What is the half-life of a 12 g sample of radioisotope that decayed to 6 g in 28
years?
A. 28 years
B. 14 years
C. 56 years
D. 7 years

Answers

Answer 1

Answer:

A. 28 years

Explanation:

Applying,

R = R'(2ᵃ/ⁿ).............. Equation 1

Where R = Original sample, R' = Sample left after decay, a = Total time taken to decay, n = half life.

From the question,

Given: R = 12 g, R' = 6 g, a = 28 years.

Substitute into equation 1 and solve for n

12 = 6(2²⁸/ⁿ)

12/6 = 2²⁸/ⁿ

2²⁸/ⁿ = 2

Equation the base,

28/n = 1

n = 28 years.

Hence the half-life is 28 years


Related Questions

How many grams are in 0.89 moles of CaCI2

Answers

0.0080 grams are in 0.89 moles of CaCI₂.

What is mole ?

The mole (M) is defined as it contain exactly 6.023 × 10²³ elementary entities present in it. 1 mole is exactly equal to the 6.023 × 10²³ elementary entities.

We can solve the above problem as follows;

So,

1 Mole of substance = Molar mass of the substance.

The given compound named is Calcium Chloride.

Then,

Molar mass of Calcium chloride = 1 mole

Molar mass of CaCl₂ = 40 + 2 × 35.4

= 110.9g/mol

Therefore,

110.9 grams of CaCl₂ = 1 mole

1 gram of CaCl₂ = 1 / 110.9

0.89 grams of CaCl₂

= 1 / 110 ×  0.89

= 0.0080 grams

Thus, 0.0080 grams are in 0.89 moles of CaCI₂.

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Consider the feedback loop that occurs when you je rk your hand away from something hot. How does this reflex help to maintain homeostasis?

Answers

Considering the feedback loop that occurs when you quickly remove your hand away from something hot, this reflex helps to maintain homeostasis by ensuring that the body is free from danger and thus maintains the internal condition of the body.

What is homeostasis?

The stable internal, external, and chemical conditions that are maintained by living systems are known as homeostasis. In order for the organism to function at its best, a number of factors, including body temperature and fluid balance, must be maintained within predetermined ranges.

The body's reflexes help to maintain homeostasis in the body such as heart rate, breathing rate, blood pressure, and digestion.

Some reflexes that maintain homeostasis in the body include:

swallowing,sneezing,coughing, andvomiting

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at ph=0, the net charge on a polypeptide will be negative.
a. true
b. false

Answers

False. A polypeptide will have a negative net charge at ph=0.

A polypeptide is what?

A peptide is a small, chemically bound chain of amino acids, usually between two and fifty amino acids (called peptide bonds). A polypeptide is a longer (51 or more amino acids) chain of connected amino acids. One or more polypeptides are used to create the proteins that are produced inside of cells.

What role does the polypeptide play?

Polypeptides. Proteins are created by joining several amino acids together to form polypeptides. The coupling of two or so more polypeptides results in the formation of proteins, after which they are folded into the appropriate shape.

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How did the experiement with boiling water compare with the experiment in which magnesium was added to hydrochloric acid

Answers

In the experiment with boiling water and the experiment in which magnesium was added to hydrochloric acid both resulted in gas formation.

Hydrochloric acid and magnesium in a balanced chemical reaction

[tex]MgCl_{2}[/tex] + [tex]H_{2}[/tex] = Mg + 2HCl (g).

A gas is hydrogen . This reaction is exothermic (energy is released). New compounds are being produced due to chemical change.

Nothing new is created when water is heated to a boil. Heat is added in this endothermic reaction. Gas is steam. Both experiments a gas is released. One is a chemical change the other is a physical change. One is exothermic while other is endothermic.

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burning of a paper
chemical change or physical change​

Answers

Answer:

chemical change

Explanation:

Ash is formed as result of burning of paper which is a new product. Chemical change a new substance must form.

Answer: chemical change

Explanation: A chemical change is irreversible and also leads to the formation of a new substance. Burning paper leads to the formation of Ash. And a burnt paper can't be made to return to it's original form.

Ammonia solution used for cleaning has a pH of 8.5. So the solution is____

a) acidic
b) neutral
c) basic

Answers

Answer: C

Explanation: Basic 8- 14

explain what happens during a solar eclipse

Answers

Answer:

a solar eclipse is when the moon moves between the earth and the sun, so the moon casts a shadow on the earth

Explanation:

Answer:

the moon gets in the way of the sun and cast a shadow onto earth

Explanation:

5) Bob was walking home from school at a rate of 2 miles per hour at 3:30 and at 4:00, he
was walking 4 miles per hour. What was his rate of acceleration during that time? (Hint:
Him needs to be in hours, not minutes.)

