There area of a wall is 600 square feet.
How much paint is needed if there is 8 liters per square feet?​

The statement '' If f: A → B is a surjective function, then f is invertible.'' is false because a function being surjective does not imply it is invertible. Invertibility requires both surjectivity and injectivity. The statement ''Suppose IAL. IBL E N. If there exists a bijection f: A → B, then |A| = |B| is true because if there exists a bijection between sets A and B, then their cardinalities are equal, denoted as |A| = |B|.

(a) False. A function being surjective (onto) does not guarantee it is invertible. A function must be both injective (one-to-one) and surjective to be invertible. A counterexample is the function f: R → R defined by f(x) = x^3. This function is surjective but not invertible since it fails to be injective.

(h) True. If there exists a bijection f: A → B, then it implies that every element in A is paired with a unique element in B, and vice versa. This one-to-one correspondence ensures that the cardinality of set A is equal to the cardinality of set B, denoted as |A| = |B|.

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Answer:

b

Step-by-step explanation:

The moment of inertia of a cube with mass m = 0.500kg and side lengths s = 0. 030m about an axis which is both normal (perpendicular) to and through the center of a face of the cube is I = 2.205x10^-4 kg/m^2.

Here Given mass m = 0.5 kg

And side length = 0.03 m

Moment of inertia I = mass x radius of rotation squared

I = mr^2

In this case, the radius of rotation is about an axis which is both normal (perpendicular) to and through the center of a face of the cube.

Calculating from the dimensions of the the box, the radius of rotation r = 0.021 m

Therefore, I = 0.5 x 0.021^2 = 2.205x10^-4 kg/m^2

Hence the answer is the moment of inertia of a cube with mass m = 0.500kg and side lengths s = 0. 030m about an axis which is both normal (perpendicular) to and through the center of a face of the cube is I = 2.205x10^-4 kg/m^2.

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Step-by-step explanation:

9 ko

13x+6=9x-2 (co interior angle of parallrgram is equal)

13x-9x =-2-6

4x=-8

x =-8/4

x=-2

Answer:

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, 2) and (4, 4). Everything below and to the right of the line is shaded.Step-by-step explanation:

The correct option H0: µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

Paired testing, commonly referred to as auditing, is a practical and easy technique to determine whether and how discrimination is present.

Thus, µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

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Answer:

Step-by-step explanation:

c

well, since it has a diameter of 19, that means  its radius is half that, or 9.5.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=9.5\\ \theta = 237 \end{cases} \implies A=\cfrac{(237)\pi (9.5)^2}{360}\implies A\approx 186.66~ft^2\)

Answer:

22.

x=35

y=8

23.

x=30

y=50

Step-by-step explanation:

The coordinates of the rectangle are (3,-3), (3, -7), (7, -7) and (7, -3).

We also know that the distance between the left and right sides of the rectangle is 4 (since the x-coordinate of the right side is 7 and the x-coordinate of the left side is 3). So we have the equation:

4x = 16

Solving for x, we get x = 4. This means that the length of the top and bottom sides of the rectangle is 4 units. The height of the rectangle is 16/4 = 4 units.

Now that we know the length and height of the rectangle, we can draw it on the coordinate plane.

The left side starts at (3, -3) and ends at (3, -7). The right side starts at (7, -3) and ends at (7, -7).

The top side starts at (3, -3) and ends at (7, -3). The bottom side starts at (3, -7) and ends at (7, -7).

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Answer:                                            

p(x)=x^3-4x^2+5x-2

=(2)^3-4(2)^2+5(2)-2

=8-4(4)+10-2

=8-16+10-2

=0

hope it helps mark as brainliest

Answer:

remainder is zero  

quotient is x^2-2x+1

Step-by-step explanation:

The division can be written as: x³ + 9x² + 12x - 5 = (x + 7)(x² + 7x + 10) - 75

What is synthetic division ?

Synthetic division is a simplified method of polynomial division that can be used to divide a polynomial by a linear binomial. It's used to find the quotient and remainder of a polynomial division without having to perform long division.

In synthetic division, the coefficients of the polynomial are arranged in a table along with the coefficients of the divisor, and then divided and multiplied using the same rules as in long division. The remainder of the division is the last entry in the table, and the quotient is the polynomial whose coefficients are the entries in the table, excluding the remainder.

