Find the absolute maximum and absolute minimum values of f on the given interval. f(x)=ln(x2+x+1) [−1,1].

Step-by-step explanation:

answer is 0

because x= 2 and y =3 make a circle

Answer:

this question is a very simple. you should start with the biggest triangle then follow the steps to find each side of other triangles. THE ANSWER İS ROOT FORTY ONE

Step-by-step explanation:

these are all right-angled triangles. even the smallest one with the x side.

so, we need to apply Pythagoras to get the missing sides and finally x.

c² = a² + b²

c is the Hypotenuse, the baseline of the triangle opposite of the 90 degree angle. a and b are the legs of the triangle enclosing the 90 degree angle.

so,

52² = 48² + side1²

2704 = 2304 + side1²

400 = side1²

side1 = 20

20² = 12² + side2²

400 = 144 + side2²

256 = side2²

side2 = 16

13² = 5² + (larger part of side2)²

169 = 25 + (larger part of side2)²

144 = (larger part of side2)²

larger part of side2 = 12

that means the smaller part of side 2 = 16-12 = 4.

x² = 5² + 4² = 25 + 16 = 41

x = sqrt(41)

So, D is the right answer option.

Answer:yes

Step-by-step explanation:

Answer:

correct

Step-by-step explanation:

Answer:

The error is in the second line.

x = -1

Step-by-step explanation:

When solving for "x", you are trying to isolate it, or move everything else to the other side. You may have learned that "what you do to one side, you do to the other" .

2x + 18 = 16

2x = 34               18 was added to the right side, but not to the other.

If you add 18 on both sides, then the equation would be:

2x + 36 = 34       "x" is not being isolated.

Instead, you should subtract 18 from 16.

Correct solutions steps:

2x + 18 = 16

2x + 18 - 18 = 16 - 18     Subtract 18 from both sides to cancel out 18

2x = -2

2x/2 = -2/2                     Divide both sides by 2

x = -1                              Final answer

If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."

A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.

This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.

The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.

Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.

The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.

This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.

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An increase in the exchange rate of the U.S. dollar relative to a trading partner can result from higher interest rates and higher inflation in the U.S. The correct answer is option (e).

This is because higher interest rates attract foreign investors to the U.S., increasing demand for the U.S. dollar and causing its value to rise relative to other currencies.

Higher inflation in the U.S. also makes the dollar less attractive to foreign investors, causing its value to decline.

The other options listed may affect trade and economic activity, but do not directly impact the exchange rate.

Therefore, the correct option is (e) higher interest rates and higher inflation in the U.S.

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Answer:

(1,6) and (4,6)

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

It's where the two lines cross, or where that black dot is.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

Step-by-step explanation:

Answer:

I thinks its b cause you have to multiply them both by 2 and add 3 and g together. hope it helps

The expression can also be 2(3 + g).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.

Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

Each ride cost $2.

Each game cost $2.

Andrew went on 3 rides and played g games.

So, the ride costs = $6

and, games costs = $2g

Andrew pay in total = 6 + 2g

                                 = 2 (3 + g)

Hence, the expression can also be  2(3 + g).

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The volume of the large emerald is 294.22 cubic centimeters.

The density of any given substance or an object is defined as the ratio of its mass to its volume. This can be expressed as:

Density = Mass/ Volume

Considering the parameters given in the question, we have;

mass = 812.04 grams, density = 2.76 grams/ cubic centimeters

Thus,

density = mass/ volume

So that;

volume = mass/ density

            = 812.04/ 2.76

            = 294.22

volume = 294.22 cubic centimeters

The volume of the large emerald is 294.22 cubic centimeters.

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Answer:

the empty set

Step-by-step explanation:

right on edge

Mr Dlamini will earn R960 for a full bus from Butterworth to East  London. The distance between Butterworth and East London is 100 kilometres.

Mr Dlamini transports people between Butterworth and East London using a bus with a capacity of 100 people. The transport charge starts with a minimum charge of R8 and thereafter it is increased by R2 for each kilometre.

On a particular day, the bus was full with passengers from Butterworth. In each and every kilometre, there was a passenger getting off while no new passenger entered the bus.

The distance between Butterworth and East London is 100 kilometres. Therefore, the total transport charge for the journey is 100 x (R8 + R2/km) = R960.

It is important to note that this is just the transport charge. Mr Dlamini may also incur other costs, such as fuel, maintenance, and insurance. Therefore, his actual profit may be less than R960.

Here is a table showing the transport charge for each kilometre:

Kilometers | Transport charge

------- | --------

0 | R8

1 | R10

2 | R12

... | ...

100 | R960

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The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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The minimum cost for fencing a rectangular area of 28,000 ft²:

Scenario 1: Metal Fencing only - $68,578 for 334 ft by 84 ft

Scenario 2: Wooden Fencing only - $71,162 for 237 ft by 118 ft

Scenario 3: Combination of Metal and Wooden Fencing - $64,141 for 300 ft by 93.3 ft, with 2,000 ft of metal and 13,000 ft of wooden fencing.

To find the dimensions and the minimum cost for the fencing rectangular area of 28,000 ft² with metal or wooden fencing, we need to consider three different scenarios.

Scenario 1: Using only Metal Fencing

Let's assume the length of the rectangular area is L and the width is W. The total length of fencing required for this scenario is 2L + 2W. Since we have only metal fencing, the total cost for fencing would be $2 per ft times the total length of fencing required. Therefore, we have the following equation:

Total cost = $2(2L + 2W)

Now, we know that the area of the rectangular area is 28,000 ft². Therefore, we have another equation:

Area = L × W = 28,000

We can use this equation to find one variable in terms of the other, and then substitute it into the total cost equation to get a single variable equation. Let's solve for L:

                         L × W = 28,000

                         L = 28,000 ÷ W

Now, we can substitute this into the total cost equation:

                         Total cost = $2(2L + 2W)

                         Total cost = $2(2(28,000/W) + 2W)

                         Total cost = $4(14,000/W + W)

To find the minimum cost, we need to take the derivative of the total cost equation with respect to W and set it equal to zero:

                       d(Total cost)/dW = - $4(14,000/W²) + $4

                      $4(14,000/W²) + $4 = 0

                              W² = 14,000/2

                               W = √7,000 ≈ 83.7 ft (rounded to the nearest foot)

Now, we can use the area equation to find L:

                 L = 28,000/W ≈ 334.1 ft (rounded to the nearest foot)

Finally, we can substitute these values into the total cost equation to find the minimum total cost:

                   Total cost ≈ $68,578

Therefore, for Scenario 1, the dimensions of the rectangular area are approximately 334 ft by 84 ft, and the minimum total cost for fencing the area with metal fencing is approximately $68,578.

Scenario 2: Using only Wooden Fencing

We can follow the same approach as in Scenario 1, but this time we use the cost of wooden fencing, which is $5 per ft. The total cost equation becomes:

                    Total cost = $5(2L + 2W)

Setting the derivative of this equation with respect to W equal to zero, we get:

                   d(Total cost)/dW = - $10(14,000/W²) + $10 = 0

                    W² = 14,000

                    W = √14,000 ≈ 118.3 ft (rounded to the nearest foot)

Substituting this value into the area equation, we get:

                    L ≈ 236.7 ft (rounded to the nearest foot)

Finally, we can substitute these values into the total cost equation to find the minimum total cost:

Total cost ≈ $71,162

Therefore, for Scenario 2, the dimensions of the rectangular area are approximately 237 ft by 118 ft, and the minimum total cost for fencing the area with wooden fencing is approximately $71,162.

Scenario 3: Using both Metal and Wooden Fencing

In this scenario, we can use a combination of metal and wooden fencing to minimize the total cost. Let's assume that x ft of the perimeter is fenced with metal fencing, and the remaining 2L.

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Answer:

56x-38

Step-by-step explanation:

2(8x+9)-8(7-5x)

16x+18

-8(7-5x)

-56+40x

16x+18-56+40x

Add all like terms

56x-38

Answer:16x + 18 -56+40x=0

16x+40x +18-56=0

56x-38=0

56x=38

X=19/28

Step-by-step explanation:

Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.

In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.

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A quadratic regression equation for the stream of water is,

⇒ y = -0.139x² + 1.667x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Here, The vertex = (6, 5)

Axis of symmetry is line, x = 6

And, A third point in the parabola is, (12, 0)

Hence, The quadratic regression equation for the stream of water is,

⇒ y = - a(x - 6)² + 5

      = -a(x² - 12x + 36) + 5

      = -ax² + 12ax - 36a + 5

Since the parabola passes through point (0, 0),

i.e. -36a + 5 = 0

⇒ a = 5/36

⇒ a = 0.139

Therefore, The equation is,

⇒ y = -0.139x² + 12(0.139)x

⇒ y = -0.139x² + 1.667x

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Answer:

Its A

Step-by-step explanation:

Answer:

130.68 mm²

Step-by-step explanation:

given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

here ratio of sides = 5 : 11 , then

ratio of areas = 5² : 11² = 25 : 121

let x be the area of Δ YPR , then by proportion

\(\frac{25}{27}\) = \(\frac{121}{x}\) ( cross- multiply )

25x = 3267 ( divide both sides by 25 )

x = 130.68

area of Δ YPR ≈ 130.68 mm²

Using a system of equations, the quantity of Type A coffee that Trey's Coffee Shop blended with Type B coffee was 78 pounds.

A system of equations or simultaneous equations is two or more equations solved concurrently, simultaneously, or at the same time.

