What is the slope of the line graph above?

Step-by-step explanation:

Area of a square 1.1.1=

\( {l}^{2} = l \times l\)

Area of a rectangle 1.1.2=

\(l \times b\)

Area of a triangle 1.1.3=

\( \frac{1}{2} \times base \times height\)

Area of square ABCD

\( |ab| = 3cm\)

Area of a square =l×l

l=3cm

Area = 3×3=9cm2

The number of adults believes that the divorce is morally wrong is given by 54.8 million.

Given that the total number of adults in the country is = 274 million

Percentage of adults believe that the divorce is morally wrong is given by = 20 %

So the probability of adults believes that the divorce is morally wrong is given by = 20 / 100 = 1 / 5.

The number of adults believes that the divorce is morally wrong is given by

= (Number of total adults) * (Probability of adults believes that the divorce is morally wrong)

= 274 million * (1 / 5)

= 54.8 million

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The question is incomplete. The complete question will be -

"If there are 274 million adults in the country, and 20% believe that the action is morally wrong. How many believe that divorce is morally wrong?"

In the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

The domain refers to the set of possible inputs or variables in a given context. In this case, the scatterplot is being created based on the relationship between the time students spent studying and their corresponding test grades. Therefore, the domain in this context would be the number of minutes the students studied (option D).

The domain represents the independent variable, which is the variable that is controlled or manipulated in the analysis. In this scenario, the math teacher wants to analyze the relationship between studying time and test grades, so the number of minutes studied would be the independent variable. The teacher surveys the students to collect data on the time spent studying, and this variable becomes the domain of the scatterplot.

The range, on the other hand, represents the dependent variable, which is the variable that is measured or observed as an outcome or response. In this case, the dependent variable would be the students' test grades. The scatterplot will show how the test grades correspond to the amount of time students studied.

To summarize, in the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

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Okay, here we have this:

Considering the provided function, we are going to calculate the requested roots, so we obtain the following:

Finally we obtain that the roots of the function are x=8 and x=4.

Answer:

Im not sure but go with 24

exterior angle = sum of its opposite interior angles

Which means :-

\(x + 21 + 63 = 3x\)

\(21 + 63 = 3x - x\)

\(21 + 63 = 2x\)

\(84 = 2x\)

\(2x = 84\)

\(x = 84 \div 2\)

\(x = 42°\)

Therefore , the correct option is :-

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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Answer:

978

Step-by-step explanation:

y= -x²+ 78x - 543

y= ax²+ bx + c

a= -1, b= 78, c= -543

max = c -(b²/4a)

= -543 -(78²/-4)

= -543 + 1521

= 978

Answer:

978

Step-by-step explanation:

i checked the anser and it is correct, just want to make sure it's correct :)

Assuming the data to be approximately bell-shaped.

We want to calculate what two values will approximately 68% of the numbers of days be.

For a bell shaped distribution, we can apply the 68-95-99.7 rule, which states that approximately 68% of the data will fall within 1 standard deviation from the mean.

Then, for a mean of 30 and standard deviation of 7, we can calculate the two values as:

X1= μ + z.σ = 28 + 1.4 = 32

so  Estimate the percentage of bills for which payment was made in greater than 40 days.

32 = 40 + z.4

z = 50%

the percentage of bills for which payment was made in less than 28 days.

32 = 28 + z.4

z = 100%

the percentage of bills for which payment was made between 24 and 32 days.

32 = 32 + z.4

can noy be found

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Answer:

I got you with Question 3 and 4 my guy.

3) He would need 12 and it would cost 50k

4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27

The Tom will need to bring to the closing $54,341.27

He would need 12 and it would cost 50k.

We have given that,

Tom buys a condominium for $42,600.

He makes a down payment of 15% and pays these closing costs to survey $225.

The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.

Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286

9% payments: $563.24

7% payments: $494.75.

Monthly savings: $69.49

9% total repaid: $2022,764.90  

7% total repaid: $148,423.63

Savings: $54,341.27

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The given statement "Everyone in this neighborhood owns a car. George lives in this neighborhood. Therefore, George owns a car." is an example of universal instantiation.

Universal instantiation is a valid logical inference rule that allows us to infer a specific instance from a universal statement. It is based on the idea that if a statement applies to every member of a group or category, then it must also apply to a specific individual within that group.

In the given statement, the universal statement is "Everyone in this neighborhood owns a car." This statement asserts that every member of the neighborhood owns a car. By applying universal instantiation, we can infer that George, who is a member of this neighborhood, also owns a car. This inference is valid because George is part of the group described by the universal statement, and thus the statement applies to him as well.

To further understand this concept, let's break down the options provided:

a. Universal instantiation: This is the correct answer. It refers to the process of deriving a specific instance from a universally quantified statement.

b. Existential generalization: This rule allows us to infer the existence of at least one instance based on specific instances. It is not applicable to the given statement.

c. Existential instantiation: This rule allows us to introduce a new instance based on the existence of a specific instance. It is not applicable to the given statement.

d. Universal generalization: This rule allows us to infer a universally quantified statement from specific instances. It is not applicable to the given statement.

In conclusion, the example provided is an instance of universal instantiation because it derives a specific instance (George owning a car) from a universally quantified statement (everyone in the neighborhood owning a car).

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Answer:

make the number into a fraction and you can find the answer

Step-by-step explanation:

To calculate the z-score from a given value, mean, and standard deviation, you can use the following formula:

z = (x - μ) / σ

z-score can be calculated using the formula

z = (x - μ) / σ

where:

- z is the z-score

- x is the value you want to standardize

- μ is the mean of the data set

- σ is the standard deviation of the data set

Here are the steps to calculate the z-score:

1. Determine the value you want to standardize (x).

2. Calculate the mean (μ) and the standard deviation (σ) of the data set.

3. Subtract the mean from the value you want to standardize (x - μ).

4. Divide the result by the standard deviation (σ) to get the z-score.

The z-score measures how many standard deviations an individual data point is away from the mean. A positive z-score indicates that the value is above the mean, while a negative z-score indicates that the value is below the mean. The magnitude of the z-score represents the distance from the mean in terms of standard deviations.

By calculating the z-score, you can compare different data points and determine their relative positions within a distribution. The z-score is useful for standardizing data and identifying outliers or unusual observations.

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To determine the required diameter of the pneumatic cylinder needed to produce 13 lb of force, given a gauge pressure of 101 lb/in², we can use the principles of pressure and force in fluid dynamics.

By rearranging the formula for pressure and utilizing the equation for the area of a circle, we can calculate the diameter of the cylinder required for this task. First, we convert the gauge pressure from lb/in² to lb/ft² by multiplying by a conversion factor of 144 (since there are 144 square inches in a square foot). This results in a gauge pressure of 14,544 lb/ft². Next, we divide the force of 13 lb by the pressure to find the area required to generate this force. The equation for pressure (P) is given by P = Force / Area. Rearranging the equation, Area = Force / Pressure, we have Area = 13 lb / 14,544 lb/ft².

To calculate the required diameter, we need to find the radius, as the equation for the area of a circle is given by Area = π * radius². Rearranging the equation, we have radius = √(Area / π). Substituting the known values, radius = √(13 lb / 14,544 lb/ft² / π). Finally, we can calculate the diameter by multiplying the radius by 2. By rounding the result to two decimal places, we can determine the required diameter of the pneumatic cylinder.

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The total cost to lay the garden path is $1952.64. To find the total cost to lay a rectangular garden path, we first need to find the area of the path.

The area of a rectangle is found by multiplying its length and width.

In this case, the length of the path is 18 feet and the width of the path is 9 2/5 feet. To multiply these two measurements, we first need to convert the mixed number 9 2/5 into a fraction: 9 2/5 = 9 + 2/5 = 9.4

So the area of the path is:

18 feet * 9.4 feet = 162.72 square feet

Next, we multiply the area of the path by the cost per square foot, which is $12:

162.72 square feet * $12/square foot = $1952.64

So the total cost to lay the garden path is $1952.64.

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A landscaper charges 12 dollars per square foot how much does he charge to lay a rectangular garden path that is 18 feet long by 9 2/5 feet wide?

In a bigram model, the probability is computed using pairs of consecutive words in the document. The formula for computing this probability is P(w_i|w_{i-1}) where w_{i-1} is the first word and w_i is the second word in the pair.

Since this is a multinomial model, the number of parameters is equal to the size of the vocabulary raised to the power of two. Therefore, in this case, the number of parameters would be V^2. In a bigram model, the probability of a pair of consecutive words (bigram) is computed. The model estimates the probability of the second word given the first word. To determine the number of parameters in a bigram model with a vocabulary size of V, you need to consider all possible word pairs. Since there are V words in the vocabulary, there can be V possible first words and V possible second words for each first word. Therefore, the total number of parameters is V * V, or V^2.

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The maximum value is 5 and the minimum value is -11.The maximum value is approximately 13.84 and the minimum value is -1040. The maximum value is approximately 0.8 and the minimum value is -0.333.

1. For f(x) = -2x - 1 over [-3, 5]:
  - Take the derivative of f(x) with respect to x: f'(x) = -2.
  - Set f'(x) equal to zero and solve for x: -2 = 0. There are no solutions, so there are no critical points.
  - Since the interval is finite, we evaluate f(x) at the endpoints:
    - f(-3) = -2(-3) - 1 = 5.
    - f(5) = -2(5) - 1 = -11.
  - Therefore, the maximum value is 5 and the minimum value is -11.

2. For f(x) = x³ - 4x + 10 over [-10, 10]:
  - Take the derivative of f(x) with respect to x: f'(x) = 3x² - 4.
  - Set f'(x) equal to zero and solve for x: 3x² - 4 = 0.
    - x = 2/√3 or x = -2/√3.
  - Since the interval is finite, we evaluate f(x) at the endpoints and critical points:
    - f(-10) = -10³ - 4(-10) + 10 = -1040.
    - f(-2/√3) ≈ 8.16.
    - f(2/√3) ≈ 13.84.
    - f(10) = 10³ - 4(10) + 10 = 960.
  - Therefore, the maximum value is approximately 13.84 and the minimum value is -1040.

3. For f(x) = x/(x^2 + 1) over [1, 4]:
  - Take the derivative of f(x) with respect to x: f'(x) = (x² + 1 - 2x²) / (x² + 1)².
  - Set f'(x) equal to zero and solve for x: (x²+ 1 - 2x²) / (x² + 1)² = 0.
    - x² + 1 - 2x² = 0.
    - -x² + 1 = 0.
    - x² = 1.
    - x = ±1.
  - Since the interval is finite, we evaluate f(x) at the endpoints and critical points:
    - f(1) = 1 / (1² + 1) ≈ 0.333.
    - f(-1) = -1 / (1² + 1) ≈ -0.333.
    - f(4) = 4 / (4² + 1) ≈ 0.8.
  - Therefore, the maximum value is approximately 0.8 and the minimum value is -0.333.

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Answer:

A. 7.5

B. 10

Step-by-step explanation:

The first one is 3x2 + half of 3x1 for 6 + 0.5*3 total.

The second one is 3x2 + 4 times half a 2x1 for 6 + 4 * 0.5 * 2 = 10

Answer: $5.52

Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp=

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps=

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

8.28÷18 = 0.46

0.46 is the cost if 1 stamp

cost of 12 stamps= 0.46×12 = $5.52

happy to help :)

Answer:

\(8\frac{1}{2}*11=93\frac{1}{2}\)

Step-by-step explanation:

Simplify the expression.

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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Answer:

A

Step-by-step explanation:

It went down 5 so y-5 and it also went left 6 so x-6

(x-6,y-5)

I'm pretty sure the top right is before it was moved

Brainliest Appreciated! :)

Answer:

D

Step-by-step explanation:

lets take one point of each triangle

A(-5,-4) A´(1,1)

-5 to 1 is 6

-4 to 1 is 5

( x + 6, y - 5 )

The surface area of the pool float rubber ducky will be 21,504 cm² and the volume will be 1,990,656 cm³.

We are given that the bath time rubber ducky and the pool float ducky are similar figures. When the dimensions of a figure are multiplied by a scale factor (in this case, 16), the surface area is multiplied by the square of the scale factor and the volume is multiplied by the cube of the scale factor.

Step 1: Calculate the surface area of the pool float ducky.
Surface Area of Pool Float Ducky = (Scale Factor)² × Surface Area of Bath Time Ducky
Surface Area of Pool Float Ducky = (16)² × 84 cm²
Surface Area of Pool Float Ducky = 256 × 84 cm²
Surface Area of Pool Float Ducky = 21,504 cm²

Step 2: Calculate the volume of the pool float ducky.
Volume of Pool Float Ducky = (Scale Factor)³ × Volume of Bath Time Ducky
Volume of Pool Float Ducky = (16)³ × 486 cm³
Volume of Pool Float Ducky = 4,096 × 486 cm³
Volume of Pool Float Ducky = 1,990,656 cm³

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Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

main answer:  YES,the image formed is reflection from the origin is same

supporting answer :A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure. The reflected image should be the same shape and size as the original, but it should face in the opposite direction. Translation can also occur as a result of changes in position. The original image is referred to as the pre-image, and its reflection is referred to as the image. The pre-image and image are represented by ABC and A'B'C', respectively. The reflection transformation can be applied to the coordinate system (X and Y).

body of the answer: given the ponts p(1,2)

              p⁰=(-1,-2)

              p¹=(1,-2)

              p¹¹=(-1,-2)

here p⁰=p¹¹

final answer: therefore the image formed is reflection from the origin is SAME

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YES, the image formed is reflection from the origin is same.

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure. The reflected image should be the same shape and size as the original, but it should face in the opposite direction. Translation can also occur as a result of changes in position. The original image is referred to as the pre-image, and its reflection is referred to as the image. The pre-image and image are represented by ABC and A'B'C', respectively. The reflection transformation can be applied to the coordinate system (X and Y).

Given the points p(1,2)

p⁰=(-1,-2)

p¹=(1,-2)

p¹¹=(-1,-2)

here p⁰=p¹¹

Therefore the image formed is reflection from the origin is SAME

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