Four gallons of water weigh 33.4 lb.
How much do 7.5 gallons of water weigh?

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

1:30

Step-by-step explanation:

$97.50 - $60) divided by $12.50

    37.50 divided by $12.50 = 3

3 hours + 10:30 = 1:30

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

5.387 \times 10^{10}

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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As the sales price is 65% off you find the 65% of the original cost and then substract it from the original cost:

Answer:

100 percent written as a decimal would just be 1

Step-by-step explanation:

For example, 50% is 0.50 in decimal form that would make 100% well, 1.0

Hope this helps and have a great day!

You got this :)

Answer:

yes

Step-by-step explanation:

Answer c

w = 81°, because 180 – (42 + 39) = 99 and 180 – 99 = 81

Step-by-step explanation:

The statement which true about the triangle is a) w = 99°, because 42 + 39 = 81 and 180 – 81 = 99.

A triangle is a shape consisting of 3 sides and 3 vertices (180º total) of a straight line. As early as 300 BC, Euclid had come up with the concept that the sum of three angles is 180°. This makes great contributions to the concept of shapes, such as finding the lengths of their sides and angles.

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry with vertices A, B and C represented as triangle ABC.

In Euclidean geometry, every three points define a unique triangle and a unique plane (that is, two-dimensional Euclidean space) when they do not collide. In other words, only one plane contains its sides, and every triangle contains many faces. If the whole geometry is just Euclidean planes, there is only one plane and everything is contained within it; however, in high-dimensional Euclidean space, this is no longer true.

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We can conclude that the null hypothesis is rejected. There is sufficient evidence to support the claim that the mean cost in Utah hospitals is below the national mean of $1231.

H₀: μ ≥ 1231 (The mean cost in Utah hospitals is greater than or equal to the national mean)

Hₐ: μ < 1231 (The mean cost in Utah hospitals is below the national mean)

Given

The test statistic for a one-sample t-test is given by

t = (x - μ) / (σ / √n)

Substituting we have

t = (1103 - 1231) / (252 / √25)

≈ -6.103

To determine the critical value, we need to find the critical t-value at the 5% significance level with degrees of freedom

(df) equal to (n - 1)

= (25 - 1)

= 24.

Using a t-distribution table or calculator, the critical value is approximately -1.711.

Since the calculated test statistic (-6.103) is smaller than the critical value (-1.711) and falls into the critical region, we reject the null hypothesis.

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Answer:

I would get two news article that have done research on lets say the weather next week, and compare how they used data, and probability citing sources of course i know it sounds complicated

Step-by-step explanation:

i dont know if this helps- but i hope it does Lol

Answer: Neither They were the same shade of Grey.

Step-by-step explanation:

it’s the right answer trust me

Color would be the same for both statue and stone buildings.

Let's, consider paint black as = x

and paint white as = y

If both the paints are mixed then paint z which is grey is formed.

Represented as,

x(black) + y(white) = z(grey)

Whereas, for the stone building double the amount of black and white colors are being used,

2x + 2y = 2z, coating of grey color would be also double.

Canceling 2 from both sides,

x + y = z

x(black) + y(white) = z(grey)

Therefore color would be the same for both statue and stone buildings.

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Answer:

comparing the means of three or more groups

Step-by-step explanation:

Given:

The three points are (-7,134), (-3,10) and (5,50).

To find:

The equation of parabola using quadratic regression.

Solution:

The general equation of quadratic regression is

\(y=ax^2+bx+c\) ...(i)

The three points are (-7,134), (-3,10) and (5,50).

Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get

\(y=3x^2+(-1)x+(-2)\)

\(y=3x^2-x-2\)

Therefore, the equation of parabola is \(y=3x^2-x-2\) and the missing values in the given equation are 3, -1 and -20.

