when 0.485 g of compound x is burned completely in a bomb calorimeter containing 3000 g of water, a temperature rise of 0.285°c is observed. what is δu of the reaction for the combustion of compound x? the hardware component of the calorimeter has a heat capacity of 3.81 kj/°c. the specific heat of water is 4.184 j/g·°c. the molar mass of compound x is 56.0 g/mol.

Answers

Answer 1

The change in internal energy for a molecule at 56 g/mol is discovered to be -539 kJ/mol.

The internal energy change of a reaction is represented by the symbol U. U = Heat of calorimeter + Heat of solution for a reaction in the bomb calorimeter.

Heat capacity = Heat Temperature

For example, 0.48 g compound U = 3.81 0.285 + 4.184 3000 0.28 g compound U = 4.67 kJ

For a molecule at 56 g/mol

U equals energy/mass/moles/one, where U = 4.67/0.48556 and U = 539 kJ/mol.

Since the reaction causes a temperature increase, the internal energy, or -539kJ/mol, is given a negative sign.

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Related Questions

a steel tank contains 40.0 g of n2, 50.0 g of o2, and 10.0 g of he gases at a total pressure of 8.0 atm. what is the partial pressure (in atm) of he in the tank?

Answers

The partial pressure of He in the tank when total pressure is given is calculated as : 3.649 atm.

What is partial pressure?

When a container is filled with more than one gas, then each gas exerts pressure. So , the pressure of any one gas within the container is called its partial pressure.

Given 40 g of N2 ; 50 gm of O2 and 10 g of He

Total pressure given 8 atm

Moles of O2 = 50/32

=1.56 moles

Moles of N2 = 40/28

= 1.42 moles

Moles of He = 10/4

= 2.5 moles

Total number of moles= 1.56 + 1.42 + 2.5

= 5.48 moles

= (2.5/5.48) * 8

Partial pressure of He =3.649 atm.

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PLS ANSWER ASAP

How are natural resources managed for maximum usability and sustainability?

Answers

They are contained in environments that best sustain them

carbon monoxide gas is collected at in an evacuated flask with a measured volume of . when all the gas has been collected, the pressure in the flask is measured to be . calculate the mass and number of moles of carbon monoxide gas that were collected. round your answer to significant digits.

Answers

Number of moles of carbon monoxide gas that were collected is 0.585 mol and the mass of carbon monoxide gas is 25.7 g

In an evacuated flask with a measured volume of 30.0L, carbon dioxide gas is collected at a temperature of 27.0 °C. The pressure within the flask is 0.480atm once all the gas has been collected.

Determine the volume and moles of the carbon dioxide gas that was gathered. Make sure you have the right number of significant digits in your response.

T = 27.0°C ˖ 273.15 = 300.2 K

V = 30.0 L

P = 0.480 atm

n = ?

m = ?

Determine the number of moles of CO₂

The ideal gas equation can be used to determine the moles of CO₂.

P×V = n×R×T

n= (P×V)/(R×T) = (0.480×30.0)/(0.08206×300.2) = 0.585 mol

Calculate the CO₂ mass.

The molar mass is calculated to be 44.01 g/mol.

0.585 × 44.01 = 25.7 g

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Hat solution can you add to of the mixture of sr2 (aq)sr2 (aq) and hg22 (aq)hg22 (aq) to precipitate one cation while keeping the other cation in solution?

Answers

SrCl₂ is soluble salt  to precipitate one cation while keeping the other cation in solution.

What is cation & anion?

Cations are ions that are polarized. Anions are the name for negatively charged ions. Ions are charged atoms or molecules. If one or more of an atom's electrons are removed, it will transform from a balanced atom together into positive charges cation. If an unbalanced atom gains one or more electrons, it will transform into a negatively charged anion.

Briefing:

Due to mercurous, we can dilute any solution containing chloride ions to use as a NaCl solution.

Hg₂²⁺ is made up of group I cations that precipitated as chloride Sr²⁺ is from group V .

