How many pounds in 16.1lbmol of pure HCl

Answers

Answer 1

Answer:

586.846 lbs

Explanation:

the molar mass of HCl is 1 + 35.45 = 36.45

this means you can do 16.1 lbmol * 36.45 lb/lbmol = 586.845


Related Questions

In a 250 mL sealed container at 150℃, 0.50 mol of both iodine gas I2(g) and bromine gas, Br2(g) are mixed and allowed to react until they form an equilibrium with iodine monobromide gas IBr(g). The equilibrium constant for this reaction is 1.2 x 102. What are the equilibrium concentrations for iodine gas and bromine gas? I2(g) + Br2(g) ↔ 2IBr(g)

Answers

answer and explanation

now that we have the x value we can find the equilbrium concentratoins of tehegases

for Iodine

x =0.456

= 0.5-x

= 0.5-0.456

= 0.035mols

concentration = 0.035mols/ 0.250L

= 0.14M

for Bromine

x =0.456

= 0.5-x

= 0.5-0.456

= 0.035mols

concentration = 0.035mols/ 0.250L

= 0.14M

the concentration of the two gases is 0.14M

A scientist uses a graduated cylinder to measure 100.0 mL of gasoline for an experiment. The density of gasoline is 0.774 g/mL. What is the mass of this gasoline sample?

Answers

Answer:

100ml x 0.774

divide by 4

x by 8

What is the limiting reactant if 43.4 g of NH3 react with 30 g of NO? The balanced equation is 4NH3 + 6NO --> 5N2 + 6H2O

Answers

Answer

NO is the limiting reactant

Explanation

Given that:

The mass of NH3 that reacted = 43.4 g

The mass of NO that reacted = 30 g

The equation for the reaction is: 4NH3 + 6NO --> 5N2 + 6H2O

What to find:

The limiting reactant.

Step-by-step solution:

The first step is to convert the given mass of the reactants to moles.

Using the mole formula and the molar masses of (NH3 = 17.0 g/mol and NO = 30.0 g/mol)

[tex]\begin{gathered} Moles=\frac{Mass}{Molar\text{ }mass} \\ \\ Moles\text{ }of\text{ }NH_3=\frac{43.4g}{17.031g\text{/}mol}=2.55\text{ }mol \\ \\ Moles\text{ }of\text{ }NO=\frac{30g}{30.0g\text{/}mol}=1.0\text{ }mol \end{gathered}[/tex]

The final step is to determine the limiting reactant by comparing the mole ratio from the given equation with the mole ratio in the step above.

From the equation, 4 moles of NH3 reacted with 6 moles of NO

So 2.55 moles of NH3 is expected to react with (2.55 x 6)/4 = 3.825 moles of NO

1.0 mol NO is less than 3.825 mol NO, hence, NO is the limiting reactant because it will be the reactant to be completely used up first.

How many atoms are in this compound: Li₂SO₂?

Answers

Counting Atoms

To count atoms, we can find the total sum of the subscripts in a chemical compound.

This is the case for most compounds. In some cases, we will have to multiply subscripts when there are elements inside brackets.

Solving the Question

We're given:

Li₂SO₂

In front of lithium (Li), there is a 2.

In front of sulfur (S), there is nothing, which means 1.

In front of oxygen (O), there is a 2.

Add:

2 + 1 + 2 = 5

Therefore, there are 5 atoms in Li₂SO₂.

Answer

5 atoms

During a titration, an endpoint was reached after adding 20 mL of sodium hydroxide solution, NaOH(aq), to 20 mL of sulfuric acid, H2SO4. The sodium hydroxide solution had a concentration of 1.50 mol/L. What was the initial concentration of the sulfuric acid? Select one: a. 1.50 mol/L b. 2.25 mol/L c. 3 mol/L d. 0.75 mol/L

Answers

Write the balanced chemical equation for the reaction as follows:

[tex]2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O[/tex]

Given:

Concentration of sodium hydroxide =1.50 mol/L

Volume of sodium hydroxide = 20 mL

Concentration of sulfuric acid = x

Volume of sulfuric acid = 20 mL

Firstly, we will determine the moles that is in 20 mL of 1.5 M NaOH:

