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What is the volume (V) of the cylinder shown below? Use 3.14 for .
V = arh
14 mm
10 mm
V
cubic millimeters

A NACA 4412 airfoil with a chord of 1.75 meters is placed in a subsonic wind tunnel for testing.

A NACA 23012 airfoil with a chord of 5 feet is placed in a subsonic wind tunnel for testing. The wind tunnel operates at standard sea-level conditions at Mach 0.25. The airfoil is placed at an angle of attack of 6°.

Given,

Re = 6 × 106

Since the airfoil is symmetrical, it will have a zero lift angle of attack of 0°.

a) The zero lift angle of attack is 0°.

From the graph, α ≈ 9°

Lift coefficient, Cl = 0.5

Drag coefficient, C

d = 0.02

b) Lift (lb/ft) (per unit span)

Lift coefficient, Cl = 0.5 Lift,

L = 0.5 × 0.002378 × 525 × 52 × 5Lift,

L = 30.95 lb/ft

c) Drag (lb/ft) (per unit span)

Drag coefficient,

Cd = 0.02

Drag, D = 0.02 × 0.002378 × 525 × 52 × 5

Drag, D = 2.02 lb/ft

d) Moment about the quarter chord (ft-lb/ft) (per unit span)

Moment coefficient, Cm = -0.0458

From the graph, α ≈ 9°

Cm = -0.0458

Moment,

M = -0.0458 × 0.002378 × 525 × 52 × (5 / 4)

Moment, M = -5.95 ft-lb/ft

A NACA 4412 airfoil with a chord of 1.75 meters is placed in a subsonic wind tunnel for testing.

The lift, drag, and moment coefficients were determined for two airfoils at different attack and flow conditions angles. The zero lift and angle of attack required to produce a given lift were also calculated.

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The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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Answer:

80 degrees because if you look at 1 its 62 plus 18

Number of students need to be sampled = 610

A study to determine the true average number of alcoholic drinks consumed by Greek students is conducted.

Standard Deviation, σ = 6.3

Margin Error of population mean, E = 0.5

Probability = 95% = 0.95

The p-value corresponding to 0.95 probability = (1+0.95)/2 = 0.975

The z-score corresponding to this p-value = 1.96 [from the z-tables]

Now, The margin error, E = zσ/√n, where n is the sample size

⇒ n = (zσ/E)²

⇒ n = (1.96 x 6.3/0.5)²

⇒ n ≈ 610

Hence 610 students need to be sampled.

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Answer:

\(y = {x}^{2} - 2\)

Step-by-step explanation:

Find a Rule means write a function for the graph. The graph is shaped like a U so the graph will be a quadratic, so the graph must have a term

\( {x}^{2} \)

in it. We are given the vertex of the function. We can use vertex formula

\(y = (x - h) {}^{2} + k\)

where h is the x value of the vertex and k is the y value of the vertex.

\(y = (x - 0) {}^{2} - 2\)

\( y = {x}^{2} - 2\)

So the rule is

\( {x}^{2} - 2\)

Therefore, the measures of the angles of the triangle are approximately 29.4°, 62.8°, and 87.8°.

We can use the distance formula to find the lengths of the sides of the triangle, and then use the Law of Cosines to find the angles.

The length of side AB is:

AB = sqrt((1 - (-1))^2 + (2 - 0)^2) = sqrt(20)

The length of side BC is:

BC = sqrt((2 - 1)^2 + (-3 - 2)^2) = sqrt(10)

The length of side AC is:

AC = sqrt((2 - (-1))^2 + (-3 - 0)^2) = sqrt(14)

Using the Law of Cosines, we can find the angle at vertex A:

cos(A) = (BC^2 + AC^2 - AB^2) / (2BC * AC)

cos(A) = (10 + 14 - 20) / (2 * sqrt(10) * sqrt(14))

cos(A) = 1 / (2 * sqrt(10/7))

A = cos^(-1)(1 / (2 * sqrt(10/7))) ≈ 29.4°

Similarly, we can find the angles at vertices B and C:

cos(B) = (AC^2 + AB^2 - BC^2) / (2AC * AB)

cos(B) = (14 + 20 - 10) / (2 * sqrt(14) * sqrt(20))

cos(B) = 1 / (2 * sqrt(7/10))

B = cos^(-1)(1 / (2 * sqrt(7/10))) ≈ 62.8°

cos(C) = (AB^2 + BC^2 - AC^2) / (2AB * BC)

cos(C) = (20 + 10 - 14) / (2 * sqrt(10) * sqrt(14))

cos(C) = 3 / (2 * sqrt(10/7))

C = cos^(-1)(3 / (2 * sqrt(10/7))) ≈ 87.8°

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The basketball player made 15 errors in  100 games as of the given condition.

Given that,
A baseball player made 9 errors in 60 games, how many errors would we expect the player to make in 100 games is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Let the error be x, for 100 games,
Now, according to ot the question,
9/60= x / 100
x = 15

Thus, the basketball player made 15 errors in  100 games.

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Answer:

-x>5

Step-by-step explanation:

The error that Travon makes is
(C) Tavon forgot to take the square root to find the final answer. The correct answer is about 6.99

What is a root in mathematics?
In mathematics, a number's "root" is a number that, when multiplied by itself, equals the original number; alternatively, a number's "root" can also be an equation's solution, which is typically presented as a number or an algebraic formula.

For instance, since 7*7=49, the square root of 49 is 7. In this instance, 7 is referred to as the square root of 49 since it must be multiplied twice to produce the number. 3 because 3*3*3=27 is the cube root of 27. Since 27 is obtained by multiplying 3 by three, we refer to this as a cube root, so 3 is the cube root of 27.

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Answer:

0

Step-by-step explanation:

there is no x so it is 0

0 it is

The calculation can be concluded that the moisture content of the soil is 31%.

Moisture content of the soil is calculated using the formula:

MC = (Wet weight - Dry weight) / Dry weight

Therefore, the first step to calculating moisture content is to determine the wet weight of the soil.

Wet weight of soil and container = 151 g

Weight of empty container = 20 g

Weight of wet soil = 151 g - 20 g = 131 g

Next, the dry weight of the soil needs to be determined.

Dry weight of soil and container = 120 g

Weight of empty container = 20 g

Weight of dry soil = 120 g - 20 g = 100 g

Now that both the wet weight and dry weight have been determined, the moisture content can be calculated:

MC = (Wet weight - Dry weight) / Dry weight

MC = (131 g - 100 g) / 100 g

MC = 31 g / 100 g

The moisture content of the soil is 0.31 or 31%.

This can be written as 31/100 or as a percentage.

The final answer should be rounded off to the nearest hundredth place or two decimal places.

Therefore, the answer is:

Moisture content of the soil = 31 % or 0.31

Therefore, the calculation can be concluded that the moisture content of the soil is 31%.

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Step-by-step explanation:

-9.382649173.62 if you do the math

Answer:

I'm not sure what answer your looking for exactly

Step-by-step explanation:

3(-3x+9x+30x) -3x³ -18²(-24x) combine like terms

3+12x-3x³-18x² subsitute x

-4: 3+(-4)-( -1728)-( -5184)=6867

-2: 3+(-24)-(216)-1296)=-1533

0: 3

The coordinates of the vertices of the image triangle are J'(-4, 0), K'(-2, 2), and L'(-1, 0).

To find the coordinates of the vertices of the image after dilation by a scale factor of 0.5 centered at the origin, we multiply each coordinate by the scale factor.

Let's apply the dilation to each vertex:

J' = (-8 * 0.5, 0 * 0.5) = (-4, 0)

K' = (-4 * 0.5, 4 * 0.5) = (-2, 2)

L' = (-2 * 0.5, 0 * 0.5) = (-1, 0)

Therefore, the coordinates of the vertices of the image triangle are J'(-4, 0), K'(-2, 2), and L'(-1, 0).

