The measure of the inscribed Angle ACB is (31/360) × πr
Inscribed angles and central angles are two different kinds of angles in a circle. Both angles share the same vertex and endpoints, but their position differs.
Inscribed angles are the angles formed from two intersecting chords in a circle, whereas central angles are the angles whose vertex is the center of the circle and whose endpoints lie on the circle. These two kinds of angles have a special relationship, which can be explained using the Central Angle Theorem.
Let's look at how to use the Central Angle Theorem to solve this problem. Here is the diagram of the given problem: Inscribed Angle and Central Angle
The Central Angle Theorem states that the measure of a central angle is twice the measure of its corresponding inscribed angle. It means that if you know the measure of a central angle, you can find the measure of the inscribed angle. The inscribed angle and the central angle both have the same intercepted arc, so the measure of the inscribed angle is half the measure of the intercepted arc.
To find the measure of the inscribed angle ACB, we need to find the measure of the intercepted arc AB first. Using the formula for finding the measure of an arc, which is: measure of arc = (central angle/360) × 2πrWe can find the measure of the intercepted arc AB as follows:
measure of arc AB = (62/360) × 2πr Note that we don't know the radius of the circle, so we can't find the exact measure of the arc. However, we don't need to know the exact measure of the arc to find the measure of the inscribed angle. We only need to know that the measure of the arc is twice the measure of the inscribed angle ACB. Therefore, we can write: measure of inscribed angle ACB = (1/2) × (measure of arc AB)measure of inscribed angle ACB = (1/2) × (62/360) × 2πrSimplifying this expression, we get: measure of inscribed angle ACB = (31/360) × πr
Hence, the measure of the inscribed angle ACB is (31/360) × πr.
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Help plz!!!!!!!!!!!!!!
"Twelve less than two-thirds a number is 48"What is the number?
Answer:
-54
Step-by-step explanation:
1.) 12-2/3x=48
2.) Multiple by 3 on both sides
36-2x=144
3.) Move the constant on the other side by subtracting it.
-2x=144-36
4.) Subtract numbers
-2x=108
5.) Divide both sides by -2
-2=108
÷2 ÷2
6,) Then you get x=-54
usage patterns are a variable used in blank______ segmentation.
Answer:
usage patterns are a variable used in market segmentation.
Step-by-step explanation:
Usage patterns are a variable used in behavioral segmentation.
Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.
Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.
By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.
Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.
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A project has a 0.62 chance of doubling your investment in a year and a 0.38 chance of halving your investment in a year. What is the standard deviation of the rate of return on this investment? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Standard deviation % ???????
The standard deviation of the rate of return on this investment is approximately 0.55. This means the investment’s annual return is expected to deviate from the mean by an average of 0.55.
To calculate the standard deviation, we need to determine the possible returns and their probabilities. Let’s assume an initial investment of $100. With a 0.62 chance of doubling the investment, we have a 0.62 probability of getting a return of $200 (doubling the initial investment) and a 0.38 probability of halving the investment to $50.
Now we calculate the expected return (mean): (0.62 * $200) + (0.38 * $50) = $124 + $19 = $143.
Next, we calculate the variance:
[(($200 - $143)^2 * 0.62) + (($50 - $143)^2 * 0.38)] = ($57^2 * 0.62) + ($93^2 * 0.38) = $2032.86 + $3370.42 = $5403.28.
Finally, we take the square root of the variance to obtain the standard deviation: √$5403.28 ≈ $73.54.
Since we are interested in the rate of return, we divide the standard deviation by the initial investment of $100, yielding a standard deviation of approximately 0.7354 or 0.55 when rounded to two decimal places.
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Complete the equation of the line whose slope is -2 and y intercept is (0,-8)
Answer:
y=-2x-8
Step-by-step explanation:
Which statement correctly compares the average number of eggs laid per day for each barn?
By taking the average number of eggs for both barns, we will see that the correct option is A.
How to get the average?
For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:
\(M = \frac{x_1 + x_2 + ... + x_n}{N}\)
For barn 1, the set is {2, 5, 5, 6}
So the mean is:
M1 = (2 + 5 + 5 + 6)/4 = 4.5
For the barn 2, the set is {3, 6, 8, 9}
So the mean is:
M2 = (3 + 6 + 8 + 9)/4 = 6.5
Now, taking the quantity 100%(M2 - M1)/M1 we get:
100%*(6.5 - 4.5)/4.5 = 44%
So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.
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La suma de las probabilidades de todos los posibles resultados de un experimento aleatorio debe ser igual a
Respuesta: Uno
La suma de la probabilidad de todos los resultados posibles de un experimento aleatorio debe ser igual a uno.
Porque algunos resultados más ocurren en cada sendero y la suma de todas las probabilidades es 100% o uno.
Espero haber ayudado, buena suerte! :)
A custodian went to buy x boxes of cleaning supplies and y boxes of light bulbs. He had the back of a van to transport them. Given a maximum amount that he could spend, and a limited space to put the supplies in, the following system of inequalities and graph represent the constraints.
LOOK AT SCREENSHOT FOR THE GRAPH
Which of the following points represent real solutions for this situation? Select all that apply.
(0, 40)
(30, 20)
(37.5, 15)
(50, 5)
Answer:
c is it
Step-by-step explanation:
a p e x
Find: (4x2y3 2xy2 â€"" 2y) â€"" (â€""7x2y3 6xy2 â€"" 2y) Place the correct coefficients in the difference. X2y3 xy2 y.
The required coefficient is 11,-4 and 0.
Given expression is,
\((4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)\)
we have to find the coefficient of the above expression.
ON solving the above expression,
\((4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=4x^{2} y^{3} +2xy^2-2y+7x^2y^3-6xy^2+2y\)
\((4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=11x^2y^3-4xy^2+0y\)
Hence from the above expression, it is clear that the coefficient of \(x^2y^3\) is 11,\(xy^2\) is -4 and \(y\) is 0.
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A diesel generator which has been constructed after 2000 is emitting a sound pressure of 800 µBar. What is the noise produced by generator in dB at 1 m from the source?
The noise produced by a diesel generator can be determined using the formula for sound pressure level (SPL) in decibels (dB). The formula is: SPL (dB) = 20 log10 (P / Pref), Where: SPL is the sound pressure level in decibels, P is the sound pressure in pascals (Pa), Pref is the reference sound pressure, which is generally set to 20 µPa (micropascals)
In this case, we are given the sound pressure of the diesel generator, which is 800 µBar. However, we need to convert this value from µBar to pascals (Pa) in order to use the formula. To convert µBar to pascals, we can use the conversion factor: 1 µBar = 0.1 Pa. Therefore, the sound pressure in pascals is 800 µBar * 0.1 = 80 Pa. Now we can calculate the sound pressure level (SPL) in decibels (dB) using the formula mentioned above: SPL (dB) = 20 log10 (80 / 20 µPa). Simplifying this calculation: The ratio of the sound pressure (80 Pa) to the reference sound pressure (20 µPa) is 80 / 20 = 4. Taking the logarithm base 10 of this ratio, we find that log10(4) is approximately 0.602. Multiplying this value by 20, we get 0.602 * 20 ≈ 12.04.
Therefore, the noise produced by the diesel generator at a distance of 1 meter from the source is approximately 12.04 dB.
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I need help with thissssss
Answer:
Loading,please wait...
Step-by-step explanation:
Solve the linear system using Additional Elimination.
3x + 2y = 7
-3x + 4y = 5
Answer:
x = 1 y = 2
Step-by-step explanation:
3(1) + 2(2) = 7
3 + 4 = 7
-3(1) + 4(2) = 5
-3 + 8 = 5
please view the image and answer the questions.
This is College Algebra.
Step-by-step explanation:
x² - 9
1. There is no common factor other than 1.
2. √x² = x; √9 = 3
3. a = x; b = 3
4. x² - 9 = (x - 3)(x + 3)
What is the recursive formula for the sequence -1, -3, -9, -33 ...
The recursive formula for an, the nth term of the sequence is a(n) = a(n - 1) * 2 where a(1) = -1
How to determine the recursive formula of the sequenceFrom the question, we have the following parameters that can be used in our computation:
-1, -3, -9, -3³ ...
The above definitions imply that we simply multiply 3 to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
a(n) = a(n - 1) * 3
Where
a(1) = -1
Hence, the sequence is a(n) = a(n - 1) * 2 where a(1) = -1
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A three-centimeter cube has been painted red on all sides. it is cut into one centimeter cubes. how many cubes will be there with only one side painted red?
There will be only 6 cubes with only one side painted red.
Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.
According to the question
A 3 cm cube is divided into one centimeter cube.
Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.
Since there are 6 faces,
cubes painted one side red = 6x1=6.
