1.615304584 ×10⁵⁸ ways can 100 new male students be assigned to these five halls.
How can probability be explained?A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Ways of selecting 10 students out of 100 = C(100,10) for D1.
After that 100-10 = 90 students are remaining.
Ways of selecting 5 students out of 90 is C(90,5) for D2.
Ways of selecting 15 students out of 90-5 = 85 is C(85,15) for D3.
Now number of remaining students is 85 -15 = 70.
Now for each of these 70 students we have 2 choices D4 and D5.
So these 70 students can be distributed in 2^70 ways.
So number of ways 100 new male students can be assigned to these five halls is
[tex]\begin{aligned}&=C(100,10) \cdot C(90,5) \cdot C(85,15) \cdot 2^{70} \\&=1.73 * 10^{13} * 43949268 * 1.798 * 10^{16} * 1.1806 * 10^{21} \\&=\mathbf{1 . 6 1 5 3 0 4 5 8 4} * \mathbf{1 0}^{58}\end{aligned}[/tex]
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Which of the following shows the correctly balanced chemical reaction [tex]H_{2}SO_{4}[/tex] reacting with HI?
The correctly balanced chemical reaction of [tex]H_2SO_4[/tex] with HI is [tex]H_2SO_4 + 8HI -- > H_2S + 4I_2 + 4H_2O[/tex]
Balancing chemical equationsThe equation of chemically balanced reactions must obey the law of conservation.
According to the law of conservation, the number of participating atoms in a reaction must be conserved. In other words, the number before must be the same as after the reaction.
However, the law opines that the forms of atoms may change after reactions.
Sulfuric acid reacts with hydrogen iodide to produce hydrogen sulfide, iodine molecules, and water according to the following equation:
[tex]H_2SO_4 + HI -- > H_2S + I_2 + H_2O[/tex]
However, the equation is yet to obey the law of conservation. The correctly balanced equation of the reaction would be: [tex]H_2SO_4 + 8HI -- > H_2S + 4I_2 + 4H_2O[/tex]
The above equation shows that the number of each atom in the reactants is the same as in the product.
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Which of the following shows the correctly balanced chemical reaction reacting with HI?
a. [tex]H_2SO_4 + 8HI -- > H_2S + 4I_2 + 4H_2O[/tex]
b. [tex]H_2SO_4 + 4HI -- > H_2S + 2I_2 + 2H_2O[/tex]
c. [tex]H_2SO_4 + HI -- > H_2S + I_2 + H_2O[/tex]
This is urban 67 meters. ms french bikes 3km. who biked farther?.
Answer:
Ms French
Explanation:
1km is equal to 1000m so ms French biked further
Calculate the pH of 1 × 10-2 molar aqueous solution of H2SO4
The pH of a 1 × 10-² molar aqueous solution of H2SO4 is 2.
How to calculate pH?pH is the degree of acidity or alkalinity of a solution. The pH of a solution can be calculated by using the following formula;
pH = - log {H+}
According to this question, the concentration of 1 × 10-² molar aqueous solution of H2SO4. The pH of this solution can be calculated as follows:
pH = - log {0.01}
pH = 2
Therefore, the pH of the aqueous solution is 2.
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An element reacts with oxygen to give a compound with a high melting point. This compound is also soluble in water. Which element - calcium or carbon is it likely to be?
Answer:
Calcium as carbon is insoluble in water
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Question
What is the density of a substance that has the mass of 14.5 g and the volume of 8 mL? (D=m/v) will this object float or sink?
Answer:
Sink
Explanation:
Density is defined as the amount of substance per unit volume, and is given by the formula below:
Density= mass ÷volume
Given that mass and volume, calculate the density of the substance:
Density of substance
= 14.5 ÷8
= 1.8125 g/mL
Compare the density of the substance with that of the medium it is place in, for example water:
The density of water is 0.9998395 g/mL, thus the density of the substance is greater than that of water.
Since the substance is more dense than water, it will sink in water.
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Base your answers to questions 1 and 2 on
the diagram below, which represents a solid material
of uniform composition.
