For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
Answers
In the balanced reaction
2 Fe + O₂ → 2 FeO
2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.
Look up the molar mass of Fe and O:
• Fe = 55.845 g/mol
• O = 15.999 g/mol
Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is
(42.4 mol) × (71.835 g/mol) ≈ 3050 g
Related Questions
An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by the local dealer. The customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion who are not satisfied.
(a) Past studies suggest that this proportion will be about 0.17. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015. (You will need a critical value accurate to at least 4 decimal places.) Sample size:
(b) Using the sample size above, when the sample is actually contacted, 25% of the sample say they are not satisfied. What is the margin of the error of the confidence interval? MoE:
Answers
The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.
(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:
n = (Z^2 * p * (1-p)) / E^2
Where:
n = sample size
Z = critical value (corresponding to the desired confidence level)
p = estimated proportion of the population
E = margin of error
In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.
Plugging these values into the formula, we have:
n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2
n ≈ 1901.63
Therefore, the sample size needed is approximately 1902.
(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:
MoE = Z * sqrt((p * (1-p)) / n)
Where:
MoE = margin of error
Z = critical value (corresponding to the desired confidence level)
p = proportion of the sample
n = sample size
Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:
MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)
MoE ≈ 0.014
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2. In the real-world, humans hear sound as an analog signal. This means the signal is a continuous
waveform, which is completely processable by human ears. However, machines 'hear' sound a little
differently, as they process sound digitally, which is a discrete waveform.
When sound is recorded or transmitted electronically, the continuous (analog) waveform is sampled to
convert it to a discrete (digital) sequence. Sampling is the process of reducing a continuous-time signal
to a discrete-time signal. As the sampling rate increases, the sound quality of the recording or
transmission will improve.
The graphs below represent two different samples of a pure tone. Sample 1 is taken 8 times per unit of
time. Sample 2 is taken 16 times per unit of time.
a) why would sample 2 reproduce a better replication of the pure signal?
b) write a sinusoid model for sample 2.
Answers
Answer:
a) Sample 2 records at a more frequent rate, so compared to 1 it's a continuous waveform.
b) y = 7.75 • cos(π/8(x))+7.75
Step-by-step explanation:
that other guy wasn't very nice for not giving the answer, screw him
i just need help pls
Answers
Given:
The table of values.
To find:
The function for the given table.
Solution:
From the given table it is clear that the y-values are same as the corresponding x-values. It means y is directly proportional to x with 1 as a constant of proportionality.
Mathematically, it can be defined as:
\(y=1\times x\)
\(y=x\)
Substitute \(y=f(x)\) in the above equation to find the required function.
\(f(x)=x\)
Therefore, the correct option is A.
Question 1 Professor Plum is putting a brick border around his irregular shaped garden. Before installing the border, Professor Plum must cut the bricks to fit the angles of the garden. Use the given measures to answer the question.
What are the angle measures of each vertex of the garden? Show your work.
question 2 ⦁ In Parallelogram , diagonals and intersect at point A. Give and. What is ? Show your work.
question 3 ⦁ Quadrilateral ABCD has vertices at. Based on the properties of the diagonals, is quadrilateral ABCD a rectangle, rhombus, or square? Use the distance and slope formulas to prove your conclusion. Show your work
Answers
The angle measures of each vertex of the garden are 53.13 degrees.
In Parallelogram ABCD, diagonals AC and BD intersect at point A = √7.
What is angle?Angle is a geometric figure that can be described as the amount of rotation between two straight line or planes and angle is measured in degree with a full circle being 360°.
1. To determine the angle measures of each vertex of the garden, we must first calculate the angles formed by each side. For example, the angle formed by sides AB and BC can be found by using the inverse tangent function. The equation would be
arctan(BC/AB) = arctan (4/3) = 53.13 degrees.
The angles for the other sides can be calculated in the same way. We can then use the sum of angles theorem to calculate the angles at each vertex. Since the garden is an irregular shape, the angles at each vertex will be different.