Therefore , There will be only 6 cubes with only one side painted red.
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Required information [The following information applies to the questions displayed below.] Marathon Incorporated (a C corporation) reported $2,200,000 of taxable income in the current year. During the year, it distributed $220,000 as dividends to its shareholders as follows: - $11,000 to Guy, a 5 percent individual shareholder. - $33,000 to Little Rock Corporation, a 15 percent shareholder (C corporation). - $176,000 to other shareholders. (Leave no answer blank. Enter zero if applicable.) a. How much of the dividend payment did Marathon deduct in determining its taxable income? b. Assuming Guy's marginal ordinary tax rate is 37 percent, how much tax will he pay on the $11,000 dividend he received from Marathon Incorporated (including the net investment income tax)? c. What amount of tax will Little Rock Corporation pay on the $33,000 dividend it received from Marathon Incorporated (50 percent dividends-received deduction)? (Round your final answers to the nearest whole dollar amounts.)
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b) Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.
b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.
c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.
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prove the average degree in a tree is always less than 2. more specifically express this average as a function of the number of vertices in tree.
we have proven that the average degree in a tree is always less than 2.
To prove that the average degree in a tree is always less than 2, we need to first understand what a tree is. A tree is an undirected graph that is connected and acyclic, meaning it does not contain any cycles. Each node in a tree has exactly one parent, except for the root node, which has no parent. The degree of a node in a tree is the number of edges that are connected to it. For the root node, its degree is equal to the number of edges that are connected to its children.
Now, let's consider a tree with n vertices. The total number of edges in a tree is always n-1, since each node except the root node has exactly one incoming edge, and the root node has no incoming edges. Therefore, the sum of the degrees of all the nodes in a tree with n vertices is equal to 2(n-1), since each edge is counted twice, once for each of the nodes it connects.
If we let d_i denote the degree of the i-th node in the tree, then the average degree of the tree can be expressed as:
(1/n) * sum(d_i) = (1/n) * 2(n-1)
Simplifying the right-hand side, we get:
(1/n) * 2(n-1) = 2 - (2/n)
As n approaches infinity, the average degree approaches 2, but for any finite value of n, the average degree is always less than 2. Therefore, we have proven that the average degree in a tree is always less than 2.
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Solve the division problem. Round answer to the nearest hundredth.9.2/52.063
In order to divide these numbers, first let's start with a 0 in the unit place, since 9.2 is smaller than 52.063.
Then, we multiply 9.2 by 10, this way we will calculate the tenths place.
Now, dividing 92 by 52.063, we have 1 as the result.
The remainder will be 92 - 52.063 = 39.937.
Again, let's multiply the remainder by 10, so now we will calculate the hundredths of the result.
Dividing 399.37 by 52.063 we have 7.
The remainder is 399.37 - 7*52.063 = 34.929.
Multiplying by 10, we have 349.29, and now we calculate the thousandths.
Dividing 349.29 by 52.063 we have 6.
Until now, the result of the division is 0.176.
Rounding to the nearest hundredth, we have 0.18 as the result of the division.
1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
First you will get 4dz
Tell whether the system has one solution, infinitely many solutions, or no solution. (1 point) x=-71+34 x+71=32 O One solution O Infinitelv man solutions - No solution
The type of solution set in the system of equation is no solution
How to determine the type of solution set in the equation?From the question, we have the following parameters that can be used in our computation:
x=-71+34 x+71=32
This equation can be properly expressed as
x = -71y + 34
x + 71y = 32
Make x the subject in the second equation
x = -71y + 32
Substitute x = -71y + 32 in x = -71y + 34
-71y + 32 = -71y + 34
An equation that has no solution is represented as:
ay + b = ay + c
The above means that the variable term of both sides of the equations are the same, while the constant terms are different
The equation -71y + 32 = -71y + 34 conform to the statement above
Hence, the equation has no solution
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Consider the following time series data. time value 7.6 6.2 5.4 5.4 10 7.6 Calculate the trailing moving average of span 5 for time periods 5 through 10. t-5: t=6: t=7: t=8: t=9: t=10:
The trailing moving average of span 5 is 6.92.
How to calculate trailing moving average of span 5 for the given time series data?The trailing moving average of span 5 for the given time series data is as follows:
t-5: (7.6 + 6.2 + 5.4 + 5.4 + 10)/5 = 6.92
t=6: (6.2 + 5.4 + 5.4 + 10 + 7.6)/5 = 6.92
t=7: (5.4 + 5.4 + 10 + 7.6 + 6.2)/5 = 6.92
t=8: (5.4 + 10 + 7.6 + 6.2 + 5.4)/5 = 6.92
t=9: (10 + 7.6 + 6.2 + 5.4 + 5.4)/5 = 6.92
t=10: (7.6 + 6.2 + 5.4 + 5.4 + 10)/5 = 6.92
Therefore, the trailing moving average of span 5 for time periods 5 through 10 is 6.92.
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I need help with the equation.
Answer:
(x - 3)² + (y + 9)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given area = 25π , that is
πr² = 25π ( divide both sides by π )
r² = 25 ( take the square root of both sides )
r = \(\sqrt{25}\) = 5
With centre (h, k) = (3, - 9 ) and r = 5 , then
(x - 3)² + (y - (- 9) )² = 5² , that is
(x - 3)² + (y + 9)² = 25
Answer:
hiiiiiiiiiiiii
Step-by-step explanation:
2 BEC = 74°. What is 2 AED?
Answer:
AED is also 74
Step-by-step explanation:
they share the same crossing lines
Answer: 74
Step-by-step explanation:
Decreasing -5 times a number by 18 is equal to decreasing 9 times the number by 25
Answer:
-5x - 18 = 9x - 25
Step-by-step explanation:
Hope this helps!! :)
what percentage of winners driving a chevrolet won with an average speed of at least 140 miles per hour? %
The percentage of winners driving a chevrolet won with an average speed of at least 140 miles per hour is 81.25%
Percentage represent a fraction of a hundred.
To convert a fraction into percent, first, find the equivalent fraction with 100 as its denominator.
Example:
3/5 = 60/100 = 60%
We can also convert it into percent by multiplying it by 100%
3/5 = 3/5 x 100% = 60%
In the given problem, the total number of chevrolet won is 16. Three of then have average speed less than 140 miles per hour.
Therefore,
Number of chevrolet with an average speed ≥ 140 mph = 16 - 3 = 13
Its percentage = 13/16 x 100 % = 81.25%
The table in your question is missing, most likely it was like in the attached picture.
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Help me solve this pls
Answer:
perpendicular bisector of AB
Step-by-step explanation:
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
so perpendicular bisector of AB
PLS ANSWER ASAP!!!!!
Simplify 5^-4/5^3
Answer:
(d) 1/5^7
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = 1/(a^(c-b))
__
\(\dfrac{5^{-4}}{5^3}=\dfrac{1}{5^{3-(-4)}}=\boxed{\dfrac{1}{5^7}}\)
The area of a rectangle is 49d + 91
The length is an integer higher than 1, but is a known number.
Find the width of the rectangle.
Assuming that L and d are known numbers, we can write.
\(W = \frac{49d + 91}{L}\)
How to get the width of the rectangle?
Remember that for a rectangle of width W and length L, the area is given by:
A = L*W
In this case, the area is 49d + 91, and the length is a known number, so we know the value of L.
Then we can write:
A = L*W = 49d + 91
To get the value of W, we need to isolate it on one side of the equation.
We can do that by dividing both sides by L.
\(W = \frac{49d + 91}{L}\)
We assume that d and L are known, so with the above rational expression, we have W totally determined.
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A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 950 downloads of the song, for a total download size of 3284 MB. How many downloads of the standard version were there?
Number of standard version downloads: ?
Answer:
560 downloads of standard version downloads.
Step-by-step explanation:
Let there were number of standard version of downloads = x
and number of high quality version of downloads = y
There were total 950 downloads of the both type of songs.
x + y = 950 -----(1)
Size of the standard version songs = 2.8 MB
and the size of the high quality version songs = 4.4 MB
Total download size = 3284 MB
2.8x + 4.4y = 3284
7x + 11y = 8210 -----(2)
Multiply equation (1) by 11 (-) equation (2)
(11x + 11y) - (7x + 11y) = 10450 - 8210
4x = 2240
x = 560
There were 560 downloads of the standard version downloads.
Someone solve this for me I’m stuck
Answer:
x = 8
Step-by-step explanation:
Intersecting chord theorem : the products of the lengths of the line segments on each chord are equal. To get a better understanding of this kindly view the attatched image
This means 6 * 4 = 3x
==> multiply 6 and 4
24 = 3x
==> divide both sides by 3
x = 8