Iron exists in nature as a mixture of predominantly three isotopes: 5426Fe (53.94 amu), 5626Fe (55.93 amu), and 5726Fe (56.94 amu). If the most common isotope, 5626Fe, accounts for 91.75% of iron atoms, and the average atomic mass of iron is 55.85 amu, what is the percent abundance of the rarest of these three isotopes of iron?

Answers

Answer 1

The percent abundance of the rarest of these three isotopes of iron is 0.965%.Hence, Option (C) is correct.

Given Data:

5426Fe (53.94 amu), 5626Fe (55.93 amu), and 5726Fe (56.94 amu).

Most common isotope, 5626Fe accounts for 91.75% of iron atoms.

Average atomic mass of iron is 55.85 amu.

To find: The percent abundance of the rarest of these three isotopes of iron.

Solution:

The average atomic mass of iron is given as follows;

Average atomic mass = Σ (isotopic mass × fractional abundance)

Rearranging this equation, fractional abundance = (isotopic mass/average atomic mass) × 100%

Let's find the fractional abundance of all three isotopes of iron:

56 26 Fe (most abundant isotope)Fractional abundance = (55.93/55.85) × 100%

Fractional abundance = 1.001%54 26 Fe

Fractional abundance = (53.94/55.85) × 100%Fractional abundance = 0.965%57 26 Fe

Fractional abundance = (56.94/55.85) × 100%Fractional abundance = 1.98%

Thus, the percent abundance of the rarest of these three isotopes of iron is 0.965%.Hence, Option (C) is correct.

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Related Questions

If the temperature remains constant and pressure is INCREASED on gas, what will happen to the volume?


The volume will increase.
The volume will decrease.
The volume will not change.
The volume will randomly increase and decrease, and keep doing this.

Answers

Answer:

I believe the volume should increase.

Complete and balance the following redox equation in acidic solution using the smallest whole number coefficients. What is the coefficient of SnO₂ in the balanced equation? Sn + HNO₃ → SnO₂ +NO₂ +H₂O a. 2
b. 1
c. 4
d. 3

Answers

The coefficient of SnO₂ in the balanced equation is c. 4.

To balance the redox equation in acidic solution, we need to ensure that the number of atoms of each element and the total charge are balanced on both sides of the equation.

By assigning appropriate oxidation numbers to each element and considering the changes in oxidation states, the balanced equation is as follows:

Sn + 4HNO₃ → SnO₂ + 4NO₂ + 2H₂O

In the balanced equation, the coefficient of SnO₂ is 4, indicating that 4 molecules of SnO₂ are produced. This balanced coefficient ensures that the number of tin (Sn) atoms and oxygen (O) atoms are equal on both sides of the equation. Therefore, the correct answer is c. 4.

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HELPHELPHELPHELPHELPHELPHELP

Answers

Answer:

C

Explanation:

increasing T (knowledge of direct proportion and Inverse proportion)

C . Po ang tamang sagot

Why is it dangerous to have electric appliances near you when you are taking a bath?

Answers

Answer:

Because water conducts electricity, so if an electrical current were to meet the water while you're in there taking a bath, you would essentially be surrounded by a huge conductor.

how is liming a lake similar to a doctor prescribing medicine for a patient?

Answers

an anti-acid medication

Both the appearance and cooking times of food items are affected by the way a piece of food is:

Select one:
a. examined.
b. tenderized.
c. purchased.
d. cut.

Answers

Answer:

D.  

cut.

Explanation:

Both the appearance and cooking times of food items are affected by the way a piece of food is cut. Thus option D is correct.

what are the types of food ?

Food has an important role in both culture and cuisine of every country, Different types of food combine to form culinary delights which can bring people together

Food is obtained from both plants and animals where Plants are the primary producers in the food pyramid and all organism directly or indirectly obtain food from plants.

Herbivorous animals get their food from their  plant ecosystem where Some animals, obtain food by hunting other animals while others depend on decaying matter of plants and animals  which are called decomposers like bacteria, fungi.

Food offers  variety forms  depend upon climatic conditions and availability and depend on the different factors like Physical determinants ,Biological determinants, Economical determinants.

Thus option D is correct.

