The value of Eccentricity is close to 1 and is between 0 and 1 therefore, the equation is of ellipse.
What is eccentricity of an eclipse ?
The eccentricity of an eclipse is found by using the formula, eccentricity = c/a
Where,
c represents the distance between the center and a focus.
a represent the distance between that focus and a vertex
a) Eccentricity close to 0
An ellipsis with eccentricity whose value is 0, is in fact, a degenerate one almost a circle. An ellipse whose value is close to zero is almost a degenerate circle. The closer the eccentricity comes to zero, the more rounded gets the ellipse just like a circle.
b) for eccentricity > 1 we get a hyperbola and for infinite eccentricity we get a line :
An eccentricity e >1 that the distance between the Foci has to be five greater then 1 larger than the half of its longer axis! In this case, there can't be an ellipse since the eccentricity must be between 0 and 1.
c) Eccentricity close to 1
In this case, the eccentricity close or equal to 1 We must conceive an ellipse whose measure for the half of the longer axis a and the distance between the Foci 'c' they both have the same size.
now calculating eccentricity, e for x²/12 + y²/49=1 :
e = √(a²-b²) / a
e = √(49-12) /7
e = 6.08/7
e = 0.87
The value of Eccentricity is close to 1 and is between 0 and 1 therefore, the equation is of ellipse.
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A fair 6-sided die is rolled 300 times. What is a reasonable prediction for the number of times the event of landing on an odd number will occur?
A. 150
B. 50
C. 175
D. 100
Answer:
A. 150
Step-by-step explanation:
Calculate the probability of landing on an odd number: 1/2.
Multiply the probability by the number of trials: (1/2) * 300.
Simplify the expression: 150.
Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.
solve the equation
pic:
The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891
How to solve the equationFrom the question, we have the following parameters that can be used in our computation:
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)
Using the following trigonometry ratio
sin²(x) + cos²(x) = 1
We have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)
The sum to infinity of a geometric series is
S = a/(1 - r)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)
Evaluate the sum
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)
This gives
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)
Hence, the solution to the equation is 10.3891
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Armstrong's Axioms Let R be a relation composed of the columns: Z Y X WEGH. Let F be the following functional dependencies which hold over R: a) ZY-X b) Y-W c) Y→X d) X-Z e) XW-E Ô XE → GH g) GH-E se only Armstrong's Axioms (below) to solve the following question: Y EX X→Y :X-YXZ ⇒ YZ X Y&Y-Z⇒X-Z e a derivation sequence for ZY-E
We have derived ZY-E using Armstrong's axioms.
To derive ZY-E using Armstrong's axioms, we'll go through a series of steps using the given functional dependencies and the axioms of Armstrong's closure.
The given attribute set is ZY-E.
Apply reflexivity:
ZY-E ∪ ZY-E ⇒ ZY-E
Apply augmentation:
ZY-E ⇒ ZY-XE (using the functional dependency ZY-X)
Apply transitivity:
ZY-XE, XE → GH ⇒ ZY-GH (using the functional dependency XE → GH)
Apply augmentation:
ZY-GH ⇒ ZY-GHE
Apply decomposition:
ZY-GHE ⇒ ZY-E
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2x - 6 = 10 PLS HELP I NED THE ANSWERS RIGHT AWAY
Answer:
Step-by-step explanation:
-12
Answer:
x = 8
Why?
Step-by-step explanation:
2(8) - 6 = 10
16 - 6 = 10
there you go :-)
HOPE IT HELPS
(FROM CROSS)
Warren just found his old journal in a drawer and has decided to start making 1 journal entry every day. There were already 8 entries in his journal.
Write an equation that shows how the total number of journal entries, y, depends on the number of elapsed days, x.
Can someone please help
Answer:
C: 180
Step-by-step explanation:
Since the table is comparing tickets to 25 people and we need to compare it to 450 people, we need to first find how much bigger 450 is to 25:
450/25 = 18 times larger
With this number, we can find the amount of tickets needed:
18 x 10 coupons for soda = 180 tickets
PLS HALP- Fill in the blanks-sometimes-always-or never-
-Irrational numbers can be expressed by ratio of 2 integers (sometimes-always-or never)
-If a number is a whole number, it is also rational (sometimes-always-or never)
-Rational numbers are also integers (sometimes-always-or never)
-Non-perfect squares are irrational (sometimes-always-or never)
Pls answer correctly ty
Answer:
I think they are all always.
