A polygon will be dislates on a coordinate grid to creat a smaller polygon. The polygon is dilated using the organ as the center of dilation. What rule could represent this dilation? A-(x,y) (0.5-x,0.5-y)

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

y = -½x + 7

Step-by-step explanation:

Perpendicular lines have the product of their gradients equal to -1

For this to be true, since the first gradient is 2, the second gradient must be -½

So the first part is

y = -½x + c

We substitute our point to get c

5 = -½(4) + c

7 = c

Our line is

y = -½x + 7

FYI slope-intercept form is y = mx + c

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

x = 8 or x = -1 is the answer

Step-by-step explanation:

3x² - 21x -24

divide with 3

x² - 7x - 8

Factorizing,

x² + x - 8x - 8

x(x + 1) -8 (x + 1)

(x - 8) (x + 1)

x = 8,-1

In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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The difference between the sample and the population that occurs by chance is known as sampling error. The term "sampling error" refers to the discrepancy that arises between a sample statistic and a population parameter due to chance sampling variation

.A sample is a subset of a population that is chosen to represent the entire population. The population is the complete set of data that the researcher is interested in. It is impossible to collect information from every member of a population, so samples are used instead.Sampling error arises because the sample used to make inferences or generalizations about a population is never an exact representation of the entire population.

Sampling error may also be caused by differences in the measuring instrument used to collect data or the procedures used to collect data.The difference between the sample and the population that occurs by chance is known as sampling error. So, option B is correct.

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Answer:

0

Step-by-step explanation:

m=y2-y1

____

x2-x1

m=-3-(-3) =(-3+3)/(-36) =0/-36=0

_____

-16-20

Note that where the above function is given, the equation in function notation is f(x) = (-2/3)x + 490. This function represents the profit Sal makes from lunch specials based on the number of sandwich and wrap lunch specials sold. See the graph attached.

To change the given equation to slope-intercept form, we need to solve for y.

2x + 3y = 1470

3y = -2x + 1470

y = (-2/3)x + 490

Therefore, the slope of the line is -2/3 and the y-intercept is 490.

To graph this line using the slope-intercept method, we can plot the y-intercept first, which is (0, 490). Then, using the slope of -2/3, we can find another point by moving 2 units to the right and 3 units down from the first point. We can continue this pattern to plot additional points and then draw a straight line through them.

The equation in function notation is f(x) = (-2/3)x + 490. This function represents the profit Sal makes from lunch specials based on the number of sandwich and wrap lunch specials sold.

To graph the function, we can plot the intercepts (0, 490) and (735, 0), where 735 is the x-intercept. Then, using the slope of -2/3, we can find other points and draw a straight line through them.

If Sal's total profit on lunch specials for the next month is $1,593, then the equation would be 2x + 3y = 1593. The graphs of the functions for both months would have the same slope of -2/3, indicating that the profit per lunch special sold remains constant.

However, the y-intercept would be different, indicating a different starting profit for the month. The graphs would have different intercepts and intersect the y-axis at different points, reflecting the difference in starting profits.

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Step-by-step explanation:

x=10

y=24

r=√10²+24²=√100+576=√676=26

sin = y/r = 24/26

cos = x/r =10/26

tan=y/x = 24/10

csc = r/y=26/24

sec= r/x = 26/10

tan = x/y = 10/24

Answer:

5.5

Step-by-step explanation:

180/3 =60 (60/1 hr)

330/60 =5.5

Answer:

5 units cause that ordinates are same abssisae is different

Answer:

\(2\frac{7}{16}\)  inches

Step-by-step explanation:

Since 1 mi = 5,280 ft., to convert miles to feet, multiply by 5,280.

96 mi. = 96(5,280 ft.)

96 mi. = 506,880 ft.

Since 1 ft. = 12 in., to convert feet to inches, multiply by 12.

506,,800 ft. = 506,880(12 in.)

506,880 ft. = 6,082,560 in.

The map scale is 1 in. represents 2,500,000 in.