Answers

Answer:

Explanation:

Applying,

PLZ HELP ASAP!!!!!
Aluminum oxide (Al2O3) is extracted from bauxite and provides the major source of aluminum in the world. What mass of pure aluminum can be extracted from 655 g aluminum oxide?
A. 262 g
B. 309 g
C. 346 g
D. 368 g

Answers

The mass of the pure aluminum that can be extracted from 655 g of aluminum oxide is equal to 346 g. Therefore, option (C) is correct.

What is the balanced chemical equation?

A balanced equation in which the number of atoms of each element should be same on the both sides of the equation. From the law of conservation of mass, the total mass of the elements on the reactant side as well as the product side should be equal in a balanced chemical equation.

The balanced chemical equation of the decomposition of  aluminum oxide:

2Al₂O₃ (s)  →  4 Al (s)  + 3O₂ (g)

Given, the  mass of the  aluminum oxide = 655 g

The number of moles of aluminum oxide = 655/101.96 = 6.42 mol

2 moles of aluminum oxide form  aluminum = 4 mol

Then 6.42 mol aluminum oxide form aluminum = (4/2) ×6.42 = 12.85 mol

The mass of the aluminum can be extracted = 12.84 ×27 = 346.9 g

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I’ll give brainliest if correct please help!

Answers

Answer:

the first one is the answer is to the question

2.278 x 10^-4 mol of an unidentified gaseous substance effuses through a tiny hole in 95.70 s. Under identical conditions, 1.738 x 10 ^-4 mol of argon gas takes 81.60 s to effuse. What is the molar mass of the unidentified substance

Answers

The unnamed material has a molar mass of 32 grammes per mole, and it exhales 2.278 x 10-4 molecules of an unknown gas through a minute hole in 95.70 seconds.

It takes 81.60 s for 1.738 x 10 -4 mol of argon gas to effuse under the same circumstances. The definition of molar mass is the mass in grammes of a mole of a specific chemical. The term "mole" refers to any material or compound that includes the Na number of atoms, molecules, or ions, where Na is the Avogadros number and Na = 6.023 1023. A molecule's total atomic mass expressed in grammes per mole is known as its molar mass. to figure out a molecule's molar mass

R1/R2 equals (M2/M1)1/2 2.38*10-6/2.1299*10-6 = sqrt(40/M1).

40 M1/M1 = 1.25 M2/M2 = 32 gm/mole

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A gas occupies 3.00 L at standard temperature. The volume at 350 C is 6.84 L.
True
False

Answers

Answer:

TRUE

Explanation:

Standard temperature is 273K and 350°C is 623K.

V/V' = T/T'

3/6.84 = 273/T'

T' = (273×6.84)/3

=> T' = 623K

So it is true.

Antarctica contains 26. 8 million cubic kilometers of ice. Assume that the average temperature of this ice during the summer months is20 ∘C If all of this were heated to 4 ∘C and melted to form water, what volume of liquid water would form?

Answers

Volume of liquid water  would be approximately 24 million km³.

Volume(V) of ice at 20° is;

                    Vi = 26.8×10⁶ km³

Density is depend upon the mass and volume

∴   p =m/v

where;   p = Density

               m = Mass

                v = Volume

Density of ice p(i) = 0.92g /cm³

Density of water at 4°C is;

             p(w) = 1g/cm³

If ice is melt then,

          mass(m) of water = mass(m) of ice

              p(w) = p(i)

     V = p(i)/p(w)

    0.92g / cm³/1g/cm³×26.8×10⁶ km³

        24.5 ˣ 10⁶ km³

      ≈24 million km³

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What happens to the reactivity when we move from left to right in the periodic table?

Answers

The metallic qualities drop and the non-metal characteristics rise as we progress from left to right, which results in a decrease inside the reactivity of such elements.

Metal reactivity is influenced by their propensity to lose electrons. The valence electrons could be simply eliminated as the atomic size grows, resulting in the formation of positive ions. As we proceed down the periodic table, the atomic size of metals gets bigger. The propensity to acquire electrons determines how reactive non-metals are.

Metal fosters strong down groups and declines across intervals from left to right. Indicators of nonmetallic properties rise from left to right and fall down groupings. Nonmetal reactivity goes up groups as well as down groups, increasing from left to right.

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A student performs an experiment several times to determine the enthalpy of combustion of naphthalene, an organic compound with the formula C10H8, and collects the following data: −5181. 6kJmol, −5181. 9kJmol, −5183. 5kJmol, −5180. 1kJmol, and −5184. 2kJmol. What is the relative standard deviation (RSD) for this set of data? Give the answer as a positive number

Answers

The relative standard deviation (RSD) for this set of data is 9.98.

What is the combustion enthalpy in kJ/mol?

The enthalpy change that occurs when 1 mole of a substance burns (combines vigorously with oxygen) under standard state conditions is known as the standard enthalpy of combustion also known as the heat of combustion. The enthalpy of combustion of ethanol, for instance, is 1366.8 kJ/mol.

Total = -5182.6 - 5181.9 - 5183.5 - 5180.1 - 5184.2

Total = -25912.3

number of items = 5

mean = total sum / number of items

mean = -25912.3/5

mean = -5182.46

[tex]x_{i}[/tex]                        [tex]x_{i}[/tex]-µ                           ([tex]x_{i}[/tex]-µ)²

-5181.6                0.86                         0.7396

-5181.9                 0.3                           0.09

-5181.5                 -0.1                           0.01

-5181.1                  -0.5                          0.25

-5181.2                 -0.4                           0.16

∑ ([tex]x_{i}[/tex]-µ)² = 1.2496

Standard deviation = √∑ ([tex]x_{i}[/tex]-µ)² /x

Standard deviation = √1.2496/5

Standard deviation = 0.499

Relative standard deviation = S x 100/x

Relative standard deviation = 0.499 ×100/5

Relative standard deviation = 9.98

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What is the evidence for Darwin's theory of evolution?

Answers

The evidence for Darwin's theory of evolution is the consistency of the sequence of fossils from early to recent.

Changing populations and species of organisms are at the heart of biological evolution. The British naturalist Charles Darwin is most likely the first individual that comes to mind today when we discuss evolution. The biological evolution via natural selection theory was put out by British biologist Charles Darwin. Darwin believed that species change over time, give rise to new species, and descended from a single ancestor through the process of evolution. Charles Darwin's theory of evolution is known as natural selection. Animals with heritable qualities that aid in survival and reproduction will often generate more offspring than their contemporaries due to the limited resources in nature, increasing the frequency of such traits through subsequent generations.Populations change throughout time through natural selection, becoming increasingly adapted to their surroundings. Natural selection is reliant on the environment and necessitates the presence of heritable variation within a population.

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75g of a potato chip are burned in a calorimeter that contains 2L of water initially at 297K. After the combustion, the temperature rises 12oC. How much heat is involved per gram of potato chip burned

Answers

The amount of heat involved per gram of potato chip burned is 8388J when a 75g of a potato chip are burned in a calorimeter that contains 2L of water initially at 297K.

Given mass of potato chips burned = 75g

Mass of water (m) = 2L = 2000g

Initial temperature (T1) = 297K - 273 = 24oC.

Final temperature after combustion (T2) = 12oC

We know that q = mC∆T where q is heat and C is specific heat of water =  4.2J/g/oC.

q = 2000 x 4.2 x (24-12)

q = 8388J

Hence the heat evolved per gram of potato chip burned is 8388J

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A drum of hight 1.5m
is filled with water (density 100 kg/m^3). Find
the pressure of water at the bottom of drum.

Answers

Answer:

pressure= density × gravity × height

Explanation:

100 × 10 × 1.5= 1500 pa

Would greatly appreciate the help
9.0 mol Na2S reacts with 8.0 mol
CuSO4 according to the equation below:
Na2S + CuSO4

Na2SO4 + CuS
Considering only the 8.0 mol CuSO4,
how many moles of CuS form?
? mol CuS
Round your answer to the tenths place.

Answers

Mole measure the number of elementary entities of a given substance that are present in a given sample. Therefore, 8.0 mol of CuS form when  8.0 mol CuSO[tex]_4[/tex]  reacts.

What is mole?

The SI unit of amount of substance in chemistry is mole. The mole is used to measure the quantity or amount of substance. We know one mole of any element contains 6.022×10²³ atoms which is also called Avogadro number. The stoichiometry represents the number of moles.

Na[tex]_2[/tex]S + CuSO[tex]_4[/tex]→ Na[tex]_2[/tex]SO[tex]4[/tex] + CuS

moles of  Na[tex]_2[/tex]S  =9.0 mol

moles of  CuSO[tex]_4[/tex]=8.0 mol

Since CuSO[tex]_4[/tex] is limiting reagent

moles of CuS=8.0 mol

Therefore, 8.0 mol of CuS form when  8.0 mol CuSO[tex]_4[/tex]  reacts.

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Consider the orbital diagram
shown. Which electron rule is
broken in the diagram?
1
1s 2s
2p
A. Aufbau Principle
B. Hund's Rule
C. Pauli Exclusion Principle

Answers

Answer: Aufbau Principle

Explanation:

Aufbau Principle - states that lower energy orbits must be completely filled before moving onto a higher energy level

Hund's Rule - pairing rule; all boxes in the level must be given one arrow before adding a second arrow

Pauli Exclusion Principle - each box must contain two arrows pointing in different directions

This question doesn't completely fill the 1s level before moving onto the next 2s level. Therefore, the digram violates the Aufbau Principle.

A nurse is caring for a client who has a serum potassium level of 3.1 mEq/L. Which of the following actions should the nurse take first?
A) Obtain an ECG.
B) Administer oral potassium
C) Encourage potassium-rich foods
D) Monitor I & O

Answers

To solve this we must be knowing each and every concept related to  potassium level. Therefore, the correct option is option A that is Obtain an ECG.

What is potassium level?

This condition is known as hyperkalemia, or excessive potassium. The Mayo Clinic states that the potassium level in blood should be between 3.6 to 5.2 millimoles a liter (mmol/L).

Critically high potassium levels are those over 5.5 mmol/L, while levels above 6 mmol/L could be lethal. A nurse is caring for a client who has a serum potassium level of 3.1 mEq/L. She should Obtain an ECG.

Therefore, the correct option is option A that is Obtain an ECG.

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How many neutrons are there in 14 gram of c14?

Answers

48×10²³ neutrons are there in 14 gram of C14

Any material that is totally composed of the same kinds of atoms is said to be an element. For instance, the element carbon is made up entirely of carbon atoms. The number of protons in an atom is indicated by the element's atomic number. The quantity of protons and electrons inside a neutral atom must match.

Neutron in 14 grams of C14 can be calculate as follows:

Mass number (or atomic weight) of ₆C¹⁴ is 14.

we know that Avogadro number =6×10²³

The number of neutrons in 12g of ₆C¹⁴ can be calculate by multiplying the number of neutron to the avogadro number

The total amount of protons and neutrons makes up mass. There will thus be = 14 - 6 = 8 neutrons.

neutron = (A−Z)×6×1023=(14−6)×6×10²³=48×10²³

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what are the two quantities in this module for which we will develop unit factors to do dimensional analysis with chemical substances?

Answers

The two quantities in this module for which we will develop unit factors to do dimensional analysis with chemical substances are volume and mass.

What is Volume?

Volume is a measure of the amount of three-dimensional space occupied by an object or substance. It is often measured in liters, cubic centimeters, or cubic meters. Volume is used to measure the capacity of a container, the size of an object, or the amount of liquid or gas in a given space. It is also used to determine the mass of an object, as the density (mass per unit volume) is often known.

The two quantities of volume and mass are important for doing dimensional analysis with chemical substances because they help to measure the amount of a substance in different units. Volume is important for measuring the quantity of liquid substances, and mass is important for measuring the quantity of solid substances. Both of these quantities are necessary for accurate and precise measurements of chemical substances, making them essential for dimensional analysis.

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What is the cause of periodic repetition of properties of elements?

Answers

The periodic repetition of properties of elements is due to the regular arrangement of electrons in the atoms of those elements. This regular arrangement is known as the "periodic table" of elements. This is due to the behavior of electrons in atoms and the increasing number of valence electrons as atomic number increases, resulting in a regular pattern of electron configurations and properties.

Elements are arranged in the periodic table according to increasing atomic number. Elements in the same vertical row (group) have similar chemical and physical properties, and elements in the same horizontal row (period) have similar electronic configurations of their atoms.

The reason for this repeating periodic property is the behavior of the electrons in the atoms. As the atomic number increases, the number of protons in the nucleus increases, and the number of electrons in the atom increases. These electrons occupy different energy levels or shells around the atomic nucleus. The outermost shell electrons, the so-called valence electrons, are responsible for the chemical behavior of atoms and participate in chemical bonds. As the atomic number increases, the number of valence electrons in the atom increases. This results in a regular pattern of electron configurations and thus a regular pattern of properties.

