11C. Potassium hydrogen phthalate is a solid, monoprotic acid frequently used in the laboratory to standardize strong base solutions. It has the unwieldy formula of KHC8H4O4. This is often written in shorthand notation as KHP .If 3.41 grams of KHC are needed to exactly neutralize 31.2 mL of a potassium hydroxide solution, what is the concentration of the base solution?

13B.
H3AsO4 + H2C2O4—--------2CO2 + H3AsO3+ H2O

In the above redox reaction, use oxidation numbers to identify the element oxidized, the element reduced, the oxidizing agent and the reducing agent.



name of the element oxidized:


name of the element reduced:


formula of the oxidizing agent:


formula of the reducing agent:

Answers

Answer 1

For the reactants,

The oxidation number of hydrogen = +1The oxidation number of oxygen = -2The oxidation number of arsenic = +5The oxidation number of carbon = +3

For the products,

The oxidation number of hydrogen = +1The oxidation number of oxygen = -2The oxidation number of arsenic = +3The oxidation number of carbon = +4

Here, arsenic (+5 to +3) and carbon (+3 to +4) are the only oxidation numbers changing.

Note that an increase in oxidation number means electrons are lost. Thus oxidation is occurring, and a decrease in oxidation number means electrons are being gained, and thus reduction is occurring.

Also, the compound that contains the element being oxidized is the reducing agent, and the compound that contains the element being reduced is the oxidizing agent.

So, the answers are:

name of the element oxidized: Carbon

name of the element reduced: Arsenic

formula of the oxidizing agent: [tex]\text{H}_{3}\text{AsO}_{4}[/tex]

formula of the reducing agent: [tex]\text{H}_{2}\text{C}_{2}\text{O}_{4}[/tex]


Related Questions

What is the isomer of a compound with an empirical formula of C₂H₆O₂?

Answers

Answer:

An isomer is a molecule with the same molecular formula as another molecule, but with a different structure. Isomers contain the same number of atoms of each element, but have different arrangements of their atoms. Isomers do not necessarily share similar properties, unless they also have the same functional groups.

In the following half equation, which is the oxidizing agent? How & why?

NO3- (aq) + 4H+ (aq) + 3e- —> NO (g) + 2H2O

A) NO3-
B) H+
C) e-
D) NO
E) H2O

Answers

Answer: A

Explanation:

Oxidation is the process through which electrons are gained. This indicates that only organisms on the electron side have the potential to be oxidizing agents. c, d, and e are, by definition, eliminated.

We also know that H+ is in the +1 oxidation state. The same is true for 'H' in H2O... it doesn't change oxidation states

Therefore, the answer must be a) nitrate

A tank holds 22.1 L of oxygen ( O2 ) at a pressure of 18.0 atm . What is the final volume, in liters, of this gas when it is released at a pressure of 2.90 atm with no change in temperature and amount of gas.

Answers

The final volume of gas will be 137.17L .

According to ideal gas equation , PV=nRT , where P is pressure of gas , V is volume of gas , n is moles of gas , R is universal gas constant and T is the temprature of gas.

Now , according to the que at initial and final stage the temprature and amount of gas stays constant , so we would simply equate the initial PV to the final PV.

[tex]P_{i} V_{i} = P_{f} V_{f} \\[/tex]

where [tex]P_{i}[/tex] ans [tex]V_{i}[/tex] are the initial pressure and volume of the gas and  [tex]P_{f}[/tex]  and [tex]V_{f}[/tex] are the final pressure and volume of the gas .

Here we have to find final volume of gas .

So , putting all values in above eq we get

18 x 22.1 = 2.9 x  [tex]V_{f}[/tex]

⇒ [tex]V_{f}[/tex] = 137.17 L

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How many atoms are in 2.17 moles of strontium?

Answers

Answer: I think 82.46

Explanation: The atomic number for strontium, or Sr on the periodic table, is 38. With knowing the atomic number, I multiplied that by the number of moles given.

38 × 2.17 = 82.46

I hope this helps!!

The number of atoms present in 2.17 moles of strontium are  [tex]1.306774 \times 10^{24}[/tex].

An atom is the smallest indivisible unit of a chemical element that retains the chemical properties of that element. It is the basic building block of matter.

To determine the number of atoms in a given number of moles, we can use Avogadro's number, which is approximately [tex]6.022 \times 10 ^{24}[/tex] atoms per mole.

In this case, we have 2.17 moles of strontium. To find the number of atoms, we multiply the number of moles by Avogadro's number:

Number of atoms = [tex]2.17 moles\times6.022\times 10^{23}[/tex][tex]atoms/mole[/tex]

On calculating this expression:

Number of atoms =[tex]1.306774 \times 10^{24}[/tex]

Therefore, there are approximately [tex]1.306774 \times 10^{24}[/tex] atoms in 2.17 moles of strontium.

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Question 4 of 15
A compound with the empirical formula CH₂ has a molar mass of 42 g/mol. What is the molecular formula for this compound?
molecular formula:
3CH₂
Attempt 1
Incorrect

Answers

(CH₂)n=42

(14)n=42

n=3

C₃H₆


Explain the term 'end point'?
What do you mean by a 1.0 M solution?

Answers

Answer:

According to me end point is the end of a reaction

What are you meaning

Write and balance the equation for the combustion of the fatty acid lauric acid, (C12H24O2)
.
Express your answer as a chemical equation. Identify all of the phases in your answer.

Answers

The combustion of lauric acid is shown as CH3(CH2)10COOH(s) + 18O2(g) -----> 12H20(l) + 12CO2(g)

What is combustion?

In a combustion reaction, a substance is burnt in oxygen. If the substance is an organic compound a the case is here, the products are carbon dioxide and hydrogen.

No the equation of the combustion of lauric acid is shown as;

CH3(CH2)10COOH(s) + 18O2(g) -----> 12H20(l) + 12CO2(g)

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What is the number of elements in 2Ca(OH)2

Answers

Answer:
3 elements
Calcium,oxygen and hydrogen

Pleaseee help pleaseee!!!

Answers

NaClO₃ ⇒ NaCl + O₂ ⇒ unbalanced

1. O : left 3, right 2

give coefficient left 2, right 3

2NaClO₃ ⇒ NaCl + 3O₂

2. Na and Cl : left 2, right 1

give coefficient right 2

2NaClO₃ ⇒ 2NaCl + 3O₂ ⇒ balanced

2022
DP Chemistry Practical Guide
Dission Questions
Why are the burette and the pipette rinsed with the solution with which these are filled?

Answers

Answer:

OOO

Explanation:

OOOOOO

what's the name of the compound?​

Answers

this compound is hyrdoxide..because O means oxygen and H means hydrogen and when it is mixed it forms a compound..

After scientists use a careful process to gather evidence and establish scientific facts, which step most likely occurs next in the scientific process? conducting experiments testing new conditions Ostudying new topics determining explanations After scientists use a careful process to gather evidence and establish scientific facts , which step most likely occurs next in the scientific process ? conducting experiments testing new conditions Ostudying new topics determining explanations​

Answers

Answer:

Conducting Experiments

What does the prefix cis-in the name of a stereoisomer indicate about the
functional groups?

Answers

Its B i did the quiz

Explain how they would make solutions of the sulfuric acid at five different concentrations​

Answers

The sulfuric acid can be constituted into different concentrations using distilled water as a diluent.

What is dilution of acid?

Dilution of acid is defined as the decrease in the concentration of an acid using water.

For sulfuric acid to be diluted, it is slowly added to distilled water using the following guidelines:

Add 150 ml of water to the beaker and add the desired amount of acid. This will give a diluted concentration of the given acid.

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If you have the following chemical equation and you begin balancing it as such,

C5H10 + O2 --> 5CO2 + 5H2O

How many oxygens do you have on the product side at this point in the balancing?

Answers

Answer:

15 oxygens

Explanation:

Given the partially balanced reaction: [tex]\text{C}_{\text{5}}\text{H}_{\text{10}}+\text{O}_{\text{2}} \rightarrow \text{5C} \text{O}_{2}}+\text{5H}_\text{2}\text{O}[/tex]

The subscripts (small number to the right of each element symbol) are the number of atoms of the element within each compound/molecule, and the coefficients (numbers in front of each compound) represent the number of that molecule involved in one full reaction (if the equation were balanced).

The product side of the reaction is on the right of the arrow.

