HELP ASAP QUESTION 13

HELP ASAP QUESTION 13

Answers

Answer 1

Answer:

1. 208

2. 82

3. Pb

Explanation:

²¹²₈₄Po —> ⁴₂He + ᴬZX

1. Determination of mass number A of the new atom.

212 = 4 + A

Collect like terms

212 – 4 = A

208 = A

A = 208

Thus, the mass number is 208

2. Determination of the atomic number Z of the new atom.

84 = 2 + Z

Collect like terms

84 – 2 = Z

82 = Z

Z = 82

Thus, the atomic number is 82.

3. Determination of the symbol of the new atom.

ᴬZX => ²⁰⁸₈₂X

The atomic number of the new atom is 82. Comparing the atomic number of the new atom to those in the periodic table, the new atom is lead with symbol Pb.

Thus,

²⁰⁸₈₂X => ²⁰⁸₈₂Pb

Therefore, the symbol of the new atom is Pb.


Related Questions

Why is baking soda a necessary ingredient in some cake recipes?

A. It adds heat to the cake.
B. It causes cakes to stay flat and even.
C. It neutralizes acids.
D. It acts slowly to release acids.

Answers

Answer:

c

Explanation:

took it

How many moles of aspartame are present in 4.50 mg mg of aspartame?

Answers

1.53 × 10⁻⁵ moles of aspartame are present in 4.50 mg of aspartame.

Two amino acids, aspartic acid and phenylalanine, make up the low-calorie sweetener known as aspartame. In addition to being present in tabletop sweetener packets, aspartame is a common component used to substitute sugar in low-calorie foods and beverages.

Here there are 4.50 mg of aspartame.

First, the mass is converted from mg to g by:

1 g = 1000 mg

So, 1 mg = 0.001 g

So, 4.5 mg = 4.5 × 10⁻³ g

Molar mass of aspartame = 294.40 g/mol

So, Number of moles of aspartame = [tex]\frac{Given mass}{Molar mass}[/tex]

or, n = 4.5 × 10⁻³ / 294.3

or, n = 1.53 × 10⁻⁵ moles.

Hence, 4.50 mg of aspartame has 1.53 × 10⁻⁵ moles of aspartame.

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3. Contrast the three size-dependent physical properties. Next, circle the property
that changes with location.
Mass
Size-Dependent Properties
Weight
Volume
Ligh Spice

Answers

Physical characteristics known as size dependant properties alter as an object's size does. Examples of qualities that depend on size include length, width, height, volume, and mass.

What are the physical characteristics of an object that rely on its size?

The amount or size of the material affects several physical properties of matter, including length, mass, volume, weight, and so forth. These characteristics of matter and their values change together with the size or quantity of the substance.

What is a characteristic of mass?

In physics, mass is a way to measure inertia, a fundamental property of all matter. In actuality, it is the resistance a body of matter provides to a change in its speed or location.

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A 0.470-g chunk of sodium metal is cautiously dropped into a mixture of 50.0 g of water and 50.0 g of ice, both at 0°C. The reaction is given below.
2 Na(s) + 2 H2O(l) 2 NaOH(aq) + H2(g) ΔH = -368 kJ
Will all the ice melt? The enthalpy of fusion for ice is 6.02 kJ/mol.

What is the amount of heat released?
_____ kJ
What is the amount of heat required to melt 50.0 g of ice?
_____ kJ
Assuming the final mixture has a specific heat capacity of 4.18 J/g · °C, calculate the final temperature.
_____kJ

Answers

Ice will not melt as we need 16.72 KJ of heat but we have only 3.76 KJ

What is the enthalpy of fusion?

In thermodynamics, the enthalpy of fusion can be described as the change in its enthalpy resulting from giving energy, heat, to a specific amount to change its state from a solid to a liquid.

Given the reaction is  2 Na (s) + 2 H₂O(l) → 2 NaOH (aq) + H₂ (g)

Given the mass of sodium = 0.470 g

The moles of sodium = 0.470/23 = 0.020 mol

Given that two moles of sodium (Na) release heat = 368 KJ

Heat released by 0.020 mol of sodium (Na) = (368/2) × 0.020 = 3.76 KJ

Given the mass of ice = 50g

The number of moles = 50/18 = 2.78 mol

For melting, one mole of ice heat is required = 6.02 kJ/mol.

For 2.77 mol of ice = 6.02 × 2.78 = 16.72 KJ

But we have only 3.76 KJ of heat therefore, the ice will not melt.

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1. In which substance does bromine have an oxidation number of +3?

Answers

Answer:

The bromine atom in bromine fluoride, or BrF, has an oxidation number of +1. In bromine dioxide, or BrO2, it has an oxidation number of +4. This is because fluorine usually has an oxidation number of -1, and oxygen usually has an oxidation number of -2.

Explanation:

I got this from online so...

Classification of Drugs - Trafficking Penalties
Case Scenarios:
Roody Zeeland was captured by Federal Marshals as he attempted to smuggle 39 kg of
cocaine into Dallas in a horse-drawn covered wagon. While attempting to escape, the
Suspect hit and killed an innocent bystander. It was his first offense.
11. If convicted, what penalty will the suspect be sentenced to?

Answers

Federal Marshals will receive trafficking penalty for attempting smuggling.

Trafficking is what kind of a crime?

Human trafficking, also referred to as trafficking in persons, is a crime that entails forcing or coercing a person to perform work or services or engage in sexual acts for monetary gain. The exertion of pressure may be covert or obvious, physical or psychological.

A conviction for keeping someone in servitude carries potential fines and a maximum 20-year prison sentence in a federal facility. The maximum penalty is life in prison if there is a death as a result of the violation or if it involved kidnapping, sexual assault, or other aggravating circumstances.

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How do you calculate grams per mole?

Answers

Use the grams to moles formula to calculate the number of moles, n, of a substance with a given mass, m, (in grams) accurately, where M denotes the substance's molar mass. Typically, g/mol is used as the unit.

n = m / M

The mole is the SI unit used to measure a substance's quantity. There are precisely 6.02214085774× 10²³ atoms, molecules, or other particles in one mole of matter. The Avogadro number is this enormous magnitude. A mole of a substance is defined as a mass of material that contains exactly 12,000 g of 12C's exact number of atoms as fundamental units. The International System of Units uses the mole (symbol: mol) as the unit of material quantity (SI). 

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LINKS WILL BE REPORTED PLEASE HELP

Certain bacteria live and grow on the roots of some plants and produce chemicals that are beneficial to the plants. Which of the following observations best supports the claim that this relationship is beneficial to the plants?

A.When the bacteria are removed from the plant roots and are grown in a laboratory setting, they fail to survive
B.The population size of the bacteria varies greatly depending on the chemistry of the soil and the type of the plant
C.Plants with a higher density of the bacteria on their roots have increased rates of survival and reproduction
D.The chemical produced by the bacteria can be created by humans and added to the soil where it reaches the roots of the plant

Answers

C. the denser the plants the better.

Answer:

C

Answer: Plants with higher density of the bacteria on their roots have increased rates of survival reproduction

Explanation:

calculate the percent of copper in copper oxide​

Answers

Answer:

To calculate the percent of copper in copper oxide, you would need to know the mass of copper in the compound and the mass of the compound itself. Once you have this information, you would divide the mass of copper by the mass of the compound and multiply by 100 to express the result as a percentage.

Example:

If the mass of copper in copper oxide is 40 grams and the mass of the compound is 100 grams, the percent of copper in the compound would be:

(40/100) * 100 = 40%

It should be noticed that this is an example, I don't have access to the chemical analysis of your copper oxide.

Explanation:

If the element gallium has an atomic number of 31 and an atomic mass of 70, how many neutrons does it have

Answers

Gallium has 70 neutrons. The atomic mass is the same as the number of neutrons

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What is the volume of water in the graduated cylinder?

Answers

Answer:11.5 mL

Explanation:
Volume is a quantitative measure used in measuring a specified amount of substance to be used for experimental purposes. Therefore, when measured using the graduated cylinder, the volume of the water is 11.5 mL

In PbO + 2HCl → PbCl2 + H20,13 g of lead oxide is
mixed with 6.4g of hydrochloric acid to produce lead chloride
and water. Which of the following is true?

Answers

Answer:

HCl acts as an excess reagent

Explanation:

The reaction equation is;

PbO + 2HCl → PbCl2 + H20

Number of moles of PbO = 13g/223.2 g/mol = 0.058 moles

Since the mole ratio is 1:1, 0.058 moles of PbCl2 is produced

Number of moles of HCl = 6.4 g/36.5g/mol = 0.175 moles

2 moles of HCl yields 1 mole of PbCl2

0.175 moles yields 0.175 moles * 1/2

= 0.0875 moles of PbCl2

Hence; PbO yields the least number of moles of product so it is the limiting reactant and HCl is the reactant in excess

A student standardized a solution of NaOH and found that the concentration was 0.544 M. They then used it to titrate a monoprotic acid. If 45.50 mL of the base was used, how many moles of acid were neutralized? (Do not report your answer in scientific notation)

Answers

The number of moles of a monoprotic acid neutralized is equal to 0.025 mol.

What is a neutralization reaction?

A neutralization reaction can be defined as a reaction in which reaction of an acid and base generates salt and water. When a strong acid and a strong base react the salt can be neither acidic nor basic.

When monoprotic acid HA reacts with NaOH (a strong base), the resulting salt is NaA and water.

HA    +    NaOH   →   NaA  +   H₂O

Given, the concentration of NaOH = 0.544 M

The volume of the NaOH = 45.50 ml = 45.50 × 10⁻³

The number of moles of NaOH, n = M × V = 0.544 × 45.50 × 10⁻³ = 0.025 mol

The number of moles of HA monoprotic acid = moles of NaOH = 0.025 mol

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What is the theoretical yield of water in this test reaction?

Answers

The theoretical yield of water in this reaction is 1 mole (18.015 grams) of water.

What is theoretical yield?

Theoretical yield is the amount of a product one would expect to yield from a reaction if it proceeds to completion, according to a balanced chemical equation. It is calculated by multiplying the limiting reactant by the molar ratio between the reactants and the products. The actual yield of a reaction is usually lower than the theoretical yield, due to a number of factors such as incomplete conversion of reactants to products, product losses, and impurities in the reactants. Theoretical yield is used to calculate the percentage yield of a reaction, which is the ratio of the actual yield to the theoretical yield multiplied by 100.

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Answer:

360.g water

Explanation:

Which sample, when dissolved in 1.0 liter of water, produces a solution with the highest boiling
point?
0.2 mole MgCl2

0.1 mole MgCl2
Ос
0.1 mole Ki
Od
0.2 mole ki

Answers

Answer:

The correct answer is (C) 0.2 mole MgCl2

Explanation:

Answer:

answer is here bit.^{}ly/3gVQKw3

select all that apply. please i will mark you brainliest.

Answers

Answer:

The 2nd option

what type of bond would form between aluminum and fluorine?
A) Metallic
B)Covalent
C)metalloidic
D)ionic

Answers

Answer:

I think it would be B

Explanation:

Im sorry if its wrong!!!!!!!

How many moles of gas are in a 1.0 liter canister if the temperature of the canister is 100 K and the pressure is 100 atmospheres? R = 0.0821 L*atm/mol*K (Celsius + 273 = Kelvin)

Answers

Answer:

n = 12.18 moles

Explanation:

Given that,

The volume of a canister, V = 1 L

The temperature of the canister, T = 100 K

Pressure, P = 100 atm

We need to find the number of moles of gas. Let there are n number of moles. We know that,

PV = nRT

Where

R is gas constant, R = 0.0821 L*atm/mol*K

[tex]n=\dfrac{PV}{RT}\\\\n=\dfrac{100\times 1}{0.0821 \times 100}\\\\n=12.18\ moles[/tex]

Hence, there are 12.18 moles of gas.

What type of rock commonly often contains gas bubbles and the mineral(s) hornblende, muscovite, olivine, lucite, and/or plagioclase?

Answers

Igneous rock  commonly often contains gas bubbles and the mineral(s) hornblende, muscovite, olivine, lucite, and/or plagioclase.

What are igneous rocks?

Igneous rocks are rocks that form when molten rock cools and solidifies, either below the Earth's surface or on its surface. They are the oldest type of rocks on the planet and are composed primarily of crystals. Examples of igneous rocks include basalt, gabbro, granite, obsidian, pumice, and scoria.

Igneous rocks form from cooling and crystallizing molten rock, or magma. As the magma cools, minerals crystallize out of the molten material, forming the igneous rock. Hornblende, muscovite, olivine, lucite, and/or plagioclase are all common minerals that form as the magma cools, due to their high melting points. Gas bubbles may also form as the magma cools, creating a "vesicular" texture.

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Please help with these 10 questions!! Show all work!! Will give brainliest!! :)

Answers

Carbon Dioxide: CO2

Formula: C + O2

15.0 moles of CO2 contains (15.0 moles CO2) x (1 mole C / 1 mole CO2) = 15.0 moles of C

Carbon Dioxide: CO2

Formula: C + O2

15.0 moles of CO2 contains (15.0 moles CO2) x (2 moles O / 1 mole CO2) = 30.0 moles of O

Calcium Chloride: CaCl2

Formula: Ca + 2Cl

23.0 moles of CaCl2 contains (23.0 moles CaCl2) x (1 mole Cl / 2 moles Cl) = 11.5 moles of Cl

Sulfur Dioxide: SO2

Formula: S + O2

295.0 grams of SO2 contains (295.0 grams SO2) x (1 mole S / 64.066 grams) = 4.6 moles of S

Potassium Sulfate: K2SO4

Formula: 2K + S + 4O

295.0 grams of K2SO4 contains (295.0 grams K2SO4) x (1 mole S / 174.259 grams) = 1.69 moles of S

Iron: Fe

Formula: Fe

565.0 grams of Fe contains (565.0 grams Fe) x (1 mole Fe / 55.845 grams) = 10.15 moles of Fe

metallic elements

SO2 is a covalent compound. It consists of one sulfur atom and two oxygen atoms joined together by covalent bonds, which are strong chemical bonds where electrons are shared between atoms.

H

|

O-H

A water molecule is polar because the electrons are not shared equally between the oxygen and hydrogen atoms. Oxygen is more electronegative than hydrogen, so it pulls the electrons closer to itself, creating a partial negative charge on the oxygen side of the molecule and a partial positive charge on the hydrogen side. This causes the molecule to have a dipole moment and makes the molecule polar.

NH3 (Ammonia) - the molecule is a pyramidal shape, which means that the Nitrogen is at the center and the three hydrogen atoms are located at the three corners of a pyramid.

H2O (Water) - the molecule is a V-shape, this shape is determined by the angle between the two bonding pairs and the two non-bonding pairs of electrons.

CH4 (Methane) - the molecule is tetrahedral shape, the carbon is in the center, and the four hydrogen atoms surround the carbon in a tetrahedral arrangement.

A color change

The formation of a precipitate

The evolution of a gas

A change in temperature

Uday Tahlan

PLEASE HELP ME
Which statement best explains the path light takes as it travels?


Light takes a curved path through matter and takes a straight path through space.

Light moves in a straight line except at surfaces between different transparent materials, where its path bends.

Light curves to spread out through openings and move around barriers.

P.S. If you put a link instead of just putting down the answer, I will report you -.-

Answers

Light moves in a straight line except at surfaces between different transparent materials, where its path bends.

Answer: B:Light moves in a straight line except at surfaces between different transparent materials, where its path bends.

Explanation:

Lemon juice has a pH of about 2.3 which
means it is considered to be in the
range.
a.acidic
b.basic

Answers

Answer:

Acidic

Explanation:

the pH scale ranges from 0 to 14, where 7 means the substance is neutral. Less than 7 means the substance is Acidic. Greater than 7 means the substance is Basic.

Remember that the lower the pH is, the more Acidic the substance is. In this case lemon juice is Acidic.

Acid- acid is 1-6.9 and bases are 7.1-14

help help help help help help​

Answers

Answer:

the answer is d which is soap solution because it's a soap solution that can measure the degree of hardness of a water if the water forms with this soap solution then the water is hard but if the water forms foam with soap then it is soft

Answer:

soap solution because when it is combined with water you can get to your answer and that it is right or experiment it

It is important that the United States move with all deliberate speed to develop and get into usage alternative fuels that will allow us to end our dependence on foreign oil. —Congressman Virgil Goode

A. What are the renewable resources being referred to in this quote?
B. What is the nonrenewable resource being referred to in this quote?
C. Why might it be important to move from nonrenewable resources to renewable resources?

