which one of the following should be given the highest priority in the integrated solid waste management approach: group of answer choices landfill combustion with energy recovery source reduction combustion without energy recovery recycling

Answer:

25/26

Step-by-step explanation:

7/13 = 14/26 + 11/26 = 25/26

(2/2 x 7/13)

It is given that a single die is used.

It is required to find the probability of rolling a number less than or equal to 6.

Recall that the probability of an event is given by the formula:

The sample space of a single die is:

Hence, the total number of possible outcomes is 6.

The numbers less than or equal to 6 are:

Hence, the number of favorable outcomes is 6.

Substitute these values into the probability formula:

The answer is D.

Answer:

7x

Step-by-step explanation:

(8x+5)- (x+5)

8x+5-x-5

8x -x(1x)

7x

The probability of rolling a sum of 5 on a standard pair of six sided dice is 1/9.

According to the given question.

A standard pair of dice is rolled.

So, the sample sapce for rolling a pair of dice = {(1,1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4),(5, 5),(5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

⇒ Total number of outcomes = 36

And, the outcomes for getting a sum of five on a sandard pair of six sided dice = {(2, 3), (3, 2), (4, 1), (1, 4)}

⇒ Total number of favorable outcomes = 4

As we know that " probability is the ratio of total number of favorable outcomes to the total number of outcomes".

Therefore,

The probability of rolling a sum of 5 on a standard pair of six-sided dice

= 4/36

= 1/9

Hence, the probability of rolling a sum of 5 on a standard pair of six sided dice is 1/9.

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Answer:

first box: 4

second box: 1

Step-by-step explanation:

f(x) is a pretty standard curve, its a parabola, opens up, vertex at (0,0)

Its the most basic version of a parabola (a kind of U-ish, V-ish smooth curve shape)

But if you mess around with the x...that "- 4" that's in close to the x, it will slide the whole graph over to the right 4 units. Left and right shifts (shifts, slide, translate...all the same thing--it means what you think it should mean) anyway, left and right shifts are a little backwards from what you think it should be:

- anumber shifts right

+ anumber shifts left

There are math reasons why this happens, but just memorize it!

Up and down shifts go the way you think they should. If you tack a number on the end of an equation:

- anumber slides down

+ anumber slides up

So the graph of h is a translation (shift or slide) 4 units right and 1 unit down of f.

Step-by-step explanation:

Marla drove 567

Gudio drove 560

The trip was 679

Answer:

1239

Step-by-step explanation:

Juanita: x

Guido: 5x

Marla: 5x+7

We know Juanita drove 112 miles. This means that x=112.

Juanita: 112

Guido: 5*112=560

Marla: 560+7= 567

Now we can add up the number of miles each friend drove to get the total distance of the trip.

112+560+567=1239

Answer: 2.) the interquartile range is 10

Step-by-step explanation: see pic

I hope this helps :)

The unknown number will be 31, if -16 is added to it and the sum is doubled, the result is 1 less than the number.

Let the unkown number be x.

Now according to the given question.

If -16 is added to the unknown number and the sum is doubled, the result is 1 less than the number.

⇒  (x + (-16))2 = x - 1

⇒ 2x - 32 = x - 1

⇒ 2x - x = -1 + 32

⇒ x = 31

Hence, the unknown number will be 31, if if -16 is added to it and the sum is doubled, the result is 1 less than the number.

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Answer:

3/700

Step-by-step explanation:

hope this helps :))

Answer:

0.83km/h

Step-by-step explanation:

v (velocity/speed) = d (distance)/t (time)

v = 5km/6h

v = 0.83km/h

The slope of the given graph is determined as 1/3.

The slope of a line is a measure of its steepness of the graph. Mathematically, slope is calculated as rise over run or  change in y divided by change in x.

The formula is given as;

slope = Δy / Δx

where;

The slope of the given graph is calculated as follows;

choose the following coordinate points;

( x₁, y₁) = (-6, 0 )

( x₂, y₂) = ( 6 , 4 )

The slope = ( y₂ - y₁ ) / ( x₂ - x₁)

slope = ( 4 - 0 ) / ( 6 - - 6)

slope = ( 4 ) / ( 12)

slope = 1 / 3

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Answer:

first one man

Step-by-step explanation:

Answer:

Yes, it can, because −2.5 lies to the right of −0.5.

