Given the wavelength of the corresponding emission line, calculate the equivalent radiated energy from n = 4 to n = 2 in both joules and electron volts. Also, calculate the frequency of the wave. λ (Á) = 4861, ƒ(Hz), E(J), E(eV)

Answers

Answer 1

Explanation:

It is given that,

Initial orbit of electrons, [tex]n_i=4[/tex]

Final orbit of electrons, [tex]n_f=2[/tex]

We need to find energy, wavelength and frequency of the wave.

When atom make transition from one orbit to another, the energy of wave is given by :

[tex]E=-13.6(\dfrac{1}{n_f^2}-\dfrac{1}{n_i^2})[/tex]

Putting all the values we get :

[tex]E=-13.6(\dfrac{1}{(4)^2}-\dfrac{1}{(2)^2})\\\\E=2.55\ eV[/tex]

We know that : [tex]1\ eV=1.6\times 10^{-19}\ J[/tex]

So,

[tex]E=2.55\times 1.6\times 10^{-19}\\\\E=4.08\times 10^{-19}\ J[/tex]

Energy of wave in terms of frequency is given by :

[tex]E=hf[/tex]

[tex]f=\dfrac{E}{h}\\\\f=\dfrac{4.08\times 10^{-19}}{6.63\times 10^{-34}}\\\\f=6.14\times 10^{14}\ Hz[/tex]

Also, [tex]c=f\lambda[/tex]

[tex]\lambda[/tex] is wavelength

So,

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{6.14\times 10^{14}}\\\\\lambda=4.88\times 10^{-7}\ m\\\\\lambda=488\ nm[/tex]

Hence, this is the required solution.

Answer 2

f(Hz) = 6.17 × 10¹⁴

E(J) = 4.09 × 10⁻¹⁹

E(ev) = 2.56


Related Questions

Select the correct answer.
Which of these conditions would most likely cause a decrease in the population of any species?
ОА.
increased competition for resources
improved access to mates
OC.
elimination of predators
OD
decrease in pathogens



Answer(A increased competition for resources




Hope you get it right have a nice day

Answers

Answer:

A. increased competition for resources

Explanation:

Answer:
A. Increased competition for resources

What indicates how much of each reactant will be used up in a reaction?
A. The total moles of product
B. The molar mass of each element
C. The masses of final product
D. The coefficients of a balanced reaction

Answers

Answer:

D. The coefficients of a balanced reaction

Explanation:

Just took an a pex quiz

(I picked C and got it incorrect)

The coefficients of a balanced reaction. Hence, option D is correct.

What is a balanced equation?

A balanced equation is a chemical reaction in which the number of atoms for each element in the reaction and oxidation numbers are the same for both the reactants and the products.

To adjust the substance condition, you need to ensure the number of molecules of every component on the reactant side is equivalent to the number of particles of every component on the item side.

To make the two sides equal, we need to duplicate the number of particles in every component until the two sides are equivalent.

Hence, option D is correct.

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Which of the following is the best explanation for why it is important to follow lab safety guidelines
a. Following laboratory safety guidelines prevents all lab accidents.
b. Following laboratory safety guidelines minimizes the chance of lab ac
C. Following laboratory safety guidelines prevents fires.
d. Following laboratory safety guidelines allows quick response during la
Please select the best answer from the choices provided

Answers

Answer:

B

Explanation:

The main aim of lab rules is to minimize the no of accidents

What is the total energy change for the following reaction:CO+H2O-CO2+H2

Answers

Answer:

[tex]\large \boxed{\text{-41.2 kJ/mol}}[/tex]

Explanation:

Balanced equation:    CO(g) + H₂O(g) ⟶ CO₂(g) + H₂(g)

We can calculate the enthalpy change of a reaction by using the enthalpies of formation of reactants and products

[tex]\Delta_{\text{rxn}}H^{\circ} = \sum \left( \Delta_{\text{f}} H^{\circ} \text{products}\right) - \sum \left (\Delta_{\text{f}}H^{\circ} \text{reactants} \right)[/tex]

(a) Enthalpies of formation of reactants and products

[tex]\begin{array}{cc}\textbf{Substance} & \textbf{$\Delta_{\text{f}}$H/(kJ/mol}) \\\text{CO(g)} & -110.5 \\\text{H$_{2}$O} & -241.8\\\text{CO$_{2}$(g)} & -393.5 \\\text{H$_{2}$(g)} & 0 \\\end{array}[/tex]

(b) Total enthalpies of reactants and products

[tex]\begin{array}{ccr}\textbf{Substance} & \textbf{Contribution)/(kJ/mol})&\textbf{Sum} \\\text{CO(g)} & -110.5& -110.5 \\\text{H$_{2}$O(g)} &-241.8& -241.8\\\textbf{Total}&\textbf{for reactants} &\mathbf{ -352.3}\\&&\\\text{CO}_{2}(g) & -393.5&-393.5 \\\text{H}_{2} & 0 & 0\\\textbf{Total}&\textbf{for products} & \mathbf{-393.5}\end{array}[/tex]

(c) Enthalpy of reaction [tex]\Delta_{\text{rxn}}H^{\circ} = \sum \left( \Delta_{\text{f}} H^{\circ} \text{products}\right) - \sum \left (\Delta_{\text{f}}H^{\circ} \text{reactants} \right)= \text{-393.5 kJ/mol - (-352.3 kJ/mol}\\= \text{-393.5 kJ/mol + 352.3 kJ/mol} = \textbf{-41.2 kJ/mol}\\ \text{The total enthalpy change is $\large \boxed{\textbf{-41.2 kJ/mol}}$}[/tex]

A platinum resistance thermometer has resistances of 160.0 when placed in a 0°C ice bath and 243.8 when immersed in a crucible containing a melting substance. What is the melting point of this substance? (Hint: First determine the resistance of the platinum resistance thermometer at room temperature, 20°C.)

Answers

Answer:

the melting point T = 125.36°C

Explanation:

Given that:

The resistance of a platinum thermometer at  0°C is  [tex]R_o[/tex] = 160.0 ohms

The resistance of a platinum thermometer when immersed in a crucible containing a melting substance [tex]R_t[/tex] = 243.8 ohms

The temperature coefficient at room temperature  20°C = ∝ = 0.00392

The objective is to determine the melting point of this substance

To do that ; at 20°C, the resistance of the platinum thermometer can be calculated as follows:

[tex]R_{20} = R_o(1 + \alpha \Delta T)[/tex]

[tex]R_{20} = 160(1 + (0.00392 \times (20-0)^0C))[/tex]

[tex]R_{20} = 160(1 + (0.00392 \times (20))[/tex]

[tex]R_{20} = 160(1 + (0.0784)[/tex]

[tex]R_{20} = 160(1.0784)[/tex]

[tex]R_{20} = 172.544 \ ohms[/tex]

The resistance of the platinum thermometer at t°C , [tex]R_t[/tex] = [tex]R_{20}(1 + \alpha \Delta T)[/tex]

[tex]243.8 = 172.544(1 + 0.00392 \times (T-20)^0C}[/tex]

[tex]\dfrac{243.8}{ 172.544 }= (1 + 0.00392 \times (T-20)^0C}[/tex]

[tex]1.413 = (1 + 0.00392 \times (T-20)^0C}[/tex]

[tex]1.413-1 = 0.00392 \times (T-20)^0C}[/tex]

[tex]0.413 = 0.00392 \times (T-20)^0C}[/tex]

[tex]\dfrac{0.413 }{0.00392} = (T-20)^0C}[/tex]

105.36°C = (T - 20) °C

T = 105.36°C + 20 °C

T = 125.36°C

Select all the correct answers.
What does an increase in the temperature of air indicate?

Answers

Answer:

a.the air has less thermal energy so that the temperature increases

what is the valency of hydroxide​

Answers

Answer:

Its valancy is 1.

As it has the formula OH-.

It has valancy 1.

hope it helps..

Which Group has different numbers of valence electrons?
A. Alkaline earth metals
B. Alkali metals
C. Transition metals
D. Halogens

Answers

Answer:

[tex]c. \: transition \: metals[/tex]

Transition metals (Group C) have different numbers of valence electrons compared to the other groups mentioned. Therefore option C is correct.

Transition metals (Group 3-12) have varying numbers of valence electrons. This is because their valence electrons are located in more than one energy level or subshell.

The number of valence electrons for transition metals can range from 1 to 12, depending on the specific element within the group. The varying numbers of valence electrons in transition metals contribute to their diverse chemical properties and ability to form multiple oxidation states.

Therefore, transition metals (Group C) have different numbers of valence electrons compared to the other groups mentioned.

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why the filament of bulb has high melting point​

Answers

Answer:

The filament of a bulb has a high melting point because of the heat generated inside the bulb.

Explanation:

When electricity is concentrating and run through a bulb, it starts to generate heat. Leave it on long enough and it will start to build up a lot of heat. Have you ever tried touching a light bulb when it has been all day? It's scorching to the skin.

Since electricity generates heat, the bulb's filament has to have a high melting point so it doesn't melt, destroy the bulb, and leave you light-less. If the filament has a high melting point, then it is able to withstand heat generated by electricity and provide you light.

What percentage of the total incoming radiation to the Earth reaches the ground? 20 30 40 70

Answers

Answer: 22.5 percent of incoming solar radiation goes directly to the surface of the Earth and is absorbed.

Explanation: Transfer of radiation through a planet's atmosphere. A planet and its atmosphere, in our solar system, can radiate back to space only as much energy as it absorbs from incoming solar radiation.

Answer:

Explanation:

I have the notes

"Only about 40 percent actually reaches the surface of the earth"

"our atmosphere and clouds reflect bout 40 percent of incoming solar radiation back into outer space"

"The remaining 60 percent is responsible for warming the earth"

"About 20 percent of this radiation is absorbed directly by the atmosphere"

What's the valency of sulphur for NaHSO4 and why?​

Answers

Explanation:

According to the periodic table, it has 6 valance electrons in its outermost shell of an atom. so, the valancy must be 2.

we usually subtract the valancy from 8 to no. of electrons if no. of electrons in its outermost shell is more than 5.

so, 8-6=2

is the valancy of sulpher here.

Calculate mole fraction of ethylene
Glycol in solution
containing 20% g C2H6O2 by mass.​

Answers

Answer:

Explanation:

20% of C2H6O2 

since its a solution, this means that it has 20g of ethylene glycol and the rest is water.

Molar mass of C2H6O2 = (12 x 2) + (1 x 6) + (2 x 16)

                                        = 62

mole = mass/molar mass

Moles of C2H6O2 = 20/62

                               = 0.322 mol

Moles of water = 80/18

                         = 4.444 mol

mole fraction = mol of solute / tatal mol of solution

Mole fraction of ethylene glycol = 0.322/(0.322 + 4.444)

                                                      = 0.068

Mole fraction of water = 1 - 0.068

                                     = 0.932

When the name of ions end with ide, is it true that they are all negative ions

Answers

Yes, from all the examples I can think of
Negative: Chloride, Bromide, Iodide
Positive: Sodium, Silver, Mercury

Help me pls!
What is heliuim?​

Answers

Answer:

it's a chemical Element

Explanation:

symbol He

atomic number 2.

the chemical element of atomic number 2, an inert gas which is the lightest member of the noble gas series.

The reaction between hydrogen gas and chlorine gas produces hydrogen chloride according to the following equation: H2(g) + Cl2(g) → 2HCl(g). Using the following bond enthalpies(D) calculate the enthalpy of reaction. D(H-H) =436 kJ/mol; D(Cl-Cl) = 243 kJ/mol D(H-Cl) = 432 kJ/mol

Answers

Answer:

The enthalpy of reaction is -185 kJ

Explanation:

To get the reaction:

 H₂(g) + Cl₂(g) → 2 HCl(g)

you must follow the following steps:

1)  Reactive molecules must break their bonds to obtain their atoms.

H₂(g) → 2 H(g)

Cl₂(g) → 2 Cl(g)

Bond energy (or enthalpy) is the energy required to break one mole of bonds of a gaseous substance. In the case of diatomic molecules with a single bond, it corresponds to the energy necessary to dissociate 1 mole of said substance in the atoms that form it.

Whenever you want to break links you must supply energy, so the link enthalpy will have positive values; while when a mole of bonds is formed energy is released and the bond enthalpy of this process will be negative.

In this case you will then have:

H₂(g) → 2 H(g)           ΔH=436 kJ/mol

Cl₂(g) → 2 Cl(g)         ΔH=243 kJ/mol

So the total energy needed to break all the bonds is:

ΔH=1 mol*436 kJ/mol +1 mol* 243 kJ/mol= 679 kJ

2) The atoms that were obtained in the break of the bonds must be combined to obtain the product.

2 H (g) + 2 Cl (g) → 2 HCl (g)

Being the single bond energy for one mole of 431 kJ H-Cl bonds and considering that two moles of H-Cl bonds are formed, the ΔH is:

ΔH = -2 moles* (432 kJ/mol) = -864 kJ

As mentioned, when a mole of bonds is formed energy is released, the bond enthalpy of this process will be negative.  So the formation of HCl is negative.

Hess's law states that the energy change in an overall chemical reaction is equal to the sum of the energy changes in the individual reactions comprising it. So:

ΔHtotal= -864 kJ + 679 kJ

ΔHtotal= -185 kJ

The enthalpy of reaction is -185 kJ

a 2.000-g sample of a hydrated copper sulfate is heated and the waters of hydration are removed if that mass of the remaining salt is 1.278 g what was the percentage of water in the original hydrate

Answers

Answer:

36.1%

Explanation:

The following data were obtained from the question:

Mass of hydrated copper sulfate = 2 g

Mass of anhydrous copper sulfate = 1.278 g

Percentage of water =..?

Next, we shall determine the mass of water in the hydrated copper sulfate.

This can be obtained as follow:

Mass of hydrated copper sulfate = 2 g

Mass of anhydrous copper sulfate = 1.278 g

Mass of water =...?

Mass of water = Mass of hydrated copper sulfate – Mass of anhydrous copper sulfate

Mass of water = 2 – 1.278

Mass of water = 0.722 g

Finally, we can obtain the percentage of water in the hydrated copper sulfate as follow:

Mass of water = 0.722 g

Mass of hydrated copper sulfate = 2 g

Percentage of water =..?

Percentage of water = mass of water /mass of hydrate x 100

Percentage of water = 0.722/2 x 100

Percentage of water = 36.1%

Therefore, the percentage of water in the hydrated copper sulfate is 36.1%

What are chemical changes of matter?

Answers

Answer:

Chemical Changes are also called Chemical Reactions. Chemical reactions involve combining different substances. The chemical reaction produces a new substance with new and different physical and chemical properties. Matter is never destroyed or created in chemical reactions.

Explanation:

A reaction is in equilibrium as shown: A + B C + D. Calculate the equilibrium constant in the final concentrations stabilized at: A= 9.6 M B= 10.0 M C= 4.0 M D= 4.0 M K =

Answers

Answer:

K = 0.167

Explanation:

The equilibrium constant, K of a reaction, is defined as the ratio of the concentrations of products and concentrations of reactants.

For the reactions:

A + B ⇄ C + D

For the definition, K is:

K = [C] [D] / [A] [B]

K = [4.0M] [4.0M] / [9.6M] [10.0M]

K = 0.167

How will freezing the juice affect its mass?

Answers

Answer:

Mass increases since its going from liquid to solid.

Explanation:

Define the term “Tyndall effect”. Which of the following would show Tyndall effect:- (Starch solution, sodium chloride solution, alcohol and water mixture)

Answers

Answer:

Tyndall Effect is the phenomenon of scattering of light by particles in a colloid or in a very fine suspension.

Starch solution would show Tyndall effect.

N/B: Heterogeneous mixtures show Tyndall effect.

Answer:The Tyndall effect is light scattering by particles in a colloid or in a very fine suspension. Also known as Willis–Tyndall scattering, it is similar to Rayleigh scattering, in that the intensity of the scattered light is inversely proportional to the fourth power of the wavelength, so blue light is scattered much more strongly than red light. An example in everyday life is the blue colour sometimes seen in the smoke emitted by motorcycles, in particular two-stroke machines where the burnt engine oil provides these particles.

Under the Tyndall effect, the longer wavelengths are more transmitted while the shorter wavelengths are more diffusely reflected via scattering. The Tyndall effect is seen when light-scattering particulate matter is dispersed in an otherwise light-transmitting medium, when the diameter of an individual particle is the range of roughly between 40 and 900 nm, i.e. somewhat below or near the wavelengths of visible light (400–750 nm).

It is particularly applicable to colloidal mixtures and fine suspensions; for example, the Tyndall effect is used in nephelometers to determine the size and density of particles in aerosols and other colloidal matter (see ultramicroscope and turbidimeter).

It is named after the 19th-century physicist John Tyndall.

Explanation:

Escribe verdad o falso: La clorofila capta la energía luminosa del sol. () La fotosíntesis degrada las sustancias orgánicas que nesecitas las células()

Answers

Answer:

La clorofila capta la energía luminosa del sol. (verdadero) La fotosíntesis degrada las sustancias orgánicas que nesecitas las células(falso)

Explanation:

La clorofila es la encargada de dar el pigmento de color verde en las plantas y la que transforma la energia luminica en energia quimica, es por eso que es verdadera.

La fotosintesis NO degrada las sustancias organicas, sino que transforma un sustrato inorganico en una fuente energetica organica para las plantas.

Esto se debe por que las plantas o vegetales son autonomas, es decir que se autoabastecen energeticamente sin necesidad de ingerir alimentos como en el caso de los mamiferos.

A buffer solution contains 0.500 mole per liter each of acetic acid and sodium acetate. Determine the pH of the solution. The Ka of the acetic acid is 1.74 x 10-5. (Need an in-depth explanation with formulas please)

Answers

Answer:

The pH of the solution is 4.76

Explanation:

The concentration of the acetic acid and sodium acetate are 0.500 mole per liter each

The Kₐ of the acetic acid is 1.74 × 10⁻⁵

The concentration of the acetic acid CH₃COOH = 0.500 mole per liter = 0.5 M

The concentration of the sodium acetate (conjugate base) = NaCH₃COO = 0.500 mole per liter = 0.5 M

The dissociation constant, Kₐ, is given by the relation;

[tex]K_a = \dfrac{[H_3O^+][CH_3COO^-]}{[CH_3COOH]}[/tex]

Therefore, we have;

Kₐ × [CH₃COOH]/[CH₃COO⁻] = [H₃O⁺]

1.74×10⁻⁵×0.5/0.5 = 1.74 × 10⁻⁵

Therefore, [H₃O⁺] = 1.74 × 10⁻⁵

pH = -㏒₁₀(1.74×10⁻⁵) = 4.76

The pH of the solution = 4.76.

An object starts at position 12 on a horizontal line with a reference point of O. What is the position of the object if it
moves 14 units to the left?
O-26
O-2
O 2
O 26

Answers

Answer:

  O-2

Explanation:

We assume your reference point is 12 units to the left of the position designated as 12. Then 14 unit to the left will be 2 units left of O, or O-2.

An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it moves 14 units to the left?

THE ANSWER IS -2

List four examples of diffusion seen in daily life.

Answers

Answer:

Spraying perfume in one corner of the room and the smell travels to the other side of the room

Explanation:

which one of the following electronic configuration represents the element that forms simple ion with a charge of-3? (a)1s^2,2s^2,2p^6,3s^2,3p^1 (b)1s^2,2s^2,2p^6,3s^2,3p^3 (c)1s^2,2s^2,2p^6,3s^2,3p^6,3d^1,4s^2 (d)1s^2,2s^2,2p^6,3s^2,3p^6​

Answers

Answer:

(b)

Explanation:

The 3s^2, 3p^6  orbitals form  -3 charge.

This is the element phosphorous and an example of a -3 ion is in aluminium phosphide, AlP3.

The electronic configuration which represents the element forming a simple ion having with a charge of -3 is; 1s², 2s², 2p⁶, 3s², 3p³. Option B is correct.

In this electronic configuration, the element has a total of 16 electrons. To form a simple ion with a charge of -3, the element needs to gain three electrons. This is achieved by adding three extra electrons to the existing configuration.

When the element gains three electrons, the electron configuration becomes:

1s², 2s², 2p⁶, 3s², 3p⁶

This configuration represents the stable octet configuration, where the element has a complete outer shell with eight electrons. Since the charge is -3, it means the element has gained three extra electrons to achieve a stable configuration.

Therefore, the correct electronic configuration representing the element that forms a simple ion with a charge of -3 is 1s², 2s², 2p⁶, 3s², 3p³

Hence, B. is the correct option.

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What shape is represented by three bound groups and one lone pair around a
central atom?
A. Bent
B. Tetrahedral
C. Linear
D. Trigonal pyramidal

Answers

Answer:

D Trigonal pyramidal

Explanation went over in class:

Answer:

D. Trigonal pyramidal

Explanation:

A P E X !

As defined by Aristotle, which one of the following is an element?
1. water 2. air 3. soil 4. none of them​

Answers

Answer:

4

Explanation:

none of them

they are compounds and mixtures

Answer:

4. none of them

Explanation:

Water is a compound.

Air is a mixture.

Soil is a mixture.

None of them are elements.

PLEASE HELP A woman travels to Canada where milk is sold in liters. She wants to buy enough milk at the grocery store to last 5 days and she knows at home she uses 0.75 gallons per week. How many liters must she buy?

Answers

Answer:

About 2 liters

Explanation:

Since 1 gallon equals 3.785 liters, you figure out how many liters per week she uses by 3.785 x 0.75 which is 2.83875. Then divide that by 7 which is 0.405535 liters per day. Then multiply that by 5 days which is 2.027 liters in 5 days.

5 people got tapped in an elevator due to electricty failure generator took 10 mins for being operational. Describe briefly changes in composition of air inside lift

Answers

Answer:

See the answer below

Explanation:

Since no fresh air is coming into the elevator while the people are still trapped in it, the breathing of the people will alter the composition of the air inside the lift.

Breathing involves taking-in of oxygen and the release of carbon dioxide. Hence, less and less oxygen will become available within the lift while the concentration of the carbon dioxide keeps increasing as time goes on.

If the people remain trapped for a long time, the oxygen composition of the air inside the elevator will become exhausted, the carbon dioxide concentration will increase, and the people will suffocate due to lack of oxygen.

The activation energy (E*) for 2N2O ---> 2N2 + O2 is 250 KJ. If the k for this reaction is 0.380/M at 1001oK, what will k be at 298oK? What will the half-life be at both temperatures?

Answers

Answer:

Explanation:

GIven that:

The activation energy = 250 kJ

k₁ = 0.380 /M

k₂ = ???

Initial temperature [tex]T_1 =[/tex] 1001 K

Final temperature [tex]T_2 =[/tex] 298 K

Applying the equation of Arrhenius theory.

[tex]In \dfrac{k_2}{k_1 }= \dfrac{Ea}{R}( \dfrac{1}{T_1 }- \dfrac{1}{T_2})[/tex]

where ;

R gas constant = 8.314  J/K/mol

[tex]In \dfrac{k_2}{0.380 }= \dfrac{250 * 10^3}{8,314}( \dfrac{1}{1001 }- \dfrac{1}{298})[/tex]

[tex]In \dfrac{k_2}{0.380 }= -70.8655[/tex]

[tex]\dfrac{k_2}{0.380 }= e^{-70.8655}[/tex]

[tex]\dfrac{k_2}{0.380 }= 1.67303256 \times 10^{-31}[/tex]

[tex]{k_2}= 1.67303256 \times 10^{-31} \times {0.380 }[/tex]

[tex]{k_2}= 6.3575 \times 10^{-32}[/tex]  /M .sec

Half life:

At 1001 K.

[tex]t_{1/2} = \dfrac{In_2}{k_1}[/tex]

[tex]t_{1/2} = \dfrac{0.693}{0.38}[/tex]

[tex]t_{1/2} =[/tex] 1.82368 secc

At 298 K:

[tex]t_{1/2} = \dfrac{0.693}{6.3575 \times 10^{-32}}[/tex]

[tex]t_{1/2} =1.09 \times 10^{31} \ sec[/tex]

Other Questions
Many websites have ads whose appearance is based onprobability. Advertisers pay the website based on the number of timesthe ad appears.a. The probability that an ad appears when a particular website isloaded is 0.2. The website gets 2000 hits a day. About how manytimes does the ad appear?b. The probability that an ad appears when a particular website isloaded is 0.05. About how many hits must the website have for thead to appear 1000 times? Write the name of the class where Mateo will use each of the items pictzon't forget to include the definite articlesel, la, los or Las. Factory Overhead Cost Variances Blumen Textiles Corporation began April with a budget for 43,000 hours of production in the Weaving Department. The department has a full capacity of 57,000 hours under normal business conditions. The budgeted overhead at the planned volumes at the beginning of April was as follows: Variable overhead $146,200 Fixed overhead 102,600 Total $248,800 The actual factory overhead was $251,800 for April. The actual fixed factory overhead was as budgeted. During April, the Weaving Department had standard hours at actual production volume of 45,000 hours. Determine the variable factory overhead controllable variance and the fixed factory overhead volume variance. Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number. Round your interim computations to the nearest cent, if required. a. Variable factory overhead controllable variance: $ b. Fixed factory overhead volume variance: $ Why does J.K. Rowling craft characters really well, according to Klein? Does this reasoning line up with what you learned in the unit about characterization? Suppose first main street bank, second republic bank, and third fidelity bank all have zero excess reserves. the required reserve ratio is 20%. the federal reserve buys a government bond worth $1,500,000 from hubert, a client of first main street bank. he deposits the money into his checking account at first main street bank. Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle? The vertex of this parabola at (-5,-2). When the c - value is -4 the y-value is 2 what is the coefficient of the squared expression in the parabolas equation. ( to answer gets brainliest ) Following her stroke, Fernando's grandmother could understand what she read or what was being said to her. However, she had great difficulty speaking. Based on these observations, Fernando suspected that his grandmother's stroke had produced damage in: In QRS, mR=65, and mS=35. Which side of QRS is the longest? let [tex]p=x^{2}+6[/tex] Which equation is equivalent to [tex](x^{2}+6)^{2}-21=4x^{2}+24[/tex] in terms of [tex]p[/tex]? A man drives his car 5 km east of his starting point then he travels 10 km south and reaches a point. From here he travels 15 km towards west and reaches another point .Finally he travels 20 km towards north. Find the net displacement of the man from where he started. plz nswer it and ell the scale or it!!!!!!!!!!!!!!!!!!!!! Which program offers nutrition screenings at no cost? A. food distribution centers B. Meals on Wheels C. SNAP D. workplace wellness programs Suppose xy > 0. Describe the points whose coordinates are solutions to the inequality. please answer in detail An FM radio station transmits a signal with a frequency of 89.1 MHz. Give the wavelength in meters. (use at least three significant digits) A pharmacist wants to mix a 30% saline solution with a 10% saline solution to get 200 mL of a 12% saline solution. How much of each solution should she use Which of these are elimination reactions? Check all that apply.CH3OH + CH3COOH CH3CO2CH3 + H20C3H7OH C3H6 + H20H9C2Br + NaOH C2H4 + NaBr + H20 Which describes the character of Mother Ceres in the excerpt?ProtagonistO AntagonistO DynamicStatic The interest group tactic of "lobbying the grassroots" refers to interest groups' efforts to __________. A. raise money that they can contribute to candidates for office B. hire former members of Congress to influence current members of Congress C. win the support of ordinary people, who can then be mobilized to pressure government officials D. influence government bureaucrats to enforce laws in a manner favorable to the interest group The volume of a cone is 3.7x3 cubic units and its height is x units.Which expression represents the radius of the cone's base, in units?3x6x?9.xox2 What prompted the United States to take action in the Middle East?