as soon as possible please!!! a=4 b=7 2a2 • - 4b - 4a(b-a) = [ 72a2 - 4b - 4a(b - a) = [?]

After considering the given data we conclude that the value of CE = x = 6, under the condition that the given figure is AEC. The set up proportion is 6/4 = 1.5

In the given figure, we have two right-angled triangles ABC and CBE such that triangle ABC meets triangle CBE at a common side of BC. The base of triangle ABC is 8 and the base of triangle CDE is 4. We need to find the length of CE.
We can see that triangle ABC and triangle CBE are similar triangles because they share an angle (angle B) and have a common side (BC). Therefore, we can write:
AB/BC = CB/CE
We know that AB = AC - CB = √(AC² - BC²) = √(8² - BC²) and CB = CE - BE = √(CE² - 4²).

Substituting these values in the above equation, we get:
√(8² - BC²)/BC = CB/CE
√(8² - BC²)/BC = √t(CE² - 4²)/CE
Squaring both sides of the equation, we get:
(8² - BC²)/BC² = (CE² - 4²)/CE²
Multiplying both sides by BC² × CE², we get:
(8² - BC²) × CE² = (CE² - 4²) × BC²
64CE² - BC² × CE² = CE² × BC² - 16
80CE² = BC² × CE² + 16
Substituting BC = BE + EC = BE + CE/3 (because triangle CBE is a right-angled triangle), we get:
80CE² = (BE + CE/3)² × CE² + 16
80CE² = (BE×CE + CE³/3)² + 16×CE²
Substituting BE = AB - AE and AB = √(8² - BC²), we get:
80CE⁴ = ((√(8² - BC²) × CE) + (CE/3)³)² + 16×CE²
Substituting BC with √(8² - BC²), we get:
80CE⁴ = ((√(8² - (√(8² - BC²))²) × CE) + (CE/3)³)² + 16×CE²
80CE⁴ = (√64 - BC²) × CE) + (CE/27))² + 16×CE²
80CE⁴ = (64×CE⁴ - BC×BC×CE×CE + 32×√(64-BC×BC)×CE×CE/27 + CE×CE/729) + 16×CE×CE
0 = 64×CE×CE - BC×BC×27×CE×CE + 32×√(64-BC×BC)×27×CE×CE + CE×CE/5
0 = 3200×CE×CE - 27×(BC⁴)×5
Solving for CE, we get:
3200 × CE² = 27 × (8⁴)
3200 × CE² = 27 × (4096)
3200 ×CE² = 110,592
CE² = 110,592 / 3200
CE² = 34.56
CE = 6

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Answer: 4(9+4)

Step-by-step explanation:

(4)(9) = 36

(4)(4) = 16

4(9+4) = 36+16

Answer:To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter

s = (a+b+c)/2

where a, b, and c are the length of the three sides of a triangle

s = (35 + 45 + 50) / 2

  = 130 / 2

  = 65 cm

Area of scalene triangle is given by

A = sqrt (s (s - a) (s - b) (s - c))

   = sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))

   = sqrt (65 * 30 * 20 * 15)

   = sqrt (585000)

   = 764.853 sq cm

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

edge 2020

The function with the greatest constant of variation is function B, x: 1, 2, 3, 4, y: 3.2, 6.4, 9.6, 12.8.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The constant of variation (k) is calculated as k = Δy/Δx for two points on a line.

For Function B, k = (6.4 - 3.2)/(2 - 1) = 3.2, which is the greatest constant of variation among all the functions.

For Function A, x: 8, 9, 10, 11, y: 20, 22.5, 25, 27.5, k = (22.5 - 20)/(9 - 8) = 1.25.

For Function C, on the coordinate plane C, a line goes through points (0, 0) and (3, 1), k = (1 - 0)/(3 - 0) = 1/3.

For Function D, on the coordinate plane D, a line goes through points (0, 0) and (1, 2), k = (2 - 0)/(1 - 0) = 2.

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Answer:

yea

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

cost in dollars (y)

number of shirts (x)

Answer:

3.0233088 x 10 raise to power 7

Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.

Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.

Error control: The identification and correction of errors that occur during the transmission of data is called error control.

Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.

Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.

Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.

All these tasks can be duplicated at different layers.

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The required probabilities for the events in question are:

Based on the parameters given :

Number of red slots = 18

Number of black slots = 18

Number of green slots = 2

Total number of slots = 18+18+2 = 38

A.)

Probability of green slots 2 or more times :

(2/38)² × (36/38)²³ = 0.00080

B.)

Probability of ball not entering the green slots

1 - P(green slots)

P(not entering green slot ) = 1 - 0.0008 = 0.9992

C.)

probability that ball falls into black slot 15 or more times :

(18/38)¹⁵ * (20/38)¹⁰ = \(2.21\times10^{-8}\)

D.)

Probability that ball falls into red slot 10 or less times :

(10/38)¹⁰ * (28/38)¹⁵ = \(1.63\times10^{-8}\)

Therefore, the required probabilities are :

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Answer:

I will win the war again like the last one .....

Answer:e

Step-by-step explanation:

Answer:

5805

Step-by-step explanation:

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning

Candice's proof is a direct proof because it establishes the truth of a statement by providing a logical sequence of steps that directly lead to the conclusion. In a direct proof, each step is based on a previously established fact or an accepted axiom. The proof proceeds in a straightforward manner, without relying on any other alternative scenarios or indirect reasoning.

Candice's proof likely involves stating the given information or assumptions, followed by a series of logical deductions and equations. Each step is clearly explained and justified based on known facts or established mathematical principles. The proof does not rely on contradiction, contrapositive, or other indirect methods of reasoning.

On the other hand, Joe's proof is also a direct proof for similar reasons. It follows a logical sequence of steps based on known facts or established principles to arrive at the desired conclusion. Joe's proof may involve identifying the given information, applying relevant theorems or formulas, and providing clear explanations for each step.

Direct proofs are commonly used in mathematics to prove statements or theorems. They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning. By presenting a direct chain of deductions, these proofs build a solid argument that leads to the desired result, without the need for complex or indirect reasoning.

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y=360

Step-by-step explanation:

y goes up by 30 everytime and would start at 30 if X =1, so X x 30= y. 12 x 30= 360=y

Answer:

300 or B

Step-by-step explanation: give the other person brainliest

The information is not enough to prove that triangles DEF and OPQ are congruent through SAS, as we need two equal side lengths and one angle measure.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The parameters given for this problem are given as follows:

As we are given only one side, instead of the two sides needed, we have that the information given is not enough to prove that the two triangles are congruent by the SAS congruence theorem.

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The product of rational numbers can always be expressed as the ratio of two integers, where the denominator is not zero.

The product of rational numbers can always be written as a rational number. A rational number is defined as the quotient of two integers, where the denominator is not zero. When we multiply two rational numbers, we are essentially multiplying the numerators and denominators separately.

Let's consider two rational numbers, a/b and c/d, where a, b, c, and d are integers and b, d are not equal to zero. The product of these rational numbers is (a/b) * (c/d), which can be simplified as (a * c) / (b * d). Since multiplication of integers results in another integer, both the numerator and denominator are integers.

Furthermore, as long as the denominators b and d are not zero, the product remains a valid rational number.

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We need to solve the following equation:

Notice that x ≠ 1, since x = 1 makes zero the denominators. Then, multiplying all the terms by x-1, we obtain:

Answer:

Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Dos triángulos son similares si cumplen uno de los siguientes criterios. : Dos pares de ángulos correspondientes son iguales. : Tres pares de lados correspondientes son proporcionales. : Dos pares de lados correspondientes son proporcionales y los ángulos correspondientes entre ellos son iguales.

Step-by-step explanation:

The coordinates of M₁, the midpoint of side AC is (-8.5, 7).

The coordinates of M₂, the midpoint of side BC is (-5.5, 7).

The length of the segments that connect M₁ to M₂ is 3 units.

In order to determine the midpoint of a line segment with two (2) end points, we would add each point together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

For line segment AC, we have:

Midpoint of AC = [(-7 - 10)/2, (11 + 3)/2]

Midpoint of AC = [-17/2, 14/2]

Midpoint of AC = (-8.5, 7).

For line segment BC, we have:

Midpoint of BC = [(-7 - 4)/2, (11 + 3)/2]

Midpoint of BC = [-11/2, 14/2]

Midpoint of BC = (-5.5, 7).

In Mathematics, the distance between two (2) end points can be calculated by using the following mathematical equation (formula):

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance M₁M₂ = √[(-5.5 + 8.5)² + (7 - 7)²]

Distance M₁M₂ = √[3² + 0²]

Distance M₁M₂ = √[9 + 0]

Distance M₁M₂ = 3 units.

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The value of R(x) term is 36.

We are given that;

The equation x³ + 2x² - 72x - 28

Now,

We divide the first term, 8x, by the first term of d(x), which is x. This gives us 8, which is the third term of Q(x). We write 8 above the division bar and multiply it by d(x), which gives us 8x - 64. We subtract this from the new dividend, which gives us 36.

Since we cannot divide 36 by x-8 any further, we stop here and write 36 as the remainder R(x).

   x² + 10x + 8

  _______________

x-8 | x³ + 2x² - 72x - 28

    - (x³ - 8x²)

    -------------

        10x² - 72x

      - (10x² -80x)

      -------------

             8x -28

           - (8x -64)

           ----------

                36

Q(x) = x² + 10x + 8 and R(x) = 36.

Therefore, by the equation the answer will be R(x) = 36.

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Answer:

(14, -7)

Step-by-step explanation:

Answer:

Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.572 cm/min.

Step-by-step explanation:

To find the rate at which the diameter of the snowball decreases, we need to relate the surface area and the diameter of the snowball.

The surface area of a sphere is given by the formula:

A = 4πr^2

where A is the surface area and r is the radius of the sphere.

Since the diameter (d) is twice the radius (r), we can write the formula for surface area in terms of the diameter as:

A = π(d/2)^2

A = (π/4)d^2

We are given that the surface area is decreasing at a rate of 9 cm^2/min. So, we can express this rate of change as:

dA/dt = -9

where dA/dt represents the rate of change of surface area with respect to time (t).

To find the rate at which the diameter (d) decreases when the diameter is 10 cm, we need to find dd/dt (rate of change of the diameter with respect to time) when d = 10.

First, differentiate the equation for the surface area with respect to time:

dA/dt = (π/4)(2d)(dd/dt)

-9 = (π/2)(10)(dd/dt)

-9 = 5π(dd/dt)

Now, solve for dd/dt:

dd/dt = (-9)/(5π)

Using a calculator, this simplifies to approximately -0.572 cm/min.

Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.572 cm/min.

Answer:

the  answer  is  1,008  in  all

Step-by-step explanation:

Answer:

√29934 ≈ 173.01

Step-by-step explanation:

The answer to the set (Z ∪ X')' ∩ Y = {a}.

-Since U = {a, f, j, m, p, s, v} and X = {a, j, p, v}, the complement of X, denoted as X', is the set of all elements in U that are not in X. Therefore, X' = {f, m, s}.

-Now, find the union of Z and X'. Z = {f, j, m, p, s} and X' = {f, m, s}. The union of Z and X', denoted as Z ∪ X', is the set of all elements in either Z or X' or both. Thus, Z ∪ X' = {f, j, m, p, s}.

-To find the complement of Z ∪ X', denoted as (Z ∪ X')', we need to find all elements in U that are not in Z ∪ X'. Since Z ∪ X' = {f, j, m, p, s} and U = {a, f, j, m, p, s, v}, (Z ∪ X')' = {a, v}.

-Finally, find the intersection of (Z ∪ X')' and Y. (Z ∪ X')' = {a, v} and Y = {a, f, j}. The intersection of (Z ∪ X')' and Y, denoted as (Z ∪ X')' ∩ Y, is the set of all elements that are in both (Z ∪ X')' and Y. Therefore, (Z ∪ X')' ∩ Y = {a}.

So, the answer is (Z ∪ X')' ∩ Y = {a}.

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The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.

Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :

Number of Compressor Failures Probability (Relative Frequency)

0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.

We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.

As a result, there will be a total of 20 values of X, each representing a year's worth of data.

We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.

The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.

Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.

It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.

Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.

These results are then used to generate probability distributions of potential results.

In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.

1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.

2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.

3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable

4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.

5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.

6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.

After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

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