the average college student produces 640 pounds of solid waste each year. if the standard deviation is approximatley 85 pounds within what weight limits will at least 88.89% of all students garbage lie use chebyshevs theorem

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

The volume of the cylinder can = 1000 cubic cm

Consider the height of the cylinder as h and the radius of the base is r

Volume of the cylinder = π\(r^2\)h = 1000

h = 1000 / π\(r^2\)

The surface area of the cylinder

A = 2π\(r^2\) + 2πrh

A = 2π\(r^2\) + 2πr(1000 / π\(r^2\) )

A = 2π ( \(r^2\) + 1000 / π\(r^2\))

Differentiate the terms

A' =  2π (2r + 1000 / π\(r^3\))

When the minimum surface area

2π (2r + 1000 / π\(r^3\)) = 0

r = \((1000/2\pi )^\frac{1}{3}\)

r = 5.41 cm

Then,

h =  1000 / π\(r^2\)

= 1000 / (π × 5.41 × 5.41)

= 1000 / 91.94

= 10.87 cm

Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

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The GCF (greatest common factor) of the first two terms of the polynomial 3p^(3)+9p^(2)+5p+15 is 3p^(2). This is because both terms have a common factor of 3p^(2) that can be factored out.

The GCF of the last two terms of the polynomial is 5. This is because both terms have a common factor of 5 that can be factored out.

Therefore, the polynomial can be factored as follows:

3p^(2)(p+3) + 5(p+3)

Now, we can factor out the common factor of (p+3) to get the final factored form of the polynomial:

(3p^(2)+5)(p+3)

So, the GCF of the first two terms is 3p^(2) and the GCF of the last two terms is 5.

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The height of the water increasing at the rate of   \(\frac{1}{12} \frac{m}{min}\) .

What is a function?

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be linked to the input.

We need a function to connect the two variables when there are associated rates; in this instance, it is unmistakably volume and height. The equation is:

\(V=\) \(\pi r^{2}h\)

Although radius is mentioned in the formula, it is not a variable in this issue because it is constant. We might change the value in

V=\(\pi(6m)^{2}h\)

We must implicitly differentiate wrt (with respect to) time because the rate in this problem is tied to time

\(\frac{dV}{dt} =(36m^{2} )\)  \(\pi\frac{dh}{dt}\)

In the problem, we are given  \(3\frac{m^{2} }{min}\)   which is  \(\frac{dV}{dt}\) .So we substitute this in:

\(\frac{dh}{dt} =\frac{3m^{3}}{min(36m^{2} )\pi }\)

\(=\frac{3}{36\pi} \frac{m}{min}\)

\(=\frac{1}{12} \frac{m}{min}\)

Hence, the height of the water increasing at the rate of  \(\frac{1}{12} \frac{m}{min}\) .

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Given two independent events A and B with probabilities Pr[A]=0.6 and Pr[B]=0.4, the probability of the intersection of event A and the complement of event B (i.e., B') is 0.36.

We can use the formula for the probability of the intersection of two events A and B as follows:

Pr[A ∩ B'] = Pr[A] - Pr[A ∩ B]

Since A and B are independent, we know that Pr[A ∩ B] = Pr[A] * Pr[B]. Therefore, substituting the given probabilities, we get:

Pr[A ∩ B'] = 0.6 - (0.6 * 0.4) = 0.36

Therefore, the probability of the intersection of event A and the complement of event B (i.e., B') is 0.36.

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Answer: Y= -5x+4

Step-by-step explanation:

Recall the following identities:

sin²(x) = (1 - cos(2x))/2

cos²(x) = (1 + cos(2x))/2

Then

sin²(π/8) = (1 - cos(π/4))/2 = (1 - 1/√2)/2

cos⁴(3π/8) = (cos²(3π/8))² = ((1 + cos(3π/4))/2)² = ((1 - 1/√2)/2)²

and so

sin²(π/8) - cos⁴(3π/8) = (1 - 1/√2)/2 - ((1 - 1/√2)/2)²

… = (1 - 1/√2)/2 • (1 - (1 - 1/√2)/2)

… = (2 - √2)/4 • (1 - (2 - √2)/4)

… = (2 - √2)/16 • (4 - 2 + √2)

… = (2 - √2)(2 + √2)/16

… = (4 - 2)/16

… = 1/8

A quadrilateral with congruent diagonals is a rectangle. In a rectangle, the opposite sides are parallel and equal in length, and all interior angles are 90 degrees. The diagonals in a rectangle are congruent, which means they have the same length.

This property distinguishes rectangles from other quadrilaterals such as squares, rhombuses, parallelograms, kites, isosceles trapezoids, and trapezoids. Although squares and rhombuses also have congruent diagonals, they possess additional properties that rectangles do not have, such as all sides being equal in length for both squares and rhombuses, and all angles being 90 degrees for squares.

On the other hand, parallelograms, kites, isosceles trapezoids, and trapezoids do not have congruent diagonals. Therefore, a quadrilateral with congruent diagonals is a rectangle.

