what is the structure of alcohol?

Answers

Answer 1
ANSWER/:

Alcohol has a molecular formula of ethanol is C2H60. Ethanol contains two carbons and a oxygen.

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Related Questions

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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The velocity is ___ when the distance is kept the same and the time is halved

Answers

Answer:

Velocity = distance / time

if distance is same and time is 1/2

Velocity = distance / time/2

velocity = 2 (distance /time)

Velocity,= 2 * velocity

Velocity will be doubled

HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERS
Given the following data for water:

Heat of fusion = 334 J/g
Heat of vaporization = 2,256 J/g
Specific heat of solid = 2.09 J/(g °C)
Specific heat of liquid = 4.184 J/(g °C)
Specific heat of gas = 1.84 J/(g °C)

Calculate how much energy is needed to change 50.0 grams of ice at −15.0 °C to liquid water at 50.0 °C. (3 points)

a
11,900 J

b
16,300 J

c
18,300 J

d
21,100 J

Answers

Answer:

18300 J

Explanation:

this is because the amount of energy can be changed


What are oil traps?

Answers

Answer:

A device in which oil can be trapped, or which makes use of oil to trap something else I think

Help pls need it!:))

Answers

Answer:

[tex]\textsf {A}[/tex]

Explanation:

[tex]\textsf {The effect of a catalyst on the energy of a reaction system }\\\textbf {is that it reduces the activation energy.}[/tex]

Answer:

it reduces the activation energy (option A)

Explanation:

we know that a catalyst reduces the activation energy because it speeds up a reaction (that is what a catalyst is--a substance that speeds up a reaction [whilst leaving it unchanged chemically]. )

So, if a catalyst is speeding up the time it takes for a reaction to occur, it is logically lowering the minimum energy that is needed for the reaction to occur.

This can best be expressed in option A, because it lowers the activation energy

elemental phosphorus occurs as tetratomic molecules, p4. What mass in grams of chlorine gas is need to react completely with 455g of phosphorus to form phosphorus pentachloride?

Answers

P₄ + 10Cl₂ → 4PCl₅

mol P₄ = 455 : 123.895 g/mol = 3.672

mol Cl₂ = 10  x 3.672 = 36.72

mass Cl₂ = 36.72 x 71 g/mol = 2607.12 g

4HCl(g)+O2(g)⟶2Cl2(g)+2H2O(g) Calculate the number of grams of Cl2 formed when 0.385 mol HCl reacts with an excess of O2. mass: g

Answers

The number of grams of Cl2 formed when 0.385 mol HCl reacts with an excess of O2 is 13.6675 g.

What are moles?

A mole is defined as 6.02214076 × [tex]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.

Given data:

Moles of hydrochloric acid = 0.385 mol

Mass of chlorine gas =?

Chemical equation:

4HCl +  O₂ → 2Cl₂  + 2H₂O

Now we will compare the moles of Cl₂ with HCl.

                 HCl           :               Cl₂

                   4             :               2

                0.385       :              2÷4× 0.385 = 0.1925 mol

Oxygen is present in excess that's why the mass of chlorine produced depends upon the available amount of HCl.

Mass of Cl₂ :

Mass of Cl₂ = moles × molar mass

Mass of Cl₂ =0.1925 mol × 71 g/mol

Mass of Cl₂ =  13.6675 g

Hence, the number of grams of Cl2 formed when 0.385 mol HCl reacts with an excess of O2 is 13.6675 g.

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How many moles are in a gas with a temperature of 21°C, pressure of 1,351 mmHg and a volume of 2,000 mL

Answers

Answer:

.147 moles

Explanation:

PV = n RT        choose the correct "R"   to be 62.364  L torr /(K-mol)

   T  needs to be in K  (so add 273.15)

1351 torr  * 2 L  = n  * 62.364 * (21 + 273.15 )

solve for n = .147 moles

M1 = 3M M2 = 1.25M V1 = V1=.125L unkown What is V2?

Answers

0.3 L is the final volume when M₁ = 3 M, V₁ = 0.125L, M₂ = 1.25M.

What is volume?

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Given data:

M₁ = 3 M

V₁ = 0.125L

M₂ = 1.25M

V₂ = ?

