50 POINTS ASAP Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of five eighths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.

A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−16, 24), B′(−8, 8), C′(16, −24), D′(16, 16)
A′(2.5, −3.75), B′(1.25, −1.25), C′(−2.5, 1.25), D′(−2.5, −2.5)
A′(−2.5, 3.75), B′(−1.25, 1.25), C′(2.5, −1.25), D′(2.5, 2.5)

Answer:

The area of the rectangle A =  25x² -  20x

Step-by-step explanation:

Given

The width of the rectangle = w = 5x - 4

The length of a rectangle = l = 5x

To determine

The area of the rectangle = ?

Using the Formula to determine the area of the rectangle

\(A = wl\)

substitute w = 5x - 4 and l = 5x in the formula

\(A = (5x-4) (5x)\)

Apply distributive law:  a(b-c) = ab - ac

   \(=\left(5x\right)\cdot \:5x-\left(5x\right)\cdot \:4\)

   \(=5x\left(5x\right)-4\left(5x\right)\)

as 5x(5x) = 25x²  and  4(5x) = 20x, so

    \(=25x^2-20x\)

Therefore, the area of the rectangle A =  25x² -  20x

Part a:Linear speed = 62.8 m/minute.

Part b: angular speed ω =  2.09 radian /min.

Part a:Linear speed

Speed = distance /time

distance = circumference of the circle = 2πr

Diameter of the ferris = 60 m

Radius = 60/2 = 30 m.

π = 3.14

circumference = 2 × 3.14 × 30

circumference = 188.4

time  = 3 minutes

Speed = 188.4/3 = 62.8 m/minute.

Part b: angular speed ω

ω = 2π/t

t = 3 minutes = 180 sec

ω = 2 × 3.14/3

ω = 2.09 radian /min

Thus, the angular speed is found as 2.09 radian /min.

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Answer:

the answer is b between 6 and 7

Step-by-step explanation:

i say this because the square root of 41 is 6.4031.

6.4031 is in between 6 and 7.

hope this helps :)

Answer: 20 or 30

Step-by-step explanation: tell if im right

Answer:

13

Step-by-step explanation:

Divide 500 by 40 to find the amount of buses you need

500 ÷ 40 = 12.5

BUT, you cannot have .5 of a bus! So you need ONE extra bus to hold the remaining people

you'll need 13 buses

Answer:

13 buses

Step-by-step explanation:

12 buses but 20 people left so they need 12 buses, and the 13th bus will be half filed.

Total cups of trail mix which Orly makes if she uses 8 cups of raisins will be 48 cups.

To answer the question, we need to form an equation. An equation is a set of variables which are constrained through a situation or case. To form an equation, first, we have to determine the known quantities and label the unknown quantity as a variable.

In this case, given information that Orly uses 2 cups of raisins to make 12 cups of trail mix.

So, if 2 cups of raisins ⇔ 12 cups of trail mix;

Then, if we multiply by 4, it will be:

2 x 4 cups of raisins ⇔ 12 x 4 cups of trail mix

8 cups of raisins ⇔ 48 cups of trail mix

Thus, the number of cups of trail mix which Orly could make if she uses 8 cups of raisins will be 48 cups.

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Answer: ≈ 185.73009

Step-by-step explanation:

area of square: \(length^{2}\)

area of circle: \(\frac{radius^{2} * \pi }{y}\)

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

\(15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}\) ≈ 185.73009

hope it helps!

Please mark as brainliest.

The true statements are (A) 30×400 ml equal the total number of milliliters for 30 bowls of soup

(B) 30 bowls of soup hold 12,000 ml, which is same as 12 Litres

(C) Noah can multiply the number of bowls of soup by 1,000 to find the number of litres

(D) If each family member has 2 bowls of soup , Noah need to make 24 litres of soup

There are 30 people and each person is served soup in a 400 ml bowl, so the total amount of soup needed is 30 × 400 ml = 12,000 ml.

Option A is true

30 bowls of soup hold 30 × 400 ml = 12,000 ml, which is the same as 12 litres (since 1 litre = 1,000 ml).

Option B is true

Since 1 litre = 1,000 ml

Noah can multiply the number of bowls of soup by 1,000 to find the number of litres.

For example, 30 bowls of soup hold 12,000 ml = 12 litres.

Option C is true

If each family member has 2 bowls of soup, then the total amount of soup needed is

30 × 2 × 400 ml

= 24,000 ml, which is 24 litres (since 1 litre = 1,000 ml).

Option D is true.

Noah needs to make 24 litres of soup, and each pot contains 6 litres of soup.

Therefore, he would need to make 24 ÷ 6 = 4 pots of soup to serve each family member 2 bowls of soup.

Option E is false.

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Noah is making soup for a family reunion of 30 people. Each pot he makes contains 6 liters of soup. He uses bowl that 400mL to serve the soup to his family

Select all the true statements

(A) 30×400 ml equal the total number of milliliters for 30 bowls of soup

(B) 30 bowls of soup hold 12,000 ml, which is same as 12 Litres

(C) Noah can multiply the number of bowls of soup by 1,000 to find the number of litres

(D) If each family member has 2 bowls of soup , Noah need to make 24 litres of soup

(E) Noah would need to make 2 pots of soup for each family member to have 2 bowls of soup

Answer:

L=7 units and B=3 units

Step-by-step explanation:

L=B+4 ... Equation 1

P = 20

P=2(B+L)... Equation 2

20=2(B+B+4)... Substituting equation 1 to equation 2

20=2(2B+4)

20=4B+8

20-8=4B

12=4B

12/4=4B/4

B=3... Solve for B

L=B+4

L=3+4

L=7... Solve for L

A) The resulting hash table with separate chaining is as follows:

[0: (12, e) -> (9, e) -> (12, f)]

[1: (1, a) -> (4, b) -> (17, d) -> (4, g)]

[2: (2, c) -> (19, f) -> (8, c)]

B) The number of collisions that occurred is 4.

A) To construct the hash table using separate chaining with a table size of 10 and the hash function h(x) = (x + 3) % 3, we will insert the key-value pairs in the given order and handle collisions by appending new elements to the end of the linked list in each bucket.

1. (1, a):

  - Hash value: h(1) = (1 + 3) % 3 = 1

  - Insert (1, a) into bucket 1: [1: (1, a)]

2. (4, b):

  - Hash value: h(4) = (4 + 3) % 3 = 1

  - Collision occurs in bucket 1

  - Append (4, b) to the linked list in bucket 1: [1: (1, a) -> (4, b)]

3. (2, c):

  - Hash value: h(2) = (2 + 3) % 3 = 2

  - Insert (2, c) into bucket 2: [1: (1, a) -> (4, b)], [2: (2, c)]

4. (17, d):

  - Hash value: h(17) = (17 + 3) % 3 = 1

  - Collision occurs in bucket 1

  - Append (17, d) to the linked list in bucket 1: [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c)]

5. (12, e):

  - Hash value: h(12) = (12 + 3) % 3 = 0

  - Insert (12, e) into bucket 0: [0: (12, e)], [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c)]

6. (9, e):

  - Hash value: h(9) = (9 + 3) % 3 = 0

  - Collision occurs in bucket 0

  - Append (9, e) to the linked list in bucket 0: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c)]

7. (19, f):

  - Hash value: h(19) = (19 + 3) % 3 = 2

  - Insert (19, f) into bucket 2: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c) -> (19, f)]

8. (4, g):

  - Hash value: h(4) = (4 + 3) % 3 = 1

  - Collision occurs in bucket 1

  - Append (4, g) to the linked list in bucket 1: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d) -> (4, g)], [2: (2, c) -> (19, f)]

9. (8, c):

  - Hash value: h(8) = (8 + 3) % 3 = 2

  - Collision occurs in bucket 2

  - Append (8, c) to the linked list in bucket 2: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d) -> (4, g)], [2: (2, c) -> (19, f) -> (8, c)]

10. (12, f):

   - Hash value: h(12) = (12 + 3) % 3 = 0

   - Collision occurs in bucket 0

   - Append (12, f) to the linked list in bucket 0: [0: (12, e) -> (9, e) -> (12, f)], [1: (1, a) -> (4, b) -> (17, d) -> (4, g)], [2: (2, c) -> (19, f) -> (8, c)]

The resulting hash table with separate chaining is as follows:

[0: (12, e) -> (9, e) -> (12, f)]

[1: (1, a) -> (4, b) -> (17, d) -> (4, g)]

[2: (2, c) -> (19, f) -> (8, c)]

B) The number of collisions that occurred is 4.

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Corrected Question

Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 3/4 kilogram each. How many bags does he pack?

Answer:

C. 32 bags

Step-by-step explanation:

Total Weight of Bag bought =24 kilograms

Since Garth wants to repack the candy into small bags of 3/4 kg, we simply divide 24 by 3/4 to obtain the number of small bags.