Step-by-step explanation:
They are called rational because they are the ratio, or quotient, of two integers
numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end and does not repeat a pattern.
Sorry but need help again! 10 points and if two people answers brainiest goes to first!! :)
Answer:
B. Domain is left to right so the left point is solid on 2 and the right is solid on 8. The solid point means it can also be equal to.
Answer:
B) {x : 2 \(\leq\) x \(\leq\) 8 }
Step-by-step explanation:
The function of the graph's x values are between 2 and 8, but the dots at the ends of the function are closed, hence the answer is
2 \(\leq\) x \(\leq\) 8
please give me answer
please give me answer
Did I read your handwriting correctly? Is this what you wrote? If so the answer is:
\((x( {x}^{2} - 2xy - {y}^{2} ) \div (x + y)(x - y)^{2} \)
Points A, R and G are points of tangency. Find the perimeter of ∆NET below.
Answer:
\(\small\mathfrak\red{here \: is \: your \: solution..} \\ \\ we \: know \: that \: tangent \\ from \: a \: same point \: are \: equal \\ \\ tr = 9 | an = 7 | eg = 5 \\ \\ tr = ta | an = gn | eg = re \\ \\ ta = 9 | gn =7 | re = 5 \\ \\ hence \: perimeter \: = 2(9 + 7 + 5) \\ \\ perimeter = 42 \: \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}\)
a ladder 30m long rest on a vertical wall. if the angle make an angle of 63°with the wall find the distance between the foot of the ladder and the wall
Question 3 of 10
2 Points
Is ABC= DEF? If so, name the congruence postulate that applies.
GO
E
Given:
AB DE
BC EF
CA = FD
A
C
D
F
O A. Might not be congruent
B. Congruent - SSS
O C. Congruent - SAS
D. Congruent - ASA
Answer: B
Step-by-step explanation:
Should be B because there are no given angles.
The congruence postulate that applies is the SSS postulate
Properties of similar triangles
Triangles are known to be similar if the ratio of their sides is the same and they have equal angles
From the given diagram, we can see that the measure of the similar sides of the triangles is the same, hence we can conclude that the triangles are similar to the Side-Side-Side congruence triangle.
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In the past, the output of a process had a mean of 2.050 and a standard deviation of 0.020 liters. If a current sample of output had these values {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, would that indicate that the process is still "in order" (as opposed to being "out of order")? What if the sample was {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}?
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."
To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:
Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):
Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.
Compare the sample mean to the known process mean (2.050):
The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."
Calculate the sample standard deviation using the formula:
Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))
Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.
Compare the sample standard deviation to the known process standard deviation (0.020):
The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."
For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:
Calculate the sample mean:
Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034
Compare the sample mean to the process mean (2.050):
The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."
Calculate the sample standard deviation:
The sample standard deviation is approximately 0.019 liters.
Compare the sample standard deviation to the process standard deviation (0.020):
The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.
In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.
However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.
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solve for X
−3x−28=95
Answer:
−3x−28=95-3x = 95+28-3x = 123-x = 123/3-x = 41x = -41Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
-41
Step-by-step explanation:
I took the test
Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question:
graph of 3 x to the fourth, minus x cubed, plus 3 x squared, plus x minus 3
What is the average rate of change from x = 0 to x = 1?
A telescope is able to detect radiation with a wavelengthof 0.000008157 meters.Estimate using Scientific notation
We have to write the non zero digits, with the decimal points after the first digit.
8.157
And the add x10 to a power.
Since the number is smaller than one, we have to move the decimal point to the right as many places as the power (in negative form)
0.000008157 = 8.157 x 10^-6
You pick a card at random. 6 7 8 9 What is P(6)? Write your answer as a percentage.
20%
since there are 4 cards and 6 occurs 1 between those cards it would be 1/4 which is 20% as a percentage
What is the prime factorization of 64? Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17.
The prime factorization of 64 :
64 divided by 2 = 32
32 divided by 2 = 16
16 divided by 2 = 8
8 divided by 2 = 4
4 divided by 2 = 2
2 divided by 2 = 1
So,
64 = 2 x 2 x 2 x 2 x 2 x 2
help me on questions 27-35 and no linkss
Have a good day!!
Answer:
-8vhvcdzssaghjkgddsaaasdggbhTRUE / FALSE. when the block is in equilibrium, each spring is stretched an additional ∆x. then the block is set into oscillation with amplitude a; when it passes through its equilibrium point it has a speed v.
