Answer:
There are 1.806×10²⁴ atoms in 3 moles of iron.
Explanation:
Step 1:
Data obtained from the question
Number of mole of Fe = 3 moles
Number of atom =?
Step 2:
Determination of the number of atom.
From Avogadro's hypothesis, we understood that:
1 mole of Fe = 6.02×10²³ atoms
Therefore,
3 moles of Fe = 3 × 6.02×10²³ atoms
3 moles of Fe = 1.806×10²⁴ atoms
Thus, 3 moles of iron, Fe contains 1.806×10²⁴ atoms.
In air, a sound wave with a frequency of 196 hz has a wavelength of about 1.76 meters. what is the wavelength of a wave if the frequency is increased to 784 hz?
The wavelength of the sound wave if the frequency is increased to the given value is 0.44m.
Wavelength
Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.
It is expressed as;
[tex]\lambda = \frac{v}{f}[/tex]
Where v is velocity and f is frequency.
Given the data in the question;
Frequency of sound wave a; [tex]f_a = 196Hz = 196s^{-1}[/tex]Wavelength of sound wave a; [tex]\lambda _a = 1.76m[/tex]Speed of sound wave; [tex]v =\ ?[/tex]
Frequency of sound wave b; [tex]f_b = 784Hz = 784s^{-1}[/tex]Wavelength of sound wave b; [tex]\lambda _b = ?[/tex]
First, we calculate the velocity of the sound wave in air from sound wave a.
[tex]\lambda = \frac{v}{f}\\ \\1.76m= \frac{v}{196s^{-1}}\\\\v = 1.76m * 196s^{-1}\\\\v = 344.96m/s[/tex]
Now, we determine the wavelength of sound wave b using the velocity of sound wave in air calculated above.
[tex]\lambda = \frac{v}{f}\\ \\\lambda = \frac{344.96m/s}{784s^{-1}}\\\\\lambda = 0.44m[/tex]
Therefore, the wavelength of the sound wave if the frequency is increased to the given value is 0.44m.
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Answer:
It decreases by 1.32 meters.
Explanation:
The other person was wrong.
Rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-go-round.
The angular speed simply describes the way that things turn which is described in units such as revolutions per minutes, degree per seconds, etc.
What is angular speed?Your information is incomplete as the diagram isn't provided. Therefore, an overview will be given.
It should be noted that angular speed simply means the measure of how fast the central angle of the rotating body changes with respect to time.
The angular speed is simply calculated by multiplying the angle of rotation and the time taken to complete the rotation.
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For 2-methylbutane, the ∆h° of vaporization is 25. 22 kj/mol and the ∆s° of vaporization is 84. 48 j/mol･k. At 1. 00 atm and 201 k, what is the ∆g° of vaporization for 2-methylbutane, in kj/mol?
The Gibbs free energy ΔG for the vaporisation of 2-methylbutane, in KJ/mol is 8.24 KJ/mol
Data obtained from the question Enthalpy change (ΔH) = 25. 22 KJ/mol Change in entropy (ΔS) = 84.48 J/Kmol = 84.48 / 1000 = 8.448×10¯² KJ/KmolTemperature (T) = 201 KGibbs free energy (ΔG) =? How to determine the Gibbs free energyThe Gibbs free energy for the reaction can be obtained as follow:
ΔG = ΔH – TΔS
ΔG = 25.22 – (201 × 8.448×10¯²)
ΔG = 25.22 – 169.8048
ΔG = 8.24 KJ/mol
Thus, the ΔG for the reaction is 8.24 KJ/mol
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A food worker needs to measure the temperature of hot held casserole
Answer:
he should measure it with a thermometer that sticks into the dish.
Explanation:
Hope this helps you :)
Lesson 27 making statistical inferences answer key
A statistical inference is a process through which a researcher or analyst makes inferences about a population based on the statistics calculated from the sample.
What is the use of Statistical Inference?The purpose of statistical inferences are:
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A construction company is building a new neighborhood hackerrank
The building of a hacker rank is one that cost a lot of money and as such the minimum cost is 4.
What is the minimum cost?The minimum cost is the lowest cost that is needed to complete a building. It depends on:
The cost of each type of house to be built (e.g. cost of a wood house, cost of a brick house, etc.)The number of the type of house to be built e.g. 2 03 3 or even more.When one is given input such as : [[1,2,3],[1,2,3],[3,3,1]] (the values in column stands for the cost of materials)
The output : 4
So you have to:
Select material-1 of cost 1 in first house(row)
Select material-2 of cost 2 in second house(row)
Select material-3 of cost 1 in third house (row)
total = 1+2+1 -> 4
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Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = −74.