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3.4
Why is this cocktail not the perfect medication to treat infections by these
bacteria?​

Answers

Answer:

many bacteria are resistant to penicillin and other β-lactam antibiotics - some bacteria have beta-lactamase enzymes and are able to break down the antibiotics - as a result, many drugs are combined with other drugs that are β-lactamase inhibitors.

Explanation:

Quizlet

why is it necessary to make sure the stopcock is in the open position and then immediately replace the stopper and syringe assembly in the Erlenmeyer flask after adding the hydrochloric acid to the marble chips?

Answers

It is important to keep the stopcock open after adding hydrochloric acid to the marble chips in an Erlenmeyer flask for gas collection and accurate measurement of the carbon dioxide produced during the reaction.

Why is it necessary to make sure the stopcock is in the open position and then immediately replace the stopper

By allowing the gas to escape into the syringe or collection apparatus, the experiment can obtain precise gas volume measurements. Additionally, immediately replacing the stopper and syringe assembly helps prevent gas loss and maintains safety by avoiding the build-up of excessive pressure inside the flask.

These measures ensure the reliable and controlled execution of the experiment while obtaining accurate data.

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An organism that makes or creates their own food?

A. Consumer
B. Producer
C. Decomposer

Answers

I think producer

option is A

Answer:

B. Producer

Explanation:

A producer is normally a type of plant which is food for the animals. Decomposers are things that decompose dead living things into nutrients and etc. Consumers are the ones who normally feed on producers in the food web and are small animals.

Help me pleaseeeeeeeeeee

Answers

Answer:

I think A I hope it's A

Explanation:

hsjsjakkska

Mg(s) + HCl (l) --> H2 (g) +MgCl2 (s) A student conducted an experiment with 2g of magnesium and 3 mL of 6M hydrochloric acid. Equal volumes (3mL) of hydrochloric acid and magnesium strips (2g) were put into each tube. What are the reactants in this reaction?

Answers

Answer: Do you have an image so I can solve it?

Thallium-201 has a half-life 73 hours. If 4.0 mg of thallium-201 disintegrates over a period of 6.0 days and 2 hours, how many milligrams of thallium-201 will remain?

Answers

Answer:

[tex]\huge\boxed{\sf 1.0 \ mg}[/tex]

Explanation:

Half-life = 73 hours

Disintegration period = 6 days 2 hours = (6*24) hours + 2 hours

= 144 hours + 2 hours

= 146 hours

No. of Half lives = Disintegration period / Half-life

No. of Half lives = 146 hours / 73 hours

No. of Half lives = 2

Hence, there are 2 half lives passed in 6 days 2 hours.

Amount of thallium-201 left after first half-life:

= 4.0 mg / 2

= 2.0 mg

Amount of thallium-201 left after second half-life:

= 2.0 mg / 2

= 1.0 mg

Hence, the amount of thallium-201 left after 6.0 days and 2 hours is 1.0 mg.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A 0.100 M oxalic acid, HO2CCO2H, solution is titrated with 0.100 M KOH. Calculate the pH when 25.00 mL of oxalic acid solution is titrated with 35.00 mL of NaOH. Ka1 = 5.4 × 10−2 and Ka2 = 5.42 × 10−5 for oxalic acid

Answers

A 0.100 M oxalic acid, HO₂CCO₂H, solution is titrated with 0.100 M KOH. Calculate the pH when 25.00 mL of oxalic acid solution is titrated with 35.00 mL of NaOH. Ka1 = 5.4 × 10−2 and Ka2 = 5.42 × 10−5 for oxalic acid is 1.94.

Oxalic acid is a dicarboxylic acid with the chemical formula HO₂CCO₂H, with a pKa1 of 1.25 and a pKa2 of 4.14. A titration is a process in which a solution of known concentration is added to a solution of unknown concentration until the equivalence point is reached.

