Find the area.
9 cm


help

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

(a) Mean The mean (or average) of a dataset is calculated by summing up all the values and dividing by the total number of values.

The formula for calculating the mean is: `mean = (sum of values) / (total number of values)`For the given dataset, we have:20, 50, 22, 14, 23, 10

Sum of values = 20 + 50 + 22 + 14 + 23 + 10 = 139

Total number of values = 6Therefore, the mean is given by: `mean = 139 / 6 = 23.17`Answer: 23.17 (rounded to two decimal places)

(b) Median To find the median, we need to arrange the dataset in increasing order:10, 14, 20, 22, 23, 50The median is the middle value of the dataset. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values. Here, we have 6 values, so the median is the average of the two middle values: `median = (20 + 22) / 2 = 21` Answer: 21(e)

Sample variance s²The sample variance is calculated by finding the mean of the squared differences between each value and the mean of the dataset.

The formula for calculating the sample variance is: `s² = ∑(x - mean)² / (n - 1)`where `∑` means "sum of", `x` is each individual value in the dataset, `mean` is the mean of the dataset, and `n` is the total number of values.For the given dataset, we have already calculated the mean to be 23.17.

Now, we need to calculate the squared differences between each value and the mean:

20 - 23.17 = -3.1722 - 23.17

= -1.170 - 23.17

= -13 - 23.17

= -9.1723 - 23.17

= -0.1710 - 23.17

= -13.17

The sum of the squared differences is given by:

∑(x - mean)² = (-3.17)² + (-1.17)² + (-13.17)² + (-9.17)² + (-0.17)² + (-13.17)²

= 867.7959

Therefore, the sample variance is given by: `s² = 867.7959 / (6 - 1) = 173.5592`Answer: 173.5592 (rounded to four decimal places)

The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

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Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Answer:

Just multiply and divide the parallel sides.

Step-by-step explanation:

Answer:

x<-11

Step-by-step explanation:

Answer: the y-intercepts are -1 and 1

Step-by-step explanation:

use a graphing calculator to graph it and look at the x coordinates or you could substitute x for 0 and solve for y.

example: 0=y^2-1

Answer:

-13

Step-by-step explanation:

42-55=-13

Answer: 47.15 miles.

Bob drove 47.15 miles.

To find how much Bob drove simply divide the total distance 188.60 miles by 4.

188.60/4 = 47.15

The algebraic expression can be written as: 42₂(3/4)x + 2O(4/3 ÷ 2O) - 2O(3/4 × 2) where x represents the unknown number.

In general, an expression is a combination of symbols, numbers, and operators that represent a value or a result. In computer programming, an expression is a sequence of operands and operators that can be evaluated to produce a value. An operand is a value or variable that is used as part of the expression, while an operator is a symbol that performs an operation on one or more operands. Examples of operators include arithmetic operators like addition (+), subtraction (-), multiplication (*), and division (/), as well as comparison operators like equals (=) and not equals (!=). Expressions can be simple or complex, depending on the number of operands and operators involved. Examples of simple expressions include "5 + 3", "x", and "true".

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Answer:

Step-by-step explanation:

\(i^{100} - i^{80}=i^{2*50} -i^{2*40}\\\\=(i^{2})^{50}-(i^{2})^{40}\\\\=(-1)^{50}-(-1)^{40}\\\\\)

= 1 - 1

= 0

a. When evaluating a model, we use R2 as a parameter for performance assessment.

b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.

c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.

When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.

The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.

When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.

Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.

Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.

It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.

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Answer:

y−7=2/3⋅(x-5)

Step-by-step explanation:

Find the point-slope form.

Answer:

2x + 3y = -21

Step-by-step explanation:

Parallel lines have same slope.

2x + 3y = -21

      3y = - 2x - 21

y = \(y = \dfrac{-2}{3}x-\dfrac{21}{3}\\\\y=\dfrac{-2}{3}x-7\)

Each friend will paint 1/4 or one-fourth of the wall's area.

Since the wall is divided into four equal sections and each friend will paint one section, we can determine the unit fraction of the wall's area that each friend will paint by considering the total number of sections.

Since the wall is rectangular, dividing it into four equal sections means each section represents 1/4 of the total area. Therefore, each friend will paint 1/4 or one-fourth of the wall's area.