\(24 \div \dfrac{3}{4}= 24 X \dfrac{4}{3}\\=32\)

There will be 32 small bags of 3/4 kg.

The correct option is C.

Answer: 199.5 ft

Step-by-step explanation:

Given: A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she went down 58 ft.

If she was 141.5 ft below sea level after she went down , then she had been (141.5 ft + 58 ft) = 199.5 ft below sea level.

Hence, If she was 141.5 ft below sea level after she went down , then she had been 199.5 ft below sea level.

Answer:

\(\boxed{\tt y=48}\)

Step-by-step explanation:

\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)

Cross multiply:-

\(\tt 3 \times y=(9)\times (16)\)

\(\tt 3y=144\)

Divide both sides by 3:-

\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)

Simplify:-

\(\tt y=48\)

_________________

Hope this helps!

Answer:y=48 I hope this is helpful good luck have a good day

Step-by-step explanation:

3/16 = 9/y

Determine the defined range

3/16=9/y y=0 cross out the equal sign y=0

Simplify the equation using cross-multiplication

3y=144

Divide both sides of the equation by 3

y=48

Check if the solution is in the defined range

Jaden can complete 144 laps in 18 minutes if he maintains the same rate.

If Jaden completes 40 laps in 5 minutes, we can calculate his lap rate by dividing the number of laps by the time taken:

Lap rate = Number of laps / Time

Lap rate = 40 laps / 5 minutes

Lap rate = 8 laps/minute

Now, let's calculate how many laps Jaden can complete in 12 minutes:

Number of laps = Lap rate * Time

Number of laps = 8 laps/minute * 12 minutes

Number of laps = 96 laps

Jaden can complete 96 laps in 12 minutes if he maintains the same rate.

Similarly, let's calculate how many laps Jaden can complete in 18 minutes:

Number of laps = Lap rate * Time

Number of laps = 8 laps/minute * 18 minutes

Number of laps = 144 laps

Jaden can complete 144 laps in 18 minutes if he maintains the same rate.

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2 ( 3y + 10)

Use 2 to multiply both 3y and 10

Therefore, you have

2 x 3y + 2 x 10

6y + 20

The statement "crud matrices are created by creating a matrix that lists the classes across the top and down the side" is true

Crud matrices are created by organizing data into a matrix format where the classes or categories are listed across the top (columns) and down the side (rows).

Each cell in the matrix represents the intersection of a specific class/category from the row and column headers. Crud matrices are commonly used in data analysis to examine the relationships and frequencies between different variables or categories.

A matrix is a group of numbers that are arranged in a rectangular array with rows and columns. The integers make up the matrix's elements, sometimes called its entries. In many areas of mathematics, as well as in engineering, physics, economics, and statistics, matrices are widely employed.

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Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study.

The experimental design is the framework of any scientific experiment that outlines the different steps that will be used to conduct the research. In psychology, experiments typically involve comparing two or more groups of participants that have been assigned to different experimental conditions.Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study. If participants were allowed to choose their own group, there is a high likelihood of self-selection bias.

This is a type of bias that occurs when participants are allowed to choose their own groups. In most cases, the participants choose groups that they feel are more beneficial to them. This means that the results of the experiment may be biased towards the preferences of the participants. Random allocation of participants to different groups ensures that any differences between the groups are not due to differences in the participants' characteristics and are due to the independent variable.

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Answer:

x=2

Step-by-step explanation:

2(x+6)/4=3x-2

In math we always use the distributive property first to get rid of the "( )"

2(x+6)/4 = (2x+12)/4

Now the second step is to solve the linear equation: (2x+12)/4=3x-2

First to get rid of the /4, we can multiply both sides by 4.

We will be left with 2x+12=12x-8

Just simply solve the linear equation by combining like terms:

2x+12=12x-8 is   20=10x

Therefore x=2

The best recommendation in this scenario would be to increase the sample size.

Increasing the level of confidence for the interval (option a) would actually make the interval wider, which is the opposite of what the user wants.

Reducing the population variance (option b) might help in reducing the width of the interval, but it is not something that can be easily controlled or manipulated.

Decreasing the sample size (option c) would likely result in a less precise estimate and potentially wider intervals.

On the other hand, increasing the sample size (option d) would generally lead to a more precise estimate. As the sample size increases, the standard error of the estimate decreases, resulting in narrower confidence intervals.