Unit Cost Per Pound:

Type A coffee = $5.80

Type B coffee = $4.25

The total quantity of pounds of the blend = 142 pounds

The total cost of 142 pounds = $724.40

Let the number of Type A coffee = x

Let the number of Type B coffee = y

x + y = 142 ... Equation 1

5.8x + 4.25y = 724.40 ... Equation 2

Multiply Equation 1 by 4.25:

4.25x + 4.25y = 603.5 ... Equation 3

Subtract Equation 3 from Equation 2:

5.8x + 4.25y = 724.40

-

4.25x + 4.25y = 603.5

1.55x = 120.9

x = 78

Substitute x = 78 in either equation:

x + y = 142

78 + y = 142

y = 64

Thus, 78 pounds of Type A coffee was used for the mixture.

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Answer:

0.0038 = 19/5000

The Graham's scan algorithm calculates the convex hull of a set of points, which guarantees a convex polygon. The smallest area polygon containing the set of points is not the convex hull of those points.

To demonstrate that the smallest area polygon containing a set of points may not always be a convex hull of that set of points, let's consider a simple example.

Suppose we have a set of four points: A, B, C, and D, arranged in a square formation, as shown below:

A----B

|    |

|    |

D----C

If we calculate the convex hull of these points using the Graham's scan algorithm, we would obtain the convex hull as ABCDA, which is a square.

However, if we look for the smallest area polygon that contains these points, we can find a non-convex polygon. By connecting the points A, B, C, and D in that order, we form a quadrilateral:

A----B

\  /

 \/

 /\

/  \

D----C

This quadrilateral, ABCD, is not convex, as it has an internal angle greater than 180 degrees.

Hence, in this example, the smallest area polygon containing the set of points is not the convex hull of those points. This example demonstrates that the smallest area polygon can be non-convex, and the convex hull may not always provide the minimum area solution.

The Graham's scan algorithm specifically calculates the convex hull of a set of points, which guarantees a convex polygon. However, to find the smallest area polygon, other techniques or algorithms need to be applied.

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Answer:

b= 64 m

Step-by-step explanation:

\(b^{2}\) + \(48^{2}\) = \(80^{2}\)

\(b^{2}\) = \(80^{2}\) - \(48^{2}\)

\(b\) = \(\sqrt{80^{2}-48^{2} }\)

 = \(64\) m

Answer:

is it math

Step-by-step explanation:

omg I really really really hate math

Answer:   1.4

Work Shown:

42 cupcakes : 30 minutes

42/30 cupcakes : 30/30 minutes

1.4 cupcakes : 1 minute

The unit rate is 1.4 cupcakes per minute. This assumes that the rate is kept the same.

Answer: 70%

Step-by-step explanation:

Please tell me if I am wrong.

The probability that an individual would wait longer than 4 minutes to be served is approximately 0.08.

To find the probability that an individual would wait longer than 4 minutes to be served, we can use the exponential distribution formula

The exponential distribution is defined by the formula:

f(x) = λ * exp(-λx)

Where λ is the rate parameter (the reciprocal of the expected value).

In this case, the expected wait time is 10 minutes, so the rate parameter λ is equal to 1/10 = 0.1.

To find the probability that an individual would wait longer than 4 minutes (P(X > 4)), we integrate the exponential distribution function from 4 to infinity:

P(X > 4) = ∫[4,∞] λ * exp(-λx) dx

P(X > 4) = ∫[4,∞] 0.1 * exp(-0.1x) dx

To evaluate this integral, we can use the property that ∫a * exp(bx) dx = (1/b) * exp(bx) + C, where C is the constant of integration.

P(X > 4) = [-0.1 * exp(-0.1x)] evaluated from 4 to ∞

P(X > 4) = [-0.1 * exp(-0.1x)] from 4 to ∞

Since exp(-0.1x) approaches 0 as x approaches infinity, we have:

P(X > 4) ≈ [-0.1 * exp(-0.1x)] from 4 to ∞

P(X > 4) ≈ [-0.1 * 0] - [-0.1 * exp(-0.1 * 4)]

P(X > 4) ≈ 0 + 0.1 * exp(-0.1 * 4)

P(X > 4) ≈ 0.1 * exp(-0.4)

Using a calculator, we can calculate the approximate value:

P(X > 4) ≈ 0.1 * 0.08≈ 0.08

Therefore, the probability that an individual would wait longer than 4 minutes to be served is approximately 0.08.

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Answer:

3rd one

Step-by-step explanation:

12

Answer:

1. y=2x+4

2. y=x

3. y=-1/2x+1

4. y=-x+1

Step-by-step explanation:

the formula for these are y=mx+b. Your slope would be m and y intercept would be b. so y=2x+4 would mean that the slope is 2 and y intercept is 4. you can find the points by checking what points are on the blue line.

Answer:

A-B really simple.

Step-by-step explanation: