Can you help me with this question quickly?

Answer:

x=3 and x=-1.25

Step-by-step explanation:

4x^2-7x=15

subtract 15 from each side:

4x^2-7x-15=0

factor  (trying different numbers that the sum is 7 and the quotient is 15)

(2x-6 )(2x+2.5 )=0

2x-6=0 add 6 to each side

2x=6

x=3

2x+2.5=0   subtract 2.5 from each side

2x=-2.5

x=-1.25

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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Convenience sampling is what type of sampling.

What is convenience sampling of samples?

A non-probability selection technique called convenience sampling selects units for the sample based on which ones are most convenient for the researcher to access.

                  This can be because of close proximity, availability at a specific time, or interest in taking part in the study.

Why do we utilize convenience sampling?

Brands and organizations use convenience sampling to gauge consumer perception of their brand's image.

                        Data from prospective clients is gathered to manage opinions of recently launched products or to comprehend certain problems. It may be the only choice you have in some situations.

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Answer:

24.2 units²

Step-by-step explanation:

Given

A = \(\frac{1}{2}\) a( b + c)

Substitute the given values for a, b and c , that is

A = \(\frac{1}{2}\) × 4.4 × (8 + 3)

   = 2.2 × 11

   = 24.2

A triangle is a three-sided polygon that consists of three sides and three angles. An extension of a side of a triangle is a line segment that is drawn from one of the endpoints of the side that extends beyond the side.

If we extend one side of the triangle and draw a line that passes through one of the adjacent vertices, the resulting shape is called a triangle's exterior angle. This exterior angle is formed by one side of the triangle and the extension of an adjacent side.

In other words, an exterior angle of a triangle is an angle that is formed by one side of a triangle and the extension of an adjacent side of the triangle.

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Answer:

Q-(1,1)       L-(1,-2)       G-(4,-4)

Step-by-step explanation:

becuase

Given integral is  `∫_C( x^2+5y)i+(3y^3)j⋅dr` where `C` is the three line segments from `(3,0,0)` to `(3,2,0)` to `(0,2,0)` to `(0,2,2)`. First, we evaluate the line integral over the line segment from `(3,0,0)` to `(3,2,0)`.Since we are only integrating over the x-axis:

`y=0` and `z=0`, therefore `dr=dx`.We get`∫_C1 (x^2+5y)dx=∫_3^3( x^2+5*0)dx=0`Now, we evaluate the line integral over the line segment from `(3,2,0)` to `(0,2,0)`.

Since we are only integrating over the y-axis: `x=3` and `z=0`, therefore `dr=dy`.We get`∫_C2 (x^2+5y)dy=∫_2^2( 3^2+5y)dy=0`Finally, we evaluate the line integral over the line segment from `(0,2,0)` to `(0,2,2)`.

Since we are only integrating over the z-axis: `x=0` and `y=2`, therefore `dr=dz`.We get`∫_C3 (x^2+5y)dz=∫_0^2( 0^2+5*2)dz=10`Therefore, the line integral is `∫_C ( x^2+5y)dr=0+0+10=10`.

Thus, `∫_C( x^2+5y)i+(3y^3)j⋅dr=10`.

The given line integral `∫_C( x^2+5y)i+(3y^3)j⋅dr` over the line segments from `(3,0,0)` to `(3,2,0)` to `(0,2,0)` to `(0,2,2)` is `10`.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

answer is b)

\( {(r + s)}^{2} = {r}^{2} + 2rs + {s}^{2} \)

Answer:

whats the question??

Step-by-step explanation:

Step-by-step explanation:

The volume of a cylinder is given by the formula

pi×h×r^2

IF R IS 8

Volume = 3015.93

IF R IS 15

Volume = 5654.87

The line passing through the coordinates (6, 3) and parallel to the y=-23-23x+12 graph. The equation of the slope intercept form of the line is 23x+y-141=0.

Given that,

We have to find what is the slope-intercept equation for the line passing through the coordinates (6, 3) and parallel to the y = -2 3 - 2 3 x + 12 graph.

The coordinates are (6,3).

y=-23-23x+12

y=-23x-11

The above equation is in the form of equation of the line that is y=mx+b

m value is -23.

Now,

The formula for the equation of line's slope intercept is

y-y₁=m(x-x₁)

y-3=-23(x-6)

y-3=-23x+138

23x+y-3-138=0

23x+y-141=0

Therefore, the equation of the slope intercept form of the line is

23x+y-141=0.

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The volume of the wooden roller is approximately equal to 50.27 cm³ (when rounded to two decimal places).

To find the volume of the wooden roller, we can use the formula for the volume of a cylinder:

Volume = π x (radius)^2 x height

First, we need to find the radius of the wooden roller. The diameter is given as 8cm, so the radius is half of that, or 4cm.

Now, we have the following dimensions:

Radius = 4cm

Height = 1cm

Plugging these values into the formula for the volume of a cylinder, we get:

Volume = π x (4cm)^2 x 1cm

= 16π cm^3

Therefore, the volume of the wooden roller is approximately equal to 50.27 cm³ (when rounded to two decimal places).