2. In Parallelogram ABCD, diagonals AC and BD intersect at point A. To calculate , we can use the distance formula.
The equation would be = √((x2 – x1)2 + (y2 – y1)2).
For the coordinates given, we would have
= √((2 – 5)2 + (5 – 1)2)
= √(-9 + 16)
= √7.
Answer 3: To determine whether quadrilateral ABCD is a rectangle, rhombus, or square, we must first calculate the slope.
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please help me I have to submit it tomorrow I will give brilliant to the one who solves it
Answers
a. Income tax is the amount of money that an individual is required to pay to the government based on their income.
b. Ramesh's total income in 13 months, including the festival expense, is found as Rs 593,857.
c. Ramesh's annual income tax, considering the investment in citizens' investment fund, is Rs 85,000.
How do we calculate?a. Income tax is described as the amount of money that an individual is required to pay to the government based on their income. found using a specific tax rate applied to different income brackets.
b.
Monthly income = Salary + Dearness allowance
= Rs 43,689 + Rs 2,000
= Rs 45,689
Total income for 13 months = Monthly income * 13
= Rs 45,689 * 13
= Rs 593,857
c.
Total income after deducting citizens' investment fund = Total income - Investment amount
= Rs 593,857 - Rs 2000
= Rs 591,857
Hence, the income tax based on the revised total income is:
Tax for income upto 5 lakh which is 1% of the income
= 0.01 * 500000
= Rs 5,000
Tax for income from 5-7 lakh which is the 10% of the income
= 0.1 * 200000
= Rs 20,000
The Tax for income from 7-10 lakh: 20% of the income
= 0.2 * 300000
= Rs 60,000
The Tax for income from 10-20 lakh is 30% of the income
= 0.3 * 0
= Rs 0
The total income tax = Rs 5,000 + Rs 20,000 + Rs 60,000 + Rs 0 + Rs 0
= Rs 85,000
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for a school play, there were adult tickets for 9 each and child tickets for 5 dollars each. the 400 seat auditorium sold out and the total ticket sales was 2600 dollars. how many of each type of ticket were sold?
Answers
The number of tickets were sold are; 150 for adult tickets and 250 for child tickets
There are 400 seats in the auditorium which means that there are 400 tickets to be sold and the total ticket sales were 2600 dollars.
Since there were adult tickets for 9 each and child tickets for 5 dollars each.
9x + 5y = 2600
x + y = 400
Solving;
9x + 5(400-x) = 2600
9x + 2000 - 5x = 2600
4x = 600
x = 150
Then y = 250
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I finished sorting them out, if any of them are wrong pls tell me the letter
(No link and don’t solve them)
Answers
Answer: They look right to me
Step-by-step explanation:
Paul wants to buy a bicycle that costs $86.50. He has saved $60. He earns $5.30 an hour working after school and can save half of his total earnings. How many hours will he have to work to buy the bicycle?
Answers
Answer:
10 hours
Step-by-step explanation:
86.50-60=26.50
5.30/2=2.65
2.65*10=25.50
so 10 hours of work to buy the bicycle
I need help on this ASAP. It is due in less than 20 minutes so please help! Thanks.
Answers
Range{3,4,5,6,7,8}
A jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make? how many beads of each type are on each necklace?
Answers
The number of beads of each type that are on each necklace will be 6 beads.
How to illustrate the information?It should be noted that the jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make.
Therefore, it van be seen that the highest common factor between 24 and 30 is 6.
Therefore, the number of beads of each type that are on each necklace will be 6 beads.
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Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results a = 10
b = 13.6 A = 33°
Answers
From the calculation, all three inequalities are satisfied, which means that the given measurements produce one triangle.
To determine whether the given measurements produce one triangle, two triangles, or no triangle at all, we can use the Law of Sines and the Triangle Inequality Theorem.
Given:
a = 10
b = 13.6
A = 33°
Determine angle B:
Angle B can be found using the equation: B = 180° - A - C, where C is the remaining angle of the triangle.
B = 180° - 33° - C
B = 147° - C
Apply the Law of Sines:
The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
a/sin(A) = b/sin(B) = c/sin(C)
We can rearrange the equation to solve for side c:
c = (a * sin(C)) / sin(A)
Substituting the given values:
c = (10 * sin(C)) / sin(33°)
Determine angle C:
We can use the equation: C = arcsin((c * sin(A)) / a)
C = arcsin((c * sin(33°)) / 10)
Apply the Triangle Inequality Theorem:
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
In this case, we need to check if a + b > c, b + c > a, and c + a > b.
If all three inequalities are satisfied, it means that the measurements produce one triangle. If one of the inequalities is not satisfied, it means no triangle can be formed.
Now, let's perform the calculations:
B = 147° - C (from step 1)
c = (10 * sin(C)) / sin(33°) (from step 2)
C = arcsin((c * sin(33°)) / 10) (from step 3)
Using a calculator, we find that C ≈ 34.65° and c ≈ 6.16.
Now, let's check the Triangle Inequality Theorem:
a + b > c:
10 + 13.6 > 6.16
23.6 > 6.16 (True)
b + c > a:
13.6 + 6.16 > 10
19.76 > 10 (True)
c + a > b:
6.16 + 10 > 13.6
16.16 > 13.6 (True)
All three inequalities are satisfied, which means that the given measurements produce one triangle.
In summary, with the given measurements of a = 10, b = 13.6, and A = 33°, we can determine that one triangle can be formed. The measures of the angles are approximately A = 33°, B ≈ 147° - C, and C ≈ 34.65°, and the lengths of the sides are approximately a = 10, b = 13.6, and c ≈ 6.16.
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On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minutes for the traffic light to turn green. She then walked her bike across the street and up a short steep hill. Finally, she rode the bike at a constant speed for one more mile. If Mary created a graph of her time and distance, which statement describes the part of her graph that would show no change in distance?
Mary used her bike to ride the first mile.
Mary stopped and waited for the traffic light to turn green.
Mary walked her bike across the avenue and up a short hill.
Mary rode her bike at a constant speed for one mile.
Answers
The part of the graph that would show no change in distance is when Mary stopped and waited for the traffic light to turn green.
Statement B is correct.
How do we calculate?We know that during this time, Mary did not move forward or cover any distance. Hence, the graph would show a flat line at this point, indicating no change in distance.
Distance is described as a numerical or occasionally qualitative measurement of how far apart objects or points are.
In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
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2.01 as a mixed number
Answers
Answer:
2 1/100
Step-by-step explanation:
First you put the 2 in Then you get the 1/100 and put it next to the 2
A concerned elementary school principle wants to know if more than half of her students spend more than 3 hours a day looking at a screen (tv, computer, smart phone, etc.). She surveys a random sample of her students to find that 112 out of the 200 sample spend more than 3 hours a day looking at a screen.
d. Is this an example of a left-tail test, right-tail test, or two-tail test?
Answers
The given scenario is an example of a one-tail or one-sided test. It specifically tests if more than half of the elementary school students spend more than 3 hours a day looking at a screen. The direction of the test is focused on whether the proportion of students who spend more than 3 hours a day looking at a screen is greater than 0.5.
In hypothesis testing, the choice between a left-tail, right-tail, or two-tail test depends on the specific research question and the alternative hypothesis. In this case, the concern of the elementary school principal is whether more than half of her students spend more than 3 hours a day looking at a screen. The alternative hypothesis would be that the proportion is greater than 0.5.
Since the alternative hypothesis is focused on a specific direction (greater than), this is an example of a right-tail test. The critical region is located on the right side of the distribution, indicating that the test will evaluate whether the sample proportion is significantly greater than the hypothesized proportion of 0.5.
By conducting the appropriate hypothesis test and evaluating the sample data, the principal can determine if there is sufficient evidence to support the claim that more than half of her students spend more than 3 hours a day looking at a screen.
