the average pressure and shear stress acting on the surface of the 1-m-square flat plate are as indicated in fig. p9.4. determine the lift and drag generated. determine the lift and drag if the shear stress is neglected. compare these two sets of results.

Answer:

subtraction is the right answer

Answer:

hi seif

i think its subtraction

Answer:

the answer of this question is C

The decimal fraction that represents the given fraction is: 0.36.

To convert the figure from the given form to the decimal fraction, you can choose to use the long division format or simply divide it with the common factors. Between, 9 and 25, there is no common factor, so the best method to use here will be long division. Thus, we can proceed as follows:

1. 25 divided by 9

This cannot go so, we put a zero and a decimal point as follows: 0.

Then we add 0 to 90

2. Now, 25 divided by 90 gives 3 remainders 15. We add 3 to the decimal: 0.3

3. 90 minus 75 is 15. we add a 0 to this and divide 150 by 25 to get 6. This is added to the decimal to give a final result of 0.36.

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Here's my working for 1) You need to find the exterior angle, then divide by 360 to find the number of sides:

Applying these steps :

180 (Interior Angles) - 162 = 18 (Exterior angle)

360 ÷ 18 is 20 sides

For 2)

Its the same method, so apply the steps:

180 - 175 = 5

360 ÷ 5 = 72 sides

Hope it helps! :)

Answer:

(6,1)

Step-by-step explanation:

Moving down is associated with y coordinate.

a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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Answer:

She would receive $10.05 cents back

Step-by-step explanation:

Add 6.75, 1.45, and 1.75. You would get 9.95. Then, you would subtract $20.00 by $9.95, getting 10.05 as change.

Hope this helps!

The growth rate of the given function y=3x+125 will be 3 so option (B) will be correct.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.

The rate of a function is defined as the differentiation of the dependent variable with respect to the independent variable.

Given the function,

y=3x+125

Rate of function; change of variable y with respect to x( first derivative of function).

Y' = 3

Hence the rate of function will be 3.

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Answer:

42.41 cm^3

Step-by-step explanation:

A line graph is best suited for showing changes in statistics over time or space.

Line graphs are commonly used to visualize trends, patterns, and fluctuations in data over a continuous or discrete period. The x-axis represents time or space, while the y-axis represents the corresponding statistic being measured. The line graph connects the data points, allowing for a clear representation of how the statistic changes over the given time or space interval.

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Answer:

Step-by-step explanation:

Well first we know that there are 25 squares. If we use some quick arithmetic, we can find how much each square represents out of 100%:

100/25 = 4

100% divided by 25 squares represents 4% for each square in the diagram. If we want to cover 48%, we can use some algebra:

4s = 48

s = 12

We need to shade in 12 squares to cover 48% of the diagram.

Hopefully this explanation was thorough enough!

Answer:

4x – 3 + 2x = 33

6x = 36

x = 6

D. x = 6

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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Answer:

5) 7

6) 14

7) 31

Step-by-step explanation:

5) 5a-4=2a+17

3a=21

a=7

6) 2(7)=14

7) 2(7)+17=31

4. C

5. 2a + 17 = 5a - 4

- 3a = - 21

a = 7

6. XY = 2(7) = 14

7. XZ = 5(7) - 4

= 31

The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

a) W(y1, y2) = 2xe^(-4x) b) Yes, {y1, y2} is a fundamental set for the given differential equation.

a) To find the Wronskian of y1 and y2, we need to compute the determinant of the matrix formed by the derivatives of y1 and y2.

Let's start by finding the first derivative of y1 and y2:

y1' = d/dx(e^(-2x)) = -2e^(-2x)

y2' = d/dx(xe^(-2x)) = e^(-2x) - 2xe^(-2x)

Now, let's form the matrix and calculate its determinant:

W(y1, y2) = |y1' y2'|

|-2e^(-2x) e^(-2x) - 2xe^(-2x)|

Expanding the determinant, we have:

W(y1, y2) = (-2e^(-2x))(e^(-2x) - 2xe^(-2x)) - (-2e^(-2x))(e^(-2x) - 2xe^(-2x))

= -2e^(-4x) + 4xe^(-4x) + 2e^(-4x) - 4xe^(-4x)

= 2xe^(-4x)

Therefore, the Wronskian of y1 and y2 on (-∞, ∞) is W(y1, y2) = 2xe^(-4x).

b) To determine if {y1, y2} is a fundamental set for the given differential equation, we need to check if their Wronskian is nonzero for all values of x.

In this case, the differential equationW(y1, y2) = 2xe^(-4x) is not zero for any value of x in the interval (-∞, ∞). Therefore, {y1, y2} is indeed a fundamental set for the given differential equation.

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The probability for any Normal random variable to take a value within 1.5 interquartile ranges from population quartiles is approximately 0.9090.

To compute the probability for any Normal random variable to take a value within 1.5 interquartile ranges from population quartiles, we first need to find the quartiles and interquartile range (IQR) of the given data.

