Someone please help

Let's take any 2 points from the line.

1. (-4,-2)

2. (-2,-7)

\(slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5\)

Answer & step-by-step explanation:

Convex: Triangle, Square, Pentagon. (Has to be equal sided and angled)

Non-Convex: Draw a weird shape, such as a deformed star, a 5 sided shape with no equal sides, such as these listed below:

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Using the exterior angle theorem which involves the use of two interior angles in the polygon, the value of angle ACD in the triangle is 150 degrees

An exterior angle of a polygon is an angle that is formed outside of the polygon by extending one of its sides. It is the supplementary angle of an interior angle.

Exterior angle theorem states that the sum of two interior angles is equal to one exterior angle.

Using that theorem in this problem;

∠ACD = 33 + 117

∠ACD = 150°

The value of angle ACD in the triangle is equal to 150 degrees

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Answer:

x=54.5

Step-by-step explanation:

x+62+x+9=180

2x+71=180

2x+71-71=180-71(subtract 71 from both sides)

2x=109

2x/2=109/2(divide both sides by 2)

x=54.5

Answer:

x=54.5

Step-by-step explanation:

1. Combine like terms

x+62+x+9=180

2x+71=180

You can only combine the x and 62 and 9 in this equation.

2. Subtraction property of equality

2x+71=180

    -71 = -71

2x=109

Subtract 71 from both sides to isolate the variable, x.

3. Division property of equality

2x=109

/2     /2

x=54.5

Hope this helps!

Answer:

6x + 2 m

Step-by-step explanation:

Given:

A (area) = (24x^2 + 8x) m^2

l (side length) = 4x m

Find: b (base) - ?

In order to find the base of the rectangle, you have to divide its area by the side length:

\(b = \frac{24 {x}^{2} + 8x}{4x} = \frac{4x(6x + 2)}{4x} = 6x + 2\)

Answer:

base = 6x + 2 m

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = base × width

given A = 24x² + 8x and width = 4x , then

24x² + 8x = base × 4x (divide both sides by 4x )

\(\frac{24x^2+8x}{4x}\) = base

\(\frac{24x^2}{4x}\) + \(\frac{8x}{4x}\) = base , then

base = 6x + 2 m

Answer:

6 seconds left, 10 seconds total.

Step-by-step explanation:

40 / 4 = 10

Increases by 10% each second

60% left, so 60 / 10 = 6

Answer:

6 seconds left, 10 seconds total.

Step-by-step explanation:

40 / 4 = 10

Increases by 10% each second

60% left, so 60 / 10 = 6

Step-by-step explanation:

The research proposal focuses on investigating the determinants of the sustainability of small and medium-sized enterprises (SMEs) in Soweto. The research objectives are to determine the sustainability of SMEs, identify the factors that contribute to their sustainability, and provide practical recommendations to enhance their sustainability.

1.1 The research proposal addresses the "what" by examining the determinants of SME sustainability in Soweto. It focuses on "who" by targeting owner-managers of SMEs in Soweto. The "why" is to understand the factors that influence SME sustainability. The "where" is in Soweto, South Africa, and the "when" refers to the time period during which the research will be conducted.

1.2 The aim of the proposed study is to explore and analyze the determinants of sustainability for small and medium-sized enterprises in Soweto, with the ultimate goal of providing practical recommendations to enhance their sustainability.

1.3 Three research questions for the proposed study could be:

What are the key indicators of sustainability for SMEs in Soweto?

What factors contribute to the sustainability of SMEs in Soweto?

How can owner-managers of SMEs in Soweto improve the sustainability of their businesses?

1.4 An appropriate research design for the proposed study could be a mixed-methods approach. This design would involve both quantitative and qualitative data collection and analysis methods. Quantitative data could be collected through surveys or questionnaires to measure indicators of sustainability and assess the relationship between various factors. Qualitative data could be collected through interviews or focus groups to gain a deeper understanding of the experiences and perspectives of owner-managers. The mixed-methods approach would provide a comprehensive and holistic understanding of the determinants of SME sustainability in Soweto and enable practical recommendations to be formulated based on both quantitative and qualitative insights.

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The negative sign indicates that the power is flowing in the negative x-direction.

To solve this problem, we can use the relationships between the electric field (E), magnetic field (H), and power density (P) in electromagnetic waves.

