Quadrilateral ABCD is rotated 270° clockwise about the origin. What are the
coordinates of quadrilateral A'B'C'D?
D
015. - 1
C(1-2)
B(1-5)
A/5.5
O A. A (5,5), B' (1,5), C' (1,2), D' (5, 1)
B. A'(-5, -5), B'(-1,-5), C'(-1,-2).
D'(-5, -1)
C. A (5,5), B'(5,1), C'(2,1), D (1,5)
D. A'(-5,5), B'(-1,5), C'(-1,2).
D'(-5,1)

Out of the four options provided, Rome had the most influence on the structure of the U.S. government.

The Founding Fathers studied the government systems of ancient Greece and Rome and incorporated aspects of their political systems, such as a bicameral legislature and the concept of a republic, into the design of the U.S. government. Additionally, the U.S. system of checks and balances, which ensures no one branch of government has too much power, can be traced back to Roman political ideas. In short, the Roman civilization played a significant role in shaping the structure of the U.S. government. Key aspects of the U.S. system, such as separation of powers and the system of checks and balances, have been inspired by Roman political principles. Additionally, the concept of a representative democracy with elected officials can be traced back to the Roman Republic.

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Answer:

Proportional

Step-by-step explanation:

Let's test this out. So for example you have the fractions: 12/30 and 18/?

Let's solve for ?

12 - 18

30 - ?

Solve: 30×18÷12=45

In the problem it also said 45 on the bottom, so yah they are proportional.

Answer:

\(0.2^{3}\)

Step-by-step explanation:

this should be the form :)

0.2\(x^{3}\)

Step-by-step explanation:

The price of the TV when purchased online and at the superstores will be $325 and $350, respectively. The cost of the TV at the online retailer is cheaper.

The amount of any product is given as though it was a proportion of a hundred.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Television from the manufacturer costs $250. A 30% markup is typical for an online shop, whereas a 40% markup is typical for a superstore.

The price of the TV when purchased online is given as,

⇒ $250 x 1.30

⇒ $325

The price of the TV when purchased at the superstores is  given as,

⇒ $250 x 1.40

⇒ $350

The cost of the TV at the online retailer is cheaper.

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Answer:

25

Step-by-step explanation:

\( \sf Answer \begin{cases}\sf \rightarrowtail \:( 3x - 6) + (2x + 25) + (x + 11) = 180 \\ \sf \rightarrowtail \: 3x - 6 + 2x + 25 + x + 11 = 180 \\ \sf \rightarrowtail \: 3x + 2x + x - 6 + 25 + 11 = 180 \\ \sf \rightarrowtail \: 6x + 30 = 180 \\ \sf \rightarrowtail \: 6x = 180 - 30 \\ \sf \rightarrowtail \: 6x = 150 \\ \sf \rightarrowtail \: x = \frac{150}{6} \\ \sf \rightarrowtail \: x = 25\end{cases}\)

Answer:

Brainliest Please!!

Step-by-step explanation:

that Randy walks around the rectangle city block for a total of 160 meters.

To arrive at this answer, we first need to find the perimeter of the rectangle. We can do this by adding up the lengths of all four sides.

The length of the side from (-5, -2) to (-5, 9) is 110 units (since each unit represents 10 meters), the length of the side from (-5, 9) to (9, 9) is 140 units, the length of the side from (9, 9) to (9, -2) is also 110 units, and the length of the side from (9, -2) to (-5, -2) is 140 units.

Adding these up, we get:

110 + 140 + 110 + 140 = 500

Therefore, the perimeter of the rectangle is 500 units or 5000 meters (since each unit represents 10 meters).

However, Randy walks all the way around the block, so we need to double this perimeter to get the total distance he walks:

2 * 500 = 1000

Therefore, Randy walks for a total of 1000 units or 10,000 meters.

Randy walks around the rectangle city block for a total of 160 meters.

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This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.

- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.

- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.

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The height of the conical tent is 15 metres.

acc toour question-

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There are two equations given in the question -

1.

\(f(x \: y) = \sqrt{2x - y} \)

2.

\(f(x \: y) = (9 - x {}^{2} - 9y {}^{2} )\)

So, If we are taking the first equation,

It is found imposing that the argument of the square root function is not negative,

\(2x - y \geqslant 0 \: which \: means \: y \leqslant 2x\)

And, the second Equation is found imposing that the argument of the logarithm is negative,

\(9 - x {}^{2} - 9y {}^{2} > 0 \: which \: means \: x {}^{2} + 9y {}^{2} < 9\)

The domains of the functions at poitns 1) and 2) are reported in the figure.

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To find the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company, we can use the following formula: CI = X ± Zα/2 * (σ/√n).

Where:

X = sample mean = 325.5 mg
σ = sample standard deviation = 10.3 mg
n = sample size = 80
Zα/2 = the critical value of the standard normal distribution corresponding to a 90% confidence level, which is 1.645.

Plugging in the values, we get:

CI = 325.5 ± 1.645 * (10.3/√80)
CI = 325.5 ± 2.38
CI = (323.12, 327.88)

Therefore, we can say with 90% confidence that the mean amount of drug in all the pills manufactured by the company is between 323.12 mg and 327.88 mg.


1. Calculate the standard error (SE) by dividing the standard deviation by the square root of the sample size:
SE = 10.3 mg / √80 ≈ 1.15 mg

2. Find the critical value (z) for a 90% confidence interval using a standard normal distribution table or calculator. In this case, the critical value is approximately 1.645.

3. Calculate the margin of error (ME) by multiplying the critical value (z) by the standard error (SE):
ME = 1.645 × 1.15 mg ≈ 1.89 mg

4. Determine the confidence interval by adding and subtracting the margin of error from the sample mean:
Lower Limit = 325.5 mg - 1.89 mg ≈ 323.61 mg
Upper Limit = 325.5 mg + 1.89 mg ≈ 327.39 mg

Thus, the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company is approximately 323.61 mg to 327.39 mg.

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Different triangles with the same areas include:

Right angle triangle: base = 6, height = 4

Acute triangle: base = 8, height = 3

Obtuse triangle: base = 16, height = 1.5

To create a right angle triangle, an acute triangle, and an obtuse triangle that all have the same area, we can use the following dimensions:

Right triangle: base = 6, height = 4

Acute triangle: base = 8, height = 3

Obtuse triangle: base = 16, height = 1.5

We can calculate the area of each triangle using the formula A = 1/2 (base x height):

Right triangle: A = 1/2 (6 x 4) = 12

Acute triangle: A = 1/2 (8 x 3) = 12

Obtuse triangle: A = 1/2 (16 x 1.5) = 12

Therefore, we can see that all three triangles have the same area, which is 12 square units. We know this because they all have the same base-to-height ratios, which means they have the same "steepness" or "slope". This means that the area of each triangle is proportional to its base and height, and since they all have the same ratio of base to height, they will all have the same area.

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Answer:

its d..................

The sum of the expressions (-10x³ + 4x + 5) + (5x² - 2x) is -10x³ + 5x² + 2x + 5.

Thus, option (D) is correct.

In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, division, and exponentiation) that represents a mathematical statement.

To find the sum of the given expressions (-10x³ + 4x + 5) and (5x² - 2x).

Simply combine like terms:

(-10x³ + 4x + 5) + (5x² - 2x)

Combining the like terms, we have:

-10x³ + 5x² + (4x - 2x) + 5

Simplifying further, we get:

-10x³ + 5x² + 2x + 5

Therefore, the sum is: \(-10x^3 + 5x^2 + 2x + 5\).

Thus, option (D) is correct.

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Answer:

469.9 ft^2

Step-by-step explanation:

The rate at which soil covers the garden is:

  125.3 ft^2  /  (1 bag)

If Stephanie has 3 3/4 bags of soil to start with, the area she can cover with this soil is (rate)(number):

   125.3 ft^2          15 bags

------------------- * ---------------- = 469.9 ft^2 can be covered with 3 3/4 bags

        1 bag                  4

Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

If two lines intersect, then the vertical angles formed must be both equal in measure.

The  intersection of a line can be described as when two or more lines cross each other in a plane as a result of this they are been referred to as   intersecting lines.

Therefore, intersecting lines share a common point, hence , If two lines intersect, then the vertical angles formed must be both equal in measure.

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Answer: ( A )

Step-by-step explanation: basically as the question is what is equivalent to .45 and if you put it like a fraction kinda it will look like this 1\45

Step-by-step explanation:

Half is paid by grandparents :

\( \frac{19700}{2} = 9850\)

Therefore, amount paid by scholarship and grandparents:

\(9850 + 5000 = 14850\)

Find the amount needed to pay :

\(19700 - 14850 = 4850\)

then the student need to save per month :

\(4850 \div 12 = 404.167\)

Therefore the closest minimum is 405 per month

Find parametric equations and a parameter interval for the motion of a particle that starts at (0,a) and traces the circle x2 + y2 = a?

 The parametric equations and parameter intervals for the motion of the particle are as follows:

a. Once clockwise: x = a * cos(t), y = a * sin(t), t in [0, 2π).

b. Once counterclockwise: x = a * cos(t), y = a * sin(t), t in [0, 2π).

c. Two times clockwise: x = a * cos(t), y = a * sin(t), t in [0, 4π).