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Answer:

y - 7 = 3 ( x - 9 )

Answer:

The difference in meaning is that

-3 is a signed value. It lies to the left of zero

+3 is also a signed value, and since it is positive, it lies to the right of zero

|-3| is just the physical distance (left or right) of -3 from zero. Since we live in a physical world, all distances are positive, so its signed value is 3.

Since +3 is also 3 units from zero, |+3| = 3

|-3| = |+3| = 3 since both are three units away from zero.

So, when using absolute values as numbers, rather than distances,

|x| = x if x is not negative

|x| = -x if x is negative

Answer:

I think 50 i may be wrong though

Step-by-step explanation:

Answer:

a -5 Step-by-step explanation: Its the only answer thats

less then -4

If a marble is selected at random from Adrian's Bag of Marbles, then the probability that marble selected from Adrian's bag will not be red is 0.7.

The "Probability" of an "event-A" occurring is defined as the ratio of the number of favorable outcomes for event A to the total number of possible outcomes in a given sample space. It is denoted as P(A).

To find the probability that marble selected will not be red,

we need to find "total-number" of marbles in Adrian's bag and the number of marbles that are not red.

We know that,

⇒ Number of red marbles = 3,

⇒ Number of blue marbles = 7,

So, Total marbles in bag = Number of red marbles + Number of blue marbles,

⇒ 3 + 7 = 10,

The Number of marbles that are not red = Number of blue marbles = 7,

So, probability that marble selected will not be red is :

⇒ Probability (not red) = (Number of marbles that are not red)/(Total number of marbles),

⇒ 7/10,

⇒ 0.7

Therefore, the required probability is 0.7.

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The given question is incomplete, the complete question is

Adrian's Bag of marbles contain 3 Red and 7 Blue Marbles, If a marble is selected at random from Adrian's Bag of Marbles, then What is the probability the Marble selected will NOT be red?

D=9000-95x

1) Gathering the data from the question

Meghan borrowed: $9000

Monthly Payments: $ 95

2) Let's model this equation:

Since there's no interest rate, and calling D the debt, Meghan's debt can be calculated by:

D=9000-95x

x, is the number of months.

D is the Total Debt.

3) On the First Month:

D= 9000-95(1)

D=9000-95

D=8905

And so on...

3) The Graph of this function:

This is a linear function.

Answer:

$10.25

Step-by-step explanation:

95/.1=9.5

9.5*9=85.5

85.5/8

=10.25

Greetings from Brasil...

Here are the operations found:

4y = 4 · y → multiplication of 4 by y

7/d = 7 ÷ d → 7 by d division

t + 8 → sum of t with 8

3 + t → sum of 3 with t

If the maximum height of the ball is greater than or equal to the height of the fence, then it would clear the fence.

To determine whether the ball hit towards the fence would clear it, we need to use the laws of projectile motion. Assuming the ball was hit at an angle of 45 degrees, we can calculate the maximum height it would reach using the following formula:

h = (\(v^{2}\) * \(sin^{2} \alpha\)) / (2g)

where h is the maximum height, v is the initial velocity, \(\alpha\) is the launch angle, and g is the acceleration due to gravity (9.8 m/\(s^{2}\)).

Since we know the distance the ball traveled (130 feet), we can use the following formula to calculate the initial velocity:

d = \(v^{2}\) * sin(2\(\alpha\)) / g

where d is the distance, v is the initial velocity, \(\alpha\) is the launch angle, and g is the acceleration due to gravity (9.8 m/\(s^{2}\)).

Converting the distance and height to meters (since the formula uses SI units), we have:

d = 130 * 0.3048 = 39.624 m

h = 7.62 m (assuming a 45 degree launch angle)

Using the second formula, we can solve for the initial velocity:

v = \(\sqrt{dg/sin2\alpha }\) = \(\sqrt{39.624*9.8/sin(90)}\) = 28.07 m/s

To determine whether the ball would clear the fence, we need to calculate the height of the fence in meters:

fence_height = 25 * 0.3048 = 7.62 m

If the maximum height of the ball is greater than or equal to the height of the fence, then it would clear the fence. In this case, since the maximum height is 7.62 m and the fence height is also 7.62 m, the ball would just clear the fence if it was hit directly towards it at a launch angle of 45 degrees. However, if the ball was hit at a different angle or with a different initial velocity, the outcome could be different.

Correct Question:

There is a 25ft fence, 130 feet away from where the ball was hit. If the ball was hit towards the fence, would it be high enough to clear the fence?

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Answer:

Step-by-step explanation:

club sold 40 scarves and hats so the sum of scarves and hats is 40

s + h = 40       - one of equations

They charged $18 for each scarf and $14 for each hat so:

18×s   - money made from scarves

14×h   - money made from hats

18s + 14h  - sum of money made from scarves and hats so:

18s + 14h = 700      - second of equatinons

The system of equations represents the constraints of the situation are   s + h = 40 and 18s + 14h = 700.Option A is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that, the knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.

If s represents the number of scarves sold and h represents the number of hats sold.

