What pressure is required to compress 213.0 L of air at 1.00 atm into a cylinder whose volume is 15.0 L?

Answer:

1.646 > 1.43

hope this helped

> = greater

Step-by-step explanation:

Answer:

1.646 i think-

Step-by-step explanation:

Answer:

almost 9

Step-by-step explanation:

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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The quotient of √x ³ / √5 x ² is √ ( x / 5 )

To find : the product of √x ³ / √5 x ²

By checking the power of roots for each term

The terms which are given are √x ³ and √5 x ²

Since both the numbers have the same root power they can be combined under the same square root for further operation

Dividing the terms

=> √ ( x ³ / 5 x ² )

=> √ ( x / 5 )

Therefore, we get the quotient of √x ³ / √5 x ² as √ ( x / 5 ).

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The numerical value "62" is a statistic because it is based on the sample of passengers aboard the Hindenburg airship.

In the given scenario, the numerical value is "62." We are told that there were 97 passengers aboard the Hindenburg airship and that 62 of them survived its explosion.

Since the numerical value is based on the sample (i.e., the passengers aboard the Hindenburg airship), it is a statistic. It describes the proportion of passengers who survived the explosion in the sample.

If we wanted to know the proportion of passengers who survived the explosion in the entire population (i.e., all passengers who have ever traveled on the Hindenburg airship), we would need to determine the parameter.

However, since we do not have data on the entire population, we cannot determine the parameter.

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Answer:

a) 1/8 b) 1/6

Step-by-step explanation:

b) 6/36 = 1/6

a) 1/2 x 1/2 x 1/2 = 1/8

Answer:

2

Step-by-step explanation:

Answer:

144 sq feet.

Step-by-step explanation:

A=B×H/2 2.5×4.8=12 12/2=6

24×6=144.

Answer:

i think A

Step-by-step explanation:

The integration of  y′ = 2e^2x sin (e^2x) ⇒ y =_____+C is y = e^2x sin(e^2x) - (4/5)e^5x cos(e^2x) - (8/25)∫e^7x sin(e^2x) dx + C

To solve this integration problem, we need to use integration by parts. Integration by parts is a technique for evaluating integrals where the standard integration rules do not apply. The formula for integration by parts is ∫u dv = uv - ∫v du.

Let u = sin(e^2x) and dv = 2e^2x dx

Then, du = 2e^2x cos(e^2x) dx and v = e^2x

Using the formula for integration by parts, we get:

∫2e^2x sin(e^2x) dx = e^2x sin(e^2x) - ∫e^2x * 2e^2x cos(e^2x) dx

= e^2x sin(e^2x) - 2∫e^4x cos(e^2x) dx

Now, we need to use integration by parts again. Let u = cos(e^2x) and dv = 2e^4x dx

Then, du = -2e^2x sin(e^2x) dx and v = (2/5)e^5x

Using the formula for integration by parts, we get:

∫2e^4x cos(e^2x) dx = (2/5)e^5x cos(e^2x) - (2/5)∫(2/5)e^5x * -2e^2x sin(e^2x) dx

= (2/5)e^5x cos(e^2x) + (4/25)∫e^7x sin(e^2x) dx

Now, we can substitute this back into the original equation:

y = e^2x sin(e^2x) - 2[(2/5)e^5x cos(e^2x) + (4/25)∫e^7x sin(e^2x) dx] + C

Unfortunately, the integral ∫e^7x sin(e^2x) dx does not have a simple solution, so we cannot simplify this further. However, we have found the most simplified form of the integral in terms of another integral. The final answer is:

y = e^2x sin(e^2x) - (4/5)e^5x cos(e^2x) - (8/25)∫e^7x sin(e^2x) dx + C

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Answer: 84

Step-by-step explanation:

Using PEMDAS,

(5*10 -8)2

= (50-8)2

= (42)2

=84

Answer:

slope: -1/2

y-intercept: 8

Step-by-step explanation:

y=mx+b is the linear equation

m=slope

b=y-intercept

9514 1404 393

Answer:

  \(\begin{cases}3x+12&\text{if }x>-4\\0&\text{if }x=-4\\-3x-12&\text{if }x<-4\end{cases}\)

Step-by-step explanation:

The absolute value function negates its argument when its argument is negative. The expression 3x+12 will be negative when ...

  3x +12 < 0

  x +4 < 0

  x < -4 . . . . . makes the absolute value function change its argument's sign

Using this fact, we can divide the domain into intervals below -4, at -4, and above -4. The above answer shows the function value in each domain interval.

Answer:

4

Step-by-step explanation:

3/9 is the same as 1/3 so 1/3 or 12 is 4

Answer:

4

Step-by-step explanation:

Answer:

2b + 88 = 180

Step-by-step explanation:

The angles given in the figure forms a straight line and their sum is equal to 180°.

So the answer is the equation given in the last option represents the relationship between the angles.

The outline of this experiment has been drawn using the concept of = Randomized Block Design

The outline of the experiment has been drawn and attached below.

