An organic compound contains carbon hydrogen and oxygen. If it contains 45.27% carbon and 4.43 % hydrogen by mass determine the empirical formula

Answers

Answer 1

This organic compound has in its structure the next element: C, H, and O

45.27% C

4.43 % H

The rest 100%-45.27%-4.43 = 50.3 % O

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

The empirical formula of a chemical compound is the simplest whole-number ratio of atoms present in a compound.

Procedure:

Step 1)

We convert % into grams (g). Let's assume we have a 100g sample. Therefore,

45.27 % C = 45.27 g

4.43 % H = 4.43 g

50.3 % O = 50.3 g

Step 2)

We calculate the number of moles of each element. To do this, we need every atomic mass

For C)

[tex]45.27\text{ g x }\frac{1\text{ mol}}{12.01\text{ g}}=3.767\text{ moles}[/tex]

For H)

[tex]4.43\text{ g x }\frac{1\text{ mol}}{1.00\text{ g}}=\text{ 4.43 moles}[/tex]

For O)

[tex]50.3\text{ g x }\frac{1\text{ mol}}{16.0\text{ g}}=3.14\text{ moles}[/tex]

Step 3)

We divide all moles by the smallest one of them (3.14 moles of O)

For C) 3.767 moles/3.14 moles = 1.19 = 1 (we need integer numbers)

For H) 4.43 moles/3.14 moles = 1.41 = 1

For O) 3.14 moles/3.14moles = 1

The empirical formula is CHO


Related Questions

give the n and l values and the number of orbitals for sublevel 5g.

Answers

The n and l values and the number of orbitals for sublevel 5g is :

5g shell , n= 5 subshell g , l = 4, Number of orbitals for sublevel = 9.

There are total four quantum numbers:

1) Principal quantum number , n

2) Angular quantum number , l

3) Magnetic quantum number , ml

4) spin quantum number , ms

For 5g shell, n = 5

subshell g , l = 4     ....0 - s , 1 - p , 2 - d, 3 - f, 4 -g

number of orbitals in subshell = (2l + 1)  ( 2×4 + 1) = 9

Thus,  The n and l values and the number of orbitals for sublevel 5g is :

5g shell , n= 5 subshell g , l = 4, Number of orbitals for sublevel = 9.

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Sugar forms when carbon, oxygen, and hydrogen combine in a specific ratio. From what you know about elements and the periodic table, what is true about the bonding in sugar?

Answers

Answer

B. The bonds in the compound are covalent

Explanation

The carbon, oxygen, and hydrogen that combine in a specific ratio to form the sugar are nonmetals. From what was learned about elements and the periodic table, nonmetals form covalent bonds among themselves to form compounds.

So what is true about the bonding in sugar is:

B. The bonds in the compound are covalent.

what is the pH of a neutral solution? a.10 b. 7c. 14 d. 0

Answers

According to the pH scale, the pH can range from 0 to 14, and the lower the pH, the more acidic the solution is, the same goes if the pH is higher, the solution will be basic. These two informations are based on the neutral value of pH, which is 7. Letter B is the answer


A silver ring is composed of 1.81×1023 atoms. Calculate the mass of the ring in grams.

Answers

Solving with Moles

Mole equation: [tex]n=\dfrac{m}{MM}[/tex]

n = number of moles (mol)m = mass (g)MM = molar mass (g/mol)

To find mass given number of atoms:

Divide number of atoms by the number of atoms in the chemical formula ⇒ find number of moleculesDivide number of molecules by Avogadro's number ([tex]6.02*10^{23}[/tex]) ⇒ find number of moles (n)Solve for m using moles equation

Solving the Question

We're given:

Ag (silver)Atoms = [tex]1.81*10^{23}[/tex] atomsm = ?

In the chemical formula, which is Ag, there is only 1 atom.

Divide [tex]1.81*10^{23}[/tex] atoms by 1 atom to get the number of molecules in the silver ring:

[tex]1.81*10^{23}\div 1\\=1.81*10^{23}[/tex]

Therefore, there are [tex]1.81*10^{23}[/tex] molecules in the silver ring.

Now, divide [tex]1.81*10^{23}[/tex] molecules by Avogadro's number to find n:

[tex]\dfrac{1.81*10^{23}}{6.02*10^{23}}\\\\=\dfrac{1.81}{6.02}\\\\=\dfrac{1.81}{6.02}\\\\= 0.30066[/tex]

Therefore, the sample has 0.30066 mol.

Finally, solve for the mass using the moles equation:

[tex]n=\dfrac{m}{MM}[/tex]

⇒ Rearrange the equation:

[tex]m=n*MM[/tex]

⇒ MM of Ag = 107.87 g/mol

⇒ Plug in given information:

[tex]m=0.30066* 107.87\\m=32.4[/tex]

Therefore, the mass of the ring is 32.4 g.

Answer

32.4 g

Question 16 of 25According to the Gibbs free energy equation, AG = AH-TAS, when is areaction always spontaneous?A. When AH and AS are both positiveB. When AH is negative and AS is positiveC. When AH is positive and AS is negativeD. When AH and AS are both negativeSUBMIT

Answers

Answer

B. When ΔH is negative and ΔS is positive

Explanation

The spontaneity of a reaction can be determined by the sign of the Gibbs free energy change. For a spontaneous reaction, the change in Gibbs free energy should be negative, that is:

[tex]\Delta G=\Delta H-T\Delta S[/tex]

The spontaneity of a process can depend on the temperature. Since the temperature value here corresponds to the absolute temperature, this implies that T > 0 for any T. Therefore, to have a negative difference for any temperature value, the change in enthalpy (ΔH), should be negative and the change in entropy (ΔS) should be positive so that we always subtract a positive number from a negative number. This corresponds to a negative value in ΔG.

Hence, the

How many Chiral centers are in coibacin B

Answers

It is to be noted that Coibacin B has three Chiral Centers. A chiral center is a molecule atom that is bound to four separate chemical species, permitting optical isomerism.

What is Coibacin B?

Coibacin B is a natural substance with a substantial anti-inflammatory effect and possible utility in the treatment of leishmaniasis, a parasitic illness.

It should be noted that Leishmaniasis is a parasite infection that may be found in the tropics, subtropics, and southern Europe. It is considered a neglected tropical illness (NTD).

Infection with Leishmania parasites, which are disseminated by the bite of phlebotomine sand flies, causes leishmaniasis.

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what is the volume (in liters) of a 4.2 gram sample of O2 at STP

Answers

to solve this we need to use the ideal gas law:

[tex]PV=nRT[/tex]

we need to calculate the number of mols of O2

[tex]n=\frac{m}{Mm}=\frac{4.2g}{32\text{ g/mol}}=0.131mol[/tex]

Now we just have to solve for volume and use the number of mols just calculated and the standard pressure (1 atm) and temperature 273.15K:

[tex]V=\frac{nRT}{P}=\frac{0.131mol\cdot0.082\text{ }\frac{atm\cdot l}{K\cdot mol}273.15K}{1atm}=2.94l[/tex]

While performing the extraction experiment, you were confused between the organic layer and the aqueous one, what is the easiest way to tell which layer is which?

Answers

The easiest way to tell which layer is wich, while performing the extraction experiment is to run a little test.

The test will consist on mixing a sample of both layers in different recipients with water.

After mixing them, the recipient with a homogeneous phase will have the aqueous layer, and the other one will be the organic layer.

Answer: The layer on top.

Explanation:

Assuming you were completing an extraction experiment and had a setup similar to the one below then the organic layer will float on top of the aqueous since most non-halogenated organic solvents have a density of less than 1.

What is the specific heat capacity of methanol (C) if it takes 7,490 joules of energy to heat 50.0 grams from 10.0 0C to 80.0 0C?

Answers

Answer:[tex]c=2.14J\text{/g}^0C[/tex]

Explanations

The formula for calculating the amount of heat energy absorbed is given as:

[tex]Q=mc\triangle t[/tex]

Given the following

• mass m = 50.0g

,

• Heat energy Q = 7490 Joules

,

• change in temperature = 80 -10= 70 degrees celsius

Substitute

[tex]\begin{gathered} 7490=50\times c\times70 \\ c=\frac{7490}{3500} \\ c=2.14J\text{/}g^oC \end{gathered}[/tex]

Hence the specific heat capacity of methanol is 2.14J/gC

In a different titration, a solid sample containing some Fe2+ ion weighs 1.705g. It requires 36.44 mL, 0.0244 M KMnO4 to titrate the Fe2+ in the dissolved sample to a pink end point.

a. How many moles MnO4 ion are required?
b. How many moles Fe2+ are there in the sample
c. How many grams of Fe are there in the sample?
d. What is the percent Fe in the sample?

Answers

The accurate responses are;

a) Number of moles of permanganate ion = 8.89 * 10^-4 moles

b) Number of moles of iron = 4.4 * 10^-3 moles

c) Mass of iron in the sample = 0.25 g

d) Percentage of iron in the sample = 14.7 %

What is titration?

The term titration refers to the kind of reaction in which the amount of substance can be obtained by the accurate determination of the volumes of the substances that have reacted in the process.

a) The number of moles of the permanganate ion that are involved is obtained from;

36.44 /1000 L * 0.0244 M = 8.89 * 10^-4 moles

b) Given that the reaction is 1:5 in the mole ratio of the permanganate ion and the iron III ion

1 mole of permanganate reacts with 5 moles of iron II

8.89 * 10^-4 moles reacts with 8.89 * 10^-4 moles* 5 moles/ 1 mole

= 4.4 * 10^-3 moles

c) Mass of the iron II ion in the sample = 4.4 * 10^-3 moles * 56 g/mol = 0.25 g

d) Percent of the iron in the sample = 0.25 g/1.705g * 100/1

= 14.7 %

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1. Find the elements sodium, oxygen, and phosphorus on the periodic table. Describe the monoatomic ions each would form. Then, given what you know about chemical bonding, describe and give the formulas for the types of ionic compounds they would produce with each other. Use the periodic table in the Chemistry: Problems and Solutions book to help with your answers.2. Given the chemical formulas of the following compounds, name each compound and state the rules you used to determine each name.KIFe2O3(NH4)3PO4

Answers

Answer for 2:

- KI: potassium iodide

- Fe2O3: diiron trioxide

- (NH4)3PO4: ammonium phosphate

Explanation for 2:

• KI,:

The compound KI is called potassium iodide, because it is a hydracid salt that has potassium in the positive parte (that's why it keeps the name of the metal). While the negative parte of the salt comes from the non-metal iodine.

• Fe2O3,:

The compound Fe2O3 is called

, because the molecule of this oxide has 3 oxygen atoms and 2 iron atoms.

• (NH4)3PO4:

The (NH4)3PO4 is a salt called ammonium phosphate, because it is formed from phosphoric acid (that gives the negative part of the salt), and ammonia (that gives the positive part of the salt). The negative part of salt ends in "...ate" because it comes from the acid that ends with the suffix "...ic".

3) Water is a polar solvent; gasoline is a non-polar solvent. Which compounds are
more likely to dissolve in water? Check all that apply.

CCI4
NaCI
CH4
Oil

Answers

According to given statement NaCI compounds are more likely to dissolve in water.

What is polar solvent with example?

Polar solvents, which do have "positive" and "negative" charges at different points throughout their structures, can dissolve other polar compounds. Acetone, methanol, dimethylformamide (DMF), dimethylsulfoxide (DMSO), isopropanol, and ethanol are some other polar solvents. A few of these solvents is water.

Why water is a polar solvent?

Due to the uneven distribution of its electron density, water is a polar molecule. This demonstrates that water is indeed a polar molecule because hydrogen and oxygen have different electronegativities. The fact that water can dissolve more chemicals compared to any other liquid makes it known as the "universal solvent."

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You randomly fina a brick labeled platinum! You get really excited because you look it up and find that platinum is worth $31.86 per gram.then density of platinum is 21.45 g/mL. You measure the volume and it’s 150 cm3 or 150.0mL. How much should the brick weigh if it’s is really platinum? And how much money would the brick be work

Answers

Step 1

Density is defined as:

D = mass of the platinum brick/volume of the platinum brick

D = m/V

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

Step 2

Information provided:

D = 21.45 g/mL

V = 150.0 mL

m = unknown

Price per grams of Pt = 31.86 $/g of Pt

Symbol for platinum = Pt (please, look at the periodic table)

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

Step 3

How much should the brick weigh if it’s is really platinum?

From D = m/V

=> D x V = m

=> 21.45 g/mL x 150.0 mL = 3218 g approx.

------

And how much money?

3218 g of Pt x 31.86 $/g of Pt = $99,660 approx.

Answer:

3218 g

$99,660

why show you heat the sample to constant mass

Answers

Heating to constant mass is done to retain the constant mass of the sample so that its weight remains the same and does not affect the reading throughout the experiment.

Heating to constant mass is a process in which a sample usually a powder or crystal is heated until the mass of the sample remains constant or the same.This is done to remove the excess moisture or other impurities that may affect the accuracy of the readings during the experiment.In this process, the sample is heated, cooled down weighed, and again the sample is heated, cooled down, and weighed. This process is done repeatedly until the mass of the sample remains constant in two or three consecutive measurements. Thus, heating to constant mass gives a minimized error during the experiment.

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Calculate the energy and frequency of red light having a wavelength of 650 nm (Note => 650 nm = 6.50 * 10^7 m)

Answers

The energy and frequency of the red light would be  2.88 × 10⁻¹⁹ Joules and 4.615 × 10¹⁴ Hz respectively if the red light has a wavelength of 650

nm.

What is Wavelength?

It can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.

C = λν

As given in the problem we have to calculate the energy of the light if the wavelength of light is 6.5 × 10⁻⁷ meters.

The frequency of the red  light = 3 × 10⁸ / 6.5 × 10⁻⁷

                                                    = 4.615 × 10¹⁴ Hz

The energy of the red light = h ν

                                             = 6.26 × 10⁻³⁴ × 4.615 × 10¹⁴

                                             = 2.88 × 10⁻¹⁹ Joules

Thus, the energy and frequency of the red light would be  2.88 × 10⁻¹⁹ Joules and 4.615 × 10¹⁴ Hz respectively.

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The half-life of phosphorus−33 is 25.0 days. How much of a 2.7−oz sample of phosphorus−33 will remain after 150 days?

Answers

If phosphorus-33 have an half-life of 25 days the amount of phosphorus-33 that will remain after 150 days is 0.042 oz.

What is half-life?

Half-life is the time taken for half the sample of a radioactive substance to decay.

To calculate the amount of phosphorus-33 that will remain after 150 days, we use the formula below.

Formula:

R' = R/[tex]2^{T/t}[/tex]........ Equation 1

Where:

R = Original amount of phosphorus-33R' = Amount of phosphorus-33 that will remain after 150  daysT = Total timet = half-life

From the question,

Given:

R = 2.7 ozT = 150 dayst = 25 days

Substitute these values into equation 1

R' = 2.7/([tex]2^{150/25[/tex])R' = 2.7/[tex]2^{6}[/tex]R' = 2.7/64R' = 0.042 oz

Hence the amount of phosphorus-33 that will remain after 150 days is 0.042 oz.

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Name the attatched alkene

Answers

Answer:

limonene molecule.

Explanation:

PLS HELP, IT’S DUE TODAY
In a nuclear fusion reaction, two small, light ___ (hydrogen atoms) combine under extreme __ and pressure to form one larger, heavier nucleus (helium).

Answers

Answer:

In a nuclear fusion reaction, two small, light 'nuclei' (hydrogen atoms) combine under extreme 'temperature' and pressure to form one larger, heavier nucleus (helium).

Ascorbic acid (vitamin C) is important in many metabolic reactions in the body, including the synthesis of collagen and prevention of scurvy. Given that themass percent composition of ascorbic acid is 40.9% C, 4.58% H, and 54.5% O, determine the empirical formula of ascorbic acid. Show all your work

Answers

Empirical formula:

Step 1

Information already provided

The mass percent composition:

40.9 % C

4.58 % H

54.5 % O

Information needed: from the periodic table

For C) 1 mol = 12.01 g

For H) 1 mol = 1.008 g

For O) 1 mol = 15.99 g

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

Step 2

A sample of 100 g is assumed, so:

40.9 % C => 40.9 g C

4.58 % H => 4.58 g H

54.5 % O => 54.5 g O

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

Step 3

Convert mass into moles:

40.9 g C x (1 mol/12.01 g) = 3.40 moles C

4.58 g H x (1 mol/1.008 g) = 4.54 moles H

54.5 g O x (1 mol/15.99 g) = 3.40 moles O

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

Step 4

All moles calculated in step 3 need to be divided by the smallest one.

3.40 moles C/3.40 moles = 1

4.54 moles H/3.40 moles = 1.33

3.40 moles O/3.40 moles = 1

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

Step 5

Integer numbers are needed, so let's multiply by 3 all of them in step 4

Therefore,

For C) 3

For H) 3.99 = 4 approx.

For O) 3

All these numbers calculated will be the subindexes in ascorbic acid

Answer:

Empirical formula: C3H4O3

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 given sample of gas is held in a container with the volume of 6.02 L with a temperature of 59.5℃ at a pressure of 1.20 atm. What is the final pressure

Answers

The final pressure of a sample of gas held in a container with a volume of 6.02 L and a temperature of 59.5℃ is 0.26atm.

How to calculate pressure?

The pressure of a given gas can be calculated using Boyle's law equation as follows:

P₁V₁ = P₂V₂

Where;

P₁ = initial pressureV₁ = initial volumeP₂ = final pressureV₂ = final volumeT₁ = initial temperatureT₂ = final temperature

According to this question, a given sample of gas is held in a container with the volume of 6.02 L with a temperature of 59.5℃ at a pressure of 1.20 atm. The final pressure can be calculated as follows;

At STP;

V = 22.4LT = 273K

1.2 × 6.02/332.5 = P × 22.4/273

0.0217 = 0.082P

P = 0.26atm

Therefore, 0.26atm is the final pressure of the gas.

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______ oil drop experiment measured the size of the ____ on the____ .

Answers

Millikan's oil drop experiment measured the size of the electric charge on the electron.

What is an Experiment?

This is referred to as a type of procedure which is carried out in other to accept or refute a hypothesis. Electron on the other hand, is the negatively charged subatomic particle which is present in an atom and are involved in the formation of new substances during a chemical reaction.

Millikan's oil drop experiment measured the size of the electric charge on the electron and used tiny drops of oil which helped in the calculation of the charge and the mass of an electron.

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

Answers

There are 0.0543 moles of C2H6O.

i need help with chemistry

Answers

Answer:

2.04×10^25

Explanation:

multiply with 10^9

A 7.94 g of solid CO2 (Dry ice) is allowed to sublime in a balloon. The final volume of the balloon is 1.00 L at 301 K. What is the pressure?

Answers

In order to find the pressure in this situation, we will be using the Ideal gas Law, which perfectly correlates these informations, the formula for this Law is:

PV = nRT

Where:

P = pressure, we want to find it

V = volume, 1.00 L

n = number of moles, we will also find it

R = is the gas constant, 0.082

T = 301 K

To find the number of moles, we need to use the mass provided in the question and also the molar mass of CO2, 44.01g/mol

44.01g = 1 mol

7.94g = x moles

x = 0.180 moles of CO2

Now we can use the ideal gas formula:

P * 1.00 = 0.180 * 0.082 * 301

P = 4.44 atm

Which of the following will not affect the rate of a reaction?nature of the reactantscolor of reactanttemperatureconcentration of a reactant

Answers

Answer:

Color of reactant. Option B is correct

Explanations:What is a rate of reactions?

This is defined as the speed at which a reaction takes place. It can be expressed in terms of the concentration of reactants or products formed per unit time.

The following are the factors that affects reaction rate.

- concentration of a reactant

- Temperature

- Nature of the reactant

- Surface Area

- Catalysts.

Based on the explanations above, we can conclude that the color of reactant will not affect the rate of a reaction

when a bunsen burner is properly adjusted, what should the flame look like?

Answers

when a bunsen burner is properly adjusted, the flame looks Blue with no gap between the burner and the flame.

A Bunsen burner is a particular kind of gas burner that is frequently utilized as a heat source in lab investigations. The barrel or chimney of the burner is made up of a straight tube that extends vertically from a flat base. At the bottom of the chimney, liquid petroleum gas, such as propane or butane, or natural gas, primarily methane, is delivered.

The base of the chimney on Bunsen burners typically has a hose barb installed so that rubber tubing may supply the gas from a gas nozzle on the lab bench.

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0.650 moles of O₂(g) are added to 1.00 L flask and the internal pressure ismeasured at 20.00 atm. What is the temperature of the gas under theseconditions (in *C)? ________ °C?

Answers

1) List the known and unknown quantities.

Sample: O2

Amount of substance: 0.650 mol O2.

Volume: 1.00 L.

Pressure: 20.00 atm.

Ideal gas constant: 0.082057 L * atm * K^(-1) * mol^(-1)

Temperature: unknown.

2) Set the equation.

Ideal gas law.

[tex]PV=nRT[/tex]

3) Plug in the known quantities and solve for T.

[tex](20.00\text{ }atm)(1.00\text{ }L)=(0.650\text{ }mol\text{ }O_2)(0.082057\text{ }L*atm*K^{-1}*mol^{-1})(T)[/tex][tex]T=\frac{(20.00atm)(1.00L)}{(0.650\text{ }mol\text{ }O_2)(0.082057\text{ }L*atm*K^{-1}*mol^{-1})}[/tex][tex]T=374.97\text{ }K[/tex]

4) Convert K to ºC.

[tex]ºC=K-273.15[/tex][tex]ºC=374.94-273.15[/tex][tex]ºC=101.81\text{ }ºC[/tex]

The temperature of the gas under these conditions is 101.81ºC.

.

A reaction take place between an acid and 0.5 grams of powdered magnesium. Which statement is true?A. The powdered magnesium reacts faster because the activation energy has been lowered.B. The magnesium tracts reacts faster because It has a higher concentration of magnesium.C. The powdered magnesium react faster because it has a greater surface area.D. The magnesium react faster it will create a higher temperature once the reaction starts

Answers

Explanation:

The rate of a reaction is defined as the rate of disappearance of reactants in a reaction or the rate of conversion of appearance of products during a reaction.

The rate of a reaction depends on the concentration of the reactants, the temperature of the reaction, the nature of reactants, and the presence or absence of catalysts during the reaction.

The surface of reactants comes into play. Reactants with high surface areas react faster than reactants with fewer surface areas. Hence, powdery reactants react faster than solid reactants.

Answer: C. The powdered magnesium react faster because it has a greater surface area.

35.A substance that affects the speed of a chemical reaction without itself being chemically changed is called a...Select one:a. catalyst.b. product.c. reactant.d. yield.

Answers

Answer

A. catalyst

Explanation

Catalyst, in chemistry, any substance that increases the rate of a reaction without itself being consumed.

Other Questions
a 7.0 g bullet is fired into a 1.5 kg ballistic pendulum. the bullet emerges from the block with a speed of 200 m/s, and the block rises to a maximum height of 11.7 cm. find the initial speed of the bullet. Where did general washington camp the continental army for training over the bitter winter of 1777-8?. 5. (20 x 5 + 10) - (8 8 - 4)=a. 58b. 50c. 40 What is 1/3 of the sum of 45 and a number is 16 Translated to algebraic equation suppose that a tcp segment has a lifetime of 2 minutes in the network. calculate the maximum transmission speed (bits/second) at which a host can send out 1460-byte tcp segments so that there will not be two tcp segments from the same sender with the same sequence number in the network, i.e., without having the tcp sequence numbers wrap around? Acid-Base Balance Cases pH = 7.50 CO2= 47 HCO3-= 32 Is it acidosis, alkalosis or neither? Is the problem respiratory or metabolic in nature? Metabolic in nature. Is there any compensation occurring? Has the body tried to fix the problem? 59.25 0.75 = 1.06 7.3 =on chart. will send image what economic and cultural issues led to protests against the chinese immigrants in california, and what foerign policy did the u.s. government adopt in response. What is the value of w?14w +12 = 180 for the last several weeks, you read through gracism by david anderson. from the readings, please share three ideas on how you can integrate the principles learned into engagement with minority, marginalized, and/or underserved populations. how is god calling you to minister to these populations? be specific and relate your response back to what you have gleaned from the gracism readings. in a basketball game Tatiana May 23 baskets each of the baskets was worth either two or three points and Tatiana scored a total of 53 points let x represent the number of two-point baskets she made and why represent the number of three-point baskets she made.part a write a system of equations represent the situation.part b would you use graphing or substitution to solve the system and determine the number of 2.3 point baskets Tatiana made? explain.part c use the method you chose in part b to solve the system and find out how many two point and 3-point baskets Tatiana made. Bert opened a savings account 4 years ago the account earns 13%interest compounded monthly if the current balance is 1,000.00 how much did he deposit initially What is the slope of the line that passes through the points (2,8) and (12, 20)? Write your answer in simplest form. Maxim has been offered positions by two car companies. The first company pays a salary of $12000 plus a commission of $800 for each car sold. The second pays a salary of $15600 plus a commission of $600 for each car sold. How many cars would need to be sold to make the total pay the same? the fixed cost in manufacturing a single led monitor is $40 and the variable cost is $12. if the company expects to manufacture 5,000 monitors, the total costs would be I will give brainliest. By the way, two people need to answer for someone to give brainliest.For the direct variation equation y=223x, what is the constant of proportionality?A: 2B: 2 2/3C: 2/3D: 3The equation y=7x gives the relationship between the number of road projects, x, and the number of weeks it takes a crew of workers to complete all the projects, y. What is the constant of proportionality? What does it mean in this context?A: The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.B: The constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects.C: The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.D: The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.Write a direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at a rate of 600 mph.A: 600 = 3xB: 3 = 600xC: y = 600/3D: y = 600 x 3Jamal earns $125,000 a year as a systems analyst. He wants to know how much he will earn if he continues at the same rate of pay for 7 years. Which equation will help him find this amount?A: x = 125,000/5B:125,000 = 7xC:125,000 = 7/xD: y = 125,000 x 7 7. The average human can hold 4.0 L of oxygen (O) in their lungs. At body temperature (37 C) and 110 kPa, how manymoles of gas is that? a woman has sought care because of recurrent urinary tract infections that have been increasing in both frequency and severity. which factor is likely to contribute to recurrent utis? What is the starting value of the exponential function below? In class, we determined that 11 peoplewould fit comfortably in a 5 ft by 5 ftsquare. How many square feet wouldeach person require?