To perform synthetic division, we divide x³ + 9x² + 12x - 5 by x + 7 by dividing each coefficient by x + 7 and then writing the result in a table with the dividend on top and the divisor on the bottom. Here's what the table would look like:

 + 7 |  1  9  12 -5

-------------------

x^3  | x^3  9  12 -5

x^2  | x^2 +7x  3 -35

x    |  x +7  10 -70

   -------------------

       10  43 -75

The quotient of the division is x² + 7x + 10, and the remainder is -75.

Therefore, the division can be written as: x³ + 9x² + 12x - 5 = (x + 7)(x² + 7x + 10) - 75

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Answer: Ricky: 1204, Pedro: 1481

Step-by-step explanation:

If Pedro hit 277 more base hits that Ricky, and together they hit 2685, then

2685=2x+277

2x=2408

x=1204

so Ricky hit 1204 base hits and Pedro hit 1481.

check: 1204+1481=2685

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

Given information-

The point through which the line passes are (2, 8) and (4, 12).

To find the equation of the line, the standard form of the equation of the line must be obtained.

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

The standard form of the equation of the line can be given as,

\((y-y_1)=\dfrac{y_2-y_1}{x_2-x_1} (x-x_1)\)

Where \((x_1,y_1)\) and \((x_2,y_2)\) are the points through which the line passes.

Thus the equation of the line which passes through the points (2, 8) and (4, 12) can be given as,

\((y-8) &=\dfrac{12-8}{4-2} (x-2)\\(y-8) &=\dfrac{4}{2} (x-2)\\2y-16 &=4x-8\\2y &=4x-8+16\\\)

Divide by 2 both the side,

\(y=2x-4\)

Thus the equation of the line which passes through the points (2, 8) and (4, 12) is,

\(y=2x-4\)

Hence the option 3 is the correct option.

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Slope (m): 20

y-intercept (b): 0

(basically where the line touches the y axis)

y=mx+b so

y=20x

hope this helped :)

Answer:

your slope is

40-20/2-1 = 20

Your y intercept is 0

your equation is:

y = 20x + 0

Answer:

Step-by-step explanation:

K+4 = 11;

k = 7

Answer:

B is true

Step-by-step explanation:

so use k+4=11 to solve that k+7

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:

8

Step-by-step explanation:

Answer:

the blocks represents a²+b²=c², the largest block represents the hypotenuse which would be c² the smallest can either be a or b

Step-by-step explanation:

Answer:

volume of cube= l^ 3

=(4x)^3

=64x^3 cubic units

Answer:

37/50

Step-by-step explanation:

Step 1) Multiply 7/10 by 5/5 to get 35/50

Step 2) Add 3/50 and 35/50

Step 3) 3/50+ 35/50= 37/50

11.4

Step-by-step explanation:

The length of the diagonal of the square is \(4\sqrt{2}\) units. Additionally, the area of the square is \(16\) square units.

Answer: A. Distribute the 3 outside of the parathesis to everything inside the parenthesis

We use the order of operations, also known as PEMDAS.

Since there is a variable inside the parenthesis, we cannot add/subtract 4. This means the next step is to distribute.

After distributing, the equation looks like this and we can solve it from there:

4x + 12 = 30

The solution to the system of equations is (x, y) = (2, 4) and (x, y) = (-2, 4).

To find the solution to the system of equations, we can set the two equations equal to each other: 2x^2 - 4 = 4

Adding 4 to both sides: 2x^2 = 8

Dividing both sides by 2: x^2 = 4

Taking the square root of both sides (considering both positive and negative square roots): x = ±2

Now, we substitute the value of x into either of the original equations to find the corresponding y-values. Let's use the second equation: y = 4

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Answer: 5 and 764 over 999

5764 over 9999

5 and 764 over 99

5 and 999 over 764

Step-by-step explanation:

Y=21

Step-by-step explanation:

Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.

In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.

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The distance between the spectator and Bob is approximately 23.9 ft.To find the distance between the spectator and Bob, we can use trigonometry and the concept of the tangent function.

Let's denote the distance between the spectator and Bob as "d".In a right triangle formed by the spectator, Bob, and the vertical distance from Bob to the ground (20 ft), the angle of elevation is 40°.

The tangent function relates the opposite side (20 ft) to the adjacent side (distance "d"):

tan(40°) = opposite/adjacent

tan(40°) = 20/d

To solve for "d", we can rearrange the equation:

d = 20 / tan(40°)

Using a calculator, we can find the value of tan(40°) ≈ 0.8391.

Therefore, the distance between the spectator and Bob is:

d = 20 / 0.8391 ≈ 23.86 ft (rounded to the nearest tenth).

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