use the given values to complete the table create quantities proportional to each other and graph them what's the answer?​

The solution indicates that the point (x,y) is located in the fourth quadrant.

A horizontal axis known as the x-axis and a vertical axis known as the y-axis are used in the Cartesian coordinate system. The x and y variables will both be present in equations for lines in this system. A line in this system would be, for instance, the equation 2x + y = 2.

The x-axis (the horizontally number line) and the y-axis connect to divide the coordinate plane into four equal pieces in the cartesian system (the vertical number line). Due to the fact that each of these four areas takes up one-fourth of the entire coordinate plane, they are referred to as quadrants.

x>0 and y<0 means,

x is positive and y is negative

so, the point (x,y)  lies in 4 th quadrant

To know more about coordinate plane  visit:

https://brainly.com/question/24134413

#SPJ1

The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;

Center (0, 6) and radius 7.5

The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius

The possible equation obtained from a similar question on the internet can be presented as follows;

x² + y² - 12·y - 20.25 = 0

The above equation can be evaluated using the completing the square method and excluding the x² term as follows;

y² - 12·y - 20.25 = 0

y² - 12·y = 20.25

y² - 12·y + (-12/2)² = 20.25 + (-12/2)²

y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25

(y - 6)² = 56.25

Therefore;

y - 6 = √(56.25) = ±7.5

The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²

The center of the circle is therefore;

(h, k) = (0, 6)

The radius of the circle, r = 7.5

The possible correction is therefore, option (a), where the 5 is a typing error

Learn more on the equation of a circle here: https://brainly.com/question/30307148

#SPJ1

Answer:

f(8) = 9

Step-by-step explanation:

f(x)=(x-5)^2

Let x = 8

f(8)=(8-5)^2

     = 3^2

     = 9

Control typically arises when an entity has the power to govern the financial and operating policies of another entity to obtain benefits from its activities. In this case, Radiant Age Berhad initially acquired 30% of the ordinary shares of Glitter Berhad on 1 January 2022.

Acquiring 30% of the ordinary shares indicates a significant ownership stake in Glitter Berhad. However, control is not solely determined by the percentage of shares owned. It also depends on the ability to influence the financial and operating policies of the entity.

Given that Radiant Age Berhad holds a substantive option to acquire another 25% of the ordinary shares, it suggests a potential increase in ownership to a total of 55%. However, the option can only be exercised in 40 days, which is on 12 February 2022.

To determine control, we need to evaluate whether Radiant Age Berhad had the ability to govern the financial and operating policies of Glitter Berhad before exercising the option. Factors such as board representation, voting rights, contractual agreements, and the ability to influence key decision-making are crucial in assessing control.

Since the option to acquire the additional 25% of shares can only be exercised after 12 February 2022, Radiant Age Berhad did not have control over Glitter Berhad before that date. Control would only be established if and when the option is exercised, and Radiant Age Berhad obtains the additional shares, bringing their total ownership to 55%.

It's important to note that control is a complex concept, and the specific details of the option agreement and other factors may influence the determination of control. Professional judgment and a detailed analysis of the circumstances would be necessary to arrive at a conclusive assessment of control in this scenario.

Learn more about Radiant Age Berhad here:

brainly.com/question/32976033

#SPJ11

Using complex numbers and radicals, it is found that the correct option is C.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

The same is valid for radicals, as they are in the \(\pm\) format.

Hence, option C is correct.

For more on complex numbers and radicals, you can check https://brainly.com/question/25173944

The total cost of the carpet is $684.6

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

Dimension of carpet = 7 meters by 12 meters

Also, we have

Cost per unit square = $8.15

The total amount spent is calculated as

Amount = Cost per unit square * Product of dimensions

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

Amount = 8.15 * 7 * 12

Evalyate

Amount = 684.6

HEnce, the total is $684.6

Read more about unit rates at

https://brainly.com/question/19493296

#SPJ1

The correct answer is (a) event. An event is a subset of outcomes from the sample space. It represents a specific outcome or set of outcomes that we are interested in. Events can be simple, consisting of a single outcome, or they can be compound, consisting of multiple outcomes.