[tex]\begin{gathered} 1.5\text{ }mole=1000mL \\ x\text{ }mol=20mL \\ \\ x=\frac{1.5mol\times20mL}{1000mL} \\ \\ x=0.03mol\text{ }NaOH \end{gathered}[/tex]

Based on the balanced chemical equation and the moles of NaOH we can use stoichiometry (ratios) to determine the moles of 20 mL sulfuric acid:

[tex]0.03mol\text{ }NaOH\times\frac{1mol\text{ }H_2SO_4}{2mol\text{ }NaOH}=0.015\text{ }mol[/tex]

Now that we know how many moles are in 20 mL of H2SO4, we can determine the moles in 1000mL (initial concentration):

[tex]\begin{gathered} 0.015\text{ }mol=20\text{ }mL \\ x\text{ }mol=1000\text{ }mL \\ x=\frac{0.015mol\times1000mL}{20mL} \\ \\ x=0.75mol•L^{-1} \end{gathered}[/tex]

Answer: D) 0.75 mol/L,

A popular car has an engine that is reported to have a volume of 5840 . What is the size in cubic inches?

Answers

By using an appropriate conversion factor, the size of this popular car's engine is equal to 356.78 cubic inches.

What is a conversion factor?

A conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 cubic centimeter = 0.061023744094732 cubic inches.

5,840 cubic centimeter = X cubic inches.

Cross-multiplying, we have:

X = 0.061023744094732 × 5,840

X = 356.78 cubic inches.

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Complete Question:

A popular car has an engine that is reported to have a volume of 5840 cm³. What is the size in cubic inches?

I need help! Thank u so so much in advance

Answers

Electron capture occurs when one of the electrons in the atom is captured by the atom's nucleus. The captured electron combines with one proton to form a neutron.

We have to find the nuclide that is produced when the aluminum-28 undergoes an electron capture.

If we look for the atomic number of Al in the periodic table we will see that it is 13. That means that it has 13 protons. Then we are given the atomic mass of aluminum, it is 28. That means that if we add the number of protons and the number of neutrons we get 28.

atomic mass = n° of protons + n° of neutrons = 13 + 15 = 28

atomic number = n° of protons = 13

The nucleus of the aluminum atom will capture one electron that will combine with a proton of the nucleus to form a neutron. So the atomic number will change because it will have 1 proton less. But the atomic mass won't change because we are losing one proton but winning a neutron, so it remains the same. After the electron capture, the new nuclide will have:

atomic mass nuclide = n° of protons + n° of neutrons = 12 + 16 = 28

atomic number nuclide = n° of protons = 12

If we look for the element that has an atomic number of 12 in the periodic table we will see that it is magnesium.

Finally we can express this like a reaction:

28 0 28

Al + e --------> Mg

13 -1 12

Answer:

28

Mg

12

Complete the balanced dissociation equation for the compound below. If
the compound does not dissociate, write NR after the reaction arrow.
LiOH(s) →

Answers

LiOH ⇌ Li +  + OH - NR

When there are too many OH ions, water dissociates fully to the left, possibly leaving only Li + and OH ions and H 2 O molecules.

IN CHEMISTRY, WHAT IS AN ION?

An atom or collection of atoms that is classified as an ion as a different number of electrons than proton atoms. The particle is a positive ion, also known as a cation, if the number of electrons is smaller than the number of protons.

How do ions form?

Ions are created when there are more protons in an atom than electrons, which is the case in all atoms. An atom that has gained or lost one or more electrons, and as a result has a negative or positive charge, is what is referred to as an ion. Exchanging electrons between atoms or molecules is the process of ionization.

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The volume of ammonia gas at .930 atm of pressure is gradually decreased from 96.2mL to 44.7mL. What is the final pressure of ammonia if there is no change in temperature?

Answers

Initial Pressure = P₁ = 0.930 atm

Final Pressure = P = ?

Initial Volume = V₁= 96.2 mL

Final Volume = V = 44.7 mL

Temperature = constant

If we consider that ammonia as an Ideal Gas, and since the temperature is constant we can apply Boyle's Law. It says that at constant temperature:

P * V = P₂ * V₂

If we divide at both sides by V₂:

P₁* V₁ / V₂ = P₂ * V₂ / V₂

On the right side we can cancel V₂ and we get:

P₁* V₁ / V₂ = P₂

P₂ = P₁* V₁ / V₂

Replacing by the values that we were given:

P2 = 0.930 atm * 96.2 mL / (44.7 mL)

P2 = 2.00 atm

So the final pressure is 2.00 atm

Which is the least electronegative element?Group of answer choicescarbonnitrogenoxygenaluminum

Answers

In order to solve this question, we can use the electronegativity table (or also just a regular periodic table), which will give us the values of electronegativity for each element.

As we can see in this table, the least electronegative element will be Al, with only 1.61 of value. If you were with a regular periodic table, you could find this answer by thinking about the periodic table trend, or we can also call it a rule, that in most elements the electronegativity will grow in value from left to right and from the bottom to the top, then you would also get Al as your answer

Answer = Al, letter D

A sample of nitrogen gas, occupies 50.0 mL at 27 °C and 500. torr. What pressure will it have if cooled to –73 °C while the volume remains constant?

Answers

Answer:

333.33 torr

Explanation:

Initial Pressure = 500 torr

Let Final Pressure be 'P'

Initial Temperature = 27 °C = 300 K

Final Temperature = -73 °C = 200 K

Initial Volume = Final Volume

From Combined Gas Law,

(Initial Pressure × Initial Volume) / Initial Temperature = (Final Pressure × Final Volume) / Final Temperature

So, P = (500 torr × 200 K) / 300 K = 333.33 torr

10) Identify the substance as an acid or a base and put an "X" in the box.
l

Answers

Identify the substance as an acid or a base and put an "X" in the box lemon juice is the acid sodium hydroxide is the base and ammonia is the weak base and HCl is the strong acid

An acid is the any hydrogen containing substances that is capable of donating a proton to another substances and base is the molecule or ion able to accept a hydrogen ion from acid and acidic substances are usually identified by their sour taste and here given example are lemon juice acidic because they contain high amount of citric acid and sodium hydroxide is the base because they dissociate completely into the solution to form hydroxide ion and ammonia is the weak base because nitrogen atom has electron pair that easily accept a proton and HCl is the strong acid because  it dissociate almost completely

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If 3.8 moles of P4 are used, how many moles of O2 are needed?

Answers

1) Write the chemical equation.

[tex]P_4+O_2\rightarrow P_4O_{10}[/tex]

2) List the elements in the reactants and in the products.

Reactants.

P: 4

O: 2

Products

P: 4

O: 10

Balance O.

[tex]P_4+5O_2\rightarrow P_4O_{10}[/tex]

3) Moles of O2 needed.

The molar ratio between P4 and O2 is 1 mol P4: 5 mol O2.

[tex]mol\text{ }O_2=3.8\text{ }mol\text{ }P4*\frac{5\text{ }mol\text{ }O_2}{1\text{ }mol\text{ }P_4}=19\text{ }mol\text{ }O_2[/tex]

If 3.8 mol P4 are used, 19 mol O2 are needed.

.

Consider this reaction:3Ca(s)+2H3PO4(aq)=Ca3(PO4)2(s)+3H2(g)How many grams of calcium are required to produce 50.500 g of calcium phosphate (MW = 310.19g/mol) assuming an excess of Phosphoric acid?

Answers

Answer

19.6 grams

Explanation

Given:

Mass of calcium phosphate produced = 50.500 g

Equation: 3Ca(s) + 2H3PO4(aq) ---> Ca3(PO4)2(s) + 3H2(g)

What to find:

The grams of calcium required to produce 50.500 g of calcium phosphate.

Step-by-step solution:

From the equation, 3 mol Ca produce 1 mol Ca3(PO4)2

1 mole Ca3(PO4)2 = 310.19 grams

1 mole Ca = 40.078 grams

This means, (3 x 40.078 g) = 120.234 g Ca produce 310.19 g Ca3(PO4)2

So x grams Ca will be required to produce 50.500 grams Ca3(PO4)2

x grams Ca will be equal

[tex]\frac{50.500\text{ }g}{310.19\text{ }g}\times120.234g\text{ }Ca=19.6\text{ }grams\text{ }Ca[/tex]

The grams of calcium required to produce 50.500 g of calcium phosphate = 19.6 grams

How many moles are there in 2.50 grams of ethanol, C2H6O ?

Answers

There are 0.0543 moles of C2H6O.

When copper is heated with an excess of sulfur, copper(I) sulfide is formed.

In a given experiment, 1.53 g of copper was heated with excess sulfur to yield 1.76 g of copper(I) sulfide.

What is the percent yield?

Answers

If 1.53 g of copper is heated with excess sulfur to yield 1.76 g of copper (I) sulfide, the percent yield would be  75.43%.

Percent yield

The percent yield of a reaction is the actual yield relative to the theoretical yield of the same reaction.

The percent yield of a reaction is mathematically expressed as:

Percent yield = actual yield/theoretical yield x 100%.

Let us now consider the reaction in question. The equation of the reaction is given as:

[tex]Cu + S --- > CuS[/tex]

The mole ratio of the copper that reacts to the copper sulfide that is formed is 1:1.

Recall that: mole = mass/molar mass

The molar weight of copper is 63.55 g/mol

Mole of 1.53 g copper = 1.53/63.55

                           = 0.024 moles

The equivalent mole of copper sulfide produced will also be 0.024 moles.

The molar mass of CuS is 95.61 g/mol

Mass of 0.024 moles CuS = 0.024 x 96.61

                                      = 2.32 g

2.32 g is the theoretical yield of the reaction. But 1.76 g of copper sulfide is the actual yield.

Percent yield = 1.75/2.32 x 100%

                      = 75.43%

Thus, the percent yield of the reaction, if 1.53 g of copper is heated with excess sulfur to produce 1.76 g of copper (I) sulfide, is 75.43%.

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A patient receives 100 mL of 25% (m/v) mannitol solution every hour.How many grams of mannitol are given in 1 hour?Express your answer using two significant figures.

Answers

Explanation:

A patient receives 100 mL of a 25 % m/v mannitol solution every hour. We have to find the mass in grams of mannitol that the pacient is receiving in 1 hour. We can use the formula of the mass/volume percent to find the answer to our problem.

% m/v = mass of solute in g/(volume of solution in mL) * 100 %

We know the concentration of the solution and we have the volume of solution in mL, so we can solve the formula for the mass of solute and get the answer to the problem.

25 % m/v = mass of solute in g/100 mL * 100 %

mass of solute in g = 25 * 100/100 g

mass of solute in g = 25 g

Answer: In 1 hour the patient receives 25 g of mannitol.

What is the energy of a purple
lamp with a frequency of
7.5 x 10^14 Hz

Answers

Answer:

[tex] \huge{4.969 \times {10}^{ - 19} \:J }[/tex]

Explanation:

The energy of the purple lamp can be found by using the formula

E = hf

where

E is the energy

f is the frequency

h is the Planck's constant which is

6.626 × 10-³⁴ Js

From the question.

[tex] f = 7.5 \times 10^14 \: Hz [/tex]

We have.

[tex] E = 6.626 \times 10^{-34} \times 7.5 \times 10^{14} [/tex]

We have the final answer as

[tex]4.969 \times {10}^{ - 19} \: J[/tex]

Answer the following questions assuming you have a 1.3M (molarity) solution ofHNO3 (5 points each, 15 points total)A. How many moles of HNO3 would you have in 0.6 liters of the above solution?B. How many grams of HNO3 would be present in 0.6 liters of the above solution?C. If you began with 0.6 liters of solution, and diluted the solution to a concentration of 0.45M, whatwould the final volume of the solution be?

Answers

Answer:

A) 0.78 moles

B) 49.15grams

C) 1.73L

Explanations:

The formula for calculating the molarity of a solution is expressed as;

[tex]\begin{gathered} molarity=\frac{moles}{volume} \\ moles=molarity\times volume \end{gathered}[/tex]

Given the following parameters

molarity of HNO3 = 1.3M

volume of HNO3 = 0.6L

A) moles of HNO3 = 1.3 * 0.6

moles of HNO3 = 0.78moles

B) Mass of HNO3 = moles * molar mass

Mass of HNO3 = 0.78 * 63.01

Mass of HNO3 = 49.15grams

There are 49.15grams of HNO3 present in 0.6L of the solution

C) According to dilution formula

[tex]\begin{gathered} C_1V_1=C_2V_2 \\ V_2=\frac{C_1V_1}{C_2} \\ V_2=\frac{1.3\times0.6}{0.45} \\ V_2=\frac{0.78}{0.45} \\ V_2=1.73L \end{gathered}[/tex]

Therefore the final volume of the solution will be 1.73L

asap


compare and contrast chemical and physical equilibrium

Answers

Answer:

The difference between chemical and physical equilibrium. Physical is a reversible change of state. Chemical is a reversible chemical reaction that can go in the direction to create products or to create reactants.

A physical equilibrium is an equilibrium state in which the physical state of the system does not change. Chemical equilibrium is the equilibrium state in which the concentrations of reactants and products is not changed with time.

Hope this helps!

QUESTION 2How many grams of NaOH are present in 27.0 mL of a 2 M solution?

Answers

We want the mass of NaOH, Given:

V = 27.0 mL = 0.0270 L

C = 2 M

Given the concentration and volume we can find the number of moles of NaOH, and then convert it to mass.

C = n/V (or Molarity = moles of solute/litres of the solution) where C is the concentration or molarity, n is the number of moles of the solute and V is the volume of the solution

n = Cv

n = 2 x 0.0270 L

n = 0.054 mol

Now that we have the number of moles, we can get the mass of NaOH. Molar mass of NaOH = 39,997 g/mol

n = m/M where m is the mass and M is the molar mass

m = nM

m = 0.054 mol x 39,997 g/mol

m = 2.16 g

A testable question is, “How does the amount of exercise affect heart rate and breathing rate?” Which is a controlled variable?O Amount of exerciseO Heart rateO Breathing rateO Temperature in the room

Answers

Answer

Temperature of the room

Explanation

The room temperature can be controlled compared to all other options.

A mixture of nitrogen and hydrogen gas is compressed from a volume of 90.0L to a volume of 89.0L, while the pressure is held constant at 44.0atm. Calculate the work done on the gas mixture. Round your answer to 2 significant digits, and be sure it has the correct sign (positive or negative).

Answers

The PV work formula is:

w = -Pexternal * ΔV

w = -44.0 atm * (89.0 - 90.0)

w = -44.0 atm * -1 L

w = 44.0 L atm

For each L atm, we will have 101.325 Joules, therefore

44.0 L atm * 101.325 J

w = 4458.3 J or 4.4 kJ

What type of bond is formed between hydrogen and oxygen atoms within a water molecule?Ionic bondNonpolar covalent bondPolar covalent bondHydrogen bondWhich of the following best describes a solute that is dissolved in water?Aqueous solutionGaseous solutionAlloyHeterogeneous solution

Answers

To determine what type of bond is formed when hydrogen and oxygen form water, we have to find the difference in electronegativities of hydrogen and oxygen:

[tex]3.44-2.2=1.24[/tex]

According to this, the difference between electronegativities is less than 1.7 and greater than 0.4, which means that the type of bond formed by oxygen and hydrogen is polar covalent bond.

The 946 mL of Gatorade bottle contains FD&C Blue I at concentration of 0.100mg/L. Molar mass of Blue I is 792.84 g/mol.
a) Calculate the molarity of Blue I in Gatorade.
b) How many molecules of Blue I would you consume by drinking the entire bottle of Gatorade.

Answers

The molarity of Blue I in Gatorade is 0.00010 mol L⁻ molecules of Blue I would you consume by drinking the entire bottle of Gatorade is 4.77 mol

Molarity is the amount of substance in certain volume of solution and also moles of solute per liter of solution

Here given data is

Volume = 946 mL

Molar mass = 792.84 g/mol

Concentration = 0.100mg/L

We have to find molarity and molecules of Blue I would you consume by drinking the entire bottle of Gatorade = ?

Molarity = number of moles of solute/volume of solution

Molarity = 0.100mg/L/946 mL

Molarity =0.00010 mol L⁻

Now we have to find molecules of Blue I = ?

Molecules of Blue I = 792.84 g/mol × avagadro number

Avagadro number = 6.022×10²³

Molecules of Blue I = 792.84 g/mol×6.022×10²³

Molecules of Blue I = 4.77 mol

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Where are the alkali metals and the alkaline earth metals located? How do the characteristic properties of each group compare/contrast to the other?

Answers

Alkali Metals are located in the first group in the periodic table. (Hydrogen is not alkali, be careful with that).

Alkaline Earth Metals are in group number two, right next to the Alkali Metals.

You have to look at the vertical groups ( 1 and 2).

----------------------------------------------------------------------------------------------------------------

ALKALI METALS (AL) VS ALKALINE EARTH METALS (ALE).

Alkali Metals are soft, Alkaline Earth Metals are hard.

AL have only one electron in the last shell, ALE have 2.

AL present a low melting point, ALE high.

AL form hydroxides strongly basic, ALE hydroxides are less basic.

AL are more reactive than ALE

AL have +1 ionic charge in their compounds, ALE have +2 ionic charge in their compounds.

I need your help with this question
No need explaining just say the answer thanks

Answers

Answer: CHOCH

The third one

Explanation:

Which of the following statements about temperature scales are correct? Select all that apply.
Zero on the Kelvin scale corresponds to absolute zero.
The Kelvin and Fahrenheit scales are commonly used in chemistry.
The units the Celsius and Fahrenheit scales are both called degrees.
Water boils at 273 K on the Kelvin scale.

Answers

Zero on the Kelvin scale corresponds to absolute zero this statements about temperature scales is correct

What is Temperature scales ?

Using a beginning point (0 or zero) and a unit of measurement, a temperature scale can be used to indicate or measure temperature. This is typically accomplished by designating certain physical events as occurring at 0 and 100 degrees Fahrenheit, respectively, at specific temperatures, such as the freezing and boiling points of water.

The Fahrenheit and Celsius (Centigrade) systems are the two most often used temperature scales. Due to the fact that all molecular activity stops at the zero points of the Rankin and Kelvin scales, two other scales, they are known as the absolute scales. This location is referred to as absolute zero.

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Recall the postulates of kinetic-molecular theory. Read the list and check all the statements that apply to the behavior of an ideal gas:1. gas particles behave like hard spheres2. gas particles travel randomly3. gas particles are attracted to each other4. energy is lost when gas particles collide 5. average kinetic energy of a collection of gas particles depends on the temperature6. gas particles occupy most of the space within a container7. gas particles have mass and volume

Answers

Answer:

Chemistry - States of matter - Kinetic Molecular Theory

This is the theory that explains the states of the matter and is based on the idea that matter is composed of tiny particles that are always on motion.

Part 1: Check all the statements that apply to the behavior of an ideal gas

The behaviors that apply are:

1.Gas paarticles behave like hard sphares.

2.Gas particles travel randomly.

5. Average kinetic energy of a collection of gas particles depends on the temperature.

Part 2: According to kinetic-molecular theory the one that would not be considered an ideal gas is:

A gas with highly polar molecules that have very strong intermolecular forces.

This is because the theory consideres thhat there are no forces of attraction of repultion between gas particles.

The designations for the first four electron energy sublevels with the maximum number of electrons that can be accommodated in each sublevel ares:2, p:6, d:10, and f:14s:2, p:8, d:10, and f:14s:1, p:2, d:3, and f:4s:2, p:8, d:18, and f:32

Answers

So,

The s sublevel has just one orbital, so can contain 2 electrons max. The p sublevel has 3 orbitals, so can contain 6 electrons max. The d sublevel has 5 orbitals, so can contain 10 electrons max. And the 4 sublevel has 7 orbitals, so can contain 14 electrons max.

Therefore, the correct answer is:

s:2, p:6, d:10, and f:14

Other Questions
Use the following function rule to find (2). f(x) = (-5 - 2x)? ? f(2) = | Submit what's you're moms name 11) -3(1 + 6r) = 14 - r 12) 660+6)-5=1+6v 13) -4k + 2(5k - 6) = -3k - 39 14) -16 + 5n=-71- why dont ppl consider ice as salty water? Question 3 of 5A Galapagos penguin can walk mile in an hour. How many hours would ittake the penguin to walk mile?O A. x = hourOB. +=hoursO c.hourOD. + hours- two slices of dans famous pizza have 230 calories how many calories would you expect to be in 5 slices of pizza What Is 3354 X 5 +339Thanks What is the equation of the following graph?A. f(x) = 2(3*)OB. f(x) = (4)Oc. f(x) = 3(2)D. f(x) = 5(2") y A light, inextensible cord passes over alight, frictionless pulley with a radius of15 cm. It has a(n) 18 kg mass on the left and a(n) 2.6 kg mass on the right, both hanging freely. Initially their center of masses are a vertical distance 1.5 m apart.The acceleration of gravity is 9.8 m/s.At what rate are the two masses accelerating when they pass each other answer in units of m/s^2 Find the measure of each angle in the diagram 20, 33, 44, 53, 69, 75, 89, 90 Find the mean and the standard deviation. Round to the nearest thousandth. 3. Darren won Round 3 of the game. Sherri is wondering if she lost Round 3 by 5 points or by 25 points. Explain to Sherri how many points Darren won Round3 by and show the mathematics you used to justify your answer.4. Sherri and Darren actually played with a third player, their friend Eric. Unfortunately, Eric forgot to record the points he scored in each of the three roundsin the table. ONLY AND ONLY REALLY SMART PEOPLE;) Two uniform cylinders are machined out of solid aluminum. One has twice the radius of the other. If both are placed at the top of the same ramp and released, which is moving faster at the bottom?. filter is a higher-order function that group of answer choices can check the equality of all types of data. allows a variable number of arguments. reduces a list of elements to a single element. applies a function to all elements of a list. you own a beverage company and have a few different types of beverages on the market. one of the diet sodas isn't doing as well as your other sodas and you want to see what you can do to increase your sales. after conducting some research, you see that 80% of your total potential market (100%) is aware of your product. furthermore, 75% have adequate knowledge about your product and 65% say they like the product. half say they intend to buy the product and 45% of the market actually buy it. what aspect of the hierarchy of effects should be the promotional objective? After harvesting the Cyprus papyrus plant [specially cultivated papyrus that was grown on plantations], the outer fibers are peeled away and the core of the stalk is sliced into very thin strips that are as broad as possible. . . . These papyrus strips are next soaked in water for around three days, removing the sugar content and making the fibers flexible and transparent.When the papyrus is removed from the water it is very soft and quite spongy. It is rolled flat and left to dry a little before the strips are cut to the desired length. Next, the papyrus strips are pounded and the excess water drained away, after which they are placed side by side, overlapping slightly. A second set of papyrus strips are placed at right angles to the first, again overlapping slightly. Next, this raw papyrus sheet is pounded once again, and left under a heavy weight (usually a stone slab) to dry for approximately six days. The remaining sugar within the papyrus seals the strips together. Finally, after drying, the surface of the papyrus sheet is polished to a smooth finish by rubbing it with, for example, a shell or a piece of smooth ivory. . . . For longer documents, pages were joined to create a papyrus roll (scroll). In fact, papyrus sheets were usually not sold individually, but in rolls (of about 20 sheets), with the fibers running in the same direction, except for the end sheets, which were reversed in order to add strength. However, in later periods, we also find papyrus books, which finally triumphed over the papyrus roll.Question: Which of the following claims can best be justified considering the papyrus process described in the excerpt?33 points NO LINKS!! Describe the domain and range (in BOTH interval and inequality notation) for each function shown part 1a For which values of A, B, and C will Ax + By = C be a horizontal line through the point (4, 2)? cos2 0-cos 20 = sin2 0