exciting hues are created as energy in the form of light is emitted from the ions. Each salt's metal ion can be identified by the hue of the light that is emitted.

What are subatomic particles?

Subatomic particles refer to the three fundamental particles that make up the atom.

The subatomic particles include:

electronsprotons, and neutrons

Electrons occupy several energy states. When electrons gain energy, they move to a higher energy state. The electrons on returning to a lower energy state emit radiation that is seen as several light color displays in fireworks.

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Rank the following fibers on the degree to which a dye will bind to the fabric and resist fading.
rank the following fibers on the degree to which a dye will bind

Answers

Answer:

polymer mear least receptive to dye

,

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How has the Internet and modern communication technology affected the dynamics of your family? Provide examples to illustrate the way these technologies have affected your family relationships. Plase help me with these 10 questions Brainliest/70 points1. This plan called for representation based on a state's population. Larger states should receive more power in a national government. Evolved into the House of Representatives.1. Carolina Plan2. New Jersey Plan3. Connecticut Plan4. Virginia PlanThis document was initially used by the Continental Congress to govern. It ultimately failed, as the Federal government didn't have enough power to govern the states effectively.1. The Magna Carta2. The Declaration of Independence3. The Bill of Rights4. The Articles of ConfederationThis branch of government enforces the law. The President of the United States, the Vice President, and their cabinet.1. Judicial Branch2. Executive Branch3. Legislative Branch4. Olive BranchThis branch of government interprets or JUDGES the law. All court systems.1. Judicial Branch2. Christopher Branch4. Executive Branch5. Legislative BranchThis branch of government makes or creates the laws. This branch includes the House of Representatives and the Senate. (Congress).1. Judicial Branch2. Legislative Branch3. None of the Above4. Executive BranchThe Articles of Confederation was a failure because the national government lacked the power to...1. pass legislative with majority vote because unanimous decision was required2. All of the above3. collect federal taxes4. establish and maintain a national militaryCapital of SC moves from _________ to _________ amid complaints from the Upcountry to have a capital that was in a more central location1. Charleston to Columbia2. Columbia to Greenville3. Charleston to Greenville4. Columbia to CharlestonLarge plantations, held a majority of slaves in the state, cash crops, extreme wealth...1. Loyalists2. Colombia3. Lowcountry4. UpcountrySubsistence/small farms, higher population of whites, viewed as "uncivilized" by their counterparts.1. Charleston2. Upcountry/Upstate3. Lowcountry4. Columbia, SCPhilosopher, inventor, scientist, and founding father. Found on the $100 bill1. Thomas Jefferson2. Ben Franklin3. Alexander Hamilton4. George Washington Two speakers are driven by the same amplifier. The first speaker is placed in the origin, the second one is free to move along the x-axis (see figure). A receiver is placed on the on the y-axis, a distance L from the origin. The speakers emit sound at frequency f, the velocity of sound in the air is v. The second speaker is initially in the origin and it is the slowly moved toward the positive x-axis. Write the results in terms of L, f, and v. a) What is the wavelength of the sound waves in the air?b) Find the first position x of the second speaker at which the receiver does not get any sound (destructive interference). c) Find the first position x of the second speaker at which the receiver gets maximum intensity (constructive interference). Exclude the x=0 position What architectural feature distinguishes Romanesque pilgrimage churches? Why do we not feel Earth rotation and revolution? Which of the following purchases would be counted as a final good in the GDP calculation? a. a family's purchase of a used car b. a speculator's purchase of 100 shares of Apple Computer Stock c. a deli's purchase of bread for making its sandwiches. d. a business's purchase of new office equipment. Individuals with a(n) ________ body type gain muscle more easily than individuals with other body types. 5Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.What are the missing segment lengths shown in the image?2010 103203 10 2 20245 45445200045 Which of the following statements constitutes common knowledge? PART B : Which TWO phrases from Trujillo and The mirabal sisters best support the answers to part A A bicycle has a listed price of 839.95 before tax. If the sales tax rate is 85%, find the total cost of the bicycle with sales tax included. Round to the nearest cent as necesary. . A student using a compoundlight microscopeto study plant cells observed that most of thecells resembled the one shown in the followingdiagram. propose a sustainable solution to reduce the amount of soil erosion from agricultural practices. According to the graph, which media format is most popular among people aged 65 and older? Which is least popular? 8. On a map of scale 1:20 000 the area of a forest is 50 cm. On another map the area of the forest is 8 cm. Find the scale of the second map. Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which results areprobable to happen according to theoretical probability? Select TWO answers.