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.
Find the amount applied to principle for the third month of a 4-year loan of $ which charges percent compounded monthly with monthly payments.
The amount applied to the principal for the third month of a 4-year loan of $50,000 at an interest rate of 10% per year with monthly payments is $865.71.
What is the amount of payment applied to the principal?The amount of the payment applied to the principal in any payment period is the total payment less the interest amount for the payment period.
For example, in this case, the periodic payment is $1,268.13. However, the interest amount for the month is $402.42 ($48,289.98 x 10% x 1/12).
The amount of the payment applied to the principal is $865.71 ($1,268.13 - $402.42).
This can be computed using an online finance calculator that calculates the periodic payment and prepares a monthly payment schedule as below.
Data and Calculations:N (# of periods) = 48 (4 x 12)
I/Y (Interest per year) = 10%
PV (Present Value) = $50,000
FV (Future Value) = $0
Results:
PMT = $1,268.13
Sum of all periodic payments = $60,870.20
Total Interest = $10,870.20
Monthly Schedule
Period PV PMT Interest Principal FV
1 $50,000.00 $1,268.13 $416.67 $851.46 $49,148.54
2 $49,148.54 $1,268.13 $409.57 $858.56 48,289.98
3 $48,289.98 $1,268.13 $402.42 $865.71 $47,424.27
Thus, the amount of the payment applied to the principal is $865.71.
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How were you able to break down the plot of the story
Fluency and skills practice lesson 28 finding volume answer key
An example of Fluency and skills practice questions is "What does being fluent with a math skill mean to you?
What is Fluency?This is a term that connote is one's capability to be able to read with ease and fast, been accurate and having the right diction.
The question of what being fluent with a math skill mean to you is that it mean a lot to me as if I am fluent in math, I can be able to answer any difficult questions in math and then apply those skills in problem solving in real life.
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Sofie claims to be a tasting expert. To test her abilities, someone bakes Sofie a cake using 3 of the following
ingredients:
Coffee Vanilla
Nutmeg Cinnamon
Sea salt
Ginger
Sofie's challenge is to identify which set of 3 ingredients was used in the cake. Suppose that Sofie is just
randomly guessing.
What is the probability that Sofie correctly identifies the set of 3 ingredients in the cake?
Answer:
1/20
Explanation:
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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Suppose a five-year, bond with annual coupons has a price of and a yield to maturity of . what is the bond's coupon rate?
The bond's coupon rate with an annual coupon that has a price of $903.35 and the yield to maturity will be 3.33%.
How to calculate the coupon rate?It should be noted that the formula for calculating the coupon rate is given as:
= Annual coupon / Face value
From the complete question, the annual coupon is $33.30 and the face value is $1000. Therefore, the coupon rate will be:
= Annual coupon / Face value
= 33.30/1000
= 3.33%
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What type of reaction present on this equation 2mgl + mn(so) → 2mgso + mnl
The type of reaction present in the equation(2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄) is a double displacement reaction.
Balanced chemical reaction2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄
The reactant of the reaction is on the left side while the product of the reaction is on the right side.
Double displacement (Metathesis)Double displacement is a kind of reaction in which the two reacting compounds exchange their radicals or ions to form two new compounds. The anions and cations of the two different molecules switch places to form a new compound.
The reaction type is a double displacement reaction because the cations (mg and mn) and anions(so₃²⁻ and l⁻) switch positions.
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what number do u see
Answer:
4628 or 4528
Explanation:
I wear glasses
According to rational-emotive behavior therapists, the source of much unhappiness is the individual’s
Rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.
What is the rational-emotive-behavioral approach?It is an approach that considers that behavioral and emotional problems could have their genesis from three sources: thought, emotional and behavioral.
This affirmed that people are largely responsible for their disturbed feelings, therefore, those same people have all the resources to be able to modify their thoughts and bring lasting and stable states to their lives.
Therefore, we can conclude that rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.
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Read the following sentence.
Pliny once wrote that Phoenician sailors who cooked on blocks of natron (soda) on a beach discovered glass accidentally.