To find parametric equations and a parameter interval for the motion of a particle that starts at (0, a) and traces the circle x^2 + y^2 = a^2, we can use the parameterization method.

a. Once clockwise:

Let's use the parameter t in the interval [0, 2π) to represent the motion of the particle once clockwise around the circle.

x = a * cos(t)

y = a * sin(t)

b. Once counterclockwise:

Similarly, using the parameter t in the interval [0, 2π) to represent the motion of the particle once counterclockwise around the circle:

x = a * cos(t)

y = a * sin(t)

c. Two times clockwise:

To trace the circle two times clockwise, we need to double the interval of the parameter t. Let's use the parameter t in the interval [0, 4π) to represent the motion of the particle two times clockwise around the circle.

x = a * cos(t)

y = a * sin(t)

Therefore, the parametric equations and parameter intervals for the motion of the particle are as follows:

a. Once clockwise: x = a * cos(t), y = a * sin(t), t in [0, 2π).

b. Once counterclockwise: x = a * cos(t), y = a * sin(t), t in [0, 2π).

c. Two times clockwise: x = a * cos(t), y = a * sin(t), t in [0, 4π).

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The domain choice that is a possibility is A. A. Real numbers greater than 0.

A continuous function in mathematics is one in which a continuous variation of the argument causes a continuous variation of the function's value. This means that there are no abrupt changes in value, which are referred to as discontinuities.

Option A: Real numbers greater than zero:

Because real numbers are continuous functions, the greater than zero part of them can be used to represent the balance sheet.

Option B: Use only whole numbers: It is not possible.

Whole numbers are discrete, not continuous, and thus cannot represent decimal points.

Option C: Integers: Invalid

Because integers are discrete rather than continuous, they cannot represent decimal points.

Natural numbers are not an option.

Natural numbers, like whole numbers, are discrete rather than continuous and cannot represent decimal points.

In conclusion, the correct option is A.

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Answer:

(4,8)

Step-by-step explanation:

The solution is where the two lines intersect.

The graphs intersect at x=4 and y = 8

(4,8)

Answer:    B: (4,8)

Step-by-step explanation:

y = 3x +2           you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.

y = -6x + 32

you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1

Answer:

(2,7), (6,-2),

Step-by-step explanation:

After finding the points you plug them in to the distance formula:

d=√((x2-x1)²+(y2-y1)²)

d=√[(6-2)²+(-2-7)²]

Answer: 83

Step-by-step explanation:

A triangle is always 180 degrees

You know the measure of 2 angles (44 and 53).  You need the 3rd.

180 - 44 - 53 = 83

The maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

To determine the maximum mass of the water bug that avoids sinking, we need to consider the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the bug.

Calculate the volume of water displaced:

The bug's weight is balanced by the buoyant force, so the volume of water displaced is equal to the volume of the bug.

Each leg has a length of 5 mm, which means the total height of the bug is 5 mm. Assuming the cross-sectional area of the bug is constant along its height, we can use the formula for the volume of a cylinder to calculate the volume:

Volume = π * radius^2 * height

Since each leg is cylindrical, the radius would be half the leg's diameter, which is 5 mm (or 0.005 m).

Therefore, the volume of water displaced by the bug is:

Volume = π * (0.005 m)^2 * 0.005 m

Calculate the weight of the water displaced:

The weight of the water displaced is equal to the buoyant force acting on the bug.

Weight of water displaced = density of water * volume of water displaced * acceleration due to gravity

The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.8 m/s².

So, the weight of the water displaced is:

Weight of water displaced = 1000 kg/m³ * Volume * 9.8 m/s²

Calculate the maximum mass of the bug:

The maximum mass of the bug is the mass at which its weight equals the weight of the water displaced:

Maximum mass = Weight of water displaced / acceleration due to gravity

Maximum mass = (1000 kg/m³ * Volume * 9.8 m/s²) / 9.8 m/s²

Now, let's plug in the values and calculate the maximum mass of the bug:

python

import math

radius = 0.005  # in meters (5 mm)

height = 0.005  # in meters (5 mm)

density_water = 1000  # in kg/m³

acceleration_due_to_gravity = 9.8  # in m/s²

volume = math.pi * radius**2 * height

weight_of_water_displaced = density_water * volume * acceleration_due_to_gravity

maximum_mass = weight_of_water_displaced / acceleration_due_to_gravity

maximum_mass_grams = maximum_mass * 1000  # converting to grams

print("Maximum mass of the bug to avoid sinking:", maximum_mass_grams, "grams")

Using the above calculations, the maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

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Answer:

Total number of students= 5

Each ate = 2/3

Total amount eaten=?

Then,

2/3×5

=10/3

Hence 10/3 is the total amount eaten.

Answer: 35.54

Step-by-step explanation:

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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