The steps required when using the inscribed polygon method for predicting aromaticity are as follows:
1. Draw the planar structure of the molecule: Start by drawing the planar structure of the molecule, making sure to include all the atoms and their connections. For example, let's consider the molecule benzene (C6H6) for this explanation.
2. Identify the π system: Look for the presence of a conjugated π system within the molecule. A conjugated π system consists of alternating single and double bonds or resonance structures. In benzene, the six carbon atoms form a conjugated π system.
3. Construct the inscribed polygon: Based on the positions of the π electrons, construct an inscribed polygon within the planar structure. This polygon connects the centers of the atoms that participate in the conjugated π system. In the case of benzene, the inscribed polygon would be a hexagon connecting the six carbon atoms.
4. Count the number of sides: Count the number of sides of the inscribed polygon. In the case of benzene, it is a hexagon, so there are six sides.
5. Determine the aromaticity: Based on Huckel's rule, a compound is aromatic if the number of π electrons in the molecule matches the number of sides of the inscribed polygon (4n + 2, where n is an integer). If the number of π electrons matches, the molecule is aromatic. In the case of benzene, it has 6 π electrons, which matches the number of sides of the inscribed polygon (6), making it aromatic.
In summary, the steps required when using the inscribed polygon method for predicting aromaticity include drawing the planar structure, identifying the π system, constructing the inscribed polygon, counting the number of sides, and determining the aromaticity based on Huckel's rule. By following these steps, you can predict the aromaticity of a molecule.
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Fill in the y values of the t-table for the function
y=3√x.
The table of values of the function y = ∛x is
x y
-8 -2
-1 -1
0 0
1 1
8 2
How to fill in the y values?The function is given as:
y = ∛x
When x = -8, we have:
y = ∛-8 = -2
When x = -1, we have:
y = ∛-1 = -1
When x = 0, we have:
y = ∛0 = 0
When x = 1, we have:
y = ∛1 = 1
When x = 8, we have:
y = ∛8 = 8
So, the table of values is
x y
-8 -2
-1 -1
0 0
1 1
8 2
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1. The population of a bacteria culture increases at the rate of 3 times the square root of the present population. A.Model the population P P() of the bacteria population with a differential equation. B. Solve the differential equation that models the population P population. Pt) of the bacteria C. Suppose the population at time r 0 hours is 1000. Derive an equation for the population P as an explicit function of time r (in hours). Your equation should contain no undetermined constants. D. What's the population of the bacteria culture at the end of 10 hours? After 100 hours? (You can round down to an integer for your population solutions.)
Answer
Solved Calculus AB, Semester 2 Assignment: Applications of ...
The population of a bacteria culture increases at the rate of 3 times the square root of the present population.
A ball dropped from a height of 19 meters will bounce back off the ground to 45% of the height of the previous bounce (or the height
from which it is dropped when considering the first bounce).
Answer:
8.5
Step-by-step explanation:
how I got 8.5 is I did 19 X 45% which is equal to 8.5
An investment portfolio is shown below.
Investment
Money Market Account $3,200
Government Bond
$1,750
Preferred Stock
$1,235
Common Stock
$2,300
O 0.5%
O 1.1%
Amount Invested ROR
02.3%
O 3.5%
2.1%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to
the nearest tenth of a percent.
4.4%
-7.8%
10.5%
Using a calculator, the difference between the arithmetic average ROR and the weighted average ROR is Option B) 0.1%
How did we arrive at this conclusion?arithmetic average ROR is given as
(2.1% + 4.4% - 7.8% + 10.5%) / 4 = 0.02300
The Weighted Average ROR
[(0.021 x 3200 ) + (0.044 x 1750) + (-0.078 x 1235) + (0.105 x 2300)] / (3200 + 1750 + 1235 + 2300) = 0.0341037124337065
Thus:
The Weighted Average ROR - arithmetic average ROR
= 0.0341037124337065 - 0.02300
= 0.01110371243 x 100
= 1.11037124337%
≈ 1.1%
So we are correct to state that Option B is the right answer.