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Let the number of games, x, and the number of rides y, For 2x + 4y = 20, what is the slope of the graph? What is the slope? (Hint: Solve for y) Write the y-intercept as an ordered pair? (Hint: x=0 at the y-intercept) 10 Write the x-intercept as an ordered pair? (Hint: y = 0 at the x-intercept)
Answers
Answer:
m= -1/2, (0,5), (10,0)
Step-by-step explanation:
Let us write it in slope intercept form, y=mx +b where m is the slope:
2x+4y=20
4y= -2x+20
y= -1/2x+5
Therefore, the slope is -1/2
The y intercept can be found when we substitue 0 as x.
y= -1/2*0 +5
y=0+5
y=5
(0,5)
The x intercept can be found when we substitute 0 as y.
0=-1/2x+5
-5 =-1/2x
x= 10
(10, 0)
I hope this helped! :)
The ______ mean is the best estimate of next year's return. multiple choice question. the average of the arithmetic and geometric mean arithmetic geometric
Answers
The (B) arithmetic mean is the best estimate of next year's return.
What is the arithmetic mean?The arithmetic mean or arithmetic average, or simply the mean or the average (where the context is obvious), is the sum of a set of numbers divided by the number of numbers in the set. The collection is typically a set of results from an experiment or observational research, or a group of survey results. In some instances in mathematics and statistics, the word "arithmetic mean" is favored since it distinguishes it from other means such as the geometric mean and the harmonic mean. The arithmetic mean is the most accurate predictor of next year's return.Therefore, the (B) arithmetic mean is the best estimate of next year's return.
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The correct question is shown below:
The ______ mean is the best estimate of next year's return. multiple choice question.
(A) the average of the arithmetic and geometric mean
(B) arithmetic
(C) geometric
Six times a number is equal to 16 more than 4 times the number. Find the number.
Answers
Answer:
8
Step-by-step explanation:
Let the number be n
6*n = 16 + 4*n
6n = 16 + 4n
6n - 4n = 16
2n = 16
2n/2 = 16/2
n = 8
x = 7
To isolate x, always do the opposite of the number next to it.
5x = 35
The opposite of "× 5" is "÷ 5," so we ÷ 5 on both sides
5x = 35
5x ÷ 5 = 35 ÷ 5
x = 7 How do you solve an equation like: 5x = 35
Answers
Answer:
opposite operation
Step-by-step explanation:
divide 35 by 5 so x=7
answer asap please!!
Answers
Answer: B
Step-by-step explanation:
The lines outside the number on the left represent absolute value, meaning it doesnt matter if it is negative you just count it as positive. Since the number on the left is greater than the number on the right, the answer is B
Please help me I'm stuck.
Answers
\(\cfrac{89.40~~ - ~~\stackrel{ \textit{minus the tax of each} }{0.50-0.50-0.50-0.50-0.50-0.50}}{6}\implies \cfrac{86.40}{6}\implies \stackrel{ each }{14.40}\)
answer the screenshot correctly for a thanks, 5 stars, brainliest, and 5 points!!:)
Answers
Answer:
the answer has to be ac+ad+bc+bd
Step-by-step explanation:
Tammy accidentally wrote a check for more money than she had in her checking account. When she got her statement, she saw that her balance was -125 . If she deposits 1/5 of the money owed into her account, what will be her new balance?
Answers
Answer:
-100
Step-by-step explanation:
1/5 of -125 will be -25.
So, if she deposits 1/5 of what she owes, then she will deposit $25.
Her balance will then become -100 because she paid back 25.
Her new balance is -100
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.
A. sine
B. secant
C. cosine
D. cosecant
Answers
Answer:
cosine I think
Step-by-step explanation:
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.
The sine is given as the side opposite to the angle is known as perpendicular.
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.
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Which of the following are mutually exclusive events of an experiment in which two coins are tossed?
{TT, HH} and {TT}
{HT, TH} and {TH}
{TT, HT} and {HT}
{TT, HH} and {TH}
Answers
Answer:
{TT, HH} and {TH}
Step-by-step explanation:
Mutually exclusive just means the three pairs of letters are all different and does not repeat. Only the last choice has three unique pairs of letters: TailTail, HeadHead, and TailHead.
The following double line graph represents the heights (in inches) of Lana and Sabrina over a period of seven years. What was Sabrina's height in 2004?
37 inches
42 inches
38 inches
40 inches
Answers
Answer:
37
Step-by-step explanation:
Answer:
40 inches
Step-by-step explanation:
Write as a product of two polynomials.
2(3-b)+5(b-3)^2
Answers
Answer:
\(5b^{2}-32b+51\)
Step-by-step explanation:
\(2(3-b)+5(b-3)^{2}\)
\(=6-2b+5b^{2}-30b+45\)
\(=5b^{2}-32b+51\)
What expression represents the width of the rectangle
Answers
We are given a rectangle with one of its sides ( length ) equal to ( x - 7 ) Meters.
Also we are given the area of the rectangle as x² - 15x + 56 square meters .We have to find the expression for another side of the rectangle i.e it's width
We will use the formula of area of rectangle to find the expression :
Area = length × widthTherefore,
ㅤㅤ➝ A = l × w
ㅤㅤ➝ x² - 15x + 56 = ( x - 7 ) × w
ㅤㅤ➝ x² - 8x -7x + 56 = ( x - 7 ) × w
ㅤㅤ➝ (x² - 8x )( - 7x + 56 ) = ( x-7 ) w
ㅤㅤ➝ x( x - 8 )-7( x - 8 ) = ( x - 7 )w
ㅤㅤ➝ ( x - 8 )( x - 7 ) = ( x - 7 )
ㅤㅤ➝ ( x - 8 )w = ( x - 8 )( x - 7 )
ㅤㅤ➝ w = ( x - 8 )( x - 7 ) / ( x - 7 )
ㅤㅤ➝ w = ( x - 8 )
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above and to the left of the line is shaded.
Which linear inequality is represented by the graph?
y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y < 3x − 1
y > 3x − 1
Answers
The graphed inequality is:
\(y \geq \frac{1}{3}*x - 1\)
Which linear inequality is represented by the graph?We know that the line is solid, and the region above and to the left is shaded, then the inequality is of the form:
y ≥ line.
Now we need to get the linear equation.
It is of the form;
y = a*x + b
Where a is the slope and b is the y-intercept. Because it passes through (0, -1), we know that the y-intercept is -1.
And knowing that the line passes through (0, -1) and (3, 0), the slope is:
\(a = \frac{- 1 - 0}{0 - 3} = \frac{1}{3}\)
Then the inequality is:
\(y \geq \frac{1}{3}*x - 1\)
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when performing a hypothesis test on μ when σ is known, h0 can never be rejected if
Answers
When performing a hypothesis test on the population mean (μ) when the population standard deviation (σ) is known, the null hypothesis (H0) can never be rejected if the sample mean falls within the acceptance range determined by the chosen significance level and the critical values.
In hypothesis testing for the population mean when the population standard deviation is known, the null hypothesis (H0) represents the claim or assumption that the population mean is equal to a specific value. The alternative hypothesis (Ha) states that the population mean is not equal to the specific value.
To determine whether to reject or fail to reject the null hypothesis, we compare the sample mean to the expected value under the null hypothesis. If the sample mean falls within the acceptance range determined by the chosen significance level and the critical values, we do not have sufficient evidence to reject the null hypothesis. The acceptance range is defined by the margin of error around the expected value, and it indicates the range of values that can be considered reasonably close to the expected value.
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1,000mL1L
1,000L1mL
1L1,000mL
1mL1,000L
500mL0.5L
Answers
Answer:
1000 ml = 1 Liter (l)
1 Liter = 1000 mililiters (ml)
500 ml = 0.5 liters (l)
Step-by-step explanation:
1,000L is not 1 ml it's the the reverse or 1,000,000 ml
1m is not 1,000 L (m is lenght and L volume)