Use the distributive property to simplify the expression 6(9+x)

Douglas McGregor distinguished between these two techniques' fundamental assumptions about human motivation in his well-known "Theory X and Theory Y."

In his well-known "Theory X and Theory Y," Douglas McGregor distinguished between these two approaches' underlying assumptions about human motivation as follows: According to Theory X, employees must be forced, managed, and persuaded to work toward organizational objectives since they detest it.

Additionally, the majority of people prefer to be treated in this manner so they can evade accountability.

Theory Y, or the integration of aims, highlights the typical person's innate interest in his work, desire to be self-directing and seek responsibility, and the ability for originality in problem-solving for organizations.

Therefore, Douglas McGregor distinguished between these two techniques' fundamental assumptions about human motivation in his well-known "Theory X and Theory Y."

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Answer:

The two percent could be 100% and 400%.

Step-by-step explanation:

This would result in the length being multiplied by 4.

Mrs. Rosenblatt's class has an average grade of 87. After realizing she left out Joe's score of 65, the new mean will be lower than 87.

Explanation:

To find the new mean, we need to calculate the sum of all the grades in the class, including Joe's score of 65, and divide it by the total number of students in the class. Let's assume there are n students in the class.

The sum of all the grades in the class, including Joe's score, will be (87 * n) + 65, since the average grade before Joe's score was added was 87. Therefore, the new mean will be:

[(87 * n) + 65] / (n + 1)

Expanding this expression, we get:

(87n + 65) / (n + 1)

Simplifying this expression, we get:

(87n / (n + 1)) + (65 / (n + 1))

Since n is a positive integer, the value of (87n / (n + 1)) will be slightly less than 87. Therefore, the new mean will be slightly less than 87, reflecting the lower score added to the class average.

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Answer:

The factor pairs are: 1,16   2*8  and 4*4

Step-by-step explanation:

Factor pairs are the pairs of numbers that multiply to 16

1*16 = 16

2*8=16

4*4 = 16

The factor pairs are: 1,16   2*8  and 4*4

Answer:

2 3/8

The denominator is 8 because there are 8 total lines

how you get 2 is because you passed the 2 lines and if you count the lines it goes up to three

Answer:

0.83,0.50

Step-by-step explanation:

Since there are 2 digits in 83, the very last digit is the "100th" decimal place.

So we can just say that .83 is the same as 83/100.

So your final answer is: .83 can be written as the fraction

Step-by-step explanation:

To get 83/50 as a decimal just divide and you'll get 1.66 as your answer

The sum of 6 and x is less than or equal to - 20.

Answer:  (6+x) ≤ -20

Answer:

D. 118 + s = 764

Step-by-step explanation:

To find the total number of students in all the other grades, if we only know the total number of students in the school and the number of kids in 3rd grade, we need to subtract the kids in 3rd grade from the entire school. This leaves us with 646.

s = 646

Hope it helped!

Answer:

5 feet each

Step-by-step explanation:

So we know that 4 pieces of rope out of 5 are equal. So, we simply subtract 10 from 30 for that 10-foot piece of rope, which leaves us with 20. Divide 20 by 4 (since there is 4 pieces of rope of equal value) and it leaves us with 5 feet.

Hope I helped! :)

1) After simplification: loguv + logvw + loguw -2logv - 2logu - 2logw

Given expression:

log(uv/w) + log(uw/v) + log(vw/u)- log(uvw)

Now simplify using log properties,

log(a/b) = loga - logb

log(ab) = loga + logb

Therefore,

=loguv - logw + loguw -logv + logvw - logu - logu -logv -logw

=loguv + logvw + loguw -2logv - 2logu - 2logw

Hence the simplified form is,

loguv + logvw + loguw -2logv - 2logu - 2logw

2)

Power gain \(P_{2}/ P_{1}\) = 316.22

Given,

n = 10 log(\(P_{2}/ P_{1}\))

n= 25

Now,

25/10 = \(log_{10} \frac{P_{2} }{P_{1} }\)

10^2.5 = \(P_{2}/ P_{1}\)

\(P_{2}/ P_{1}\) = 316.22 .

Hence the power gain in 316.22 .

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Answer: t=1

Step-by-step explanation: brainlest please

Answer:

1/3 x 1/6 = 1/18

1/6 divided by 3 = 1/6 x 1/3 = 1/18

Same answer for both.

No, the method of equivalent pipes cannot be used to find a single hypothetical pipe that is equivalent to the pipe system of problem 3.12.6.