The goal of a titration is to determine the concentration of the unknown solution. A 0.100 M oxalic acid solution is titrated with 0.100 M KOH. The pH is calculated when 25.00 mL of oxalic acid solution is titrated with 35.00 mL of NaOH. Ka1 = 5.4 × 10−2 and Ka2 = 5.42 × 10−5 for oxalic acid. Here is how to calculate the pH when 25.00 mL of oxalic acid solution is titrated with 35.00 mL of NaOH:

Step 1: Calculate the moles of oxalic acid

moles of oxalic acid = concentration x volume

moles of oxalic acid = 0.100 M x 0.025 L

moles of oxalic acid = 0.0025 mol

Step 2: Calculate the moles of NaOH

moles of NaOH = concentration x volume

moles of NaOH = 0.100 M x 0.035 L

moles of NaOH = 0.0035 mol

Step 3: Determine which species is in excess

0.0025 mol of oxalic acid reacts with 0.0025 mol of KOH

0.0010 mol of oxalic acid reacts with 0.0035 mol of KOH

0.0010 mol of oxalic acid is consumed in the reaction

The excess moles of NaOH = 0.0035 - 0.0010 = 0.0025 mol

Step 4: Calculate the concentration of the remaining OH- ions

Concentration of OH- ions = moles of OH- ions / volume

Concentration of OH- ions = 0.0025 mol / 0.060 L

Concentration of OH- ions = 0.0417 M

Step 5: Calculate the concentration of H+ ions

Ka1 = [H+][C₂O₄₂-]/[HC₂O₄-]

5.4 x 10^-2 = x^2 / (0.100 - x)

Assuming that x is much smaller than 0.100, x = [H+] = 0.115 M

Step 6: Calculate the pH

pH = -log[H+]

pH = -log(0.115)

pH = 1.94

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Select the correct answer.
What data points do we combine to make the integrated rate law?

a) initial concentration and time

B) concentration at some later time, time, and rate constant

C) initial concentration, concentration at some later time, and time

D) initial concentration, concentration at some later time, time, and rate constant

Answers

Answer:

b???

Explanation:

Answer:

Pretty sure it A.

Explanation:

I just thought that cause what exactly does 'some later time' mean?

How many grams are in 2.33 x 1023 molecules of Fe203?

Answers

61.9 grams

2.33x10^23 molecules (159.7 g Fe2O3/6.02x10^23 molecules) = 61.9 g

PLEASE HELP ME NO LINKS

Answers

Answer: I don’t think the answer is A or C. Maybe B.

The word chemosynthesis means

the synthesis of organic compounds by bacteria or other living organisms using energy derived from reactions involving inorganic chemicals, typically in the absence of sunlight.

Explanation:

WILL RATE BRAINLIST



Your friend works in a bookstore where lab books for science are assembled. Each lab book uses 2 covers, 50 sheets of lined paper, 25 sheets of graph paper and 3 staples. Her inventory includes 150 covers, 7500 sheets of lined paper and 3000 sheets of graph paper and 250 staples. What is the “limiting reactant?” How many complete lab books can be made? How much of each of the other reactants remain in excess?

Answers

Answer:

The limiting reactant is the covers.

We are left with 3750 sheets of lined paper, 1125 sheets of graph paper and 25 staples.

Explanation:

the reaction is:

B - book

C - cover

Sl = sheet of lined paper

Sg - sheet of graph paper

St - staple

1B = 2C + 50Sl + 25Sg + 3St

We have covers for 150/2 = 75 books

We have lined paper for 7500/50 = 150 books

We have graph paper for 3000/25 = 120books

We have Staples for 250/3 = 83.(3) books, so for 83 books as we cannot make 1/3 of a book.

Because we only have covers for 75 books, covers are the limiting reactant.

After making 75 books we are left with:

0 covers

7500 - 75*50 = 3750 sheets of lined paper

3000 - 75*25 = 1125 sheets of graph paper

250 - 75*3 = 25 staples

The limiting reactant should be the covers.

We are left with 3750 sheets of lined paper, 1125 sheets of graph paper, and 25 staples.

Calculation of the limiting reaction:

The reaction should be like:

B - book

C - cover

Sl = sheet of lined paper

Sg - sheet of graph paper

St - staple

Now the equation should be

1B = 2C + 50Sl + 25Sg + 3St

We have covers for 150/2 = 75 books

We have lined paper for 7500/50 = 150 books

We have graph paper for 3000/25 = 120books

We have Staples for 250/3 = 83.(3) books, so for 83 books as we cannot make 1/3 of a book.

Now the left should be

7500 - 75*50 = 3750 sheets of lined paper

3000 - 75*25 = 1125 sheets of graph paper

250 - 75*3 = 25 staples

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(Please help 15 points the assignment is late) (multiple questions) (everything is virtual task )
Part 1 What do you think will happen when an effervescent tablet is placed in the water under each inverted glass?

Part 2 Note the changes in the water level and the air space in both glasses, and write down your observations.

Part 3 Did your prediction match your observation?

Part 4. When a substance easily dissolves in a liquid, it has high solubility in that liquid. When a substance does not easily dissolve in a liquid, it has low solubility in that liquid. Solubility of a gas in water describes how well the liquid can “hang on” to gas, instead of releasing it into the air. Based on the results of your experiment, do you think that CO2 has a higher solubility in hot water or cold water? Why?

Part 5 Soda pop is carbonated with CO2. Mark puts one bottle of soda pop in the refrigerator and leaves the other out in the hot sunlight. After one hour, he opens both bottles. Which bottle will likely have more fizzing and bubbles? Why?

Part 6 One result of climate change is that ocean temperatures are increasing. If the temperatures continue to rise, what effect will that have on the oceans’ ability to retain CO2? How might this change affect the atmosphere?

Answers

The dissolution of gases in water is exothermic therefore oceans will dissolve less CO2 as their temperatures rise.

What is  effervescence?

The term  effervescence refers to the rise of a gas in a system or simply put, it is the evolution of gas. When an  effervescent tablet is placed in the water under each inverted glass, a gas will rise in each glass.

The air space in the hot glass  is greater than the air space in the cold glass  We can see that the gas has a lower solubility in hot water than in cold water. This is because, solubility of gases is exothermic.

The bottle that is left in the hot sun will have more fizzing because the CO2 does not dissolve owing to the higher temperature.

The rise in ocean temperature means that the oceans will dissolve less CO2 in the future and reduce the CO2 holding capacity of the oceans.

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The coffee shop near the local college normally sells 10 ounces of roasted coffee beans for $10. But the shop sometimes puts the beans on sale. During some sales, it offers "33 percent more for free." Other weeks, it takes "33 percent off" the normal price. After reviewing the shop's sales data, the shop's manager finds that "33 percent more for free" sells a lot more coffee than "33 percent off." Are the store's customers making a systematic error? Which is actually the better deal? a. No, they are not making a systematic error because "33 percent more for free" is the better deal. b. Yes, they are making a systematic error because "33 percent off" is the better deal. c. This cannot be determined from the information given.

Answers

The “33 percent more for free” deal is better than the “33 percent off” deal. This is because the “33 percent more for free” deal gives you 13.3 ounces of coffee for $10, while the “33 percent off” deal gives you only 6.7 ounces of coffee for $6.67

For the “33 percent more for free” deal:

10 dollars for 10 ounces of coffee

13.3 ounces of coffee for 10 dollars (33% more)

Price per ounce = 10/13.3 = $0.75 per ounce

For the “33 percent off” deal:

10 dollars for 10 ounces of coffee

6.7 ounces of coffee for $6.67 (33% off)

Price per ounce = 6.67/6.7 = $0.99 per ounce

So, the “33 percent more for free” deal is better than the “33 percent off” deal because you get more coffee for your money.

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.Rank the following compounds in order of increasing viscosity at a given temperature. CH3OH, CH3CH3, H2C=O
A) H2C=O < CH3CH3 < CH3OH
B) CH3CH3 < H2C=O < CH3OH
C) CH3OH < CH3CH3 < H2C=O
D) H2C=O < CH3OH < CH3CH3

Answers

The correct answer is D) H2C=O < CH3OH < CH3CH3Explanation:Viscosity is the measure of the resistance of a liquid to flow.

It is the ratio of shear stress to shear rate, which is a measure of how fast the fluid is moving between the plates. It can be measured in different units such as poise or centipoise.The viscosity of a liquid is affected by the attractive forces between the molecules, which depend on the type of molecules and their intermolecular forces. The stronger the intermolecular forces, the more viscous the liquid.In this case, CH3OH (methanol), CH3CH3 (ethane), and H2C=O (acetone) are the compounds to be ranked. Methanol is a polar molecule with hydrogen bonding and has a higher viscosity than ethane, which is nonpolar and has weak van der Waals forces. Acetone is a polar molecule with dipole-dipole interactions that are intermediate between methanol and ethane. The order of increasing viscosity is therefore H2C=O < CH3OH < CH3CH3.

