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HELP! 10 Points Rewarded, Plus, Best Answer Gets BAINLIEST!!

Answers

Answer 1

Answer:

4.08 grams

Explanation:

Essentially, we're looking for the mass of HCl that "matches" 3.26 grams of magnesium hydroxide.

First, convert 3.26 grams of [tex]Mg(OH)_2[/tex] into moles by dividing by the molar mass. The molar mass of [tex]Mg(OH)_2[/tex] is 24.3 + 16 * 2 + 1 * 2 = 58.3 g/mol. So, 3.26 grams is equal to:

3.26 g ÷ 58.3 g/mol = 0.0559 mol [tex]Mg(OH)_2[/tex]

Notice that from the chemical equation, magnesium hydroxide and hydrochloric acid (HCl) have a ratio of 1 to 2. In other words, for every 0.0559 moles of [tex]Mg(OH)_2[/tex], there are 0.0559 * 2 = 0.112 moles of HCl.

Finally, convert moles of HCl to grams by multiplying 0.112 by the molar mass, which is 1 + 35.45 = 36.45 g/mol:

0.112 mol HCl * 36.45 g/mol = 4.08 g HCl

The answer is thus 4.08 grams.

~ an aesthetics lover


Related Questions

What can you infer about the results of numerical models in 1966 for polar caps
made of water ice?

Answers

Answer:

that by living near the poles, people might be able to survive on Mars

Explanation:

Lactose (milk sugar) is a carbohydrate that is formed by combining galactose and glucose. Which term best describes this molecule? monosaccharide disaccharide monomer starch

Answers

Explanation:

lactose is disaccharide

because it contains 1 monosaccharide galactose +

1 monosaccharide glucose

The correct answer to the question is: disaccharide

Monosaccharides are simple sugar which can not be hydrolysed into simpler or smaller molecules.

Disaccharides are sugars produced by the condensation of two monosaccharides with the elimination of a water molecule.

monosaccharide + monosaccharide <=> Disaccharide + water

A Monomer is a small molecule which can combine with other similar molecules to form a large molecule called polymer. Thus, a monomer of starch is simply a small molecule that combines together to form a polysaccharide called starch. The monomer of starch is glucose.

Glucose and galactose combined to form lactose i.e

Glucose + Galactose => Lactose

The above is simply a demonstration of how disaccharides are produced.

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What type of compound are carbon tetrachloride and boron trihydride?

Answers

Answer:

hydrocarbon

Explanation:

these are called hydrocarbons

PLEASE HELP RIGHT AWAY!! THANK YOU :)
Copper turns a green-brown when it is exposed to oxygen in air. What chemical property of oxygen causes this effect?

A). its reactivity

B). its mass

C). its flammability

D). its volume

Answers

Answer:

The answer is option A.

its reactivity

I hope this helps you.

Answer:

A) Reactivity

Explanation:

Reactivity is one of the characteristics of a chemical property. The copper that turned color due to air, has a different chemical composition.

It wouldn't be flammability - even though it is a chemical property, but nothing is burning.

All the other answer choises: mass and volume are physical properties. Basically the PHYSICAL characteristics which doesn't change the composition.

Hope this helps!

ON A TIMER!!! PLZ HELP ME!!!
Consider the reaction below. *Image* Which is the net ionic equation for the reaction?

Answers

Answer:

C2H3O2^-(aq) + H^+ —> HC2H3O2

Explanation:

The following equation was given in the question:

Na^+ + C2H3O2^-(aq) + H^+ Cl^- —> Na^+ + Cl^- + HC2H3O2

Now, to obtain the net ionic equation, we simply cancel out the ions common to both side of the equation.

A careful observation of the equation above, shows that sodium ion, Na^+ and chloride ion, Cl^- are common to both side of the equation.

Therefore, to obtain the net ionic equation, we simply cancel out Na^+ and Cl^- from both side of the equation. This is illustrated below:

Na^+ + C2H3O2^-(aq) + H^+ Cl^- —> Na^+ + Cl^- + HC2H3O2

C2H3O2^-(aq) + H^+ —> HC2H3O2

Therefore, the net ionic equation is

C2H3O2^-(aq) + H^+ —> HC2H3O2

400 ml of a 75 M solution of H2SO4 is needed to for a lab. The stock solution is 16.0 M. Calculate how much stock is needed to make the solution.