This is because the method of equivalent pipes is used to combine two or more pipes into one pipe to simplify a system. In problem 3.12.6, the given system already consists of only one pipe. Therefore, it is not possible to use the method of equivalent pipes to determine an equivalent pipe.The method of equivalent pipes is used to calculate the head losses for a system of pipes with multiple branches and junctions, using the Loss Coefficient Method and Hazen-Williams Equation. The method of equivalent pipes allows us to convert a complex pipe network into an equivalent pipe with a single diameter and length. However, this method cannot be used for a pipe system with no branches and junctions, such as the one in problem 3.12.6.

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Answer:

  a. length: 20-2x; width: 12-2x; height: x

  b. V = 4x^3 -64x^2 +240x

  c. cubic trinomial

  d. 262.7 cubic inches maximum for a 2.4 inch square

  e. 15 × 7 × 2.5 inches for 262.5 in³ volume

Step-by-step explanation:

If the square cut from each corner has side length x, the dimensions are ...

__

The volume is the product of length, width, and height.

  V = LWH

  V = (20 -2x)(12-2x)(x) = 4(x-10)(x-6)x = 4(x^2 -16x +60)x

  V = 4x^3 -64x^2 +240x

__

The volume function is a cubic trinomial.

__

The maximum volume will be found where the derivative of the volume function is zero.

  V' = 12x^2 -128x +240 = 0

  x^2 -32/3x +20 = 0 . . . . divide by 12

  (x -16/3)^2 = 76/9 . . . . . complete the square

  x = (16 -√76)/3 ≈ 2.4 . . . . size of the square

  V = 4(2.4)(10 -2.4)(6 -2.4) ≈ 262.7 . . . cubic inches

The maximum box volume is about 262.7 cubic inches when the square is about 2.4 inches on each side.

__

A graphing calculator shows there to be two solutions for a volume of 262.5 cubic inches. The rational solution is x = 2.5 inches. The box dimensions would be ...

Answer:

Step-by-step explanation:

First off, we need to remember that the arc measure is equal to the angle measure inside the circle. That means m(arc) MN is 70 degrees. Knowing this, we can find the measures of the other arcs:

m(arc)NP = 180 - 70 - 30 = 80

m(arc)QR = 70 based on vertical angles principle

m(arc)MR = 80+30 = 110 based on vertical angles and angle sum principles

Now we can list the answers using this:

1. 70

2. 70

3. 180

4. 210

5. 110

6. 110

Hope this helps!

The expression 19/30 is evaluated . The correct options are a ) Real and e) Rational number.

The expression to be evaluated is 19/30. The result of the division can be simplified if both the numerator and the denominator are divided by their greatest common factor.

GCF(19, 30) = 1, which means 19/30 is already in simplest form.

Evaluate the expression 19/30.

Check all possible sets that the solution may belong in.The solution belongs to the sets:

Rational numbers.Real numbers.Sets that the solution may not belong in are:Irrational numbers. Natural numbers. Whole numbers. Integers.

An irrational number is any number that cannot be expressed as a ratio of two integers.

Since 19/30 is a ratio of two integers, it is not an irrational number.

A natural number is a positive integer, and since 19/30 is not a positive integer, it is not a natural number.

A whole number is a positive integer and 0.

Since 19/30 is not an integer, it is not a whole number.  

An integer is a positive or negative whole number and 0.

Since 19/30 is not an integer, it is not an integer.

Therefore, the correct options are a ) Real and e) Rational.

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Answer:

\(\bold{A = \frac{20}{7}}\)

\(\bold{B = -\frac{21}{10}}\)

Step-by-step explanation:

\(\underline{\mathrm{Same \:lines:}}\\\\y = \frac{2x}{\mathrm{B}} - \frac{7}{\mathrm{B}}\\\\ y = \frac{\mathrm{-A}x}{3} +\frac{10}{3}\)

\(\mathrm{If\:they\:are\:in\:the\:same\:line,\:then\:the\:Slopes\:and\:Intercepts\:are\: Equal.}\)

a. a typographical error in data transfer outliers would most likely be the easiest to correct.

Typo, often known as a misprint, is short for a typographical error. Typos are mistakes created during the typing process that editors and proofreaders failed to catch.

When the writer means to enter the wrong term, the error is referred to be a typo. The majority of the time it is spelt wrongly. It's possible for a word to be incomplete, to have an extra letter, or to be missing a letter, which can occasionally result in the creation of a new term with a completely different meaning. A typographical error in material that has been written or printed.

Thus, correct option is: a

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Answer: $2 per candle

Step-by-step explanation:

Dollars to candles

4 to 2

is equivalent to

2 to 1

$2 per candle

The ratio of candles to dollars is 1/2.

$2 per candle.

Option B is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates are from the graph.

(2, 4), (4, 8), (8, 16).

The x-coordinates denote the number of candles.

The y-coordinate denotes the cost.

Now,

(2, 4) means 2 candles cost $4.

(4, 8) means 4 candles cost $8.

(8, 16) means 8 candles cost $16.

The ratio of candles to dollars.

= 2/4

= 1/2

This means,

The cost of one candle is $2.

Thus,

The cost of one candle is $2.

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Answer:

Okay

Step-by-step explanation:

Answer:

Okay Stay. I will stream it. Nice to meet you. I am Nancy.

Answer:

The number of chairs

Step-by-step explanation:

The equation is 2z + 3

2 ( = multiply by)

z ( # of chairs)

+3 ( the 3 extra chairs in the back)

Answer:

The number of tables

Step-by-step explanation:

Sens there is twice as many chairs as tables, the number 2 represents the chairs. The 3 represents the 3 extra chairs in the back. so the only logical object to represent z is the number of tables.

Answer:

the answer:  b= -1

Step-by-step explanation:

Answer:

The answer is

D. V= 19200- 12t

Step-by-step explanation:

in this problem, we already know that the pool contains 19200 gallons of water

and the pool is draining at 12 gallons per minutes, hence the volume is decreasing at that rate

Therefore for t minutes it will decrease by 12t

hence the volume after t minutes will be

V= 19200-12t

Answer:

3, there is a positive correlation

Step-by-step explanation:

Answer:

157.92 + d = ?

Step-by-step explanation: Since you don't the amount of what his grandmother gave him you substitute the "number" for a letter. Example A or D.

I hope this helps.

If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.

An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.

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Answer:

Step-by-step explanation:

-14m - 5.25n =  (-1.75*8)m + (-1.75 * 3)n

                    = (-1.75) [ 8m + 3n)

The diameter of a wire significantly impacts its strength, range, and stiffness.

1. Strength: As the diameter of a wire increases, its overall strength improves. A larger cross-sectional area allows the wire to withstand greater forces before breaking. This is because the increased material can distribute force more effectively, resulting in enhanced tensile strength.

2. Range: The diameter of a wire also influences its range or length. Thicker wires tend to have shorter range capabilities compared to thinner wires. As the diameter increases, the weight and stiffness of the wire rise as well, making it harder to extend or coil over long distances. Conversely, thinner wires are more flexible and lightweight, enabling them to cover greater lengths.

3. Stiffness: Lastly, the diameter of a wire impacts its stiffness, which is the resistance of the wire to bending or deformation. With a larger diameter, the stiffness of the wire increases due to the higher amount of material present. This means that it requires more force to bend or change the shape of the wire, resulting in greater rigidity. On the other hand, wires with smaller diameters are more pliable and can easily be bent or manipulated.

In summary, the diameter of a wire plays a crucial role in determining its strength, range, and stiffness. Thicker wires exhibit enhanced strength and stiffness but may have limited range capabilities, while thinner wires are more flexible and suitable for longer distances but may not be as strong or rigid.

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Transfer Function of the given system is X(s)/U(s)= (1)/[-s^2 + 3s +7].

Given that a linear system toX =[ -5 1] X + [1][ -1 -2] [1] uY =[3 1]

XTransfer Function: It is a mathematical representation of the relationship between the input and output of the linear system.

Mathematically transfer function is represented as  Y(s)/U(s)Where U(s) is Laplace Transform of input and Y(s) is Laplace Transform of output.

Here,X =[ -5 1] X + [1][ -1 -2] [1] u

Taking Laplace Transform on both sides.

sX(s)-x(0)=(-5 1)X(s) + u(s)(1)[ -1 -2] [1]Y(s)=[3 1]X(s)

After rearranging the equation (1),X(s)/U(s)= (1)/[s+5 -1]/[-1 s+2]X(s)/U(s)= (1)/[-s^2 + 3s +7]

So, transfer function is given asX(s)/U(s)= (1)/[-s^2 + 3s +7]

Hence, the detail answer for the given question is as follows.

Transfer Function of the given system is X(s)/U(s)= (1)/[-s^2 + 3s +7].

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