Using Table A4, we can find the quartiles as follows:

- Q1 = 15.8 (25th percentile)
- Q2 = 17.9 (50th percentile, i.e. median)
- Q3 = 19.8 (75th percentile)

The IQR is the difference between Q3 and Q1, so:

- IQR = Q3 - Q1 = 4.0

Now, 1.5 times the IQR is:

- 1.5 x IQR = 1.5 x 4.0 = 6.0

Therefore, we need to find the probability of a Normal random variable taking a value within 6.0 units of the quartiles (Q1 and Q3). Using Table A4, we can look up the probabilities for z-scores of -2.0 and 2.0, since these correspond to values that are 6.0 units away from the quartiles (since 6.0 is 1.5 times the IQR).

From Table A4, we find that the probability of a Normal random variable taking a value within 2.0 standard deviations of the mean is approximately 0.9545. Therefore, the probability of a Normal random variable taking a value within 6.0 units of the quartiles is:

- 2 x 0.9545 - 1 = 0.9090 (since we want the probability for both tails, minus the overlap between them)

So, the probability for any Normal random variable to take a value within 1.5 interquartile ranges from population quartiles is approximately 0.9090.

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If angles a and b are supplemented, they add up to 180 degrees. If angles a and c are supplements, they add up to 180 degrees.

Since angle a is a common angle in both of these equations, you can conclude that angles b and c must also be supplemented and add up to 180 degrees. Supplemented means that two angles add up to 180 degrees. In other words, they are supplementary angles.

Supplementary angles are two angles that add up to 180 degrees. They are considered "complementary" to each other as they "complete" a straight line, which measures 180 degrees. A straight line is a geometric object with no curvature, consisting of an infinite set of points that extends infinitely in both directions. It is the shortest distance between two points and has the property of being perfectly straight. In geometry, straight lines are a basic building block to define and measure other shapes and figures.

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Answer:

-0.8x+4.8y+16

Step-by-step explanation:

\(4(0.5x+2.5y-0.7x-1.3y+4)\\4(-0.2x+1.2y+4)\\4(-0.2x)+4(1.2y)+4(4)\\-0.8x+4.8y+16\)

Work Shown:

x = central angle = 255 degrees

r = radius = 4

A = area of sector

A = (x/360)*pi*r^2 ... see note below

A = (255/360)*pi*4^2

A = 34pi/3

note: the formula only works if the central angle x is in degrees. If x is in radians, then use the formula A = (x/2)*r^2

\(2\cot(\frac{\pi}{2} - x)\cos x\) simplifies to \(2\sin(x)\). \(\frac{\sin^3(x)}{\sin^3(x) - \sin(x)}\) simplifies to \(\frac{\sin^3(x)}{\sin^3(x) - \sin(x) + 1}\) or equivalently, \(\tan^2(x)\).

To simplify the trigonometric expressions and demonstrate their equivalence, we'll apply the fundamental trigonometric identities as needed.

(a) We start with the expression:

\[2\cot\left(\frac{\pi}{2} - x\right)\cos x\]

We can use the following fundamental trigonometric identities:

- Cotangent identity: \(\cot(\theta) = \frac{1}{\tan(\theta)}\)

- Cosine of a difference identity: \(\cos(\frac{\pi}{2} - x) = \sin(x)\)

Applying these identities, we can simplify the expression:

\[2\cot\left(\frac{\pi}{2} - x\right)\cos x = 2\left(\frac{1}{\tan(\frac{\pi}{2} - x)}\right)\cos x\]

Using the cosine of a difference identity, we can substitute \(\cos(\frac{\pi}{2} - x)\) with \(\sin(x)\):

\[2\left(\frac{1}{\tan(\frac{\pi}{2} - x)}\right)\cos x = 2\left(\frac{1}{\frac{\sin(\frac{\pi}{2} - x)}{\cos(\frac{\pi}{2} - x)}}\right)\cos x\]

Simplifying further, we get:

\[2\left(\frac{1}{\frac{\sin(x)}{\cos(x)}}\right)\cos x = 2\left(\frac{\cos(x)}{\sin(x)}\right)\cos x = 2\cos^2(x)\left(\frac{1}{\sin(x)}\right) = 2\sin(x)\]

Thus, we have shown that \(2\cot(\frac{\pi}{2} - x)\cos x\) simplifies to \(2\sin(x)\).

(b) Let's examine the expression:

\(\frac{\sin^3(x)}{\sin^3(x) - \sin(x)}\)

To simplify this expression, we'll use the following trigonometric identity:

- Factorization identity: \(\sin^2(x) - 1 = -\cos^2(x)\)

Applying the factorization identity, we can rewrite the expression:

\(\frac{\sin^3(x)}{\sin^3(x) - \sin(x)} = \frac{\sin^3(x)}{\sin^3(x) - \sin(x)} \cdot \frac{\sin^2(x) + 1}{\sin^2(x) + 1}\)

Expanding the numerator:

\(\frac{\sin^3(x)}{\sin^3(x) - \sin(x)} \cdot \frac{\sin^2(x) + 1}{\sin^2(x) + 1} = \frac{\sin^5(x) + \sin^3(x)}{\sin^3(x) - \sin(x) + \sin^2(x) + 1}\)

Using the factorization identity, we can simplify the denominator:

\(\frac{\sin^5(x) + \sin^3(x)}{\sin^3(x) - \sin(x) + \sin^2(x) + 1} = \frac{\sin^3(x)(\sin^2(x) + 1)}{\sin^3(x) - \sin(x) - \cos^2(x)}\)

Substituting \(-\cos^2(x)\) for \(\sin^2(x) - 1\):

\(\frac{\sin^3(x)(\sin^2(x) + 1)}{\sin^3(x) -

\sin(x) - \cos^2(x)} = \frac{\sin^3(x)(\sin^2(x) + 1)}{\sin^3(x) - \sin(x) + \cos^2(x)}\)

Using the Pythagorean identity, \(\sin^2(x) + \cos^2(x) = 1\), we have:

\(\frac{\sin^3(x)(\sin^2(x) + 1)}{\sin^3(x) - \sin(x) + \cos^2(x)} = \frac{\sin^3(x)(1)}{\sin^3(x) - \sin(x) + 1} = \frac{\sin^3(x)}{\sin^3(x) - \sin(x) + 1}\)

Hence, we have demonstrated that \(\frac{\sin^3(x)}{\sin^3(x) - \sin(x)}\) simplifies to \(\frac{\sin^3(x)}{\sin^3(x) - \sin(x) + 1}\) or equivalently, \(\tan^2(x)\).

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\((\cos(\frac{\pi}{2} - x)\) with \(\sin(x)\):\[2\left(\frac{1}{\tan(\frac{\pi}{2} - x)}\right)\cos x = 2\left(\frac{1}{\frac{\sin(\frac{\pi}{2} - x)}{\cos(\frac{\pi}{2} - x)}}\right)\cos x\]\)

The minimum dividend that the REIT must pay per share to maintain its tax-exempt status is $3.15 per share.

To determine the minimum dividend per share, we need to consider the requirements for a Real Estate Investment Trust (REIT) to maintain its tax-exempt status. According to the tax laws governing REITs, they are required to distribute at least 90% of their taxable income to shareholders in the form of dividends.

In this case, the net income of the REIT is $300,000. To calculate the taxable income, we need to add back the deduction for depreciation and amortization, as these are non-cash expenses. Therefore, the taxable income is $3,500,000 ($300,000 + $4,600,000).

To maintain the tax-exempt status, the REIT must distribute at least 90% of the taxable income to shareholders. Thus, the minimum dividend per share can be calculated as follows:

Minimum Dividend per Share = (Taxable Income / Number of Shares) * 90%

= ($3,500,000 / 1,000,000) * 90%

= $3.15 per share

In order for the REIT to maintain its tax-exempt status, it must pay a minimum dividend of $3.15 per share. By distributing at least 90% of the taxable income to shareholders, the REIT fulfills the requirements set by tax laws governing REITs.

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Answer:

I believe it is D

Step-by-step explanation:

Hope this helps!

1. Indian

2.South

3.Africa

4.stormyy

Answer:

10/16

Step-by-step explanation:

Theres only 16 possible marbles you could get out of the bag and ten marbles that you want. 10/16

Answer: 4.5 jelly beans

Step-by-step explanation: 3.00$ x 5 = 15.00$ x (2$) = 23.00$

Answer:

1. \(p \leq 10\) where \(p\) represents the total number of people.

2. \(p \geq 8\) where \(p\) represents the total number of people.

3. \(c \leq 60\) where \(c\) represents the cost of a pair of jeans.

4. \(p > 20\) where \(p\) represents the total number of people.

Step-by-step explanation:

Question 1 explanation: Since no more than 10 people are allowed in the elevator, that means 10 and under are allowed, so the inequality would be \(p \leq 10\).

Question 2 explanation: Since the tour bus needs at least 8 people to sign up to run, that means 8 and more people will allow the tour bus to run, so the inequality would be \(p \geq 8\)

Question 3 explanation: Since the most you will pay for a pair of jeans is $60, that means jeans costing $60 and under are fine, so the inequality would be \(c \leq 60\).

Question 4 explanation: Since over 20 people showed up to the party, that means there were more than 20 people at the party, so the inequality would be \(p > 20\).

Answer:

The first option

Step-by-step explanation:

You do 1.68/3 and get .56

meaning that each can in the 3 pack is .56 cents

Next do 2.45/5 to get .49

meaning that each can in the 5 pack is .49 cents

which means that the 5 cans is a better buy