Answer: A
This explanation assumes the figure is a parallelogram.
Perimeter
Since opposite sides of a parallelogram are congruent, the perimeter is 20+24+20+24=88.
Area
\(A=bh=(17.32)(24) \approx \boxed{415.7}\)
the length of a basketball pitch can be divided into 12 parts which 25 centimetres on how much parts it's 20 centimetres long can be obtained from the pitch
Answer:
the number of parts is going to be
= 15 parts
Step-by-step explanation:
A basketball pitch can be divided into twelve(12) parts , each part of equal length of twenty five (25) centimeters.
The initial and total length of the basketball pitch = 12*25
The initial and total length of the basketball pitch = 12*25
The initial and total length of the basketball pitch = 300 cm
So if it's now divided into parts of each 20 cm ,
the number of parts is going to be
= 300/20
the number of parts is going to be
= 15 parts
Please help me I will scream I need help please Its a math problem
Answer:
It is the second one , I'm pretty sure
Answer:
Factored form: \(2(x+4)(x-1)\)
vertex form: \(2(x+1.5)^{2} -12.5\)
Step-by-step explanation:
Factored form:
\(2(x+4)(x-1)=2(x^{2} +4x-x-8)=2(x^{2} +3x-4)=2x^{2} +6x-8\)
Vertex form:
\(2(x+1.5)^{2} -12.5=2(x^{2} +3x+2.25)-12.5\)
\(=2x^{2} +6x+4.5-12.5=2x^{2} +6x-8\)
Hope this helps
Which graph shows the line of best fit for the data ?
The appropriate graph of the line of best fit is graph (a)
How to determine the graph of the line of best fitFrom the question, we have the following parameters that can be used in our computation:
The graphs in the list of options
By definition, a good line of best fit would have equal number of points on either sides
To plot the graph, we draw a line that divides the points on the graph evenly
This line when drawn on the scattered points divided the points approximately evenly
using the above as a guide, we have the following:
The line that follows the above rule is the graph (a) i.e. top left
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evacuate 3 1.5 + 2 2.3
Answer:
53.8
Step-by-step explanation:
31.5 + 22.3
53.8
Hope it helps
Answer:
\(53.8\)
Step-by-step explanation:
\( \: \: \: \: \: \: 31.5 \\ + 22.3 \\ = 53.8\)
hope this helps
brainliest appreciated
good luck! have a nice day!
Find two rael numbers whose is sum 12 and whose product is 36
Sry I thought I knew the answer and posted it, and do not know how to delete it so I leave u with this.
Annie scored 29 out of 35 marks in a test.
What percentage of the test did Annie get correct?
Give your answer to 1 decimal place.
Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
The prime factorization of the number 21 is:
21 = 3*7
How to write the prime factorization?We want to write the prime factorization of 21.
To do so, we just need to divide the number by prime numbers.
The first prime number we can try is 2, if we divide by 2 we get:
21/2 = 10.5
This is not an integer, so 2 is not a factor.
The next one is 3:
21/3 = 7
Now we can rewrite:
21 = 3*7
Where 3 and 7 are prime numbers, so that is the prime factorization.
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Find the 6th term in the sequence
Answer:
-256
Step-by-step explanation:
you multiply each term by (-4)
For this Data exercise you need to do the following (1) Go to the internet and gather data that has two variables that you believe are related to each other. One should be the dependent variable that you are trying to explain and the other should be the independent variable that does the explaining. You need to have at least 50 observations but more observations are better (i.e. don't truncate a longer data set to only have 50 observations). Your project should not be the same as anyone else's in the class (if you work by yourself this should not be an issue). You should also not use a data set that has been put together for you from a textbook.
According to the question Gather unique dataset (50+ observations) with dependent and independent variables, analyze using statistical software to explore relationships and perform hypothesis testing.
To complete this data exercise, you should begin by selecting a topic of interest that involves two variables with a potential relationship. It is crucial to choose a unique project that differs from others in your class. Avoid using datasets provided by textbooks and instead search for reliable sources on the internet.
Look for government databases, research publications, surveys, or publicly available datasets. Ensure your dataset contains at least 50 observations, although more would be preferable. Once you have obtained the data, assess its quality, clean any inconsistencies, and organize it for analysis.
Utilize statistical software or programming languages like Python or R to perform exploratory data analysis, investigate correlations, conduct hypothesis testing, and quantify the relationship between the dependent and independent variables.
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a point estimate is a single value given as an estimate of a population parameter. what is the point estimate for a population standard deviation?
The point estimate of the population standard deviation is the sample standard deviation, calculated from a sample of the population.
The score estimate is a single value given as an estimate of the population parameter. This is the value that best represents the population parameter based on a sample of the population. For example, the point estimate of the population mean is the sample mean, calculated from a sample of the population. Similarly, the point estimate of the population standard deviation is the sample standard deviation, calculated from a sample of the population. The sample standard deviation is calculated by taking the square root of the sum of the squares of the difference between each data point and the sample mean, divided by the sample size minus 1. It is a measure of data prevalence. The sample standard deviation can provide a good estimate of the population's standard deviation, but it's important to remember that it is an estimate and may not be completely accurate.
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El dron del Ejemplo vuela a 16 metros por unos pocos minutos antes de descender a una tasa constante. Llega al suelo después de 6 segundos a. ¿Por qué se puede representar el descenso del dron con una función li Porque b. El modelo lineal del descenso del dron da la altura como función del tiempo. ¿Es la tasa de cambio positiva o negativa? Explica. c. ¿Qué ecuación representa el descenso del dron a medida que aumenta el tiempo? Muestra tu trabajo
The drone's descent can be modeled by a linear function as the rate of descent is constant.
How to solveThe slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.
b is the intercept, representing the value of y when x = 0.
For this problem, we have that the drone descended 16 meters in 6 seconds, hence the slope m is given as follows:
m = -16/6 = 2.67 m/s.
As the slope is constant, a linear function can model the situation.
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The drone in the Example hovers at 16 meters for a few minutes before being
lowered at a constant rate. It reaches the ground after 6 seconds.
a. Why can the drone's descent be modeled by a linear function?
which of the following functions represents exponential growth? y = 1/2x^2 y=2(1/3)^x
Use the triangles Name one pair of congruent angles.
Tim can paint a room for 6 hours. Bella can paint the same room for 4 hour. How many hours would it take Tim and Bella to paint the room while working together?
Tim and Bella working together can paint the room in 2.4 hours.
We can use the formula:
1/Total Work = 1/Time1 + 1/Time2
where Total Work is the work to be done (in this case, painting the room), Time1 is the time taken by Tim to complete the work, and Time2 is the time taken by Bella to complete the work.
Let x be the time taken by Tim and Bella working together to complete the work. Then we can write:
1/1x = 1/6 + 1/4
Simplifying this equation, we get:
1/1x = 5/12
Multiplying both sides by x, we get:
x = 12/5 = 2.4 hours.
Therefore, Tim and Bella working together can paint the room in 2.4 hours.
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DEF Company's current share price is $16 and it is expected to pay a $0.55 dividend per share next year. After that, the firm's dividends are expected to grow at a rate of 3.7% per year. What is an estimate of DEF Company's cost of equity? Enter your answer as a percentage and rounded to 2 DECIMAL PLACES. Do not include a percent sign in your answer. Enter your response below. -7.1375 正确应答: 7.14±0.01 Click "Verify" to proceed to the next part of the question.
DEF Company also has preferred stock outstanding that pays a $1.8 per share fixed dividend. If this stock is currently priced at $27.6 per share, what is DEF Company's cost of preferred stock? Enter your answer as a percentage and rounded to 2 DECIMAL PLACES. Do not include a percent sign in your answer. Enter your response below.
An estimate of DEF Company's cost of equity is 7.14%.
What is the estimate of DEF Company's cost of equity?To estimate the cost of equity, we can use the dividend growth model. The formula for the cost of equity (Ke) is: Ke = (Dividend per share / Current share price) + Growth rate
Given data:
The dividend per share is $0.55, the current share price is $16, and the growth rate is 3.7%.The cost of equity iss:
Ke = ($0.55 / $16) + 0.037
Ke ≈ 0.034375 + 0.037
Ke ≈ 0.071375.
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Both the cost of equity and the cost of preferred stock play important roles in determining a company's overall cost of capital and the required return on investment for different types of investors.
To estimate DEF Company's cost of equity, we need to calculate the dividend growth rate and use the dividend discount model (DDM). The cost of preferred stock can be found by dividing the fixed dividend by the current price of the preferred stock.
The calculations will provide the cost of equity and cost of preferred stock as percentages.
To estimate DEF Company's cost of equity, we use the dividend growth model. First, we calculate the expected dividend for the next year, which is given as $0.55 per share.
Then, we calculate the dividend growth rate by taking the expected growth rate of 3.7% and converting it to a decimal (0.037). Using these values, we can apply the dividend discount model:
Cost of Equity = (Dividend / Current Share Price) + Growth Rate
Plugging in the values, we get:
Cost of Equity = ($0.55 / $16) + 0.037
Calculating this expression will give us the estimated cost of equity for DEF Company as a percentage.
To calculate the cost of preferred stock, we divide the fixed dividend per share ($1.8) by the current price per share ($27.6). Then, we multiply the result by 100 to convert it to a percentage.
Cost of Preferred Stock = (Fixed Dividend / Current Price) * 100
By performing this calculation, we can determine DEF Company's cost of preferred stock as a percentage.
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Solve the following equation, if possible, and determine if there is one solution, no solution, or infinitely many solutions.
3(x−3)=3x+4 please help. thank you
Answer:
no solution
Step-by-step explanation:
Given
3(x - 3) = 3x + 4 ← distribute parenthesis on left side
3x - 9 = 3x + 4 ( add 9 to both sides )
3x = 3x + 13 ( subtract 3x from both sides )
0 = 13 ← not possible
This indicates the equation has no solution
Calculate the standard score (z-score) of the given sample mean.
Round your answer to two decimal places.
μ=48 and σ=12 n=47; x¯=51
Based on the given data the standard score (z-score) of the given sample mean is approximately 0.55.
The standard score (z-score) is a measure of how many standard deviations a given sample mean is away from the population mean. It is calculated using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
In this case, the population mean (μ) is given as 48, the population standard deviation (σ) is given as 12, the sample size (n) is 47, and the sample mean (x(bar)) is 51. Plugging these values into the formula, we get: z = (51 - 48) / (12 / √47) ≈ 0.55.
Therefore, the standard score (z-score) of the given sample mean is approximately 0.55.
The z-score provides a standardized measure of how far a given sample mean deviates from the population mean, in terms of standard deviations. In this case, a z-score of 0.55 indicates that the sample mean of 51 is approximately 0.55 standard deviations above the population mean of 48.
By calculating the z-score, we can compare the sample mean to the population mean in a standardized way, regardless of the specific values of the population mean and standard deviation. It allows us to determine the relative position of the sample mean within the distribution of the population. Positive z-scores indicate that the sample mean is above the population mean, while negative z-scores indicate that the sample mean is below the population mean.
The z-score can also be used to determine the proportion of data points that fall below or above a given sample mean. By referring to a standard normal distribution table or using statistical software, we can find the corresponding proportion or percentile associated with a specific z-score.
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3 different friends are splitting 9 different donuts among themselves equally so each person gets 3 donuts. how many ways are there to do this?
Using the concept of permutation and combinations, the friends can split donuts in 1680 ways
It is given that 3 different friends are splitting 9 different donuts among themselves equally so each person gets 3 donuts and we need to determine in how many ways it can be done.
We will use here the concept of permutation and combinations.
Number of ways to choose donuts for the first person = ⁹C₃
Number of ways to choose donuts for the second person = ⁶C₃
Number of ways to choose donuts for the third person = ³C₃
Total number of different ways to split donuts = ⁹C₃ × ⁶C₃ × ³C₃
= 84 × 20 × 1
= 1680 ways
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Suppose you a play a game with a biased coin where the probability of heads is 0.9. You play each game by tossing the coin once. If you toss a head, you pay 2 dollars. If you toss a tail, you get 3 dollars. Let X = amount of money that you win. Complete the following probability distribution of X:X __________ 3P(x) 0.9 _________
Let X be the amount of money that you win, and you play the game by tossing a biased coin. In this case, the probability of getting heads is 0.9, and the probability of getting tails is 0.1.
Suppose you win 2 dollars when you get a head and 3 dollars when you get a tail.
Now, we can calculate the probability distribution of X as follows:
X P(X) Money Won
Head 0.9 $2Tail 0.1 $3
The above table shows the probability distribution of X, where P(X) is the probability of getting X amount of money. Therefore, this is the probability distribution of X:
X P(X) Money Won
Head 0.9 $2Tail 0.1 $3
Hence, we have completed the probability distribution of X.
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Please help me!!! I will mark as BRAINLIEST!!!
Answer:
Step-by-step explanation:
The answer is for the 20th figure is not 400.
Because if we see the pictures
1=4, 2=9, 3=16, so the 20th figure would be 450 small square.
Use the quadratic formula to find the exact solutions of x2 − 9x + 5 = 0.
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answer:
\(\frac{9\pm\sqrt{61}}{2}\)
Step-by-step explanation:
\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(5)}}{2(1)}=\frac{9\pm\sqrt{81-20}}{2}\\\\=\frac{9\pm\sqrt{61}}{2}\)
Partial Derivative Applications, Vectors and Matrices
If z = F(u, v, w) where u = r 2 , v = −2s 2 , and w = lnr + lns,
find ∂z/∂r and ∂z/∂s.
The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.
To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.
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what is the answer of y=140(0.92)^x
Answer:
y=128.8^x
Step-by-step explanation:
zach wants to order a banner that will hang over the side of his baseball stadium grandstand and reach the ground. he needs to find the height for the banner so he uses a cardboard square to line up the top and bottom of the grandstand. he measures the distance from the grandstand and from the ground to his eye level. find x.
The formula for the height of the banner in terms of the side length of the cardboard square, the height of the grandstand, and the distances from the person's eye level to the grandstand and the ground.
Mathematically, we can write this as:
(height of banner) / (distance from eye level to top of grandstand) = (side length of cardboard square) / (distance from eye level to bottom of square)
So, the distance from the eye level to the top of the grandstand is "s + h". We also know the distance from the person's eye level to the bottom of the square, which is "d₂ - d₁".
Putting all of this together, we can write:
(height of banner) / (s + h) = s / (d₂ - d₁)
To solve for the height of the banner, we can cross-multiply and simplify:
(height of banner) = (s² / (d₂ - d₁)) * (1 + h/s)
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Complete Question:
Zach wants to order a banner that will hang over the side of his baseball stadium grandstand and reach the ground. And then he needs to find the height for the banner so he uses a cardboard square to line up the top and bottom of the grandstand. Then he measures the distance from the grandstand and from the ground to his eye level.
Find height of the banner.
please help i don’t understand
Answer:
well i dont either
Step-by-step explanation: i'm
weird
what is the answer to
-4 + 7 = ___
Answer: 3
Step-by-step explanation:
prove ∇² V = Vrr+2/r Vr+1/r^2 VQQ+cotθ/r^2VQ+VQQ/r^2sinQ is spherical coordinate
∇²V = Vrr+2/r Vr+1/r^2 VQQ+cotθ/r^2VQ+VQQ /\(r^{2}\)sinQ is a valid representation of the Laplacian in spherical coordinates, combining the appropriate partial derivatives and accounting for the geometric factors inherent in this coordinate system.
1. The Laplacian operator in spherical coordinates (∇²) can be expressed as a combination of partial derivatives with respect to the radial distance (r) and angular coordinates (θ, φ). The given expression ∇²V = Vrr+2/r Vr+1/r^2 VQQ+cotθ/r^2VQ+VQQ/r^2sinQ is indeed a representation of the Laplacian in spherical coordinates. It consists of terms involving second derivatives with respect to the radial coordinate (Vrr) and angular coordinates (VQQ), as well as terms involving first derivatives with respect to the radial coordinate (Vr) and angular coordinates (VQ). The factors of 1/r^2 and cotθ/r^2 account for the geometric factors inherent in spherical coordinates.
2. In spherical coordinates, the Laplacian operator (∇²) is defined as the sum of second partial derivatives with respect to each coordinate. The coordinates involved are the radial distance (r), the polar angle (θ), and the azimuthal angle (φ). The Laplacian can be expressed as:
∇²V = (1/r²) ∂(r²∂V/∂r) + (1/(r²sinθ)) ∂(sinθ∂V/∂θ) + (1/(r²sin²θ)) ∂²V/∂φ²
Comparing this with the given expression: ∇²V = Vrr+2/r Vr+1/r^2 VQQ+cotθ/r^2VQ+VQQ/r^2sinQ
3 We can see that the terms Vrr, Vr, VQQ, VQ, and VQQ are present, which correspond to the second partial derivatives with respect to the radial coordinate (r) and the angular coordinates (θ, φ). The factors of 1/r^2 and cotθ/r^2 are included to account for the geometric factors in spherical coordinates. The term 1/r^2 arises due to the expansion of the Laplacian in terms of spherical harmonics, and the cotθ term appears when differentiating with respect to the polar angle (θ). The presence of sinθ in the denominator also arises from the spherical coordinates' geometry.
4. Therefore, the given expression ∇²V = Vrr+2/r Vr+1/r^2 VQQ+cotθ/r^2VQ+VQQ/r^2sinQ is a valid representation of the Laplacian in spherical coordinates, combining the appropriate partial derivatives and accounting for the geometric factors inherent in this coordinate system.
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HELP I AM TIMED. Determine whether the equation is an identity or not an identity.
Answer:
It is not an identityStep-by-step explanation:
There are 10 common trig identities which I am aware of.
Some are in the image attached
The first image is known as b
Basic Identities
The second are known as Trigonometric / Pythagorean Identities .
The third : Co-function identities
and many more.
I'm only allowed to post five images so that's all I have.
Find the value of x
Answer:
45 degrees
Step-by-step explanation:
a right angle is 90 degrees and there is a line splitting it in half equaly. We have to also divide 90 by 2 then which is 45 so 45 degrees.
Answer:
x = 45
Step-by-step explanation:
To find x we know that this is a 90 degrees angle so with that info we write an equation as follows:
\(\frac{2x}{2}=\frac{90}{2}\)
90 divided by 2 is 45 and 45 + 45 is 90
Create a system of equations that can be used to determine the rental cost of each truck for the 1-day move. Be sure to specify what the variables represent.
The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.
Linear equationLinear equation is in the form:
y = mx + b
where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the total cost of rental for each truck in x hours.
From the table, for company A:
y = 0.59x + 29.95For company B:
y = 0.79x + 19.95The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.
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