Solution:

M₁V₁ = M₂V₂

3 M × 0.125L = 1.25M × V₂

V₂ = 0.3 L

Hence, 0.3 L is the final volume.

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What is one advantage of wind and hydroelectric power?
A. They are effective in any type of environment.
B. Neither harms wildlife.
C. Neither produces pollutants.
D. Both are inexpensive.

Answers

What is one advantage of wind and hydroelectric power?

A. They are effective in any type of environment.

B. Neither harms wildlife.

C. Neither produces pollutants.

D. Both are inexpensive.

Explanation:

one of the qnswer is flood control, irrigation support, and clean drinking water

Which of the following industries is leaching used in?
To separate a metal from its ore using acid and preserving desirable products such as gold.
To separate a mixture of ethanol and water
To separate a slurry containing chalk and water
None of the above.

Answers

Answer:

To separate a metal from its ore using acid and preserving desirable products such as gold.

Explanation:

please make brainiest

Write and balance the equation for the combustion of the fatty acid lauric acid, (C12H24O2).

Answers

C12H24O2 +17 O2-------->12CO2 + 12H2O

Combustion:-

combustion is a chemical reaction that often involves the presence of oxygen and produces heat and light in the form of flames.

Lauric acid:-

Lauric acid has a 12-carbon backbone and is a saturated medium-chain fatty acid. In addition to being a key component of coconut oil and palm kernel oil, lauric acid occurs naturally in a variety of plant and animal fats and oils.

White solid lauric acid has a little bay oil odour to it.

Lauric acid is a cheap, non-toxic, and easy-to-handle substance that is frequently employed in lab studies on melting-point depression. Because lauric acid is a solid at ambient temperature but a liquid at boiling temperatures, it can be used to test different solutes to determine their molecular weights.

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In a recent study, 50 males used a new weight-loss supplement, and 37 of them experienced weight loss after two weeks: In the same study, 20 females used
the same supplement, and 13 of them experienced weight loss after two weeks.
Fill in the blanks below to make the most reasonable statement possible.
The new weight-loss supplement was less effective on (Choose one) in the study. That is because only % of them lost
weight after two weeks, whereas % of the (Choose one) lost weight after two weeks.

Answers

Answer:

The new weight-loss supplement was less effective on females in the study. That is because only 65% of them lost weight after two weeks, whereas 74% of the males lost weight after two weeks.

Explanation:

37 out of 50 males lost weight after two weeks, so 74% of males lost weight ( (37 · 2)/(50 · 2) ). 13 out of 20 females lost weight after two weeks, so 65% of females lost weight ( (13 · 5)/(20 · 5) ). This means the supplement was less effective on females because males had a higher percentage of losing weight.

Hope this helps !! :D

At ground level, how are rain and hail similar?

They are forms of water in its liquid state.
They occur when the temperature is below freezing.
They can occur when the air is hot and moist.
They are most common in the winter.

Answers

They are forms of water in its liquid state at ground level. Thus, the correct option is A.

What is hailstrom?

Precipitation, or water in the atmosphere, forms hail. When water drops freeze together in the chilly higher parts of thunderstorm clouds, hail is the result.

When a water droplet is lifted by an updraft from a thunderstorm over the freezing point of the atmosphere, hail is created. The super-cooled water or water vapor that the frozen water droplet accretes later freezes when it comes into touch with it. A hailstone grows as a result of this process.

When water vapor from the atmosphere condenses into liquid water droplets, they become heavy enough to fall as a result of gravity.

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Answer:A

Explanation:

.

Convert -145 °F to kelvins. Round to the nearest whole number.

Answers

Answer:

175K

Explanation:

(-145°F − 32) × 5/9 + 273.15 = 174.817K

174.817 ---> 175 (Rounded to whole number/ ones place)

What is the mole fraction of NaBr in
an aqueous solution that contains
20.1% NaBr (weight/weight %)?
Molar Mass
NaBr: 102.89 g/mol
H₂O: 18.016 g/mol
Enter text here

Answers

Answer:

4.22% NaBr

Explanation:

To find the mole fraction of NaBr, you need to (1) determine the mass of the solute (NaBr) and the solvent (H₂O), then (2) convert the mass of the solute and solvent to moles (via the molar masses), and then (3) calculate the mole fraction of NaBr. The final answer should have 3 sig figs to match the sig figs of the given value (20.1%). Because you are given a percent less than 100%, you can assume that the percent (20.1%) is equal to the mass of the solute (20.1 g).

(Step 1)

100% - 20.1 % NaBr = 79.9% H₂O

20.1% NaBr = 20.1 g NaBr

79.9% H₂O = 79.9 g H₂O

(Step 2)

Molar Mass (NaBr): 102.89 g/mol

20.1 g NaBr              1 mole
-------------------  x  ---------------------  =  0.195 mole NaBr
                                102.89 g

Molar Mass (H₂O): 18.016 g/mol

79.9 g H₂O            1 mole
------------------  x  -------------------  =  4.43 moles H₂O
                              18.016 g

(Step 3)

                                          moles of solute      
Mole Fraction =  ----------------------------------------------------   x 100%
                            moles of solute + moles of solvent
                             

                                            0.195 mole NaBr
Mole Fraction =  --------------------------------------------------------  x 100%
                            (0.195 mole NaBr) + (4.43 moles H₂O)

Mole Fraction  =  4.22% NaBr

Answer:

0.0422

Explanation:

Right on Acellus

Three students are given a 200g object to weigh on a balance and record the following masses: 150g, 151g 150g. What can be said about the accuracy and precision of the balance?

Answers

The balance is precise but not accurate

Franklin Roosevelt promised the American people a "new deal," a pledge he made actually before he was elected, at the Democratic National Convention in 1932.

Answers

The New Deal program was to help the American economy recover from the Great Depression.

Who was Franklin Roosevelt?

Franklin Delano Roosevelt was an American politician and attorney who served as the 32nd president of the United States from 1933 until his death in 1945.

Roosevelt promised the American people a "New Deal" if he was elected president in 1932. The goal of this New Deal program was to help the American economy to recover from the Great Depression.

Roosevelt's deal was based on providing economic relief to citizens, reforming institutions that failed during the early 1930's, and helping the overall economy to recover. This popular program lead FDR to be elected president 4 times.

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Question 5 of 10
Platinum has a density of 21 g/cm³. A platinum ring is placed in a graduated
cylinder that contains water. The water level rises from 4.0 mL to 4.2 mL
when the ring is added. What is the mass of the ring?
A. 2.6 g
OB. 3.8 g
OC. 4.2 g
OD. 5.2 g
B

Answers

Answer:

4.2  g  

Explanation:

The VOLUME of the ring is   4.2 - 4.0 = .2 ml  = .2 cm^3

the MASS of the ring is this times the density

.2 cm^3  *  21 g/cm^3 = 4.2 g

Answer:

the answer is c

Explanation:

density is mass/volume

so mass=density × volume

but we take the change is volume that is v2-v2=4.2-4=0.2ml

but the density is in gm/cm^3 so we should convert ml into cm^3. eventually they are equal so mass=21×0.2=4.2

The equilibrium constant for the reaction 2 C3H6(g) ↔ C2H4(g) + C4H8(g) Is found to fit the expression: lnK = A + B/T + C/T2, between 300 and 600 K, where A = -1.04, B = -1088 K, C = 1.51x105 K2. Calculate the standard reaction enthalpy and standard reaction entropy at 400 K.

Answers

The standard reaction enthalpy and the standard reaction enthalpy at 400 K for this reaction are equal to 0.35 kJ and 0.000125 kJ respectively.

How to calculate Gibbs's free energy?

Mathematically, the Gibbs's free energy for this chemical reaction can be calculated by using this formula:

ΔG° = -RTlnK = ΔH° - TΔS°    ......equation 1.

First of all, we would determine the value of lnK from the given expression at 390 K and 410 K respectively:

lnK = A + B/T + C/T²

lnK = -1.04 - 1088/T + 1.51 × 10⁵/T²    

lnK = -1.04 - 1088/390 + 1.51 × 10⁵/390²

lnK = -1.04 - 2.79 + 0.99

lnK = -2.84.

At T = 410 K, we have:    

lnK' = -1.04 - 1088/410 + 1.51 × 10⁵/410²

lnK' = -1.04 - 2.65 + 0.90

lnK' = -2.79.