Net ionic equation:

Hg₂²⁺ + 2 Cl⁻  → Hg₂Cl₂

while SrCl₂ is soluble salt.

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at constant temperature and pressure, 5.0 l of so2 is combined with 3.0 l of o2 according to the equation: 2 so2(g) o2(g) --> 2 so3(g) after the so3 formation is complete, what is the volume of the mixture?.

Answers

The volume of the mixture is 5 L

What is limiting reagent ?

The limiting reagent is the one that is completely consumed during a reaction. Reagents that are entirely consumed by a chemical reaction are known as limiting reagents. They are additionally known as limiting reactants or limiting agents.

Reactants in a chemical reaction are referred to as surplus reagents if they are still present at the end of the reaction. Because its quantity restricts the number of products that can be generated, the reagent that is totally consumed or reacted is known as the limiting reagent.

We should first use the mole ratio, and SO 2 as the limiting reagent .

That would yield 5.0 L or 2 moles of SO3, but that is not one of your options. Since the temperature and pressure are both constant, the volume is equal to the number of moles since n/v = p/rt.

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how much excess reactant is left over when 17.0g of potassium hydroxide (KOH) reacts with 20.0g of iron(II) nitrate

Answers

Iron(II) nitrate is an excess reactant left over is equal to 0.1265 mol.

What is the limiting reagent?

A limiting reagent can be defined as a reactant that is completely finished from the reaction mixture at the completion of a  reaction and is also referred to as a limiting reactant.

Given, a balanced chemical equation of the reaction between iron(II) nitrate and potassium hydroxide is:

[tex]Fe(NO_3)_2 +2KOH\longrightarrow Fe(OH)_2 +2KNO_3[/tex]

Given, the amount of the iron(II) nitrate = 20.0 g

The molecular mass of the iron nitrate = 71.84 g/mol

The number of moles of iron(II) nitrate  = 20.0/71.84 = 0.278 mol

Given the mass of the potassium hydroxide, = 17.0 g

The number of moles of potassium hydroxide = 17/56.11 = 0.303 mol

If 2 mole of KOH react with  iron(II) nitrate = 1

0.303 mol of KOH react with iron(II) nitrate  = 0.303/2 = 0.1515 mol

Therefore,  iron(II) nitrate is an excess reagent.

The iron(II) nitrate is left after reaction = 0.278 - 0.1515 = 0.1265 mol

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Consider these two electron configurations for neutral atoms l and m. L - 1s22s22p63s2 m - 1s22s22p63s13p1 what is the atomic number of l 10 12 1 6.

Answers

The atomic number will be 12 and the element is magnesium.

What is electronic configuration?

Also called electronic structure ,it is the arrangement of electrons in orbits around the nucleus. The electron configuration of atoms in quantum mechanical models is given by ordering the occupied orbitals in order of packing, with the number of electrons in each orbital indicated as a superscript.

What is atomic number?

The atomic number, or atomic number of a chemical element, is the number of electric charges in the nucleus. For normal atomic nuclei, this equals the number of protons, or the number of protons found in the nucleus of each atom of that element.

Therefore, the atomic number will be 12 and the element is magnesium.

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After the equation below has been balanced for a reaction in an acidic solution, what will the coefficients of the reactants and products be, in order?

H2O2 + FeSO4 + H2SO4 →Fe2(SO4)3 + H2O
a. 1,2,1,1,2
b. 2,2,2,2,2
c. 2,1,2,2,1
d. 1,2,1,1,1

Answers

Answer:

c

Explanation:

english please im just guessing

what mass of sodium phosphate is required to prepare 250.0 ml of a solution that is 0.30 m in sodium ion?

Answers

4.1g of sodium phosphate is required to prepare 250.0 ml of a solution that is 0.30 m in sodium ion.

The important thing to note here is that each mole of trisodium phosphate ([tex]Na_{3}PO_{4}[/tex]) gives us 3 moles of Na ions. So a solution that is 0.30 M in sodium ion is only 0.10 M in [tex]Na_{3}PO_{4}[/tex].

