Mr. Green used a wood chipper to produce 640 pounds of mulch for his yard. What is the weight, in ounces, for the mulch which he produced? *

The equivalent expression to 2x² + 4 + 3x² + 2x + 7 is 8x² + 2x + 11.

An equivalent equation is an equation that has the same solution set as another equation. It is a mathematical expression that is equal in value to another expression. The two equations can often be solved using the same methods and yield the same result. Equivalent equations are useful in solving complex mathematical problems by breaking them down into simpler equations.

This is obtained by combining the like terms such as 2x² and 3x², which results in 5x², and 4 and 7 resulting in 11. The expression can be written as 5x² + 2x + 11. The final result can be obtained by multiplying 5x² with 2, which results in 8x². Hence, the equivalent expression is 8x² + 2x + 11.

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The mean of grade-point averages of 20 college seniors selected at random from a graduating class is 2.50.

Mean is the average of all numbers in the data set. The average can be found by dividing the sum of all numbers in the observed data by the number of data observations. This helps researchers, statisticians, etc. to find mean values in datasets. The formula for calculating the

average is:

mean = sum of values / number of values

It is denoted by X-bar.

We have the grade-point averages of 20 college seniors. The the random sample of graduating class as :

2.2, 1.6 ,2.7, 2.2, 2.4, 2.6, 3.8, 3.0, 2.5, 3.3, 1.8, 2.3, 3.3, 2.8, 2.0, 3.2, 2.1, 2.0, 2.9, 1.3

The Sum of grade point averages of 20 college seniors is calculated as follows,

∑ x = 2.2 + 1.6 + 2.7 + 2.2 + 2.4 + 2.6+ 3.8 + 3.0 + 2.5 + 3.3 + 1.8 + 2.3 + 3.3 + 2.8 + 2.0 + 3.2 + 2.1 + 2.0 + 2.9 + 1.3

∑x = 50

Total number of colleges , n = 20

Mean of distribution is calculated as follows,

X- bar = ∑x / n

where n is number of observations

X- bar = 50/20

=> X-bar = 2.5

Hence, required mean is 2.5 ..

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Complete question:

The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:

2.2, 1.6 ,2.7, 2.2, 2.4, 2.6, 3.8, 3.0, 2.5, 3.3, 1.8, 2.3, 3.3, 2.8, 2.0, 3.2, 2.1, 2.0, 2.9, 1.3 Calculate the mean?

Answer:

B

Step-by-step explanation:

this just means that the graph has to have x-intercepts (y = 0) at these x-values.

so, which graph intersects the x-axis at x = -7/3 and x = 1/2 ?

only B does that.

the others have other x-intercept points.

A triangular prism and a triangular pyramid with identical bases and heights are related by the fact that the prism's volume is three times that of the pyramid.

When a pyramid and a prism have bases and heights that are equivalent, the pyramid can fit inside the prism. In reality, when this is the case, the pyramid occupies precisely one-third of the prism's volume. This fact enables us to see a correlation between the volumes of a prism and a pyramid when their bases and heights are equal. That is, a prism with an identical height and base has a volume that is 1/3 that of a pyramid.

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Finding the missing number from the N numbers in the given array arr[] of size N-1 with integers in the range [1, N] is the task. The list must not contain any duplicates.

Java method for locating a missing integer in an array of integers from 1 to N:

Make a temp array temp[] of size n + 1 with a value of 0 for each element.

For each element in the input array arr[i], perform the following.

If (temp[arr[i]] == 0), then temp[arr[i]] is 1.

traverse temp[] and output an element of an array with the value of 0. (This is the missing element).

class GFG; import java.io.*; import java.util.*

public static void findMissing(int arr[], int N)

{

int i;

int temp[] = new int[N + 1];

for (i = 0; i <= N; i++) {

 temp[i] = 0;

}for (i = 0; i < N; i++) {

 temp[arr[i] - 1] = 1;

} int ans = 0;

for (i = 0; i <= N; i++) {

 if (temp[i] == 0)

  ans = i + 1;

} System.out.println(ans);

}

public static void main(String[] args) {

int arr[] = { 1, 3, 7, 5, 6, 2 };

int n = arr.length; // Function call

findMissing(arr, n);

}

}

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The expression to find the total number of slices of pizza is 2 + 3

From the question, we have the following parameters that can be used in our computation:

Initial slices of pizza = 2

Additional slices of pizza = 3

This means that

The expression to find the total number of slices of pizza is

Total number of slices of pizza = Initial slices of pizza + Additional slices of pizza

Substitute the known values in the above equation, so, we have the following representation

Total number of slices of pizza = 2 + 3

Hence, the expression is 2 + 3

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A regression table mainly shows us that what the coefficients values are, and whether each coefficient is significant (likely to be different from from 0) .

A regression table is a statistical technique that describes how strongly a dependent variable and one or more independent variables are correlated (s). A field or variable you are attempting to predict or comprehend could be a dependent variable.

Regression allows researchers to predict or explain the variation in one variable based on another variable. The variable that researchers are trying to explain or predict is called the response variable. It is also sometimes called the dependent variable because it depends on another variable.

What is interpretation of regression statistics table?

In statistics, regression is a technique that can be used to analyze the relationship between predictor variables and a response variable. When you use software (like R, SAS, SPSS, etc.) to perform a regression analysis, you will receive a regression table as output that summarize the results of the regression.

A regression table primarily reveals the values of the coefficients as well as the significance of each coefficient (how likely it is that it will depart from 0).

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Answer:

y = x + 2

Step-by-step explanation:

Each y value is 2 greater than the x value

The area of the composite figures are as follows;

10. Area of the trapezoids are; 96 cm², 80 cm², 96 cm², 80 cm²

Area of the rectangle at the center =  320 cm²

11. Area of the field on the left is 18,600 m²

Area of the field on the right is 11,000 m²

A composite figure is a figure that consists of two or more regular shapes.

10. The width of each trapezoid are;

(28 - 20)/2 = 4

(24 - 16)/2 = 4

The area of each trapezoid are;

The area of each of the left and right trapezoid = 4 × (20 cm + 28 cm)/2 = 96 cm²

Area of the top and bottom trapezoid = 4 × (16 cm + 24 cm)/2 = 80 cm²

Area of the rectangle at the center = 16 cm × 20 cm = 320 cm²

11. Area of ΔDEI = 0.5 × 80 m × 60 m = 2400 m²

Area of trapezoid EIGF = 0.5 × (60 m + 50 m) × (60 m + 20 m) = 4400 m²

Area of the triangle ΔAGF = 0.5 × 50 m × 80 m = 2000 m²

Area of ΔAHC = 0.5 × 40 m × (20 m + 80 m) = 2000 m²

Area of ΔABC = 0.5 × 30 m × (20 m + 80 m) = 1500 m²

Area of quadrilateral AHCB =  2000 m² + 1500 m² = 3500 m²

Area of triangle ΔCDH = 0.5 × 40 m × (80 m + 60 m) = 2800 m²

Adding together, we get;

2400 + 4400 + 2000 + 2000 + 1500 + 3500 + 2800 = 18,600

The area of composite figure is 18,600 m²\

Area of ΔEFH = 0.5 × 20 m × 40 m = 400 m²

Area of trapezoid GFHJ = 0.5 × (20 m + 40 m) (40 m  + 40 m) = 2400 m²

Area of triangle ΔAGJ = 0.5 × 40 m ×(20 m + 60 m) = 1600 m²

Area of triangle ΔABK = 0.5 × 30 m × 60 m = 900 m²

Area of trapezoid BCF_K = 0.5 × (40 m + 30 m) × (40 m + 20 m) = 2100 m²

Area of triangle ΔCIE = 0.5 × 40 m × (40 m + 40 m) =  1600 m²

Area of triangle ΔCDE = 0.5 × 50 m × (40 m × 40 m) = 2000 m²

Adding the areas together, we get;

400 + 2400 + 1600 + 900 + 2100 + 1600 + 2000 = 11000

The area of the field is 11,000 m²

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Answer:

-5

Step-by-step explanation:

-2-3 is -5 :>

Answer:

y=-5

Step-by-step explanation:

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

A translation occurs whenever an object is transported from one place to another without altering its dimension, form, or orientation. We can draw the translation in the coordinate plane if we know which way and how far to move the figure.

The triangle can be translated in the following ways:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Answer:

A ∪ B = [3, 9)

Step-by-step explanation:

Set X is 3, and all number greater than 3 up, but not including, 5.

Set Y is all numbers from 4 to 9, but not including 4 or 9.

The union of the sets is all numbers from 3 up to 9, including 3 but not including 9.
A ∪ B = [3, 9)

Answer:

177x

Step-by-step explanation:

The line passing through point (-5, -6) is y = -2x - 16.

Define Equation of line.

         y - y₁ = m (x - x₁)  

Given point is (-5, -6) and slope is -2.

We know the formula is,

 y - y₁ = m (x - x₁)  

Let, (x₁, y₁) = (-5, -6)

and, m = -2 (slope)

Now, plug in the value

y - (-6) = -2(x - (-5) )

y + 6 = -2(x + 5)

y + 6 = -2x - 10

y = -2x - 10- 6

y = -2x - 16

Hence, the line passing through point (-5, -6) is y = -2x - 16.

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Answer:

Senior citizen ticket: $9

Child ticket: $13

Step-by-step explanation:

This can be solved by creating a system of equations:

[tex]f(x)=7x+5y=128[/tex]

and

[tex]g(x)=8x+10y=202[/tex]

where x is the cost of a senior citizen ticket and y is the cost of a child ticket.

Solve equation 2 for 5y:

[tex]8x+10y=202\\10y=202-8x\\\frac{10y}{x}=\frac{202-8x}{2}\\5y=101-4x[/tex]

Substitute (101-4x) for 5y in equation 1:

[tex]7x+(101-4x)=128\\3x+101=128\\(3x+101)-101=(128)-101\\3x=27\\\frac{3x}{3}=\frac{27}{3}\\x=9[/tex]

Substitute 9 for x in equation 2:

[tex]8(9)+10y=202\\72+10y=202\\(72+10y)-72=(202)-72\\10y=130\\\frac{10y}{10}=\frac{130}{10}\\y=13[/tex]

A senior citizen ticket costs $9 and a child's ticket costs $13.

To check these values, insert them into the equations:

[tex]128=7(9)+5(13)\\128=63+65\\128=128[/tex]

and

[tex]202=8(9)+10(13)\\202=72+130\\202=202[/tex]

The triangle has the following characteristics: A triangle (of any kind) has a total angle of 180 degrees. In a triangle, the lengths of the first two sides are bigger than the length of the third side. The difference between the two sides of a triangle are also smaller than the third side's length.

The 3-sided polygon known as a triangle is also known as the trigon, however this term is not particularly common. There are three sides to every triangle as well as three angles, some of which may be the same.

It is one of the fundamental shapes in geometry. Triangle ABC refers to a triangle with vertices A, B, and C.

The triangle has the following characteristics: A triangle (of any kind) has a total angle of 180 degrees. In a triangle, the lengths of the first two sides are bigger than the length of the third side. The difference between the two sides of a triangle are also smaller than the third side's length.

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Answer:

Step-by-step explanation:

To find the maximum area of one plot, we need to find the greatest common factor of 840 and 396. One way to do this is to use the prime factorization method.

First, we prime factorize 840 and 396:

840 = 2 * 2 * 2 * 3 * 5 * 7

396 = 2 * 2 * 3 * 3 * 11

Then, we find the common factors:

2 * 2 * 3 = 12

So, the greatest common factor of 840 and 396 is 12.

The maximum area of one plot is therefore (840 * 396) / 12 = 140 * 33 = 4620 square meters.

Answer: There is no variable or constant that you can add, subtract, multiply, or divide between the two sides of the sentence to make the sentence false by adding, subtracting, multiplying, or dividing each side of the sentence by the variable x x x and the constant 3.

Answer: No. Adding, subtracting, multiplying, and dividing both sides by the variable x x x and the constant 3 gives a true statement for each operation so there is no variable or constant that you can add, subtract, multiply, or divide to both sides to make the sentence false.

Step-by-step explanation:

A Scatter (XY) Plot has points that show the relationship between two sets of data.

Scatter Plots

A Scatter (XY) Plot has points that show the relationship between two sets of data.

In this example, each dot shows one person's weight versus their height.

Example:

The local ice cream shop keeps track of how much ice cream they sell versus the noon temperature on that day. Here are their figures for the last 12 days:

Ice Cream Sales vs Temperature

Temperature °C Ice Cream Sales

14.2°                    $215

16.4°                    $325

11.9°                            $185

15.2°                    $332

18.5°                    $406

22.1°                    $522

19.4°                    $412

25.1°                    $614

23.4°                    $544

18.1°                            $421

22.6°                          $445

17.2°                    $408

And here is the same data as a Scatter Plot:

It is now easy to see that warmer weather leads to more sales, but the relationship is not perfect.

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[tex]179\times44[/tex]

[tex]=\fbox{7876}[/tex]

__________________________________________________________

The following expressions are equivalent to [tex]179\times44[/tex]:

[tex](179 \times 40) + (179 \times 4) = 179 \times(40 + 4)[/tex]

[tex]4000 + 2800 + 360 + 280 +36[/tex]

[tex](100 \times44) + (70\times44) + (9\times44) = 44 \times (100 + 70 +9) = 44 \times 179[/tex]

Answer:

The Eastern Continental Trail is 5,376 miles and the Erie Canalway Trail is 384 miles

Step-by-step explanation:

I took 5,760 divided it by 15 and got 384, I then subtracted 5,760 by 384 and got 5,376

Answer: 46 chairs

Step-by-step explanation:

First, we have to find the amount of money Darnell spent to rent the chairs by taking

500 - 362 = $138

Then take $138 divided by $3 = 46 chairs

So he rent 1 table and 46 chairs

Answer:

let x - chairs

Darnell rents some tables for $362 and some chairs for $3 each for a party. He spends a total of $500.

500 = 362 + 3x

500 - 362 = 3x

138 = 3x

x = 46

500 = 362 + 3(46)

500 = 362 + 138

500 = 500

Therefore, Darnell rents 46 chairs.

#APPROVED

Step-by-step explanation:

By using Akaike Information Criterion(AIC) to compare various models , We need to consider 16 models to find the one with lowest AIC.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data.

A mathematical tool for assessing how well a model matches the data it was derived from is the Akaike information criterion (AIC).

It's formula is:

AIC=2k-2ln(L)

predictors=independent variables=3

k=independent variables+1=4

Categorical variable= 4 levels

Total number of models to be considered = 4 * 4 =16

Since, Every layer (characteristics of variable) must interact with the predictors variable to calculate AIC and find the lowest one.

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Answer:

A.

Step-by-step explanation:

Just put the equation 3x+4y≥20 into y=mx+b form. Subtract 3x from both sides so you get 4y ≥ -3x+20

then divide everything by 4 to isolate the y.

You would get y ≥ -3/4+ 5. Then just use the slope and y-intercept to graph.

If ≥ symbol is used, shade above the line.

Partial disability, according to SSS, is the whole and irreversible loss of a physical portion. An individual can still do their work to some extent despite the condition. Any loss of these body parts or senses qualifies as a partial disability for SSS benefits: only one. One-hand.

In the Philippines, the Social Security System is a government-run social insurance program for employees in the private, public, and unorganized sectors. Republic Act No. 1161, also known as the Social Security Act of 1954, is what created SSS. Later, in 1997, Republic Act No. 8282 changed this statute.

The person must have made at least 36 monthly payments before the semester of incapacity in order to be eligible for a monthly disability pension. If there are less than 36 monthly contributions, the recipient receives a lump sum payment.

"Permanent partial disablement" refers to a permanent disability that limits an employee's ability to earn money. According to the Second Schedule, partly permanent disability results;] "Permanent Total Disablement" ((15B)) refers to such a disablement. National Government Act. 0 Citations, 394 Citations.

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Answer:

m = 3/13

Step-by-step explanation:

The Slope is rise/run or (y2 - y1) / (x2 - x1)

We see the y increase by 3 and the x increase by 13, so the slope is

m = 3/13

Answer:

Step-by-step explanation:

To find the slope of the line that passes through the points (-4,5) and (9,8), we can use the formula for slope:

slope = (y2 - y1) / (x2 - x1)

= (8 - 5) / (9 - (-4))

= 3 / 13

= 0.231

Therefore, the slope of the line that passes through the points (-4,5) and (9,8) is 0.231.

The titular conjecture was most likely put forth in the 1930s by Lothar Collatz.

Odd numbers are those that cannot be evenly divided by two. It cannot be evenly split into two different integers. An odd number will leave a leftover when divided by two. 1, 3, 5, 7, and other odd numbers are instances. The idea of odd numbers is identical to that of even numbers. Odd numbers satisfy the congruence when divided by two, leaving a residue of 1. A number's parity indicates how odd it is; an odd number has parity 1, whereas an even number has parity 0.

Given

The titular conjecture was most likely put forth in the 1930s by Lothar Collatz.

The issue seems like a practical joke.

Pick any number you like. Add 1 and multiply it by 3 if it's an odd number.

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The probability it rains on both days is 0.175

From the question, we have the following parameters that can be used in our computation:

P(Rain) = 0.5

P(Rain next day) = P(Rain) - 0.15

The probability it rains on both days is then calculated as

P(Rain both days) = P(Rain next day) * P(Rain)

Substitute the known values in the above equation, so, we have the following representation

P(Rain both days) = 0.5 * (0.5 - 0.15)

Evaluate

P(Rain both days) = 0.175

Hence, the probability is 0.175

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