To express this as a unit fraction, we can write it as 1/4.

So, each friend will paint 1/4 or one-fourth of the wall's area. This means that if we divide the wall into four equal parts, each friend's section will have an equal area of 1/4 of the total wall area.

This division ensures that each friend has an equal share of the painting task, with each one responsible for painting one-fourth or 25% of the wall's total area.

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Answer:

x = g+y/c

Step-by-step explanation:

g = xc - y

xc - y = g

xc = g + y

x/c = g + y/c

x = g+y/c

Answer:

27 feet squared

Step-by-step explanation:

You're given the area of the circle formula which is pi times radius squared.

We are given that the radius of the circle is 3.

3 squared is 9.

Do 3.14 or pi multiplied by 9 Originally but your directions tell you to use 3 as pi.

**It's simplified down to 3 x 9 because the directions tell you to use 3 as pi.**

The area is 27ft^2

Answer: 13

Step-by-step explanation:

By estimating the Q-function directly using Q-learning and updating it based on observed samples, we bypass the need to explicitly estimate the transition and reward functions. This approach allows us to learn the optimal policy without prior knowledge of the underlying dynamics of the MDP.

In Q-learning, the Q-function estimates the expected cumulative reward for taking a particular action in a given state. It is updated iteratively based on the agent's experiences. In this scenario, although we do not know the transition and reward functions, we can still use Q-learning to directly estimate the Q-function.

We initialize the Q-values arbitrarily for each state-action pair. Then, the agent interacts with the environment, taking actions and observing the resulting states and rewards. With these samples, we update the Q-values using the Q-learning update rule:

Q(s, a) = Q(s, a) + α [r + γ max(Q(s', a')) - Q(s, a)]

Here, Q(s, a) represents the Q-value for state s and action a, r is the observed reward, s' is the next state, α is the learning rate, and γ is the discount factor.

We repeat this process, updating the Q-values after each interaction, until convergence or a predetermined number of iterations. The Q-values will eventually converge to their optimal values, indicating the optimal action to take in each state.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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We are given the solid e bounded by the surfaces y = 4 - x^2 z^2 and y = 0. We need to express the integral ∭e f(x, y, z) dV as an iterated integral in the order dz dy dx.

To set up the limits of integration, we need to find the bounds for z, y, and x. Since the solid is bounded below by the xy-plane (y = 0) and above by the surface y = 4 - x^2 z^2, we have 0 ≤ y ≤ 4 - x^2 z^2.

Since we are integrating with respect to z first, we need to find the bounds for z in terms of x and y. Solving for z in the equation y = 4 - x^2 z^2, we get z = ±√(4 - y)/x^2. Since the solid is bounded by the surfaces y = 4 - x^2 z^2 and y = 0, we only need to consider the positive square root, so we have 0 ≤ z ≤ √(4 - y)/x^2.

Finally, since we are integrating with respect to y next, we need to find the bounds for y in terms of x. The solid is symmetric about the yz-plane, so we can integrate over the half of the solid where x ≥ 0 and multiply by 2.

We have 0 ≤ y ≤ 4 - x^2 z^2, and since 0 ≤ z ≤ √(4 - y)/x^2, we have 0 ≤ y ≤ 4x^2.

Thus, the integral becomes:

∫∫∫e f(x, y, z) dV = ∫0^∞ ∫0^(4x^2) ∫0^√(4 - y)/x^2 f(x, y, z) dz dy dx

where e = {(x, y, z) | 0 ≤ z ≤ √(4 - y)/x^2, 0 ≤ y ≤ 4 - x^2 z^2, x ≥ 0}.

Note that we have integrated in the order dz dy dx.

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The greatest common divisor (24,6) is 6 and the least common multiple (24,6) is 24.

As per the question statement, the greatest common divisor of two integers is (x+2) and the least common multiple x(x+2). It is given that one of the integers is 24.

Let us assume that "b" is the value of other one.

greatest common divisor(24,b) = (x+2)

least common multiple(24,b) = x(x+2)

Formula:

greatest common divisor(24,b)*least common multiple(24,b) = 24*b

24*b = (x+2)*x(x+2)

\(b = \frac{x(x+2)^{2} }{24} \\\)

Hence, the smallest possible value of the other one is "6" and x = 4.