For the standard reaction enthalpy, we have:

lnK' - lnK = ΔH°/R(1/T - 1/T')

-2.79 - (-2.84) = ΔH°/8.314(1/390 - 1/410)

-2.79 + 2.84 = ΔH°/8.314(0.00256 - 0.00244)

0.05 = ΔH°/8.314(0.0012)

0.4157 = 0.0012ΔH°

ΔH° = 0.4157/0.0012

ΔH° = 346.42 0.35 kJ.

Next, we would determine the Gibbs's free energy at each temperature:

At T = 390 K, we have:

ΔG° = -RTlnK

Δ₁G° = -8.314 × 390 × (-2.84)

Δ₁G° = 9.21 kJ/mol.

At T = 410 K, we have:

Δ₂G° = -8.314 × 410 × 2.79

Δ₂G° = 9.51 kJ/mol.

For the standard reaction enthalpy at 400 K, we have:

ΔG° = ΔH° - TΔS°

9.51 - 9.21 = 0.35 - 400ΔS°

0.30 = 0.35 - 400ΔS°

400ΔS° = 0.35 - 0.30

400ΔS° = 0.05

ΔS° = 0.05/400

ΔS° = 0.000125 kJ.

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Which sequence represents the relationship between temperature and volume as explained by the kinetic-molecular
theory?
higher temperature → less kinetic energy
higher temperature → more kinetic energy→more space between particles → higher volume
less space between particles → higher volume
higher temperature → more kinetic energy less space between particles → lower volume
higher temperature → less kinetic energy→more space between particles lower volume

Answers

The correct sequence is higher temperature→ more kinetic energy→ more space between particles→ higher volume.

According to the postulates of Kinetic gas theory:

Postulate 1: It states that the average kinetic energy of gas particles is proportional to the absolute temperature of the gas.

Which states that the higher temperature, the higher the kinetic energy of the molecules, which is the start of the sequence of the relationship between temperature and volume.

Postulate 2: Average kinetic energy is proportional to the square of the speed, it shows that at higher the kinetic energy the faster the molecules will move.

Postulate 3: As the particles move faster, the particles will collide more frequently so they will move away from each other, occupying more space.

Postulate 4: More space between the molecules results in more volume.

So, the complete and correct sequence is higher temperature → higher kinetic energy (higher speed) → more space → more volume.

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If you had 6 mol of oxygen and 12 mol of mercury, what would be the limiting reactant? show your work

Answers

The limiting reactant between the reaction of 6 moles of oxygen and 12 moles of mercury is mercury (Hg)

Balanced equation

4Hg + O₂ —> 2Hg₂O

From the balanced equation above,

4 moles of Hg reacted with 1 mole of O₂

How to determine the limiting reactant

From the balanced equation above,

4 moles of Hg reacted with 1 mole of O₂

Therefore,

12 moles of Hg will react with = 12 / 4 = 3 moles of O₂

From the above calculation, we can see that only 3 moles of O₂ out of 6 moles given is required to react completely with 12 moles of Hg.

Thus, Hg is the limiting reactant and O₂ is the excess reactant .

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How many significant figures does 7,874.9640 s have?
Submit Question

Answers

Answer:

8 significant figures

Explanation:

All numbers (that are not zero) are always significant. Because there is a zero at the end of the number after the decimal place, this makes this zero also significant. This zero is significant because it makes the number more precise. Therefore, all of the numbers in this number are significant.

Answer:

There are 8 sig figs

Explanation:

Polyester and Nylon are examples of synthetic materials called polymers.
A. True
B. False

Answers

Answer:

true is correct

Polyester and Nylon are examples of synthetic materials called polymers. This statement is True.

Polymers are large molecules composed of repeating subunits called monomers, which are chemically bonded together. In the case of polyester, it is made from a polymer called polyethylene terephthalate (PET), while Nylon is made from polyamide monomers. These polymers are created through polymerization processes that combine smaller molecules to form long chains.

Synthetic polymers like polyester and nylon are widely used in various applications due to their desirable properties, such as strength, durability, and resistance to chemicals and moisture.

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what is the name of this compound?​

Answers

The compound above is a cyclic (ring) compound.

What are organic compounds?

Organic compounds are compounds which contains carbon and hydrogen.

Some classes of organic compounds include the following:

AlkanesAlkenesAlkynesAkanolsAlkanonesEstersKetonesAmines

So therefore, the compound above is a cyclic (ring) compound.