\(\frac{6,082,560}{2,500,00} = 2.4330...\)  

The distance on the map between Nanaimo and Campbell River is approximately \(2\frac{7}{16}\)

Answer:

Jada

Step-by-step explanation:

We are given Jada's distance in kilometers and Han's distance in meters. To compare the two we need to have them both in the same unit of measurement.

One kilometer is equal to 1000 meters, so Jada ran 15.25*1000=15250 meters.

Compared to Han, who ran 8500 meters, Jada ran farther. 15250>8500.

Answer:

what grade are u in

Step-by-step explanation:

bc I have no idea what u are doing

Answer:

Step-by-step explanation:

256x

Step-by-step explanation:

the domain is the interval or set of all valid x (input) values.

the range is the interval or set of all valid y (function result) values.

so, we see here, x goes from -2 to +2.

and y stays between -5 and -1.

the hole point at (-2, -1) means the point itself is not included. the full point (2, -1) means the point itself is included.

the domain is

-2 < x <= +2

"-2 < x" because (-2, -1) is not included.

"x <= +2" because (2, -1) is included.

the range is

-5 <= y <= -1

"y <= -1" because for the included point (2, -1) y can reach -1, even though (-2, -1) is excluded.

The answer of the given question based on graph is it appears to be a right-skewed distribution .

Graphs are used to visually represent data in a clear and concise manner. A graph is visual representation of data or mathematical function. They are useful for summarizing and communicating large amounts of information in a way that is easy to understand. Graphs are commonly used in various fields like science, engineering, economics, and finance, to name a few.

Some of the most common uses of graphs include:

Showing trends or patterns over time, like stock prices or weather patterns.

Comparing data across different groups, like sales figures for different products or performance metrics for different teams. etc.  graphs are a powerful tool for analyzing and presenting data in a way that is easy to understand and interpret.

Based on the given graph, it appears to be a right-skewed distribution. A right-skewed distribution is also known as a positively skewed distribution. It means that the tail of the distribution extends to the right and has more values towards the left side of the graph. In this type of distribution, the mean is usually greater than the median, and the mode is less than the median.

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Answer:

9

Step-by-step explanation:

n2-27=6n

Than n (exponet) 2 - 27 - 6n = 0

Now factor (n-9)(n+3)=0

The surface area of the cuboid is 10cm².

By adding up the areas of all of a cuboid's faces, one may determine its surface area. A cuboid's total surface area, measured in square units, is

2 (lw + wh + lh), where l is the cuboid's length, w is its width, and h is its height.

Here in the given question,

There are 2 cubes.

Edge of each cube = 1cm.

Now the cubes are joined and formed a cuboid with:

Length, l = 1 + 1 = 2cm.

Breadth, b = 1cm.

height, h = 1cm

Surface area of the cuboid = 2 (lb + bh + lh)

= 2 (2 × 1 + 1 × 1 + 2× 1)

= 2 (2+1+2)

= 2 × 5

= 10cm².

Therefore, the surface area of the cuboid = 10cm².

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The question involves several calculations related to different scenarios. The first part asks for the displacement, average speed, and average velocity of a person walking to the store and back. The second part involves calculating the average acceleration, total distance traveled, and representing the trajectory of a train on an x vs. t graph. Lastly, the question asks for the maximum height reached, time of descent, and velocity of a book thrown upwards.

a) To calculate the displacement, subtract the initial position (home) from the final position (store) and account for the direction. In this case, the displacement is 1.0 km (store) - 1.0 km (home) = 0 km since the person returns to their starting point.

b) Average speed is calculated by dividing the total distance traveled by the total time taken. In this case, the total distance is 1.0 km + 0.24 km + 1.0 km = 2.24 km. The total time is 25 minutes (to the store) + 10 minutes (in the store) + 15 minutes (to the friend's house) + 10 minutes (from friend's house to home) = 60 minutes or 1 hour. Therefore, the average speed is 2.24 km / 1 hour = 2.24 km/h.

c) Average velocity is the displacement divided by the total time taken. Since the displacement is 0 km and the total time is 1 hour, the average velocity is 0 km/h.