For example, consider rolling a fair six-sided die. The sample space is {1, 2, 3, 4, 5, 6}. Let's say we are interested in the event of rolling an even number. The event in this case would be {2, 4, 6}, which is a subset of the sample space.

Events can also be mutually exclusive, meaning they cannot occur at the same time, or they can be independent, meaning the occurrence of one event does not affect the probability of the other event occurring.

In summary, an event is a subset of outcomes from the sample space and represents a specific outcome or set of outcomes that we are interested in. It is an important concept in probability theory.

To learn more about probability here:

brainly.com/question/30924040

#SPJ11

Answer:

100 miles per hour

Step-by-step explanation:

Answer:

100 miles in 1 hour

Step-by-step explanation:

all you have to do is divied 400 and 4

Answer:

Hey there!

n+19=40

  -19=-19

n=21

Let me know if this helps :)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ n = 21}}}}}\)

Step-by-step explanation:

\( \sf{n + 19 = 40}\)

Move 19 to right hand side and change it's sign

⇒\( \sf{n = 40 - 19}\)

Subtract 19 from 40

⇒\( \sf{n = 21}\)

Hope I helped!

Best regards!!

Answer:

Line A is the right answer.

Answer:

a is right linear means straight line

Step-by-step explanation:

Answer:

They are: 114, 18, 204.

If an inequality contains the less than symbol (<) or greater than symbol (>), its graph would be a dotted or dashed line.

This is because these symbols indicate that the boundary line is not included in the solution set. For example, the inequality x > 3 would have a dotted line at x = 3, indicating that 3 is not included in the solution set. On the other hand, if the inequality contains the less than or equal to symbol (≤) or greater than or equal to symbol (≥), its graph would be a solid line.

This is because these symbols indicate that the boundary line is included in the solution set. For example, the inequality y ≤ 2 would have a solid line at y = 2, indicating that 2 is included in the solution set.

To learn more about less than or equal to click here

brainly.com/question/16595259

#SPJ11

The correct matching relating the correlation coefficients are given as follows:

A correlation coefficient is an index that measures the association between multiple variables.

The closer the absolute value of the correlation coefficient is of 1, the stronger is the association, meaning that the statement has more certainity.

Closer to zero, the correlation coefficient gives no confidence of the assessment, and values above 0.6 are considered as indicating strong correlation.

More can be learned about correlation coefficients at brainly.com/question/16355498

#SPJ1

Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).

Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.

Step-by-step explanation:

The correct statements regarding the steps Jorge could take to complete the reflection are:

1) Jorge should graph in the vertical line with values of -4 for the line of reflection.

2) Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.

3) Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.

4) Jorge will not move any point that lies on the line of reflection.

5) Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.

6) Jorge could check his work by making sure that the image has the same orientation as the original.

To complete the reflection of a figure across the line y = -4, Jorge can take the following steps:

1) Jorge should graph the vertical line y = -4 as the line of reflection. This line represents the axis of reflection, and all points on this line will remain fixed in their positions after the reflection.

2) Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection. This will help him determine the distance and direction each point should move to reflect across the line.

3) Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side. Since the line of reflection is y = -4, which is parallel to the y-axis, he can use the distance from the vertex to the y-axis as a guide to placing the reflected point on the other side of the line.

4) Jorge will not move any point that lies on the line of reflection. Points on the line of reflection will remain fixed in their positions as they are symmetric to themselves across the line.

5) Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection. In a reflection, the midpoint of each line segment connecting a point and its reflection will lie on the line of reflection. Checking this property helps ensure the accuracy of the reflection.

6) Jorge could check his work by making sure that the image has the same orientation as the original. The orientation refers to the arrangement or direction of the figure's components (e.g., angles, lengths, shapes). If the image retains the same orientation as the original, it indicates a correct reflection.

for such more question on reflection

https://brainly.com/question/25618616

#SPJ8

Question

Jorge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.

1) Jorge should graph in the vertical line with values of –4 for the line of reflection.

2) Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.

3) Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.

4) Jorge will not move any point that lies on the line of reflection.

5) Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.

6) Jorge could check his work by making sure that the image has the same orientation as the original.

Answer:

2 / z - 9

Step-by-step explanation:

Don't worry division always goes before subtraction so you don't need any parenthesis.

Tell me if I'm wrong :)

Answer:

4

Step-by-step explanation:

Given,

\(6+log\frac{3}{2} (\frac{1}{3\sqrt{2} } \sqrt{4-\frac{1}{3\sqrt{2} }\sqrt{4-\frac{1}{3\sqrt{2} } ...} }\)

Let,

\(x= \sqrt{4-\frac{1}{3\sqrt{2} }\sqrt{4-\frac{1}{3\sqrt{2} }\\\)

By this we get

\(x=\sqrt{4-\frac{1}{3\sqrt{2} }(x) } }\)

On squaring both sides,

\(x^{2} =4-\frac{1}{3\sqrt{2} }(x) } }\\\\x^{2} -4+\frac{x}{3\sqrt{2} } =0\\\\3\sqrt{2} x^{2} -12\sqrt{2} +x=0\\\\x=\frac{-1+\sqrt{1-(-12\sqrt{2})*(3\sqrt{2})*4 } }{2*3\sqrt{2} } \\\\x=\frac{-1+\sqrt{289} }{6\sqrt{2} } \\\\x=\frac{-1+17}{6\sqrt{2} } \\\\x=\frac{8}{3\sqrt{2} }\)

Now,

\(6+log\frac{3}{2} [\frac{1}{3\sqrt{2} } *\frac{8}{3\sqrt{2} } ]+log\frac{3}{2} *[\frac{8}{9*2} ]\\\\6+log\frac{3}{2}(\frac{4}{9} )\\\\6-log\frac{3}{2}(\frac{9}{4} )\\\\6-log\frac{3}{2} (\frac{3}{2})^2 \\\\6-2=4\)

\(\sqrt{4 - \dfrac1{3\sqrt2} \sqrt{4 - \dfrac1{3\sqrt2} \sqrt{4 - \dfrac1{3\sqrt2} \sqrt{\cdots}}}}\)

Starting from the identity

\((x - y)^2 = x^2 - 2xy + y^2\)

take the positive square root on both sides.

\(x - y = \sqrt{x^2 - 2xy + y^2}\)

Note that we must have \(x\ge y\). Rewrite the radicand and substitute \(x-y\).

\(x - y = \sqrt{x^2 - xy - y (x - y)} \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y (x - y)}} \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y (x - y)}}} \\\\ ~~~~ \vdots \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{\cdots}}}}\)

Let \(y=\frac1{3\sqrt2}\). Solve for \(x\).

\(x^2 - \dfrac x{3\sqrt2} = 4 \\\\ x^2 - \dfrac x{3\sqrt2} + \dfrac1{72} = \dfrac{289}{72} \\\\ \left(x - \dfrac1{6\sqrt2}\right)^2 = \dfrac{289}{72} \\\\ x - \dfrac1{6\sqrt2} = \pm \dfrac{17}{6\sqrt2} \\\\ x = \dfrac{18}{6\sqrt2} \text{ or } x = -\dfrac{16}{6\sqrt2} \\\\ x = \dfrac3{\sqrt2} \text{ or } x = -\dfrac8{3\sqrt2}\)

Take the positive solution to ensure \(x>y\). Then the infinitely nested root expression in the logarithm converges to

\(x - y = \dfrac3{\sqrt2} - \dfrac1{3\sqrt2} = \dfrac{4\sqrt2}3\)

and the overall expression has a value of

\(6 + \log_{\frac32} \left(\dfrac1{3\sqrt2} \times \dfrac{4\sqrt2}3\right) = 6 + \log_{\frac32} \left(\dfrac49\right) \\\\ ~~~~ = 6 + \log_{\frac32} \left(\dfrac23\right)^2 \\\\ ~~~~ = 6 - 2 \log_{\frac32} \left(\dfrac32\right) \\\\ ~~~~ = 6 - 2 = \boxed{4}\)

A car is travelling at 60 km/hr on a road such that the coefficient of friction between its tire and road is 0.8. We need to find the minimum turning radius of the car.

In order to find out the minimum turning radius of the car, we can use the formula mentioned below: \[\text{Turning radius }= \frac{{V^2}}{{g\mu }}\]

Where, V = Velocity of car, μ = coefficient of friction, g = acceleration due to gravity

Putting the given values in the above formula, we get:\[\text{Turning radius }= \frac{{{{\left( {\frac{{60 \times 1000}}{{60 \times 60}}} \right)}^2}}}{{9.8 \times 0.8}} = 625 m\]

Therefore, the minimum turning radius of the car is 625 meters, approximately.

To know more about radius, click here

https://brainly.com/question/13449316

#SPJ11

Answer:

52.5 miles

Step-by-step explanation:

5 miles = 8 km

→ Find how many miles in 1 km

8 km = 5 miles

1 km = 0.625 miles

→ Multiply both sides by 84

84 km = 52.5 miles

i hope this work for you

and sory if im wrang

The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

Learn more about index here :-

https://brainly.com/question/32793068

#SPJ11

Answer: 1125

Step-by-step explanation:

Answer:

guy above me is wrigth. If you have any doubts see the picture.

Step-by-step explanation:

Hope it helps and mark as brailiest pleasee

x2 ≈ 17.969712 is the approximate solution of ln(x) = 9 - x using Newton's method with x0 = 10.

To obtain an approximate solution of ln(x) = 9 - x using Newton's method, we start with an initial guess x0 = 10 and iterate until convergence.

The formula for Newton's method is:

x_(n+1) = x_n - f(x_n) / f'(x_n)

First, let's obtain the derivative of f(x) = ln(x) - 9 + x.

The derivative of ln(x) is 1/x, so:

f'(x) = 1/x - 1

Now, we can plug the values into the Newton's method formula to obtain x2:

x1 = x0 - (f(x0) / f'(x0))

   = 10 - ((ln(10) - 9 + 10) / (1/10 - 1))

   = 10 - ((ln(10) + 1) / (-9/10))

   ≈ 10 - (2.30259 + 1) / (-0.9)

   ≈ 10 - 3.30259 / (-0.9)

   ≈ 10 + 3.669544 / 0.9

   ≈ 10 + 4.077271

   ≈ 14.077271

Now, using x1 as the new approximation, we repeat the process:

x2 = x1 - (f(x1) / f'(x1))

   = 14.077271 - ((ln(14.077271) - 9 + 14.077271) / (1/14.077271 - 1))

   ≈ 14.077271 - ((2.64748 + 1) / (-0.93644))

   ≈ 14.077271 - (3.64748 / -0.93644)

   ≈ 14.077271 + 3.892441

   ≈ 17.969712

To know more about Newton's method refer here:

https://brainly.com/question/31910767#

#SPJ11

The surface area obtained by rotating about the y -axis is 168.159.

In mathematics, integration is a technique for combining or adding the parts to arrive at the total. It is a form of differentiation in reverse where we break down functions into their component elements. This technique is employed to determine the summation on a sizable scale.

We have the function y=1+5x² from x=0 to x=2 about the y -axis.

So, the Surface are is

S = 2π ∫ R(x) √ (1+ f'(x)²}

Then, f'(x) = 10x

Then, S = 2π ∫ R(x) √ (1+ f'(x)²}

= 2π ∫ (1+5x²) √ (1+100x²)

= 1/150 (401 (√401-1)) π

= 168.159

Learn more about Integration here:

https://brainly.com/question/18125359

#SPJ9

Answer:

( √15 + 8)/7

Step-by-step explanation:

TanA = -√15

.we are to find tan(A-π/4).

In trigonometry

Tan(A-B) = TanA - TanB/1+ tanAtanB

Hence:

tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4

Substitute tan A value into the formula

tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4

tan(A-π/4) = -√15-1/1-√15

Rationalize

-√15-1/1-√15 × 1+√15/1+√15

= -√15-√225-1-√15/(1-√225)

= -2√15-15-1/1-15

= -2√15 -16/(-14)

= -2(√15+8)/-14

= √15 + 8/7

Hence the required value is ( √15 + 8)/7

Answer:

Probably D ( -√15-1/1-√15)

Step-by-step explanation:

it was in adidemiokin's answer before they rationalized it. Couldn't find the darn answer anywhere else.  I'm on my 3rd attempt on the EDGE precalc Unit test hopefully D is right.

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

Part A: rotate 90° counter clockwise  

left 2 up 2

Part B: Dilation. 8 units down and 8 units left

Part C: Dilating shape I by a scale factor of 2, then reflecting it across the x-axis, and translating it 1 unit left will map shape I onto shape IV.

Step-by-step explanation:

The percentage change in frequency is 0%.Hence, the natural frequency of torsional vibration of the custen is given by f = 25.7 / L₀^(1/2) and the percentage change in frequency is 0%.

We are given that:

Total moment of inertia of moving parts = I = 1 kgm²

Moment of inertia of air-screw = I = 18 kgm²

Outer diameter of hollow shaft = D₀ = 80 mm

Inner diameter of hollow shaft = Dᵢ = 35 mm

Length of hollow shaft = L = 0.30 m

Stiffness of the crank-throw = K = 2.5 × 10⁴ Nm/rad

Shear modulus of elasticity = G = 83000 N/mm²

We need to calculate the natural frequency of torsional vibration of the custen.

The formula for natural frequency of torsional vibration is: f = (1/2π) [(K/L) (J/GD)]^(1/2)

Where, J = Polar moment of inertia

J = (π/32) (D₀⁴ - Dᵢ⁴)

The formula for equivalent length of hollow shaft is given by:

q₁ = q₁₁ + q₁₂

Where, q₁₁ = (π/32) (D₀⁴ - Dᵢ⁴) / L₁q₁₂ = (π/64) (D₀⁴ - Dᵢ⁴) / L₂

L₁ = length of outer diameter

L₂ = length of inner diameter

For the given shaft, L₁ + L₂ = L

Let L₁ = L₀D₀ = D = 80 mm

Dᵢ = d = 35 mm

So, L₂ = L - L₁= 0.3 - L₀...(1)

For the given crank-throw, q₁ = (π/32) (D⁴ - d⁴) / L, where D = 80 mm and d = 80 mm

Hence, q₁ = (π/32) (80⁴ - 35⁴) / L

Therefore, q₁ = (π/32) (80⁴ - 35⁴) / L₀...(2)

From the formula for natural frequency of torsional vibration, f = (1/2π) [(K/L) (J/GD)]^(1/2)

Substituting the values of K, J, G, D and L from above, f = (1/2π) [(2.5 × 10⁴ Nm/rad) / (L₀) ((π/32) (80⁴ - 35⁴) / (83000 N/mm² (80 mm)³))]^(1/2)f = (1/2π) [(2.5 × 10⁴ Nm/rad) / (L₀) (18.12)]^(1/2)f = 25.7 / L₀^(1/2)...(3)

Now, if we assume that the air-screw mass is infinite, then the moment of inertia of the air-screw is infinite.

Therefore, the formula for natural frequency of torsional vibration in this case is:

f = (1/2π) [(K/L) (J/GD)]^(1/2)Substituting I = ∞ in the above formula, we get:

f = (1/2π) [(K/L) (J/GD + J/∞)]^(1/2)f = (1/2π) [(K/L) (J/GD)]^(1/2)f = 25.7 / L₀^(1/2)

So, in this case also the frequency is the same.

Therefore, the percentage change in frequency is 0%.Hence, the natural frequency of torsional vibration of the custen is given by f = 25.7 / L₀^(1/2) and the percentage change in frequency is 0%.

Learn more about elasticity

brainly.com/question/30999432

#SPJ11