How many moles of H2O areequivalent to 97.3 grams ofH2O?(H = 1.008 g/mol, O = 16.00 g/mol)[?] molEnter

How Many Moles Of H2O Areequivalent To 97.3 Grams OfH2O?(H = 1.008 G/mol, O = 16.00 G/mol)[?] MolEnter

Answers

Answer 1

Before we find the number of moles of H₂O that we have in the 97.3 g sample of it, we have to find the molar mass of H₂O. We are given the molar mass of H and O.

H = 1.008 g/mol O = 16.00 g/mol

One molecule of H₂O has 2 atoms of H and 1 atom of O. We can calculate its molar mass like this:

molar mass of H₂O = 2 * molar mass of H + 1 * molar mass of O

molar mass of H₂O = 2 * 1.008 g/mol + 1 * 16.00 g/mol

molar mass of H₂O = 18.016 g/mol

Now that we know that 1 mol of H₂O has a mass of 18.016 g, we can find the number of moles of H₂O that there are in 97.3 g of it.

number of moles of H₂O = mass of H₂O/molar mass of H₂O

number of moles of H₂O = 97.3 g/(18.016 g/mol)

number of moles of H₂O = 5.40 moles

Answer: there are 5.40 moles of water in 97.3 g of it.


Related Questions

Magnesium (Mg) is defined to have a high charge density. What does this mean?

Answers

Explanations:

Charge density is defined as the ratio of charge of an atom to its volume. Note that the smaller the radius of an atom, the smaller the volume.

According to the formula for the charge density, the smaller the volume of the element, the higher its charge density (The volume being at the denominator).

Hence we can conclude that the high density of Magnessium is related to its atomic radius and shows that the element has small atomic radius.

Which statement is true of energy in reactants during an endothermic reaction? (1 point)

Answers

The answer should be the second one:

An endothermic reaction is one that pulls thermal energy from its surroundings to continue the reaction.

As energy is pulled into the reaction it is used to form bonds between reactants to form products. Through this process energy is neither created nor is it destroyed, it is simply converted into another form.

The energy found in the reactants remains in the system, and the reactants also take energy from the surroundings.

Perform the followingmathematical operation, andreport the answer rounded tothe correct number ofsignificant figures.43.6 /21.2 = [?]=

Answers

Answer:

[tex]2.06[/tex]

Explanation:

Here, we want to perform the given division operation and give the answer to the right significant figures

The right significant figures here would be the least significant figures present in the division

Mathematically, we have this as:

[tex]\frac{43.6}{21.2}\text{ = 2.06}[/tex]

Calculate the mass percent of a NaCl solution in which 160 g of NaCl is dissolved in 3.13 L of water at 25 ∘C (density = 0.997 g/mL).Express your answer numerically.

Answers

The formula of mass percent is the following:

[tex]\text{mass percent=}\frac{mass\text{ of solute}}{mass\text{ of solution}}[/tex]

where mass of solute correspond to the mass of NaCl and mass of solution correspond to the sum of NaCl and water mass.

We need to find the mass of water using its volume and density:

[tex]\text{mass of water=}\frac{\text{density}}{\text{volume}}=\frac{0.997\text{ g/mL}}{3130\text{ mL}}=0.997\text{ g water}[/tex]

And we replace it in the first formula like this:

[tex]\text{mass percent=}\frac{160}{160+0.997}=0.9938[/tex]

We obtain the percent multiplying the result by 100, so the answer is 99.38%

Find the percent composition for Ca and Cl in CaCl2

Answers

The percent composition for Ca in CaCl2 is 36.1% and the percent composition for Cl in CaCl2 is 63.9%

1st) We need to know the atomic weight of Ca and Cl, and the molecular weight of CaCl2.

We can find the atomic weight in the Periodic Table:

Ca atomic weight: 40.07 g/mol

Cl atomic weight: 35.45 g/mol

So, the molecular weight of CaCl2 is:

40.07 g/mol x (35.45 g/mol x2) = 110.97 g/mol

CaCl2 molecular weight: 110.97 g/mol

2nd) With a mathematical Rule of Three we can calculate the percent composition for Ca and Cl. Here, it is important to rember that the CaCl2 molecular weight (110.97 g/mol) represents the 100%.

- Percent composition for Ca in CaCl2:

[tex]\begin{gathered} 110.97\text{ g/mol-100}\% \\ 40.07\text{ g/mol -x=}\frac{40.07\text{ g/mol}\cdot\text{100}\%}{110.97\text{ g/mol}} \\ x=36.1\% \end{gathered}[/tex]

- Percent composition for Cl in CaCl2:

[tex]\begin{gathered} 110.97\text{ g/mol - 100}\% \\ 70.9\text{ g/mol - x=}\frac{70.9\text{ g/mol}\cdot\text{100}\%}{110.97\text{ g/mol}} \\ x=63.9\% \end{gathered}[/tex]

So, the percent composition for Ca in CaCl2 is 36.1% and the percent composition for Cl in CaCl2 is 63.9%.

The percent composition of  Calcium(Ca) in  Calcium chloride CaCl₂ is 36%

To calculate the" Percentage of an element in a compound =Molar mass of element/ Mass of Compound x 100" which is generally Know as Mass Percentage of an element.

Molecular Formula is  CaCl₂  Ca+Cl₂→CaCl₂

Which is called as calcium chloride  in which  Molecular Mass of Calcium (Ca) is 40 and  Molecular Mass of chlorine(Cl) is 35.5. In compound we have 1 Calcium and 2 chlorine atoms.

Ca =40x1+ 2cl= 35.5x2 =71 = 40+71= 111 which is Mass of compound.

Percent of Element Ca in CaCl₂ is [tex]\frac{40}{111}[/tex]×100 = 36.06(approx. )36%.

Percent of Cl₂in CaCl₂ is 64%.

To learn more about MassPercentage:https://brainly.com/question/26150306

A 6.7969 mol sample of C2H2 is in a 67.153 L container. What is the pressure of this gas in atmospheres at 668.44 C?

Answers

We will assume that the gas behaves like an ideal gas, so we can apply the following equation for ideal gases:

[tex]PV=nRT[/tex]

Where,

P is the pressure of the gas, in atm

V is the volume of the gas in liters, 67.153L

n is the moles of the gas, 6.7969 mol

T is the temperature of the gas in Kelvin, 668.44°C=947.59K

R is a constant, 0.08206atm.L/mol.K

Now, we clear the pressure and replace the known data:

[tex]P=\frac{nRT}{V}[/tex][tex]P=\frac{6.7969mol\times0.08206\frac{atm.L}{mol.K}\times947.59K}{67.153L}=7.8206atm[/tex]

Answer: The pressure of this gas is 7.8206atm

How many grams of CaCl2 (MM = 110.98) are needed to make 0.00175× 10^6 mL of 1.50 M235 g100 g200 g150 g291 g

Answers

Answer: 291.3 g of CaCl2 would be necessary to prepare the solution given. The best option to answer the question is the last one (letter E, 291 g)

Explanation:

The question reuquires us to determine the mass of CaCl2 necessary to prepare 0.00175× 10^6 mL of a 1.50 M solution.

We can use the following equation, which corresponds to the definition of molarity, to calculate the number of moles of CaCl2 necessary to prepare the solution:

[tex]M=\frac{n}{V}[/tex]

Where M is the molarity of the solution (given in mol/L or M), n is the number of moles of solute (in mol) and V is the volume of solution (in L).

Note that we'll need to convert the volume given (0.00175× 10^6 mL) from mL to L:

[tex]V=0.00175\times10^6mL\times\frac{1L}{1000mL}=1.75L[/tex]

Next, we can rearrange the equation for molarity in order to calculate the number of moles of CaCl2:

[tex]M=\frac{n}{V}\rightarrow n=M\times V[/tex]

And, applying the values given by the question:

[tex]n=(1.50mol/L)\times(1.75L)=2.62mol[/tex]

Therefore, 2.62 moles of CaCl2 would be necessary to prepare the solution.

We can use the following equation to convert the number of moles calculated (2.62 mol) to the mass required, considering the molar mass of CaCl2 given (MM = 110.98 g/mol):

[tex]n=\frac{m}{MM}\rightarrow m=n\times MM[/tex]

Where n corresponds to the number of moles (in mol), m is the mass of the sample (in grams) and MM corresponds to the molar mass of the compound (in g/mol).

Applying the molarity given by the question and the number of moles calculated, we'll have:

[tex]m=(2.62mol)\times(110.98g/mol)=291.3g[/tex]

Therefore, 291.3 g of CaCl2 would be necessary to prepare the solution given. The best option to answer the question is the last one (letter E, 291 g).

If a chemical reaction releases heat and/or light into its surroundings when it occurs, the reaction.....Group of answer choicesis a combustionis exothermicis endothermicis a neutralization

Answers

Although combustion and neutralization can release energy, that is not the definition of a reaction that releases energy.

The names that are related to how the energy changes on a chemical reaciton are "exothermic" and "endothermic".

One of them is the name for reactions that release energy, and the other for reaction that absorbs energy.

To remember which is which, we can look at the begining of the word. "exo" gets the idea that is outwards, and "endo" that is inwards, so exothermic are the reactions that release energy and endothermic are the reactions that absorb energy.

Since we want the name for one that releases, the correct answer is "is exothermic."

Consider the reaction 2NO2(g)+energy =2NO(g)+02(g).Is the reaction exothermic or endothermic ?And what shift would occur in the system if the temperature were increased explain

Answers

Answer

The reaction is an endothermic reaction.

If the temperature of the system were increased, the shift would occur towards the right (i.e forward reaction).

Explanation

Consider the reaction

2NO2(g) + energy = 2NO(g) + O2(g).

The reaction is endothermic because it absorbs or gains energy.

If the temperature of the system were increased, the shift would occur towards the right (i.e forward reaction) because an increase in temperature favors the endothermic reaction. This means increasing the temperature will shift the equilibrium to the right-hand side of the equation.

Calculate the number of molecules present in 0.40 moles of H2O.

Answers

To find the number of molecules present in 0.40 moles of water (H2O), we have to use Avogadro's number which is 6.02 x 10^(23). Remember that this number represents the number of molecules or atoms per mole of a compound.

The calculation is:

[tex]0.40molesH_2O\cdot\frac{6.02\cdot10^{23}moleculesH_2O}{1moleH_2O}=2.408\cdot10^{23}moleculesH_2O.[/tex]

The answer is that 0.40 moles of H2O contain 2.408 x 10^(23) molecules of H2O.

What is missing in the nuclear reaction shown below? 10 is over 5B + 4 is over 2He → ________ + 1 is over 0n

Answers

Answer:[tex]^{13}_7N\text{. Option C is correct.}[/tex]

Explanation:

Before balancing the given nuclear reaction, we need to understand what nuclear reaction is.

In simple terms, a nuclear reaction is a process where two nuclei collide to produce one or more new nuclides.

Given the nuclear reaction;

[tex]^{10}_5B+^4_2He\rightarrow^b_aX+^1_0n[/tex]

We need to get the unknown element X, the mass number "b" and its atomic number "a"

To get the atomic and the mass number, we will take the sum of the atomic and mass number in the reactant and equate it to the atomic and mass number at the product as shown;

For the atomic number:

[tex]\begin{gathered} 5+2=a+0 \\ 7=a+0 \\ a=7 \end{gathered}[/tex]

For the mass number:

[tex]\begin{gathered} 10+4=b+1 \\ 14=b+1 \\ b=14-1 \\ b=13 \end{gathered}[/tex]

This shows that the required element needed to balance the chemical reaction is an element with an atomic number of 7 and a mass number of 13. The required element will be Nitrogen-13-atom.

The balanced form of the nuclear reaction will be:

[tex]^{10}_5B+^4_2He\rightarrow^{13}_7N+^1_0n[/tex]

fill out the table shown in the photo (black boxes don’t need to be filled in

Answers

Substance Boiling point

Vegetable oil 300 degrees celsius

Maple syrup 103.8 degrees celsius

Substance Melting point

Table salt 801 degrees celsius

Sugar 186 degrees celsius

Which of the following is a fossil fuel in solid-rock form that is obtainedthrough mining?OA. GypsumO B. CoalO C. PetroleumOD. Bauxite

Answers

Explanation:

Coal is a fossil fuel that is used to generate electricity.

It is known that fossil fuels are formed from the remains of ancient organisms.

In the USA, coal is mined in 25 states approximately and the major regions.

Answer: B. Coal

Relate moles to relative atomic mass

Answers

Answer:

Explanation:

Here, we want to relate moles to relative atomic mass

In terms of unit, we have moles as mol and relative atomic mass as g/mol

Thus, by definition, the relative atomic mass is the mass in grams per mole of the substance

Mathematically, we can relate the two as follows:

[tex]\begin{gathered} moles\text{ = }\frac{mass}{molar\text{ mass}} \\ \\ molar\text{ mass is the relative atomic mass of the given molecule} \end{gathered}[/tex]

How does a change in heat affect the non-polar molecules compared to polar molecules Which one would boil faster? How do you know when a molecule is in the gas phase?

Answers

Answer and Explanation:

Remember that the boiling point shows the temperature of a substance when it reaches the vapor phase.

It is common to see the application of heat to certain substances in boiling, for example, in water, the boiling point at 1 atm would be 100 ° C (373 K).

Remember that water is a polar molecule, so if we compare a polar substance such as water with a non-polar substance (ie, gas nitrogen, N2), you can note that the boiling point of the non-polar substance would be smaller. This is because non-polar molecules contain weaker forces than polar substances and heat "breaks" the bond between these forces to reach the gas phase, so it is more difficult to break strong forces such as the polar molecules.

At ambient temperature, we can identify at a glance if a molecule is in the gas phase by reviewing if it's a polar or nonpolar molecule. Many nonpolar molecules, at ambient temperature, are in the gas phase such as hydrogen gas (H2), oxygen gas (O2), nitrogen gas (N2), methane (CH4), etc.

True or False? If the concentration of H+ is greater than the concentration of OH- in a solution, the solution is basic.TrueFalse

Answers

Answer: the sentence given by the question is false

Explanation:

The question requires us to determine if the sentence given ("If the concentration of H+ is greater than the concentration of OH- in a solution, the solution is basic") is true or false.

The acidity or alkalinity of a solution can be measured by the amount of H+ ions that are present, and it is numerically represented by the pH of a solution. The pH is calculated based on the concentration of H+ ions, as it follows:

[tex]pH=-log\lbrack H^+\rbrack[/tex]

where [H+] corresponds to the concentration, in mol/L, of H+ ions in solution.

The equation above tells us that:

- a high concentration of H+ ions leads to a low pH value (acid solution);

- a low concentration of H+ ions leads to a high pH value (alkaline or basic solution).

A similar idea is applied to the value pOH (which corresponds to -log[OH-]), but a high pOH value indicates an alkaline solution, while a low pOH value corresponds to an acidic solution.

Thus, we can say that, if a solution presents more H+ ions than OH-, its pH value should be low while its pOH value should be high, which indicates an acid solution.

Therefore, the sentence given by the question is false.

36.Salt is added to water at room temperature, and the solution remains at room temperature. Which of the following does not apply to the more concentrated salt solution?Select one:a. It has a higher boiling point than water.b. It has a greater electrical conductivity than water.c. It has a lower freezing point than water.d. The salt absorbs energy from the water.

Answers

Answer

D. The salt absorbs energy from the water.

7. All cells require a continuous supply of ATP to sustain life processes. Cells generate ATP from ADP via

Answers

Cells just want sufficient ATP to live to tell the tale, but most cells save lots more than they need. it's miles doubtful why cells hold a lot of ATP, or whether or not this excess ATP has every other cause.

ATP hydrolysis offers the electricity needed for many crucial approaches in organisms and cells. these encompass intracellular signaling, DNA and RNA synthesis, Purinergic signaling, synaptic signaling, energetic transport, and muscle contraction.

One of the first and maximum enduring statistics maximum college students examine in biology class is that every living cells use a small molecule called adenosine triphosphate (ATP) as gas.

Learn more about Cells here

https://brainly.com/question/13123319

#SPJ9

question is in photo below What is the molarity of a solution that contains 0.75 moles of solute in a 1.5 L of solution?

Answers

What is the molarity of a solution that contains 0.75 moles of solute in a 1.5 L of solution?

Molarity is defined as the number of moles of solute per liter of solution. We can calculate it using this formula.

molarity = moles of solute/volume of solution in L

We already know the number of moles of solute and the volume of solution.

moles of solute = 0.75 moles

volume of solution in L = 1.5 L

We can replace those values to get the answer to our problem.

molarity = moles of solute/volume of solution in L

molarity = 0.75 moles/(1.5 L)

molarity = 0.5 M

Answer: the molarity of the solution is 0.50 M

40/20 Ca2+ hasa) 2O protons, 20 neutrons, and 18 electronsb) 22 protons, ?O neutrons, and 20 electronsc) 20 protons, 22 neutrons, and 18 electronsd) 22 protons, l8 neutrons, and 18 electrons

Answers

The common representation of atomic number, atomic mass and charge of an element is by writing in the following way:

40/20 Ca^2+

On the top, you have the atomic mass, which is the sum of the number of protons and the number of neutrons A = p + n

On the bottom, you have the atomic number, which is equal to the number of protons and number of electrons Z = p = e

The number and the sign indicate the charge of the element, if the element is +2, this means that we have a cation with 2 electrons missing, if the charge was -2, we would have an anion with 2 more electrons

Therefore the best answer for this question is:

20 protons, 20 neutrons, 18 electrons, letter A

Air is a mixture of gasses. By percentage, it is roughly 78 percent nitrogen, 21 percent oxygen, and 1 percent argon. what is the partial pressure of each gas in the container?

Answers

Answer:

pN2 = 592.8mmHg

pO2 = 159.8mmHg

pAr = 7.6mmHg

Explanations:

Partial pressure is the pressure that would be exerted by one the gases in a mixture.

Using the atmospheric pressure of 760mmHg

For Nitrogen

Partial pressure of Nitrogen = 78% of atmospheric pressure

Partial pressure of Nitrogen = 0.78 * 760mmHg

Partial pressure of Nitrogen = 592.8mmHg

For Oxygen

Partial pressure of oxygen = 21% * 760

Partial pressure of oxygen = 0.21 * 760

Partial pressure of oxygen = 159.6mmHg

For Argon

Partial pressure of Argon = 1% * 760

Partial pressure of Argon = 0.01 * 760

Partial pressure of Argon = 7.6mmHg

Which of the following are properties of metals? Select all that apply.LustrousMalleableHigh electrical conductivityDuctile

Answers

Answer

All the options apply

Procedure

Generally speaking, metals have the following characteristics:

• high melting points.

,

• good conductors of electricity.

,

• good conductors of heat.

,

• high density.

,

• malleable.

,

• ductile

,

• bright luster.

How many moles in 25.0 g of NaCl?

Answers

First, find the molar mass of the compound NaCl. The molar mass of Na is 22.99 grams per mole, and the molar mass of Cl is 35.45 grams per mole. Then, add these molar masses 22.99+35.45 = 58.44 grams per mol.

Then, we use the ratio of 58.44 grams / 1 mol to find the number of moles in 25.0 g of NaCl.

[tex]25g\cdot\frac{1\text{mol}}{58.44g}=0.428mol[/tex]

Therefore, there are 0.428 moles of NaCl.

please help me with my chemistry homework thank you so muchOptions:miscibleimmisciblepartially miscible

Answers

Chemistry => Solutions => Solubility

A mixture corresponds to joining two or more substances, depending on the behavior of the mixture, it can be said that the substances are miscible, immiscible, or partially miscible.

Immiscible refers to the fact that regardless of the proportion of the substances we will have two phases since the substances do not mix.

Partially miscible means that the substances mix depending on the proportion between them.

Miscible refers to the fact that regardless of the proportion, the substances will always be mixed, therefore we will see a single phase.

Therefore, the correct answer will be: Miscible

What does the sum of oxidation numbers need to equal for a charged compound?ZeroThe largest oxidation numberThe charge on the compoundThe smallest oxidation number

Answers

The sum of oxidation numbers for a charged compound has to be equal to the charge on the compound.

This is because, the sum of oxidation numbers represent the charge of a compound itself.

For neutral compounds this sum is 0, for charged compounds it is the charge of the compound.

Calculate the mass of solid required to make 750.0mL of 0.20mol/L solution of lead ii nitrate

Answers

We have 0.20 mol/L of solution and we required 750.0 mL

Concentration= 0.20 mol/L

Volume = 750.0 mL = 0.7500 L

If we multiply,

[tex]0.20\text{ }\frac{mol}{L}x0.7500L\text{ = 0.15 moles}[/tex]

After this, we need to find the mass of these 0.15 moles, so we need the molar mass of lead (II) nitrate:

The molar mass = 331 g/mol

Now,

[tex]0.15\text{ moles x 331 }\frac{g}{\text{mol}}=49.6\text{ g = 50 g (approx.)}[/tex]

Answer: 50 g

I have no idea on how to do these using the table method and showing all unit cancellations.

Answers

Question 18.

We want the mass of ammonium sulfate that can be produced from 30 mol H2SO4.

From the balanced equation.

We need to calculate the number of moles of ammonium sulfate using stoichiometry.

The molar ratio between H2SO4 and ammonium sulfate is 1:1

[tex]30\text{ mol x }\frac{1}{1}\text{ x }\frac{132.14\text{ g}}{1\text{ mol}}[/tex]

mass of ammonium sulfate = 3964.2 g

How can a H2 molecule collide with an O2 molecule without reacting to form water?a) the molecules form the activated complex when they collideb) this is impossible all collisions lead to reactions c) the molecules collide with enough energy to overcome the activation barrierd) the molecules collide in an orientation that does not lead to a reaction

Answers

When we have a mixture, at room temperature the hydrogen and oxygen gases, for example in the air, do not react to form water. First, because the activation energy of this reaction is very low. And second, because the movement of the molecules in their gaseous state is high, that is, they have a high kinetic energy. This kinetic energy is higher than activation energy, so the molecules don't react.

Therefore, the answer will be

c) the molecules collide with enough energy to overcome the activation barrier

Determine whether the following equations are representative of an exothermic or endothermic reaction by checking the boxes below.

Answers

Answer:

[tex]\begin{gathered} a)\text{ Endothermic} \\ b)\text{ Exothermic} \end{gathered}[/tex]

Explanation:

Here, we want to know what class does each reaction belong to

An exothermic reaction has heat given off. The temperature of the surroundings is raised as a result of that. In notation terms, the change in enthalpy is negative and heat is added to the product side of the equation of reaction

An endothermic reaction otherwise has heat absorbed. The temperature of the surroundings is reduced as a result. In notation terms, the change in enthalpy is positive and heat is added to the reactant side of the equation of reaction

From all of these, we conclude that:

a) Endothermic

b) Exothermic

You have 4 moles of Li2S. How many grams are present? a 120 b 11.5c 46 d 184

Answers

In order to find th mass in grams of 4 moles of Li2S, we need to use its molar mass, 45.95g/mol and the provided number of moles, the calculation is:

45.95g = 1 mol of Li2S

x grams = 4 moles of Li2S

x = 183.8 grams of Li2S in 4 moles, which can be rounded to184 grams, letter D

Other Questions
908.64 is 45% of monthly income.what is total income? which is the equation for the linear function f in the form f(x) = mx + b that has the given values? f(-2) = - 8, f(3) = 7 I need help with this please! This is Geometry :) Background Layout PERCENT OF CHANGE Directions 12 to 13.26 10.5% Increase: yellow 10.53 decrease: white 110.5% increase: pink decrease: green 65% decrease: yellow 40 to 26 35% decrease: blue Determine the percent of change and if there is an increase or decrease. Drag a round rectangle piece onto the answer. 35% increase: orange increase: white 60 to 84 140% increase: orange 140% decrease: red 71.4% increase: yellow increase: Pink 12.5 to 18.75 50% increase: white 150% increase: yellow 150% decrease: blue 50% decrease: green Go to the coloring page and follow the directions. coloring page NAME: 26% increase: 50 to 37 increase: pink 26% decrease: blue decrease: yellow How many solutions does the equation have?7(x - 2) = -14 + 7xA. Only 1 solution B. No solutionsC. Infinitely many solutions IITT STUw your Given Triangle ABC A(1,2) B(3,5) C(2,7) --------> You must graph this lidligi -> You must graph this triangle Translate by the rule (-5,-6). --> You must graph this triangle Then reflect over the y-axis -- **There should be three triangles on your graph** Find the slope of the line that goes through the given points What is expression on mathematics?? Example 1: Let f(x) = x2 +3. Evaluate f(x) at x = -1, 0, and 2. Make a table using these values. What is the velocity of a rollercoaster at the bottom of a track that is 49.5 m high if it starts from rest? I need help to solve these eyeing the significant numbers 120 people were asked to choose their favorite colorfrom a list of 6 colors. 18 people chose orange. Findthe degree measure of the part of the circle graph thatrepresents orange? A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain.BIG Corporation would like to estimate the mean amount of coffee, , dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate . Assuming that the standard deviation of cup amounts dispensed by this machine is 0.35 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that its estimate is within 0.07 ounces of ?Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). Estimate 8535/34 by first rounding each number so that it has only 1 nonzero digit. Find the slope of a line given the table of value below answer in a simplified fraction if necessary What is the value of x in the figure below? In this diagram, AABD - ACAD.B 509O A. 126OB. 45O c. 45O D.914O E. 170O F. 14 subtractf(x) =-5x+x-2g(x) = -3x+3x+9 A pyramid has a base that is a right traingle with legs measuring 10 cm and 14 cm. The height of the pyramid is 9 cm.The volume of the pyramid is ___ cubic cm. Using the diagram below, classify the angle pairs as corresponding. alternate interior, alternate exterior, consecutive interior, consecutive exterior, or none.1-) what classification corresponds to angle 6 and 7 angle. Rewrite (6x3 + 9x2 + 7)/(2x3 + 3x2) in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b(x) = divisor.