The system of equations is as follows,

s + h =40

18s +14h = 700

Thus,the system of equations represents the constraints of the situation are   s + h = 40 and 18s + 14h = 700.Option A is correct.

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The value of 8x3 + 27y is 4096/y2 + 27y

An equation is a mathematical statement that shows the equality of two expressions using an equals sign (=). The expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS) of the equation. The LHS and RHS can contain numbers, variables, mathematical operations such as addition, subtraction, multiplication, division, and exponentiation, as well as functions.

To solve for the value of 8x3 + 27y, substitute the value of x from the equation xy = 8.  

We can use the equation xy = 8 to solve for x:  

xy = 8  

x = 8/y  

Now that we know the value of x, we can substitute it into the original equation to solve for the value of 8x3 + 27y:  

8x3 + 27y = 8(8/y)3 + 27y  

= 8*(512/y3) + 27y  

= 4096/y2 + 27y  

Therefore, the value of 8x3 + 27y is 4096/y2 + 27y when x = −7 − 3y 2 x = - 7 - 3 y.

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A) The range is Minimum = Negative Infinity & Maximum = 5

B) The asymptote of f(x) is x = 3.

A piecewise function, or f(x), is a function with various definitions in various intervals of x. A piecewise function's graph is divided into sections that each correspond to one of its definitions. A very good illustration of a piecewise function is the absolute value function.

Given:

f(x) = \(3^{x-1\) - 4 , x≤3

        15/x       , x>3.

From the graph of the function, we have the following range of f(x)

Minimum = Negative Infinity

Maximum = 5

The asymptote of f(x) is x = 3.

and, The end behavior of f(x)

From the graph, we have:

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Answer:

168

Step-by-step explanation:

so what you are going first is 24 times 7 which is

Answer: $2624

Step-by-step explanation:

Well since it’s square yards that means find the area first and since it’s a square and your given 1 side then it’s 8(8)=64. So there’s 64 square yards and since it’s $41 per square yard then multiply 64(41) which will give you $2624

Answer:

1830 km

Step-by-step explanation:

915km --------------- 1 hora

(X) ???? km -------- 2 horas

entonces = X = 915km x 2 horas = 1830 km/h / 1hora = 1830km

Answer:

50 = x · 3.75

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

10 marbles in a bag 7 of them are blue and the (10-7)=3 green

P( blue) = blue / total

            = 7/10

we dunno, hmmm let's check for the slope for PQ

\(P(\stackrel{x_1}{-8}~,~\stackrel{y_1}{-10})\qquad Q(\stackrel{x_2}{-5}~,~\stackrel{y_2}{-12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-12}-\stackrel{y1}{(-10)}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{(-8)}}} \implies \cfrac{-12 +10}{-5 +8} \implies \cfrac{ -2 }{ 3 } \implies - \cfrac{2 }{ 3 }\)

keeping in mind that perpendicular lines have negative reciprocal slopes, then if both are truly perpendicular, then line RS will have a slope of

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2} \implies \cfrac{3}{ 2 }}}\)

let's see if that's true

\(R(\stackrel{x_1}{9}~,~\stackrel{y_1}{-6})\qquad S(\stackrel{x_2}{17}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-5}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{17}-\underset{x_1}{9}}} \implies \cfrac{-5 +6}{8} \implies \cfrac{ 1 }{ 8 } ~~ \bigotimes ~~ \textit{not perpendicular}\)

Answer:

Step-by-step explanation:

No they are not perpendicular.

Perpendicular lines have slopes that are negative reciprocals of each other.

PQ slope = -12 - -10/-5 --8 = -2/3

RS slope = -5 - -6/17 -9 = 1/8

Slope are not negative reciprocals - the lines are not perpendicular.

Slope formula is m = y2 - y1/x2 - x1

Use this to determine slope.

For example if the the slope of RS was 3/2 - the lines would be perpendicular.

Answer:

The range of the distribution is 62

Step-by-step explanation:

Here in this question, we are interested in computing the value for the range.

Mathematically;

range = Highest value - lowest value

from the question, highest valve = 89 while lowest value = 27

Plugging the values into the range equation, we have;

Range = 89-27 = 62

The percentage of population of those knowing neither Hindi nor English is 43%.

The outcome of multiplying a given number by a percentage is the percentage. Since a percentage is a portion of a number or quantity, they are typically smaller than the actual number. There are instances, though, where the percentage exceeds the number. If the percentage is greater than 100%, this would occur.

A percentage is simply a certain proportion of a number.

Typically, the phrase "percent of" comes after the quantity.

So, 70% of 50 is 35, for instance.

50 is the quantity, 35 is the percentage, and 70% is the percent in this sentence.

The total percentage of population is represented by 100%, so let the population be 100

No. of population that knows only Hindi = 34 - 23

                                                                   = 11

No. of population that knows only English = 46 - 23

                                                                      = 23

No. of population that knows both = 23

The sum = 11 + 23 + 23

              = 57

No. of population that knows neither Hindi nor English = 100 - 57

                                                                                           = 43

And percentage = 43%

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