By increasing the sample size, the user would be able to obtain more data points and reduce the uncertainty associated with the estimate, leading to narrower confidence intervals and potentially more meaningful results.

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Answer:

11565 km

Step-by-step explanation:

The computation is shown below:

But before reaching the final solution first we need to do the following calculations

The angle lies between the Galapagos  and  Nauru is

= 90° + 166.50°

= 256.5°

Since the sum of angle is 360 degrees

So the major arc and the minor arc is

= 360° -  256.5°

= 103.50°

Now the angles lies between galapagos islands is

= 180°  - 90°

= 90°

And, between the naura island is

= 180°  - 166.50°

= 13.5°

Now the total of this two island is

= 90°  + 13.5°

= 103.5°

The length is

\(= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}\)

= 11565 km

Answer:

C. mass

Step-by-step explanation:

gravity is different on the moon

and weight is different because of that change in gravity

If the bowling ball is placed on the moon, the feature which will stays same,  mass of the ball. So option C is correct

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Given that,

A bowling ball is placed on the moon

So, when ball is placed on moon, it affects the following factors,

Force from gravity - On the Earth and on the Moon the gravitational force will be different.

Weight - On the Earth and On the Moon the gravitational acceleration will be different so weight will be different on both the planets.

Mass- It is the property of the object and it is independent from the planets, it will be same on every planet.

Hence, the  Mass is same on both the planets

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Answer:

e2 = 112 + 92 − 2(11)(9)cos(140°)

Answer:

A

Step-by-step explanation:

2020 Edge

A contour map shows level curves of a function on a two-dimensional plane. For the function f(x, y) = x² - y², the contour map consists of hyperbolic curves intersecting at the origin. For the function f(x, y) = xy, the contour map consists of straight lines passing through the origin.

(a) For the function f(x, y) = x² - y², we can plot the contour map by considering different values of f(x, y) and drawing the corresponding level curves. The level curves represent points (x, y) where f(x, y) is constant.

Starting with f(x, y) = 0, we have x² - y² = 0, which simplifies to x² = y². This equation represents the x-axis (y = ±x) and the y-axis (x = 0).

For positive values of f(x, y), such as f(x, y) = 1, we have x² - y² = 1. This equation represents hyperbolic curves centered at the origin. As we increase the values of f(x, y), the hyperbolas expand outward from the origin.

Similarly, for negative values of f(x, y), such as f(x, y) = -1, we have x² - y² = -1. This equation also represents hyperbolic curves but mirrored in relation to the positive values.

(b) For the function f(x, y) = xy, the contour map consists of straight lines passing through the origin. To plot the contour map, we consider different values of f(x, y) and draw the corresponding lines.

For f(x, y) = 0, we have xy = 0, which means either x = 0 or y = 0. This represents the x-axis (y = 0) and the y-axis (x = 0).

For positive values of f(x, y), such as f(x, y) = 1, we have xy = 1. This equation represents lines with positive slope passing through the origin.

For negative values of f(x, y), such as f(x, y) = -1, we have xy = -1. This equation represents lines with negative slope passing through the origin.

The contour map for f(x, y) = xy consists of straight lines emanating from the origin, forming a set of intersecting lines with varying slopes.

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The slope (m) of the line is 19 and the y-intercept (b) is -4. The equation of the line can be expressed as y = 19x - 4.

The slope (m) of a straight line can be calculated using the formula:

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

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Using the given points (3, 53) and (5, 91), we can substitute the values into the formula:

m = (91 - 53) / (5 - 3)

m = 38 / 2

m = 19

Therefore, the slope (m) of the straight line is 19.

To determine the y-intercept (b), we can use the slope-intercept form of a linear equation:

y = mx + b

where m is the slope and b is the y-intercept.

Using the point (3, 53) and the slope we just calculated (m = 19), we can substitute the values into the equation:

53 = 19(3) + b

53 = 57 + b

Now, solving for b:

b = 53 - 57

b = -4

Therefore, the y-intercept (b) of the straight line is -4.

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No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero

A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.

Given,

No, X or y-axis scale does not have to always start at zero.

A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.

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Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

C. 3x + 5  = 2x -6

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

just took the test yyyyyyyyyyyyyyyyyyyyyyyyy

Answer: 24

Step-by-step explanation:

1. Number Them

Elf and Dwarf = 1

Hobbit = 2

Wizard = 3

Man = 4

* Elf and Dwarf are put together so that they are always sitting together

2. Multiply

1 x 2 x 3 x 4 = 24