The city is planning a concert that is expected to bring in a crowd of about


200,000 people. The concert will be held in a public park. The city planners are thinking


about the size and shape of the space that will be needed to accommodate this


number of people.


At a much smaller yet similar event, the crowd was estimated to be about


22,000 people. At this event, the crowd was confined to an area that was roughly the


shape of a right triangle with side lengths that were approximately 300 feet, 350 feet,


and 461 feet.


Determine the appropriate dimensions of a similar space with 200,000 people.


Show your work or explain your modeling.


hallar larger

Answer:

1. Distribute

2. Combine like terms

3. Get all variable on one side and everything else on the other (Inverse operations: Add / subtract)

4. Solve for one of your variables (inverse operation: Multiple / Division

5. Simplify

Estelle is a manager at Pearl Lake Resort. She asked 80 resort guests if they would prefer to rent a stand-up paddleboard or a kayak, 0.20 (or 20%) more guests would prefer to rent a kayak than would prefer to rent a stand-up paddleboard.

To decide how many more guests might favor to hire a kayak than could prefer to lease a stand-up paddleboard, we need to examine the relative frequencies for each option.

As per to the desk, the relative frequency for renting a stand-up paddleboard is 0.40, a ts well ashe relative frequency for renting a kayak is 0.60.

To locate the variation, we subtract the relative frequency of renting a stand-up paddleboard from the relative frequency of renting a kayak:

0.60 - 0.40 = 0.20

Therefore, 0.20 (or 20%) more guests could favor to lease a kayak than could opt to lease a stand-up paddleboard.

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Answer:50

Step-by-step explanation:

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Answer:

Below.

Step-by-step explanation:

We need to prove this identity by taking the left  side and trying to transform it to the right side.

LHS = sin(150 + x) + sin(150 − x)

= sin 150 cos x + sin x cos 150 + sin 150 cos x - sin x cos 150

=  2 sin 150 cos x

= 2 * 1/2 * cos x

= cos x = RHS.

So it is proved.

Answer: \(x=8, y=2\sqrt 2\)

Step-by-step explanation:

By the Pythagorean theorem, x=8.

So, by the geometric mean theorem,

\(y^2 = (6)(2)=8\\\\y=2\sqrt{2}\)

Absolute values are non-negative value of a number. it can denote the distance of a number from zero

Answer:

48 days

Step-by-step explanation:

Given that :

30 men can ado a piece of work in 40 days

Assume they work at the same rate, then we it means that ;

1 man will take (30 * 40) = 1200 days to finish the work

Reducing 5 men, means we now have (30 - 5) = 25 men

If ;

1 man takes 1200

25 men will take ;

1200 / 25

= 48 days

Answer:

0.55 inches

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

3rd choice

Step-by-step explanation:

Sniec you cant have two domains same

Answer:

X=-4

Step-by-step explanation

trust

Therefore, there are 10 different signals that can be generated using 5 flags of different colors, where each signal requires the use of 2 flags, one below the other.

To determine the number of different signals that can be generated using 5 flags of different colors, where each signal requires the use of 2 flags, one below the other, we can use the concept of combinations. Since each signal consists of 2 flags, we need to select 2 flags out of the 5 available. The order of selection does not matter, as the flags are stacked vertically. The number of combinations of selecting 2 flags out of 5 can be calculated using the binomial coefficient formula:

C(n, k) = n! / (k! * (n - k)!)

Where:

C(n, k) represents the number of combinations of selecting k items from a set of n items.

n! denotes the factorial of n, which is the product of all positive integers less than or equal to n.

In this case, n = 5 (5 flags) and k = 2 (selecting 2 flags).

Plugging in the values:

C(5, 2) = 5! / (2! * (5 - 2)!)

= 5! / (2! * 3!)

= (5 * 4 * 3!) / (2! * 3!)

= (5 * 4) / 2

= 10

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The tool that you'd use to draw cubes on Inkscape is called "The 3-D Box" tool. Note that this is as per version 0.48.

Inkscape is an open-source and free vector graphics editor that is mostly used to produce vector pictures in Scalable Vector Graphics format. Other formats are supported for import and export. Inkscape is capable of rendering rudimentary vector shapes and text.

The default format of Inkscape is Scalable Vector Graphics (SVG), however, it can also handle most image formats, including PDF, JPG, GIF, and PNG. Inkscape can also handle PostScript, Sketch, CorelDRAW, and other patented image formats with the use of free, downloadable extensions.

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Each statement about integer is:

Statement A: If positive is subtracted from a negative integer, the difference is negative integer.

This statement is sometimes true.

If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.

Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.

This statement is sometimes true.

If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.

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Answer:

a) additive property of equality

Step-by-step explanation:

You canceled the addition of 21 to help simplify the equation.

The probability P[D3] that the absolute value of the difference of two fair six-sided dice is calculated to be 0.1667.

To find the probability P[D3] that the absolute value of the difference of two fair six-sided dice is 3, the first step is to calculate the number of favorable outcomes.

There are 6 possible outcomes where the absolute value of the difference is 3: (1,4), (4,1), (2,5), (5,2), (3,6) and (6,3). Therefore, the number of favorable outcomes is 6.

The next step is to calculate the total number of outcomes. Since there are two dice with six sides each, the total number of outcomes is 36 (6 x 6 = 36).

Finally, the probability P[D3] is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the probability P[D3] is 6/36 = 0.1667.

Therefore, the probability P[D3] that the absolute value of the difference of two fair six-sided dice is 3 is 0.1667.

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Answer:

80 m.

Steps: perimeter =4 x side

=4x20=80m

Answer:

40 m

Step-by-step explanation:

Formula of perimeter of a rectangle = 2(l + b)

where l = Length & b = Breadth

According to the question ,

Sum of length & breadth = l + b = 20m

Perimeter = 2(l + b) = 2 × 20 = 40m

Answer:

f(x) = 29

Step-by-step explanation:

f(x)=23-(3x0)-(2X0)+6

f(x)=23+6

f(x)=29

Production line fill weights refer to the amount of product that is filled into each container on a production line. In this case, the mean filling weight is 16 ounces per container. It is important to avoid both overfilling and underfilling to maintain product quality and meet regulatory requirements.

To ensure consistent fill weights, manufacturers often use quality control measures such as statistical process control (SPC) techniques. SPC involves regularly sampling containers from the production line and measuring their fill weights. By analyzing the data, manufacturers can identify any variations in the filling process and take corrective actions. Overfilling can lead to product wastage, increased costs, and potential regulatory issues. Underfilling, on the other hand, can result in dissatisfied customers, legal consequences, and loss of reputation. Therefore, it is crucial to maintain the mean filling weight at the desired level of 16 ounces per container.

In conclusion, production line fill weights play a vital role in ensuring product quality and meeting regulatory requirements. By implementing quality control measures like SPC, manufacturers can monitor and control the filling process to avoid overfilling or underfilling. This helps to minimize product wastage, maintain customer satisfaction, and uphold the company's reputation.

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The number of franchises predicted for 15 years from now is 24. To determine the number of franchises predicted for 15 years from now, we need to solve the given differential equation.

The equation dn =\(\frac{9}{t+1}\) dt represents the rate at which the number of franchises (dn) is changing with respect to time (dt). Integrating both sides of the equation gives us the equation n = 9 ln(t+1) + C, where C is the constant of integration.

Given that there is one franchise at present (t = 0), we can substitute n = 1 and solve for C. Plugging in the values, we get 1 = 9 ln(0+1) + C, which simplifies to C = 1 - 9 ln(1) = 1.

Now, to find the number of franchises predicted for 15 years from now (t = 15), we substitute t = 15 into the equation n = 9 ln(t+1) + C. Plugging in the values, we get n = 9 ln(15+1) + 1, which simplifies to n = 24. Therefore, the predicted number of franchises for 15 years from now is 24.

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The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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Answer:

A. -30+4√21/55

Step-by-step explanation:

edge

The exact value of sin(v + w) for the given values of sin (v) and cos (w) is 0.37.

The sine of an angle is the ratio of the height to the hypotenuse of the given triangle.

The cosine of the angle is the ratio of the base to the hypotenuse of the triangle.

Given, sin (v) = - 3/5, cos (w) = 10/11

Therefore, cos (v) = √[1 - (- 3/5)²] = √[1 - 9/25] =  √(16/25) = - 4/5 (As, 'v' is an angle in Quadrant III)

sin (w) = √[1 - (10/11)²] = √[1 - 100/121] =  √(21/100) = - (√21)/10 (As, 'w' is an angle in Quadrant IV)

Now, sin(v + w)

= sin (v) cos (w) + cos (v)sin (w)

= (- 3/5)(10/11) + (- 4/5)(- √21)/10

= -6/11 + (2√21)/10

= - 0.55 + 0.92

= 0.37

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The radius of convergence (r) for the given series is 0.

To determine the radius of convergence for the given series, we need to consider the convergence of the series expansion of the function f(x) = ln(2 - x) around a specific point. The radius of convergence (r) is the distance from this point to the nearest singularity of the function.

In this case, the series expansion is centered around x = 2 since ln(2 - x) is not defined for x = 2. Therefore, the radius of convergence (r) is the distance from x = 2 to the nearest singularity.

Since the function ln(2 - x) is not defined for x = 2, we can say that the nearest singularity is located at x = 2. Hence, the distance from x = 2 to the nearest singularity is 0.

Therefore, the radius of convergence (r) for the given series is 0.

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Answer:

\(1996.5\)

Step-by-step explanation:

\(16.5 X 4 X 30.25\)

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Answer:

To calculate the volume of a object, all you need to do is multiply the length, width and height.  In this equation, that would be 1996.5cm or 786.02362204 inches

Step-by-step explanation:

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Using a calculator, we can calculate sin 84° right away by typing it there and the answer would be:

sin 84° = 0.9945218954

Since the question is asking us to round it to the nearest hundredth, meaning two places after the decimal, the answer will be 0.99.

Counting from point M (0 unit) on this number line, we can logically deduce that point H is located at -7.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

In Mathematics, there are six (6) common types of numbers and these include the following:

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length. Also, the negative numerical values are positioned at the left from zero while the positive numerical values are positioned at the right from zero.

Note: Each of the tick represents 1 unit.

Therefore, counting from point M (0 unit) on this number line, we can logically deduce that point H is located at -7.

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predicted value of the slope , A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable. Both variables ought to have numerical values.

When the parameters are linear, a regression equation (or function) is said to be linear in statistics. Although the predictor variables can be transformed in ways that result in curvature, the equation must be linear in the parameters.

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in linear regression, the fitted value is the:  predicted value of the dependent variable

When you enter the values of the predictors, factor levels, and other inputs into a statistical model, the predicted mean response value is known as the fitted value.

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