Hence, the greatest common divisor (24,6) is 6 and the least common multiple (24,6) is 24.

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Answer:

Add 11/56

Step-by-step explanation:

3/7 = 24/56 (×8)

5/8 = 35/56 (×7)

35/56 - 24/56 = 11/56

Answer:

The answer is x=20

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

(x+21)+(2x+9)=90

x + 21 + 2x + 9 = 90

combine numbers on left side:

x + 30 + 2x = 90

combine x terms on left side:

3x + 30 = 90

subtract 30 from both sides:

3x + 30 -30 = 90 - 30

3x  = 60

divide  both sides by 3:

3x/3  = 60/3

x = 20

Answer:

6:4 can be divided by 2 to make its simplest form of 3:2 and 18:8 can also be divided creating its simplest from of 9:4 so therefore they are not eqvalant ratios

Answer:

1 . x(x+1)
2.(3a-1)(5a+8)
3.(4x + 3y) ( 3x - 3y)
4.(a+b)

The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Let the given points as shown:

(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)

Slope = m = (y2-y1) /( x2-x1)

                 = (-6-6) /(-9-(-5))

                 = -12/-4

                 = 3

So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

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Answer:

2w+12

Step-by-step explanation:

twice a number: doubled or multiplied by 2

Increased: means to add

Hopes this helps please mark brainliest

Answer:

W2+12

Step-by-step explanation:

twice a number means to multiply by two

increased by 12 means to add 12

so W2+12 is the answer

It is not recommended to read an LIA (Line Immunoassay) result early because it may lead to inaccurate or false results. LIA tests rely on a specified incubation time for proper reaction between the sample and the test reagents.

It is not recommended to read an LIA (Line Immunoassay) result early. This is because the results of an LIA test may not be accurate until the recommended waiting period has passed, which is typically 20-30 minutes after the test is performed. Reading the result early may lead to incorrect interpretations, false negatives, or false positives, which could cause unnecessary anxiety, confusion, or wrong medical decisions. It is crucial to follow the manufacturer's instructions and guidelines carefully and wait for the appropriate time to read the test result accurately.

We should not read an LIA (Lateral Flow Immunoassay) result early because it may lead to inaccurate or false results. LIA tests rely on a specified incubation time for proper reaction between the sample and the test reagents. Reading the result too early can cause false negatives or false positives, which could impact critical decision-making related to diagnosis or treatment. It is crucial to follow the manufacturer's recommended waiting time to ensure accurate and reliable results.

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By the principle of mathematical induction, we will show that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input.

To prove that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input using induction, we will need to show two things:

1. Base case: The algorithm returns the correct value for n = 1.

Base case: When n = 1, the algorithm returns 1^3, which is the correct value for the sum of the cubes of the first positive integer. Therefore, the base case is true.

2. Inductive step: Assume that the algorithm returns the correct value for some positive integer k, and show that it also returns the correct value for k + 1.

Inductive step: Assume that the algorithm returns the correct value for some positive integer k, i.e., SumCube(k) returns 1^3 + 2^3 + ... + k^3.

We need to show that the algorithm also returns the correct value for k + 1, i.e., SumCube(k + 1) returns 1^3 + 2^3 + ... + (k + 1)^3.

Using the recursive definition of the algorithm, we have:

SumCube(k + 1) = (k + 1)^3 + SumCube(k)

By the induction hypothesis, we know that SumCube(k) returns the correct value, so we can substitute it into the above equation to get:

SumCube(k + 1) = (k + 1)^3 + (1^3 + 2^3 + ... + k^3)

Expanding (k + 1)^3, we get:

SumCube(k + 1) = k^3 + 3k^2 + 3k + 1 + (1^3 + 2^3 + ... + k^3)

Simplifying the right-hand side, we get:

SumCube(k + 1) = 1^3 + 2^3 + ... + k^3 + (k^3 + 3k^2 + 3k + 1)

We recognize the last term as (k + 1)^3, so we can substitute it in to get:

SumCube(k + 1) = 1^3 + 2^3 + ... + k^3 + (k + 1)^3

which is the correct value for the sum of the cubes of the first (k + 1) positive integers. Therefore, the inductive step is true.

By the principle of mathematical induction, we have shown that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input.

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