In ΔBCD, \overline{BD}
BD
is extended through point D to point E, \text{m}\angle BCD = (2x-1)^{\circ}m∠BCD=(2x−1)
∘
, \text{m}\angle CDE = (7x-19)^{\circ}m∠CDE=(7x−19)
∘
, and \text{m}\angle DBC = (x+10)^{\circ}m∠DBC=(x+10)
∘
. Find \text{m}\angle CDE.m∠CDE.

A quadrilateral whose diagonals do not always bisect each other is a rectangle.

A rectangle is a quadrilateral with four right angles. The diagonals of a rectangle are perpendicular to each other and bisect each other, but not all quadrilaterals with perpendicular diagonals and diagonals that bisect each other are rectangles. For example, a square is a type of quadrilateral with perpendicular diagonals and diagonals that bisect each other, but it has four congruent sides and four right angles, unlike a rectangle.

The word "rectangle" comes from the Latin words "rectus," meaning "right," and "angulus," meaning "angle." This reflects the fact that a rectangle has four right angles.

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The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.

An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.

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Answer:

2e-11

Step-by-step explanation:

Answer:

110/8  13.75  for 1 litres 13.75*20 275

 it travels 275 km on 20 litres

y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

Answer:

$10, $30.40

Step-by-step explanation:

Answer:

6 or 7 depends if you simplify

Step-by-step explanation:

Answer:

2n^4

Step-by-step explanation:

462⋅−2

*

Cancel terms that are in both the numerator and denominator.

*

4n6

-----   ⋅ n−2

2  

*

26 ⋅ −2

*

Combine exponents.

*

2n^4

Hope this helped:D

The data value that is an outlier is 67

The dataset is given as:

83, 84, 85, 87, 89, 88, 67, 79, and 81

To determine the outlier, we select the data values that are relatively far from others

In the above dataset, the data element 67 is far from other data values

Hence, the data value that is an outlier is 67

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Work Shown:

A = pi*r^2

A = 3.14 * 10^2

A = 3.14 * 100

A = 314 square inches

This value is approximate since pi = 3.14 is approximate.

The area of the circle is :

Work:

To calculate the circle's area, I will use the formula

\(\sf{C=\pi r^2}\)

Diagram:

\(\setlength{\unitlength}{1.1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 10\ inches}\end{picture}\)

Plug in the values :

      \(\begin{gathered}\sf{A=3.14\times10^2}\\\\\sf{A=3.14\times100}\\\\\boxed{\boxed{\bf{A=314\:in^2}}}\end{gathered}\)

In this cases, The two angles of elevation are 36° and 144°

To find the two angles of elevation for a projectile to reach a target 13 km downrange with an initial speed of 425 m/sec, we can use the projectile motion formula:

range (R) = (v² * sin(2 * angle)) / g

where v is the initial speed (425 m/sec), angle is the angle of elevation, and g is the acceleration due to gravity (approximately 9.81 m/s²).

We need to solve for angle.

First, convert the range to meters:

13 km = 13,000 m.

Next, plug the values into the formula:

13,000 = (425² * sin(2 * angle)) / 9.81

Now, solve for angle:

sin(2 * angle) = (13,000 * 9.81) / 425²

sin(2 * angle) ≈ 0.7387

Now, find the two angles using the arcsin function:

2 * angle = arcsin(0.7387)

angle = 0.5 * arcsin(0.7387)

There are two angles that will result in the same range:

angle_1 = 0.5 * arcsin(0.7387)

angle_2 = 180 - angle_1

Calculating the values:

angle_1 ≈ 36° angle_2 ≈ 144°

So, the two angles of elevation that will enable a projectile to reach a target 13 km downrange on the same level as the gun with an initial speed of 425 m/sec are approximately 36° and 144°.

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The performance of the forecasting model using exponential smoothing with an initial smoothing constant of 0.35 can be evaluated by calculating the sum of squared errors (SSE) index between the forecasted demand for January 2021 and the actual demand for that month in order to assess the accuracy of the forecast.

To forecast demand for January 2021 using exponential smoothing with a smoothing constant of 0.35, we need to calculate the forecasted value based on the previous data.

The formula for exponential smoothing is:

\(F(t) = \alpha \times Y(t) + (1 - \alpha) \times F(t-1)\)

Where:

F(t) is the forecasted value at time t,

Y(t) is the actual value at time t,

F(t-1) is the forecasted value at time t-1,

and α is the smoothing constant.

Given the historic monthly figures for 2020, we can calculate the forecast for January 2021 as follows:

F(Jan 2021) = 0.35 \(\times\) 39.7 + (1 - 0.35) \(\times\) F(Dec 2020)

Now, let's calculate the forecasted value for December 2020:

F(Dec 2020) = 0.35 \(\times\) 42.1 + (1 - 0.35) \(\times\) F(Nov 2020)

Continuing this process, we can calculate the forecasted value for each month until we reach January 2021.

Using this approach, we obtain the forecasted value for January 2021 as follows:

\(F(Jan 2021) = 0.35 \times 39.7 + (1 - 0.35) \times [0.35 \times 42.1 + (1 - 0.35) \times [0.35 \times 50.2 + (1 - 0.35) \times [0.35 \times 40.4 + (1 - 0.35) \times ...]]]\)

To evaluate the performance of the forecasting model using the Sum of Squared Errors (SSE) index, we need to compare the forecasted values to the actual values.

\(SSE = (Y(t) - F(t))^2\)

Where:

SSE is the Sum of Squared Errors,

Y(t) is the actual value at time t,

F(t) is the forecasted value at time t.

For each month, we calculate the squared difference between the actual value and the forecasted value, and then sum up all these squared differences to obtain the SSE index.

By comparing the SSE index to the SSE values of alternative models or previous periods, we can assess the performance of the forecasting model.

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Based on the information we can infer that the complementary angles are those of options A, B, and C.

To identify complementary angles we must take into account that they must add up to 180°. In this case we do not have the measures of the angles but we know that an angle of 180° is a straight line, so the complementary angles would be those that form a straight line.

According to the above, the complementary angles of this graph would be:

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The right answer is a) self-awareness. Self-awareness is the ability to be conscious of your feelings and emotions.

Self-awareness may help you enhance your social interactions and develop healthy relationships with others. In addition, self-awareness assists you in understanding how others perceive you.

Emotional self-awareness is the ability to understand and recognize one's feelings and the impact they have on their behavior. By being emotionally self-aware, you can better regulate your emotions and improve your relationships with others. It's also crucial for assisting you in making decisions based on your instincts.

The right answer is a) self-awareness.

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The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.

In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:

0= -4.87t² + 18.75t.

4.87t(-t + 3.85) = 0

t = 0 or t = 3.85.

Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).

h(t) = -4.87t² + 18.75t

h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)

h(t) = -4.87(t - 1.925)² + 18.05

Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).

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Answer:

A on EDGE 2022

Step-by-step explanation:

To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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Answer:

k <−33

Step-by-step explanation:

Answer:

C has no solution

Step-by-step explanation

A. x=7, y=8

B. x=2/3 +1/3

Using the law of sines, supposing C = 30º, the angle of each observer with the sailboat is:

Suppose we have a triangle in which:

The lengths and the sine of the angles are related according to the following rule:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

The measure of angle B is found as follows:

sin(B)/10 = sin(C)/20

sin(B)/10 = 0.5/20 (sin(C) = 0.5)

sin(B) = 5/20

sin(B) = 0.25

B = arcsin(0.25)

B = 14º.

The measure of angle A is found as follows:

sin(A)/25 = sin(C)/20

sin(A)/25 = 0.5/20 (sin(C) = 0.5)

sin(A) = 12.5/20

sin(A) = 0.625

A = arcsin(0.625)

A = 136º.

The problem is incomplete, hence we suppose that the angle C is of 30º and problem asks for the angle measure of each angle.

(drawing is not to scale).

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Answer:

a. $70.43

b. 23.43 + 13.92 + 32.98 = t (UNSURE)

Step-by-step explanation:

Since Mrs. Thomas is driving 231 miles using 23 miles per gallon, let's start by dividing 231 by 23

\(\frac{231}{23} = 10.043....\)

We need to round 10.043... to 11 because you can't get part of a gallon.

Now, we need to multiply 2.13 by 11 to get the total amount of money for gasoline.

\(11 * 2.13 = 23.43\)$

We also have the aditional meal expenses, which are $13.92 and $32.98.

We can use an equation to solve. Our total amount will be represented by t.

\(23.43 + 13.92 + 32.98 = t\)

\(t = 70.43\)

Hope this helps! Part b seems a bit confusing. I'll fix my answer if you could clarify, like if I do "communative property" or write equation. :))

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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A function's domain is the set of all possible inputs to the function. Domains can be limited if the function is rational and the denominator is 0 for some x value or values.

What are the 3 domain restrictions?

The square root function, log function, and reciprocal function are the three functions with limited domains. Because you cannot take square roots of negative numbers and produce real numbers, the square root function has a limited domain.

To find the domain restriction of an expression, take the expression's denominator. Put that denominator to zero. Solve the resulting equation for the denominator zeroes. The domain consists of all other x-values.

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Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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The derivative of the function 4 / x - 1 / y = 3 is equal to y' = 4 / (4 - 3 · x)².

In this problem we must use two differentiation methods in a function to obtain its first derivative. These methods are (i) explicit differentiation and (ii) implicit differentiation. Each procedure is described below:

Explicit differentation

Implicit differentiation

Explicit differentiation

Step 1

4 / x - 1 / y = 3

1 / y = 4 / x - 3

1 / y = (4 - 3 · x) / x

y = x / (4 - 3 · x)

Step 2

y' = [(4 - 3 · x) - x · (- 3)] / (4 - 3 · x)²

Step 3

y' = 4 / (4 - 3 · x)²

Implicit differentiation

Step 1

- 4 / x² + [1 / (y²)] · y' = 0

Step 2

(1 / y²) · y' = 4 / x²

Step 3

y' = 4 · y² / x²

Step 4

y' = 4 · [x / (4 - 3 · x)]² / x²

y' = 4 / (4 - 3 · x)²

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Answer: The Philadelphia Eagles tried to blow a 19-point lead to the Chicago Bears, but managed to hold on for a 22-14 victory in a rematch of the NFC Wild Card Game to move to 5-4 on the year. Philadelphia allowed the Bears to score 14 unanswered points after taking a 19-0 lead in the third quarter, but put together one of their most impressive drives of the season in taking 8:14 off the clock in the fourth quarter, converting four consecutive third downs in the most critical junction of the game.

Chicago never got the ball back after Jake Elliott hit a 38-yard field goal with 26 seconds left to make it 22-14. Bears tight end Adam Shaheen muffed the catch on the kickoff and the Eagles recovered to deny Chicago a last ditch effort for a Hail Mary and an attempt to tie the game with a two-point conversion.

Jordan Howard scored a touchdown in his first game against his former team, finishing with 19 carries for 82 yards and a touchdown. Zach Ertz had his best game of the season as the Eagles tight end had nine catches for 103 yards and a touchdown, a 25-yard catch for his second score of 2019.

The Bears had just nine total yards in the first half, but rallied back in this game with two scoring drives in three possessions between the third and fourth quarter. Chicago's offense had no turnovers, but finished with just 164 yards of offense. Mitchell Trubisky went 10 of 21 for 125 yards with no touchdowns and a 66.6 passer rating. The Bears have lost their fourth consecutive game after a 3-1 start to the season, falling to 3-5 and remaining in last place in the NFC North.

Step-by-step explanation:

The number of points scored by the eagles is 19 points.

Suppose the points scored by the bears, eagles, and cowboys are x, x+2, x+4 respectively.

It is given the product of the points scored by the bears and cowboys was 37 more than the 8 times the sum of the points scored by the eagles and cowboys.

This means, x(x+4) =37+8(x+2+x+4)

x(x+4) =37+8(2x+6)

\(x^{2} +4x = 37+16x+48\)

\(x^{2} -12x-85=0\), which is a quadratic equation.

Any equation in the form \(ax^{2} +bx+c=0\) is called a quadratic equation where \(a\neq 0\).

\(x^{2} -17x+5x-85=0\)

\(x(x-17)+5(x-17)=0\)

\((x-17)(x+5)=0\)

\(x=17\)

So, eagles scored x+2 = 17+2 =19 points.

Therefore, The number of points scored by the eagles is 19 points.

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Points $a$, $b$, $c$, and $d$ are the midpoints of the sides of the larger square. If the larger square has an area of 60, the smaller square's area is 15 square units.

A square's midpoints connect, making it possible to divide the square into four equal squares. Each of these four squares has a side length of half that of the larger square.

Consider the fact that the area of the larger square is 60, with sides of $s$ units. \($s^2=60$\\\). Now, the smaller square is created by connecting the midpoints of the larger square. Each side of the smaller square has a length of \($s/2$\) units.

Since the area of a square is \($s^2$\), the area of the smaller square is \($\left(\frac{s}{2}\right)^2$\). Simplifying gives \($\left(\frac{s}{2}\right)^2=\frac{s^2}{4}$\). So, the area of the smaller square is \($\frac{1}{4}$\) of the larger square's area.

We know that the area of the larger square is 60. Therefore, the area of the smaller square is \($\frac{1}{4}$\) (60) = 15 square units.

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Answer:

See below

Step-by-step explanation:

3 (x^2 + 3x) = 4

3 ( x + 3/2)^2   = 4 + 27/4  

Well, it’s pretty obvious as the it‘s basically 23-5