The statement is true.
When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.
When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.
The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.
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if carl's gpa is 2.2, his gpa has a z-score of [ select ] , and he has a higher gpa than approximately [ select ] of other students at uta. next
Using a standard normal distribution table, we can find that the percentage of values below a z-score of -1.6 is approximately 5.0%. Therefore, we can say that Carl has a higher GPA than approximately 95% of other students at UTA.
To determine Carl's z-score, we need to know the mean and standard deviation of GPAs at UTA. Without this information, we cannot calculate the z-score. However, we can still determine the percentage of other students at UTA who have a lower GPA than Carl. We can use a standard normal distribution table to find this percentage, assuming that GPAs at UTA are approximately normally distributed.
First, we need to calculate the z-score corresponding to Carl's GPA of 2.2. Assuming a mean GPA of 3.0 and a standard deviation of 0.5, we can use the formula: z = (x - μ) / σ
where x is Carl's GPA, μ is the mean GPA, and σ is the standard deviation. Plugging in the values, we get:
z = (2.2 - 3.0) / 0.5 = -1.6
Using a standard normal distribution table, we can find that the percentage of values below a z-score of -1.6 is approximately 5.0%. Therefore, we can say that Carl has a higher GPA than approximately 95% of other students at UTA.
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coins the susan b. anthony dollar coin has a hendecagon (11-gon) inscribed in a circle in its design. each edge of the hendecagon is approximately 7.46 millimeters. what is the area of this regular polygon? round to the nearest hundredth.
The area is 264.63 square millimeters.
To find the area of the hendecagon, we need to know its apothem (the distance from the center of the circle to the midpoint of any side) and its perimeter (the total length of all 11 sides).
To find the apothem, we can draw radii from the center of the circle to the midpoint of each side of the hendecagon. This will divide the hendecagon into 22 congruent isosceles triangles. The apothem is the height of one of these triangles. To find the height, we can use the Pythagorean theorem:
height² + (7.46/2)² = (7.46)²
height² = (7.46)² - (7.46/2)²
height ≈ 6.44
So the apothem is approximately 6.44 millimeters.
To find the perimeter, we can multiply the length of one side (7.46 mm) by 11:
perimeter = 7.46 × 11 = 82.06
Now we can use the formula for the area of a regular polygon:
area = (apothem × perimeter) / 2
area = (6.44 × 82.06) / 2 ≈ 264.63
Therefore, the area of the hendecagon inscribed in the Susan B. Anthony dollar coin design is approximately 264.63 square millimeters. Rounded to the nearest hundredth, the area is 264.63 square millimeters.
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hi can you please help me, please
1. Remote interior angles of ∠RPQ are: ∠PRQ and ∠RQP.
2. ∠RPS
3. ∠RPS, ∠QPV, and ∠QRU.
4. ∠RPS = ∠QPV [vertical angles]
5. ∠RPS + ∠RPQ = 180° [linear pair]
What are Remote Interior Angles of an Exterior Angle in a Triangle?The remote interior angles to an exterior angle in a triangle are angles that lie directly opposite the exterior angle of the triangle and do not share a vertex or corner of a triangle with the exterior angle.
1. Remote interior angles of ∠RPQ are: ∠PRQ and ∠RQP.
2. ∠RPS is an exterior angle that has ∠PRQ and ∠RQP as its remote interior angles.
3. Exterior angles of the triangle are: ∠RPS, ∠QPV, and ∠QRU.
4. ∠RPS = ∠QPV [vertical angles]
5. ∠RPS + ∠RPQ = 180° [linear pair]
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Help meh ill mark you all 4 plz if you can
Answer:
Step-by-step explanation:
5+ 1 7/8 = 6 7/8
3 - 1 3/4 = 1 1/4
7 3/4 + 4 = 11 3/4
4- 2 3/7 = 1 4/7
A farmer had 16 sacks of corn, to which he adds : } of a sack. How many sacks of corn does he have now?
Answer:
I think part of the problem listed above is missing?