Is the underlined phrase essential (restrictive) or nonessential (nonrestrictive)? Explain your reasoning
Answer:
The underlined phrase is essential. It isn't just any group of Phoenician sailors who discovered glass, nor is it that Phoenician sailors in general discovered it; the sentence refers to a particular group of sailors that used blocks of natron to cook on the beach.
Explanation:
source…Quizlet
I hope this helps
Have an AMAZING day. :)
Select one issue in our society today how do you apply methods of philosophizing
Answer:
We can apply the method of philosophizing known as "logic and critical thinking" to interpret and determine a truth about racism in our society.
Explanation:
Logic and critical thinking, assesses assumptions and elements of a given problem in society and through the investigation of facts and evidence about that problem it is able to determine whether there is a truth about it and whether we should follow it or not. This method of philosophizing is one of the most ideal and adaptable in our modern society because it uses rationality through evidence and hard facts.
This method can be used to discover truths about racism in our society. Through it we can analyze the origins of racism, how it accompanied the formation of American society and how to conclude from this whether it is still influential and strong today. Critical thinking will show us that racism is still influential as it will show various truths about it and its establishment in modern society.
The volume of a cylinder is 400???? cubic cm and its height is 4 cm.what is the radius?
Answer: 5.64 cm
Explanation:
Volume of a cylinder = π * r^2 * h →
400 = π * r^2 * 4 →
r = 5.64 cm :)
In paragraphs 19 and 20 of this story, the man reflects back on his own father cooking for him, and he recalls one incident in particular that he feels bad about. Write a story about this incident, told in first person by the man’s father. Use details from the paragraphs, and add elaboration of your own to show the father’s feelings about what happened and how he reacted to it
People often write story about different incident. The story is given below.
The incident?The incident is a story that revolve around our character which I named Olu. He was an man who loved to make food for his son. His feel is immersed in all his love but Chide his son did not reciprocate his love.
The father was said about his child who did not look at the meal he has prepared for him. He was sick and dying and that was the only thing he could do for him. He knows he loves his son and his son loves him too, but this character of his displeased him but still he accepted and move on.
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Big ideas math algebra 2 student journal answer key pdf
An example of Big ideas math algebra 2 study question is Solve for the Given expression is 7.3² + 11.
What is big math algebra?This is known to be a type of math practice or text book that has been design to help student have basic knowledge of algebra.
Using the order of operations, we have to first simplify the exponential term first and later multiply it.
7. 3² + 11 =
=7⋅9+11 ;
=63+11
= 75
Therefore, the answer will be 74.
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Mathematics iii common core volume 2 volume 2 solutions
An example of Mathematics III common core volume 2 question and solution is given in the case of the subtopic algebra and geometry. An example is 1/2 (x + 42) - 60.
What is Mathematics III Common Core?This is a textbook that is written by Randall I. Charles. It has Volume and 2. The textbook acts as Teacher's Guide in teaching mathematical related functions.
The solution to the question above is given below:
1/2 (x + 42) - 60
You then multiply both sides by 2
x + 42 - 60 * 2
x + 42 - 120
x - 42
Therefore, the answer is x - 82.
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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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Select the correct answers from the drop-down menus. Read the excerpt. Then choose the correct way to complete each sentence. Wilson sees as the key to achieving peace. A quotation that supports this conclusion is
A quotation that supports Wilson's conclusion about achieving peace is;
He laid out a vision for a just and peaceful world, a future that included free seas, an international agreement to avoid arms races,
What is the best way to complete the sentence?President Wilson gave a 14 points speech that was a proposal calling for the victorious Allies to set unselfish peace terms with the vanquished Central Powers of World War I, including freedom of the seas.
The peace speech also included the restoration of territories conquered during the war and the right to national self-determination in such contentious regions as the Balkans.
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Answer:
fist one is public agreements between... and second one is processes of peace... just took test on plato!!!
Explanation:
label each phase of the action potential as identified by the highlighted region of each graph.
The label of each phase of the action potential as identified by the highlighted region of each graph is given in the image attached.
What is depolarization?The term Depolarization is known to be a form of movement where the cell's membrane is said to have the likelihood to have a more positive value.
Conclusively, The term repolarization is known to be the alterations or a change that often takes place in membrane that are said to have the potential, to be able to return to a negative value.
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9-4 skills practice solving quadratic equations by factoring
The expression x^2 + 6x + c is a quadratic expression, and the value of c that makes the trinomial a perfect square is 9
How to find the value of c that makes the trinomial a perfect square?The expression is given as:
x^2 + 6x + c
Take the coefficient of 6
k = 6
Divide by 2
k/2 = 3
Take the square of both sides
(k/2)^2 = 9
The value of c is:
c = (k/2)^2 = 9
So, we have:
c = 9
Hence, the value of c that makes the trinomial a perfect square is 9
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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 :))
The term “Kiwi” as a nickname for New Zealanders comes from __________.
a. the Maori term for “non-Maori,” or person of European descent
b. the Maori term for “native” or “first”
c. the flightless bird native to the country
d. the Chinese gooseberry, called kiwifruit in New Zealand
Answer: C “The flightless bird native to the country”
Explanation:
None of the other answers make sense and I also took the quiz and got this question right.
copper atoms and zinc atoms have the same atomic radius, 135 picometers. based on this information, which of the following diagrams best represents an alloy containing only copper and zinc atoms?
Since copper and zinc atoms have the same atomic radius, an alloy of copper and Zinc will have the structure shown in option B.
What is an alloy?An alloy is a combination of two or more metals Alloys are known to have better tensile strength and higher resistence to corrosion.
We are told that both copper atoms and zinc atoms have the same atomic radius, 135 picometers. It then follows that an alloy of copper and Zinc will have the structure shown in option B.
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Your email campaign has an open-rate of 9. 6%, and you emailed 25,000 people. How many people opened your email?
The number of people that opened the email sent by the campaign is 2,400.
Given the data in the question;
Open rate; [tex]r = 9.6[/tex]% [tex]= \frac{9.6}{100}[/tex]Number of emails sent; [tex]n = 25,000[/tex]Number of people that opened the email; [tex]e_o = \ ?[/tex]Rate and PercentageRate is simply the ratio of a measure or frequency against another measure in different unit.
Percentage is a ratio expresses as a fraction of hundred.
Now, to determine the number of people that opened the email, we multiply the open-rate by the number of mail sent.
[tex]e_o = r * n\\\\e_o = \frac{9.6}{100} * 25000\\\\e_0 = 2400[/tex]
Therefore, the number of people that opened the email sent by the campaign is 2,400.
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Which example best illustrates the role of the legislative branch in national security? the united states meets with other leaders to negotiate a trade treaty. The federal government votes on a budget to provide safety and security. The federal government has different agencies that protect the nation. The courts determine whether a new law related to security is constitutional
The example which best illustrates the role of the legislative branch in national security is: A. united states meets with other leaders to negotiate a trade treaty.
What is the legislative branch?Legislative branch can be defined as one of the three branch (arm) of government that is saddled with the responsibility of creating and enacting laws in a particular country.
In the area of national security, an example which best illustrates the role of the legislative branch is the United States of America meeting with other world leaders to negotiate a trade treaty, so as to foster the buying and selling of goods among them.
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Answer:
Its B.
Explanation:
Edge
Find the surface area of the square pyramid. a) 80 in2 b) 105 in2 c) 160 in2 d) 210 in2
Answer:
B) 105 is the right answer :D
Explanation:
I took the quiz for it!
If two angles are supplementary angles, then both of them are: a) acute angles b) obtuse angles c) right angles d) none of these.
Answer:
right angle
Explanation:
because every right angle is equal to 90°
Sort ideas related to three types of education into the correct categories
The ideas are to be categorized into either the "University or College", "Vocational school" or On-Job training class".
What entails the University or College?Its required two, four or more yearsIts is the most expensive optionIt is required in many field as pre-requisiteWhat entails the Vocational school?Its has technical training emphasisIt is usually two yearsWhat entails the On-Job training class?It is usually for weeks opr monthIt is for specific jobsRead more about education
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Answer:
this is the answer, here is an image that shows that answer
Explanation:
Determine the empirical formula of a compound containing 47. 37 grams of carbon, 10. 59 grams of hydrogen, and 42. 04 grams of oxygen. In an experiment, the molar mass of the compound was determined to be 228. 276 g/mol. What is the molecular formula of the compound? for both questions, show your work or explain how you determined the formulas by giving specific values used in calculations
Considering the definition of empirical formula, the empirical formula is C₃H₈O₂ and the molecular formula is C₉H₂₄O₆.
Definition of empirical formulaThe empirical formula is the simplest expression to represent a chemical compound, which indicates the elements that are present and the minimum proportion in whole numbers that exist between its atoms, that is, the subscripts of chemical formulas are reduced to the most integers. small as possible.
Empirical formula in this caseIn this case, you have:
Carbon (C): 47.37 gramsHydrogen (H): 10.59 gramsOxygen (O): 42.04 gramsThen it is possible to calculate the number of moles of each atom in the molecule, taking into account the corresponding molar mass:
Carbon (C): [tex]\frac{47.37 grams}{12 \frac{g}{mole} }[/tex]= 3.95 molesHydrogen (H): [tex]\frac{10.59 grams}{1 \frac{g}{mole} }[/tex]= 10.59 molesOxygen (O): [tex]\frac{42.04 grams}{16 \frac{g}{mole} }[/tex]= 2.63 molesThe empirical formula must be expressed using whole number relationships, for this the numbers of moles are divided by the smallest result of those obtained. In this case:
Carbon (C): [tex]\frac{3.95 moles}{2.63 moles }[/tex]= 1.5Hydrogen (H): [tex]\frac{10.59 moles}{2.63 moles }[/tex]= 4Oxygen (O): [tex]\frac{2.63 moles}{2.63 moles }[/tex]= 1Finally, since in the empirical formula the numbers of moles must be expressed in whole numbers, the ratio of atoms is multiplied by some number with which everything is obtained in simple whole numbers (in this case by 2):
Carbon (C): 1.5× 2= 3Hydrogen (H): 4× 2= 8Oxygen (O): 1× 2= 2Therefore the C: H: O mole ratio is 3: 8: 2
Finally, the empirical formula is C₃H₈O₂.
Molecular formulaTo obtain the molecular formula you must relate its molecular weight (PMc) with the molecular weight of the empirical formula (PMfe).
PMfe= PM (C₃H₈O₂)= 76 g/mole
The molar mass of the compound (PMc) was determined to be 228.276 g/mol. Dividing this mass PMc by the molar mass of the empirical formula PMfe gives:
228.276 g/mol ÷ 76 g/mole= 3
This means that in the molecular formula there are 3 unit formulas (empirical formulas), so it is necessary to multiply the number of all atoms by 3.
Then, the molecular formula is C₉H₂₄O₆.
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Alicia accidentally hit the bumper of her car by driving into a tree. she has a car insurance policy with $1000 deductible. the total damage to the car is $500. how much will the car insurance company pay in this scenario?
Answer:
nothing.
Explanation:
trust me
12.3 geometric series evaluate homework and practice
The geometric series would have a uniform common ratio
The recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128
How to determine the geometric series?Assume the geometric sequence is given as:
128,32,8,2
And the question requires the recursive definition of the geometric series
Start by calculating the common ratio (r)
[tex]r = \frac{a_{n}}{a_{n-1}}[/tex]
Substitute 2 for n
[tex]r = \frac{a_2}{a_1}[/tex]
Substitute known values
[tex]r = \frac{128}{32}[/tex]
Evaluate the quotient
[tex]r = 4[/tex]
Substitute 4 for r in [tex]r = \frac{a_{n}}{a_{n-1}}[/tex]
[tex]4 = \frac{a_{n}}{a_{n-1}}[/tex]
Cross multiply
[tex]a_n = 4a_{n-1}[/tex]
Hence, the recursive definition of the geometric series is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128
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