To graph the preimage and image, you can plot the points J(-8, 0), K(-4, 4), and L(-2, 0) on one sheet of paper to represent the preimage triangle. Then, on a separate sheet of paper, plot the points J'(-4, 0), K'(-2, 2), and L'(-1, 0) to represent the image triangle. Make sure to label each vertex accordingly.

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The margin of error for the proportion of all U.S. adults who think things are on the wrong track for 90% confidence is approximately 2.2%.

To calculate the margin of error, we first need to find the standard error, which can be calculated using the formula:
Standard Error = Square Root [ (p * q) / n ]
where p is the proportion of the sample who said things are on the wrong track (0.747), q is the complement of p (1 - p, which is 0.253), and n is the sample size (1997).
Plugging in the values, we get:
Standard Error = Square Root [ (0.747 * 0.253) / 1997 ] = 0.014
To find the margin of error at 90% confidence, we need to multiply the standard error by the z-score corresponding to 90% confidence, which is 1.645.
Margin of Error = 1.645 * 0.014 = 0.022 or approximately 2.2%

Hence, we can say with 90% confidence that the true proportion of all U.S. adults who think things are on the wrong track is between 72.5% and 77.0% (74.7% ± 2.2%).

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The value of expression depends on α and β. It involves trigonometric functions cosine and sine. By evaluating the expression for different values we can determine value based on trigonometric identities.

The expression cos(αβ)sinβ involves the trigonometric functions cosine and sine. Both of these functions are defined for all real values of α and β. However, the resulting value of the expression depends on the specific values of α and β.

To evaluate the expression, we can use trigonometric identities and the properties of cosine and sine functions. For example, the product-to-sum identity states that cos(A)sin(B) = (1/2)(sin(A + B) + sin(A - B)). By applying this identity to the given expression, we can rewrite it as (1/2)(sin(αβ + β) + sin(αβ - β)).

The resulting value of cos(αβ)sinβ will vary based on the specific values of α and β. To determine the value, substitute the specific values of α and β into the expression and evaluate it using the trigonometric functions.

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Answer:

11/28

Step-by-step explanation:

\(\log \left(\frac{2x+1}{3x-1} \right)=1 \\ \\ \frac{2x+1}{3x-1}=10 \\ \\ 2x+1=30x-10 \\ \\ 11=28x \\ \\ x=11/28\)

On checking this solution in the original equation, we see it works.

The 12 months past and the fruit turned into sonic the hedge hog #PERIODAHHPERIODUHH

In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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When coding a SELECT statement in SQL, it is crucial to follow a specific order for the four main clauses to ensure accurate and efficient retrieval of data. The correct order to code the clauses is c. SELECT, FROM, WHERE, ORDER BY.

Firstly, the SELECT clause specifies the columns that you want to retrieve data from. This clause is always coded at the beginning of the statement. Next, the FROM clause identifies the table or tables from which you want to retrieve data. It is important to note that the tables in the FROM clause must be listed before the WHERE clause.
The WHERE clause is used to filter the data based on certain criteria or conditions. This clause is typically coded after the FROM clause. Lastly, the ORDER BY clause sorts the retrieved data in ascending or descending order based on a specified column. This clause is always coded at the end of the statement.
Therefore, the correct order for coding the four main clauses in a SELECT statement is SELECT, FROM, WHERE, and ORDER BY. By following this order, you can ensure that your query runs smoothly and returns the correct results.

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The height of the dock is approximately 15.9 feet to the nearest tenth of a fo

To find the height of the dock, we can use trigonometric functions. In this case, we have a right triangle formed by the rope, the water level, and the height of the dock. The angle between the rope and the water level is given as 32°.

We can use the sine function, which relates the opposite side of a right triangle to the hypotenuse:

sin(angle) = opposite / hypotenuse

In this case, the opposite side is the height of the dock, and the hypotenuse is the length of the rope. Let's denote the height of the dock as h and the length of the rope as L. From the given information, we have L = 30 feet and the angle = 32°.

sin(32°) = h / 30

To find the height of the dock (h), we can rearrange the equation:

h = 30 * sin(32°)

Calculating this value, we get:

h ≈ 30 * 0.5299 ≈ 15.897 feet

Therefore, the height of the dock is approximately 15.9 feet to the nearest tenth of a fo

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The expression "32 D 4 B 7 C 2 A 6" evaluates to 24 using the given replacements.

