Please help I need it

There are three ways to name an angle--by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

You can name a specific angle by using the vertex point, and three points on each of the angle's rays or by letter or number written. The name of the angle is simply the three letters representing those points, with the vertex point listed in the middle. You can also name angles by looking at their size. Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.

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To determine the sample size necessary for this study, we use the formula: n = (Z^2 * p * q) / E^2. The necessary sample size is approximately 1091.

Where:
- n = sample size
- Z = Z-score for the desired confidence level (98% confidence level corresponds to a Z-score of 2.33)
- p = estimated proportion (based on the information given, p = 0.8)
- q = 1 - p
- E = desired margin of error (3 percentage points)

Plugging in the values:

n = (2.33^2 * 0.8 * 0.2) / 0.03^2
n = 806.67

Rounding up to the nearest whole number, we get a sample size of 807. Therefore, the researcher needs to survey at least 807 women to be 98% confident that the proportion of women who wear shoes that are too small is within 3 percentage points of the true proportion.

To determine the necessary sample size for this study, we can use the formula for sample size calculation in proportion estimation:

n = (Z^2 * p * q) / E^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, p is the estimated proportion, q is the complement of the proportion (1 - p), and E is the margin of error.

In this case, we have:
- Confidence level: 98%, which corresponds to a Z-score of 2.33 (from the standard normal distribution table)
- Estimated proportion (p): 80% or 0.80
- Complement of the proportion (q): 1 - 0.80 = 0.20
- Margin of error (E): 3 percentage points or 0.03

Now, we can plug these values into the formula:

n = (2.33^2 * 0.80 * 0.20) / 0.03^2
n ≈ 1090.65

Since we need to round to the nearest whole number, the necessary sample size is approximately 1091.

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Answer:

could be 109

Step-by-step explanation:

you would need to do

10m x 21.8m = 218

218÷2=109

this is because the first step would make it the area of a square, therefore you would need to half it so that it would become equal to a triangle, not a square

formula = base x hight

2

Answer:

Step-by-step explanation:

To find the standard form equation for a hyperbola, we can start by determining the center of the hyperbola. The center is the midpoint between the vertices, which in this case is at (0, 0).

The given asymptote equation is y = 2/3. Since the asymptotes of a hyperbola pass through the center, we can write the equation of the asymptotes in the general form as (y - k) = ±(a/b)(x - h), where (h, k) represents the center and a/b represents the ratio of the distance from the center to a vertex to the distance from the center to a co-vertex.

Using the given asymptote equation y = 2/3, we can substitute the values of the center (h, k) = (0, 0) and the ratio a/b = 8/2 = 4 into the equation:

(y - 0) = ±(4/2)(x - 0)

y = ±2x

Now, we can write the standard form equation for the hyperbola using the center (h, k) = (0, 0) and the values of a and b (which are equal since the hyperbola is symmetric):

(x - h)^2/a^2 - (y - k)^2/b^2 = 1

(x - 0)^2/4^2 - (y - 0)^2/4^2 = 1

x^2/16 - y^2/16 = 1

Therefore, the standard form equation for the hyperbola is x^2/16 - y^2/16 = 1.

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Answer:

Step-by-step explanation:

In each case, square the coordinates of the point and determine whether or not the sum of these squares is 1:

A)  4/9 + 5/9 = 9/9  YES

B)  1 + 1 = 2 NO

C) 3/4 + 1/9 Not equal to 1.  NO

D) 0.64 + 0.36 = 1.00 YES

HENCE OPTION B(1,1) IS CORRECT

What is unit circle?

A unit circle is a circle with a radius of one, as defined by mathematics. The unit circle is a circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane, which is used frequently in trigonometry.

How to solve?

Clearly from the given options (1,1 ) will lie on the circle , Hence option b (1,1) is correct .

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After the partitioning algorithm has completed, the low partition would be (27, 56, 46, 57) and the high partition would be (99, 77, 90).

Explanation: In the quicksort algorithm, partitioning is an important step. The partition algorithm in quicksort chooses an element as a pivot element and partition the given array around it.

In this way, we will get a left sub-array that consists of all elements less than the pivot, and the right sub-array consists of all elements greater than the pivot. If the pivot element is selected randomly, then quicksort performance would be O(n log n) in the average case.

In the given question, the given numbers are (27, 56, 46, 57, 99, 77, 90), and the pivot element is 77.To partition this array, the following steps are followed.

1. The left pointer will point at 27, and the right pointer will point at 90.

2. Increment the left pointer until it finds an element that is greater than or equal to the pivot element.

3. Decrement the right pointer until it finds an element that is less than or equal to the pivot element.

4. If the left pointer is less than or equal to the right pointer, swap the elements of both pointers.

5. Repeat steps 2 to 4 until left is greater than right.

In the given question, the left pointer will point at 27, and the right pointer will point at 90. Incrementing the left pointer will find the element 56, and the decrementing the right pointer will find the element 77.

As 56 < 77, swap the elements of both pointers. In this way, partitioning continues until left is greater than right. Now, the array will be partitioned into two sub-arrays.

The left sub-array will be (27, 56, 46, 57), and the right sub-array will be (99, 77, 90).

So the low partition is (27, 56, 46, 57), and the high partition is (99, 77, 90).

Therefore, the answer is: low partition (27, 56, 46, 57) and high partition (99, 77, 90).

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A proportional (P) controller is used to regulate the position of the carriage x(t) when f(t) = 0, provided that a position sensor with a transfer function H(s) = S + 1 is available.

The transfer function of the plant is given by:

`V(s)/X(s) = 53s^2 + 10.592s + 555`We must first determine the closed-loop transfer function T(s).T(s) = H(s) G(s) / [1 + H(s) G(s)]

where G(s) = KP is the transfer function of the proportional controller.Hence, T(s) = KP (S + 1) / [KP (S + 1) + 53 S^2 + 10.592 S + 555]At s = jω (where j = sqrt(-1)), the magnitude of T(s) is given by:

|T(jω)| = K / √[(ω^4 + 107.184ω^2 + 2915.025) + (KPω^3 + 53ω^2 + 10.592ω + KP) ^2]Let's choose KP such that the system is marginally stable, that is, the closed-loop transfer function T(s) has a unit gain margin, i.e.|T(jω)| = 1, or|T(jω)|^2 = 1

From the above equation, we can calculate the value of KP that produces the unit gain margin for the given system. Substituting the above equation, we get:

KP^2 ω^6 + KPω^3 (53 - 1) + ω^4 + 107.184ω^2 + 2915.025 = 0

We are interested in finding the value of KP such that the root of the above polynomial has a multiplicity of two at s = jω, i.e. it is a double root or pole of the closed-loop system. By setting Δ = b^2 - 4ac = 0, we obtain the quadratic equation in KPω^3,0 = (52)^2 - 4 (1) (ω^4 + 107.184ω^2 + 2915.025)

Therefore, ω = 8.201 rad/sKP = 1.93

From the transfer function of the closed-loop system, we can now find the value of the pole(s).The characteristic polynomial of the closed-loop system is:

P(s) = KP (S + 1) + 53 S^2 + 10.592 S + 555By substituting KP = 1.93 in P(s), we obtain:

P(s) = 1.93 (S + 1) + 53 S^2 + 10.592 S + 555

This can be factored to obtain the poles of the system:

P(s) = (S + 11.18) (S + 0.132)

The poles of the system are -11.18 and -0.132.

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Answer:

1)4,5,8

2)3,6,7

3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7

Answer:

\(\mathbf{- 20 \pi + \dfrac{40}{3}}\)

Step-by-step explanation:

Given that:

\(\int\limits_c {F} \, dr\)

where;

\(F(x,y) = \langle\sqrt{x} + 10y^3+10y^2 + \sqrt{y} \rangle\) and C consist of the arc of the curve, This shows that C is a closed curve.

Thus, using Green's theorem for clockwise orientation.

\(\int \limits_CF. dr = \iint_D \Biggl \langle \dfrac{\partial Q}{\partial X} - \dfrac{\partial P }{\partial Y} \Biggl \rangle dA\)

Then;

\(F(P,Q) = \langle\sqrt{x} + 10y^3+10y^2 + \sqrt{y} \rangle\)

\(\int \limits _CF. dr = -\iint_D \Biggl \langle \dfrac{\partial}{\partial} ( 10x^2 + \sqrt{y} -\dfrac{\partial}{\partial y } ( \sqrt{x} + 10y^3) \Biggl \rangle dA\)

\(\int \limits _CF. dr = -\iint_D \Biggl \langle 10(2x)-10(3y^2) \Biggl \rangle dA\)

\(\int \limits _CF. dr = \iint_D \Big \langle -20x+30y^2 \Big \rangle dA\)

y → 0 to sin (x)        x → 0 to π

\(\int \limits _CF. dr = \int \limits ^{\pi}_{0} \int \limits ^{sin \ x }_{0} \Big \langle -20x+30y^2 \Big \rangle dydx\)

\(\int \limits _CF. dr = \int \limits ^{\pi}_{0} \Biggl [ -20xy + \dfrac{30 \ y^3}{3} \Biggl ] ^{sin\ x}_{0} \ dx\)

\(\int \limits _CF. dr = \int \limits ^{\pi}_{0} \Big [ -20x \ sin x + 10 \ sin^3x \Big ] \ dx\)

replace \(sin^3 x = \dfrac{3}{4} \ sin x - \dfrac{1}{4} \ sin (3x)\)

\(= \int \limits ^{\pi}_{0} -20 x sin x dx + \int \limits ^{\pi}_{0} 10(\dfrac{3}{4} sin x - \dfrac{1}{4} sin (3x) ) \ dx\)

By applying integration by posits

\(\int (u)(v') \ dx = (u)(v) - \int (u') (v) \ dx \\ \\ u = -20x \ \ \ \ \ \ \ v'= sin \ x \\ \\ u' = -20 \ \ \ \ \ \ \ v = - cos \ x\)

\(= (-20x) (-cos x) - \int (-20)(-cos x) \ dx + 10 \Big [\dfrac{3}{4} \ cos x + \dfrac{1}{12}\ cos (3x) \Big ]\)

\(= 20x \ cos x - 20 \ sin x- \dfrac{15}{2} \ cos \ x + \dfrac{5}{6} \ cos (3x) \Biggl |^{\pi}_{0}\)

\(= ( -20 \pi -0 +\dfrac{15}{2}-\dfrac{5}{6}) - (0-0-\dfrac{15}{2}+\dfrac{5}{6})\)

\(= - 20 \pi + \dfrac{15}{2}-\dfrac{5}{6}+\dfrac{15}{2}-\dfrac{5}{6}\)

\(\mathbf{= - 20 \pi + \dfrac{40}{3}}\)

Answer:

D. (3, 4, 5)

Step-by-step explanation:

\(5 = \sqrt{ {(3)}^{2} + {(4)}^{2} } \\ 5 = \sqrt{9 + 16} \\ 5 = \sqrt{25 } \\ 5 = 5\)

Answer:

4.24

Step-by-step explanation:

3.64 + 3/5

3.64 + 0.6 <--- 3/5 = 0.6 as a decimal

= 4.24 <--- Final answer

Answer:

-125/462.

Step-by-step explanation:

5/22 + 3/7 + (-8/21) + (-6/11)

= 5/22 - 6/11 + 3/7 - 8/21        The LCM of 11 and 22 is 22 and of 7 & 21= 21:

= 5/22 - 12/22 + 9/21 - 8/21

= 1/21 - 7/22                              The LCM of 21 and 22 is 462:

= 22/462 - 147/462

= -125/462.

Answer:

AAS

ANGLE ANGLE SIDE.........

Answer:

So say you have a number like 94, the nearest ten to that number would be 90, instead of 100

Step-by-step explanation:

All u have to do is remember that anything lower than five is closer to90, and that anything above five is closer to 100

Example: Round 47 to he nearest ten.

