Simplify the following equation using de morgan theoremy = ( x1 ( x2 x3) ) (x1 x2 )

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We are asked to find which expression represents the description "twice the quantity m plus n".

\(\triangle~\fbox{\bf{KEY:}}\)

First, add m and n:

\(\star~\large\pmb{m+n}\)

Now, multiply two times this sum:

\(\star~\large\pmb{2(m+n)}\)

See, the parentheses around the sum show that we multiply two times both m and n.

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Answer:

2(m + n)

Step-by-step explanation:

The words describe a quantity. "Twice" means two-times the previous amount. m and n are the unknown numbers that are being added, so you must put them in parentheses to indicate that they should be added first.

Answer:

Jamie swims 1/2 the length of the swimming pool every 1/4 of a minute. This means that Jamie swims 1/8 of the length of the pool in one second. If the pool is 25 meters long, it would take Jamie 200 seconds, or about 3 minutes and 20 seconds, to swim the length of the pool. This is just an estimation, as the actual time it would take Jamie to swim the length of the pool would depend on factors such as Jamie's swimming ability and the speed at which they swim.

Answer:

15.4z - 12

Step-by-step explanation:

Distribute:

=7.4z + (−5)(−1.6z) + (−5)(2.4)

=7.4z + 8z + −12

Combine Like Terms:

=7.4z + 8z + −12

=(7.4z+8z) + (−12)

=15.4z + −12

Answer:

c

Step-by-step explanation:

i think

Answer:

\(CB = 7.5\)

Step-by-step explanation:

Well, if the question gave you a right triangle, an angle, and the side length of the side opposite to that angle, this question should scream (TRIGONOMETRY). So tap into your brain and think about how you can use sin, cosine, and/or tangent to solve the problem.

So notice that the question is asking for the side length of CB, the side adjacent to the angle C (53 degrees). Since we already have the length of the side opposite to C (10), we can use tangent, because we know the value of tan58 if we put it in a calculator, and we know the length opposite to C.

\(tan(53) = 10/CB\)

\(CB * tan(53) = 10\)

\(CB = \frac{10}{tan(53)}\)

\(CB = \frac{10}{1.327} = 7.5359...\)

Answer: Your answer will be Option three

Step-by-step explanation: Because she ate 1/3 the rest of the cake.

Have a brilliant day- your friend Lily ^_^

The answer is:

a. 100

Based on the given confusion matrix:

```

              Predicted Class

            |   0   |   1   |

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

Actual Class |       |       |

      0     |   30  |  3,000|

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

      1     |  100  |  221  |

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

```

To determine the number of class 1's that are incorrectly classified as class 0, we need to look at the value in the cell corresponding to predicted class 0 and actual class 1, which is 100.

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Answer:

95%

Step-by-step explanation:

In this question, it's important to note that the question states the distribution is a normal distribution, therefore we can use the Empirical Rule (68-95-99.7 rule).

The Empirical Rule, also known as the 68-95-99.7 rule, states that:

*Note that the Empirical Rule only works for normal distributions

We know that the mean, \(\mu\), is given as 79 and the standard deviation, \(\sigma\), is given as 17. Since the standard deviation is 17, 2 standard deviations must be \(2\sigma=2\cdot 17=34\) (and 3 standard deviations would just be 51).

We want to find the percentage of scores (% of data) that falls between the scores 45 and 113.

Notice that 45 is 34 less than the mean of 79 and 113 is 34 more than the mean of 79, therefore, the range of scores between 45 and 113 varies between ±2 standard deviations from the mean.

From the Empirical Rule, we can see that 95% of data falls between ±2 standard deviations in a normal distributions.

Thus, 95% of scores fall between 45 and 113.

Answer:

QUESTION:

How many 3 digit numerical passwords are there if a digit can be repeated?

ANSWER:

The first digit of the password can be any of the ten digits - 10 possibilities.

A digit cannot be repeated, so the second digit can be any digit except the one you chose for the first digit - 9 possibilities.

The third digit can be any digit except the digits you chose for the first and second digit - 8 possibilities.

Using the rule of product:

10 X 9 X 8 = 720

There are 720 passwords.

Step-by-step explanation:

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Answer:

1000?

Step-by-step explanation:

The type of sampling used in Billy's study, where he divides the customers by age and randomly selects a proportionate number of customers from each age group, is stratified sampling.

Stratified sampling involves dividing the population into homogeneous subgroups or strata based on certain characteristics or variables. In this case, Billy is dividing the customers by age, creating age groups as the strata.

By selecting a proportionate number of customers from each age group, Billy ensures that the sample is representative of the entire population in terms of age distribution. This allows for more accurate conclusions and inferences about the shoe sales of different age groups in his store.

Stratified sampling is a useful technique when there are known differences or variations within the population. By sampling from each stratum, the variability within each group can be captured, leading to more precise graphs and reducing the potential bias that can arise from other sampling methods.

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The given Triangles are not Congruent, so the statement is False.