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What is the group number of the element in the periodic table?

a
1

b
2

c
13

d
15

Answers

The group number of the element in the periodic table is equal to 15 as it has five valence electrons. Therefore, .option D is correct.

What is a valence electron?

Valence electrons can be explained as the electrons occupying the outer shell of an atom while the electrons placed in the inner shell are known as core electrons. Lewis structures of the elements can be helpful to calculate valence electrons and know the types of bonds.

Valence electrons can be filled in different shells, causing interaction between atoms and leading to the formation of chemical bonds.

The five elements have five electrons in their valence shell therefore it belongs to nitrogen family. The group number can be calculated as 10 + 5 = 15

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Show all your work and make sure to label all the numbers with the correct units if you do, I will give you brainliest, 5 stars, and a thank you:

A: A sample of sulfuric acid has a mass of 15.0 g. How many molecules are in this sample?

B: How many moles of sulfuric acid are present in 45 g of this sample?

C: How much would a .750 mole sample of Ammonium sulfate weigh?

D: What is the mass percent of hydrogen in this sample?

Answers

Answers
A = 21 molecules
B = 0.45 moles
C = 99.1 grams
D = 2.055%

Explanations are below

A.
1. Write the formula for sulfuric acid
H2SO4

2. Find how many g/mol sulfuric acid is
H = 2*1.008 = 2. 016
S = 1 * 32.07 = 32.07
O = 4 * 15.999 = 63.996

Add the products together
2.016 + 32.07 + 63.996 = 98.082 g/mol

2. Convert grams to mol
15.0 grams * 1 mol/98.082 = 0.152933259925369 ~ 0.15 mol

3. Convert mol to molecules
0.15 mol * 6.02*10^23 molecules/ 1 mol = 20.769 molecules ~ 21 molecules

B.
1. Convert grams to moles
45 grams * 1 mol/ 98.082 grams = 0.458799779776106 ~ 0.45 moles

C.
1. Write the formula for ammonium sulfate
(NH₄)₂SO₄

2. Find the weight of the formula above
N = 2 * 14.01 = 28.02
H = 8 * 1.008 = 8.064
S = 1 * 32.07 = 32.07
O = 4 * 15.999 = 63.996

Add the products together
28.02+8.064+32.07+63.99 = 132.153 g/mol

3. Convert mol to grams
0.750 mol * 132.153 g/ 1 mol = 99.11475 grams ~ 99.1 grams

D.
1. Find the molar mass of all elements and combined

H = 2*1.008 = 2. 016
S = 1 * 32.07 = 32.07
O = 4 * 15.999 = 63.996

Add the products together
2.016 + 32.07 + 63.996 = 98.082 g/mol

2. To find the mass percent, use the equation molar of element divided by molar mass of the products combined in parentheses times 100.
(2.016/98.082) * 100 —> 0.02055423013397 * 100 = 2.05542301339695 %
This can written as 2.055% since 2.016 has 4 significant figures

During the chemical reaction that takes place inside a hot pack, is energy being released to the surroundings or taken in from the surroundings and
why?

Energy is taken in because all chemical reactions take in energy.
Energy is released because the temperature of the surroundings increases.
Energy is taken in because the temperature of the surroundings increases.
Energy is released because all chemical reactions release energy.
2

Answers

Answer:

Energy is released because the temperature of the surroundings increases.

Explanation:

"Energy is released because the temperature of the surroundings increases" is true because when the temperature of the hot pack increases, that means that energy (heat/thermal) is being released.

"Energy is taken in because the temperature of the surroundings increases" is false because energy is actually being released in this chemical reaction.

"Energy is taken in because all chemical reactions take in energy" is false because energy is being released in this reaction and not all chemical reactions absorb energy.

"Energy is released because all chemical reactions release energy" is false because not all chemical reactions release energy.

how many chlorine atoms are in 0.650 mol of ca(clo4)2?

Answers

Chlorine atoms that are present in 0.650 mol of ca(clo4)2 is : 7.83 *10^23.

What is meant by molar mass?

Mass in grams of 1 mole of the substance is called the molar mass of a substance. We can obtain a substance's molar mass by summing the molar masses of its component atoms. We can use the calculated molar mass to convert between mass and number of moles of a substance.

As we know, one mole of any atom is equivalent to the Avogadro's number or 6.02 x 10²³ particles.

0.650 * 6.023 * 10^23 * 2

= 7.83 *10^23 chlorine atoms.

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Consider the positions of barium (Ba), sulfur (S), silicon (Si), and calcium (Ca) on the periodic table. The atoms of which element require the least amount of energy to give up an electron when forming chemical bonds?
barium
sulfur
silicon
calcium

Answers

According to the electronic configuration and shielding effect along a group barium  requires the least amount of energy to give up an electron when forming chemical bonds.

What is electronic configuration?

Electronic configuration is defined as the distribution of electrons which are present in an atom or molecule in atomic or molecular orbitals.It describes how each electron moves independently in an orbital.

Knowledge of electronic configuration is necessary for understanding the structure of periodic table.It helps in understanding the chemical properties of elements.

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Answer:

A. Barium

Explanation:

The higher the metallic character, the less energy needed to give up an electron.

The metallic character is higher in the higher period numbers and in the lower group numbers. Out of all the elements listed, Barium would require the least amount of energy.

Which one of the following atoms or ions has the largest radius?
A. K+ B. Cl– C. K D. Na

Answers

Option (c) is correct. K atom has the largest radius as the atomic size decreases from across the period and potassium is located in the start of period 3  in the periodic table.

According to the Periodic table, atomic size decreases when going from left to right across a period. Atomic size increases when going from top to bottom down a group. If you look at elements that are located in the same group, potassium will have a larger atomic radius when compared with sodium and  chlorine. Since potassium is located at the start of period 3, potassium will have a larger atomic radius and thus the largest atomic radius of the four given atoms. Atomic radii vary in a predictable way across the periodic table. From top to bottom in a group, orbitals corresponding to higher values of the principal quantum number (n) are being added, which are on average further away from the nucleus, thus causing the size of the atom to increase.

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Calculate Mechanical Advantage To lift a crate, a pulley system exerts a force of 2,750 N. Find the mechanical advantage of the pulley system if the input force is 250 N What groups of Americans were potentially helped by Andrew Jacksons removal of the bank? How were they helped? This art is often created in order to make more than one copy. Once the image is created on the original medium, it can be reused multiple times. Mrs. Mendez held a reading contest inher third-grade class. The students read160 books. The girls read 84 books.What percent of the books did the boysread? In a survey of 500 high school students, 108 have taken Trigonometry, 391 have taken Physics, and 58 have taken both. How many have taken either Trigonometry or Physics? The function of cellular respiration is to LINKS WILL GET REPORTED NEED HELP PLS Why was the food pyramid changed? The base of an open rectangular box is of length (2x + 5) cm and width x cm.The area of this base is 58 cm.The height of the open box is (x - 2) cm.I have attached a pic (I already did part (a) and (bi) and you may use the answers to help you do the (bii) question)+ the answer for (bi) if you cant see it, it is 4.28 and -6.78This is the question:b) (ii) Hence calculate the volume of the box, stating the units of your answer. Workers at an animal reserve are preparing a new exhibit formeerkats. The exhibit must include at least 6.5 m2of space for each meerkat. The area of the exhibit is 78 m.How manymeerkats can the exhibit hold? Write, solve, and graph aninequality to find the possible numbers of meerkats.Show your workpls help! i will give brainly Which of these resources would be MOST helpful for finding information about beekeepers for a school report?es )A)a book of poems about beesB)a thesaurus entry about beesCa newspaper article about a beekeeperD)a dictionary entry for the word beekeeper The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f(p)= -50p2 + 1600p - 11,000, where p is the price per shirt and f (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button. Part 1 of 3 (a) The price that generates the maximum profit is S 16 Part 2 of 3 (b) The maximum profit is $ 1800 Part: 2/3 Part 3 of 3 (c) The price(s) that would enable the company to break even: Jim purchased x iced teas and y soft pretzels at a cricket game. He spent atotal of $32. The equation below describes the relationship between thenumber of iced teas and the number of soft pretzels purchased.3x+2y=32The ordered pair (4, 10) is a solution of the equation. What does the solution(4, 10) represent?HELPPPP What is the value of tan ? What is the summary of Mendel's principles? Commercial law is what Write a descriptive paragraph explaining how the major rivers of North Africa, Southwest Asia, and Central Asia benefit the people of the region. What do you think is the main purpose of writing a poem? 22 statement best explains the changes in borders shown between maps A and B? A $90 flannel shirt is on salle for 30% less for fall shoppers. What is the sale price of the warm winter flannel shirt?