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Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.

Given the diameter of the balloon = 55 ft

Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft

Rate of change of radius = 1.5 ft/min.

The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)

                                                              = 87069.583 \(ft^3\)

Two- thirds of the volume = (2/3) x 87069.583 = 58046.389  \(ft^3\)

Let R be the radius of the balloon with two-thirds of its maximum volume.

Then, \(\frac{4}{3}\pi R^3\) =  58046.389

⇒          \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583

⇒            \(R=13864.583^\frac{1}{3}\)

⇒           R = 24.023 ft

Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.

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Answer:

A) 16 minutes

Step-by-step explanation:

Hope this helps! Pls give brainliest!

The cost of Juan's South American stamps issued before the '70s is $10.

To determine the cost of Juan's South American stamps issued before the '70s, we need to consider the prices for stamps from Brazil and Peru, which are both South American countries. According to the information provided, stamps from Brazil and Peru cost 6 cents each.

Since the specific quantity of stamps is not given, we assume that Juan has an equal number of stamps from Brazil and Peru. Therefore, the cost of his South American stamps from these countries can be calculated as follows:

Cost of stamps from Brazil = 6 cents each

Cost of stamps from Peru = 6 cents each

Total cost of South American stamps = (Cost of stamps from Brazil + Cost of stamps from Peru) × Quantity

As the quantity is unknown, we cannot calculate the exact cost. However, the given answer options provide the closest approximation.

Looking at the answer options, the only option that falls within the range of the given prices is $10. Therefore, the cost of Juan's South American stamps issued before the '70s is $10.

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Answer:

Yes, but doing so will clear out his account.

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

Aaron's bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:

Transaction

Cost ($)

Car payment

260.16

Groceries

97.98

Parking ticket

75.00

DVD box set

115.35

Antique lamp

68.53

Suit

331.84

Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already

Aaron's bank account balance=$1213.69

He made all this transactions below;

Car payment

260.16

Groceries

97.98

Parking ticket

75.00

DVD box set

115.35

Antique lamp

68.53

Suit

331.84

The summation of all his transactions is;260.16+97.98+75.00+115.35+68.53+

331.84= $948.86

Which means after performing those transactions above, he was left with $948.86.

We were informed that Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83.

For him to paint his car now he will spend $264.83, if we add with the previous transactions it sum up to $1213.69 which was actual amount he has at hand. I.e ($264.83+$948.86)=

$1213.69

Therefore, the answer is Yes, but doing so will clear out his account.

⇒ The population increases the fastest when it is at half of the carrying capacity, which is 1750.

⇒ The solution to the differential equation is,

y = 200exp(0.11t + ln(3/197)) / (1 + 19exp(0.11t + ln(3/197)))

⇒ It will take about 3.04 years for the fish population to increase to 2250.

To determine when the population increases the fastest,

we have to find the maximum value of the derivative P'(t).

We can start by setting the derivative equal to zero and solving for p,

⇒ P'(t) = 0.9(1 - p/3500) = 0

⇒ 1 - p/3500 = 0

⇒ p/3500 = 1

⇒ p = 3500

So, the population will increase the fastest when p = 3500.

To confirm that this is a maximum,

Take the second derivative of P(t),

⇒ P''(t) = -0.9/3500

Since P''(t) is negative, P(t) has a maximum at p = 3500.

Therefore, the population increases the fastest when it is at half of the carrying capacity, which is 1750.

To solve the given differential equation ,

First, separate the variables by dividing both sides by (y(1 - y/200)),

⇒ (1 / (y(1 - y/200))) dy = 0.11 dt

Integrate both sides. Let's first integrate the left side,

⇒ ∫ (1 / (y(1 - y/200))) dy = ∫ (1 / y) + (1 / (200 - y)) dy

                                       = ln(y) - ln(200 - y) + C1

where C1 is the constant of integration.

Now we can integrate the right side,

⇒ 0.11t + C2

Where C2 is another constant of integration.

Putting it all together, we have,

⇒ ln(y) - ln(200 - y) = 0.11t + C

where C = C2 - C1.

To solve for y, we can exponentiate both sides,

⇒y / (200 - y) = exp(0.11t + C)

Multiplying both sides by (200 - y), we get,

⇒ y = 200exp(0.11t + C) / (1 + 19exp(0.11t + C))

Using the initial condition y(0) = 2,

Solve for C and get:

⇒ C = ln(3/197)

Therefore, the solution to the differential equation is:

⇒ y = 200exp(0.11t + ln(3/197)) / (1 + 19exp(0.11t + ln(3/197)))

a) To find the equation for the fish population,

we can use the logistic growth model,

⇒ P(t) = K / (1 + Aexp(-r*t))

where P(t) is the population at time t,

K is the carrying capacity,

A is the initial population,

r is the growth rate, and

e is the base of natural logarithms.

We know that

A = 500,

K = 4500, and

P(1) = 710.

Use these values to solve for r,

⇒ r = ln((P(1)/A - 1)/(K/A - P(1)/A))

⇒r = ln((710/500 - 1)/(4500/500 - 710/500))

⇒r = 0.4542

Now we can plug in all the values to get the equation,

⇒P(t) = 4500 / (1 + 4exp(-0.4542t))

b) We want to find t when P(t) = 2250.