Answer:

x= 7

Step-by-step explanation:

Let the unknown number be x

\( {x}^{2} = 49\)

Square root both sides

\( \sqrt{ {x}^{2} } = \sqrt{49} \)

Simplify

\(x = 7\)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}\)

Step-by-step explanation:

Let the number be 'x'

Create an equation

\( \sf{ {x}^{2} = 49}\)

Squaring on both sides

\( \dashrightarrow{ \sf{ \sqrt{ {x}^{2} } = \sqrt{49} }}\)

\( \dashrightarrow {\sf{ \: x = 7}}\)

Hope I helped!

Best regards!

Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

The blanks when completed is: If 3 = x, then x = 3

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

3 = x x = 3

The above equation is an illustration of the symmetric property of equation

The symmetric property of an equation states that if one side of an equation is equal to the other side, then the other side is equal to the first side.

In other words, if we have an equation that says a = b, then we can use the symmetric property to say that b = a

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

If 3 = x, then x = 3

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Therefore, the combined rate , It will take both pipes together to fill the tank 12 minutes to fill the tank.

To determine the time it takes for both pipes to fill the tank, we can use the concept of rates. Let's denote the rate at which the first pipe fills the tank as R1 (in tanks per minute) and the rate at which the second pipe fills the tank as R2 (in tanks per minute).

We are given that the first pipe can fill the tank in 20 minutes, which means its rate is 1/20 tanks per minute (since it fills 1 tank in 20 minutes). Similarly, the second pipe fills the tank in 30 minutes, so its rate is 1/30 tanks per minute.

When the two pipes work together, their rates add up. Therefore, the combined rate of both pipes is R1 + R2 = 1/20 + 1/30 = 3/60 + 2/60 = 5/60 tanks per minute.

To find the time it takes for both pipes to fill the tank, we can invert their combined rate: 1 / (5/60) = 60/5 = 12 minutes.

Therefore, it will take both pipes together 12 minutes to fill the tank.

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Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer:

Yes, because its an rational number

Step-by-step explanation:

Solution: by division.

3/7 = 0.42857142857142857142…..

As you can see, the first six decimal places make a loop and become repetitive.

Then I proceeded to divide 100/6. That equals 16 remaning 4. Then counted four digits from0.428571. The 100th digit equals 5.

Answer:

19.36

Step-by-step explanation:

First you figure out what 20% of 22 is, which is 4.4
Then you subtract 4.4 from 22, which gets you 17.6
Then you add 10% of 17.6, that 10% being 1.76
So you lastly add 1.76 to 17.6 which gets you 19.36.

Answer:

To determine the number of outcomes for Nikia's random selection of a team card and a character card for a role-playing game, we can use a tree diagram, table, or list.

There are four possible teams: air, fire, land, and water. Once a team card is selected, there are three possible character cards: healer, spy, and thief. Therefore, the total number of outcomes is the product of the number of options for each selection, which is:

4 (number of team options) x 3 (number of character options) = 12

So there are 12 possible outcomes for Nikia's random selection of a team card and a character card. However, since Nikia has specified that her favorite team is air and her favorite character is spy, the number of outcomes that would satisfy her preferences is:

1 (air team) x 1 (spy character) = 1

Therefore, only one outcome would satisfy Nikia's preferences.

Answer:

The correct answer is a = 44.

Step-by-step explanation:

To solve this problem, we need to isolate the variable (a) on one side of the equation. Our first step should be to subtract 6 from both sides, which gives us:

6 + a/2 - 6 = 28 - 6

a/2 = 22

Next, we should multiply both sides by 2 to cancel out the fraction on the left side of the equation and get the variable a alone.

a/2 * 2 = 22 * 2

a = 44

Therefore, the answer to your question is a = 44.

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The solution to the inequality 13x|20 is all real numbers, as any value of x, no matter how small or large, will make the statement true.

The way to address inequity Using only real values, 13x|20. This means that there is no single solution to this inequality. The inequality is essentially asking what values of x will make the statement true. In this case, any value of x, no matter how small or large, will make the statement true. This is because the absolute value of x is being taken, which means that the value of x is being evaluated regardless of the sign--whether it is positive or negative. For example, if x is -1, then 13x|20 would be 13(-1)|20, which simplifies to -13|20, or 20. This means that no matter what the value of x is, it will always make the statement true. Therefore, the solution to the inequality is all real numbers.