For the second part of the question:

a) The average acceleration can be calculated by dividing the change in velocity by the time taken. Since the train starts from rest and reaches a velocity of 42 m/s, the change in velocity is 42 m/s. The total time for acceleration is the time taken to reach 42 m/s, which can be calculated using the equation v = u + at, where u is the initial velocity (0 m/s), a is the acceleration, and t is the time. Once the acceleration is found, the same process can be applied to calculate the average acceleration for the other two parts of the trajectory.

b) The total distance traveled by the train can be obtained by summing the distances traveled during each part of the trajectory: the distance covered during acceleration, the distance covered during constant velocity, and the distance covered during deceleration.

c) The train trajectory can be represented on an x vs. t graph by plotting the position of the train along the x-axis at different points in time.

Lastly, for the book thrown upwards:

a) The maximum height reached by the book can be calculated using the equation v² = u² + 2as, where v is the final velocity (0 m/s at the highest point), u is the initial velocity (3.9 m/s), a is the acceleration due to gravity (-9.8 m/s²), and s is the displacement (maximum height). Solve for s to find the maximum height.

b) The time it takes for the book to hit the floor can be calculated using the equation v = u + at, where v is the final velocity (downward velocity when the book hits the floor), u is the initial velocity (3.9 m/s), a is the acceleration due to gravity (-9.8 m/s²), and t is the time of descent. Solve for t.

c) The velocity of the book when it hits the floor is the final velocity obtained from the previous calculation.

In summary, the calculations involve determining the displacement, average speed, and average velocity of a walk, as well as the average acceleration, total distance, and trajectory representation of a train. Additionally, the maximum height reached

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Answer: y=2x-5

Step-by-step explanation:

6x-3y=15

6x-6x-3y=-6x+15

-3y=-6x+15

-(3y=6x-15)

3y=6x-15

3y/3=(6x-15)/3

y=6x/3-15/3

y=2x-5

Answer: The y-intercept is -2/3

Step-by-step explanation: Im good at maths

These logical expressions provide a precise representation of the relationships and conditions described in the statements within the given domain.

(a) The logical expression for "There is a horse who has not been fed" is ∃x(H(x) ∧ ¬F(x)), which translates to "There exists an x such that x is a horse and x has not been fed."

(b) The logical expression for "Every bunny has been fed" is ∀x(B(x) → F(x)), which translates to "For all x, if x is a bunny, then x has been fed."

(c) The logical expression for "Exactly one horse has not been fed" is ∃x(H(x) ∧ ¬F(x)) ∧ ∀y(H(y) → (y = x ∨ F(y))), which translates to "There exists an x such that x is a horse and x has not been fed, and for all y, if y is a horse, then either y is equal to x or y has been fed."

(d) The logical expression for "Every horse weighs more than every bunny" is ∀x∀y(H(x) ∧ B(y) → W(x, y)), which translates to "For all x and y, if x is a horse and y is a bunny, then x weighs more than y."

(e) The logical expression for "Fluffy weighs more than every other bunny" is ∀x(B(x) ∧ x ≠ Fluffy → W(Fluffy, x)), which translates to "For all x, if x is a bunny and x is not Fluffy, then Fluffy weighs more than x."

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Answer:8

Step-by-step explanation:

Khan academy answer

The density of a sample of an unknown substance with a mass of 6 grams and a volume of 12 cm³ is 0.5 grams.

Density is a fundamental physical property that measures the amount of matter (mass) packed into a particular space (volume). The mathematical definition of density is simply the mass of an object divided by its volume. Density is typically measured in units of mass per unit volume, such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). One crucial aspect of density is that it is an intrinsic property of a substance, meaning it is a characteristic that depends solely on the material and is not affected by the amount of the substance. By using density, we can identify the material a particular object is made of. For example, a piece of gold will have a higher density than a piece of silver because gold is a more dense metal. Additionally, the density of an object can be used to determine its buoyancy in a fluid. Objects with a higher density will sink in a fluid with a lower density, while objects with a lower density will float.