Given:

Incident H field phasor: H = ay8e30x (A/m)

Relative electrical permittivity of the dielectric medium: εr = 4

Boundary surface area radius: r = 60 cm = 0.6 m

We'll go through each part of the problem step by step:

a) Electric field phasor:

The relationship between the electric field and magnetic field in a plane wave is E = (1/η) x H, where η is the intrinsic impedance of the medium.

The intrinsic impedance of a dielectric medium is given by η = η0/√εr, where η0 is the impedance of free space (approximately 377 Ω).

Substituting the values, we have:

η = η0/√εr = 377/√4 = 188.5 Ω

Thus, the electric field phasor is:

E = (1/η) x H = (1/188.5) x (ay8e30x) = (ay4.22e-2x) V/m

b) Average incident power density vector:

The average power density (P) of an electromagnetic wave is given by P = (1/2)Re(E x H*), where H* denotes the complex conjugate of H.

Taking the real part, we have:

P = (1/2)Re(E x H*) = (1/2)Re[(ay4.22e-2x) x (ay8e30x)*]

= (1/2)Re[(-32.16ae28x)] = -16.08e28x W/m²

The negative sign indicates that the power is flowing in the negative x-direction.

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The total amount Joanne paid by the end of 4 years is $40,572.43.

To calculate the total amount Joanne paid, we can use the formula for the future value of an ordinary annuity. The formula is given by:

FV = P * ((1 + r)^n - 1) / r

Where:

FV = future value

P = payment amount per period

r = interest rate per period

n = number of periods

In this case, Joanne made monthly payments of $800 for 4 years, which corresponds to 4 * 12 = 48 periods. The interest rate is 3.4% per year, compounded monthly. We need to convert the annual interest rate to a monthly interest rate, so we divide it by 12. Thus, the monthly interest rate is 3.4% / 12 = 0.2833%.

Substituting these values into the formula, we have:

FV = 800 * ((1 + 0.2833%)^48 - 1) / 0.2833%

Evaluating the expression, we find that the future value is approximately $40,572.43. Therefore, Joanne paid approximately $40,572.43 by the end of the 4 years.

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The amount you will have saved after 4 years with a monthly savings is B. $15,587.88.

To calculate the amount you will have saved after 4 years with a monthly savings of $300 and an annual interest rate of 4% APR, we can use the formula for compound interest.

First, we need to convert the APR to a monthly interest rate by dividing it by 12. So the monthly interest rate is (4% / 12) = 0.3333%.

Next, we calculate the future value of the savings using the formula:

Future Value = P(1 + r)^n - 1 / r

where P is the monthly savings amount, r is the monthly interest rate, and n is the number of months.

Plugging in the values:

Future Value = 300(1 + 0.003333)^48 - 1 / 0.003333

Calculating this expression, we get approximately $15,587.88.

Therefore, The correct answer is B. $15,587.88.

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\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \pounds 629.20\\ P=\textit{original amount deposited}\dotfill & \pounds 1210\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years \end{cases} \\\\\\ 629.20 = (1210)(0.04)(t) \implies \cfrac{629.20}{(1210)(0.04)}=t\implies 13=t\)

We are to find the percentage of births which occurred among women between the ages of 38 and 40 using the graph.

The percentage of births which occurred among women between the ages of 38 and 40 using the graph is 98.0

From the graph above, each bar represent 2 years.

There are 5 bars each between 20 and 30, 30 and 40 respectively.

The percentage of births occurred among women between the ages of 38 and 40 is 98

To one decimal place

= 98.0

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Answer:

hope this helps...

answer in the diagram

Answer:

y-6=1

x-8

Step-by-step explanation:

1(x-8)=y-6

x-8=y-6

like terms together

y=-8+6-x

y=-x-2

In a time-series graph, the horizontal axis is marked off in units of time, such as days, months, quarters, or years. The time intervals between the marks on the horizontal axis are usually equal, which allows the graph to show changes in the variable being measured over time.

The vertical axis of the graph shows the values of the variable being measured, and the line or curve connecting the points on the graph represents the trend of the data over time. Time-series graphs are often used to visualize patterns and trends in economic, financial, and other types of data that vary over time.

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9514 1404 393

Answer:

  £27.50

Step-by-step explanation:

The general approach is ...

1. The area to be painted will be the area of the four walls, less the area of the door (which is assumed to be a hole in the wall, so is not painted).

Each wall has the same dimensions, so the same area. The area of the rectangular wall is ...

  A = LW

  A = (3.5 m)(2.6 m) = 9.1 m²

The area of the door is ...

  A = (2.2 m)(0.8 m) = 1.76 m²

Then the area to be painted is the area of the 4 walls less the area of the door:

  painted area = 4(9.1 m²) -1.76 m² = 34.64 m²

__

2. Each 2 L tin of paint will cover (2 L)×(8 m²/L) = 16 m², so the number of tins needed is ...

  (34.64 m²)/(16 m²/tin) = 2.165 tins

We assume this means Aisha will need to purchase 3 tins, since she will need more paint than is provided by 2 tins.

__

3. Because of the price offer on the paint, Aisha will pay full price for the first two tins, half price for the 3rd tin. That is, she will pay 2 1/2 times the full price of a tin when she buys the 3 tins of paint she needs. Each tin costs £11, so Aisha will pay ...

  (2 1/2)(£11) = £27.50

Aisha will pay £27.50 for the paint to paint her living room.

Answer:

that I have a panda but the black on it and I have kiss me kiss me at

Answer:

This graph is kind of funky, but it should be 70

Step-by-step explanation:

23+47=70

Please mark Brainliest!!!

Answer:

70

Step-by-step explanation:

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer:

Height (h)=8 in

Base(b)=10in

Area (A) of a triangle = 1/2*b*h

A=8in*10in=80in sqr

Step-by-step explanation:

The sticker is in triangular form so one has to Area of triangle formula: 1/2x base x height

Answer:

5x + 15

Step-by-step explanation:

Given

9x + 6 - 4x + 9 ← collect like terms

= (9x - 4x) + (6 + 9)

= 5x + 15

Answer:

Step-by-step explanation:

a) it is a reflection

b) it is vertex B"

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Is the ratio 15:12 equivalent to these? No, it's not equivalent.

Why not? Because if we tripled everything in 5:3 then we'd get 15:9. We don't have the second value as 12.

-------------------------------------

Is the ratio 30:18 equivalent to these? Yes it is equivalent

To go from 5:3 to 30:18, we multiply everything by 6

5*6 = 30

3*6 = 18

This shows that 5:3 scales up to 30:18

-------------------------------------

Give two more examples of ratios that are equivalent to 5:3.

Pick any number you want. Let's say we pick 7. Multiply both parts of 5:3 by the value 7

5*7 = 35

3*7 = 21

The ratio 5:3 is equivalent to 35:21

The ratio 5:3 is also equivalent to 50:30 after multiplying both parts by 10.

Given:

The area of a rectangle is 99 square yd.

Length of the rectangle = 7 yd more than twice the width.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, length of the rectangle is:

\(Length=2x+7\)

Area of a rectangle is:

\(A=length\times width\)

\(A=(2x+7)\times x\)

\(A=2x^2+7x\)

The area of a rectangle is 99 square yd.

\(2x^2+7x=99\)

\(2x^2+7x-99=0\)

Splitting the middle term, we get

\(2x^2+18x-11x-99=0\)

\(2x(x+9)-11(x-9)=0\)

\((x+9)(2x-11)=0\)

Using zero product property, we get

\((x+9)=0\) and \((2x-11)=0\)

\(x=-9\) and \(x=\dfrac{11}{2}\)

\(x=-9\) and \(x=5.5\)

Width of the rectangle cannot be negative. So, \(x=5.5\) yd.

Now, the length of the rectangle is:

\(Length=2x+7\)

\(Length=2(5.5)+7\)

\(Length=11+7\)

\(Length=18\)

Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.

It will take 5 seconds for the waste to hit the ground.

We know that the bird releases the waste from a height of 400ft, so the height equation is:

\(h(t) = -16t^2 + 400\)

The waste will hit the ground when its height is equal to zero, so we just need to solve the quadratic equation:

\(h(t) = 0 = -16t^2 + 400\\\\16t^2 = 400\\\\t^2 = 400/16 = 25\\\\\)

Now we can apply the square root in both sides:

\(t = \sqrt{25} = 5\)

It will take 5 seconds for the waste to hit the ground.

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Answer:

K=32

Step-by-step ex