Answer:
-74 is -144
Explanation:
Hope it helps <3
Answer:
-74 is -144
Explanation:
hope it help
A triangle has side lengths of 34 in 28 in and 42 in
Answer:
quizlet/494283439
Explanation:
I used this for my test not sure if im too late or not but here it for future students
Also the quizlet is wrong on a few questions (im not sure if its like this for everyone but it was like this for me):
6. B.292.3 meters
7. B.154 ft
8. D.912 meters
9. A.307 feet
Again these were the correct answers for me not sure if its the same for everyone they might have changed it.
(Also, I'm not sure about 11-15 bc my teacher said i didnt have to do those ones) Hope this helps :))
4-4 skills practice parallel and perpendicular lines
An example of parallel and perpendicular lines are the steps walk of a straight ladder, the opposite sides of a rectangle.
How do you find parallel and perpendicular lines?When there are two non vertical lines that are in found to be in the same plane such as the same slope, then a person can say that the lines are parallel.
But when two non-vertical lines in that are same to be of the same plane intersect at a right angle one can therefore say that they are perpendicular lines.
An example is "write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation". The equation that fits the graph (attached) is y = 2x + 1.
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Why does it rain more in west ferris than in east ferris
the elastic rebound theory for the origin of earthquakes was first proposed by ________ following the ________ earthquake.
Answer:
1. 1906 2. San Francisco
"if i eat spicy foods, then i have strange dreams." "i have strange dreams if there is thunder while i sleep." "i did not have strange dreams."
The expression "i did not have strange dreams." validates the statements below "I did not eat spicy foods" and "there is no thunder while I sleep"
Validity of Logical StatementsIn this exercise, the person gave three logical statements which are
"if i eat spicy foods, then i have strange dreams." "i have strange dreams if there is thunder while i sleep.Now since the person did not have/ experience strange dream, this proves that the person did not eat spicy food and there was not thunder while the person was asleep.
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7-3 mortgage application process worksheet answers
The mortgage process is known to be a very complicated on but its involves:
Pre-approvalHouse shoppingMortgage applicationLoan processingUnderwriting Closing.What occurs when a mortgage application is submitted?When one has submitted papers for a mortgage, The lender will have to review your application and documentation and see if one qualifies.
They often check the property through the act of lender's valuation. and by the reviewing of your application and the result of the valuation, they will make final decision regarding if they will give you or not.
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block x of mass m slides across a horizontal surface where friction is negligible. block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. after the collision, both blocks slide together with a speed vs , as shown in figure 2.
The kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².
Kinetic energy of the blocks before collisionThe kinetic energy of the blocks before the collision is calculated as follows;
For a negligible friction effect, the kinetic energy of the two - block system after the collision is equal to the kinetic energy before the collision.
K.E(initial) = K.E(after)
K(after) = ¹/₂(m₁ + m₂)vs²
K(after) = ¹/₂(m + 2m)vs²
K(after) = ¹/₂(3m)vs²
[tex]K.E(after) = \frac{3}{2} Mv_s^2[/tex]
Thus, the kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².
The complete question is below:
block x of mass m slides across a horizontal surface where friction is negligible. block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. after the collision, both blocks slide together with a speed vs , as shown in figure 2.
What is the kinetic energy of the two-block system before the collision?
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A rod is laid out along the x-axis with one end at the origin and the other end at x = l. the linear density is given by the following: rho(x) = rho0+(rho1-rho0)(x/l)2, where rho0 and rho1 are constant values.
The center of mass of the rod of length L whose mass density changes from one end to the other quadratically is; X_cm = ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)
What is the center of mass?The formula for the center of mass of a body is defined as;
X_cm = (1/M) ∫r.dm
Where;
X_cm is the position of the center of mass
M is the total mass of the body
r is the position with respect to an origin
The density of a body is the relationship between two of its magnitudes that change constantly and so we have;
ρ = m/x
Applying small changes and we have;
ρ = dm / dx
dm = ρ*dx
We are given the expression;
ρ₀ = ρ₀ + (ρ₁ -ρ₀) (x/L)²
Thus;
dm = (ρ₀ + (ρ₁ -ρ₀) (x/L)²)dx
Since the whole system is on the x-axis, we integrate from the initial point x = 0 to the upper limit X = L. This gives;
X_cm = M⁻¹ ∫ x [ρ₀ + ( ρ₁-ρ₀) (x/L)²] dx
X_cm = M⁻¹ [∫ ρ₀ x dx + I (ρ₁-ρ₀) / L² x³ dx]
X_cm = M⁻¹ [ρ₀ x²/ + (ρ₁ -ρ₀) / L² x⁴/4]
X_cm = M⁻¹ [ρ₀/2 (L2-0) + (ρ₀₁ -ρ₀) /4L² (L⁴-0)
X_cm = M⁻¹ [ρ₀ L²/2 + (ρ₁ -ρ₀)/4 L²]
X_cm = M⁻¹ L² [ρ₀/4 + ρ₁/4]
X_cm = M⁻¹ L²/4 ( ρ₀ +ρ₁)
The only parameter that we don't know explicitly is the total mass, but we can look for their relationship using the concept of density.
M = ∫dm = ∫ρ.dx
M = ∫[ρ₀ + (ρ₁ -ρ₀)/L²x²] dx
We integrate between the limits of integration x = 0 and x = L to get;
M = ρ₀ x + (ρ₁ -ρ₀)/L² *x³/3
M = ρ₀ L + (ρ₁ -ρ₀)/3L² L³
M = ρ₀ L + (ρ₁-ρ₀)/3 L
M = L(ρ₀ + ρ₁/3 -ρ₀/3)
M = L(2/3 ρ₀ + ρ₁/3)
M = ¹/₃L(2ρ₀ + ρ₁)
We will replace and simplify in the center of mass equation to get;
X_cm = ¹/₄L²[ρ₀ + ρ₁] / [L/3 (2ρ₀ + ρ₀)/L]
X_cm = ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)
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True or false: person vs. self is the only internal conflict.
the ans for this is true as it i the only internal struggle
Calculate the ph when 20.0 ml of 0.150 m koh is mixed with 20.0 ml of 0.300 m hbro (ka = 2.5 × 10⁻⁹)
The pH of the solution is 10.74. the pH refers to the hydrogen ion concentration. It is a measure of the acidity of the solution.
What is pH?pH is the degree of acidity or alkalinity of a solution.
The equation of the reaction is;
KOH + HBrO ==> KBrO + H2O
The number if moles of KOH =20.0 ml x 1 L / 1000 ml x 0.150 mol/L = 0.003 moles KOH
The number of moles of HBrO = 20.0 ml x 1 L / 1000 ml x 0.300 mol/L = 0.006 moles HBrO
Since the reaction is 1:2;
[BrO-] = 0.003 mols / 0.04L = 0.075M
Now the pH, is obtained from;
KBrO + H2O ==> KOH + HBrO
BrO- + H2O ==> HBrO + OH-
Kb of BrO- = 1x10-14 / 2.5x10-9 = 4x10-6
Kb = 4x10-6 = [HBrO][OH-] / [BrO-]
From the ICE table;
4x10^-6 = (x)^2 / 0.075
x = 5.48x10-4 M = [OH-]
pOH = -log 5.48x10-4 M = 3.26
pH = 14 - pOH
pH = 10.74
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12.2 geometric sequences evaluate homework and practice answers
Geometric Series is known to be the exact sum of the terms of a geometric sequence. Its practice work example is given below:
Find the stated term of Given of the Geometric sequence -3, -6, -12, -24 ...9th term.What is Geometric Means?This is known to be the terms that exist between two nonconsecutive terms that belongs to a geometric sequence.
The Method to used in the above question is Geometric sequence.
The Rule of geometric sequence is that f (n)arⁿ⁻¹
Where A = the first term,
r = the common ratio
Therefore, r = -6 ÷ -3 = 2n
f (n) = -3. 2ⁿ⁻¹
Then you change the term n with 9
f (9) = 3.2⁹⁻¹
= -768
Therefore, the the stated term is 768.
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What are your impressions of the following character? is he a strong or weak character? jasper what are his primary characteristics?
My impressions of the characters from the story in his steps are :
Rachel is strong.Her primary characteristics is that she is a beautiful singer.Jasper is a Young writer.What is the term impression about in the text?Impression connote the views or opinions one has concerning a person.
Based on the text, The impressions of the Rachel character is known to be that she has a strong character. Rachel primary characteristics is that she is in her 20's and a beautiful singer at her Church.
Jasper on the other hand is quite a young writer that was in love with Rachel and He also proposed marriage to her.
See full question below
What are your impressions of the following character? Is she a strong or weak character? (from the story in his steps)
Rachel
What are her primary characteristics?
What are your impressions of the following character? Is he a strong or weak character?
Jasper
What are his primary characteristics?
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Question 1 with 1 blank rafael y lola 1 of 1 en la clase pero no se hablaron. Question 2 with 1 blank anoche julia y francisco 1 of 1 en el cine a las siete. Question 3 with 1 blank cuando mi prima y yo nos saludamos, siempre 1 of 1. Question 4 with 1 blank elena y yo siempre 1 of 1 con la tarea. Question 5 with 1 blank leonor y david 1 of 1 por correo electrónico
These are the complete sentences using the preterite tense:
Rafael y Lola se vieron en la clase pero no se hablaron.Anoche Julia y Francisco se encontraron en el cine a las siete.Cuando mi prima y yo nos saludamos, siempre nos abrazamos.Elena y yo siempre nos ayudamos con la tarea.Leonor y David se escriben por correo electrónico.What is the preterite tense?In this exercise, the sentences are conjugated in the preterite tense.
The Spanish preterite tense ("pretérito perfecto simple" in Spanish) is used to talk about actions completed at some point in the past.
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how many feet will it take you to stop from 60 mph
Frozen water is less dense than liquid water, allowing lake organisms to survive winter. true false
False, frozen water is denser than liquid water and does not allow lake organisms to survive water.
Density of Frozen water and Liquid waterBy definition, density is the mass per unit volume of a substance, a property which is characteristic to each substance.
By convention, solid state of a substance are said to be denser than liquid state of the same substance. Hence, it follows that frozen water is denser than liquid water and does not allow lake organisms to survive.
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Answer:
True
Explanation:
I took the quiz
When describing electromagnetic radiation, there is a(n) _____________ relationship between wavelength and frequency and the greater the frequency, the ____________ energy the electromagnetic radiation has
Answer:
an should be there isn't it
Use the square root property to solve each equation, if possible.
Answer:
To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.
A jar contains five black balls and seven white balls. two balls are drawn sequentially, but the first ball is replaced before the second drawn. the probability of drawing two white balls, given that at least one of the balls is white, is 7/17.
The probability both balls are black, given that the first one is black, is gotten as; ⁵/₁₂
What is the probability of Selection?
By using the probability of an event formula,
There are 5 black balls out of a total of 12 balls, so the probability of obtaining a black on a single draw is ⁵/₁₂, and the probability of obtaining a white is ⁷/₁₂
Since the balls are drawn with replacement, the two draws are independent events.
Use Multiplication and Union Rules to obtain the following probability:
P(F) = P(B, B) + P(B, W)
P(F) = (⁵/₁₂ * ⁵/₁₂) + (⁵/₁₂ * ⁷/₁₂)
P(F) = ⁵/₁₂
Thus, the probability both balls are black, given that the first one is black, is ⁵/₁₂
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Two lines that have different slopes i tersect at ecaxtly one point
Answer: If a linear system has no solution, the two lines are parallel. If it has one solution, the lines will intersect at exactly one point because they have different slopes.
How to simplify numerical expressions with exponents
Answer:
By multiplying it with each others
Answer:
multiply
Explanation:
Which mexican state is a popular tourist destination
Answer:
Oaxaca
Explanation:
Oaxaca de Juárez is one of the most important destinations in Mexico
Why is it useful to have your bank account and routing numbers when using tax preparation software? everfi
It is useful to have a bank account and routing numbers when using tax preparation software so as to indicate where tax refunds should be sent.
What is a tax preparation software?A tax preparation software can be defined as a type of computer software that is designed and developed to assist individuals when they are filing their taxes, tax returns and bank account preparations.
Basically, it is very useful and important for individuals to have a bank account and routing numbers when using tax preparation software because it would help them to indicate where tax refunds should be sent.
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Write the expression for the solubility-constant for hydroxyapatite
An expression for the Ksp for hydroxyapatite would be written as follows:
Ksp = [tex][(Ca^{++})^5][OH^{-}][(PO_4)^3][/tex]
What is solubility constant?In Chemistry, the solubility product constant (Ksp) can be defined as the equilibrium constant that describes a solid substance (solute) which is being dissolved in an aqueous solution.
This ultimately implies that, Ksp is typically used in chemistry to denote an equilibrium level at which a solute dissolves in an aqueous solution.
Mathematically, an expression to represent the solubility product constant (Ksp) for hydroxyapatite is written as follows:
Ksp = [tex][(Ca^{++})^5][OH^{-}][(PO_4)^3][/tex]
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