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which of the following is true of carbon? select all that are correct. group of answer choices it can form a maximum of four covalent bonds with other elements. it can form a maximum of three covalent bonds with other elements. it is highly electronegative. it can form both polar and nonpolar bonds. it can only form polar molecules.

Answers

Based on the given options, the following statements are true of carbon: It can form a maximum of four covalent bonds with other elements and It can form both polar and nonpolar bonds.

Carbon is an element with atomic number 6, meaning it has six protons in its nucleus. It has four valence electrons, which are the electrons involved in bonding with other atoms.

Carbon's electron configuration allows it to form four covalent bonds by sharing its valence electrons with other atoms. This property is known as tetravalency and is a fundamental characteristic of carbon.

Additionally, carbon can form both polar and nonpolar bonds depending on the atoms it is bonded to and the electronegativity difference between them.

When carbon bonds with atoms of similar electronegativity, such as hydrogen, the bond is nonpolar because the electrons are shared equally. However, if carbon bonds with atoms of higher electronegativity, such as oxygen or nitrogen, the bond becomes polar due to the unequal sharing of electrons.

In summary, carbon can form a maximum of four covalent bonds with other elements due to its tetravalent nature. It is not highly electronegative itself but can form both polar and nonpolar bonds depending on the atoms it is bonded to. Therefore, the correct statements are:

It can form a maximum of four covalent bonds with other elements.

It can form both polar and nonpolar bonds.

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What is the standard units of mass, length and time in the (a) CGS system (b) SI system​

Answers

Explanation:

a. CGS system: centimetre as the unit of length, the gram as the unit of mass, and the second as the unit of time

b. SI system: metre as the unit of length, the kilogram as the unit of mass, and the second as the unit of time

Answer : the most common units of mass are the gram and kilogram.
And length and time in Seconds.

full form of CGS is:

. Centimetre

. Gram

. Second

This can be converted in terms of SI unit and then cgs unit as: (physical quantity, si unit, cgs unit)

Length — metre = centimetre
Mass — kilogram = gram
Time — second = second

What is the final concentration of a solution prepared by using 75.0 mL of 18.0 M H2SO4 to prepare 500. mL of solution?
A) 2.35 M
B) 8.33×10-3 M
C) 15.7 M
D) 2.70 M
E) 1.20 M

Answers

The required correct answer is D) 2.70 M

The final concentration of a solution prepared by using 75.0 mL of 18.0 M H2SO4 to prepare 500. mL of solution is 2.70 M. Here's how to calculate it:We will use the formula:M1V1 = M2V2where:M1 = initial molarityV1 = initial volumeM2 = final molarityV2 = final volumeGiven that M1 = 18.0 M, V1 = 75.0 mL, and V2 = 500. mL. We can find M2 as follows:M1V1 = M2V218.0 M x 75.0 mL = M2 x 500. mLM2 = (18.0 M x 75.0 mL)/500. mL= 2.70 MTherefore, the final concentration of the solution is 2.70 M. The correct option is D.

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Atomic Size: Determine which of the following element pairs is the larger one

1. Carbon or Fluorine

2. Iodine or Fluorine

3. Krypton or Argon

4. Hydrogen or Potassium

Answers

1. Carbon
2.iodine
3.Krypton
4.potassium

Which is a characteristic of a physical change?

a
The chemical bonds in the substance are unchanged.

b
The change cannot be seen.

c
The molecules all move at the same speed.

d
The substance has reacted with another substance.

Answers

The answer for your question is a

30g of Aluminum at 80°c is added to 30g of water at 10°c . Predict
the final temperature of the water

Answers

Answer:

the explanation of this 20

Explanation:

20 c

A transition metal complex has a a maximum absorbance of 610.7 nm. What is the crystal field splitting energy, in units of kJ/mol, for this complex? Express your answer using at least three significant figures.

Answers

The crystal field splitting energy for the transition metal complex with a maximum absorbance of 610.7 nm is approximately 53.8 kJ/mol.

The absorbance maximum at 610.7 nm corresponds to the energy of the absorbed light, which can be calculated using the equation E = hc/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength. Rearranging the equation to solve for the crystal field splitting energy (Δ), we get Δ = hc/λ. Plugging in the values, Δ = (6.626 x 10^-34 J·s * 3.00 x 10^8 m/s) / (610.7 x 10^-9 m). The result is approximately 3.23 x 10^-19 J. To convert this to kJ/mol, we need to multiply by Avogadro's number (6.022 x 10^23) and divide by 1000, giving us a crystal field-splitting energy of approximately 53.8 kJ/mol. This value is obtained by calculating the energy of the absorbed light using the equation E = hc/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength. By rearranging the equation and plugging in the values, we can determine the crystal field splitting energy, which represents the energy difference between the d-orbitals in the complex.

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if you mix equal volumes of 1 m hf and 1 m koh, is the resulting solution acidic , basic, or neutral?

Answers

The resulting solution is neutral when equal volumes of 1 M HF and 1 M KOH are mixed.

When equal volumes of a strong acid and a strong base are mixed, the resulting solution is neutral. In this case, 1 M HF (hydrofluoric acid) and 1 M KOH (potassium hydroxide) are both strong acids and bases, respectively.

When the HF and KOH react, they undergo a neutralization reaction:

HF + KOH → KF + H2O

The reaction between a strong acid and a strong base forms a salt (KF in this case) and water. Since KF is a neutral salt and water is neutral, the resulting solution will be neutral.

When equal volumes of 1 M HF and 1 M KOH are mixed, the resulting solution is neutral.

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A gaseous mixture contains 5.0 moles of nitrogen and 10.0 moles of helium . What is the total pressure if the temperature is 25 degrees C and the volume is 3.0 L? a) 122 atm
B) 56 atm
d) 2.0 atm
C)3.0 atm

Answers

Answer:

A) 122 atm

Explanation:

PV = nRT

Solve for P --> P = nRT/V

n = 10.0 mol + 5.0 mol = 15.0 mol

R = 0.08206 L atm / mol K

T = 25 + 273 = 298 K

V = 3.0

P = (15.0)(0.08206)(298) / (3.0) = 122 atm

2.50 Kilojoule (2.5 Kj) is the same amount of energy in calories?
A) 598 cal.
B) 2720 cal.
C) 0.598 cal.
D) 105 cal.

Answers

2.50 Kilojoule (2.5 Kj) is the same amount of energy in calories as (A) 598 cal.

To convert kilojoules (Kj) to calories, you can use the conversion factor of 1 kilocalorie (kcal) = 4.184 kilojoules (Kj).

Here, 2.50 Kilojoules (2.5 Kj) is the amount of energy, we can convert it to calories as follows:

2.50 Kj * (1 kcal / 4.184 Kj) = 0.598 kcal

Since 1 kilocalorie (kcal) is equal to 1000 calories (cal), we can further convert:

0.598 kcal * 1000 cal/kcal = 598 cal

Therefore, the same amount of energy as 2.50 Kilojoules (2.5 Kj) is 598 calories.

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Other Questions
MULTIPLICACIN Y DIVISIN DE NMEROS ENTEROS11. -2115 -9 =12. 7854 -3413. 3425 -4 =14. -7 5 -3 =15. 12 -7 9 = Suppose an explorer discovered a unique new species of plant and collected a sample for analysis by a geneticist. The geneticist then isolated chromatin from the plant sample and examined the chromatin using electron microscopy. The chromatin observed was organized in a way that is similar to beads on a string A small amount of nuclease was then added, which was observed to cleave the string into individual beads that each contained 280 bp of DNA. Histone H1 H2A H2B H3 H4 H7 (new histone) Percentage 12.5% 25% 25% 0% 26% After thorough digestion with more nuclease, only a 120 bp fragment of DNA remained attached to a core of histone eins. Analysis of the histone core revealed the data dicated in the table to the right. Using the data provided, determine the conclusions that the geneticist could make about the likely structure of the nucleosome in the chromatin of this new plant speciesA. The nucleosome core contains a heterodimer of the histones H7 and H1 B. The nucleosome core contains two each of histones H2A, H2B, and H4 C. The nucleosome core contains a homodimer of the histones H2A, H2B, and H4 D. The nucleosome core contains one each of histones H1 and H7 E. The nucleosome core histone H7 replaces the standard histone H3 solve the point A and B A) The region bounded above by the parabolay = 3x-x2 and y = 0 is rotated around a vertical line x=-1 forming a solid, find its volume Note: When performing the step-by-step procedures used and the method used to find the volumen ex B) = Given the following function which is one to one f(x) = ex/1-eX Find its inverse; You must keep in mind the processes of factoring, properties of exponents, logarithmic properties, and so on. Check if it is indeed its inverse, for this you can do it algebraically or graphicallyPrevious questionNext que HELP PLEASE!!!The bear population in Canada was 380,000 in the year 2015, and environmentalists think that the population is increasing at a rate of 2.5% per year. Consider the function that represents the exponential growth of the bear population in Canada. Part A: Defines a variable for the function and state what the variable represents.Part B: What is a reasonable domain for the situation?Part C: Write the function that represents the exponential growth of the bear population.Part D: What will the bear population estimated to be in 2050? Write and solve an equation to determine the height of a rectangular prismwith a width of 6 millimeters, a length of 20.5 millimeters, and a volumeof 984 cubic millimeters.PLEASE HELP Examine the features of the two coyotes pictured below. Which coyote (A or B) is most likely a part of the historic population in North Dakota? Which coyote is most likely part of the Modern population in Maryland? Justify your choice. Which is typically measured in an effort to assess subjective well-being? I need help with this answer . Please help . (This is timed!!) ______and____ are early tetrapods that do not have features unique to fish. Describe how these two species differ antaomically and what that means about where they each live. What was the Treaty of Versailles? Who was invited to the peace talks tocreate it, and who wasn't? What effect did the Treaty have on the losingnations? In your opinion, was the Treaty of Versailles fair? Why or whynot? What type of shape did the digital artist use to create this image?a. Abstractb. Organicc. Geometricd. Regular Question 2Bank Balance Sheet Assets Reserves and cash items Securities Less than 1 year 1-2 years Greater than 2 years Residential mortgages Variable-rate Fixed-rate (30 years) Commerical loans Less than 1 year The Massachusetts state lottery game, Cash WinFall, used to have a way that anyone with enough money and time could stand a good chance of getting rich, and it is reported that an MIT computer scientist did just that. In this game, a player picks 6 numbers from the range from 1 to 46. If he matches all 6, then he could win as much as $2 million, but the odds of that payout don't justify a bet, so let us ignore the possibility of winning this jackpot. Nevertheless, there were times when matching just 5 of the 6 numbers in a $2 lottery ticket would pay $100,000. Suppose in this scenario that you were able to bet $600,000.(a) What is the expected amount that you would win?(b) Derive a bound on the probability that you would lose $300,000 or more in this scenario, that is, that you would have 3 or fewer of the 5 of the 6 winning tickets. What is human culture? Why is it so complex and contradictory? Explain what mass communications media is and how it supports our consumer culture to socially construct reified individuals as a process that begins in childhood. Your answer needs to be layered analysis that discusses the power processes that produce a consumer society. A group of U.S. military veterans are planning to gather at a memorial to read the names of fallen comrades and give speeches calling for an end to war. This assembly is protected by the 1st Amendment, assuming that it A. does not encourage other people to participate. B. does not raise criticisms of government policies. C. does not enlist the support of other groups. D. does not interfere with the rights of other citizens. Can you please tell me the connection to human rights for this passage. Thank you In "To a Mouse" the line "Wee. sleekit, cow'rin, tim'rous beastie"describesO A The poetO B. The mouseO C Mortal manO D A rake Chavez S.A., a Venezuelan company, wishes to borrow $8,000,000 for eight weeks (maturity). A rate of 6.250% per year is quoted by potential lenders in Great Britain, and Switzerland. British, and the Swiss-Euro bond definitions of interest (day count conventions) are 56 days and 60 days, respectively. Numbers of days in a financial year are 360. From which source should Chavez borrow? Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you. Estimate 103 + 94 by first rounding each number to the nearest ten