Density is defined as the amount of mass per unit of volume. Mathematically, it can be represented as:

Density = Mass/Volume

Substituting the given values, we get:

Density = 6 grams/12 cm³

Density = 0.5 grams/cm³

Therefore, the density of the sample is 0.5 grams/cm³.

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Each small horse needs 20 liters of water per day.

We know that the small horses consume 200 deciliters per day, and we want to transform this amount to liters.

Then we need to use the relation:

1 dL = 0.1 L

Then we can take the volume above and multiply it by 0.1 L

200 dL = 200*(1 dL) = 200*(0.1 L) = 20L

So each one needs 20 liters of water per day.

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Diameter is 70m

Thus radius = half of diameter= 70/2 = 35meters

Angle of rotation (teta) = 280 degrees

The distance covered will be

The runner has traveled 171.06 meters

you would need to calculate the z-scores and look up the cumulative probabilities using a standard normal distribution table or a calculator to obtain the final probabilities.

To find the probability that a single randomly selected value is between 178.7 and 198.2, we can use the z-score formula and the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

z = (x(bar) - μ) / σ

For 178.7:

z1 = (178.7 - 208.5) / 94.8

For 198.2:

z2 = (198.2 - 208.5) / 94.8

Step 2: Look up the corresponding cumulative probabilities associated with the z-scores using a standard normal distribution table or a calculator.

Let's assume the cumulative probabilities for the z-scores are P1 and P2, respectively.

Step 3: Calculate the probability using the cumulative probabilities:

P(178.7 < X < 198.2) = P2 - P1

To find the probability that a sample of size n=85 is randomly selected with a mean between 178.7 and 198.2, we need to use the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases.

Since the sample size is large (n=85), we can approximate the distribution of sample means as a normal distribution with the same mean (μ) as the population but with a standard deviation (σ/√n).

Step 4: Calculate the standard deviation of the sample mean (σ/√n):

σ_sample = σ / √n

Step 5: Calculate the z-scores for the sample mean using the formula:

z_sample = (x(bar) - μ) / σ_sample

Here, x(bar) represents the sample mean.

Step 6: Look up the corresponding cumulative probabilities associated with the z-scores using a standard normal distribution table or a calculator.

Let's assume the cumulative probabilities for the z-scores of the sample mean are P_sample1 and P_sample2, respectively.

Step 7: Calculate the probability using the cumulative probabilities:

P(178.7 < ¯x < 198.2) = P_sample2 - P_sample1

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433 students like at most two types of these chocolate candies.

A survey of 500 high school students was conducted to determine their favorite chocolate candy.

139 students liked snickers, 184 liked Twix, 181 liked Reese's Peanut Butter Cups, 129 liked Snickers and Twix, 109 liked Twix and Reese's Peanut Butter Cups, 71 liked Snickers and Reese's Peanut Butter Cups, and 70 liked all three types of chocolate candy. So, how many students like at most two types of these chocolate candies?

Step-by-step explanation:

If you use the Principle of Inclusion-Exclusion, you can figure out how many students enjoy two or fewer candies. The PIE formula is as follows:

n(Snickers U Twix U Reese's) = n(Snickers) + n(Twix) + n(Reese's) - n(Snickers ∩ Twix) - n(Snickers ∩ Reese's) - n(Twix ∩ Reese's) + n(Snickers ∩ Twix ∩ Reese's)n(Snickers U Twix U Reese's)

= 139 + 184 + 181 - 129 - 109 - 71 + 70

n(Snickers U Twix U Reese's) = 503

Students who liked two or fewer types of candies can be found by subtracting the number of people who liked all three from the total number of individuals in the study who like any one candy.

503 - 70 = 433 students

Therefore, 433 students like at most two types of these chocolate candies.

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