To evaluate the expression "32 D 4 B 7 C 2 A 6" using the given replacements:

A means ‘–’ (subtraction),

B means ‘+’ (addition),

C means ‘×’ (multiplication),

D means ‘÷’ (division),

we follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). However, there are no parentheses or exponents in the given expression, so we move directly to multiplication, division, addition, and subtraction.

32 D 4 B 7 C 2 A 6

First, we perform the division operation (D):

32 ÷ 4 B 7 C 2 A 6

This simplifies to:

8 B 7 C 2 A 6

Next, we perform the addition operation (B):

8 + 7 C 2 A 6

This simplifies to:

15 C 2 A 6

Then, we perform the multiplication operation (C):

15 × 2 A 6

This simplifies to:

30 A 6

Finally, we perform the subtraction operation (A):

30 - 6

The result is:

24

Therefore, the expression "32 D 4 B 7 C 2 A 6" evaluates to 24 using the given replacements.

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The car use 6.67 liters of petrol to travel 160 miles of distance.

Given, the car use the same amount of petrol for each mile it travels.

A car use 55 liters of petrol to travel 495 miles.

we have to find the petrol used to travel 160 miles.

As, 55 liters = 495 miles

495 miles = 55 liters

1 mile = 55/495 liters

Now, 160 miles = 55/495×160 liters

160 miles = 6.67 liters

So, the car use 6.67 liters of petrol to travel 160 miles of distance.

Hence, the car use 6.67 liters of petrol to travel 160 miles of distance.

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The percent of increase in Zach's finishing time is 5%.

From the information, at a race a few months ago, he finished in 280 minutes and yesterday, he completed another triathlon and finished in 294 minutes.

The increase in time will be:

= New time - Old time

= 294 - 280

= 14 minutes

The percentage increase will be:

= Increase in time / Original time × 100

= 14 / 280 × 100

= 1/20 × 100

= 5%

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423

To solve the above equation follow the BODMAS rule

That is,

Brackets of Division Multiplication Addition Subtraction

BODMAS rule states that mathematical expressions with multiple operations need to be solved from left to right in the order of BODMAS.

so,

first, calculate the value in the brackets

(144-4)*(12/4)+3 = (140)*(12/4)+3

=140*(3)+3

According to the rule, a division operation is to be performed but there is no division operation in the equation we skip this step and proceed to the next operation

so, multiply 140*3

=420+3

the next operation is the addition

=423

the next operation according to the rule is subtraction which is not required to be performed in the equation.

therefore,

(144-4)*(12/4)+3 = 423

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Answer:

A. 42 \(u^{2}\)

Step-by-step explanation:

The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.

Finding the area:

length × width

= 7 × 6

= 42 \(u^{2}\)

You need to multiply -6 and 3

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Work Shown:

n(A only) = number of items inside set A only

n(A only) = 12

n(A and B) = 16

n(B only) = 20

n(A or B) = n(A only) + n(A and B) + n(B only)

n(A or B) = 12 + 16 + 20

n(A or B) = 48

n(Total) = n(A only) + n(A and B) + n(B only) + n(Not A, not B)

n(Total) = 12+16+20+24

n(Total) = 72

P(A or B) = n(A or B)/n(Total)

P(A or B) = 48/72

P(A or B) = 0.67 approximately

Answer:

Teresa will have $2500 in her account 6 months from now if she deposits $250 each month.

Step-by-step explanation:

The given expression is:

1000 + 250x

To find the amount Teresa will have in her account 6 months from now, we need to substitute x = 6 in the expression:

1000 + 250(6) = 1000 + 1500 = 2500

Therefore, Teresa will have $2500 in her account 6 months from now if she deposits $250 each month.