Now, molarity is moles/L, so we can figure out the total number of moles we need:

0.10 mol/L × 0.250 L = 0.025 moles [tex]Na_{3}PO_{4}[/tex].

Finally, the MW of [tex]Na_{3}PO_{4}[/tex] = 164 g/mol.

So: 0.025 moles × 164 g/mol = 4.1 g

So you would need 4.1 g of trisodium phosphate to make 250 mL of this solution.

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Calculate the kinetic energy of the cart at the point shown below. It has a mass of 225 kg, is 10 m high, and is moving at a velocity of 2 m/s.

Answers

Average kinetic energy is the average sum of all kinetic energy of all the molecules of gases. Therefore, the kinetic energy of the cart is 450J. Average kinetic energy is directly proportional to temperature.

What is kinetic energy?

It is a energy which is possess  by a moving object. It is very difficult to find the correct value of kinetic energy so we find average kinetic energy. Which is very easy to calculate as compared to calculating kinetic energy.  It is not dependent on the type of gases or mass of gases.

Mathematically,

K.E=1/2mv²

Where,

m= mass of object= 225 kg

v= velocity of object= 2 m/s

substituting all the given values in the above equation, we get

K.E=1/2×225 ×2²

K.E=450J

Therefore, the kinetic energy of the cart is 450J.

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write and balance the chemical equation for the reaction associated with the heat of formation for agno3

Answers

The balanced chemical equation for the reaction associated with the heat of formation for [tex]AgNO_{3}[/tex]

Decomposition is a type of chemical reaction when a single reactant breaks down into two or more different products. The term "thermal decomposition process" refers to the decomposition method used when heat is present.

The enthalpy change that takes place when 1 mole of a substance is created from its component elements in their standard states is known as the standard enthalpy of formation. A pure element has a standard enthalpy of production of 0 in its normal state.

Enthalpy of formation = Enthalpy change 1 mole of product formed from its original constituents.

[tex]Ag(s) + \frac{1}{2} N_{2}(g) + \frac{3}{2}O_{2} \rightarrow AgNO_{3}[/tex]

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Help me please I beg me

Answers

Search up “ionic transitions Compounds”and it’s the first link it’ll show you all the names jus look for them good luck

The cell potential of an electrochemical cell with the cell reaction 2al(s) + 3zn2+(aq) → 3zn(s) + 2al3+(aq) is 1. 607 v. What is the maximum electrical work obtainable from this cell when 0. 50 g of al is consumed?

Answers

The cell potential of an electrochemical cell with the cell reaction  is 1. 607 v.  the maximum electrical work obtainable from this cell when 0. 50 g of al is consumed is - 9.3 × 10⁵ J.

The reaction is given as :

2Al  +  3Zn²⁺  ---->   3Zn   +   2Al³⁺

the maximum electrical work obtainable from this cell:

ΔG = - n FE°cell

where,

maximum electrical work = ΔG

n = no. of transfer electron = 2 × 3 = 6 e⁻

E°cell = 1.607 V

ΔG = - n FE°cell

ΔG = - 6 × 9.65 × 10⁴ ×  1.607

ΔG = - 9.3 × 10⁵ J

Thus the maximum electrical work obtain from this cell is - 9.3 × 10⁵ J.

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Match the general type of chemical reaction to the example that best fits it.

A. Na + cl2 -> NaCl
B. H2O -> H2 + O2
C. C6H12O6 + O2 -> H2O + CO2 + energy
D. Al(OH)3 + Li -> LiOH + Al
E. HCl + NaOH -> NaCl + H2O

__Combustion reaction
__ Single replacement
__Double replacement
__Synthesis
__Decompostion

Answers

The classifications of the reactions are;

A . Synthesis

B. Decomposition

C. Combustion reaction

D. Single replacement

E. Double replacement

What is the type of reaction?

We know that in chemistry, what we call a reaction has to do with the interaction that is taking lace between two or more substances and leads to the production of a new substances. We have to look at the reacts that are here and then know how to classify each one.

In fact the combustion reaction has to do with the burning of a species in air. A single replacement has to do with the substitution of a given specie in a compound with another. A double replacement reaction has to do with a case where the anions interchange cation partners. The synthesis reaction deals with the production of new compounds while the decomposition reaction has to do with the compound into its components.

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calculate the rf value for a spot in a chromatography experiment if the solvent moved 14.2 cm and the spot moved 9.9 cm from the origin.

Answers

Rf will be 0.697

Retention factor can be defined as;

The ratio of  distance travelled by substance to the distance travelled by solvent. Substances start at the origin. The starting point of the compound is called the origin. This is where we measure the distance moved by the substance.

According to the question;

The given data is:

spot distance  =   9.9 cm

solvent distance =  14.2 cm

We will have to find the retention factor value:

Rf = ?

The formula to find Rf is as follows;

Rf = spot distance / solvent distance

Rf = 9.9 cm / 14.2 cm

The answer after the solution is :

Rf = 0.697

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What is this called??

Answers

It’s called a Mortar and pestle set

calculate the ph of a buffer in which the concentration of hocl is 6.50 x 10-4 m and that of naocl is 7.50 x 10-4 m. the ka of hocl is 3.0 x 10-8. show work. pay attention to significant figures.

Answers

The pH of a buffer in which  the concentration of HOCl is 6.50 x 10⁻⁴ M and that of  NaOClis 7.50 x 10⁻⁴ M( the ka of HOCl is 3.0 x 10⁻⁸) is 7.51.

We can find out the pH of the buffer solution by Henderson-Hasselbalch equation, derived by Lawrence Joseph Henderson and Karl Albert Hasselbalch. It is given as:

pH = pKa + log [A⁻] / [HA]

Here,

pH is the acidity of the solution

pKa is the negative logarithm of Ka (ionization constant of acid)

[A⁻]  is the concentration of salt/ conjugate base

and [HA] is the concentration of acid.

given,

concentration of NaOCl, [A⁻] = 7.50× 10⁻⁴ M

concentration of HOCl [HA] = 6.50 × 10⁻⁴ M

Ka of HOCl = 3.0 × 10⁻⁸

∵ pKa = -log(Ka)

pKa = -log(3.0 × 10⁻⁸)

pKa= 7.45

Putting these values in Henderson-Hasselbalch equation:

pH = 7.45 + log 7.50× 10⁻⁴ M/6.50 × 10⁻⁴ M

pH = 7.45 + log 7.50/6.50

pH = 7.45 + log 1.15

pH = 7.45 + 0.06

pH = 7.51

Thus,  the pH of the buffer is 7.51.

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What can a person do to limit exposure to x-rays?wear sunblockavoid cigarette smokewear a protective vestavoid chemicals.

Answers

X-rays are a form of indirectly ionizing radiation, and it can be really harmful to the humans health, so limiting the exposure is always a priority. Here, wearing a protective vest is the correct answer.

X-rays are a type of radiation that ionizes indirectly. Remember that ionization is what harms our cells, thus it is best to minimize exposure to these radiation types.

Now when X-rays are strong enough, they can penetrate through many ordinary materials (like wood, plastic, etc.) Also, once it enters in your body, a series of responses begin that cannot be stopped by outside forces.

Therefore, you should try to minimize your exposure. If possible, avoid being close to an X-ray source, but if that's not possible, use radiation protection.

Depending on the application, it can come in many shapes. For example, you can use LED screens to block out the fluence (flux of photons) that is focused at you. By placing these screens between you and the source, you can significantly reduce this fluence.

The same is true with protective vests that shield you from photons by absorbing them. These vests can include parts made of lead or other high atomic number materials.

So, a person can wearing a protective vest to limit exposure to X-rays.

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1. What is the charge of an atom with 20 protons and 18 electrons

Answers

The charge of an atom can be determined by adding the two numbers together. This means the charge of an atom that has +20 protons and -18 electrons would be +2. The protons and electrons aren’t the same which is why they didn’t cancel each other out.
So the answer to your question is +2
The answer would be positive 2

for each value of the principal quantum number n, what are the possible values of the electron spin quantum number ms ? (there may be more than one correct choice.)

Answers

There can be no zero for the main quantum number (n). Therefore, the permitted values for n are 1, 2, 3, 4, and so forth. Any integer between 0 and n – 1 can serve as the angular quantum number (l).

How is the n quantum number determined?

The value of n is between 1 and the outermost electron shell of that atom. Looking at the period (numbered row) of the element on the periodic table will reveal the primary quantum number. The period number and the primary quantum numbers of electrons in the S-block and P-block are identical.

There are three values if n=3 is the primary quantum number. The electron is in a p-orbital state when l=1, and the electron.

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What is the name of the ion represented by the following
symbol? 02-
a oxygen ion
b dioxide
Coxide
d none of the above

Answers

the answer should be a

If you dissolve 10. 0 g of compound x in 100. 0 ml of distilled water, the liquid turns red. The temperature of the liquid stays at 24 °c for 10 minutes. Why would you not want to sell a cold pack made with compound x?.

Answers

so the company hire company B because it pays not more than 85 cents.

Why would you not want to sell a cold pack made with compound x?

1. Technically it depends upon the temperature of your hand: if we assume the body temperature is 37 C then your hand is warmer than the beaker and the beaker will feel cold.

2. This is an endothermic reaction.

3.  If the beaker changes from 25 C to 5 C the energy is lower.

1.5g x (20/5) = 6.0 grams.

Cost of 6.0 g is

$184.04 x (6.0/1000) = about $1.10 each.

its cost = 110 cents

Compound B the same way.

1.0g x (20/2.5) = 8.0 grams.

Cost of 8.0 g is

$97.13 x (8.0/1000) = about $0.777 each.

its cost 77.7 cents.

so the company hire company B because it pays not more than 85 cents.

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(a) what is the total random kinetic energy of all the molecules in one mole of hydrogen at a temperature of 300 k? (b) with what speed would a mole of hydrogen have to move so that the kinetic energy of the mass as a whole would be equal to the total random kinetic energy of its molecules?

Answers

Total random kinetic energy of all the molecules in one mole of hydrogen at temperature of 300 K is 3741.3 J. Speed with which a mole of hydrogen have to move so that kinetic energy of the mass is equal to the total random kinetic energy of its molecules is 7482.6 m/s

What is  kinetic energy of gas molecule?

According to kinetic theory, average kinetic energy of gas molecules depends on the absolute temperature. At given temperature, molecules of all the gases have same average kinetic energy".

Kinetic energy = 3/2 * R T

= 3/2 * 8.314 * 300

= 3741.3 J

KE = 1/2 * m v²

v² =  2 KE/m

= 2* 3741.3 /1

Speed =  7482.6 m/s

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explain the pauli exclusion principle and what it means for the nine electrons in an atom of fluorine. you do not need to write out all 9 sets of quantum numbers for fluorine.

Answers

Along with the Aufbau principle and Hund's rule, the Pauli Exclusion principle is one of the key concepts governing the arrangement of electrons in an atom.

According to the Pauli exclusion principle, no two electrons may simultaneously hold the same set of quantum numbers or quantum states. A distinct quantum number and set of quantum states should exist for every electron.We learned from the definition of the Pauli exclusion principle that no two electrons with the same spin can be placed together at once, and no two electrons with the opposite spin can be ordered in a single quantum state. The Pauli exclusion principle is just as significant in chemistry as it is in physics.

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which type of test should be used to determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2?

Answers

A cholesterol test is a blood test that quantifies your blood's levels of cholesterol and certain fats. Every cell in your body, including the ones that make up your blood, contains cholesterol, a waxy, fatty-like substance.

What are the most common chemistry tests?

Elevated blood ammonia (BUN) and creatinine are measured during kidney function testing, often known as renal panels. Aspartate analyzer (ALT), alkaline phosphatase (ALP), transaminase (AST), bilirubin, albumin, and total protein are all measured in liver function tests.

Why are lab tests necessary?

In patients suffering from viral infections or immunological disorders, scientific tests are particularly helpful in establishing a diagnoses, predicting clinical symptoms, and tracking disease progression. In the management of diseases, timely diagnostic evaluation and the use of accurate tests are crucial.

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use the fiagram below to answer the following questions: a list the phase changes a sample of ice would go through if heated to its critical temperature and 1 atm pressure

Answers

The ice would first melt into a liquid, then turn into a gas.

A 2000 ml sample of water was collected and found to have 0.004 mL of oxygen. This is equivalent to?

Answers

The sample of water containing 0.004 ml of oxygen in 2000 ml of water is equivalent to 2× 10⁻⁴ volume percentage of the solution.

What is volume percentage?

Volume percentage of an aqueous solution is the ratio of the  volume of the dissolved substance to the total volume of the solution. Volume percentage is thus, used to express the concentration of the solution in terms of its volume.

The other terms used to express the concentration of a solution are molarity, normality, mass percentage, ppm etc.

Given the total  volume of the water sample = 2000 ml

volume of oxygen dissolved in water = 0.004 ml

volume percentage = volume of oxygen / total volume ×100

                                 = 0.004 /2000 ×100 = 2× 10⁻⁴

Therefore, 2000 ml water sample containing 0.004 ml of sample is equivalent to 2× 10⁻⁴ volume percentage.

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WHAT IS THE CHEMICAL FORMULA FOR inorganic benzene​

Answers

Answer: B3N3H6

Explanation:

I am pretty sure the formula for benzene is B3N3H6. If I am wrong, I am sorry, I learned this a long time ago.

Which of these describes a way in which humans could increase biodiversity in a marine ecosystem?

A. Fish populations increase as dissolved oxygen decreases.
B. Data that shows how trees get affected by disease as levels of acid rain increases.
C. Data showing how forests grow when acidic precipitation decreases.

Answers

The statement that describes a way in which humans could increase biodiversity in a marine ecosystem is as follows: Fish populations increase as dissolved oxygen decreases (option A).

What is biodiversity?

Biodiversity is the diversity (number and variety of species) of plant and animal life within a region.

It can be used more specifically to refer to all of the species in one region or ecosystem. Biodiversity refers to every living thing, including plants, bacteria, animals, and humans.

Marine ecosystem are aquatic environments with high levels of dissolved salt. These include the open ocean, the deep-sea ocean, and coastal marine ecosystems, each of which has different physical and biological characteristics.

The biodiversity of a marine ecosystem can be illustrated by the increase in fish populations in the marine environment, hence, option A is correct.

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which type of building material can produce toxic gases and rapidly deteriorate under fire conditions?

Answers

Engineered wood products type of building material can be highly combustible and produce toxic gases when exposed to fire.

Its construction materials exhibit a variety of flaws and stone degradation patterns, including color fading, spalling, and flaking.

Materials comprised of wood fibers connected by glue or binders may be extremely flammable, release hazardous fumes, or degrade quickly when exposed to fire. Building firewalls involves using walls.

In North America, wood is the most widely used building material and the foundation of many different structural systems. Wood's response to fire conditions is influenced by its size and moisture content.

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Mrs. Drake is a 75 y/o widow who lives with her daughter. Although she has enjoyed good health, her medical history includes moderate hearing loss and mild depression. She is an active participant in her religious community, her bridge (card game) and book club. How does the author imply that other theories besides the plesiosaur are most likely not true? Use evidence from the text to support your answer. in the simplex method, the pivot column is the column with the most negative number (to the left of the vertical bar) in the bottom row. why? Sales, purchasing, and shipping documents are all considered examples of to an accounting system.a. Trueb. False Genetic variation among humans is relatively small when compared to other species. Where in the human genome does most of the diversity occur?. several clients arrive simultaneously at the emergency department after sustaining burn injuries in a house fire. which client will require the closest observation for signs of respiratory distress? 4/6 x 3/5 in the simplest form. Wright in each box which word go's into the box for science 2x - 7 + 3x + 10 > x - 6 + 8x - 11 PLEASE SOLVE "STEP BY STEP" AND SHOW ME THE WORK! thank you! loverdale Middle School is buying new helmets for the football team. Each helmet costs $89.95. How much money does the school spend if they buy 45 of these football helmets? Q 1: Write a function to measure the amortized cost of appending for Pythons list class.Q 2: Write functions for two primary operations in the Queue enqueue ( ) and dequeue ( ). In ______ teams, there is an expectation of increased productivity and quality of work life because employees are delegated greater authority and granted increased autonomy Multiple Choice Self-managed virtual problem solving c collaborate Maya's school held an aluminum collection program in which they collected aluminum and brought it to be recycled. In the first week, Maya collected 4/20 ib of aluminum and her friend Abigail collected 7/8 ib1. Which girl Collected more aluminum?2. How much aluminum did the two girls collect? refer to the total utility curve in the accompanying graph to answer the questions. a graph with utis on the vertical axis and quantity of the good consumed on the horizontal axis. both axes run from 0 to 9. the graph contains one curve labelled as a total utility. between the quantities of 0 and 4, the total utility curve is rising at an increasing rate. between the quantities of 4 and 6, the total utility curve rises at a decreasing rate. after a quantity of 6, the total utility curve begins to fall. utility is maximized when how many units of the good are consumed? in order to conduct an experiment, four subjects are randomly chosen from a group of 20 people . how many differenty groups of four subjects are pssoibke Solve x2 = 36 for x. Is it good to conne ct to nature or not 3 reason One thousand tickets are sold at $5 each. One ticket will be randomly selected and the winner will receive a color television valued at $375. What is the expected value for a person that buys one ticket?Multiple choice:-$4.62-$1.00$1.00$4.62 Which of the following equation correct represents the exponential population growth curve? A) dN/dt=rN; B) dN/dt= rN(K-N/K); C) Nt=N0et; D) both A and C PLEASE HELP ASAPA theme of The Village Blacksmith is people can take charge of their fate.Which lines from the poem best develop this theme?Responses:Toiling,rejoicing,sorrowing, / Onward through life he goesThus on its sounding anvil shaped / Each burning deed and thought.Thus at the flaming forge of life / Our fortunes must be wroughtThanks, thanks to thee, my worthy friend, / For the lesson thou hast taught! The Village Blacksmithby Henry Wadsworth LongfellowUnder a spreading chestnut-tree The village smithy stands;The smith, a mighty man is he, With large and sinewy hands;And the muscles of his brawny arms Are strong as iron bands.His hair is crisp, and black, and long, His face is like the tan;His brow is wet with honest sweat, He earns whateer he can,And looks the whole world in the face, For he owes not any man.Week in, week out, from morn till night, You can hear his bellows blow;You can hear him swing his heavy sledge, With measured beat and slow,Like a sexton ringing the village bell, When the evening sun is low.And children coming home from school Look in at the open door;They love to see the flaming forge, And hear the bellows roar,And catch the burning sparks that fly Like chaff from a threshing-floor.He goes on Sunday to the church, And sits among his boys;He hears the parson pray and preach, He hears his daughters voice,Singing in the village choir, And it makes his heart rejoice.It sounds to him like her mothers voice, Singing in Paradise!He needs must think of her once more, How in the grave she lies;And with his hard, rough hand he wipes A tear out of his eyes.Toiling,rejoicing,sorrowing, Onward through life he goes;Each morning sees some task begin, Each evening sees it close;Something attempted, something done, Has earned a nights repose.Thanks, thanks to thee, my worthy friend, For the lesson thou hast taught!Thus at the flaming forge of life Our fortunes must be wrought;Thus on its sounding anvil shaped Each burning deed and thought.