To determine the total number of Oxygens on the product side, we need to identify how many Oxygens are in each molecule (the subscript on the Oxygen), and then multiply times the number of that molecule that would be involved (Coefficient of the compound containing Oxygen).  There are multiple compounds on the right side of the equation that contain Oxygen, so we'll need to add together the number of Oxygens each part contributes.

[tex]\text{C}_{\text{5}}\text{H}_{\text{10}}+\text{O}_{\text{2}} \rightarrow \bold{5}\text{C} \bold{O_{2}}+\bold{5}\text{H}_\text{2}\bold{O}[/tex]

[tex]\text{\# reactant-side Oxygens}=\bold{5}\text{C} \bold{O_{2}}+\bold{5}\text{H}_\text{2}\bold{O}\\=5 \text{ CO}_{\text{2}}\text{ molecules} *\frac{\text{2 Oxygens}}{\text{1 CO}_{\text{2}}\text{ molecule}}+5 \text{ H}_{\text{2}}\text{O molecules} *\frac{1\text{ Oxygen}}{\text{1 H}_{\text{2}}\text{O molecule}}\\=10\text{ Oxygens}+5\text{ Oxygens}\\=15\text{ Oxygens}[/tex]

examples of molecular compound

Answers

Answer:

Molecular compounds are inorganic compounds that take the form of discrete molecules. Examples include such familiar substances as water (H2O) and carbon dioxide (CO2). These compounds are very different from ionic compounds like sodium chloride (NaCl).

Which hybrid orbitals overlap to form the sigma bonds between the indicated atoms in xanthine?

Correct Answer is B

Answers

Answer:

C.) Csp² - Nsp³

Explanation:

Because the carbon has only 3 unique bonds, the conformation of the carbon should be Csp² (s + p + p). While the nitrogen also has only 3 bonds, making up 3 orbitals, it also has a lone pair of electrons. These electrons also take up one orbital. Therefore, the conformation of nitrogen is Nsp³ (s + p + p + p).

The hybrid orbitals overlap to form the sigma bonds between the indicated atoms in xanthine is Csp2 and Nsp3.

What is hybridization?

Hybridization is defined as the concept of the mixing of the atomic orbitals for the formation of new hybrid orbitals which are suitable for the pairing of electrons in forming chemical bonds in valence bond theory. And the orbital formed by the hybridization are termed as hybrid orbitals.

Since the carbon atom form one single bond with hydrogen atom and one pi bond with nitrogen bond, so the conformation of carbon atom is Csp2. On the other hand, nitrogen also form one single bond and a pi bond, so it also contribute three hybrid orbital. Since it have one lone pair of nitrogen so they take one orbitals. Therefore, the conformation of nitrogen atom is Nsp3.

Thus, we concluded that the hybrid orbitals overlap to form the sigma bonds between the indicated atoms in xanthine is Csp2 and Nsp3.

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Help please!

A new element with atomic number 116 was discovered in 2000. In 2012 it was named livermorium, Lv. Although Lv is radioactive and short-lived, its chemical properties and reactivity should follow periodic trends.

a. Determine the electron configuration for the valence electrons of Lv in the ground state. (2 pts)

b. It has been suggested that Lv can form a 4+ ion. Identify what would be the electron configuration for the valence electrons for the Lv4+ ion? (1 point)

Answers

The electronic configuration of Lv element is [tex]5f^{14} 6d^{10} 7s^2 7p^4[/tex].

The electronic configuration of [tex]Lv^{+4}[/tex] is [tex]5f^{14} 6d^{10} 7s^2[/tex] .

What is electronic configuration?

Electronic configuration, also called electronic structure, is the arrangement of electrons in energy levels around an atomic nucleus.

And also the possible union with hydrogen can give two possible compounds:

[tex]LvH_2 \;or LvH_4[/tex]

This is because the Livermorio compound can have two different oxidation states with the values 2 and 4. When reacting with the hydrogen that its charge is +1, these would be the two possible equations of a client to the different oxidation states with the ones that might react Lv.

It is a synthetic chemical compound and its number in the periodic table is 116.

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#1

Atomic no=116

Lies ahead of Renedium -86

Electronic configuration

[Rn]5f¹⁴6d¹⁰7s²7p⁴

#2

Lv^4+ means 4 electrons donated

So it gets removed from p orbital

[Rn]5f¹⁴6d¹⁰7s²

1. For CCl4, upload a photo including the following: (1) work arriving at total # valence electrons
(2) hand drawn Lewis structure (3) molecular model (4) signature(s) and (5) date.

Answers

Work arriving at total valence electrons are 24

The valence electron is an electron in the outer shell associated with an atom, and that can participate in the formation of a chemical bond

For a main-group element, a valence electron can exist only in the outermost electron shell; for a transition metal, a valence electron can also be in an inner shell.

Lewis structures, also known as Lewis dot formulas, Lewis dot structures, electron dot structures, or Lewis electron dot structures (LEDS), are diagrams that show the bonding between atoms of a molecule, as well as the lone pairs of electrons that may exist in the molecule.

Calculating the work arrival at total valence electrons

We know 1 bond contains

2 valence electrons

Here CCl4 contains 4 bonds that is 8 valence electrons

Therefore ,

Total valence electrons are 32

Now valence electrons remain after bond formation =

32 - 8

=24 valence electrons

A molecular model is a physical model of an atomistic system that represents molecules and their processes

Molecular image and lewis hand drawn structure is as shown below

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You are watching tv and you see something on the corner of your eye what do you do and you're home alone

Answers

Talk to the doctor if you see something in the corner of your eye.

What is a visual hallucination?

Visual hallucinations involve seeing things that aren't there.

It's called a visual hallucination, and it can seem like your mind is playing tricks on you. Beyond being scary or stressful, it's also usually a sign that something else is going on.

So if it's happening to you, talk to your doctor. That's the first step toward getting better.

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How many moles of O2 are consumed when 2.10 mol of magnesium burns?

Answers

1.05 moles of oxygen gas are consumed in the reaction when 2.10 mol of magnesium burns.

What are moles?

A mole is defined as [tex]6.02214076 × 10^{23}[/tex] of some chemical unit, be it atoms, molecules, ions, or others. The mole is a convenient unit to use because of the great number of atoms, molecules, or others in any substance.

We are given:

Moles of magnesium = 2.10 mol

For the given chemical reaction:

2Mg + O₂ → 2MgO.

By Stoichiometry of the reaction:

2 moles of magnesium react with 1 mole of oxygen gas.

So, 2.10 moles of magnesium will react with = [tex]\frac{1}{2}[/tex] X2.10 =1.05 moles

Hence, 1.05 moles of oxygen gas are consumed in the reaction.

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diffrentiate between equation and chemical formula

Answers

A chemical equation is the symbolic representation of a chemical reaction in the form of symbols and formulae, wherein the reactant entities are given on the left-hand side and the product entities on the right-hand side with a plus sign between the entities in both the reactants and the products and an arrow that points towards the products, and shows the direction of the reaction. The coefficients next to the symbols and formulae of entities are the absolute values of the stoichiometric numbers. The first chemical equation was diagrammed by Jeen Beguin in 1615.

A chemical formula is a way of presenting information about the chemical proportions of atoms that constitute a particular chemical compound or molecule, using chemical element symbols, numbers, and sometimes also other symbols, such as parentheses, dashes, brackets, commas and plus and minus signs.

Hope this helps you!

Answer:

Explanation:

Chemical Formula:Represents the composition of a substance or compoundUses symbols and subscripts to indicate the types and numbers of atoms in a moleculeExample: H2O represents the chemical formula for waterChemical Equation:Represents a chemical reactionShows the reactants and products involved in the reactionUses chemical formulas and symbolsReactants are on the left side, products on the right side, separated by an arrowExample: 2H2 + O2 → 2H2O represents the reaction of hydrogen gas and oxygen gas to form waterIn summary:Formula describes composition, equation describes a reactionFormula uses subscripts for atom count, equation uses symbols and arrows

What is the concentration of acetic acid if three 65.0 mL samples of actic acid were neutralized with 16.8 mL, 18.2 mL, and 17.35 mL of 0.5.00 M KOH. (Hint: KOH and acetic acid react in a 1 to 1 mole ratio)​

Answers

M₁V₁=M₂V₂

65 x M₁ = 16.8 x 0.5

M₁ = 0.129

65 x M₁ = 18.2 x 0.5

M₁ = 0.14

65 x M₁ = 17.35 x 0.5

M₁ = 0.133

Average = 0.129 + 0.14 + 0.133 = 0.134 M

6. A sample of a gas at 77°C and 1.33 atm occupies a volume of 50.3 L. How many moles of the gas are present? (Hint: Since moles have been asked, which equation has the moles listed in the equation. Use that to solve this problem).

Answers

The number of moles of the gas at 77°C and 1.33 atm occupies a volume of 50.3 L is 2.35 moles. It can found with the help of Ideal gas equation.

What is Ideal Gas equation ?

The ideal gas equation is formulated as : PV = nRT.

In this equation, P refers to the pressure of the ideal gas, V is the volume of the ideal gas, n is the total amount of ideal gas that is measured in terms of moles, R is the universal gas constant, and T is the temperature.

Given ;

Pressure = 1.33 atmVolume = 50.3 ltrTemperature = 77 (+273 k) = 350K

We know ;

Gas constant (R) = 0.081 L atm/mol K

Formula used ;

n = PV / RT

n = 1.33 x 50.3 / 0.081 x 350k

  =  2.35 moles.

Hence, The number of moles of the gas at 77°C and 1.33 atm occupies a volume of 50.3 L is 2.35 moles

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acid base and solutions

Answers

The Arrhenius definition of an acid states that an acid ionizes or dissociates to from hydroxide ions in solution.

What is the Arrhenius definition of acid?

The definition of solutions was more given by the traditional scientist in smart solutions, which are natural solutions, like substances that - easy solutions, aqueous like bases.

In this case, Arrhenius definition of an acid states that an acid ionizes or dissociates to from hydroxide ions in solution.

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Sort the length measurements in increasing order of magnitude from smallest to largest.

Answers

The length measurements in increasing order of magnitude from smallest to largest is Nanometer, micrometer, centimeter, decimeter, dekameter, kilometer.

What is Measurement ?

Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events.

Measurement is a process of determining how large or small a physical quantity is as compared to a basic reference quantity of the same kind.

Hence, Among the given length measurements, The increasing order of magnitude from smallest to largest is Nanometer, micrometer, centimeter, decimeter, dekameter, kilometer.

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Aryan want to deposit silver on an iron spoon using silver nitrate as electrolyte. Which terminal of the battery he should connect the spoon? What material should the other electrode be made of?

Answers

Silver from the anode gets dissolved to reach the cathode, where the spoon will be plated.

What is electroplating?

Electroplating is a way of electrolysis, where a thin layer of metal is used to plate a determined object. It is a kinda process to purify a material you want.

The anode contains the metal you want to plate with, in this case, the Ag.

The anode contains the half-reaction of oxidation so:

Ag(s) → Ag ⁺ (aq)  +  e⁻

In the cathode, you have the spoon, which it takes place the half-reaction of reduction:

Ag ⁺ (aq)  +  e⁻  →  Ag(s)

The electrolytic cell, where the redox reaction takes place, must be filled with a AgNO₃ solution.

Silver from the anode gets dissolved to reach the cathode, where the spoon will be plated.

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Barium nitrate (Ba(NO3)2) reacts with sodium chloride (NaCl) in a double replacement (displacement) reaction, shown below.
Ba(NO3)2(aq)+NaCl(aq)-->???

How many grams of barium salt are produced when a solution containing 21.7 g of Barium nitrate is mixed with a solution containing excess sodium chloride?

Use 261.34 as the molar mass for barium nitrate. Round to three significant digits.

Answers

Answer:

you know that they will be a displacement reaction that will form a barium salt:

Ba(NO3)2+ 2NaCl--> BaCl2 + 2NaNO3

So now that we have that formula and the molecular weight we can determine how much salt will be made. So here we convert the grams to moles

(42.3g Ba(NO3)2)*(1 mole/261.34g) = 0.16185 mol

In the molecular formula we know that 1 mole of Barium nitrate will create 1 mole of Barium chloride, so in this case (in a perfect world) you should get 0.16185 mole of barium chloride (208.23 g/mol) that we then have to convert to grams.

(0.16185 mol BaCl2) * ( 208.23 g/mol) = 33.7037 g of Barium Chloride (rounded to 3 significant digits = 33.7g)

1) Consider this row in the periodic table. What changes can you predict based on what information is provided by the boxes for each element?

A) The elements change from solids to gases and the valence electrons decrease in number.

B) As you move across the row, the number of electrons increases and reactivity also increases.

C) They have different atomic numbers and mass numbers; they have the same number of valence electrons.

D) Both the atomic numbers and the mass numbers increase; the least reactive element is in the last box.

USA test prep question

Answers

Answer:

B) As you move across the row, the number of electrons increases and reactivity also increases.

Explanation:

The periodic table is arranged in a way that if you go across a period, the number of protons, neutrons, and electrons in an element increases. In terms of reactivity, the most reactive elements are the ones which have a high electronegativity. The electronegativity of the elements increases as you travel to the right and upwards on the periodic table.

The absolute molar entropies of O2 and N2 are 205 J K-1 mol -1 and 192 J K-1 mol-1, respectively, at 25°C. What is the entropy of a mixture of 2.4 moles of 02 and 9.2 moles of N2 at the same temperature and pressure?

Answers

The entropy of a mixture is 96.44J K-1 mol -1

The absolute molar entropies of O2= 205 J K-1 mol -1 The absolute molar entropies of N2=192 J K-1 mol -1 Moles of O2 present(m)=2.4Moles of N2 present(n)=9.2

The formula for calculating the entropy of a mixture-

Δ[tex]S_{mix} =[/tex][tex]-nR(X_{O2} ln_{XO2} +X_{N2} lnX_{N2})[/tex]

X=mole fraction

total no. of moles(t)=m + n

                             =2.4+9.2

                             =11.6 moles

now substituting the values-

entropy of mix=-11.6R(2.4/11.6 + 9.2/11.6)

                       =11.6R

( R=8.314 )        =11.6×8.314

                          =96.44J K-1 mol -1

hence, The entropy of a mixture is 96.44J K-1 mol -1

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Something he/she used to do or that occurredfrequently in the past uses the imperfect tense.In paragraph two describe his/her important contributions to their country, to Spanish speaking culture, their career, etc.What made this person famous or historical?Why do they stand out above all the others? What was noteworthy? Lleg a ser famoso/a por....If this person created something (art, music, legislation, literature), what are your thoughts about a particular work?If this person liberated or fought for something, what is one question you may want to ask them? Quiero preguntarle...Use outside sources (Internet, books, magazines, etc.) to gather information for this assignment. However, be sure not to copythe information directly from those sources. Copying information and presenting it as your own work is plagiarism and will resultin a failing grade. You will need to rephrase the information into your own words, and cite the source of the information youused. Use the knowledge you have to build on your skills. What do you do when your bored in school with a mean teacher The output of u. S. Citizens who work in canada would be included in the What is the asymptote of the graph of f(x)=5x1? In the standard Normal distribution, which z-score represents the 99th percentile?Find the z-table here.3.002.332.333.00Picture posted below Even an inhabitant of the neighbouring county of Lancaster is struck by the peculiar force of character which the Yorkshiremen display. This makes them interesting as a race; while, at the same time, as individuals, the remarkable degree of self-sufficiency they possess gives them an air of independence rather apt to repel a stranger. I use this expression, "self-sufficiency" in the largest sense. Conscious of the strong sagacity and the dogged power of will which seem almost the birthright of the natives of the West Riding, each man relies upon himself, and seeks no help at the hands of his neighbour. From rarely requiring the assistance of others, he comes to doubt the power of bestowing it: from the general success of his efforts, he grows to depend upon them, and to over-esteem his own energy and power.The word sagacity means .The word bestowing means .Reset What celestial body is used to measure siderial day? While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.1 European euro = 1.3687 US dollars How has water in Southwest Asia become a regional issue? There is a bag filled with 6 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting at least 1 blue? According to Newton's 2nd law of motion, if you hit a baseball with a bat it will-hurt your hand from the reaction force-accelerate according to the applied force-fly in a straight line unless an outside force changes its course-fall to the ground because of gravitational pull Here is an equation: 5x - 2y = 10Create 3 equations that result in1. 1 solution2. No Solutions3. Infinitely many solutionsYou should provide three different answers and an explanation why your equations work. A driver may pass another vehicle when safe if: