Calculate the frequency and the energy of blue light that has a wavelength of 423 nm (Note => 423 nm = 4.23 * 10^7 m)

Answers

Answer 1

According to the Planck's equation,the energy and frequency of blue light are 4.699×10[tex]^-19[/tex] J and 2.363×10⁶ m[tex]^-1[/tex] respectively.

What is Planck's equation?

Max Planck discovered the theory which stated that energy is transferred in the form of discrete packs which are called quanta and thus proposed an equation called the Planck's equation which relates energy and frequency of a photon and is given as, E=hcυ or in terms of wavelength it is ,E=hc/λ.

The equation makes use of a constant which is called the Planck's constant and it's value is 6.626×10[tex]^-34[/tex] Js.

In the given problem, energy is calculated as,E=6.626×10[tex]^-34[/tex]×3×10⁸/4.23×10[tex]^-7[/tex]=4.699×10[tex]^-19[/tex] J.

The frequency  of light is calculated as follows,4.699×10[tex]^-19[/tex]/19.878×10[tex]^-26[/tex]=2.363×10⁶ m[tex]^-1[/tex].

Thus , the energy and frequency of blue light are  4.699×10[tex]^-19[/tex] J and 2.363×10⁶ m[tex]^-1[/tex] respectively.

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Related Questions

Write the correct formula for the following compound:

magnesium hydroxide

Answers

The formula of magnesium hydroxide is Mg(OH)2.

How magnesium hydroxide?

Magnesium hydroxide is an inorganic compound having the chemical formula of Mg(OH)2. It is present in nature as mineral brucite. It is a white solid substance with low solubility in water. Magnesium hydroxide is a component of antacids such as milk of magnesia. Extended use or overuse of this medication for constipation results in dependence on laxatives and constipation. Overuse of Magnesium hydroxide also causes diarrhea that does not go away, dehydration, and mineral imbalances. Severe nausea, vomiting, or diarrhea are the symptoms of using a high dose of magnesium hydroxide. After using a medicine such as a laxative, nausea, vomiting or diarrhea can be cured.

So we can conclude that Mg(OH)2 is the correct formula for magnesium hydroxide.

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Consider a solution containing 0.100 M fluoride ions and 0.126 M hydrogen fluoride. The concentration of fluoride ions after the addition of 10.00 mL of 0.0100 M HCl to 25.0 mL of this solution is ________ M.

Answers

The concentration of fluoride ions after the addition of 10.00 mL of 0.0100 M HCl to 25.0 mL of this solution is 0.009 M

One of the terms for concentration that is used frequently in solutions would be molarity. It would be explained as the number of moles of solute in one liter of solution.

Molarity can be determined by the formula:

Molarity = moles of solute/ volume of solution

Moles of the HCl can be determined by using the formula:

Moles of solute = molarity × volume of the solution.......(i)

It is given that,

Molarity = 0.0100 M.

Volume = 10.0 mL .

Put the value of given data in above equation:

Moles of solute = (0.0100 M) × (10.0 mL) ×([tex]10^{-3}[/tex]/1 mL)

Moles of solute =  [tex]10^{-7}[/tex] M

Now, determine moles of HF.

Moles of solute = (0.126 M) × (25 mL) ×([tex]10^{-3}[/tex]/1 mL)

Moles of solute = 0.00315 M

Total moles = 0.00315 M + 0.0000001 M =0.0031501 M

Total volume = 10.00 mL + 25 mL = 35 mL.

Molarity can be determined by the formula:

Molarity = moles of solute/ volume of solution

Molarity = 0.0031501 M / 35 (1/[tex]10^{-3}[/tex])

Molarity = 0.009 M

Therefore, molarity will be 0.009 M.

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how does a catalyst increase the rate of a reaction?

Answers

Answer:

Reducing the activation energy and providing an alternative reaction pathway for the reaction to happen

Explanation:

A lower activation energy means that reactants will need less energy to successfully react to make products, meaning that more successful collisions will happen between reactants, increasing the rate of reaction

A catalyst reduces the activation energy of the reaction, speeding it up. By decreasing the activation energy, the energy hurdle that must be cleared for a chemical reaction to take place, catalysts improve the efficiency of this process.

What is catalyst ?

By decreasing the activation energy, the energy hurdle that must be cleared for a chemical reaction to take place, catalysts improve the efficiency of this process.

As a result, catalysts facilitate the formation of chemical bonds between atoms to create novel combinations and new compounds.

A catalyst is a chemical that may be included in a reaction to speed up the process without being consumed. Typically, catalysts shorten the activation energy of a process or alter its mechanism. Proteins called enzymes serve as catalysts in biological processes.

Thus, the catalyst reduces the activation energy of the reaction, speeding it up

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A chicken egg has mass 60g. It's shell makes up 10% of the whole egg. The shell is made of Calcium Carbonate; CaCO3. What is the mass of the Ca/ Calcium in the egg shell?​

Answers

60g•0.10=6g This is the mass of the egg shell
CaCO3: 100.09g
Ca: 40.08g
C: 12.01g
O: 16.00g•3=48.00g
Find the percentage of Ca found in Calcium Carbonate
40.08g of Ca/100.09g of CaCO3=0.40
.4•6g of CaCO3=2.4g of Ca

The energy released when a nucleus forms is calledQuestion 26 options: enthalpy. atomic mass. a becquerel. binding energy.

Answers

The correct answer in this case is binding energy, which is the energy released when a collection of nucleons form a nucleus.

The correct answer is the last choice.

After conditions changed to a volume of a sample of helium at 15.56 mL, 138.7°C and 334.6 kPa. What was its initial volyme at 63.2 °C and 57.3 kPa?O a. 74.2O b. 41.4O c. 2.18O d. 111

Answers

Answer

a. 74.2

Explanation

Given that:

The initial temperature, T₁ = 63.2 °C + 273 = 336.2 K

Initial pressure, P₁ = 57.3 kPa

The final volume, V₂ = 15.56 mL

Final temperature, T₂ = 138.7°C + 273 = 411.7 K

Final pressure, P₂ = 334.6 kPa

What to find:

The initial volume, V₁.

Step-by-step solution:

The initial volume, V₁ can be calculated using the combined gas law equation.

[tex]\begin{gathered} \frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2} \\ \\ V_1=\frac{P_2V_2T_1}{P_1T_2}=\frac{334.6kPa\times15.56mL\times336.2K}{57.3kPa\times411.7K} \\ \\ V_1=\frac{1750383.611\text{ }mL}{23590.41}=74.2\text{ }mL \end{gathered}[/tex]

Hence, its initial volume at 63.2 °C and 57.3 kPa is 74.2 mL

The combustion of glucose is represented by the following balanced equation:

Answers

In order to find limiting and excess reactants, we need to first, set up the equation, and it must be properly balanced:

C6H12O6 + 6 O2 -> 6 H2O + 6 CO2

1 gram of C6H12O6

1 gram of O2

From the balanced equation, we see that the molar ratio between C6H12O6 and O2 is 1:6, this means that 1 mol of C6H12O6 will react with 6 times the number of moles of O2

Now let's find the number of moles of C6H12O6, the molar mass is 180.16g/mol

180.16 g = 1 mol

1 g = x moles

x = 0.005 moles of C6H12O6, now we will need this number of moles times 6 in order to proceed with the reaction

1 C6H12O6 = 6 O2

0.005 C6H12O6 = x O2

x = 0.03 moles of O2

And this amount of moles with the molar mass of O2, which is 32g/mol

32 g = 1 mol

x grams = 0.03 moles

x = 0.96 grams of O2 in 0.03 moles

Since we have more oxygen than what we actually need, Oxygen is in excess and C6H12O6 is the limiting reactant

How many moles of H2 is needed to produce 12 moles of NH3

Answers

The balanced reaction is:

[tex]N_2+3H_2\rightarrow2NH_3[/tex]

According to this, 3 moles of H2 produce 2 moles of NH3. Use this ratio to find the number of moles of NH3 produced:

[tex]12molNH_3\cdot\frac{3molH_2}{2molNH_3}=18molH_2[/tex]

It means that 18 moles of H2 are needed to produce 12 moles of NH3

How do I write the Empirical Formula for: A compound composed of: 9.93% carbon, 58.6% chlorine, and 31.4% fluorine

Answers

The empirical formula for a compound composed of 9.93% carbon, 58.6% chlorine, and 31.4% fluorine is CCl₂F₂.

To write the empirical formula, let us assume that total mass of the compound is 100 g, then-

Mass of carbon = 9.93 g

Mass of chlorine = 58.6 g

Mass of fluorine = 31.4 g

We know that,

Molar mass of Carbon = 12.0 g/mol

Molar mass of Chlorine = 35.5 g/mol

Molar mass of Fluorine = 18.9 g/mol

Now, we will calculate the number of moles of each using the formula -

Number of moles = Given mass

                                 Molar mass

Moles of Carbon =   9.93 g     = 0.82 mol

                               12.01 g/mol

Moles of Chlorine =    58.6 g     = 1.65 mol

                                 35.5 g/mol

Moles of fluorine =    31.4 g     = 1.66 mol

                                18.9 g/mol

Now, divide each value with the smallest amount of mole we got,

carbon = 0.82 = 1

               0.82

chlorine = 1.65 =  2

                 0.82

fluorine = 1.66 = 2

                0.82

Therefore, the empirical formula of the compound can be written as - CCl₂F₂

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I get 11 pls help and see if I’m right

Answers

Answer

None of these

Explanation

The option for 2-bromo-5propylbenzaldehyde does not seem to be provided

Which of the following best describes what happens when salt dissolves in water?A.) The polar solvent molecules surround the positive sodium ions.B.) The polar solvent molecules surround the positive sodium ions and the negativechloride ions.C.) The solute and solvent molecules form a crystalline structure.D.) The solute and solvent molecules do not interact.

Answers

When salt dissolves in water, dissociation occurs. This dissociation forms two ions, one positive and one negative. Water is polar and its molecules has poles negatives and positives. So positive poles of water will surround the negative ions. While negative poles will surround the positive ions.

Answer: Alternative "B"

number of litres of gas in 4.51 mol Xe

Answers

First, we assume STP conditions and Ideal gas conditions.

In STP conditions, we say that:

1 mol of any gas = 22.4 L (liters)

Procedure:

1 mol Xe ------ 22.4 L (STP)

4.51 moles Xe ------- X

X = 101 L

Answer: 101 L

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

If a volcano erupts and ejects 12.5 moles of sulfur into the atmosphere how many atoms of sulfur is this

Answers

In this question, we have to find the number of atoms in 12.5 moles of Sulfur, and the way to do it is by using the Avogadro's number, which is 6.02*10^23 atoms, this value represents how many atoms we have in 1 single mol of any element. Therefore in 12.5 moles we will have:

1 mol = 6.02*10^23 atoms

12.5 moles = x atoms

x = 7.52*10^24 atoms of Sulfur in 12.5 moles

what are the limiting and excess reactants when 3.22 moles of Al react with 6.96 moles of HBr

Answers

Answer

HBr is the limiting reactant

Al is the excess reactant.

Explanation

Given:

Moles of Al = 3.22 mol

Moles of HBr = 6.96 mol

Equation: 2 Al + 6 HBr → 2 AlBr₃ + 3 H₂

What to find;

The limiting and excess reactants.

Solution:

Note: The limiting reactant is the reactant that is completely used up in a reaction, and thus determines when the reaction stops. While the excess reactant is the opposite.

From the given balanced chemical equation;

2 moles of Al require 6 moles of HBr

Therefore, the given 3.22 moles of Al will require (3.22/2) x 6 = 9.66 moles of HBr

Since the given moles of HBr is 6.96 mol not up to 9.66 moles required, then HBr is the limiting reactant and Al is the excess reactant.

HBr is the limiting reactant

Al is the excess reactant.

What is the mass of 9.50 moles of magnesium chloride, MgCl2 ?'

Answers

The actual mass is 904.4g but with correct number of sig figs it’s 904g.

2. Suppose you are testing the gas in laboratory. If you inserted the burning magnesium ribbon inside the gas jar and magnesium ribbon burnt completely and formed light yellow ash as residue, then which gas was there in the gas jar and what is the name of compound present in yellow ash?​

Answers

When the magnesium ribbon is burned, it enters the carbon dioxide gas jar and continues to burn. The carbon is left behind as a black soot and extra energy is released as a result of the reaction where the magnesium atoms join the oxygen in the carbon dioxide to form magnesium oxide.

Magnesium ribbon is used in pyrotechnics to ignite thermite reactions or to create certain firework mixes. One of the most popular techniques to start chemical reactions that need a higher temperature to ignite is with magnesium ribbon.The light produced by the burning magnesium ribbon is strong enough to temporarily impair vision. Avert looking at the light source directly. Magnesium combustion in air generates strong heat that can result in burns and start the combustion process in combustible materials.

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UESTION 14nsider the compound XF. Which of the following is true about the compound?A. If XF is covalent, X could be a metal.B. If XF is ionic, X could be a nonmetal.C. If XF is covalent, the name uses prefixes.D. If XF is covalent, X has a charge of +1.QUESTION 15What are the values of x and y in the compound Agx(CO3)y?O AX= 1, y = 2B. x = 3, y = 1OC. x = 3, y = 2O D.X = 2, y = 1

Answers

a. If XF is covalent, X couldn't be a metal. Because covalent bonding occurs between nonmetals. So this alternative is False.

b. If XF is ionic, X could be a nonmetal. Also False. Ionic bonding occurs between a metal and a nonmetal. In this case, we already have a nonmetal, which is F.

c. If XF is covalent, the name uses prefixes. True. When we have a covalent compound, the name of the nonmetal on the left has a prefix indicating the number of atoms of it.

d. If XF is covalent, X has a charge of +1. False. This would happen if it was ionic.

Answer: Alternative "C"

What is the total pressure in kPa exerted by a mixture containing two gases if the partial pressure of one gas is 64 kPa and the partial pressure of the other gas is 50.8 kPa?

Answers

Dalton's Law or Law of Partial Pressures says that the total pressure of a mixture of gases is equal to the sum of the partial pressures of each gas that composes it. The partial pressure of a gas on the other hand is defined as the pressure it would exert if it were alone in the container.

So we need to sum all the values:

64 + 50.8 = 114.8 kPa

Answer: 114.8 kPa

Which of the following is an element located in group 17?
a) Ne
b) Li
c) Mn
d) Br

Answers

Answer:

D- Br

Explanation:

A bike rides at an average speed of 25 km/h. How many minutes will it take for this rider to ride a distance of 20 km?

Answers

Answer:

48 minutes

Explanation:

60 divided by 25 equals 2.4 then you times 2.4 by 20

A 5.325-gram sample of methyl benzoate, a compound used in the manufacture of perfumes, is found to contain 3.758 g carbon, .316 g hydrogen, and 1.251 grams of oxygen. What is the empirical formula for this substance?

Answers

Answer

The empirical formula for the compound is C₄H₄O₁

Explanation

Given:

Mass composition: 3.758 g carbon, 0.316 g hydrogen, and 1.251 grams oxygen.

What to find:

The empirical formula for the substance.

Step-by-step solution:

The first step is to convert the number of grams of each element into moles as shown below using the molar masses of H = 1.00784 g/mol and C = 12.011 g/mol and O = 15.999 g/mol

Note: Mole = Mass/Molar mass

Moles C = 3.758g/12.011 g/mol = 0.31 mol

Moles H = 0.316g/1.00784 g/mol = 0.31 mol

Moles O = 1.251g/15.999 g/mol = 0.078 mol

Now, let's divide the number of moles of each element by the smallest number obtained:

C = 0.31/0.078 = 4

H = 0.31/0.078 = 4

O = 0.078/0.078 = 1

The empirical formula for the compound is C₄H₄O₁

3. 135 g of ice is placed in a beaker of water. The water temperature in the beaker is 67 °C. After all the icemelts, the final water temperature in the beaker is 19.7 °C. 4 ptsHeat of fusion for water = 334 J/g. Specific heat of water = 4.184 J/g °C. T2-T1 = 47.3 °C.Note there are a couple different ways to solve this problems to sove this por(a) Determine the initial volume of water in the beaker (before the ice was added).(b) Determine the final volume of water in the beaker (after all the ice has melted).

Answers

Answer:

Explanation:

Answer to the 1st one. I have my doubts for the second one so didn't post :)

How many liters of oxygen gas at STP are required to react with 30.25 g of aluminum in the production of aluminum oxide?

Answers

Answer:

18.82L of oxygen gas are needed.

Explanation:

1st) It is necessary to write and balance the chemical reaction:

[tex]3O_2+4Al\rightarrow2Al_2O_3[/tex]

2nd) From the balanced reaction, we can see that 3 moles of oxygen gas (O2) react with 4 moles of aluminum (Al). To convert moles to grams, it is necessary to use the molar mass of oxygen (32g/mol) and aluminum (27g/mol):

- O2 conversion:

[tex]\begin{gathered} 1mol-32g \\ 3mol-x=\frac{3mol*32g}{1mol} \\ x=96g \end{gathered}[/tex]

- Al conversion:

[tex]\begin{gathered} 1mol-27g \\ 4mol-x=\frac{4mol*27g}{1mol} \\ x=108g \end{gathered}[/tex]

Now we can see that 96g of O2 react with 108g of Al.

3rd) We have to calculate the grams of O2 that will react with 30.25g of Al:

[tex]\begin{gathered} 108gAl-96gO_2 \\ 30.25gAl-x=\frac{30.25gAl*96gO_2}{108gAl} \\ x=26.89gO_2 \end{gathered}[/tex]

Using the molar mass of oxygen, we know that 26.89g represent 0.84 moles of O2.

4th) Finally, a mole of a gas at STP conditions occupies a volume of 22.4L. With this number and the moles of oxygen gas, we can calculate the liters:

[tex]\begin{gathered} 1mol-22.4L \\ 0.84mol-x=\frac{0.84mol*22.4L}{1mol} \\ x=18.82L \end{gathered}[/tex]

So, 18.82L of oxygen gas are needed.

Given the equation below, how many moles of nitrogen gas (N2) areneeded to react with 7.5 moles of hydrogen gas (H2)?N2+ 3H2 —>2 NH3

Answers

Answer

2.5 moles of N₂ are needed to react with 7.5 moles of hydrogen gas

Explanation

Given:

Equation: N₂ + 3H₂ → 2NH₃

Moles of H₂ = 7.5 moles

What to find:

The moles of nitrogen gas (N₂) needed to react with 7.5 moles of hydrogen gas

Step-by-step solution:

Let the mole of N₂ needed be x.

From the given balanced chemical equation:

3 moles of H₂ react with 1 mole of N₂

Therefore, 7. 5 moles of H₂ will react with x moles of N₂

Cross multiply

[tex]\begin{gathered} x\text{ moles }N_2\times3\text{ moles H}_2=7.5\text{ moles H}_2\times1\text{ mole N}_2 \\ \text{Divide both sides by 3 moles H}_2 \\ \frac{x\text{ moles }N_2\times3\text{ moles H}_2}{3\text{ moles H}_2}=\frac{7.5\text{ moles H}_2\times1\text{ mole N}_{2}}{3\text{ moles H}_2} \\ x\text{ moles }N_2=2.5\text{ moles} \end{gathered}[/tex]

determine the number of significant figures in each of the following numbers.1.) 32.05 =2.) 36541 =3.) 300,012,345 =4.) 36,000 =5.) 100 =6.) 100.0 =7.) 1,0000 =8.)250 =9.) 250. =10.) 407 =

Answers

we are required to determine the significant figures in each of the numbers.

1) 4 significant figures

2) 5 significant figures

3) 9 significant figures

4) 5 significant figures

5) 3 significant figures

6) 4 significant figures

7) 5 significant figures

8) 3 significant figures

9) 3 significant figures

10) 3 significant figures

What is the number of formula units in a 9.21 mol sample of CaO ?

Answers

Answer:

5.546262 x 10^24 formula units

Explanation:

Use avogadro's number

9.21 mol CaO ((6.022 x 10^23 formula units CaO)/1 mol CaO)) = 5.546 x 10^24.

I rounded to 3 sig figs.

what is the volume (in L) in a cylinder filled with 23.0 g of N2 gas at a temperature of 65 C and a pressure of 2.37 atm?

Answers

The volume of the cylinder filled with 23.0 g of N₂ gas at a temperature of 65 °C and a pressure of 2.37 atm is 9.6 L

Given that,

Mass of the nitrogen gas in the cylinder (m) = 23 g

Temperature (T) = 65 ℃ = 65 + 273 = 338 K

Pressure (P) = 2.37 atm

R (gas constant) = 0.082057338 L.atm.K⁻¹.mol⁻¹

In Ideal gas law or general gas equation,

PV = nRT

Number of moles in nitrogen (n) = Given mass (m) of nitrogen/ Molar mass of nitrogen

Given mass (m) = 23 g

Molar mass of Nitrogen = 28 g/mol

Number of moles of nitrogen (n) = 23 / 28 = 0.82 moles of nitrogen

PV = nRT

2.37 * V = 0.82 * 0.0821 * 338

2.37 * V = 22.75

V = 22.75 / 2.37

V = 9.6 L

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Which equation is balanced?
O 2Fe +02 → 2Fe2O3
O 3Fe +302 → 3Fe2O3
O 4Fe +302 → 2Fe2O3
O Fe +0₂ Fe₂O3

Answers

Answer:

C) 4Fe + 3O2 → 2Fe2O3

Explanation:

For this question, first you would go through all the options and make sure that there is an equal amount of elements on each side.

For the first option: 2Fe +02 → 2Fe2O3

You have only 2Fe atoms and 2O atoms on your reactant side and 4Fe and 6O atoms on your product side. This is not balanced.

For option b: 3Fe +302 → 3Fe2O3

You have 3Fe and 6O atoms on your reactant side while on your product side you have 6Fe and 6O atoms. This is not balanced.

For option c: 4Fe +302 → 2Fe2O3

You have 4Fe and 6O atoms on your reactant side and 4Fe and 6O atoms on your product side. This is balanced!

For option d: Fe +0₂ → Fe₂O3

You have 1Fe and 2O atoms on your reactant side and 2Fe and 3O atoms on your product side. This is not balanced.

***Remember to multiply the subscript of an element by their coefficient (number in front of molecule) if there is any.

When 29.0 g of butane reacts with oxygen, 88.0 g of carbon dioxide and 45.0 g of water are produced. What mass of oxygen reacted with the butane?

Answers

We need to first write the balanced equation:

[tex]2C_4H_{10}+13O_2\rightarrow8CO_2+10H_2O[/tex]

we are given the following:

mass of butane = 29.0 g

mass of carbon = 88.0 g

mass of water = 45.0 g

We want the mass of O2 that reacted.

C4H10 is the limiting reactant, and we know the masses of products produced. We can use that to find out how much oxygen reacted.

We can use CO2:

number of moles of CO2 = 88.0/44.01 = 1.9995 mol

The molar ratio between O2 and CO2 is 13:8

Therefore the number of moles of O2 = 1.9995 x (13/8) = 3.249 mol

Now that we have the number of moles, we can calculate the mass.

m = n x M

m = 3.249 mol x 31.998 g/mol

m = 103.97 g

Other Questions
your calibration curve will be generated using absorbance and concentration data. however, you collected %transmittance data in the lab. could you use a plot of %transmittance versus concentration to generate a calibration curve? why or why not? Define table represents grouped frequency distribution of the number of hours found computer per week for49 students. What is the value of the upper class limit of the fifth class Solving a present makes your problem using a system of linear equations what is the radius of the circle? A celebrity tells the paparazzi where to be so they can be photographed with their newest date: the son of apolitician who opposes the type of media the celebrity appears in. What marketing concept MOST closely describesthe celebrity's actions?push marketingpull marketingObuzzOhype 35* 35. Which of the following values for r suggests that one variable causes another? A. -0.7 B. O C. 0.9 D. None of the above Calculate the height of an image in a converging lens with a height of 6.1 cm, an image location of 6.2 cm, and a distance of 3.6 cm for the object's placement from the lens. Final answer will have 2 decimal places and might not follow sig fig rules. If all planets were the same distance from the sun, which would have the largest gravitational force between itself and the sun? Why? find the area of the figure below, composed of a rectangle with two semicircles removed. explain how you got the answer Determine whether each function is quadratic function by graphF(x) = 1/2 x - 4 Which pair of statements about the lengths of two sides of the triangle is true? 10 9 8 D (8,7) 7 ) 4 3 2 1 X F(6, 1) 2 3 4 5 6 E (8.1) 8 9 10 1 7 O A. The side length between Dand Eis 7 units. The side length between Eand Fis 2 units. O B. The side length between D and Eis 6 units. The side length between E and Fis 2 units. O C. The side length between D and Eis 2 units. The side length between E and Fis 6 units. O D. The side length between D and Eis 8 units. The side length between Eand Fis 1 units. A store is having a sale on jelly beans and trail mix today. The table below shows the amount of each type of food (in pounds) and the total cost (in dollars) of two purchases today.Let x be the cost (in dollars) for each pound of jelly beans.Let y be the cost (in dollars) for each pound of trail mix.please refer to the image Read and choose the option with the correct answer.Client: Cunto cuesta la cmoda verde?Vendor: Cuesta noventa y ocho mil pesos.Client: Es cara para mi presupuesto. Tiene una ms barata?Vendor: Tengo una marrn y rosada. Cuesta quince mil pesos.Client: Me gusta. Vende por diez mil?Vendor: No puedo. Doce mil pesos. Precio final.The main idea of this dialogue is ________. the bargaining between both people the contract signed between both people the cost and color of the furniture the lowest cost of the first asking price Corbie earns $2750 paid once a month after taxes.James gets paid every other week for tutoring at thelocal library, and his smallest paycheck in the past sixmonths was $280.Their monthly rent for their home is $925 and their mostexpensive month for combined utilities last year cost$325. Their smartphones cost $180 per month. Theyspend $120 per week on groceries, $45 per week ongas,and $620 per month for their car's payment,insurance, and maintenance savings. James spends$600 per semester (twice a year) for college tuition.They each give themselves a $100 per week allowancefor personal expenses such as clothes, haircuts, diningout, and entertainment.Calculate their prorated monthly amounts, their monthlytotals, and their cash flow. Determine which of the following statements are correct regarding the difference between physical flow and the cost flow of goodsa.Perishable items must have an actual physical flow of FIFOb. A business may adopt any cost flow assumption when accounting for perishable itemsc.Cost flow is an assumption about which goods/times are soldd. Physical flow is focused on the actual movement of goods karl lashley studied the effects of various-sized cortical lesions on maze performance in rats. he concluded that the memory deficits were correlated with the size of the lesion but not the location and hypothesized that all cortical areas contribute equally to learning and memory. what is the current help me please I will give who is right briniest (4 to the 3rd power * 4 to the 6 power)to the 5th power What event brought widespread religious interest to the southern colonies?