Consider "Since some shoes are sneakers, some non-sneakers are non-shoes." This inference, drawn by contraposition, is:
A) Valid
B) Not valid
C) Valid by limitation
The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”
We know that all sneakers are shoes, but all shoes are not sneakers. Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”
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Answer both parts it is not two questions it is only one
question
a)When it comes to Avocados, the Chipotle store has a weekly
demand of 200 avocados for their delicious guacamole, with a
standard deviation of 10. Cost of stockout (Cs) is $4.50 and Cost of excess (Ce)$ 1.25 (Avocados, like everything else, have gotten expensive!). Find the optimal weekly stocking level for avocados.
b)The Chipotle store is going strong and data shows that it goes through 45 bottles of the Tapatio Red sauce per week (some like their burritos hot!). Weekly usage has a standard deviation of 2.75. The manager will accept no more than an 8% risk of stockout during lead time, which is two weeks. Assume distribution of usage is normal. 1. Determine the value of Z (1 point) 2. Determine the ROP (1 point) 3. If acceptable risk were to go down to 5%, what would be the new ROP?
The optimal weekly stocking level for avocados can be found by using the Economic Order Quantity (EOQ) formula. Thus, the new ROP would be 97.
The formula is given as: EOQ = sqrt(2DS/H), where
D = Annual demand (52 weeks × 200 avocados) = 10,400S
Cost of stockout = $4.50H
Cost of excess = $1.25Using the given values,
EOQ = sqrt(2 × 10,400 × 4.5/1.25)
EOQ = 381.75 ≈ 382
Thus, the optimal weekly stocking level for avocados is 382.
b)To find the Reorder Point (ROP), we need to use the formula ROP = dL + zσL
where, d = Average demand during the lead time
L = Lead time
z = Z value corresponding to the required service level
σL = Standard deviation of demand during lead time
From the given data, Average demand during the lead time is: dL = 45 × 2 = 90
Since the manager will accept no more than an 8% risk of stockout during lead time, the Z value corresponding to the required service level is 1.28 (as per the standard normal distribution table).
The standard deviation of demand during lead time is: σL = √(2.75² × 2) = 3.89
Thus, 1. The value of Z is 1.28. 2. The Reorder Point (ROP) can be calculated as: ROP = dL + zσL
ROP = 90 + 1.28 × 3.89
ROP = 95.01 ≈ 953
If acceptable risk were to go down to 5%, the new Z value corresponding to the required service level would be 1.64 (as per the standard normal distribution table).
Using this value in the formula for ROP, the new ROP can be calculated as:
ROP = dL + zσL
ROP = 90 + 1.64 × 3.89
ROP = 96.37 ≈ 97
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Discuss four applications of the capital asset pricing model (CAPM). (8 marks) Dzikunze Manufacturing Limited is considering to raise an extra Sh.10 million in order to finance an expansion programme. The company's current capital structure is given as follows: Additional information: 1. The company is considering raising the funds using two alternative financing options namely: Option t: To raise all the funds through the issue of new ordinary shares at par. Option II: To raise half of the funds through the issue of new ordinary shares at par and the balance through the issue of new 12% debentures at par. 2. The corporation tax rate is 30 s. Required: (i) Earnings belore interest and tax (FB|T) at the point of indifference in company's earnings for each financing option. (8 marks).
Capital asset pricing model (CAPM) Applications of Capital Asset Pricing Model (CAPM) are as follows;The most important application of CAPM is in the calculation of the cost of equity.
CAPM is used by financial analysts and investors to determine the appropriate rate of return for individual stocks and portfolios. CAPM is also useful in determining the required rate of return for capital projects. By calculating the cost of equity capital, companies can make better investment decisions by determining which projects will yield the greatest return on investment.
CAPM can be used in the valuation of assets, such as stocks, real estate, and other investments. Finally, CAPM is useful in evaluating risk.
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Yolanda is buying supplies for school. she buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. what does each term in the expression 1.4 1.2 represent?
Yolanda is buying school supplies. She buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. The expression 1.4 represents the cost of one package of pencils while the expression 1.2 represents the cost of one pad of paper.
The given expressions represent the cost of one package of pencils and one pad of paper. Hence,1.4 represents the cost of one package of pencils.1.2 represents the cost of one pad of paper.Yolanda buys n packages of pencils.
Therefore, the total cost of pencils will be n × 1.4
Similarly, Yolanda buys m pads of paper.
Therefore, the total cost of pads will be m × 1.2
Therefore, the total cost of buying n packages of pencils at 1.40 per package and m pads of paper at 1.20 each will be,1.4n + 1.2m
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between what two consecutive integers is 17?
Answer:
No solution
Step-by-step explanation:
17 is an integer that is in between the integers of 16 and 18
16 and 18 are not consecutive integers.
No solution