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The eccentricity of the Earth's orbit can be calculated using the given ratio of the Earth's distance from the Sun at perihelion to its distance at aphelion, which is 29/30.

To find the eccentricity, we can use the following formula:

eccentricity (e) = (dA - dP) / (dA + dP)

where dA represents the distance from the Sun to aphelion and dP represents the distance from the Sun to perihelion.

Let's assume that the distance at aphelion is represented by dA. Since the ratio of perihelion to aphelion distance is 29/30, we can express the distance at perihelion (dP) in terms of dA as follows:

dP = (29/30) * dA

Substituting these values into the eccentricity formula:

eccentricity (e) = (dA - (29/30) * dA) / (dA + (29/30) * dA)

Simplifying the equation:

eccentricity (e) = (dA - (29/30) * dA) / (dA + (29/30) * dA)

               = (1 - 29/30) / (1 + 29/30)

               = (1/30) / (59/30)

               = 1/59

Therefore, the eccentricity of the Earth's surface is 1/59.

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Answer:

Step-by-step explanation:

You want the area of a 16-unit circle using different values for pi.

The formula for the area of a circle is ...

  A = πr² . . . . . . where r is half the diameter

For the different values of pi, this will be (in square units) ...

  π(8²) = 64π . . . . exact

  3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low

  22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high

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Answer: -5, -3

Step-by-step explanation: Got this right on Acellus

Answer:

-5, -3

Step-by-step explanation:

acellus

There are no real values for X and Y that satisfy the given equations X + Y = 17 and XY = 164.

To find the values of X and Y in the given equations, we can use a system of equations approach.

Let's start by solving the first equation, X + Y = 17, for one variable in terms of the other. We can choose to solve for X:

X = 17 - Y

Now, substitute this expression for X in the second equation, XY = 164:

(17 - Y)Y = 164

Expanding the equation gives us:

17Y - Y^2 = 164

Rearranging the equation to a quadratic form, we have:

Y^2 - 17Y + 164 = 0

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

Y = (-(-17) ± √((-17)^2 - 4(1)(164))) / (2(1))

Simplifying further:

Y = (17 ± √(289 - 656)) / 2

Y = (17 ± √(-367)) / 2

Since the expression under the square root is negative, there are no real solutions for Y. This means that there are no real values for X and Y that satisfy both equations simultaneously.

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The length and width of the ditch that would provide the maximum area for the rectangular campsite are 22.5 meters and 45 meters..

To determine the length and width of a ditch that would provide the maximum area for the rectangular campsite, we need to consider the given constraints.

Let's assume the length of the rectangular campsite is represented by 'L' and the width by 'W'. We are given that the ditch will surround three sides of the campsite, leaving one side open towards the lake.

From the given information, the total length of the ditch is 90 meters. Since the ditch surrounds three sides, we can divide the 90 meters into two lengths and one width of the rectangular campsite.

Let's say the two lengths of the campsite have lengths 'L1' and 'L2', and the width has a length of 'W'.

The total length of the ditch is given as:

2L1 + W = 90   ...(Equation 1)

The area of the rectangular campsite is given by:

A = L1 * W   ...(Equation 2)

To find the maximum area, we can use Equation 1 to express L1 in terms of W:

L1 = (90 - W) / 2

Substituting this value into Equation 2, we get:

A = ((90 - W) / 2) * W

Expanding and simplifying:

A = (90W - W^2) / 2

To find the maximum area, we can differentiate the area function with respect to W and set it equal to zero:

dA/dW = (90 - 2W) / 2 = 0

Solving this equation, we find:

90 - 2W = 0

2W = 90

W = 45

Substituting this value of W back into Equation 1, we can find L1:

2L1 + 45 = 90

2L1 = 45

L1 = 22.5

Since the length of the rectangular campsite consists of two equal lengths, we have:

L1 = L2 = 22.5

Therefore, the length and width of the ditch that would provide the maximum area for the rectangular campsite are 22.5 meters and 45 meters, respectively.

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