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The probability P(Z>1.28) is closest to: (a) −0.10
(b) 0.10
(c) 0.20
(d) 0.90
Answer:
Step-by-step explanation:
The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.
Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.
Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.
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From the set {4, 8, 10}, use substitution to determine which value of x makes the equation true.
To use substitution to determine which value of x makes the equation true, we must first have an equation to substitute the values from the set {4, 8, 10} into.
If we don't have an equation, we can't use substitution.
It would be helpful if you could provide an equation to solve with the set {4, 8, 10}
14.) George is designing a pool that will be 34 feet long. He plans to make
a scale drawing of the pool by letting 1/4 inch represent 1 foot. How long
should the line representing the length of the pool in the diagram be?
Answer:
I believe the answer is 8.5 inches long
Step-by-step explanation:
we have to find out how long 1/4 × 34 is, since each 1/4 represents one of the 34 feet of the pools length.
34×.25 = 8.5
How do I do this, I don’t get it
Answer:
\(y=1(x-10)^2-20\)
luis strength trains two times per week. he uses 12-pound weights and performs three sets of eight repetitions. he wants to improve his frequency. what should he do?
If Luis trains two times per week with 12-pound weights , then to improve his strength, he should (d) Increase to three times per week.
By Increasing the frequency of his strength training sessions from two times per week to three times per week can help Luis improve his strength by exposing his muscles to more stimulation and allowing for more adaptations to occur.
It is important to remember to progress gradually and listen to his body to avoid injury.
The option (d) ; involves increasing the frequency of his strength training sessions from two times per week to three times per week. By exposing his muscles to more stimulation, he will be allowing for more adaptations to occur and potentially leading to greater strength gains.
The given question is incomplete , the complete question is
Luis strength trains two times per week. He uses 12-pound weights and performs three sets of eight repetitions. He wants to improve his frequency. What should he do?
(a) Increase to 10 repetitions.
(b) Increase to 15-pound weights.
(c) Increase to four sets.
(d) Increase to three times per week.
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Picture attached help please!
The missing lengths in the triangles are h = 3/2√2 and b = 4√3
How to determine the missing lengthsTriangle a and b
From the question, we have the following parameters that can be used in our computation:
A special right triangle
For a right triangle with an angle of 45 degrees
The measure of the leg is
h = Hypotenuse/√2
So, we have
h = 3/√2
Evaluate
h = 3/2√2
For the other triangle, we have
sin(60) = b/6
So, we have
b = 6/sin(60)
Evaluate
b = 4√3
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15.5% of an amount is 713.
What is the original amount?
Let the original amount be x
Then According to the question,
15.5 % of x is 713
15.5% * x = 713
(15.5 / 100 ) * x = 713 ( as 1 Percent =1/100)
x = 713 * 100/15.5
x = 4600
So, the original amount is 4600.
The original amount is calculated by setting up an equation using percentages, representing the original amount as X: 15.5 / 100 * X = 713. This equation is then solved to find X = (713 * 100) / 15.5, which results in X = 4600. Thus, the original amount is 4600.
The subject of the question is percentage calculation. In this situation, we can understand that 15.5 percent of an original amount equates to 713.
To find the original amount, we can set up an equation with the values provided. If we represent the original amount as X, then: 15.5 / 100 * X = 713.
To isolate X and hence find the original amount, we can solve this equation by dividing both sides by 15.5 and multiplying by 100: X = (713 * 100) / 15.5.
Calculating this gives us X = 4600. So, the original amount was 4600.
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1. The largest alligator ever caught in Mississippi weighed 727 pounds, whats an inequality that represents the weights of every other alligator that has ever been caught in Mississippi?
