1. A fluid is a substance that (a) always expands until it fills any container; (b) is practically incompressible; (c) cannot be subjected to shear forces; (d) cannot remain at rest under action of any shear force.

Answers

Answer 1

Answer:

cannot remain at rest under the action of any shear force.


Related Questions

57.A cofactor is a(an)
a. catalyst for chemical reactions in a living system.
b. protein molecule whose primary function is transport of insoluble molecules in the
bloodstream.
C.
d.
e.
molecule that is acted on by a catalyst.
biological molecule used for storage of energy.
organic or inorganic molecule or ion necessary for proper functioning of some
biological catalysts.

Answers

A cofactor is an organic or inorganic molecule or ion necessary for proper functioning of some biological catalysts (option E).

What is a cofactor?

A cofactor in biochemistry is a molecule that binds to and regulates the activity of a protein.

A cofactor is a metal or coenzyme responsible for the functioning of an enzyme and must be present.

Therefore, a cofactor is an organic or inorganic molecule or ion necessary for proper functioning of some biological catalysts.

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For this same exercise, if 2.5 liters of this solution (2,500 ml) are administered in a 24-hour interval, what amount in grams of glucose did the patient receive in one day? the glucose to dissolve is 50 grams

Answers

Answer:

j

Explanation:

becaisdbyhe wrl is so not goood

which of the three minerals contain calcium carbonate?
A. salt
B. chalk
C. talcum

Answers

Answer:

Answer choices A, B, and C all contain a certain level (or amount, if you will) of Calcium Carbonate, but B. chalk contains the most amount out of all three.

Explanation:

I hope that this was helpful! (✿◠‿◠)

Thank you!

Which group on the periodic table has the most reactive metals?
A.
group 1
B.
group 3
C.
group 18
D.
group 17

Answers

Answer:

A  group 1

Explanation:

Group 1

reactivity decreases as you go from L to R or downward on the periodic table

What's electrolysis​

Answers

Answer:

electrolysis is the process by which electric current is passed through a substance to effect a chemical change

The rate law for the reaction 3A --> 2B is rate = k[A] with a rate constant of 0.0447 hr-1.
What is the half-life of the reaction?
A) 0.0224 hr
B) 0.0645 hr
C) 15.5 hr
D) 22.4 hr
E) 44.7 hr

Answers

The half-life of the reaction is determined as 22.4 hr.

Half life of the reaction

The half life of the reaction is calculated as follows

rate of reaction, k = Δ[A]/3t = Δ[B]/2t

t = Δ[A]/3k = Δ[B]/2k

where;

k is rate constant = 0.0447/hr

t = (3)/(3 x 0.0447) = (2)/(2 x 0.0447) = 22.4 hr

Thus, the half-life of the reaction is determined as 22.4 hr.

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What temperature would constitute a fever for a child? What effects on dental treatment would a fever pose?

Answers

Answer:

38

Explanation:

that I believe is correct

Place the stages of a high-mass star's life cycle in the correct order, from a star's birth to its death.
supergiant
neutron star
protostar
nebula
supernova

Answers

Whether a living or non-living object, everyone has a particular life cycle. It starts right from the birth and ends upon the death of that object. Just like others, stars also have their own life cycle and that has different stages.

Nebula ⇒ Protostar ⇒ Supergiant ⇒ Supernova ⇒ Neutron Star

What is the life cycle of a high-mass star?

In the initial stage, a star is in the form of a nebula. At this stage, it is a huge cloud of gas and dust. The changes occur in the star and the final size totally depends upon the size of that star.

In a massive star, the fuel is used very quickly because of its life span of a few hundred thousand years. The second stage is the Protostar.

The next stage is the Supergiant. At this stage, the nuclear reactions that occur because of the hydrogen will gradually run out and the star will enter the final phase of its life span. The bigger star will have more massiveness.

Following this, the star will enter the next stage, i.e., supernova, and after that, neutron star. In a supernova, the star will have a very energetic and violent end. In the last stage, when the dust particles clear, a neutron star will be visible.

For better understanding, an image is attached at the end.

Thus, the life cycle of a high-mass star is arranged from its birth to its death.

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The stages of a high-mass star's life cycle in the correct order, from a star's birth to its death are-

Nebula

Protostar

Supergiant

Supernova

Neutron star

The life cycle of a high-mass star begins with a nebula, a cloud of gas and dust in space. As gravity pulls the nebula together, it forms a protostar—a young, hot, and dense object. The protostar continues to gather mass and becomes a main-sequence star, burning hydrogen in its core.

Once the hydrogen is exhausted, the star expands into a supergiant and starts fusing helium into heavier elements. Eventually, it undergoes a supernova explosion, releasing an enormous amount of energy and leaving behind a dense core known as a neutron star. This process showcases the incredible transformations that high-mass stars undergo throughout their life cycle.

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Hi, Can someone help me with this question, please! It's due tonight!
Given the balanced equation:

3 CO + 7 H2 C3H8 + 3 H2O,

how much C3H8 will be produced if 45.8 g CO reacts with 87.3 g H2?

Answers

Answer:

24.0 g C₃H₈

Explanation:

To find the mass of C₃H₈, you need to (1) convert grams CO/H₂ to moles CO/H₂ (via molar mass), then (2) convert moles CO/H₂ to moles C₃H₈ (via mole-to-mole ratio from reaction coefficients), and then (3) convert moles C₃H₈ to grams C₃H₈ (via molar mass). It is important to arrange the conversions/ratios in a way that allows for the cancellation of units (the desired unit should be in the numerator). The final answer should have 3 sig figs to reflect the sig figs in the given values.

Molar Mass (CO): 12.011 g/mol + 15.998 g/mol

Molar Mass (CO): 28.009 g/mol

Molar Mass (H₂): 2(1.008 g/mol)

Molar Mass (H₂): 2.016 g/mol

Molar Mass (C₃H₈): 3(12.011 g/mol) + 8(1.008 g/mol)

Molar Mass (CH): 44.097 g/mol

3 CO + 7 H₂ ----> 1 C₃H₈ + 3 H₂O
^           ^              ^

45.8 g CO           1 mole              1 mole C₃H₈          44.097 g
-----------------  x  ------------------  x  --------------------  x  ------------------  =
                           28.009 g           3 moles CO            1 mole

=  24.0 g CH

87.3 g H₂           1 mole           1 mole C₃H₈          44.097 g
----------------  x  ---------------  x  ---------------------  x  -----------------  =  
                          2.016 g           7 moles H₂             1 mole

=  273 g CH

It was necessary to find the mass of the products from both of the reactants because you did not know which one was the limiting reagent. The limiting reagent is the reactant which is completely used up first. Because CO produced the smaller amount of product, it must be the limiting reagent. Therefore, the actual amount of CH produced is 24.0 grams.

What volume in milliliters of 0.0150 M Ba(OH)2 is required to neutralize 50.0 mL of 0.0500 M HBr?​

Answers

The volume of [tex]Ba(OH)_2[/tex] required will be 83.33 mL

Stoichiometric reactions

The equation of the reaction is as follows:

[tex]Ba(OH)_2 + 2HBr --- > 2H_2O + BaBr_2[/tex]

Mole ratio of reactants = 1:2

Mole of 50 mL, 0.05 M HBr = 0.05 x 0.05 = 0.0025 moles

Equivalent mole of  [tex]Ba(OH)_2[/tex] = 0.0025/2 = 0.00125 moles

Volume of 0.015 M, 0.00125 moles  [tex]Ba(OH)_2[/tex] = 0.00125/0.015 = 0.0833 L

0.0833 L = 83.33 mL

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A sample of He gas (2.35 mol) occupies 57.9 L at 300.0 K and 1.00 atm. The volume of this sample is __________ L at 423 K and 1.00 atm.

Answers

Considering the combined law, the volume of the sample is 81.639 L at 423 K and 1.00 atm.

Charles's law

Charles's law establishes the relationship between the temperature and the volume of a gas when the pressure is constant. This law says that the volume is directly proportional to the temperature of the gas: if the temperature increases, the volume of the gas increases while if the temperature of the gas decreases, the volume decreases.

Mathematically, Charles's law states:

[tex]\frac{V}{T}=k[/tex]

Boyle's law

Boyle's law states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant. That is, if the pressure increases, the volume decreases while if the pressure decreases, the volume increases.

Mathematically, this law is expressed as:

P×V= k

Gay-Lussac's law

Gay-Lussac's law establishes the relationship between the temperature and pressure of a gas when the volume is constant. This law says that the pressure of a gas is directly proportional to its temperature: if the temperature increases, the pressure will increase, while if the temperature decreases, the pressure will decrease.