Answers

Answer:

The volume of stock solution needed to make the solution is 1875 ml

Explanation:

The parameters given are;

The volume of 75 M solution of H₂SO₄ = 400 ml

The concentration of stock solution = 16.0 M

Number moles per liter of stock solution = 16 moles

Number of moles in required 400 ml solution = 0.4×75 = 30 M

Volume of stock solution that contains 30 M = 30/16×1 = 1.875 l

The volume of stock solution that is required = 1875 ml

Which topic is commonly used to explain activation energy and how chemical reactio
reaction rate
collision theory
velocity distribution
spontaneous reaction

Answers

Answer:

The answer is collision theory

I hope this helps you.

The table below lists the properties of a metallic element. Shiny, Silver colored, Forms +1 and +2 ions, compound with sulfur is bright red. Where on the periodic table would this element most likely be found?
Group 1
Group 2
Group 12
Group 13

Answers

Answer:

The correct option is;

Group 12

Explanation:

A metallic element that is shiny and silver colored that can exist in the +1 and +2 ionic states and  which forms a bright red compound with sulfur is mercury, Hg

The compound formed between mercury and silver is one of the earliest synthetic compound also known as vermilion and cinnabar. The bright red pigment of the HgS is used widely and is one of the most favorite pigment found in medieval European outstanding works of arts and in Chinese decorated wares made of lacquer as well as in mesoAmerica.

Answer:

12

Explanation:

Production of synthetic fibers helps in the conservation of forests comment

Answers

Answer:

Explanation:

Synthetic fibres are made using chemicals. Hence they do not require any forest resources like wood. This helps in saving the trees from cutting down. So the production of synthetic fibers helps in the conservation of forests.

Natural fibres on the other hand require forest products like wood for its manufacture.

Hope this helps

plz mark it as brainliest!!!!!!!!!

Answer:

yes, they do help in conservating the forest resources.

Explanation: This is because synthetic fibers like rayon, nylon etc are made from petrochemicals which helps to substitute usage of natural resources like cotton etc. and these synthetic fibers are more durable than natural fibers, which adds to their usage and in turn, helps to conserve forest resources.

what is the chemical test to differentiate ethanol from ethanoic acid

Answers

Answer:

Sodium hydrogencarbonate or sodium carbonate

What was the plum-pudding atomic model? A. A description of atoms being balls of positive charge with electrons scattered outside B. A description of electrons orbiting the nucleus of the atom C. A description of electrons scattered inside the atom D. A description of negative charges being suspended between balls of positive charge

Answers

Answer:

C

Explanation:

plum- pudding atomic model is an atom that had a positively charged medium, or space, with negatively charged electrons inside the medium.

The correct answer is (A) A description of atoms being balls of positive charge with electrons scattered outside.

What is plum pudding atomic model? The plum pudding atomic model was proposed by JJ Thomson.This atomic model had electrons embedded with positive charge.The plums were negatively charged electrons the pudding were the positively-charged protons.

Why other options are incorrect?

Option (A) is correct because the atom was a sphere of positive charge with negatively charged electrons scattered around the atom like plums in a pudding.

So , Rest  options that are B , C and D are incorrect.

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The production of water proceeds according to the following equation.
2H2(g) + O2(g) → 2H2O(g)
Which describes a way to speed up the collisions between hydrogen and oxygen molecule:
Use a less-intense source of heat on the reactants.
Maintain the same temperature of the reactants.
Place the reactants in a smaller container.
Reduce the concentration of the reactants.

Answers

Answer:

Place the reactants in a smaller container.

Explanation:

If you were to reduce the source of heat, the hydrogen and oxygen molecules would lose their kinetic energy, resulting in less collisions.

_______________________________________________________

Maintaining the same temperature of the reactants, the speed would neither increase nor decrease as temperature is directly proportional to the kinetic energy of the molecules, which in turn is directly proportional to the number of collisions. However, placing the reactants in a smaller container would result in less volume, and hence the molecules would collide with one another more often!

Hope that helps!

The primary requirement of a reaction to occur is that the reactant particles must collide and interact with each other in some way. Place the reactants in a smaller container which speed up the collisions between hydrogen and oxygen molecule. The correct option is C.

What is collision theory?

The collision theory states that the rate of a chemical reaction is proportional to the number of collisions between the reactant molecules. The more often reactant molecules collide, the more often they react with one another and faster will be the reaction rate.

If we reduce the source of heat, the hydrogen and oxygen molecules would lose their kinetic energy, resulting in less collisions. The temperature is directly proportional to the kinetic energy of the molecules, which in turn is directly proportional to the number of collisions.

If we place the reactants in a smaller container it would result in less volume, and hence the molecules would collide with one another more often.

Thus the correct option is C.

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15. Discuss the various factors which affect the rate of evaporation. Latent heat
evaporation of two liquids A and B is 100 J/kg and 150 J/kg respectively. Which
can produce more cooling effect and why? (5)​

Answers

Answer:

The correct answer is liquid B.

Explanation:

Latent heat of vaporization also known as the latent heat of evaporation. This latent heat transforms the particles of liquid into a gas without affecting its temperature. For example, the latent heat of evaporation for water is 40.8 kJ per mole, that is, 40.8 kJ per mole of heat is needed to transform water into vapor at 373 K.  

It is known that latent heat of evaporation of a liquid is directly proportional to the cooling effect it generates, that is, more the latent heat of evaporation more will be its cooling effect. Thus, it is clear that liquid B will show the more cooling effect as the latent heat of evaporation of liquid B is more in comparison to liquid A. Thus, more heat will be captivated by liquid B and will generate more cooling effect in comparison to liquid A.  

What volume of Co2 (carbon (iv) oxide)
will be produced when 10g of Na2Co3
(sodium trioxocarbonate (iv) reacted
with excess Hcl (Hydrogen Chloride) at
STP(Na=23, C=12, O=16)

Answers

Answer:

2.1056L or 2105.6mL

Explanation:

We'll begin by calculating the number of mole in 10g of Na2CO3. This can be obtained as follow:

Molar mass of Na2CO3 = (23x2) + 12 + (16x3) = 106g/mol

Mass of Na2CO3 = 10g

Mole of Na2CO3 =.?

Mole = mass /molar mass

Mole of Na2CO3 = 10/106

Mole of Na2CO3 = 0.094 mole

Next, we shall determine the number of mole CO2 produced by the reaction of 0.094 mole of Na2CO3. This is illustrated below:

Na2CO3 + 2HCl —> 2NaCl + H2O + CO2

From the balanced equation above,

1 mole of Na2CO3 reacted to produce 1 mole of CO2.

Therefore, 0.094 mole of Na2CO3 will also react to 0.094 mole of CO2.

Next, we shall determine the volume occupied by 0.094 mole of CO2 at STP. This is illustrated below:

1 mole of a gas occupy 22.4L at STP. This implies that 1 mole CO2 occupies 22.4L at STP.

Now, if 1 mole of CO2 occupy 22.4L at STP, then, 0.094 mole of CO2 will occupy = 0.094 x 22.4 = 2.1056L

Therefore, the volume of CO2 produced is 2.1056L or 2105.6mL

what is the main idea of the article, "Great Wall of China"?

Answers

well, without the article, I'm guessing the main idea is about the Great Wall of China

Consider the following statements and describe them as a solid, liquid or gas. Keep in mind that there may be more than one correct answer. For example, if it asks for a phase who particles are close together, both solid and liquid would be correct. 1. Particles are very far apart. 2. Particles are moving quickly. 3. Particles can flow past each other. 4. Particles are very close together.

Answers

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Explanation:

1. Particles are very far apart. (Gas)

2. Particles are moving quickly. (Liquid, Gas)

3. Particles can flow past each other. (Liquid)

4. Particles are very close together. (Solid)

Gas particles are very far apart from each other and move quickly. Liquid particles can flow past each other and can move quickly. Solid particles are tightly packed together.

Answer:

1) Gases (Gases are very very far apart)

2) Liquids, Gases (Liquids and Gases move freely because of weak interactive forces)

3) Liquid (Liquid has high fluidity and thus, has the ability to flow past each other)

4) Solid (Solid have particles very close to each other because of stronger attractive forces)

CALCULATE THE VOLUME OF 16 g OF OXYGEN GAS AT S.T.P?

Answers

Answer:

To calculate the volume we must first find the number of moles

Number of moles (n ) = mass / Molar mass (M)

Since oxygen is diatomic

M of oxygen = 16 × 2 = 32g/mol

n = 16 / 32 = 0.5mol

Next we use the formula

V = n × V(dm³)

where V is the volume

V(dm³) is the volume of 1 mole of a substance at s.t.p which is

22.4dm³

Volume of oxygen gas at s.t.p is

0.5 × 22.4dm³

= 11.20dm³

Hope this helps you

What would be the mass of Iron(II) chloride obtained when 450g of Sodium Chloride is added to Iron(II) oxide?

Answers

Answer:

FeO(s)+2NaCL(aq)>FeCL2(aq)+Na2O(s)

2 moles of sodium chloride react with 1 mole of iron (II) oxide to give 1 mole of iron (II) chlorine

mole ratio NaCl :FeCl=2:1

mass of FeCl=0.5×450=225g

Explanation:

(

in the Leclanch dry cell ,which is electrolyte substance ? ​

Answers

Answer:

hey there,

ammonium chloride is the electrolyte substance in the Leclanche dry cell!

Explanation:

HELP PLEASEE 100 POINTS
The Quiver tree grows in Southern Africa. Which of the following plant adaptations is likely to prevent these trees from dying out due to rising desert temperatures?
O Releasing a black powder onto their trunk to absorb more heat from sunlight
O Shifting their growing range towards the equator
Ability to store water in leafy structures to prevent excess evaporation
O Limiting seed dispersal to nearby locations
PLEASE HELP 100 POINTS !!

Answers

Answer:

Shifting their growing range towards the equator

Explanation:

Maybe will be like that

Answer:

Ability to store water in leafy structures to prevent excess evaporation.

Explanation:

The reason why plants die in hot temperature is the excess evaporation of water, so to prevent the excess evaporation of water, the plants get adaptive to store water in their leaves.

Hope it helps.

You are on an island and need freshwater to drink. Which process could you
use to separate the salt from ocean water and provide freshwater for
drinking?
O A. Distillation
B. Chromatography
C. Filtering
O D. Freezing

Answers

Answer:

A

Explanation:

The reason it is distillation is due to the fact that we can use distillation to heat the ocean water. As water has a lower boiling point than the salt solution, it evaporates and the salt stays behind.

A group of students conducts an experiment to test the amount of sugar that can be dissolved in water at 50°F, 100°F, and 200°F.

Which suggestion will help increase confidence in the result?

A. Michael suggests timing each addition of sugar
B. Ali suggests using her hand to verify the temperature of the water
C. Joel suggests testing salt along with sugar to see if they dissolve at different speeds
D. Zander suggests that each student complete an experiment individually and compare results​

Answers

Answer:

A. Michael suggests timing each addition of sugar

Explanation:

The experiment is about amount of sugar dissolved at different temperatures. The suggestion of Michael is best suited to record the timing of each addition of sugar. This will enable to record the timing of sugar added in the water and amount of sugar dissolved at the specified temperature.

an element x atomic number 16 reacts with an element Y atomic number 20 to form a compound
i) position of the elements in the modern periodic table
ii) what type of bond will be formed between them ? give reason
iii) write the chemical formula of the compound ​

Answers

Answer:

Element x has an atomic number of 16, it is sulphur.

Element Y has an atomic number of 20, it is calcium.

i) Sulphur is in Group VI, period 3 in the modern periodic table,

whereas calcium is in Group II, period 4 of the modern periodic table.

ii) Ionic bonds will form between them. This is because metals and non-metals (Cacium and sulphur) usually form ionic compounds where between the ions are held by ionic bonds (which are transferred electrons so that both elements can attain a stable status).

iii) CaS

each Calcium atom can lose 2 electrons to attain 8 outermost shell electrons, while each sulphur atom can gain the 2 electrons to attain 8 outermost shell electrons, where they will most be stable (octet). Hence, the atomic ratio of Ca and S is 1:1.

i) The element with atomic number 16 is sulfur present in group 16 and period 3rd and the element with atomic number 20 is calcium present in group 2 and period 4th.

ii) The ionic bond formed between them.

ii) The chemical formula of the compound will be CaS.

What are ionic compounds?

Ionic compounds can be described as crystalline solids formed by closely packed ions of opposite charge. An Ionic compound is generally formed when metal reacts with non-metal.

In ionic compounds, the ions are commonly held together by ionic bonds. The ions are formed by gaining or losing electrons in order to achieve their nearest noble gas configuration.

In a reaction, the metals usually lose electrons to complete their octet while non-metals will gain electrons to complete their octet.