It states that two triangles are considered to be congruent if they are identical duplicates of one another and completely cover one another when superposed. In other words, two triangles are congruent if their corresponding sides and angles are equivalent to those of the first triangle.

Given:

From the both Triangles We have two angles measure is 60, 30 and 90 degree.

We know we have Congruence Rule

SSS, SAS, ASA , HL Congruence Rule.

But we do not have any rule regarding the AAA Criteria.

So, the triangles are not Congruent.

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Answer:

18 boys

Step-by-step explanation:

30*0.4= 12

30-12=18

Therefore, the area of the composite figure is 65 square centimeters. Therefore, the area of the composite figure is approximately 150.8 square centimeters.

In mathematics, the area is the measure of the size of a two-dimensional surface or shape. It is the amount of space inside the boundary of a flat object, such as a triangle, rectangle, circle, or any other polygon. The standard unit of measurement for area is square units, such as square meters (m²), square centimeters (cm²), or square feet (ft²). To calculate the area of a shape, we usually use a formula that depends on the shape's geometry and dimensions, such as its length, width, radius, or height. Area has many applications in everyday life, such as calculating the size of a room, the amount of paint needed to cover a wall, or the area of land required to build a house or grow crops. In mathematics and science, area is also used to solve problems in geometry, physics, engineering, and other fields.

Here,

1. Combination of Square and Rectangle

To find the area of this composite figure, we need to break it down into simpler shapes and add up their areas. The figure consists of a square with sides of 5 cm, a rectangle with sides of 4 cm and 9 cm, and a square with sides of 2 cm.

The area of the square with sides of 5 cm is:

A1 = (side)²

= (5 cm)²

= 25 cm²

The area of the rectangle with sides of 4 cm and 9 cm is:

A2 = length x width

= (9 cm) x (4 cm)

= 36 cm²

The area of the square with sides of 2 cm is:

A3 = (side)²

= (2 cm)²

= 4 cm²

To find the total area of the composite figure, we add up the areas of these three shapes:

A = A1 + A2 + A3

A = 25 cm² + 36 cm² + 4 cm²

A = 65 cm²

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Polynomial - A mathematical expression of one or more algebraic terms, each of which consists of a constant multiplied by one or more variables raised to whole number exponents.

Putting it all together, a polynomial is a mathematical expression that consists of one or more algebraic terms. Each term includes a constant multiplied by one or more variables raised to whole number exponents. Polynomials can have different degrees, which correspond to the highest exponent of the variables within the expression.

Polynomials are widely used in algebra and play a significant role in various mathematical concepts and applications.

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The main difference between Hexagon and Quadrilateral is that the Hexagon is a polygon with six sides and Quadrilateral is a polygon with four sides. In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six sided polygon or 6-gon.

The number of seeds Kerri plants is a multiple of 8

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

Kerry plants some sunflower seeds in equal rows of 8 seeds each.

Represent the number of rows with x

So, the number of seeds is

Seed = 8x

This means that the number of seeds Kerri plants is a multiple of 8

And examples are 8, 16, 24, 32 and so on

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First you will get 4dz

Answer:

The answer is A

Step-by-step explanation:

Hope it helps!

The statement suggests that there is likely to be an interaction between nitrogen (N) and phosphorus (P), which are two fertilizer ingredients used to achieve optimum levels in plant growth. However, without further context or specific details, it is uncertain to determine the nature and extent of this interaction.

In agriculture and plant nutrition, both nitrogen and phosphorus are essential elements for plant growth and development. They play crucial roles in various physiological processes and are often supplied through fertilizers to optimize crop yields. The interaction between nitrogen and phosphorus can have significant implications for plant growth and nutrient utilization.

The ratio of nitrogen to phosphorus in the soil can affect nutrient uptake, plant growth, and overall productivity. Different plant species and soil conditions may exhibit varying responses to the interaction between these two fertilizer ingredients. Factors such as soil type, pH, organic matter content, and crop-specific nutrient requirements further contribute to the complexity of this interaction. To fully understand and assess the interaction between nitrogen and phosphorus, detailed research and experimentation specific to the particular context are necessary.

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Answer:

36/5

Step-by-step explanation:

36/5 is the answer.

21/3 +1/2*4/10

7+1/5

36/5

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The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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Answer:

15

Step-by-step explanation:

Main Answer :The proposition "every set is an element of its power set" is false.

Supporting Explanation :According to the power set definition, the power set of any set A is the set of all subsets of A, including the empty set and the set itself. Hence, an element of the power set of A must be a subset of A, not an element of A itself. So, it is not true that every set is an element of its power set. In fact, a set is only an element of its power set if and only if it is a subset of itself, which is not always the case. Therefore, the proposition is false.

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Answer:

c

ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Answer:

LCM(8,4)=8.LCM(5,3)=15. LCM can be used to create equivilant fractions, meaning you can add fractions with much more efficiency.

Step-by-step explanation: