A 3 in thick slice is cut off the top of a cube, resulting in a rectangular box that has volume 64 in3

the equation "y = 2x + 7" represents a proportional relationship.

The measures of the angles are given as A' = 103, B' =100, c' = 80, D' = 77

∠x

125 + ∠x = 180 (angle on a straight line)

∠x = 55 degrees

∠y

∠x + ∠y + 48 = 180 angles in a triangle

55 + ∠y + 48 = 180

∠y = 77 degrees

∠D

∠d = ∠Y vertically opposite

∠a + ∠D = 180

∠A = 180 - 77

= 103 degrees

∠B  + 80 = 180

∠b = 100 degrees

∠c + ∠ b = 180

∠c = 180 - 100

= 80 degrees

hence A' = 103, B' =100, c' = 80, D' = 77

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The limits represented by [tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right)[/tex] has its value to be 1/13

From the question, we have the following parameters that can be used in our computation:

[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right)[/tex]

To determine the limits, we make use of the L'Hôpital's rule

Using the above as a guide, we have the following:

[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right) = \lim _{x\to 0}\left(\frac{\cos\left(x\right)}{13}\right)[/tex]

Substitute the known values in the above equation, so, we have the following representation

[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right) = \frac{\cos\left(0\right)}{13}\right)[/tex]

This gives

[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right) = \frac{1}{13}\right)[/tex]

Hence, the value is 1/13

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Explanation:

If A*B = 0, then either A = 0 or B = 0 or both are zero. This is the zero product property.

For this problem we'll have x(x+3) = 0 lead to x = 0 or x+3 = 0

Solve x+3 = 0 to get x = -3

Answer:

Error refresh.

Step-by-step explanatithanksforfreepointlolon:

Answer:

a. The y-intercept of the estimated line of best fit is at (0, b). Enter the approximate value of b.

b. Approximately 8.

b. Enter the approximate slope of the estimated line of best fit in the second box. slope=24 (Enter your estimate to the nearest tenth.)

Approximately 2.4.

The limit of the given function f(x,y) as (x,y) approaches (0,0) is 0.

What is function ?
Function can be defined in which it relates an input to output.

To find the limit of the given function[tex]f(x,y) = sin(2(x^2 + y^2))/(2(x^2 + y^2))[/tex]as [tex](x,y)[/tex] approaches (0,0), we can use the squeeze theorem.

First, note that [tex]sin(2(x^2 + y^2))[/tex]is bounded between -1 and 1 for all (x,y), since the sine function is bounded between -1 and 1. Therefore, we have:

[tex]-1/(2(x^2 + y^2)) < = sin(2(x^2 + y^2))/(2(x^2 + y^2)) < = 1/(2(x^2 + y^2))[/tex]

Next, we can take the limit as (x,y) approaches (0,0) of both sides of this inequality using the squeeze theorem. The left-hand side approaches 0, and the right-hand side approaches 0 as well. Therefore, by the squeeze theorem, we have:

lim (4/3)π(21.03)³- (4/3)π(20.97)³

Hence, the limit of the given function f(x,y) as (x,y) approaches (0,0) is 0.

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The balance over the acceptable debt ratio is $1089.90.

A debt ratio calculates a company's leverage by comparing its total debt to its total assets.

Although this ratio varies greatly between industries, capital-intensive enterprises typically have significantly larger debt ratios than other types of businesses.

Divide total debt by total assets to find a company's debt ratio.

A debt ratio of less than 100% signifies a corporation has more assets than debt, and a debt ratio of larger than 1.0 or 100% means the opposite.

According to some sources, the debt ratio is calculated by dividing all obligations by all assets.

Given that, credit card balance = $3,589.90

credit limit = $5,000

Debt Ratio percentage = 50% = 0.50

The balance over is given as

balance = Current Balance - (Credit Limit × 0.50 )

balance = 3589.90 - (5000 × 0.5)

balance = 3589.9 - 2500

balance = 1089.9

Hence, the balance over the acceptable debt ratio is $1089.90.

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The equation of the midline for the function f(x) = 12sin(x) + 6 is y = 12. The midline of a periodic function is a horizontal line that represents the average value of the function over one period.

For a sinusoidal function, the midline is the line that passes through the center of the graph, or the average of the maximum and minimum values of the function.

To find the midline equation for the function f(x) = 12sin(x) + 6, we first need to find the maximum and minimum values of the function. The amplitude of a sinusoidal function is half the difference between its maximum and minimum values. In this case, the amplitude is 12, so the maximum value is 12+6=18, and the minimum value is 6-12=-6.

The midline of the function is the line halfway between the maximum and minimum values, or at a height of (18 - 6)/2 + 6 = 12. Therefore, the equation of the midline is y = 12. This means that the function oscillates above and below this line by a maximum of 12 units.

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The percentage of the decrease in the value of the XYZ Company stock is 16%.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The decrease in the value of the stock is $25 - $21 = $4.

To find the percent decrease, we need to divide the decrease by the original value and then multiply by 100:

Percent decrease = (Decrease / Original value) x 100

In this case, the original value is $25, so:

Percent decrease = (4 / 25) x 100 = 16%

Therefore, the percentage of the decrease in the value of the XYZ Company stock is 16%.

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To evaluate whether x or o won the tic tac toe game, we need to check for the three possible winning conditions:
- A horizontal row of three x's or o's
- A vertical column of three x's or o's
- A diagonal of three x's or o's

Here's the step-by-step process:

1. Read in the first number from the file, which represents the number of data sets to follow.
2. For each data set, read in the 9 letter string representing the tic tac toe game.
3. Check for the three winning conditions by comparing the values in the string.
4. If any of the winning conditions are met, return the winning player (x or o).
5. If none of the winning conditions are met, return "No winner".

Here's the code in Python:

```
# Read in the first number from the file
num_data_sets = int(input())

# Loop through each data set
for i in range(num_data_sets):
 # Read in the 9 letter string
 game = input()

 # Check for the three winning conditions
 if (game[0] == game[1] == game[2]) or (game[3] == game[4] == game[5]) or (game[6] == game[7] == game[8]) or (game[0] == game[3] == game[6]) or (game[1] == game[4] == game[7]) or (game[2] == game[5] == game[8]) or (game[0] == game[4] == game[8]) or (game[2] == game[4] == game[6]):
   # If any of the winning conditions are met, return the winning player
   print(game[0])
 else:
   # If none of the winning conditions are met, return "No winner"
   print("No winner")
```

This code will read in the values for a tic tac toe game and evaluate whether x or o won the game.

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Part A: The variable in this situation represents the unit cost or the unit rate of each bag of chocolate.

Part B: The equation that represents the cost of each bag of chocolate chips is x = (20 - 5.86)/2.

Part C: The price of each bag of chocolate chips that Eve bought for her cookie recipe is $7.07.

An equation is an algebraic statement of the equality or equivalence of two or more mathematical expressions.

Mathematical expressions combine constants, numbers, variables, and values with algebraic operands but without the equation symbol (=) as an equation.

The number of bags of chocolate chips bought = 2 bags

The total amount given to the cashier for the purchase = $20

The balance in change received = $5.86

The cost of the 2 bags of chocolate chips = $14.14 ($20 - $5.86)

The cost of each bag = $7.07 ($14.14)

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Step-by-step explanation:

This is because when 12 : 3 is simplified it will give you 4 : 1

3 will go into 12 four times and 3 will go into 3 once, leaving 4 : 1

Therefore, 4 : 1 and 12 : 3 are equivalent ratios

The resulting graph should have a vertical intercept at (0, 0), a flat portion from (0, 0) to (5, 10), and a linearly increasing portion from (5, 10) to (10, 15). The slope of the second line should be $1 per kilometer.

In mathematics, a graph is a visual representation of a set of data or a mathematical function. It consists of a collection of points, called vertices, and the lines or curves, called edges, that connect them. A graph can be used to show relationships between sets of data, to model real-world situations, and to represent mathematical functions.

There are many types of graphs, including bar graphs, line graphs, pie charts, scatter plots, and more. Each type of graph is used to represent different types of data or to show different relationships between the data.

Bar graphs are used to show the frequency or quantity of discrete data items, such as the number of people who prefer a certain type of food. Line graphs are used to show the relationship between two sets of data, such as the relationship between temperature and time. Pie charts are used to show the relative proportions of different parts of a whole, such as the percentage of a budget that is allocated to different expenses. Scatter plots are used to show the relationship between two sets of numerical data, such as the relationship between height and weight.

Graphs are an important tool in mathematics and many other fields, including economics, engineering, physics, and computer science. They allow us to visualize and analyze complex sets of data and to make predictions about future trends or patterns.

We can sketch a piecewise linear graph to represent the relationship between the money collected from each sponsor and the number of kilometers walked:

For the first 5 kilometers, the sponsor donates a flat rate of $10.

After the first 5 kilometers, the sponsor donates $1 per kilometer.

To sketch this graph, we can plot two points:

(0, 0): This represents the starting point of the walkathon, where no money has been collected yet.

(5, 10): This represents the end of the first 5 kilometers, where the sponsor has donated a flat rate of $10.

Then, we can draw a line connecting these two points to represent the flat rate portion of the donation.

Next, we can plot a third point:

(10, 15): This represents the end of the next 5 kilometers (from 5 to 10 kilometers), where the sponsor has donated an additional $5 ($1 per kilometer).

Finally, we can draw a second line connecting (5, 10) to (10, 15) to represent the $1 per kilometer portion of the donation.

The resulting graph should have a vertical intercept at (0, 0), a flat portion from (0, 0) to (5, 10), and a linearly increasing portion from (5, 10) to (10, 15). The slope of the second line should be $1 per kilometer.

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Answer:

36 green marbles

Step-by-step explanation:

If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:

Green marbles = 60% x 60 marbles

To simplify this calculation, we can convert 60% to a decimal by dividing by 100:

Green marbles = 0.60 x 60 marbles

Green marbles = 36 marbles

Therefore, Rudy received 36 green marbles.

Answer: 36

Step-by-step explanation:

60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36

Finally, we can solve for y by dividing both sides by (A + 3):

y = 18 / (A + 3)

Therefore, the solution for y is y = 18 / (A + 3).

By connecting two expressions with an equal sign, a mathematical statement known as an equation is produced. An equation is something like 3x - 5 = 16. The answer of this equation, which indicates that the value of the variable x is 7, is 7.

To solve for y in the equation Ay + 3y + 9 = 27, we need to isolate y on one side of the equation. We can do this by first combining the like terms on the left-hand side of the equation, and then subtracting 9 from both sides to get:

Ay + 3y = 18

Next, we can factor out the y term on the left-hand side:

y(A + 3) = 18

Finally, we can solve for y by dividing both sides by (A + 3):

y = 18 / (A + 3)

Therefore, the solution for y is y = 18 / (A + 3).

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Answer: D.

Step-by-step explanation: It's just a cylinder how can you not see

The equation for the given statement can be written as:

-95x - 14 = -70 - x

To solve for x, we can rearrange the equation and combine like terms:

-95x + x = -70 + 14

-94x = -56

Next, we can divide both sides by -94 to isolate x:

x = -56/-94

Finally, we can simplify the fraction to get our answer:

x = 28/47

Therefore, the solution to the equation is x = 28/47.

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Answer:

unfortunately tdudeyiutddj try Zurich etu

please see the picture I but the answer on the top and the explanation in the bottom.

The value for the expression 1/3x² for x = 6 is 1/108. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four fundamental operations, often known as "arithmetic operations," are said to allow every real number to be stated, according to mathematicians. Divide, multiply, add, and subtract are the four mathematical operations that result in quotient, product, sum, and difference, respectively.

We are given an expression as  1/3x².

We need to find its value for x = 6.

Substituting this in the expression, we get

⇒1/3(6)²

⇒1/3(36)

⇒1/108

Hence, the value for the expression 1/3x² for x = 6 is 1/108.

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The two solutions are (1, 1/7) and (3.36, 1)

Assume that you spend some time walking (t_w) and some time canoeing (t_c) to cover a 30-mile trip. We can use the following formula to relate the time spent walking and canoeing:

distance = speed × time

For the walking part of the trip, the distance covered is (30 - d), where d is the distance covered by canoeing. We know that the walking speed is 4 mph, so we can write:

(30 - d) = 4t_w

For the canoeing part of the trip, the distance covered is d. We know that the canoeing speed is 7 mph, so we can write:

d = 7t_c

We also know that the total time spent on the trip is:

t_w + t_c

So, the constraint equation is:

t_w + t_c = 30/4 + 30/7

Simplifying this equation, we get:

11t_w - 7t_c = 30

Now, to determine two solutions, we can arbitrarily assign a value to one of the variables and then solve for the other. Let's assume t_w = 1, then we get:

11(1) - 7t_c = 30

7t_c = 1

t_c = 1/7

So, one solution is t_w = 1 and t_c = 1/7.

Similarly, assuming t_c = 1, we get:

11t_w - 7(1) = 30

11t_w = 37

t_w = 3.36

So, another solution is t_w = 3.36 and t_c = 1.

To graph the equation, we can plot t_w on the x-axis and t_c on the y-axis, and then plot the line 11t_w - 7t_c = 30. The two solutions will be the points of intersection of the line with the axes.

The two solutions are (1, 1/7) and (3.36, 1).

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Answer:320000

Step-by-step explanation:

The solution to inequality is -2/3 ≤ x ≤ 2. The value of x lies between -2/3 and 2.

What is inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the expression on the left should be greater or less than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using inequality symbols.

Given inequality is

|3x-2| ≤ 4

Applying the formula |x| ≤ a → -a ≤ x ≤ a:

-4 ≤ 3x-2 ≤ 4

Add 2 on both sides:

-4 + 2 ≤ 3x-2 + 2 ≤ 4 + 2

-2 ≤ 3x ≤ 6

Divide both sides by 3:

-2/3 ≤ x ≤ 2

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0.1728 is the correct answer. This represents the proportion of suburban park users who bike on the trail,

Proportion is a mathematical term that describes the relationship between two values. It is used to compare two parts of a whole, two ratios, or two fractions. It is expressed as a ratio, fraction, or percentage.

For example, if a person has 3 apples and 2 oranges, the proportion is 3:2 or 3/2. This means that for every 3 apples, there are 2 oranges.

Proportion can also be used to compare the size of two objects. For example, if one object is twice as long as the other, the proportion is 2:1. Proportion can also be used to compare two fractions, such as 1/4 and 1/2. In this example, the proportion is 1:2, as 1/4 is half of 1/2.

Proportion is also used to compare two percentages, such as 30% and 60%. In this example, the proportion is 3:6, as 30% is half of 60%.

Step 1: Calculate the total number of users on the suburban park trail by adding the numbers in the 'Suburban' column in the table: 125 + 76 + 42 = 243.

Step 2: Calculate the proportion of suburban park users who bike on the park trail by dividing the number of bike users (42) by the total number of users (243): 42/243 = 0.1728.

Step 3: Round the answer to the nearest thousandth: 0.1728 ≈ 0.1730.

Answer: The proportion of suburban park users who bike on the park trail is 0.1730.

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We can conclude that the hypotheses of the Existence and Uniqueness Theorem are satisfied in any rectangular region in the ty-plane that does not contain the curve t² + y² = -1.

The Existence and Uniqueness Theorem for first-order ordinary differential equations states that if a differential equation of the form y' = f(t, y) satisfies the following conditions in some rectangular region in the ty-plane:

1. f(t, y) is continuous in the region.

2. f(t, y) satisfies a Lipschitz condition in y in the region, i.e., there exists a constant L > 0 such that |f(t, y₁) - f(t, y₂)| ≤ L|y₁ - y₂| for all t and y₁, y₂ in the region.

then there exists a unique solution to the differential equation that passes through any point in the region.

In the case of the differential equation y' = (y cot(2t)) / (t² + y² + 1), we have:

f(t, y) = (y cot(2t)) / (t² + y² + 1)

This function is continuous everywhere except at the points where t² + y² + 1 = 0, which is the curve t² + y² = -1 in the ty-plane. Since this curve is not included in any rectangular region, we can say that f(t, y) is continuous in any rectangular region in the ty-plane.

To check if f(t, y) satisfies a Lipschitz condition in y, we can take the partial derivative of f with respect to y and check if it is bounded in any rectangular region. We have:

∂f/∂y = cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²

Taking the absolute value and simplifying, we get:

|∂f/∂y| = |cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²|

= |cot(2t) / (t² + y² + 1)| * |1 - (2y² / (t² + y² + 1)))|

Since 0 ≤ (2y² / (t² + y² + 1)) ≤ 1 for all t and y, we have:

1/2 ≤ |1 - (2y² / (t² + y² + 1)))| ≤ 1

Also, cot(2t) is bounded in any rectangular region that does not contain the points where cot(2t) is undefined (i.e., where t = (k + 1/2)π for some integer k). Therefore, we can find a constant L > 0 such that |∂f/∂y| ≤ L for all t and y in any rectangular region that does not contain the curve t² + y² = -1.

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Answer:

Step-by-step explanation:

1st you solve the triangle by L x W then round it by x 10, hope this helps!

Answer:

19/28

Step-by-step explanation:

1/4 = 7/28

3/7 = 12/28

Then:

1/4 + 3/7 = 7/28 + 12/28 = (7+12)/28

= 19/28

Answer: y = 2x - 7

Step-by-step explanation:

Slope-intercept form is y=mx+b

Substitute variables with their given values.

 y = 2x + b

In order to find the y-intercept, or b, we can plug the point provided, (4,1) , into y = 2x + b and solve for b.

 1 = 2(4) + b

 1 = 8 + b

-7 = b

Now we can put the y-intercept into the equation, and get y = 2x - 7 .

Next year's population is 202,005

The population of a city increases by 0.5% per year

This year's population is 201,000

Next year's population can be calculated as follows

201,000 × 0.5/100

= 201,000 × 0.005+1

= 201,000 × 1.005

= 202,005

Hence next year's population is 202,005

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