Step-by-step explanation:

Answer:

-299 ft

Step-by-step explanation:

Start: -184 ft

Climb: + 53 ft

Descent: - 168 ft

-184 ft + 53 ft - 168 ft = -299 ft

Answer: -299 ft

There are 1440 ways for 8 people to be seated in a round table if persons A and B must sit next to each other with no rules about their respective position.

There are a few steps to figuring out how many ways 8 people can be seated in a round table if persons A and B must sit next to each other.

Step 1: Consider persons A and B as one unit.

By considering both person A and B as one person, that there are now 7 available chairs to be seated around the table.

Step 2: Calculate the number of ways to arrange these 7 units around the table.

Since it is a round table, the number of ways is (7-1)! = 6! = 720.

Step 3: Consider the fact that person A and B can be arranged in 2 different ways within their unit (either A is on the left and B is on the right, or vice versa).

We have no rules about the sequence of person A and B's sits, then we can consider that they can choose 2 more options about their own position. This means that the total number of ways to seat the 8 people is 720 * 2 = 1440.

So, the answer is that there are 1440 ways for 8 people to be seated in a round table if persons A and B must sit next to each other.

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The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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Answer:

y >or equal to 1/3x+1

hope that can help

The solution of the nonlinear differential equation is y(t) for 5 seconds with a time resolution of 0.1 seconds.

To solve the given nonlinear differential equation and plot the solution using MATLAB, you can follow the steps below:

Step 1: Define the differential equation

Create a separate script file, let's call it nonlinear_equation.m, and define the differential equation as a function:

function dydt = nonlinear_equation(t, y)

   dydt = zeros(3, 1);

   dydt(1) = y(2);

   dydt(2) = y(3);

   dydt(3) = exp(-1.5 * y(1)) * (1 - 6 * y(1) / y(2)) * y(3) / y(2);

end

Step 2: Solve the differential equation

Create another script file, let's call it solve_equation.m, to solve the differential equation numerically and plot the solution:

% Define the time span and initial conditions

tspan = 0:0.1:5;

y0 = [1; pi/6; 0];

% Solve the differential equation numerically

[t, y] = ode45(atnonlinear_equation, tspan, y0);

% Plot the solution

plot(t, y(:, 1), 'b', t, y(:, 2), 'r', t, y(:, 3), 'g');

xlabel('Time');

ylabel('y(t)');

title('Solution of the Nonlinear Differential Equation');

legend('y', 'y''', 'y'''');

grid on;

Step 3: Run the MATLAB script

Save both the nonlinear_equation.m and solve_equation.m files in the same directory. Then, run the solve_equation.m script in MATLAB.

It will generate a plot with the solution y(t) for 5 seconds with a time resolution of 0.1 seconds.

Make sure you have the Ordinary Differential Equation (ODE) solver (ode45) available in your MATLAB installation. This solver is commonly included in MATLAB's core functionality.

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Answer: 30

Step-by-step explanation:

15 is a odd but not a counterexample

18 is a even and is not a counterexample

30 divided 5 = 6

35 is a odd but not a counterexample

Counterexample: if a number is divided by 5 then it is an even number.

sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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The following equations produces a direct variation : III.) f(x) = 3x. Hence, option a) III. only is the correct answer.

If f(x) varies directly with x, then it can be represented by the equation f(x) = kx, where k is a constant of proportionality. Therefore, to determine if an equation represents a direct variation, you need to determine if it can be written in this form of kx.

Now, let's examine each of them: I. f(x) = xyz: This equation is not in the form of kx. It has three variables: x, y, and z. Since we don't know how each variable relates to one another, we can't determine if it represents a direct variation.

II. f(x) = x³: This equation is not in the form of kx either. It has a variable x, but it's cubed. This means that f(x) does not vary directly with x.

III. f(x) = 3x: This equation can be written in the form of kx. If k = 3, then the equation becomes f(x) = 3x. This shows that f(x) varies directly with x.

Therefore, the correct answer is III only.

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Answer:

U'(-2 , -2)

Step-by-step explanation:

U(2 , -2)

Let R be the rotation of center the origin O(0 , 0) and angle 270

Let M(z = x + iy) a point of the plane and  its image M'(z' = x' + iy') by the rotation R.