According to the information given in the question,

⇒ Each treatment groups are to be analyzed according to the grade levels of the students of the online and offline classes.

Refer to the attached file below to see the outline of the experiment of an even split.

Randomized Block Design can be explained as -

The schematic diagram of this formation could have the following components,

Blocking ⇒ Grouping ⇒ Treatment of numbers ⇒ Finialzed product.

Let us consider the total number of students = 50

Number of juniors = 20

Number of seniors = 30

In the grouping section,

The number of students is divided into an equal number of subgroups,

According to the attached table, we can see that the adjacent groups are treated together ( one group online with one group in the classroom ).

Therefore,

The outline of this experiment has been drawn using the concept of = Randomized Block Design

The outline of the experiment has been drawn and attached below.

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The equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π) is y = -2x + (2π + 2nπ sin(n) - π), where m = -2 - 2nπ sin(n) and b = 2π + 2nπ sin(n) - π.

To find the equation of the tangent line, we need to find the derivative of y with respect to x, and then evaluate it at the given point (π, -π) to find the slope of the tangent line. Then we can use the point-slope form of a line to find the equation of the tangent line in the form y = mx + b.

Taking the derivative of y with respect to x, we get:

dy/dx = 2cos(n) - 2n x sin(n)

Evaluating this derivative at x = π, we get:

dy/dx |x=π = 2cos(n) - 2n π sin(n)

Substituting x = π and y = -π into the original equation, we get:

-π = 2πcos(n)

cos(n) = -1/2

Since we want the equation of the tangent line at the point (π, -π), we can substitute x = π and y = -π into the point-slope form of a line:

y - (-π) = m(x - π)

Simplifying, we get:

y = m(x - π) - π

Substituting cos(n) = -1/2, we have:

dy/dx |x=π = 2cos(n) - 2n π sin(n) = -2 - 2nπ sin(n)

Setting this equal to the slope of the tangent line, we have:

m = -2 - 2nπ sin(n)

Substituting this value of m into the equation of the tangent line, we have:

y = (-2 - 2nπ sin(n))(x - π) - π

Therefore, the equation of the tangent line is:

y = -2x + (2π + 2nπ sin(n) - π)

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Complete question:

Find the equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π). The equation of this tangent line can be written in the form y = mx + b, where m and b are constants. Find the values of m and b.

Answer:

3 pi 9

Step-by-step explanation:

Answer:

We conclude that Tim is correct when he says that the expression x² only yields values that are positive.

Step-by-step explanation:

Given the expression

x²

Putting x = 1 in the expression

x²= (1)² = 1

Putting x = -1 in the expression

x²= (-1)² = 1

Thus, the expression yields the same output '1' when we enter x = 1, and x=-1.

Putting x = 2 in the expression

x²= (2)² = 4

Putting x = -1 in the expression

x²= (-2)² = 4

Thus, the expression yields the same output '4' when we enter x = 2, and x=-2.

Putting x = 3 in the expression

x²= (3)² = 9

Putting x = -1 in the expression

x²= (-3)² = 9

Thus, the expression yields the same output '9' when we enter x = 3, and x=-3.

The reason why the expression x² only yields positive values because the expression is in the square form, and the square of any number will always yield a positive value, no matter whether the input number is negative or positive.

Therefore, we conclude that Tim is correct when he says that the expression x² only yields values that are positive.

60% *0.01 = 0.6

1/3*0.6=0.2=2/10=1/5

Answer:

1/5

The fraction is 1/5.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

60%

= 60/100

= 6/10

= 3/5

Now,

1/3 of 60%

= 1/3 x 3/5

= 1/5

Thus,

The fraction is 1/5.

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Answer:

4.5 Ft

Step-by-step explanation:

1/4(18)= 4.5 Ft

0.25(18)=4.5Ft

The area of the shaded region is the area of the rectangle minus the area of the triangle

Find the coordinates of point E: Since point E lies halfway between sides AB and CD, and halfway between sides AD and BC, we can find its coordinates by taking the average of the coordinates of the opposite vertices. That is, if A = (a, b), B = (c, d), C = (e, f), and D = (g, h), then the coordinates of E are ((a+g)/2, (b+h)/2).

Find the equation of the diagonal BD: The diagonal BD passes through points B and D, so we can find its equation by using the point-slope form: y - d = (h - d)/(g - c) * (x - c).

Find the equation of the line perpendicular to BD passing through E: Since the shaded region is formed by the rectangle and the triangle outside it, we can find the equation of the line perpendicular to BD passing through E to find the height of the triangle. The slope of the line perpendicular to BD is the negative reciprocal of the slope of BD, so it is -(g - c)/(h - d). We can use the point-slope form again to find the equation of the line: y - ((b+h)/2) = -(g-c)/(h-d) * (x - (a+g)/2).

Find the intersection of the two lines: The intersection of the two lines is the point where the height of the triangle intersects the diagonal BD. We can solve the system of equations formed by the two lines to find this point.