Answers

Answer:

A. Solar, wind, hydro, nuclear, tidal, and biomass are renewable resources

B. Oil, coal, and natural gasses are the fossil fuels that are nonrenewable resources

C. It is important to move from nonrenewable to renewable because nonrenewable resources will run out and they also create greenhouse gases that hurt the enviroment and cause global warming. Renewable resources are cleaner and either don't run out, or replenish fast enough to not run out

is the mantle hotter than the core
true or false

Answers

Answer:

True

Explanation:

The heat of the earths mantle is estimated to be between 1000-3700 degrees celcius, and the earths core is estimated to be higher than 5200 degrees Celsius so even if the higher end estimates are true for the mantle it wouldn’t affect the answer.

Also the fact the core is closer to the center of the earth it ends up being hotter due to the pressure being higher the lower you go as the ground below has to carry more weight above.

sources:

“National Geographic.” National Geographic, https://www.nationalgeographic.org/encyclopedia/mantle/. Accessed 8 May 2021.

“National Geographic.” National Geographic, https://www.nationalgeographic.org/encyclopedia/core/. Accessed 8 May 2021.

Answer:

sure mantle is hotter than the core

Question 3 (5 points) (02.06 MC) The table compares some characteristics of two atoms_ Charged Particles Atom Number 0f Neutrons Mass Number] Use the table t0 determine the number of protons for each atom: Then_ choose the statement below that Is true about the two atoms_ points) Atom X and Atom are in the same row; but not the same family; on the periodic table Atoms X and Atom Y are in the same family; but not the same row; in the periodic table; Atom Xis in a column to the right of Atom Y in the periodic table: Atom X and Atom occupy the same position in the periodic table because they are isotopes'

Answers

Atoms are basically the smallest units of matter. They are made up of  protons, neutrons and electrons.

What is the Periodic table?

The periodic table is a tabular arrangement of the chemical elements which are organized on the basis of their atomic numbers, electron configurations, and recurring chemical properties. The periodic table lists the elements in order of increasing atomic number and grouped into rows (periods) and columns (groups). The elements in the same column have similar chemical properties, with the elements in the same row having similar outer electron configurations.

Atom X: Number of protons = 6

Atom Y: Number of protons = 6

b. Atoms X and Atom Y are in the same family; but not the same row; in the periodic table.

Hence, Option B is correct.

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The question is:

Question 3 (5 points) (02.06 MC) The table compares some characteristics of two atoms_ Charged Particles Atom Number 0f Neutrons Mass Number] Use the table t0 determine the number of protons for each atom: Then_ choose the statement below that Is true about the two atoms_ points) Atom X and Atom are in the same row; but not the same family; on the periodic table Atoms X and Atom Y are in the same family; but not the same row; in the periodic table; Atom Xis in a column to the right of Atom Y in the periodic table: Atom X and Atom occupy the same position in the periodic table because they are isotopes.

How do we measure the distance?

Answers

We measure the distance through many objects like; Radar, Parallax, Capheids, Redshift and Hubble's Law etc.

Distance is termed as the size or magnitude of the displacement between two positions.  

There are several ways to measure the distance in terms of science. Firstly, Radar: It is used to measure the distance in our solar system and to measuring the distances to nearby the stars are Parallax. Whereas, Capheids is also used to measuring the distance in our galaxy and to nearby the galaxies. However, Supernovae will measuring the distances to other galaxies and the last one is Redshift and Hubble's Law it is used to measuring the distances to objects which is far away.

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Based on the structural formulas, which of the following identifies the compound that is more soluble in water and best helps to explain why ?
O Ethane, because the electron clouds of its molecules are more polarizable than those of propanol.
O Ethane, because its molecules can fit into the spaces between water molecules more easily than those of propanol can.
O Propanol, because its molecules have a greater mass than the molecules of ethane have.
O Propanol, because its molecules can form hydrogen bonds with water molecules.

Answers

Propanol, because its molecules can form hydrogen bonds with water molecules.

Reason:

Propanol contains a hydroxyl (-OH) group, which can form hydrogen bonds with the partially negative oxygen atoms in water molecules.This interaction increases the solubility of propanol in water.Ethane is a nonpolar hydrocarbon and it does not have any functional groups that can interact with water in this wayHydrogen bonding between propanol and water makes the solution more stable and thus more soluble.Nonpolar compounds like Ethane are not attracted to water molecules and are less likely to dissolve in them.

Therefore, propanol is more soluble in water than Ethane.

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Who asks scientific questions?
O A. Only someone with an education in science
B. Only scientists doing research
C. Someone trying to determine right from wrong
D. Anyone who observes the physical world

Answers

answer:
D. anyone who observes the physical world

explanation:
anyone can ask scientific questions if they understand the physical world not just scientists or educated people.

Which of the following combinations could be linked together to form a nucleotide?
A) 1, 2, and 11
B) 3, 7, and 8
C) 5, 9, and 10
D) 11, 12, and 13
E) 12, 14, and 15

Answers

In order to produce a nucleotide, the combinations 11, 12, and 13 may be combined.

The definition and purpose of a nucleotide

The basic unit of DNA and RNA are nucleotides. Genetic material is present in them. Since many biological reactions involving enzymes require coenzymes, nucleotides serve in this capacity. ATP serves as the body's energy storage system.

How does DNA get made up of nucleotides?

A phosphodiester bond forms when the 5' phosphate group of one nucleotide and the 3'-OH group of another nucleotide come together during the incorporation of nucleotides into DNA (see below). Phosphate-sugar-phosphate-sugar-phosphate forms the "backbone" of each DNA strand in this way.

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A United States firm recently won a large contract with a company in Malaysia, by providing the foreign nation's government officials with American cars and a promise of additional monetary gifts. Clearly, this procedure: Group of answer choices violates the Foreign Corrupt Practices Act. defines the common business practices of the foreign nation and should be respected. defines the terms of the business contract, and as long as both parties sign, the agreement is binding. violates the Fair and Balanced Competitive Practices Act. Do you think that humans carry aspects of the wilderness inside of them? If so, in what ways? Four of the following are ecological and economic services provided by inland wetlands; one is not. Choose the one that is not. Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount? What clause did the Treaty of Versailles blame Germany for ww1? Eipisin one example of how British actions affected U.S. history during this time period. How might history hechanged if different events hed happened? What is the rhyme of 1st stanza? A basket of the fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, draw the 2nd piece of fruit from the basket, keep that, and then draw a third piece of fruit from the same basket. What is the probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded? 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The other day,directed several of my fellow creatures in the most approved military style but do you think it waspleasant to see their bowels gush out, and hear their cries of spony? Even iny platoon, a set ofrough looking fellows as you ever saw, looked then as if they had been sickit's no use to read the Bible in the midst of words and beyonets. Somehow or another feelall the time that what I am reading and what I am doing are very different things. ither I am, ar thatbook is wrong. How can I pray for those that I mean to kill them next minuter... If the Mexicans aremade of the same blood" with myself, what right have to spillit Cant love my enemies," andkeep shooting at them all the white Beades, if I were to do to the Mexicans as I would have themda to me, I should let them aloneWhat is the central idea of this document?cote evidence from text.According to this document was the United States justified in going to war with Mexico ? describe how the respiratory areas maintain a normal breathing pattern have you ever seen your neighbors come home with groceries and put them away? didn't think so. DEMAND WORKSHEET 1. The law of demand states- when the price increases, the quantity demanded will When the price decreases, the quantity demanded will 2. If a change in price has an effect on the change in quantity, this is known as (elastic / inelastic) demand. Give a specific example of this type of demand. 3. If the federal government says that fish is healthy for you, the demand for fish will (increase / decrease). Which determinant of demand causes this change? Which way will the demand curve shift? (left/right) Draw the new demand curve-Label it Di. The decrease in entropy (the DS value is negative) observed for alkene addition reactions results from: What happens to the magnitude of the torque if the angle increases toward 90? When were the first 10 amendments to the Constitution adopted and what was their purpose? The first 10 amendments, known as the Bill of Rights were adopted when the Constitution was ratified and were intended to reserve all power to the federal government. The first 10 amendments, known as the Bill of Independence, were adopted when the Constitution was ratified and were intended to preserve the right of residents of the new nation to declare or reject citizenship. The first 10 amendments, known as the Bill of Independence, were adopted when the Constitution was ratified and were intended to carefully define individual liberties against the powers of the government. The first 10 amendments, known as the Bill of Rights were adopted when the Constitution was ratified and were intended to carefully define individual liberties against the powers of the government. what is the difference in the volumes, in cubic inches, of two spheres, one with a radius of 3 inches and the other with a radius of 5 inches. [tex]if 5(n - 6) = 1find \: n[/tex]