Use the equation we found in part a) and solve for t,

⇒ 2250 = 4500 / (1 + 4exp(-0.4542t))

⇒ 1 + 4exp(-0.4542t) = 2

⇒        exp(-0.4542t) = 0.25

⇒                -0.4542t = ln(0.25)

⇒                              t = ln(0.25) / (-0.4542)

⇒                              t ≈ 3.04 years.

So it will take about 3.04 years for the fish population to increase to 2250.

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The equation (1/2) / |3c+5| = 6c + 4 has no real solutions because the absolute value function |3c+5| does not equal zero for any real value of c, and dividing a non-zero number by zero is undefined.

In the given equation, we have a fraction on the left side involving the absolute value function |3c+5| and a linear expression 6c + 4 on the right side. To solve the equation, we need to isolate the variable c.

First, we observe that the denominator |3c+5| cannot equal zero since the absolute value of any real number is always non-negative. Therefore, the equation cannot be satisfied for any value of c that would make the denominator zero.

Since dividing a non-zero number by zero is undefined, we conclude that the equation (1/2) / |3c+5| = 6c + 4 has no real solutions.

Note: It's important to consider the domain of the equation and identify any restrictions or undefined operations that may arise in the process of solving the equation.

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If each driver’s distance (miles) is shown for the same elapsed time (hours) of the trip. The person that had a head start is: Rita had a 28-mile head start.

Slope for speed = (y² - y1) / (x² - x1)

Slope for speed = (130 - 65) / (2 - 1)

Slope for speed= 65 / 1

Slope for speed= 65 mph

Determining Roger's starting position if Roger distance is 65.

Hence,

Mile of head start = Slope of speed - Roger distance

Mile of head start = 65 mph - 65 miles

Mile of head start = 0 miles

Rita  starting position if Rita distance is 93

Slope for speed = (y² - y1) / (x² - x1)

Slope for speed = (158 - 93) / (2 - 1)

Slope for speed = 65 / 1

Slope for speed = 65 mph  

Mile of head start = Slope of speed - Rita distance

Mile of head start =  93 - 65

Mile of head start= 28 miles

Therefore we can conclude that Rita has a head start of 28 miles.

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Answer:

Rita had a 28-mile head start.

Step-by-step explanation:

EDGE

By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

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Answer:

3 people

Step-by-step explanation:

Add 25.25 and 8.75 together which is $34 so then you $34 by 3 and get 102 so then you add tax. So only three people would be able to go.

Answer: 0.1 OR 1/10

Step-by-step explanation:

Think about it: There's 1/2 bag of oranges, and you wanna know what number of oranges used in the juice. Take 1/2, and divided it by 5. You get 0.1, then you should turn it into a fraction, giving you 1/10.

Answer: 0.1 OR 1/10

Step-by-step explanation:

Answer: judy has 45% i think

Step-by-step explanation:

As per the two factor study, the value of s is 60.

Two factor study

In math, two factor study defined as an experimental design in which data is collected for all possible combinations of the levels of the two factors of interest.

Given,

Here we have that for a two-factor study with 2 levels of factor a, 2 levels of factor b, and a separate sample of 10 participants in each treatment condition, the two means for level a1 are 4 and 1, and the two means for level a2 are 3 and 2.

And we need to find the value of s between treatments.

As per the given question, we have identified that the values,

Number of participants = 10

And we also know that,  level a1 are 4 and 1, and the two means for level a2 are 3 and 2.

So, based on the two factor method, the value of s calculated as,

Here we have to multiple factors first,

=> 3 x 2 = 6

And then multiply that by n = 10,

=> 6 x 10 = 60

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Answer:

8

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.

Translation is the movement of a point up, down, right or left on the coordinate plane. Rigid transformations are transformations that preserve the length and angle of  the object, types are reflection, rotation and translation.

Triangle ABC is translated, since translation is a rigid transformation, the length would still be preserved, hence:

AB = A'B' = 8

Answer:

340

Step-by-step explanation:

this is an arithmetic sequence.

Nth term = a + (n-1)d,

where a is first term, d is constant difference.

a = -17, d = 7.

52nd term = -17 + (52 -1) 7

= -17 + 51 X 7

= -17 + 357

= 340

Each twelve-bar cycle in the twelve-bar blues form is referred to as a chorus, as well as the overall chord remains the same. The three sections of a big band are rhythm, reed, and brass.

What Characterizes a Chord as Minor or Major? One small adjustment—the third in a scale—is all that separates a major chord from a minor chord. Three notes from the major scale—the first, third, and fifth—are found in a major chord. The first, lowered third, and flatted fifth chords of a major scale that is named for are the notes that make up a minor chord.

A significant (A). A minor; C#; E. (Am). Major in A-C-E-C (C). C minor, E, G. (Cm). the key of C, and G. (D). D minor in D-F#-A key. significant in D-F-A-E. (E). E minor in E-G#-B key. E - G - B.

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The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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