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Balanced chemical equation: BaCl2(aq)+Na2SO4(aq)⟶BaSO4(s)+2NaCl(aq)

Using 1.46 moles of NaCl, determine how many grams of NaCl can be produced.

Then, using the moles of NaCl found in a previous question, determine how many formula units of NaCl can be produced. formula units:

Answers

Answer:

Part 1)  85.3 grams NaCl

Part 2)  8.79 x 10²³ formula units NaCl

Explanation:

(Part 1)

To find the mass of NaCl, you need to multiply the given value (1.46 moles) by the molar mass of NaCl. This measurement is the atomic masses of the elements times each of their quantities combined. In this case, there is only one mole of each element in the molecule. Moles should be located in the denominator of the conversion to allow for the cancellation of units. The final answer should have 3 sig figs to reflect the given value.

Molar Mass (NaCl): 22.99 g/mol + 35.45 g/mol
Molar Mass (NaCl): 58.44 g/mol

1.46 moles NaCl            58.44 g
---------------------------  x  ----------------  =  85.3 grams NaCl
                                        1 mole

(Part 2)

I do not know which other question the second part is referring to, so I will just use the moles given in the first part. To find the formula units, you need to multiply the given value (1.46 moles NaCl) by Avogadro's Number. This conversion represents the number of formula units found in 1 mole of the sample. The moles should be in the denominator of the conversion to allow for the cancellation of units.

Avogadro's Number:

1 mole = 6.022 x 10²³ formula units

1.46 moles NaCl         6.022 x 10²³ units
------------------------  x  -----------------------------  =  8.79 x 10²³ formula units NaCl
                                          1 mole

Design a controlled experiment to test your hypothesis. A controlled experiment is one that only tests one variable. All other variables must remain the same. Make a drawing below that shows how you will set up your experiment. Then, write a description of the one factor that will vary and the two factors that will remain the same.

Answers

The problem is not found here but a possible experiment might be to measure the amount of product from a chemical reaction.

What is an experiment?

An experiment is a procedure used to verify a working hypothesis obtained by applying the scientific method.

Experimental variables that can be tested include, for example, temperature, amount of product from a chemical reaction, etc.

In conclusion, the problem is not found here but a possible experiment might be to measure the amount of product from a chemical reaction.

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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

Sunspot populations quickly rise and more slowly fall on an irregular cycle about every 11 years. Significant variations of the 11-year period are known over longer spans of time. For example, from 1900 to the 1960s the solar maxima (the period of greatest activity in the solar cycle of the sun) trend of sunspot count has been upward; from the 1960s to the present, it has diminished somewhat. The Sun is presently at a markedly heightened level of sunspot activity and was last similarly active over 8,000 years ago.
The number of sunspots correlates with the intensity of solar radiation over the period (since 1979) when satellite measurements of absolute radiative flux were available. Since sunspots are darker than the surrounding photosphere it might be expected that more sunspots would lead to less solar radiation and a decreased solar constant. However, the surrounding margins of sunspots are hotter than the average, and so are brighter; overall, more sunspots increase the sun's solar constant or brightness. During the Maunder Minimum in the 17th Century there were hardly any sunspots at all. The Maunder Minimum is the name given to the period roughly from 1645 to 1715, when sunspots became exceedingly rare, as noted by solar observers of the time. It is named after the solar astronomer Edward W. Maunder (1851-1928) who discovered the dearth of sunspots during that period by studying records from those years. During one 30-year period within the Maunder Minimum, for example, astronomers observed only about 50 sunspots, as opposed to a more typical 40,000-50,000 spots. This coincides with a period of cooling known as the Little Ice Age.
1) Which of the following is a true statement?:
A. There were more sunspots in 1965 than in 1701
B. The Little Ice Age had nothing to do with sunspots
C. The Sun is presently at a low level of sunspot activity
D. No one is counting sunspot activity any more

Answers

The Sun is presently at a low level of sunspot activity. Hence, option C is correct.

What is solar radiation?

Solar radiation is often called the solar resource for the electromagnetic radiation emitted by the sun.

The Sun is presently at a low level of sunspot activity is the correct answer.

Hence, option C is correct.

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Which of the following is a simple design model that uses the concepts define, optimize, and develop solutions iteratively and in any order?

A. Infused Design
B. FORFLOW
C. Munich Procedural Model
D. Next Generation Design Model

Answers

The Munich Procedural Model is a simple design model that uses the concepts define, optimize, and develop solutions iteratively and in any order. C

What is the Munich procedural design?

The Munich procedural model is a design that illustrates several opportunities regarding the order in which design process and stages beyond mere iteration should take.

A procedural model commonly used for development is the V-model.

Hence, the Munich Procedural Model is a simple design model that uses the concepts define, optimize, and develop solutions iteratively and in any order.

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A researcher conducts an between-subjects study examining theeffectiveness of a memory enhancement program at an assisted livingfacility for elderly adults. One group of residents is selected toparticipate in the program, and a second group of participants serves asa control group. After 6 weeks, the researcher reports a combined scoremeasuring memory for each individual. The data are:ControlExercisen = 10M = 12SS = 120.5n=15M= 15.5SS = 190.0a) Does the exercise program have a significant effect? Use a twotailed test with an alpha level of .05b) Compute Cohen's d to measure the size of the treatment effect Market owner Lucy buys 12 cans of baby formula off of Mark--Lucy plans to sell them in her market even though she knows (or should have known) Mark got the cans of formula by illegal means. Lucy has committed the crime of: What are Bolsa's intentions?Oto scare Billy Jo for informationO to get Abraham back once and for allO to show off Sancho's great dress Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form A client with long-standing rheumatoid arthritis has frequent reports of joint pain. The plan of care should be based on the understanding that chronic pain is most effectively relieved when analgesics are administered in which way If 6x = 54, then x = ___. (Only input whole number) jan likes dan. dan shows signs of flirxting with jan, but also sort of flirxts with mary. dan talks to jan more, though. who does dan like, or is there something differenta? An avalanche comes down the East side of the mountain. If the avalanche lasted for 97 seconds and travels 4.5 miles, what was the velocity of the avalanche? Firms that adopt e-marketing strategies must consider making changes to their marketing mix variables. Which aspect of the marketing mix would relate to the ability to process orders electronically, reduce inefficiencies, costs, and redundancies while simultaneously increasing speed throughout the marketing channel? Genesis throws a ball up in the air. The graph below shows the height of the ball hh in meters after tt seconds. Find the interval for which the balls height is decreasing.help please How does Poe describe the time and place in which the story occurs? in The Cask of Amontillado What is a design that can be produced to requirements even with unfavorable conditions in the production process?. For which value of x is the expression y=a. 1b. -1C. 5d. -53x-3x-5- undefined? What are the domain and range of the function f of x equals the quantity of x squared minus 3 x minus 28, all over x plus 4? What is sin and cos The two right-angled triangles below aresimilar, which means that they have thesame angles.a) Write down the value of sin as afraction in its simplest form.b) Work out the length x.8 cm3 cm16 cmXNot drawn accurately When Evil Kenevil was a kid, he decided to attempt to jump a distance of 30 yards using ramps that extended 9 yards high for take off and landing with his motorcycle. As the figure below illustrates, at zero yards from the take off ramp, he was 9 yards high. At 8 yards from the ramp, he was 17 yards high, and at 18 yards from the ramp, he was 18 yards high. Since there are no rockets or wings affecting Evils flight, he should closely follow a parabolic path that can be modeled by a quadratic equation: y=ax^2+bx+c, where y is the height of Evils bike, and x is the horizontal distance he has traveled. 1.) Using the three data points (x, y) that we know Evil passed through and the general quadratic equation, create three corresponding equations: Equation 1: (5 pts.) Equation 2: (5 pts.) Equation 3: (5 pts.)2.) Solve your system of equations from above for a, b, and c. a = (10 pts.) b = (10 pts.) c = (10 pts.)3.) Using your values of a, b, and c, what is the quadratic equation that models Evils jump? Quadratic Equation: (10 pts.)4.) What is the maximum height for Evil during this jump? (15 pts.)5.) What is Evils height when he gets to the landing ramp? Is this a successful stunt? (15 pts.)6.) Evil was at a height of 17 yards when he was 8 yards out. Where else was he at a height of 17 yards? Find the end time in the event and enter them into table Smith rides his cycle at the speed of 10 mile per hour. How many miles smith travels in 4 hours ? Calculate the first and second differences for y = x 2 + 7x + 6