5. What is the volume of the right triangularprism?A. 93.3 mC. 280 mB. 140.3 mD. 560 m4 m10 m14 m

Answer:

The solution of this system is (2, 5)

Step-by-step explanation:

Negate each term of the 2nd equation.  We get:

-18x + 6y = -6

 24x - 6y = 18

Combining like terms, we get

 6x = 12, from which we know that x = 2.

Substituting 2 for x in the first equation, we get

-18(2) + 6y = -6, which simplifies to 6y = 30.  Thus, y = 5.

The solution of this system is (2, 5)

EXPLANATION

Given the system of equations:

(1) 3x + 5y = -17

(2) 2x + 4y = 6

Multiplying (1) by 2 and (2) by 3:

(1) 6x + 10y = -34

(2) 6x + 12y = 18

Subtracting (2) to (1):

(2) 6x + 12y = 18

-

(1) 6x + 10y = -34

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

2y = 52

Dividing both sides by 2:

y = 52/2

Simplifying:

y = 26

Simplify:

Divide both sides by 6:

Simplify:

The solutions to the system of equations are:

Answer:

a.) 98°

Step-by-step explanation:

Angle 5 and angle 8 (82°) are supplementary angles. This means that their sum will make a straight angle of 180°. Make an equation:

\(82+x=180\)

Solve for x, the value of angle 5:

\(x=180-82\\\\x=98\)

Angle 5 has a  measure of 98°.

Now we know the measure of angle 5. Angle 4 and angle 5 are alternate interior angles, so they are congruent. Therefore, angle 4 has a measure of 98°.

:Done

The tiles to match the descriptions are;

Hull house - Neighbourhood assistance.

Muckrakers - Investigative journalists.

Protestants - Temperance movement.

Women's suffrage - Nineteenth amendment.

The Progressive Era, which encompassed the years between the 1890s and the 1920s in US history, was one of intense social and political reform with the goal of advancing the creation of a better society.

Case 1: The settlement home that welcomed newly arrived European immigrants to the United States in 1889 is known as Hull House. There were also social, educational, and artistic initiatives for immigrants in this building.

Case 2: Muckrakers A name used to describe a group of North American journalists in the early 20th century who made public criticisms of: government corruption, abuse of labor is destructive to society and is committed by influential people or institutions of the time.

Case 3: Third, the term "Protestantism" is used to describe a variety of 16th-century religious movements. Because the Catholic Church had a different understanding of the Bible's holy texts, this movement was distinguished by its break with it.

Case 4: The 19th Amendment to the United States Constitution, which was adopted in June 1919, guaranteed every American woman the right to vote.

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The complete question is-

Think about what you learned about the events during the Progressive time period. Drag and drop the tiles to match the

descriptions                        

Tiles;

Hull House

Muckrakers

Protestants

Women's Suffrage

Pairs;

Investigative journalists

Temperance Movement

Neighbourhood assistance

Nineteenth Amendment

z >1 for the given inequality for x.

To solve the following inequality for x.

-26 + 13z + 2 > 2 132

Since there is no x in this I'm assuming we are looking for z

Step 1: Simplify both sides

15r - 26 > -13z + 2

Step 2: Add 13z to both sides

15r - 26 + 13z > -13z + 2 + 13z

28 - 26 > 2

Step 3: Add 26 on both sides

28 - 26 + 26 > 2 + 26

28z > 28

Step 4: Divide both sides by 28z / 28 > 28 / 28

z > 1

Hence the answer is z >1 for the given inequality for x.

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-1 is the z-score corresponding to a raw score of 32 from a population.

To find which Z-score could correspond to a raw score of 32 from a population with a mean of 33, we can use the Z-score formula, which is:

Z = (X - μ) / σ

Where:

Z is the Z-score

X is the raw score

μ is the population mean

σ is the population standard deviation

First, we need to know the Z-score corresponding to the raw score of 33 (since that is the population mean). Then, we can use that Z-score to find the Z-score corresponding to the raw score of 32.

Here's how to solve the problem:

Z for a raw score of 33:

Z = (X - μ) / σ

Z = (33 - 33) / σ

Z = 0 / σ

Z = 0

This means that a raw score of 33 has a Z-score of 0.

Now we can use this Z-score to find the Z-score for a raw score of 32:

Z = (X - μ) / σ

0 = (32 - 33) / σ

0 = -1 / σ

σ = -1

This tells us that the Z-score corresponding to a raw score of 32 from a population with a mean of 33 is -1.

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Answer:

a) {-1, 4}

b) {-1, 1, 2, 3, 4, 5, 7, 8}

Step-by-step explanation:

a) The intersection of M and D is all values in M that are also in D. In this case, it is only -1 and 4.

{-1, 4}

b) The union of M and D are all of the distinct numbers in both of the sets.

{-1, 1, 2, 3, 4, 5, 7, 8}

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

-2.5

Step-by-step explanation:

-2.5 < 1.5

Answer:

1.5

Step-by-step explanation:

because it is basic decimals 1.5 would be 15 while 2.5 will be 25

The Probability that no person is next to their partner is 104/105.

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

Permutations is defined as arrangement of elements/objects in a particular way.

According to the question ,

8 people can be arranged in 8! ways = 40320ways

First let us find the probability that person is next to their partner.

4 couples can be arranged in 4! ways

and the couple itself can be arranged in 2! ways

Since there are 4 couples ,

Number of arrangement = \(4!(2!)^{4}\)

=24x16

=384 ways

Probability that person is next to their partner = \(\frac{384}{40320} =\frac{1}{105}\)

and the probability that no person is next to their partner is \(1-\frac{1}{105} =\frac{104}{105}\).

Therefore , the probability that no person is next to their partner is \(\frac{104}{105}\).

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Answer:

480 duh

Step-by-step explanation:

Answer: 254.34

Step-by-step explanation:

The equation for area is: \(r^{2} * \pi\)

So you find  9 squared which is 81. Then, you multiply it by pi(using 3.14). This equals 254.34

Answer:

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because.

STep-by-step                                            Ihave a felling its b

The range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

If we are given a mapping that represents a relation, the input values (x-values) make up the domain of the relation while the output values (y-values) make up the range of the relation.

In the mapping shown in the diagram attached below, we have the following:

The domain of the relation is: {-1, 0, 1, 2, 3}

The range of the relation is: {3, 5, 11, 21}

Thus, we can conclude that, the range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

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On solving the provided question, we can say that - by doing the equation we have 70 adult tickets were sold. and 130 children's tickets were sold.

An algebraic equation of the form y=mx+b, where m denotes the slope and b the y-intercept, is known as a linear equation. When y and x are variables, the aforementioned is referred to as a "linear equation in two variables." Bivariate linear equations are defined as linear equations with two variables. 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples of linear equations.

Total: $610, quantity: 200, adult: $5, number of children: x, child: $2

Price:\(5x + 2y = 610\)

Quantity: 200 when x plus y.

\(2(x + y = 200) 2x - 2y = -400 1(5x + 2y = 610) 5x + 2y = 610\\3x + 0 = 210\\ x = 70.\)

In either the Cost or Quantity equation, substitute "x = 70":

\(x + y = 200 70 + y = 200 y = 130\)

70 adult tickets were sold.

130 children's tickets were sold.

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The speed of the ball as it left the bat is 121.904 ft/s.

Here I attached the answer

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Answer:

x<−3

Step-by-step explanation:

hope this works

Answer:

where is the polynomial (?)

Step-by-step explanation:

Answer:

(5,-2)

Step-by-step explanation:

The random variable "the number of cups of coffee sold in a cafeteria during lunch" is discrete.

This is because the variable can only take on integer values, such as 0, 1, 2, 3, and so on. It is not possible to sell a fraction of a cup of coffee, which is what would make it a continuous variable.

A discrete random variable has a finite or countably infinite number of possible outcomes, and each outcome has a non-zero probability.

In contrast, a continuous random variable can take on any value within a certain range, and the probabilities are described by a probability density function.

In this case, since the number of cups of coffee sold can only take on whole number values, it is a discrete random variable.

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Answer:

I think it is A

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

\(\underline{\underline{\purple{\huge\sf || ꪖꪀᦓ᭙ꫀ᥅}}}\)

Let's use "d" to represent the number of chewy toys for dogs, and "c" to represent the number of collars for cats.

The total cost of the chewy toys and collars cannot exceed the $48 budget, so we can write the inequality:

2d + 6c < 48

This is the standard form of the inequality. To graph it, we can first rewrite it in slope-intercept form by solving for "c":

6c < -2d + 48

c < (-2/6)d + 8

c < (-1/3)d + 8

This inequality represents a line with a slope of -1/3 and a y-intercept of 8. We can graph this line by plotting the y-intercept at (0, 8) and then using the slope to find additional points.

To determine which side of the line to shade, we can test a point that is not on the line, such as (0, 0):

2d + 6c < 48

2(0) + 6(0) < 48

0 < 48

Since the inequality is true for (0, 0), we know that the region below the line is the solution. We can shade this region to show that any combination of d and c below the line will satisfy the inequality.

The value of  \(125x^3 + 27y^6z^9\) factors to \((5x + 3y^2z^3)(25x^2 - 15xy^2z^3 + 9y^4z^6).\) and option D is the correct answer.

In algebra, there are two opposing operations: factoring and expanding. In order to create a longer and more complex expression, expanding entails multiplying out expressions. On the other hand, factoring entails dissecting a complicated expression into smaller factors.

In conclusion, factoring entails division whereas expanding involves multiplication.

To factor \(125x^3 + 27y^6z^9\), we can use the sum of cubes formula:

\(a^3 + b^3 = (a + b)(a^2 - ab + b^2)\)

In this case, a = 5x and \(b = 3y^2z^3\):

Simplify the expression by using the identity and rearranging the expression to get the desired output:

\(125x^3 + 27y^6z^9 = (5x)^3 + (3y^2z^3)^3\\= (5x + 3y^2z^3)((5x)^2 - (5x)(3y^2z^3) + (3y^2z^3)^2)\\= (5x + 3y^2z^3)(25x^2 - 15xy^2z^3 + 9y^4z^6)\)

Therefore, \(125x^3 + 27y^6z^9\) factors to \((5x + 3y^2z^3)(25x^2 - 15xy^2z^3 + 9y^4z^6).\) Hence, option D is the correct answer.

2. The difference of cubes is given by the equation

8x¹⁵ - 125y³

The expression can be written as:

(2x⁵)³ - (5y)³

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The amount of money that can be expected to be saved is $166,140. f(x, y) = -3x'y' - 5xy', and ∂f/∂x = -3(y')(dx'/dy) - 5y(d/dx)(x), and ∂f/∂y = -3(x')(dy/dx) - 5x(d/dy)(y).

Suppose you graduate, begin working full time in your new career and invest $1,300 per month to start your own business after working 10 years in your field.

Assuming you get a return on your investment of 6.5%, the amount of money that can be expected to be saved can be calculated as follows:

Yearly Investment = $1,300 × 12 months= $15,600

Per Annum Return on Investment = 6.5%

Therefore, Annual Return on Investment = 6.5% of $15,600= 0.065 × $15,600= $1,014

Total Amount of Investment = $1,300 × 12 × 10= $156,000

Total Amount of Interest = 10 × $1,014= $10,140

Total Amount Saved = $156,000 + $10,140= $166,140.

Hence, the amount of money that can be expected to be saved is $166,140.

Given f(x, y) = -3x'y' - 5xy', we can find f as follows:

For a given function, f(x, y), partial differentiation is obtained by keeping one variable constant and differentiating the other.

Using the above method, let's find ∂f/∂x

First, we differentiate f(x, y) with respect to x by assuming y to be constant. Here is the step-by-step approach:

∂f/∂x = -3(y')(d/dx)(x') - 5y(d/dx)(x)

Since x is a function of y, we use the chain rule for differentiation to differentiate x.

Therefore, (d/dx)(x') = dx'/dy

Substituting the value of (d/dx)(x') in the above equation, we get

∂f/∂x = -3(y')(dx'/dy) - 5y(d/dx)(x)

Now, we differentiate f(x, y) with respect to y by assuming x to be constant. Here is the step-by-step approach:

∂f/∂y = -3(x')(d/dy)(y') - 5x(d/dy)(y)

Since y is a function of x, we use the chain rule for differentiation to differentiate y.

Therefore, (d/dy)(y') = dy/dx(d/dy)(y') = d/dx(x)

Substituting the value of (d/dy)(y') in the above equation, we get

∂f/∂y = -3(x')(dy/dx) - 5x(d/dy)(y)

Hence, f(x, y) = -3x'y' - 5xy', and ∂f/∂x = -3(y')(dx'/dy) - 5y(d/dx)(x), and ∂f/∂y = -3(x')(dy/dx) - 5x(d/dy)(y).

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Answer:

3.162

Step-by-step explanation:

on a calculator type in sqrt of 10 and round it to three decimal places

Answer:

Step-by-step explanation:

|x| fails the horizontal line test, so these two functions as presented are NOT inverses of one another.

However, if we look ONLY at x < 0, the functions ARE reciprocals; a horizontal line passes through the graph of |x| only once.

The angle of elevation of the sun is 38.24 degrees (rounded to two decimal places).

The ratio of the height of the tree and the length of the shadow can be found by using the formula for tan which is given by:

tan(x) = (opposite/hypotenuse)

In the given problem statement, the height of the tree is opposite to the angle we are trying to find and the length of the shadow is the hypotenuse of the right-angled triangle. Therefore, we can say that:

tan(x) = opposite/hypotenuse = 86/110

We can use the inverse tangent function to find the value of x. This is because tan is the ratio of the opposite side (height of the tree) to the adjacent side (length of the shadow), and the inverse tangent function gives the angle that has that ratio.

So, tan x = 86/110 => x = tan⁻¹ (86/110) = 38.24 degrees (rounded to two decimal places). Therefore, the angle of elevation of the sun is 38.24 degrees.

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Answer:

Sorry! There is no attatched picture or complete information

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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Step-by-step explanation:

answer is 567