Find the area of the triangle: Once we have the height of the triangle and the length of the base (which is the length of diagonal BD), we can use the formula for the area of a triangle: A = (1/2)bh, where b is the length of the base and h is the height.

Find the area of the shaded region: The area of the shaded region is the area of the rectangle minus the area of the triangle.

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To find the distance from point Q=(-28, 41) to the line represented by the equation (x, y) = (2, 1) + t(4, 3), we can use the formula for the distance between a point and a line in the coordinate plane. Therefore, the distance from point Q to the line is 233/5.

The distance between a point (x0, y0) and a line Ax + By + C = 0 is given by the formula:

d = |Ax0 + By0 + C| / √(A^2 + B^2)

In this case, we have the line represented parametrically as (x, y) = (2, 1) + t(4, 3), where t is a parameter. To use the formula, we need to convert this parametric representation to the standard form Ax + By + C = 0.

Expanding the parametric equation, we have:

x = 2 + 4t

y = 1 + 3t

From these equations, we can rearrange them to isolate t:

t = (x - 2) / 4

t = (y - 1) / 3

Setting the two expressions for t equal to each other, we get:

(x - 2) / 4 = (y - 1) / 3

Simplifying, we have:

3x - 6 = 4y - 4

4y - 3x = 2

Now we have the equation of the line in standard form. The coefficients A, B, and C are 4, -3, and 2, respectively.

To find the distance between point Q=(-28, 41) and the line, we can substitute the values into the distance formula:

d = |4(-28) + (-3)(41) + 2| / √(4^2 + (-3)^2)

Calculating the numerator and the denominator, we have:

d = |-112 - 123 + 2| / √(16 + 9)

d = |-233| / √25

d = 233 / 5

Therefore, the distance from point Q to the line is 233/5.

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How much a statistic varies from one sample to another is known as the sampling variability of a statistic.

Testing variability arises due to the reality that exceptional samples of the same size can produce special values of a statistic, although the samples are described from the same populace. the quantum of slice variability depends on the scale of the sample, the variety of the populace, and the unique statistic being calculated.

The end of statistical conclusion is to apply the data attained from a sample to make consequences about the population, while counting for the slice variability of the statistic. ways similar as thesis checking out and tone belief intervals do not forget the sampling variability of a statistic to make redundant accurate consequences about the populace.

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The polynomial (x-2) is not a factor of the polynomial \(3x^2\) - 8x + 2. Therefore, the given statement is false.

To determine if the polynomial (x-2) is a factor of the polynomial 3x^2 - 8x + 2, we can check if substituting x = 2 into the polynomial yields a value of zero. If the result is zero, then (x-2) is a factor.

Substituting x = 2 into \(3x^2\) - 8x + 2, we get:

3(2)^2 - 8(2) + 2 = 12 - 16 + 2 = -2

Since the result is not zero, we can conclude that (x-2) is not a factor of the polynomial \(3x^2\) - 8x + 2.

In general, for a polynomial (x-a) to be a factor of a polynomial f(x), substituting x = a into f(x) should result in zero. If the result is not zero, then (x-a) is not a factor of f(x).

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The graph that represents a function is the graph (b)

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

Graphs A to D (see attachment)

As a general rule of the vertical line test

For a graph to represent a function, a line drawn from the x-axis must intersect with the graph at most once

Using the above as a guide, we have the following:

The graph b would intersect with a line from the x-axis at most once

Hence, the graph that represents a function is (b)

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D) A^2 = A + 1 this equation represents diagonal matrices with the same eigenvalues on the diagonal.

Let λ be an eigenvalue of the matrix A, and let v be the corresponding eigenvector. Since A is diagonalizable, we can write A = PDP^(-1), where D is the diagonal matrix containing the eigenvalues on the diagonal, and P is the matrix whose columns are the eigenvectors.

We know that A^2 = A + 1, so we can substitute A with its diagonalizable form:

(PDP^(-1))^2 = PDP^(-1) + 1.

Expanding the square and applying the matrix multiplication rules, we get:

PD^2P^(-1) = PDP^(-1) + 1.

Since D is a diagonal matrix, D^2 will have the eigenvalues squared on the diagonal. Therefore, we have:

P(D^2)P^(-1) = PDP^(-1) + 1.

Multiplying both sides by P^(-1) on the right, and by P on the left, we obtain:

D^2 = D + 1.

This equation holds because P^(-1)P = I (the identity matrix), and D and D^2 are diagonal matrices with the same eigenvalues on the diagonal.

Therefore, the correct answer is D) A^2 = A + 1.

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If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.

Let's evaluate each statement:

P(B/A) = 0.4:

This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.

Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.

P(A and B) = 0.12:

This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.

P(A/B) = 0.3:

This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.

P(A or B) = 0.58:

This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.

If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.

Therefore, the correct statements are:

The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.

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Answer:

slope: 3

y-intercept: 3

Step-by-step explanation:

y=3x+3

Hope this helps :) Have a good day!!!!