Answer: 50

I hope I helped you

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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The vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4) is:

x = 1 + 5t

y = 1 - 10t

z = -1 + 5t

To find a vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4), we can use the vector equation of a line:

r = a + t * d

where r is the position vector of any point on the line, a is a known point on the line, t is a parameter, and d is the direction vector of the line.

First, let's find the direction vector d. We can subtract the coordinates of the two points to obtain the direction vector:

d = (6, -9, 4) - (1, 1, -1)

= (5, -10, 5)

Now, we can choose one of the given points, say (1, 1, -1), as our known point a.

Substituting these values into the vector equation, we have:

r = (1, 1, -1) + t * (5, -10, 5)

So, the vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4) is:

x = 1 + 5t

y = 1 - 10t

z = -1 + 5t

where t is a real number that can vary to give different points along the line.

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True

In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.

When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.

The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.

If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.

If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.

In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.

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Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer: m<c is 57 degrees

Step-by-step explanation: A parallelogram must have equivalent opposite interior angles, and <c is a diagonal to <a

therefore its 57

Hope this helps! <3

The equation whigh relates x and y points along the incline is: y = 2x - 3

We know that the general form of a slope - intercept form of equation of line is :

y = mx + c

m = slope

and c = y-intercept

We know that slope is nothing but angle of incline.

From figure we can observe that the line passes through points (3, 3) and (6, 9)

Using the formula of slope,

m = (9 - 3) / (6 - 3)

m =  6/3

m = 2

So the equation of line would be

y = 2x + c

As line passes though point (3, 3),

3 = 2(3) + c

3 = 6 + c

c = - 3

So, the equation that relates x and y for points along the incline is:

y = 2x - 3

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The complete question is:

All three points displayed are on the line. you'll need to write an equation that relates x and y for points along the incline. what is this equation?

Answer:

16)

17)

18)

To find the restricted range for the inverse function of sine, we represent y as follows: (y = sin⁻¹x) is [-π/2, π/2].

To find the restricted range for the inverse function of cosine, we would have;  (y = cos⁻¹x) is [0, π]

The restricted range refers to the ability to specify a function criterion such that the population data would meet that criterion. For the above problem, we are to get the inverse functions of sine and cosine by restricting the range.

This can be obtained as follows:

[-π/2, π/2] for the function sine and

[0, π] for the function cosine.

Thus, the restricted ranges are  [-π/2, π/2] and  [0, π] respectively.

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Correct option is A. "charge" most nearly means responsibility

Option A is good to go, as in the context of the passage "during the drive to the Quabarl mansion Lady Carlotta was impressively introduced to the nature of the charge that had been thrust upon her; she learned that Claude and Wilfrid were delicate, sensitive young people, that Irene had the artistic temperament highly developed, and that Viola was something or other else of a mould equally commonplace among children of that class and type in the twentieth century.

As it is explained in the paragraph that while driving to Quabarl mansion she was carrying responsibility towards the Claude and Wilfrid  as they are small children, sensitive people.

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Answer:

10 because there there are 2 ten

Answer:

The value of x is 40°

Step-by-step explanation:

The triangle described in the text of the question is shown in the image attached.

Note the angles x and 4x-20 are supplementary since they form a line. Thus:

x + 4x - 20 = 180

Simplifying:

5x - 20 = 180

Adding 20:

5x = 200

Solving:

x = 200/5 = 40

The value of x is 40°

Answer:

it's 40 degrees

Step-by-step explanation:

Answer:i think its 115 degres

Step-by-step explanation:

Step-by-step explanation:

To answer your question, no. Only when you are multiplying/dividing both sides by a negative number.

0.5x + 1 < 4

0.5x < 3

x < 6.

Explanation:

Divide the number of times blue came up (114) over the number of spins total (180). Ignore the 60% given to you. That's a theoretical value that doesn't play any part in determining an experimental probability.

114/180 = 0.633 approximately

The '3's go on forever. Round that however your teacher instructs.

Answer:

opción D

Step-by-step explanation:

El número más bajo es -2

Número mayor que -2 es -1

Número mayor que -1 es 0

Número mayor que 0 es 4

Entonces, el orden de mayor a menor es 4> 0> -1> -2

Por tanto, la opción D es correcta