Then

\(z^{\prime }=e^{i\frac{3\pi }{2} }\times z\)

Then

x' + iy' = (0 -i)×(x + iy)

Then

x' + iy' = (-i) × (x + iy)

         = -ix + y

Then

x' = y and y' = -x

Then

R transform M(x , y) to the point M'(y , -x)

Conclusion :

The image of U(2 , -2) by R is :

U'(-2 , -2)

For this problem, we are given the size of two populations, we are informed that their means are different, and we need to determine the degrees of freedom and critical values of t.

For this problem, we first need to determine the degrees of freedom, since we have two samples, we need to use the following formula:

Applying the size for both, we have:

Now we need to use the "t table" and look for the degree of freedom we found above:

The critical value is 1.684.

The r-value for the given sales and profit data is 0.951. Yes, the correlation is considered strong. we can use the regression line equation derived from the given data.

The r-value, also known as the correlation coefficient, measures the strength and direction of the linear relationship between two variables. In this case, the r-value of 0.951 indicates a strong positive correlation between sales and profits.

A correlation coefficient ranges from -1 to +1. A value of +1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable increases proportionally. In our case, as sales increase, profits also tend to increase, but not necessarily at a perfect rate.

The strength of the correlation can be interpreted based on the magnitude of the r-value. Generally, an r-value above 0.8 is considered a strong correlation. In our case, the r-value of 0.951 indicates a strong positive correlation between sales and profits.

To estimate the expected profit when sales are $10 million, we can use the regression line equation derived from the given data. However, since the data points provided are limited,

we cannot calculate the regression line or the expected profit accurately. To make a more precise estimation, a larger dataset with a wider range of sales values would be required.

In summary, the r-value of 0.951 suggests a strong positive correlation between sales and profits. However, without a complete dataset or a regression line equation, we cannot accurately determine the expected profit when sales are $10 million.

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Option (b) is correct. Both 1) and 2) have equivalent iterations, and 3) and 4) have equivalent iterations.

Option 1) for (int q=1; q<=100; ++q) iterates 100 times, starting from 1 and incrementing by 1 until q reaches 100.

Option 2) for (int q=100; q=0; -9) also iterates 100 times, starting from 100 and decrementing by 9 until q reaches 0.

Option 3) for (int q=99; q>0; q-=9) iterates 12 times, starting from 99 and decrementing by 9 until q becomes less than or equal to 0.

Option 4) for (int q=990; q>0; q-=90) also iterates 12 times, starting from 990 and decrementing by 90 until q becomes less than or equal to 0.

Comparing the number of iterations, we can see that both 1) and 2) have equivalent iterations with 100 iterations each. Similarly, 3) and 4) have equivalent iterations with 12 iterations each. Therefore, option (b) is correct, as both 1) and 2) have equivalent iterations, and 3) and 4) have equivalent iterations.

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Answer:

10

Step-by-step explanation:

We need to find the greatest number of student among whom 120 oranges and 130 apples can be divided equally.

​It means we need to find the HCF of 120 and 130.

HCF is highest common factor.

The HCF of 120 and 130 is 10.

So, the greatest number of student is 10.

Answer:

80000

Step-by-step explanation

1248/1.56 = 800

1.56% of 80000 = 1248

\(\text{Let it be} ~x\%\\\\~~~~~~x\% \cdot 1248 = 1.56\\\\\implies \dfrac x{100} \cdot 1248 = \dfrac{156}{100}\\\\\implies 1248x= 156~~~~~~~~~~;[\text{Multiply both sides by 100}]\\\\\implies x = \dfrac{156}{1248}\\\\\implies x =\dfrac 18\\\\\implies x = 0.125\)

\(\text{Hence, 1.56 kg is 0.125\% of 1248 g.}\)

The penguin swims half the circumference of the circular island, which is equivalent to half the distance around the circle.

The circumference of a circle can be calculated using the formula:

C = πd,

where C is the circumference and d is the diameter of the circle.

Given that the diameter of the island is 20 meters, the radius (r) of the island is half the diameter, which is 10 meters.

Substituting the value of the radius into the formula, we have:

C = π * 10 meters = 10π meters.

To find half the circumference, we divide the total circumference by 2:

Half circumference = (10π meters) / 2 = 5π meters.

Therefore, the penguin swims a distance of 5π meters.

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