The given element calcium is a metal with a valency of +2 and sulfur is a non metal with a valency of -2. Therefore, they form an ionic compound with the chemical formula CaS.

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C AL= -4.184 × 39.85 × 4.7 ÷ 11.98 × (-72.9)

Answers

Answer:

4,768.57

Explanation:

If you are asking us to calculate, your answer is above. Easiest and fastest way is to plug it into the calc.

4,768.57 is what I think the answer is

The atomic size of sodium is smaller than that of the sodium why?

Answers

Ummm I studied this but

What is cationic and anionic polymers?

Answers

Answer:

Explanation:

Anionic polymerization and cationic polymerization are two types of chain growth polymerization reactions which are used to synthesize various types of polymers. Both these reactions have the same reaction mechanism, but the reaction initiator is different. Anionic polymerization reactions are initiated by an active anionic species, whereas the cationic polymerization reactions are initiated by an active cationic species.

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how many atoms altogether make up one molecule of glucose ​

Answers

Answer:

24 atoms makes altogether a molecule of glucose

Explain the three states of matter on the basis of characteristics of particles/ molecules of matter.​

Answers

Answer :

Explanation For The Three States OF Matter On the Basis OF Characteristics Of Particles / Molecules OF Matter.

Solid:

In solids the molecules are closely packed . There is a strong force of attraction between the molecules and the space between them is very small (almost negligible). The molecules are , therefore, not free to move . They merely vibrate their mean positions . This makes solids hard and difficult to compress , giving them a fixed shape and size.

Liquid :

In the case of liquids , the molecules are not closely packed. They do not attract each other as strongly as the molecules of solids. Thus, the intermolecular spaces are larger and the molecules are able to move about more freely . This makes liquid flow and take the shape of the container into which it is poured. Thus, liquids have a fixed volume but no definite shape of their own .

Gas :

In the case of gases, the molecules hardly attract each other. They lie far a part from each other and the intermolecular spaces are, therefore, very large. . The intermolecular force of attraction is so weak that the molecules have great freedom of movement . As a result , gases have neither a fixed shapenor a fixed volume . They completely full up spacw available to them. They can be easily compressed as well, thus decreasing the gaps between their molecules .

Explanation :

Hope it works out !

. The four metals, Strontium(Sr), Francium (Fr), Yttrium (Y), and Europium (Eu), in separate experiments, are dipped in aqueous solutions of SrNO3, FrNO3, Y(NO3)3, and Eu(NO3)2. The following results are obtained: 1. Yttrium metal does not react with any of the solutions 2. Strontium metal reacts with all of the other metals solutions 3. Francium metal reacts in a solution of Eu(NO3)2 a) List the four oxidizing agents in order from strongest to weakest by creating a small reduction table. Explain your reasoning below b) List the four reducing agents in order from strongest to weakest

Answers

Answer:

a) Y³⁺ > Eu²⁺ > Fr⁺ > Sr²⁺

b) Sr > Fr > Eu > Y

Explanation:

Y is the least reactive metal because it does not react with any of the other solutions.

Sr is the most reactive metal because it reacts with all of the other solutions.  

Sr + 2Fr⁺ ⟶Sr²⁺ + 2Fr

3Sr + 2Y³⁺ ⟶ 2Sr²⁺ + 2Y

Sr + Eu²⁺ ⟶ Sr²⁺ + Eu

Fr is more reactive than Eu because it reacts with Eu(NO₃)₂.

2Fr + Eu²⁺ ⟶ 2Fr⁺ + Eu

The order of reactivity is

Sr > Fr > Eu > Y

b) Reducing agents

In each of the above reactions. the more reactive metal is acting as a reducing agent — it is donating electrons to the cation of the other metal.

Thus, the order of activity of reducing agents is

Sr > Fr > Eu > Y

a) Oxidizing agents

The metal cations are the oxidizing agents.

The order of reactivity of the oxidizing agents is the reverse order of the reducing agents

Y³⁺ > Eu²⁺ > Fr⁺ > Sr²⁺

c) Standard reduction potential table

See the image below.

 

How many grams of AuCl2, if the compound has 6.3 x10^23 atoms of Cl?

Answers

Answer:

Total mass =  93.21 gram (Approx)

Step-by-step explanation:

Given:

Atoms of Cl = 6.3 × 10²³

Find:

Amount of AuCl₂

Computation:

Molecules of AuCl₂ = 6.3 × 10²³ / 2 = 3.15 × 10²³

1 mol of AuCl₂ = 6.022 × 10²³ molecules

Number of mol = 3.15 × 10²³ /  6.022 × 10²³

Number of mol  = 0.523 mol

So,

Molar mass of AuCl₂ = 267.87 g/mol

Total mass = 0.348 mol × 267.87 g/mol

Total mass =  93.21 gram (Approx)

Other Questions
PLS HELP, URGENT!! What is the following simplified product? Assume x >/= 0. ( sqrt 6x^2 +4 sqrt 8x^3) (sqrt 9x -x sqrt 5x^5) 13Select the correct answer.A farmer changed certain timings of his farming operations to control pest infestation in his field. Which pest control method did he use?OAgenetic pest controlB. biological pest controlC. cultural pest controlODchemical pest control mechanical pest controlResetNext Which of the following statements is an example of absolute location? A. The Empire State Building is located at N 404454, W 73598. B. Missouri is located east of Kansas. C. Washington, DC, is 38 degrees north of Quito, Ecuador. D. Johnson Memorial Hospital is about 20 blocks from New Yorks Central Park. E. Pennsylvania is south of New York, west of New Jersey, and east of Ohio. ________________ focuses on traits that people consider when they characterize a person as a leader. In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16. 0.05 x + 0.25 y = 2.95. x + y = 2.95. 0.10 x + 0.25 y = 16. x + y = 16. 0.01 x + 0.25 y = 2.95. There are two boxes containing only black and orange pens. Box A has 4 black pens and 16 orange pens. Box B has 2 black pens and 3 orange pens. A pen is randomly chosen from each box. List these events from least likely to most likely. Event 1: choosing a black pen from Box A. Event 2: choosing a black or orange pen from Box A. Event 3: choosing a white pen from Box B. Event 4: choosing a black pen from Box B. Cape Beale Lighthouse, BC, ison a cliff that is 51 m above sealevel. The lighthouse is thereto warn boats of the danger ofshallow waters and thepossibility of rocks close to theshore. The safe distance forboats from this cliff is 75 m. Ifthe lighthouse keeper is 10 mabove ground and observes aboat at an angle of depressionof 50, is the boat a safedistance from the cliff? Justifyyour conclusion. A fruit company delivers its fruit in two types of boxes: large and small. A delivery of eight large boxes and four small boxes has a total weight of two hundred and one kilograms. A delivery of three large boxes and two small boxes has a total weight of eighty two kilograms. How much does each type of box weigh? Please answer this correctly Find the equation of the line Which word in the choices belowcompletes the analogy?Together : Intact :: Articulate :A. ResilientB. ImpetuousC. EloquentD. Unintelligible A piston-cylinder device contains 0.1 kg of hydrogen gas (PG model: cv=10.18, k = 1.4, R= 4.12 kJ/kg-K) at 1000 kPa and 300 K. The gas undergoes an expansion process and the final conditions are 500 kPa, 270 K. If 10 kJ of heat is transferred into the gas from the surroundings at 300 K, determine (a) the boundary work (Wb), and (b) the entropy generated (Sgen) during the process pretty please help please What is the angle of rotation of the figure? A. 0 B. 90 C. 120 D. 180 write down the value of 5 in 19.54 How deep in the ocean must a current be to be classified a deep current?A. 250 mB. 100 mC. 400 mD. 1000 m Which is not a way that ATP is used for mechanical work?Movement at the cellular level.Muscle contractionsMovement of the flagellumJoining monomers to form a polymer Based on the author's description, which word BEST describes the writer that Jamal meets? A) careless B) generous C) demanding D) disappointing Select the correct answer from each drop-down menu. Alma is walking in a park. Suddenly, a wild dog charges toward her. Alma is frightened. The starts to respond by increasing her heart rate and dilating her pupils. After running for a few minutes, Alma realizes that the dog has fallen far behind. At this point, her starts working to relax her body by slowing down her heart rate and constricting her pupils. Find two positive numbers whose product is 16 and whose sum is a minimum. (If both values are the same number, enter it into both blanks.) (smaller number) (larger number) As an economist working at the International Monetary Fund, you are given the following data for Burundi: observed per capita GDP, relative to the United States, is 0.01; predicted per capita GDP, given by , is 0.18. What is total factor productivity