Mathematically, Gay-Lussac's law states:

[tex]\frac{P}{T}=k[/tex]

Combined law equation

Combined law equation is the combination of three gas laws called Boyle's, Charlie's and Gay-Lusac's law:

[tex]\frac{VxP}{T}=k[/tex]

Considering an initial state 1 and a final state 2, it is fulfilled:

[tex]\frac{V1xP1}{T1}=\frac{V2xP2}{T2}[/tex]

Volume of the sample

In this case, you know:

V1= 57.9 LP1= 1 atmT1= 300 KV2= ?P2= 1 atmT2= 423 K

Replacing in combined law equation:

[tex]\frac{57.9 Lx1 atm}{300 K}=\frac{V2x1 atm}{423 K}[/tex]

Solving:

[tex]V2= \frac{423 K}{1 atm} \frac{57.9 Lx1 atm}{300 K}[/tex]

V2= 81.639 L

Finally, the volume of the sample is 81.639 L at 423 K and 1.00 atm.

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How does increasing the temperature of a liquid below the boiling point affect
the motion of the particles in the liquid?
OA. The particles move faster.
B. The motion of the particles overcomes the forces holding the
particles together.
OC. The motion of the particles strengthens the forces between the
particles.
D. The particles move slower.

Answers

Answer: A. The particles move faster

Explanation:

Increasing the temperature increases the kinetic energy of the particles, causing them to move faster.

Help pls !!!


From first step to eighth, options are on the right !

Answers

Wastewater can be treated using series of eight steps which would be clarified below.

What are the steps of wastewater treatment?

Wastewater is the type of water that is used for four different purposes in homes,offices, industries and factories.

These wastewater contain human waste, food scraps, oils, soaps and chemicals which can be treated and reused through the following means:

First Step: headworks, remove big objects.

Second step: separate tiny solid particles and oil out of the water by settling (primary treatment).

Third step: Pump up the water to secondary treatment level.

Fourth step: Let solids settle and oil float again and let bacteria do de-nitrification without blowing any air (secondary treatment).

Fifth step: Blow pure oxygen through the water and let bacteria eat the waste. Also let the bacteria perform de-nitrification (secondary de-nitrification).

Sixth step: Filtration, disinfection, reverse osmosis filtration (tertiary treatment).

Seventh step: send 6% of the water away from the tertiary treatment.

Eight step: drop most of the water through a 5 mile pipe 200 feet deep into the ocean.

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What is technology ?

Answers

Answer:

Technology is the application of scientific knowledge for practical purposes especially in industry.

The sugar fructose contains 40.0% C, 6.7% H, and 53.3% O by mass. A solution of 11.7 g of fructose in 325 g of ethanol has a boiling point of 78.59 °C. The boiling point of ethanol is 78.35 °C, and Kb for ethanol is 1.20 °C/m. Assuming ideal solution behavior, what is the molecular formula of fructose?

Answers

The molecular formula of fructose is C₆H₁₂O₆.

What is the molecular formula of fructose?

The molecular formula is derived in the following steps:

Step 1. the molality of the solution is determined first

Molality = Change in boiling point/Kb

Molality = (78.59 - 78.35)/1.2 = 0.2 molal

Step 2. Moles of solute is determined.

Moles of solute = molality * mass of solvent (kg)

moles = 0.2 * 0.325 = 0.065

Step 3. Molar mass of fructose = mass/moles

Molar mass of fructose = 11.7/0.065 = 180 g/mol

Step 4: Mole ratio of constituent elements

Carbon = 40% * 180/12 = 6

Hydrogen = 6.7% * 180/1 = 12

Oxygen = 53.3% * 180/16 = 6

Therefore, the molecular formula of fructose is C₆H₁₂O₆.

In conclusion, the molecular formula of fructose is derived from the molality of the solution.

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which of these is/are conserved during a chemical reaction ?
a)Mass only
b) Charge only
c)both mass and charge
d)neither

Answers

Answer:

C- both!

Explanation:

In a chemical reaction, the total mass and total charge has to be balanced on both sides of the "equation", therefore both are conserved

Alpha Decay

1. If an atom of Uranium-238 decays via alpha emission, what would be its daughter product? (You will need a periodic table.)


2. If an atom of Thorium -228 decayed via beta emission, what would be the daughter isotope?

Answers

Thorium 234 is the daughter product of Uranium-238 decays whereas protactinium 234 is the daughter product of Thorium -228.

What are the products of Uranium-238 and Thorium -228?

If an atom of Uranium-238 decays via alpha emission, a nucleus of uranium 238 decays by alpha emission to form a daughter nucleus, thorium 234 while If an atom of Thorium -228 decayed via beta emission, the daughter isotope is protactinium 234.

So we can conclude that thorium 234 is the daughter product of Uranium-238 decays whereas protactinium 234 is the daughter product of Thorium -228.

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Find the pH of 0.0025M sodium benzoate

Answers

no thank you hahahahahahahahah

Behavior can best be defined as
A.
the response of an organism to its environment.
B.
the physical characteristics of a species.
C.
a sudden change in an organism's habitat.
D.
the geographic range of a species.

Answers

A I feel like it’s the answer

Calculate the relative rate of diffusion of 1H2 (molar mass 2.0 g/mol) compared with 2H2 (molar mass 4.0 g/ mol) and the relative rate of diffusion of O2 (molar mass 32 g/mol) compared with O3 (molar mass 48 g/mol).

Answers

The ratio of diffusion rates of ¹H₂ to ²H₂ is 1.4 while the ratio of diffusion rates of O₂ to O₃ is 1.2.

What is Graham's law?

Graham’s law states can be described as the rate of diffusion of a gas is inversely proportional to the square root of its molecular weight of the gas.

According to this Law, molecules with lower molecular mass will diffuse faster than those with higher molecular mass molecules at constant pressure and temperature.

The mathematical formula is utilized to compare the rates of diffusion of two different gases at pressures and temperatures.

[tex]{\displaystyle \frac{R_1}{R_2} =\sqrt{\frac{M_2}{M_1} }[/tex]

Where M₁ and M₂ represent the molar mass of gas 1 and gas 2.

Given, the molar mass of  ¹H₂  = 2.0 g/mol

The molar mass of to ²H₂ = 4.0 g/mol

The ratio of the rate of diffusion of ¹H₂ to ²H₂:

[tex]{\displaystyle \frac{R_{^1H_2}}{R_{^2H_2}} =\sqrt{ \frac{M_{^2H_2}}{M_{^1H_2}} }[/tex]

[tex]{\displaystyle \frac{R_{^1H_2}}{R_{^2H_2}} =\sqrt{ \frac{4}{2} }[/tex]

[tex]{\displaystyle \frac{R_{^1H_2}}{R_{^2H_2}} =1.4[/tex]

Given, the molar mass of  O₂  = 32.0 g/mol

The molar mass of to O₃ = 48.0 g/mol

The ratio of the rate of diffusion of O₂ to O₃:

[tex]{\displaystyle \frac{R_{O_2}}{R_{O_3}} =\sqrt{ \frac{M_{O_3}}{M_{O_2}} }[/tex]

[tex]{\displaystyle \frac{R_{O_2}}{R_{O_3}} =\sqrt{ \frac{48}{32} }[/tex]

[tex]{\displaystyle \frac{R_{O_2}}{R_{O_3}} =1.2[/tex]

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How many molecules are in 84.7 grams?

Answers

The number of molecules will depend on the molar mass of the compound.

Number of molecules

According to Avogadro, 1 mole of any substance contains 6.022 x [tex]10^{23}[/tex].

To find the number of moles in a substance:

Mole = mass/molar mass.

In this case, we do not know the compound but we know the mass. Hence, we cannot know the molar mass.

Assuming the molar mass is X.

Mole = 84.7/X

Number of molecules in 84.7 grams of the compound =

              84.7/X x 6.022 x [tex]10^{23}[/tex] molecules.

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determine the number of moles of H in each sample

Answers

C. The number of moles of H in 0.109 mole of N₂H₄ is 0.436 mole

D. The number of moles of H in 34 moles of C₁₀H₂₂ is 748 moles

C. How to determine the number of mole of H in 0.109 mole of N₂H₄

1 mole of N₂H₄ contains 4 moles of H

Therefore,

0.109 mole of N₂H₄ will contain = 0.109 × 4 = 0.436 mole of H

D. How to determine the number of mole of H in 34 mole of C₁₀H₂₂

1 mole of C₁₀H₂₂ contains 22 moles of H

Therefore,

34 mole of C₁₀H₂₂ will contain = 34 × 22 = 748 mole of H

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What do you see when the Moon is waning?

Answers

Answer:

The bright side of the moon will become less and less and will eventually be covered in complete darkness :)

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the brightness of the moon will slowly decrease and it will slowly become dark

When aqueous solutions of calcium bromide and potassium carbonate are combined, solid calcium carbonate and a solution of potassium bromide are formed. The net ionic equation for this reaction is:

(Use the solubility rules provided in the OWL Preparation Page to determine the solubility of compounds.)

(screen shot is attached ) please help

Answers

[tex]K_2CO_3 + CaBr_2[/tex] → [tex]KBr + CaCO_3[/tex]  is the net ionic equation for this reaction.

What is an ionic equation?

An ionic equation is a synthetic equation where electrolytes are composed as separated particles.

[tex]K_2CO_3 + CaBr_2[/tex] → [tex]KBr + CaCO_3[/tex] is the net ionic equation for this reaction.

A balanced ionic equation. shows the reacting ions. in a chemical reaction. These equations can be used to represent what happens in precipitation reactions.

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the roof of a building is 0.2km^2. during a rainstorm, 5.5 cm of rain was measured to be sitting on the roof. what is the mass in kg of the water on the roof after the rainstorm? (density of rainwater = 1g/ml)

Answers

The mass in kg of the water on the roof after the rainstorm is mathematically given as

The mass of the water on the roof after a rainstorm is 1.1 *10^{10}g  or 1.1*10^{7}kg

What is the mass in kg of the water on the roof after the rainstorm?

Generally, the equation for the Area of the roof is  mathematically given as

[tex]A=0.20 \times 10^{10} \mathrm{~cm}^{2}[/tex]

height of the rain =5.5cm

the volume of the rain on the roof =1.1 * 10^{10} CC

Generally, the equation for mass is  mathematically given as

mass=volume*density

[tex]&=\left(1.1 \times 10^{10} \mathrm{cC} \times 1 \mathrm{~g} / \mathrm{cc}\right) \\&=1.1 \times 10^{10} \mathrm{~g}[/tex]

In conclusion, the Mass of the water on the roof after a rainstorm is 1.1 *10^{10}  or $1.1*10^{7}

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Calculate the molecular mass of a 2.66g sample of gas at a temperature of pressure of 845torr and occupying a volume of 0.70L.

Answers

The molecular mass of a 2.66g sample of gas at a temperature of pressure of 845torr and occupying a volume of 0.70L is 84.16g/mol.

How to calculate molecular mass?

The molecular mass can be calculated by first calculating the number of moles using the following formula:

PV = nRT

Where;

P = pressureV = volumen = no of molesR = gas law constantT = temperature

1.112 × 0.7 = n × 0.0821 × 300

0.7784 = 24.63n

n = 0.032mol

molecular mass = 2.66g ÷ 0.032mol

molecular mass = 84.16g/mol

Therefore, the molecular mass of a 2.66g sample of gas at a temperature of pressure of 845torr and occupying a volume of 0.70L is 84.16g/mol.

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differenciate between adsorption and absorption.
[tex] \\ [/tex]

ty! ~​

Answers

Answer:

Adsorption is the adhesion of atoms, ions or molecules from a gas, liquid or dissolved solid to a surface. This process creates a film of the adsorbate on the surface of the adsorbent. This process differs from absorption, in which a fluid is dissolved by or permeates a liquid or solid.

while ,

Absorption is a physical or chemical phenomenon or a process in which atoms, molecules or ions enter some bulk phase – liquid or solid material. This is a different process from adsorption, since molecules undergoing absorption are taken up by the volume, not by the surface

[tex] \\ [/tex]

-,-

The compound HBr can be decomposed to form H2 and Br2. This can be represented at the atomic level by a chemical equation:
2HBr H2 + Br2

According to the law of conservation of mass, if 29.5 grams of HBr decomposes and 0.4 grams of H2 is formed, how many grams of Br2 must simultaneously be formed?

Answers

The law of conservation of mass say that, in a chemical reaction, the mass of the reagents will always be equal to the mass of the products.

If we have 29.5 g of HBr, we must have 100 g of H2 and Br2 together, so:

29.5 = 0.4 + Br2Br2 = 29.1 g

How many grams of Al are needed to react with 63.0 g of FeO

Answers

The amount of Al required will be 15.77 grams

Stoichiometric problem

First, the equation of the reaction:

[tex]2Al +3 FeO -- > Al_2O_3 + 3Fe[/tex]

The mole ratio is 2:3.

Mole of 63.0 g of FeO = 63/71.84 = 0.8769 moles

Equivalent moles of Al = 0.8769 x 2/3 = 0.5846 moles

Mass of 0.5846 moles Al = 0.5846 x 26.98 = 15.77 grams

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Taking into account the reaction stoichiometry, 13.28 grams of Al is required to react with 63 grams of FeO.

Reaction stoichiometry

In first place, the balanced reaction is:

2 Al + 3 FeO → 3 Fe + Al₂O₃

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

Al: 2 molesFeO: 3 molesFe: 3 molesAl₂O₃ : 1 mole

The molar mass of the compounds is:

Al: 27 g/moleFeO: 71.85 g/moleFe: 55.85 g/moleAl₂O₃ : 102 g/mole

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

Al: 2 moles ×27 g/mole= 54 gramsFeO: 3 moles ×71.85 g/mole= 215.55 gramsFe: 3 moles ×55.85 g/mole= 167.55 gramsAl₂O₃ : 1 mole ×102 g/mole= 102 grams

Mass of Al required

The following rule of three can be applied: If by reaction stoichiometry 215.55 grams of FeO react with 54 grams of Al, 53 grams of FeO react with how much mass of Al?

[tex]mass of Al= \frac{53 grams of FeOx54 grams of Al}{215.55 grams of FeO}[/tex]

mass of Al= 13.28 grams

Finally, 13.28 grams of Al is required to react with 63 grams of FeO.

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How much heat would need to be removed to
cool 215.1 g of water from 25.6°C to -10.7°C?

Answers

Answer:

100 KJ

Explanation:

yep yep cool is that correct

Other Questions
Find the missing value of the ordered triple that will make the solution to the equation x + 2y 3z = 8 true.7. (4, , 0)8. ( , -2, -2)9. (2, 3, )10. (-3, -2, ) Why was the following sentence written in passive voice? "Neil Carroll scored the final point."A. The subject is unknown.B. None of these. This sentence is written in active voice.C. The object is the most important part of the sentence.D. The verb is the most important part of the sentence. Predict the products of the double replacement reactions given. Check to see that the equations arebalanced.AgNO3 + NaCl ?O AgNa+CINO3O NaNO3 + AgCl (s)O2NaNO3 + 3AgCl (s)O Ag+ NaNO3 why is learning the scientific method as an allied health care professional is important? What are the themes in the book Turtles all the way down If line segment ru is considered the base of parallelogram rstu, what is the corresponding height of the parallelogram?. 3750 J of heat were added to sample of magnesium with an unknown mass. If the temperature ofthe sample increased by 23 C, what is the mass of the sample? (The specific heat of magnesium is 1.02 J/g. Celsius. which molecule most likely has the greastest amount of stored energy in its bond How were the European empires of the nineteenth century similar to earlier European empires in the sixteenth and seventeenth centuries As a barrier to new entry, absolute cost advantages can be based on Group of answer choices control over low-cost inputs required for production, be they labor, materials, equipment, or management skills. the unique ability of established companies to spread fixed costs over a large volume. continuous advertising of brand and company names. high product quality, service-oriented innovations, and good after-sales service. cost reductions that arise from the mass production of standardized output. Which image represents how Enkai appears when he is pleased with his people?A volcano erupting.The rising sun.A stormy sky. Determine the equation of the parabola shown in the diagram in factored form. (check picture below) In some African nations, the end of European colonial rule brought about political instability. Many countries were not able to establish a stable democratic government. As a result, some nations were vulnerable to X. y. -1. 1/10 0. 1/2 1. 5/2 2. 25/2 3. 125/2What is the rate of change of the function described in the table?a. 12/5b. 5c. 25/2d. 25 Find the length of the segment with endpointsA (-1, 4) and B (8, - 5). Analyzing ViewpointLying down was not an option, nor could we all sit down.We decide to take turns sitting. There was little air. Thelucky ones found themselves near the window; they couldwatch the blooming countryside. After two days travel,thirst became intolerable, as did the heat. There was stillsome food left. But we never ate enough to satisfy ourhunger. Our principle was to economize, to save fortomorrow. Tomorrow could be worse yet.-Night,Elie WieselWhat is the author's purpose for writing, asdemonstrated by this passage?How does the author's viewpoint support thispurpose? According to our reading, societies characterized by ______________ solidarity are a far cry from what so many of us today have experienced; they are simple, homogenous in origin, meaning people are intensely alike morally, religiously and socially, and repressive law is used as the means for regulating social conduct. A ____ consists of a novel and confidential formula, device, idea, process, pattern, or compilation of information that gives the owner a competitive advantage in the marketplace. Select the correct answer.Which function has zeros at -2, -1, and 4? The long-run market supply curve a. has the same elasticity as the short-run market supply curve. b. is more elastic than the short-run market supply curve. c. is less elastic than the short-run market supply curve. d. is always perfectly elastic.