Answer:
x < 727 pounds
Step-by-step explanation:
Let the weights of every other alligator caught in Mississippi be represented with the variable \(x\)
For the largest alligator ever caught to weigh 727 pounds, that means that the weights of every other alligator caught in Mississippi will definitely be less than 727 pounds.
To show this inequality, we will use the less than symbol ( < )
Hence, we have \(x <727 pounds\)
1/secA+tanA = 1-sinA/cosA
Answer:
Below.
Step-by-step explanation:
1 / secA+tanA = 1 / [1/cosA+sinA/cosA))]
= 1/ [(1 + sinA)/cosA]
= cosA/(1+sinA)
Now check if this is identical to 1-sinA/cosA:
1-sinA/cosA = cosA/(1+sinA)
Cross multiply:
(1-sinA)(1+sinA) = cos^2A
1 - sin^2A = cos^2A
sin^2A + cos^2A = 1
This is a known idenity.
So the original identity is true.
2. By writing each number in the calculation below correct to 2 significant figures, estimate the value of
478 × 49.82
0.1248?
Answer:
I got 24,000 by doing 479 to 2.s.f which is 480 and you'll do the same for 49.82 which is 50 therefore, 480 x 50 =
24,000
Step-by-step explanation:
The length of a rectangle is 4 more than the width. Find the width of the rectangle if the area is 32.
Answer:
length = 8
width = 4
Step-by-step explanation:
Area = length x breadth
Let x represent the width
length = x + 4
32 = x × (x + 4)
32 = x² + 4x
x² + 4x - 32 = 0
solving using quadratic equation =
(x² - 4x) -32 + 8x
x = 4 or -8
since width cannot be a negative number, we would use 4
What is the mass of the water that is being heated? 15 g 40 g 63 g 80 g
Answer: A. 15g
Explanation:
I took the quiz on edge 2022
Answer:
15 G
Step-by-step explanation:
The answer is A
4. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
1. $14,310.40
2. $14,990.90
3. $15,290.70
4. $15,737.50
5. $16,935.80
Answer:
12590/80*100 = $15,737.50 4. Is your Answer
Step-by-step explanation:
12590 is 80% so simply divide by 80 and multiply by 100 to get the answer.
suppose 76% of people like peanut butter, 82% like jelly, and 75% like both. given that a randomly sampled person likes peanut butter, what's the probability that he also likes jelly? (round your answer to four decimal places.)
The probability that a randomly sampled person who likes peanut butter also likes jelly is approximately 0.9868 (rounded to four decimal places
To solve this problem, we can use the concept of conditional probability. We want to find the probability that a randomly sampled person likes jelly given that they like peanut butter.
Let's define the events:
A: Person likes peanut butter.
B: Person likes jelly.
We are given the following probabilities:
P(A) = 0.76 (76% like peanut butter)
P(B) = 0.82 (82% like jelly)
P(A ∩ B) = 0.75 (75% like both)
We want to find P(B|A), which represents the probability of liking jelly given that the person likes peanut butter.
Using the formula for conditional probability:
P(B|A) = P(A ∩ B) / P(A)
Substituting the given values:
P(B|A) = 0.75 / 0.76 ≈ 0.9868
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in which step of hypothesis testing do we state that we retain or reject the null hypothesis?
The step of make a decision of hypothesis testing is where we state that we retain or reject the null hypothesis.
What us hypothesis testing?
A statistical hypothesis test is a technique for determining if the available data are sufficient to support a specific hypothesis. We can make decisions regarding population parameters through hypothesis testing.
Early kinds of hypothesis testing were utilized in the 1700s, while the practice gained popularity in the early 20th century. John Arbuthnot (1710) is credited with developing the method originally, and Pierre-Simon Laplace (1770s) is credited with developing it further.
The process of deciding to reject or retain the null hypothesis is called significance. and the step of hypothesis testing, in which we state that we retain or reject the null hypothesis is the step in which we make a decision.
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Six Less than a number is negative two
what is this as a written equation
Answer: x-6=-2
Step-by-step explanation:
when asking what 'blank' less than a number is, you are gonna subtract 'blank' from the number. Also, just incase, x=4.
The product of -3.5 and a number, n is greater than 17.5
Answer:
n > 5
Step-by-step explanation:
3.5n > 17.5, or
n > 5
A newspaper in Germany reported that the more semesters needed to complete an academic program at the university, the greater the starting salary in the first year of a job. The report was based on a study that used a random sample of 24 people who had recently completed an academic program. Information was collected on the number of semesters each person in the sample needed to complete the program and the starting salary, in thousands of euros, for the first year of a job. The data are shown in the scatterplot below. 70 65 60 55 Starting Salary (1.000 euros) 50 45 35 30 25 5 10 15 20 Number of Semesters (a) Does the scatterplot support the newspaper report about number of semesters and starting salary? Justify your answer. b) The coefficient of determination is 0.335. Interpret this value in the context of this problem. c) Determine the value of the correlation coefficient. Interpret this value in the context of this problem.
a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.
b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.
c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.
The Correlation Coefficienta) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.
b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.
c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.
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find the product
8y^3(6y^2-7y+2)
Answer:
48y^5-56y^4+16y^3
Step-by-step explanation:
Answer:
Step-by-step explanation:−look at picture
A train left newyorkat 10:00am and arrived in washington at 1:45pm . If the distance between the two cities in 225 miles, what was the average rate of speed of the train
Answer:
60 mph
Step-by-step explanation:
A train left New York at 10:00 am
The train arrived at Washington at 1:45pm
The distance between the two cities is 225 miles
The average rate of speed can be calculated as follows
Distance= 225 miles
Time= 3 hours 45 minutes
= 3.75hrs
= distance/time
= 225/3.75
= 60 mph
Hence the average rate of speed of the train is 60 mph
Find the number of turns or bumps in the graph of the function f(x) = x² - 25
Answer:
1 turn
Step-by-step explanation:
this is what the graph would look like:
A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from the top of the pole to a stake in the ground opposite of the building. If the stake is 30 feet from the pole, what angle does the cable make with the pole?
Round the answer to the nearest tenth.
9514 1404 393
Answer:
38.5°
Step-by-step explanation:
A triangle solver can give an answer easily. The angle is 38.5°.
__
The law of cosines can be written to solve for an unknown angle C opposite side 'c' and flanked by sides 'a' and 'b'.
C = arccos((a² +b² -c²)/(2ab))
Here, we have a=35, b=48, c=30, so the angle is ...
C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360) ≈ 38.515°
The angle the cable makes with the pole is about 38.5°.
Jackie has 120 apps on her phone, which is 6 times as many as her younger sister. How many apps does Jackie’s younger sister have?
Answer:
20
Step-by-step explanation:
120/6 = 20
Answer:
just do
Step-by-step explanation:
120 multiply by 6
brad is in a big dorm with 180 other students. let x be the number of other students who have the same birthday as brad. using poisson approximation, approximate the probability that (a) there is at least one student with same birthday as brad? (b) exactly one student with same birthday as brad? (c) at least two students? compare this with the exact probability. you may assume that the birthday of each of the other students is equally likely to be any one of the 365 days (no students born on leap years) and independent of each other
Using the Poisson Approximation the probability are:
a) 0.6321
b) 0.3679
c) 0.2642
The Poisson distribution is utilized to compute the likelihood of a particular amount of occurrences happening over a set period. The Poisson approximation will be used to answer the given question, and it is a form of a probability distribution that can be used to approximate the probability of particular events that occur infrequently, and it is suitable for both continuous and discrete variables.
a) The probability of having at least one student with the same birthday as Brad using the Poisson Approximation.
Let the number of other students with the same birthday as Brad be represented by x. Here, x is a discrete variable with a Poisson distribution that follows a Poisson distribution with an average of λ, which is equal to 1:
λ = average number of students having the same birthday as Brad = 1.
Using the Poisson distribution formula, the probability of having at least one student with the same birthday as Brad is given by:
P(X >= 1) = 1 - P(X = 0)
= 1 - e ^ (-λ)P(X = 0)
= (e^(-λ))(λ^0) / 0!
= e^(-λ)
= e^(-1)
= 0.3679
Therefore, the probability of having at least one student with the same birthday as Brad is:
P(X >= 1) = 1 - P(X = 0)
= 1 - 0.3679
= 0.6321
b) The probability of having exactly one student with the same birthday as Brad using Poisson Approximation
P(X = 1) = (e^(-λ))(λ^1) / 1!
= e^(-1)(1) / 1!
= e^(-1)
= 0.3679
Therefore, the probability of having exactly one student with the same birthday as Brad is:
P(X = 1)
= e^(-1)
= 0.3679
c) The probability of having at least two students with the same birthday as Brad using Poisson Approximation
P(X >= 2) = 1 - P(X < 2)
= 1 - [P(X = 0) + P(X = 1)]
= 1 - [e^(-λ)(λ^0) / 0! + e^(-λ)(λ^1) / 1!]
= 1 - [e^(-1) + e^(-1)(1) / 1!]
= 1 - [e^(-1) + e^(-1)]
= 1 - 2e^(-1)
= 0.2642
Compare the Poisson Approximation (a) Probability with the exact probability- At least one student with the same birthday as BradExact probability: 1 - (364/365)^180 = 0.4406
Poisson Approximation Probability: 0.6321
The exact probability is 0.4406, which is less than the Poisson approximation probability, which is 0.6321.
This result indicates that the Poisson approximation formula overestimates the likelihood of having at least one student with the same birthday as Brad.
(b) Exactly one student with the same birthday as BradExact probability: (364/365)^179(1/365) = 0.3775
Poisson Approximation Probability: 0.3679
The exact probability is 0.3775, which is quite similar to the Poisson approximation probability, which is 0.3679.
This result indicates that the Poisson approximation formula provides a reasonably precise estimate of the likelihood of having exactly one student with the same birthday as Brad.
(c) At least two students with the same birthday as BradExact probability: 1 - [1 + 364/365 + ... + (364!/347!)/365^34] = 0.1827
Poisson Approximation Probability: 0.2642
The exact probability is 0.1827, which is less than the Poisson approximation probability, which is 0.2642.
This result indicates that the Poisson approximation formula overestimates the likelihood of having at least two students with the same birthday as Brad.
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Consider the following ordered pairs that represent a relation.
{(-4,-7), (0, 6), (5,-3), (5,2)}
What can be concluded of the domain and range for this relation? Check all that apply.
The domain is the y values of the ordered pairs.
The range is the set of output values.
The given relation is a function.
Zero is included in the range of the relation.
5 is included in the domain of this relation,
==========================================
Explanation:
Choice A is false because the domain consists of the x values, not the y values. The domain is the set of allowed inputs.Choice B is true because the range is the set of possible output y values.Choice C is false because the input x = 5 leads to multiple outputs (y = -3 and y = 2 at the same time). Plotting all the points on the same xy grid shows the relation fails the vertical line test.Choice D is false because y = 0 is not in any of the points. Choice E is true since x = 5 is part of (5,-3) and (5,2)Answer:
The answers are B.) The range is the set of output values. and E.)
5 is included in the domain of this relation.
Step-by-step explanation:
This is right on edg. 2020
Find the unit rate.
2 specialty pizzas for $38.50 = $_______________ p
Answer:
Step-by-step explanation:
to find this all you need to do is divide the total price by the number of units you have. in this case 38.50 / 2 = 19.25 per pizza
Hello there! :)
If 2 pizzas cost 38.50 dollars, then we have to dibvide by 2 to find out the price of one pizza.
$19.25
Therefore, our final answer is: 19.25Hope this helps!
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