2.0 cm
Density-2.7 g/cm³
-20 cm-
We
1. The mass of this piece of material is approximately
A) 32 g
Q4.4g
X) less
-3.0 cm
2. When this material is placed in a container of water, i
sinks to the bottom of the container. Compared to the
density of water, the density of this material is
B) greater
the same
B) 0.23 g
9.3 g
Answer:
A. 32 g
Explanation:
Density = 2.7 g/cm3
Volume = 2 x 2 x 3 = 12 cm3
Mass = dV = 2.7 x 12 = 32.4 g or 32 g
a 1.631 g sample of an unknown triprotic acid was dissolved in water and diluted to 250.0 ml in a volumetric flask. 20.00 ml of the acid solution required 19.74 ml of 0.1063 m naoh to reach the endpoint of the titration. determine the molar mass of the triprotic acid
The molar mass of the triprotic acid used is 186.4 g/mol.
To calculate the amount of triprotic acid, we must first calculate the number of moles (n) of sodium hydroxide (NaOH) expended during the titration. To do this, we can use its molarity (c = 0.1063 M) and volume (V = 19.74 mL = 0.01974 L):
c = n/V ⇒ n = c*V
n(NaOH) = 0.1063 M * 0.01974 L
n(NaOH) = 0.0021 mol
Because 1 mol of a triprotic acid requires 3 moles of sodium hydroxide to be neutralized, the amount of the acid in the 20.00 mL sample will be:
n(acid) = n(NaOH) / 3
n(acid) = 0.0021 mol / 3
n(acid) = 0.0007 mol
Now we use a proportion to calculate the amount of acid present in a 250.0 mL sample:
0.0007 mol : 20.00 mL = X : 250 mL
X = 0.0007 mol * 250.0 mL / 20.00 mL
X = 0.00875 mol
Finally, we use the mass (m) and the number of moles to calculate the molar mass (M):
n = m/M ⇒ M = m/n
M = 1.631 g / 0.00875 mol
M = 186.4 g/mol
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Your are sailing along the coast of Australia. Explain why you won't be able to use Polaris to determine your latitude.
We won't be able to use Polaris to determine the latitude if we are present south of the equator because from the south we can't see the Polaris.
How we can determine latitude?We can determine latitude by measuring the angle of the North Star, which is called Polaris that is present above the horizon. There is no similarity to Polaris in the South, but to find your latitude if you are in the Southern hemisphere you can use a band, called the Southern cross and two stars called the Southern Pointers. Polaris cannot be seen from the south of the circuit. The altitude of a star is the estimation in degrees of the angle of the star above the horizon. which has an unusual name, the zenith. Polaris is used to determine the star is by no means the brightest star in the sky, and cannot help you determine longitude at all, as it is always on the meridian.
So we can conclude that Polaris is pointing directly toward the north pole there is no equivalent of Polaris in the South.
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investigations were carried out in a science lab to explore the topic of chemical and physical changes.
Investigation A
Step 1. Add 5 tsp. salt to 100 ml warm water and stir until most or all of the salt is no longer visible.
Step 2. Heat the salt solution on a burner until only a white solid remains.
Investigation B
Step 1. Mix 10 tsp. white sugar into 100 ml water and stir until most or all of the sugar is no longer visible.
Step 2. Heat the sugar solution on a burner until the solution thickens and turns brown.
In which step(s) did a chemical change most likely occur?
Investigation A, Step 1 and Investigation B, Step 1
Investigation A, Step 2 and Investigation B, Step 2
Investigation A, Step 2 only
Investigation B, Step 2 only
Investigation B, Step 2 only is the one in which a chemical change will most likely occur and is denoted as option D.
What is Chemical change?This is referred to as a type of reaction which is characterized by the formation of a new substance as a result of the synthesis or decomposition of a substance which is referred to as the reactant through various methods and techniques.
In the Investigation B, Step 2, the sugar solution is heated on a burner until the solution thickens and turns brown thereby forming caramel. The chemical change in this scenario is depicted as the caramel which is produced in the process known as caramelisation.
There is a new substance formed which is therefore the reason why option D was chosen as the most appropriate choice.
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Answer:
the answer is BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Explanation: why? I don't know because I just piked a answer.
The solubility of a substance at varying temperatures is listed:
1.1 g solute per 100 g solution at 20oC
0.8 g of solute per 100 g solution at 30oC
0.4 g of solute per 100 g solution at 40oC
Based on the data, what can you infer about this solute?
A) The solute is a gas.
B) The solute is a solid.
C) The solute is a liquid.
D) The solute is concentrated.
The substance is a gas because its solubility decreases with temperature.
What is a solution?A solution is formed when a solute is dissolved in a solvent. We know that the solubility has to do with how much of the solute in mass or moles that is able to be dissolved in the solvent at a given temperature. This shows that the temperature is very important when we are looking at solubility.
The solubility of a gas gets lesser and lesser as the temperature of the system increases and this is what we are seeing in the data that is shown in the question above.
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Below is a list of some substances and their symbols.
Oxygen O
Sodium Chloride NaCl
Gold Au
Neon Ne
How many of these substances are an example of an element?
Answer:
3 of the 4 are elements
Explanation:
An element can be found on the periodic table, and are only composed of one type of atom. For example, carbon is an element because you can find it on the periodic table. Fire isn't an element because you can't find it on the periodic table. A short-cut to see if something is an element is to look at the number of capital letters in the formula. If it only has one capital letter, it is an element. If it has two or more, it is a compound. This works because elements always have only one capitalized letter. For example, Ne has a capitalized N. O has a capitalized O. This only works if you are given the molecular formula and not the name, so looking at the periodic table is the best thing to do. Oxygen is an element, Sodium chloride is a compound, Gold is an element, and Neon is an element
A patient needs 50 mg of a medicine three times a day. If each tablet contains 25 mg of medicine the patient will need 20 tablets for a 4-day prescription.
Answer: The Rx should have been filled with 24 tablets, so it is false that the Rx was for 20 tablets
Explanation: 25mg x2 = 50mg x3 (three times a day). So patient takes 150mg day x 4 days= 6 tablets/day for 4 days. Rx should contain 24 tablets. If the pharmacy sent 20, the order wasn't calculated correctly.
ggggygyggyygygygygyggy
Answer:
ggggygyggyygygygygyggy
Explanation:
What's this for?
Based on the graph below, what is the most likely explanation for what happened halfway through year 15?
A graph with Years on the x-axis from 14 to 16 and Rabbits on the y-axis from 0 to 400, by hundreds. The line begins above 400, drops to 350 at year 14, increases above 400 and drops to below 350 at year 15, increases to over 400 and drops to 200 at year 16.
a.
a hot summer
b.
a harsh winter
c.
a sharp increase in available land
d.
a sharp decrease in available land
ANsWER is D
The most likely explanation for what happened halfway through year 15 is D. a sharp decrease in available land.
What is the most likely explanation for what happened?The term "population" refers to the average number of distinct residents in a particular area or region across time. They are individuals who are part of the same class of creatures. Halfway through year 15, the amount of land available begins to rapidly decline.
Beginning above 400, the line increases above 400 and declines below 350 at year 14, increases over 400 and rises to over 400 and drops to 200 at year 16, and so on.
Due to unfavorable weather and a lack of food, the number of rabbits drastically decreases during the cold winters and scorching summers. The population grows when the conditions are good, such as in the spring and summer, and the amount of land accessible shrinks as a result. As a result, there will be a dramatic drop in the amount of land that is available.
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Identify: What type of eclipse is shown in the
diagram?
Answer: a annular eclipse
Explanation:
What do you think is happening to the soda and air in the can?
The soda and air will bubble, increasing the chances of an explosion.
Carbonation in soda is made up of carbon dioxide or CO2 bubbles. Carbonated beverages are injected with this colorless and odorless gas under high pressure during manufacture until the liquid is supersaturated with gas. Individuals determined, at the discretion of the Federal Aviation Surgeon, to have a static or non-progressive disqualifying condition.
In soda ash, the dispersed phase is a gas and the dispersion medium is a liquid. Soda ash is an example of a gas that dissolves in a liquid. Shaking the can introduces many small air bubbles into the liquid, so the dissolved gas is more likely to combine with existing air bubbles and evaporate rather than form new air bubbles. By avoiding the difficult step of shaking and frothing the soda, the gas can escape faster creating more fizz.
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what is the molar mass of NaBr with solution
Sodium bromide (NaBr) has a molar mass of 102.890 grams per mole.
Why is molar mass significant?The weight of one mole of a sample is referred to as the molar mass. Multiply the subscript (number of atoms) by the atomic mass of each component of the molecule to determine its molecular mass, and then add the masses of all the components together.
How can you calculate molar mass?We first obtain the atomic weights of the individual elements in a periodic table in order to calculate the molar mass of a molecule. Then, we multiply the total number of atoms by each one's atomic mass. The molar mass is obtained by combining all of the atomic masses.
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How does the amount of energy in a wave relate to the amount of danger it poses to living things
The threat to living things increases with decreasing wavelength. While there are risks associated with longer wavelengths as well, live tissue is easily harmed by very short wavelengths like X-rays and gamma rays.
What impact do electromagnetic waves have on living things?The DNA within a living cell can be harmed by some types of electromagnetic radiation, which is radiation present in several types of light waves, including ultraviolet light as well as X-rays. Radiation-induced DNA damage can cause cell death or cancer.
Why are waves and high frequencies bad for living things?Higher-frequency waves have greater energy, and they come in a variety of wavelengths and frequencies. The atmosphere of Earth absorbs gamma rays that come from space. They can obliterate living cells, bring about mutations, and result in cancer. Ironically, gamma rays can be employed to treat cancer despite their lethal effects.
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Light of frequency 9.62 x 1014 Hz
(312 nm) strikes a surface of calcium
(Wo = 2.90 eV). How much kinetic
energy does the liberated electron
have in Joules?
The kinetic energy of the liberated electron is 1.73 x 10⁻¹⁹ J.
What is the energy of the light?
The total energy of the light is the sum of the kinetic energy of the electron and work function of the metal.
E = K.E + Ф
where;
K.E is the kinetic energy of the liberated electronФ is the work function of the metalThe total energy of the photons of light is calculated as follows;
E = hf
where;
f is the frequency of the lighth is Planck's constantE = (6.626 x 10⁻³⁴) x (9.62 x 10¹⁴)
E = 6.37 x 10⁻¹⁹ J
1 eV = 1.6 x 10⁻¹⁹ J
E = 6.37 x 10⁻¹⁹ J = 3.98 eV
The kinetic energy of the liberated electron is calculated as;
E = K.E + Ф
K.E = E - Ф
K.E = 3.98 eV - 2.9 eV
K.E = 1.08 eV = 1.73 x 10⁻¹⁹ J
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we want to design an implant step which will implant phosphorus ions through 50nm of sio 2 into an underlying silicon substrate such that the peak concentration in the substrate is 1 × 10 17 cm − 3 and the concentration at the sio 2 /si interface is 1 × 10 15 cm − 3 . what energy and dose would you use to achieve these conditions. assume that the stopping power of sio 2 is the same as that of silicon. neglect channeling effects.
According to the Gaussian distribution model, 8.8 x [tex]10^{11}[/tex][tex]cm^{-2}[/tex] energy is required to design the implant setup.
A probabilistic model called a "Gaussian mixture model" posits that all of the data points were produced by combining a limited number of Gaussian distributions with unknown parameters.
First, the mean and covariance functions of a Gaussian distribution model are the only variables that matter. Due to the fact that just the first and second order moments of the process need to be specified, this attribute makes model fitting easier. Second, it's not too difficult to solve the prediction problem using Gaussian distribution model.
Given:
At z = 50nm
C (50nm) = 1 x [tex]10^{16} cm^{-3}[/tex]
C (50nm) / Cp = 0.1
Calculations:
Using the Gaussian distribution model, the concentration as a function of depth can be related to peak concentration, Cp:
[tex]Cz = Cp * exp ( - \frac{(z - Rp)^2}{2\Delta R^2p} )[/tex]
Taking log on both sides,
[tex]\sqrt{2ln10}[/tex] = Rp – 0.05 / ΔRp = 2.416
To find an energy that gives Rp – 2.15 ΔRp = 0.05µm
(By trial and error method)
100 Kev Rp = 0.125, ΔRp = 0.035, Rp – 2.15 ΔRp = 0.048µm
120 Kev Rp = 0.15, ΔRp = 0.040, Rp – 2.15 ΔRp = 0.064µm
Interpolating linearly between 100 and 120 Kev gives about 103Kev.
At this energy, ΔRp = 0.035 µm
Therefore,
[tex]Q = \sqrt{2\pi } \Delta Rp Cp[/tex] = 8.8 x [tex]10^{11}[/tex][tex]cm^{-2}[/tex]
Result:
8.8 x [tex]10^{11}[/tex][tex]cm^{-2}[/tex] energy is required.
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20 points
Answer each of these the following three questions saying if the amount of energy is going up, down, or staying the same. Support your argument with evidence.
Since more of the daily solar energy is staying here on earth—
1-.how does this affect the amount of energy in the universe?
2-.How does this affect the amount of energy in the earth system (all of the parts of the earth put together?
3-. How does this affect the amount of energy in the atmosphere?
1. The total energy of the universe is zero.
2. Because each part of the Earth's system is interrelated, changes in one part can lead to changes in one or all other parts.
For example, when a volcano erupts, lava can flow to the surface and block nearby valleys.
This new obstacle affects the local drainage system by creating lakes and diverting rivers.
Volcanic ash and gases that can be released during eruptions can be blown high into the atmosphere and affect the amount of solar energy that can reach the surface. Temperatures across the hemisphere could drop as a result.
3. Solar radiation warms the atmosphere and is fundamental to atmospheric composition.
Atmospheric radiation is the flow of electromagnetic energy between the sun and the surface of the earth influenced by clouds aerosols and gases in the earth's atmosphere. This includes both solar radiation sunlight and longwave thermal radiation.
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a solution is made by dissolving 52.0 g of sucrose, c12h22o11, in 117 g of water, producing a solution with a volume of 125 ml at 20°c. what is the expected osmotic pressure at 20°c?
The osmotic pressure is the least amount of pressure that must be applied to a solution in order to block the passage of the solution's pure solvent through a semipermeable membrane. Additionally, it is described as a measurement of a solution's propensity to osmotically absorb a pure solvent.
Temperature and concentration both have an impact on osmotic pressure. Temperature and solute concentration both have an impact on how much pressure is generated when water moves through a membrane. Osmotic pressure rises with temperature and concentration.
The osmotic pressure formula is
Op = C*R*T*i
where, Osmotic pressure is unknown, therefore OP
C = moles/liter of solution multiplied by the molarity of the solution.
Mass of sucrose or molar mass of sucrose equals a mole of sugar.
sucrose mass=52g
Sucrose's molar mass is 342g/mol (C12H22O11).
thus, 52/342 = 0.152 moles of sucrose.
Moles per liter of solution equals the solution's molarity.
117mL*1L/1000mL = 0.117L when converting from 117mL to liters where 1000mL = 1L
the solution's molarity is 0./0.117=1.299M.
R = 0.0821 L atm/mol/K, the universal gas constant.
20 degrees Celsius are converted to Kelvins using the formula T = absolute temperature = degrees in Kelvin. 20+273=293K
The van't Hoff Factor equals 1.
subsequently, the OP = 1.299*0.0821*293*1=31.24atm.
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chemistry 1.17 living by chemistry answers?
Answer:
Where's the actual question so we can help?
Explanation:
I don't see a question I can help with
30.00 g of a solid compound x contains 63.3% mn and 36.7% o by mass. when x is heated, 3.68 g of oxygen gas is evolved and a new solid compound y containing mn and o is formed.
The inorganic chemical with the formula MnO2 is manganese dioxide. Pyrolusite, a naturally occurring mineral and the primary manganese ore and component of manganese nodules, is this dark-brown to blackish solid.
Manganese is a chemical element with the atomic number 25 and the letter Mn in its name. In minerals, it is a hard, brittle, silvery metal that is frequently present next to iron. Manganese is a transition metal used mostly in the production of stainless steels and other industrial alloys.
Assume X weighs 100
Moles of Mn
= 54.94 /
63.3 (1 /54.94 ) = 1.51
Moles of O
= 16.00 /
36.7 (1 /16.00 ) = 2.29
the number of moles divided by the smallest (1.15 mol)
Mn O
1.15 /1.15 = 1.00
2.29 /1.15 = 1.99
Empirical Formula
MnO2
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you gently shake an amine, a carboxylic acid, and a phenol in a separatory funnel with ethyl acetate and aq naoh. which one of the following will be true?
The amine will remain in the upper organic (ethyl acetate) layer, while the phenol and the carboxylic acid will be in the lower aqueous layer. Effectively, a separation of amine will be achieved using basic extraction technique.
Sodium hydroxide (NaOH) makes a basic solution when dissolved in water. It will react with the acidic components of the analyzed mixture during extraction. Amine is also basic, so it will not interact with sodium hydroxide and will remain in the organic layer. Carboxylic acid is, as the name implies, acidic, and thus will be neutralized by sodium hydroxide, forming a water-soluble sodium carboxylate salt, which means that it will be removed from the organic layer. Phenol is also acidic enough to be neutralized by sodium hydroxide, so it will also form a water-soluble salt (sodium phenoxide) and be removed from the organic layer.
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URGENT!!
please help me figure this out :)
The variables of the ideal gas equation and their units of measurement are as follows:
P = pressure; atm, bar, mmHgV =volume of the gas; L, dm³ n = number of moles; molesT = temperature of the gas; KR = molar gas constant; L.Pa/K/molWhat is the formula of the ideal gas equation?The ideal gas equation is an equation that shows the relationship between the four parameters used in gas measurements.
The four variables are:
volumepressuretemperaturenumber of molesThe ideal gas equation is given below:
PV = nRT
where:
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The air pressure in a tank is measured using an inclined manometer whose arm is inclined 45 degree from the horizontal line. The densities of the air and water are 1. 225 kg/m3 and 1000 kg/m3, respectively. Determine the gauge pressure of air in the tank.
The gauge pressure of air in the tank is Pg= 1.076 psi
Gauge pressure (sometimes written as "gauge pressure") is measured relative to the local atmospheric pressure. Gauge pressure is thus zero when the pressure is the same as atmospheric pressure. Gauge pressure is indicated by pg, and is related to absolute pressure as follows: pg = p - pa, where pa is the local atmospheric pressure.
Given these data
Density of air = 1.225 kg/m3
Density of water = 1000 kg/m3
Note that the absolute pressure of air in the tank = 100kpa
Acceleration due to gravity = 9.8 m/s2
P=hρg
100 = h * 1000* 9.8
h = 98m
So replacing the value of h to calculate the atmospheric pressure
P=hρg
P= 98 *1.225*9.8
P= 1176.49
Substitute these values into the formula
Pg= p - pa,
Pg= 1176.49-100
Pg= 1.076 psi
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BRAINLEST If I were to change the 4 (4H2O) in the above problem, to a 2, what would happen to the amount of hydrogen and oxygen present?
Answer:
i didn't understand the question properly but i think the answer will be that amount of hydrogen will decrease while amount of oxygen will be same
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Write a paragraph explaining the mechanism of a newton's cradle. Include which law the cradle represents and the forces acting upon it. Also, what are some factors that can prevent the cradle form working?
The Newton Cradle is device that could be used to explain the Newton third law of motion but its working could be hampered by friction.
What is the newton's cradle?We need to recall that Isaac Newton was a scientist whos research centered a lot around the reason for motion. In his studies, we can see that force is the reason for motion. As such, an object tends to move when the object have been acted upon by a system of unbalanced forces.
The Newton Cradle is a system that could be used indicate the principle of the conservation of linear momentum as we can see from the Newton third law. Recall that from the Newton third law; action and reaction are equal and opposite.
Having said this, we can see that the force that acts on one end of the sphere is transmitted across the spheres such that the last sphere across also moves upwards. The sphere could be prevented from working by friction.
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using periodic table write full electron configuration of bromine so that all subshells in each principle energy cell are grouped together
The atomic number 35 and symbol Br identify the chemical element bromine. The third-lightest halogen, it is a volatile reddish-brown liquid that easily evaporates to produce a vapour of a similar color. Its characteristics fall in between iodine and chlorine.
Bromine's electron configuration is [Br]4s^2.3d^10.4p^5
A maximum of two electrons can fit into a s subshell, six into a p subshell, ten into a d subshell, and fourteen into a f subshell.
The maximum number of electrons in a subshell and the number of orbitals may both be calculated using the angular momentum quantum number, l, which stands for various subshells. These quantities can be found using the formulas 2 ( 2 l + 1 ) and 2 l + 1 correspondingly.
The s subshell is represented by a l of 0, the p subshell by a l of 1, the d subshell by a l of 2, and the f subshell by a l of 3.
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