The number of way to select people from a total of a people is a! /b!·(a-b)!
plugging in 15 for A and 6 for B
P= 15! / 6!(15-6)!
P= 1307674368000 / 720·9!
P= 1307674368000 / 362880
P= 360360
By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.
Here, the differences between permutation and combination are described in detail. Here, we'll talk about both subjects with formulas, examples from everyday life, and questions that have been answered. Students can also work on the Permutation and Combination Worksheet to improve their understanding of this subject and learn shortcuts for answering additional questions.
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assume there exists some hypothetical metal that exhibits ferromagnetic behavior and that has 1 simple cubic crystal structure, and atomic radius of 0.130 nm and a saturation flux density of 0.75 tesla. determine the number of bohr magnetons per atom for this material
The number of bohr magnetons per atom for this material is 1.14 when some hypothetical metal that exhibits ferromagnetic behavior and that has 1 simple cubic crystal structure.
Given atomic radius of crystal structure (r) = 0.130nm
saturation flux density of crystal structure = 0.75tesla
We know that n = M/µN = B/µ0µN
n = BVc/µ0µN where Vc is the volume of crystal and B is bohr magneton
n = B(2r)^3/µ0µN = 0.75x(2x0.130x10-9)^3)/(1.25x10-26x9.27x10-24)
n = 13.18x10-30/11.5x10-50 = 1.14x10^20
Hence the number of bohr magnetons per atom for this material is 1.14 .
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Light passing through a transparent medium has a wavelength of 466 nm and a frequency of 6.20 × 1014 s-1. What is the speed of the light in the medium?
Speed =frequency × wavelength
=466 x 6.20 x [tex]10^{14}[/tex]
=2.8892 x [tex]10^{17}[/tex] m/s
What is the speed of light?
The rate at which light waves go through various materials at the speed of light. Specifically, the speed of light in a vacuum is presently calculated to be 299,792,458 metres per second.
One of nature's basic constants is the speed of light. Its importance extends far beyond its use in characterizing an aspect of electromagnetic waves. It acts as the universe's only limiting velocity, setting an upper limit on both the speed of all material particles and the speed at which signals can travel. The speed of light (c) acts as a constant of proportionality in the well-known relativity equation, E = mc2, connecting the heretofore dissimilar ideas of mass (m) and energy (E).
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A science class is going to do an experiment to investigate how water temperature changes the rate at which salt dissolves in water. What tool will be needed to measure the temperature of the water?
Answer:
thermometers
Explanation:
Answer: thermometer
Explanation: trust me ;)
How many moles exist in 3,000,000 particles of gold (Au)?
Answer:
4.98 x 10^-18 mole
Explanation:
1 mole has 6.022 x 10^23 particles
so 3,000,000/(6.022 x 10^23) = 4.98 x 10^-18 mole
Ren runs a hamburger stand and needs to clean up a season’s worth of grease buildup on the range hood over his griddle. Explain what he should look for in a cleaning product that can handle a layer of grease. what is this
To clean away a season's worth of grease buildup, Ren, who owns a hamburger business, would need to use those caustic chemicals, which are the type of cleaning product to look for.
Explain use of caustic chemicals.
One of caustic chemicals' primary applications is cleaning drain pipes. It can also be used to create soap and detergents, unclog drains, and remove grease buildup from ovens. Given all of its functions, it is a useful item to have about the house. Chlorine bleach is made by mixing sodium hydroxide with chlorine in a manufacturing process.
To dissolve the grease, these caustic chemicals might be used. Hot water can be used to rinse the grease once it has been broken down. To soften the grease buildup, these chemicals should be given time to sit on the grease's surface.
Ren ought to make use of a base-containing cleaning solution. This is because lipids, the type of chemical that makes up grease, react well with bases. Using a base, the grease would be broken down to create soap, which would then
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The chemical formula for barium oxide is BaO.
A chemist determined by measurements that 0.085 moles of barium oxide participate in a chemical reaction. Calculate the
mass of barium oxide that participates.
Round your answer to 2 significant digits.
Answer: 9.97 g (corrected to 3 significant figures.)
Explanation:
mass = no. of moles x molar mass
Atomic mass of Barium = 137.327; oxygen = 15.999,
so the molar mass of BaO = 137.327 + 15.999
=153.326
Hence, the mass is
0.065 x 153.326
=9.97 g (corrected to 3 significant figures.)
Victor put a match on a balance and found that its mass was 6.0 grams. Then he lit the match and put it out after a few seconds.
He put the partially burned match on the balance again. This time, its mass was 4.5 grams.
Which of the following best explains what happened as the match burned?
A.
Some of the matter changed from solid to gas and went into the air.
B.
The matter moved to a different part of the match.
C.
Some of the mass was destroyed by the fire.
D.
The mass of the match combined with the mass of the fire.
Place the cursor at the start of the text, then press CTRL+SHIFT+DOWN ARROW. Press CTRL+SHIFT+UP ARROW after advancing the cursor to the end of the paragraph. The Correct option is B.
How do you move the first sentence to the end of the paragraph in Word?The Ctrl+A keyboard shortcut in Word allows you to select all text in a document, and you can also use the mouse or keyboard to pick out individual words or objects from tables. Text or objects that are located in various locations can also be chosen. You can choose, for instance, a sentence from one page and a paragraph from another.The entire textIn the document, click anywhere.You can pick every word in the document by pressing Ctrl+A on your computer.The particular wording you wantAdditionally, you have the option of choosing a specific word, line of text, or one or more paragraphs.Your cursor should be placed in front of the first letter of the word, sentence, or paragraph you want to pick.To pick a text block, click and hold while dragging the cursor over it.Other options for selecting textQuickly click and drag the mouse over a word to choose it.By positioning your cursor at the beginning of a line of text and pressing Shift + down arrow, you can pick that line of text.Put your cursor at the beginning of the paragraph, then hit the down arrow while holding down the Ctrl and Shift keys to select the paragraph.To Learn more About end of the paragraph refer to:
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Classify the components as most accurately describing cofactors, coenzymes, or neither. Cofactors Coenzymes Neither ascorbic acid
Ascorbic acid can be defined as an electron donor and therefore it functions as a cofactor for diverse chemical reactions.
What is a cofactor of diverse chemical reactions?A cofactor of diverse chemical reactions can be defined as a non protein compound that is required for the enzyme, i.e., by the protein, in order ti can function normally such as occurs with ascorbic acid for many diverse chemical reactions that involve metabolic pathways in mammalian cells.
The cofactors are molecules that provide the required for the enzyme to function such as an electron donor required to the forming of the enzyme-substrate complex during anabolic pathways.
Therefore, with this data, we can see that a cofactor of diverse chemical reactions is able to provide the enzymes the help in order to carry out chemical reactions such as the conversion of one substrate to a product.
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this is the chemical formula for talc (the main ingredient in talcum powder): an analytical chemist has determined by measurements that there are moles of magnesium in a sample of talc. how many moles of oxygen are in the sample? be sure your answer has the correct number of significant digits.
Mg3 (Si,03),(OH), is the chemical formula for talc: an analytical chemist has determined by measurements that there are 90.4 moles of magnesium and 2.43 moles of oxygen in a sample of talc.
Talcum powder is formed from talc. Talc is a mineral created up primarily of metallic element, silicon, and oxygen. As a powder, it absorbs wet well and helps weigh down on friction, creating it helpful for keeping skin dry and serving to forestall rashes.This mineral is employed as a thickening agent and stuff. It's an ingredient in ceramics, paints, and building material.
Talc is a hydrous magnesium sheet salt with the statement Mg3Si4O10(OH)2. The elementary sheet consists of a layer of magnesium-oxygen/hydroxyl octahedra, sandwiched between 2 layers of siliconoxygen tetrahedra.
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Would you expect to find calcium metal used in conducting wire or
structural materials? Why or why not?
No, we would not expect to find calcium metal used in conducting wire or structural materials. In its pure metallic form, calcium is unstable and unfit for any structural use.
Why aren't calcium-based electrical lines used?
High temperatures cause calcium to burn in the air, creating nitride and oxide. When it combines with water, hydrogen is produced. Therefore, on Earth, it cannot serve as an electrical conductor.
Is calcium an electrical conductor?
Because metals contain moving electrons, they are effective conductors of electricity. Calcium is a metal. Iodine is a non-metal, and since non-metallic elements lack mobile electrons, they are typically poor conductors or non-conductors of electricity. Consequently, solid iodine does not conduct electricity while solid calcium does. The steel cladding of the silicon-calcium alloy cored wire is covered in silicon calcium powder.
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A 75 mL sample of He gas is at 97°C and 0.975 atm. If the sample is cooled to 29°C and the pressure is increased to 1.25 atm, what will the new volume be?
2194.14is the new volume .These laws are described by equations that are variations on the ideal gas law, PV is nRT
How would you determine the volume, temperature, pressure, and amount of gas in a sample under the circumstances?These laws are described by equations that are variations on the ideal gas law, PV = nRT, where P is the gas's pressure, V is its volume, n is the number of moles in the gas, T is its kelvin temperature, and R is the ideal (universal) gas constant.The ideal gas law, PV = nRT, should be reviewed first. P is the ideal gas constant, V the volume in liters, n the number of particles in moles, T the temperature in Kelvin, and n the number of atmospheres in this equation (0.0821 liter atmospheres per moles Kelvin).These laws are described by equations that are variations on the ideal gas law, PV = nRT, where P is the gas's pressure, V is its volume, n is the number of moles in the gas, T is its kelvin temperature, and R is the ideal (universal) gas constant.Explanation:
The ideal gas law, PV = nRT,
97 * 0.975*29 = 2742.675/1.25 = 2194.14.
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For 55.0seconds, Trevor was hang gliding at a constant velocity. In that time, he moved 583meters to the southeast, and a flock of Canada geese flew past him at 17 meters per second. What was Trevor's velocity?
The velocity of the Trevor is equal to 10.6 m/s.
What is velocity?Velocity is a vector quantity and can be defined as the change in position of the object (∆x) divided by the time intervals (∆t) in which it takes place. The velocity can be positive or negative and the S.I. unit is m/s.
The velocity of the object = ∆x/∆t
Given, the distance covered by Trevor = 583 m
The time is taken by Trever to cover this distance, t = 55 s
The Trevor's velocity = 583/55 = 10.6 m/s
Therefore, the velocity of the Trevor is 10.6 m/s, and therefore the flock moves at 17 m/s past him.
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A calorie is defined as the amount of energy required to raise the temperature of one lb of water by one degree celsius.
a. Trueb. False
Answer: The answer is true
Explanation:
what is the solubility (in moles/liter) of pbcl2 in a solution that is 0.15 m solution in hcl? (ksp pbcl2
the solubility (in moles/liter) of pbcl2 in a solution that is 0.15 m solution in hcl? (ksp pbcl2
Solubility of PbCl2 = 7.11×10−4 mol⋅L−1
The maximum amount of a chemical that will dissolve in a given amount of solvent at a given temperature is referred to as its solubility. Varying compounds have very different solubilities, which is a characteristic of a particular solute-solvent pair.What is solubility, for instance?
A typical illustration of a solution is the addition of sugar cubes to a cup of tea or coffee. Solubility is a quality that aids in the dissolution of sugar molecules. Thus, the ability of a substance (solute) to dissolve in a specific solvent can be defined as solubility.
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Consider a PTFE molecule adjacent to a PVC molecule. Select all of the secondary bonding types that exist between these two molecules. hydrogen bonding interactions between temporarily induced and permanent dipoles interactions between dipoles that are temporarily induced B covalent bonding D ionic B metallic bonding D interactions between permanent dipoles
Choose every kind of secondary bonding that these two molecules have. 2 metallic hydrogen bonding dipoles that are both momentarily induced.
There are three different forms of interactions between molecules that result in these attractive forces: Dipole interactions, hydrogen bonding interactions, and molecule-molecule interactions are the order in which they occur (London dispersion forces). Polar molecular bonding produces hydrogen bonds, the strongest type of secondary bonding. Choose every kind of secondary bonding that these two molecules have. 2 metallic hydrogen bonding dipoles that are both momentarily induced. These can develop in water or hydrogen fluorides, for instance. When the electrons in two nearby atoms hold positions that cause the atoms to temporarily form dipoles, the consequence is the London dispersion force, a transient attractive force. Unlike main bonds, secondary bonds have substantially lower bonding energies.
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Which characteristic does inertia describe? responses how long an object is how long an object is how large an object is how large an object is how fast an object is moving how fast an object is moving how difficult it is to change an object's motion
Option C, Inertia describes how difficult it is to change the motion of an object.
What is meant by Inertia?The Latin term inerus, which meaning inert or slow, is where the word inertia originates. It may also refer to an object's resistance to a change in velocity.An object is said to have inertia if no external force forces it to change its speed or direction from its current state. Newton's first law of motion included a description of the concept of inertia. It is a propensity to do nothing or to do nothing different.Unless acted upon by an unbalanced force, an object remains at rest and an object in motion will remain to move at a constant speed and in a straight line. This is known as Newton's first law of motion (inertia).Learn more about Inertia refer to :
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potassium dichromate, k2cr2o7, is used in tanning leather, decorating porcelain, and water proofing fabrics. calculate the number of chromium atoms in 78.82 g of k2cr2o7..
The number of chromium atoms present in 78.82 g of potassium dichromate are 2.98×[tex]10^{23}[/tex]
Molecular mass is the molar mass, or M, is a physical characteristic in chemistry that is defined as the mass of a particular substance divided by the quantity of that material. For molar mass, the fundamental SI unit is kg/mol. One mole is a collection of 6.022 ×10²³ particles, be the atoms, molecules, ions , electrons, photons or any other things. This value of 6.022 ×10²³ is the Avogadro's number.
1 mole [tex]K_{2}Cr_{2}O_{7}[/tex] = 294.18 g [tex]K_{2}Cr_{2}O_{7}[/tex] contains 2 moles Cr = 2×6.023 × [tex]10^{23}[/tex]Cr atoms.
So, 72.8g [tex]K_{2}Cr_{2}O_{7}[/tex] contains (72.84/294.18)×2×6.023×[tex]10^{23}[/tex] Cr atoms
= 2.98 × [tex]10^{23}[/tex]
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if the mass ratio of k to f in a compound is 2.06, how many grams of f are needed to react with 2.30 of k?
To determine the number of grams of element "f" needed to react with 2.30 grams of element "k", you can use the mass ratio provided in the problem. First, let's call the mass of "f" that is needed x. The mass ratio tells us that the mass of "f" is 2.06 times the mass of "k", so we can set up the following equation:
2.06 * x = 2.30
To solve for x, we can divide both sides of the equation by 2.06:
x = 2.30 / 2.06
This simplifies to:
x = 1.12 grams
Therefore, 1.12 grams of element "f" are needed to react with 2.30 grams of element "k".
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assume there exists some hypothetical methat that exbihits ferromagnetic behavior and that has 1 simple cubic crystal strecutre, and atomic radius of 0.130 nm and a saturation flux density of 0.75 tesla. determine the number of bohr magnetons per atom for this material
When compared to a hypothetical ferromagnetic metal with a single simple cubic crystal structure, this substance possesses 1.14 bohr magnetons per atom.
Given that the cubic crystal atomic radius (r) is 0.130 nm
crystal structure's saturation flux density is equal to 0.75 tesla.
We are aware that n = M/N = B/0N.
n = BVc/0N, where BVc is the bohr magneton and Vc is the volume of the crystal.
N = 0.75x(2x0.130x10-9)3)/n = B(2r)3/0 (1.25x10-26x9.27x10-24)
n = 13.18x10-30/11.5x10-50 = 1.14x10^20
Therefore, this cubic crystal substance has 1.14 bohr magnetons per atom.
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Compare and contrast sigma and pi bonds, including their shape and properties.
Sigma bonds are known to have cylindrical charge symmetry around the axis of the bond. No symmetry exists in pi bonds. Atoms with sigma bonds are less reactive. Atoms with pi bonds are highly reactive when compared to those with only sigma bonds.
8) Is there more gravitational force on the earth or moon? Why?
Answer:
Explanation:
So, to begin answering your question, Earth has a greater gravitational pull than the moon simply because the Earth is more massive. The moon's gravitational pull also affects Earth, though; the rising and falling of the tides are an effect of the moon's gravity. HOPE THIS HELPS ^^
3. Which hereditary disease results in difficulties with breathing and with digesting food?
muscular dystrophy
hemophilia
O
Down syndrome
cystic fibrosis
Answer:
cystic fibrosis
Explanation:
The cells that make mucus, perspiration, and digestive fluids are impacted by cystic fibrosis. These fluids start to thicken and cling together as a result. They then block off all of the tubes, ducts, and passages.
What is mechanical advantage? A. output work divided by input work. B. Input work divided by output work. C. Input force divided by output force. D. Output force divided by input force. please help!! If you answer correctly i'll give you 5 stars!!
Output force divided by input force is the mechanical advantage.
Why is it referred to as mechanical advantage?A tool, mechanical device, or machine system's ability to amplify force is known as its mechanical advantage. The system simply balances forces against movement in order to achieve the desired output force amplification while maintaining the input power. The law of the lever can be used as an example for this.
Levers and pulleys are examples of simple machines that use mechanical advantage, a measurement of the ratio of output force to input force in a system.
A calculation known as a mechanical advantage quantifies the amplified force that a mechanical system absorbs. It provides the ratio of force applied to the load to force required to overcome that force. Since the two ratio quantities are the force, the expression has no units.
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which set of elements is arranged in order of increasing electronegativity? which set of elements is arranged in order of increasing electronegativity? ga < ge < p < n p < n < ge < ga ge < n < ga < p n < p < ge < ga
The electronegativity is n < p < ge < ga.
What is electronegativity?Electronegativity is a measure of an atom's ability to attract electrons when it forms a chemical bond with another atom. It is based on the Pauling Scale, which assigns values to elements based on their tendency to attract electrons when they form bonds. Electronegativity increases from left to right across the periodic table, and increases from the bottom to the top of the periodic table.
The correct answer is n < p < ge < ga. This is because electronegativity increases as we move down a group in the periodic table and from left to right across a period.
Therefore, the element with the highest electronegativity is at the bottom right corner of the periodic table, which is gaseous, followed by Germanium, Phosphorus, and then Nitrogen.
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write a paragraph using the words atom, element, compound, and mixture.
Which two bonds are least similar in polarity?
Select one:
a. I-Br and SiCl
b. B-F and Cl-F
c. C-Cl and Ge-Cl
d. O-F and Cl-F
e. Ga-Cl and I-Br
Answer:
Explanation:
hooki
how many atoms of mercury are in a spherical drop of mercury (hg) that has a diameter of 1.0 mm. (dhg
There are 2.1 atoms of mercury.
Calculation:
Convert 0.0000355 mol of Hg to the '# of atoms of Hg' using Avagadro's number.
Avagadro's constant = 6.022 * 1023 atoms/ mole.
Hence 'number of atoms of Hg' in the given drop of mercury is
= 0.0000355 mol of Hg * 6.022 10²³ atoms of Hg 1 mole Hg
= 2.14* 1019 atoms of Hg.
In question, we are given 1.0 mm in 2 significant figures, so our final answer must also be in 2 significant figures.
Hence the number of atoms of Hg in a given drop of mercury is 2.1x10¹⁹ atoms Plugin 2.1.
Mercury is the smallest planet in the solar system and the closest to the sun. Its orbit around the Sun lasts 87.97 Earth days, making it the shortest of any planet in the solar system.
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What makes a field forever unique?
From cotton fields to corn stalks, if this is what you mean, a forever field is unique in its own way by keeping all types of plants in the field. They are all different in how they grow and what they do.
consider a solution containing 0.100 m naf and 0.126 m hf. calculate the concentration of fluoride ion after addition of 5.00 ml of 0.100 m hcl to 25.0 ml of this solution.
The Concentration of a Fluoride ion is [tex]0.0667 M[/tex]
The Hf and Fluoride ion makes a buffer system which can be written as :
[tex]HF\Longleftrightarrow H^{+} +F^{-}[/tex]
[tex]K_{a} =[H^{+}][/tex] X [tex]\frac{[F^{-} ]}{[HF]}[/tex]
both the buffer components are in the same final volume so we can simplify the equation as :
[tex]K_{a}=[H]^{+} \times \frac{[n_{F^{-} }] }{[HF]}[/tex]
before the reaction :
moles of hcl = v x c = (0.00500)L x (0.100)M=[tex]0.000500mol[/tex]moles of hf = v x c=(0.0250)L x (0.126)M=[tex]0.00315mol[/tex]moles of fluoride ion = v x c= (0.0250)L x (0.100)M=[tex]0.00250mol[/tex]hcl will react with fluoride to produce more hf:
after reaction:
moles of hf= [tex]0.00315 +0.000500[/tex]=[tex]0.00365mol[/tex]moles of fluoride = [tex]0.00250-0.000500[/tex]=[tex]0.00200mol[/tex]final volume = [tex]0.0250+0.005[/tex]=[tex]0.0300L[/tex]molarity of fluoride = = [tex]\frac{0.00200mol}{0.0300L}[/tex]= [tex]0.0667M[/tex]learn more concentration problems.
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how many times acidic is pOH 12 than pOH 10
Answer:
100x less acidic
Explanation:
pOH is the inverse of pH, which is a measure of the acidity or basicity of a solution. The lower the pH of a solution, the more acidic it is, and the higher the pOH, the less acidic it is.
To determine how many times more acidic a solution with a pOH of 12 is compared to a solution with a pOH of 10, we can use the formula:
pH1 / pH2 = 10^(pOH1 - pOH2)
In this case, we are given that the pOH of the first solution is 12 and the pOH of the second solution is 10. We can plug these values into the formula to calculate the ratio of acidity:
pH1 / pH2 = 10^(12 - 10)
= 10^2
= 100
Therefore, a solution with a pOH of 12 is 100 times less acidic than a solution with a pOH of 10.
