If a person could be modeled as a black body, at what wavelength would his or her surface emit the maximum energy? Assume that the normal human body temperature is about 37∘C.

Answers

Answer 1

If a person could be modeled as a black body, the wavelength at which his or her surface emits the maximum energy would be 9.73 µm. When a body absorbs radiation, the energy is stored within the body. The blackbody is defined as an object that absorbs all radiation that falls on it, no matter the wavelength or angle of incidence. The radiation that comes out of a blackbody is known as blackbody radiation.

A blackbody is an idealized physical body that emits radiation thermally uniformly at a temperature known as the blackbody temperature. It absorbs all electromagnetic radiation that falls on it, regardless of frequency or angle of incidence. It is an idealized concept because no physical body can match the idealized characteristics of a black body. The earth's atmosphere is quite close to a black body, but no object has all of the characteristics of a black body.There are a few crucial characteristics that define a blackbody:It is a perfect emitter and absorber of radiation, it has the highest level of emissivity and absorptivity.The temperature of a black body is uniform throughout its surface, it is isothermal.Blackbodies emit maximum radiation at a specific wavelength for a given temperature, the wavelength of maximum energy emission is a function of the blackbody temperature.The wavelength of maximum energy emission is given by Wien’s displacement law:λmax = b/TWhere λmax is the wavelength at which the maximum radiation is emitted, b is a constant known as the Wien’s constant, and T is the temperature of the black body.If we assume the normal human body temperature to be about 37∘C, the wavelength at which a person modeled as a blackbody would emit maximum energy can be calculated using Wien’s displacement law as follows:λmax = b/Tλmax = 2.898 x 10^-3 m K/ (310 K)λmax = 9.73 µmTherefore, the wavelength at which a person modeled as a blackbody would emit maximum energy is 9.73 µm.

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Related Questions

state the volume of sodium hydroxide

Answers

Answer:

0.0250 dm 3.

Explanation:

Volume of sodium hydroxide solution = 25.00 ÷ 1000 = 0.0250 dm 3. Amount of sodium hydroxide = 0.100 × 0.0250 = 0.00250 mol. From the equation, 0.00250 mol of NaOH reacts with 0.00250 mol of HCl

This chemical equation represents a chemical reaction.
NaCN + HBr + NaBr + HCN
Which two chemicals are reactants in the chemical reaction?
A.NaCN
B.NaBr
C.HCN
D.HBr

Answers

Answer: NaCN and HBr

Explanation:

Use the drop Dow menus to select the names of the labeled structures

Answers

Answer:

theres no picture

Explanation:

enter nuclear equations to represent this process: first the bombardment of u-238 to form u-239 , then the first beta decay of u-239 , and finally the second beta decay to form pu-239 . express your answers as a series of three nuclear equations separated by commas. nothing

Answers

First the bombardment of u-238 to form u-239 , then the first beta decay of u-239 , and finally the second beta decay to form pu-239.

When an atomic nucleus undergoes beta decay, a fast, energetic electron or positron known as a beta particle is released, converting the original nuclide into an isobar of that nuclide. For example, in the process known as "positron emission," a proton is converted into a neutron by the emission of a positron and a neutrino, whereas in the process known as "beta decay," a neutron is converted into a proton by the emission of an electron and an antineutrino. Both the beta particle and the associated (anti-)neutrino are not existing in the nucleus prior to beta decay; rather, they are created during the decay process. This process results in a more stable proton-to-neutron ratio for unstable atoms. The binding energies of all identified nuclides combine to produce the nuclear band, commonly referred to as the valley of stability. [1] For either electron or positron emission to be energetically possible, the energy release, or Q value, must be positive. Beta decay is caused by the weak force, which has relatively long decay times. The weak force allows up and down quarks, which make up nucleons, to alter the flavor of their lepton by producing a W boson, which results in an electron/antineutrino or positron/neutrino pair.

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plsssss help quick will give you a brainly for the best answer

Answers

What’s the question?

Answer:

you did not add a question so I cannot help you out sorry

Explanation:

the neutralization reaction between al(oh)3 and hno3 produces the salt with the formula

Answers

The neutralization reaction between Al(OH)\(_{3}\) and HNO\(_{3}\) results in the formation of a salt with the formula Al(NO\(_{3}\))\(_{3}\).

This reaction is a classic acid-base reaction where the base Al(OH)\(_{3}\) reacts with the acid HNO\(_{3}\) to produce a salt and water. The Al(OH)\(_{3}\) acts as a base by accepting protons from the HNO\(_{3}\) acid, which then results in the formation of Al(NO\(_{3}\))\(_{3}\) salt.

The salt is formed when the metal cation \(Al^{3+}\) combines with the anion \(NO^{3-}\), which has a negative charge. The neutralization reaction between Al(OH)\(_{3}\) and HNO\(_{3}\) is an important process used in industries such as pharmaceuticals and water treatment.

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Write the correct abbreviation for each metric unit.
1) Kilogram __ 4) Milliliter __ 7) Kilometer __ 2) Meter 5) Millimeter __
8) Centimeter __ 3) Gram __ 6) Liter __ 9) Milligram __

Answers

The correct abbreviation for each metric unit is:

Kilogram - kg, Milliliter - ml, Kilometer- Km, Meter- m, Millimeter - mm, Centimeter - cm, Gram - g,  Liter - L, and Milligram - mg.

What is the metric system?

The metric system can be described as a system of measurement that succeeded the decimalized system based on the meter.  Each of the fundamental dimensions can be expressed by a single base unit of measure.

For quantities derived from the base units of the system, units derived from the base units are used such as the square meter being the derived unit for the area, a quantity derived from length.

Metric units can be described as units based on the meter, gram, or second and decimal multiples or sub-multiples of these. The units of the International System of Units (SI). By extension, they involve units of electromagnetism from the CGS units and SI units systems.

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What is the pH of a buffer solution prepared by mixing 20.0 mL of 0.0800 molL−1NaOH with 20.0 mL of 0.130 molL−1 cacodylic acid?

Answers

Answer:

pH = 6.20

Explanation:

The pKa of cacodylic acid is 6.

To solve this question we must use Henderson-Hasselbalch equation:

pH = pKa +log [A⁻] / [HA]

Where pKa is the pKa of the weak acid = 6

And [] could be taken as the moles of A⁻ the conjugate base, and HA, the weak acid.

The moles of the NaOH added to the solution of the weak acid are = Moles A⁻

And moles HA = Initial moles HA - Moles NaOH added

Initial moles HA:

0.0200L * (0.130mol / L) = 0.00260 moles

Moles NaOH:

0.0200L * (0.0800mol / L) = 0.00160 moles = [A⁻]

Moles HA =

0.00260 moles - 0.00160 moles = 0.00100 moles = [HA]

pH = 6 +log [0.00160 moles] / [0.00100 moles]

pH = 6.20

The pH of the resulting solution is 1.6.

Let cacodylic acid be HA, mixing cacodylic acid and NaOH, the following occurs;

HA(aq) + NaOH(aq) ------> NaA(aq) + H2O(l)

Number of moles of NaOH = 0.0800 molL−1 × 20.0/1000 = 0.0016 moles

Number of moles of HA = 20.0/1000  × 0.130 = 0.0026 moles

We can see that the HA is in excess, Number of moles of excess acid =

0.0026 - 0.0016 = 0.001 moles

Total volume of solution = 20.0 mL + 20.0 mL = 40 mL or 0.004 L

Molarity of excess acid =  0.001 moles/0.004 L = 0.025 M

pH = -log[H^+]

pH = -log[0.025 M]

pH = 1.6

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The pressure of a 980.0 mL sample of gas at a constant temperature is increased from 0.4620 atm to
0.6320 atm. What is the final volume of the gas?

Answers

Answer:

P

1

V

1

T

1

=

P

2

V

2

T

2

Explanation:

P

1

V

1

T

1

=

P

2

V

2

T

2

, given a constant quantity of gas.

And thus,  

P

1

×

V

1

×

T

2

V

2

×

T

1

=

P

2

, even given this format, we can see the problem is dimensionally sound. We do need to use  

absolute temperature.

P

2

=

1.00

a

t

m

×

250

m

L

×

313

K

500

m

L

×

293

K

1

2

a

t

m

.

Explanation:

Write a message to Eric Wu explaining when he can photograph a lunar eclipse and why lunar eclipses happen.
Claim 1: A lunar eclipse can be photographed any time Earth is in between the sun and the Moon.

Claim 2: A lunar eclipse can be photographed sometimes when Earth is in between the sun and the Moon.

Answers

A lunar eclipse can be photographed sometimes when Earth is in between the sun and the Moon.

Why lunar eclipse occur?

A lunar eclipse occurs when the Sun, Earth, and Moon align in the same line in which the Moon passes into Earth's shadow. In a total lunar eclipse, the entire Moon falls within the darkest part of Earth's shadow, called the umbra so we can conclude that claim 2  is the right answer about lunar eclipse.

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The actual density of iron is 7.874 g/mL. In a laboratory investigation, Jason finds the density of a piece of iron to be 7.921 g/mL.

What is the percent error that is associated with Jason’s measurement?
-4.7%
-0.6%
0.6%
4.7%

Answers

Answer:

the Anweser is 0.6%

Explanation:

Answer:

0.6%

Explanation:

because it is

Consider the following half-reaction balanced for an acidic solution: 2H2O + SeO2 → SeO42- + 4H+ + 2e-. What is the balanced half-reaction for a basic solution?

Answers

Answer

\(SeO_2+4OH^-\rightarrow SeO^{2-}_4+2H_2O+2e^-\)

Explanation

The given balanced half-reaction for an acidic solution:

\(2H_2O+SeO_2\rightarrow SeO^{2-}_4+4H^++2e^-\)

What to find:

Tha balanced half-reaction for a basic solution.

Step-by-step-solution:

To balance the half-reaction for a basic solution;

1. Add OH⁻ ions to BOTH SIDES to neutralize any H⁺

\(2H_2O+SeO_2+4OH^-\rightarrow SeO^{2-}_4+4H^++4OH^-+2e^-\)

2. Combine H+ and OH- to make H2O.

\(2H_2O+SeO_2+4OH^-\rightarrow SeO^{2-}_4+4H_2O+2e^-\)

3. Simplify by canceling out excess H2O

\(SeO_2+4OH^-\rightarrow SeO^{2-}_4+2H_2O+2e^-\)

4. Balance the charges by adding e-

\(SeO_2+4OH^-\rightarrow SeO^{2-}_4+2H_2O+2e^-\)

classify the following into physical and chemical changes a) drying of a shirt in the sun b) rising of hot air over a radiator c)rusting of iron d)mixing of sand with sugar e) digestion f) milk turns to curd g) dissolution of salt in water

Answers

Answer:

A. physical change

b. physical change

c. chemical change

d. chemical change

29.2 kJ of heat is required to convert an 50.0 g sample of acetaldehyde from the liquid to gas phase. The molecular weight of acetaldehyde is 44.05 g/mol. What is the heat of vaporization of acetaldehyde in kJ/mol?

___ kJ/mol

Answers

Answer:

25.72 i know this because i have donedd this before hope you get it correct

Explanation:

the equilibrium constant kp for the gas-phase thermal decomposition of tert-butyl chloride is 3.45 at 500 k: (ch3)3ccl(g)⇌(ch3)2c=ch2(g) hcl(g)

Answers

At 500 K, the equilibrium constant `K_p` for the gas-phase thermal decomposition of tert-butyl chloride is 3.45.

A chemical reaction proceeds in both forward and backward directions. At some point in time, the rate of forward and backward reaction becomes equal.

At this stage, the system is said to be in a state of equilibrium. When the concentration of products and reactants no longer changes, the reaction is said to have reached equilibrium.

Constant is the term that is used for the ratio of the concentrations of products to the concentrations of reactants at equilibrium.

This ratio is also called the Equilibrium Constant `(K)`. It is only used for reversible reactions and its value changes with changes in temperature.

What is the formula of Equilibrium Constant `K_p`?Equilibrium Constant `K_p` is defined as the ratio of the partial pressures of products and reactants when the reaction reaches equilibrium.

Mathematically, it is given as:`K_p = (P_A)^a * (P_B)^b / (P_C)^c * (P_D)^d`where `A` and `B` are products and `C` and `D` are reactants. `a`, `b`, `c` and `d` are the respective coefficients in the balanced chemical equation. `P` is the partial pressure of the given substance.Given equation for the thermal decomposition of tert-butyl chloride:`(CH3)3CCl(g) ⇌ (CH3)2C=CH2(g) + HCl(g)`

The Equilibrium constant `K_p` of the given equation at 500K is given as:`K_p = 3.45`

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What are the two things that the Hertzsprung-Russell diagram use to classified stars

Answers

The Hertzsprung-Russell diagram (HR diagram) uses two things to classify stars: their luminosity and their temperature.

Luminosity refers to the amount of energy a star emits per unit of time, while temperature refers to the surface temperature of a star, which can be determined by the star's color.

The HR diagram plots stars on a graph with luminosity on the y-axis and temperature (or color) on the x-axis. This allows scientists to study the different evolutionary stages of stars, and how their properties change over time.

The HR diagram is a powerful tool for understanding the life cycles of stars and the different types of stars that exist in the universe. It provides insight into the physical properties of stars, such as their temperatures, luminosities, and masses, and how these properties change over time.

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Mercury as a density of 13.6g/mL. What is the volume occupied by 112.0 grams of mercury?

Answers

Answer:

8.24 mL

Explanation:

The volume of a substance when given the density and mass can be found by using the formula

\(volume = \frac{mass}{density} \\\)

From the question we have

\(volume = \frac{112}{13.6} \\ = 8.23529\)

We have the final answer as

8.24 mL

Hope this helps you

1. As pCO2 levels were increased, the concentration of a gas in the inhaled air was decreased in order to maintain the oxygen levels. Name that gas?

2. What is the minute ventilation when inhaled air contains 5% carbon dioxide?

3. Discuss the relationship between CO2 and pH and their affect on minute ventilation

4. Discuss how inhaling increased amounts of CO2 affects pulmonary ventilation.

Answers

1. The gas whose concentration decreases when pCO2 levels increase in order to maintain oxygen levels is nitrogen.

2. Minute ventilation is the total volume of air that is breathed in and out in one minute.

3. CO2 and pH have a direct relationship that affects minute ventilation.

4. Inhaling increased amounts of CO2 can affect pulmonary ventilation in a number of ways. The increased levels of CO2 can cause the respiratory rate to increase, leading to hyperventilation.

1. The gas whose concentration decreases when pCO2 levels increase in order to maintain oxygen levels is nitrogen. As the amount of CO2 in blood increases, the body compensates by decreasing the concentration of nitrogen gas in the inhaled air.

2. Minute ventilation is the total volume of air that is breathed in and out in one minute. When inhaled air contains 5% carbon dioxide, minute ventilation will increase to help remove the excess carbon dioxide from the body.

3. CO2 and pH have a direct relationship that affects minute ventilation. When CO2 levels increase, the pH decreases and causes the respiratory rate to increase. This increased ventilation helps to remove excess CO2 and restore the pH balance.

4. Inhaling increased amounts of CO2 can affect pulmonary ventilation in a number of ways. The increased levels of CO2 can cause the respiratory rate to increase, leading to hyperventilation. This can cause dizziness, shortness of breath, and other symptoms. Additionally, it can lead to respiratory acidosis if the body is unable to compensate for the increased CO2 levels.

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The source of bitterness in dark chocolate is the compound theobromine, an alkaloid present in cocoa beans. In a sample of dark chocolate there are 7.25 x 10^20 molecules of theobromine present. How many milligrams of theobromine are present in the sample?

Answers

The given number of molecules of theobromine present in a sample of dark chocolate is 7.25 x 10²⁰, therefore the mass of theobromine present in the sample is 216.9 mg.

We are required to find out the mass of theobromine in milligrams. The molecular mass of theobromine is 180 g/mol. Therefore, the number of moles of theobromine in the sample can be calculated by using the formula as:

Number of moles = Number of particles / Avogadro's number

Now, the Avogadro's number is 6.022 x 10²³/mol.

So, the number of moles of theobromine is:

No. of moles of theobromine = (7.25 x 10²⁰) / (6.022 x 10²³) = 0.001205 mol

The mass of theobromine present in the sample can be calculated by using the formula as:

Mass of theobromine = No. of moles x Molecular mass= 0.001205 mol x 180 g/mol= 0.2169 g

The mass of theobromine present in the sample is 0.2169 g. To convert this into milligrams, we can multiply this by 1000. Therefore, the mass of theobromine in milligrams is: Mass of theobromine = 0.2169 g x 1000 mg/g= 216.9 mg. Hence, the mass of theobromine present in the sample is 216.9 mg.

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The price of a gallon of almond milk increases from $5 to $10, so people start buying more oat milk as an alternative. this causes a shift to the left in the demand for almond milk. demand for almond milk ____________ because of a change in ___________.

Answers

The demand for almond milk decreases because of a change in price from $5 to $10. Details about demand can be found below.

What is demand?

Demand refers to the amount of goods a consumer is willing and able to buy at a given price and at a particular time.

Several factors can affect the demand of a particular good. According to this question, the price of a gallon of almond milk increases from $5 to $10, so people start buying more oat milk as an alternative.

Therefore, it can be said that the demand for almond milk decreases because of a change in price from $5 to $10.

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Answer:

decreased:related goods

Explanation:

ik it seems like decreased:income but i just took the test twice and ik for a fact its c not d

Salicylamide can undergo an iodination by electrophilic aromatic substitution. Arrange the procedural steps in order to iodinate salicylamide.

Answers

The procedural steps in order to get iodinate salicylamide are as follows:

It begins first at a laboratory.Secondly, one has to dissolve salicylamide in ethanol.Then one has to add sodium iodide.Later on, one has to add sodium hypochlorite to the ice cold solution of salicylamide and sodium iodide.Thereafter one has to sodium thiosulfate.It is better to Acidify by a person adding about 10% of  HCl.The one has to collect the crude product through the use of vacuum filtration.Lastly one then Recrystallize from hot ethanol.What is Electrophilic aromatic substitution?

The Electrophilic aromatic substitution is known to be a kind of an organic reaction where an atom is said to be added or attached to a kind of aromatic structure (that is made up of hydrogen) is said to be replaced by an electrophile.

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what is chemistry? ​

Answers

Answer:the branch of science which examines the material of the universe and changes that these materials undergo

Chemistry deals with composition,structure,properties of matter and changes that these materials undergo

How many moles are in 25.0 grams of HF?

Answers

Answer:

Hey mate.....

Explanation:

This is ur answer.....

So,

If one mole has a mass of 18 grams, 25 grams would have a mass of 25 grams/ 18 grams per mole or 1.39 moles.

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mark me brainliest plz.....

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Answer:

1.39 moles............

Name the following alkane molecule:

Name the following alkane molecule:

Answers

B
step-by-step explanation

Answer:

c

Explanation:

5. John has a bicycle whose tires are 27.1 inches in diameter. If John rides his bike 1.50 kilometer, how many revolutions does each tire make?​

Answers

The number of revolutions each tire make is ;  693.62 revs/km

Using the given data:

Diameter of bicycle tires = 27.1 inches

Radius ( r ) = 27.1 / 2 = 13.55 inches

distance covered by bicycle = 1.5 km

determine number of revolutions made by each tire

Number of revolutions = distance covered / circumference of tire

circumference = 2 π r

                        = 2 * π * 13.55 = 85.14 inches

∴ number of revs = 1.5 km / 85.14 inches  = 693.62 revs

Hence we can conclude that the number of revolutions each tire make =  693.62 revs/km

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what is a mixture of elements and compounds

what is a mixture of elements and compounds

Answers

The substance in the image above would be classified as a mixture of elements (option E).

What is a compound and mixture?

A compound is a substance formed by chemical bonding of two or more elements in definite proportions by weight.

On the other hand, a mixture is made when two or more substances are combined, but they are not combined chemically.

According to this question, an image is shown with two different substances or elements as distinguished by coloration (white and purple). These elements are combined but not chemically bonded, hence, is a mixture.

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Select the correct answer from each drop-down menu.
What causes atoms to form covalent bonds?
In a covalent bond, two atoms are held together by the attraction between . The number of covalent bonds that an atom can form depends on the number of in the atom.

Answers

it results from the sharing of an electron pair between two atoms

How many moles of KClO3 will it take to make 6 moles of KCl?

Answers

2 moles of KClO3 will be required to make 6 moles of KCl.

KClO3 decomposes upon heating into KCl and O2. The balanced chemical equation for this reaction is 2 KClO3 → 2 KCl + 3 O2. From the equation, it can be observed that for every 2 moles of KClO3, 2 moles of KCl are produced. This is because the stoichiometric ratio between KClO3 and KCl is 1:1. As we know that 6 moles of KCl is required, we can use this ratio to determine the amount of KClO3 required. We can set up a proportion as follows:2 moles KClO3 / 2 moles KCl = x moles KClO3 / 6 moles KCl.

Solving for x, we get: x moles KClO3 = 6 moles KCl * 2 moles KClO3 / 2 moles KCl= 6 moles KClO3. Hence, 2 moles of KClO3 will be required to make 6 moles of KCl.

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what happened to the ph of the solution as you came near to adding stoichiometrically equivalent amounts of base to your acids? why do you think that this occurred

Answers

As we add a base to an acidic solution, the pH of the solution increases.

The pH will continue to increase as we add more base until it reaches a certain point where the amount of base added is stoichiometrically equivalent to the amount of acid present in the solution. At this point, the pH of the solution will be at its highest point, known as the equivalence point.

At the equivalence point, all the acid has reacted with the base, and the solution contains only the salt and water formed by the reaction. The pH of the solution at the equivalence point will depend on the strength of the acid and base used.

The reason for the increase in pH as we add base is due to the neutralization reaction that takes place between the acid and the base. The acid donates a proton (H⁺) to the base, which accepts the proton and becomes a conjugate acid. This reaction reduces the concentration of H⁺ ions in the solution, which causes the pH to increase.

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How many liters of hydrogen are formed at 715 mmhg and 19.0 deg c if 12.8 g of al react according the following reaction: 2 al + 6 hci ---> 2 alcl3 + 3 h2

Answers

There are 0.017 mm volume  hydrogen are formed at 715 mm hg and 19.0 deg c if 12.8 g of al react

The relationship between an object's mass and volume seems to be straightforward. The object's mass rises directly proportionately to its volume.

The given reaction is:

2 Al + 6 HCl → 2 alcl3 + 3 h2

It can be seen that, 3 mol of hydrogen is formed during the reaction.

Number of moles of hydrogen = 3

Mass = 12.8 g

d = 715 mmHg

Volume of hydrogen can be calculated as:

Density = mass /volume

Volume = mass / density

Put the values of given data in above expression.

Volume = 12.8 g  / 715 mm hg

Volume = 0.017 mm

Thus, volume of the hydrogen will be 0.017 mm

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Yosef, a 49 year old single taxpayer, contributed $25,000 to a commercial annuity in 2017. The annuity is a nonqualified plan. In 2021, before the annuity start date, Yosef took a nonperiodic distribution of 2,500 and used the money to pay off his credit card debt. If the value of the annuity at the time of the distribution was $30,000, how much of the distribution is taxable? When inflation decrease, preferred stock prices decreases true or false A high use of debt could result in a lower Return on equity. true or false 30 PTS: Please help meYou can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation? Define the domain and range of this function and describe reasonable values for each. f(x) = 4x^2+ 7x 18 f(-9) Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths. D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles. According to Willerman (1979), a problem with attempting to study the effects of nonshared environments is that: energy conservation of radio Write the expression as a polynomial in standard form5x+4x^2(2x+7)-6x^2-9x the nurse is working in a community clinic that serves a population comprised mainly of migrant families. in planning the use of resources for secondary prevention, which activity should be the priority? 50 POINTSSSSSSSSSSSSSSSSSSS use the commutative property to simplify the expression 1/3+3/5+2/3 describe two new social hierarchies that emerged as a result of western european colonization of the new world solve the following inequality A line has a slope of 2. It passes through the points, (1,2) and (3,y) . what is the value of y? Another name for for overt, resistance and open resistance. Must be a 2 word phrase a beginner ell student has just joined a third-grade class. the class has just started a unit about photosynthesis during which they watched a video depicting the process of plants using sunlight to synthesize foods from carbon dioxide and water. based on the english language proficiency standards (elps), which two activities are appropriate for the teacher to ask the ell to perform after watching the video? In the image is the blood hypertonic, isotonic, or hypotonic comparedto the matrix of the brain? Which of the following statements is false?a.The new state capital of Austin was surrounded by many large settlements.b.The new state capital of Austin was set up near the Colorado River.c.The new state capital of Austin bordered Comanche territory.d.The new state capital of Austin was designed and planned by Edwin Waller.Please select the best answer from the choices providedABCD You have saved $6,000 toward the purchase of a car costing $13,000. How long will the $6,000 have to be invested at 6% compounded monthly to grow to $13,000? Identify the formula required to solve this problem. A. A = P(1 + i)n, where i = , and A is the amount at the end of n periods, P is the principal value, r is the annual nominal rate, m is number of compounding periods per year, i is rate per compounding period, and n is total number of compounding periods m OB. A=P(1 + rt), where A is the amount, P is the principal, r is the annual simple interest rate, and t is the time in years O C. I= Prt, where I is the interest, P is the principal, r is the annual simple interest rate, and t is the time in years OD. A= Pet, where A is the amount at the end of t years if P is the principal invested at an annual rate r compounded continuously It will take months for the investment to grow to $13,000. (Round up to the nearest integer.) (Sensitive Information) What type of unclassified material should always be marked with a special handling caveat? In 4th grade for every 30 girls there are 35 boys. 7th grade has 60 girls and 65 boys. Do they have equivalent ratios from girls to boys?