the masses mi are located at the points pi. find the moments mx and my and center of mass of the system. m1=1, m2=5, m3=3. p1=(−4,9), p2=(−3,−2), p3=(9,8). mx = my = x¯ = y¯ =

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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The given citation is a reference to a research paper titled "Progressive Strategies for Monte-Carlo Tree Search" by Chaslot, G., Winands, M., Herik, H., Uiterwijk, J., and Bouzy, B.

The paper was published in the journal "New Mathematics and Natural Computation" in November 2008.

Here are the details of the citation:

Authors: G. Chaslot, M. Winands, H. Herik, J. Uiterwijk, and B. Bouzy

Title: Progressive Strategies for Monte-Carlo Tree Search

Journal:

Year: 2008

Volume: 04

Pages: 343–357

DOI: 10.1142/s1793005708001094

The DOI (Digital Object Identifier) provided is a unique identifier for the paper and can be used to access the paper online, usually through a database or publisher's website.

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Answer:

x = 2

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

Answer:

1 1/2 pint

Step-by-step explanation:

2 cups for pint.

2 times 4 is 8.

8-5=3

3/2=1 1/2

Answer:

3 cups

Step-by-step explanation:

because 1 pint is equal to 2 cups. so if she used 5 cups she will have 3 cups left.

Answer:

The height of the cylinder is 10 cm.

Step-by-step explanation:

1. The volume of a cylinder is given by

-V = pi r^2 h  where r is the radius and h is the height

- 90 pi = pi r^2 h

2. We know the radius is 3

-90 pi = pi (3)^2 h

-90 pi = 9 pi h

3. Divide each side by 9 pi

- 90 pi /9 pi = 9 pi h / 9pi

- 10 =h

The height of the cylinder is 10 cm.

Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

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The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

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Answer:

total outcomes= 8

green = 3

probability to get green = 3/8 = 0.375

The expression that is the possible leading term for the function graphed is given as follows:

(positive number)x^(odd exponent).

For the end behavior of the graph of f(x) = -x^5 + 9x^4 = 18x³, we have that:

As x -> -∞, f(x) -> ∞, and as x -> ∞, f(x) -> -∞.

The end behavior of a function is given by the limit of the function is the input x goes to either negative infinity or positive infinity.

Hence, for a polynomial, we must consider the leading term of the polynomial.

For the graph, we have that:

Meaning that the function must have an odd exponent with a positive leading coefficient.

For the function of the 5th degree with negative leading exponent, we have that:

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Answer:

Volume of tennis ball = 11.49 inch³

Step-by-step explanation:

Given:

Radius of tennis ball = 1.4 inches

Value of π = 3.14

Find:

Volume of tennis ball

Computation:

Volume of sphere = [4/3][π][r]³

Volume of tennis ball = [4/3][π][Radius of tennis ball]³

Volume of tennis ball = [4/3][3.14][1.4]³

Volume of tennis ball = [1.333][3.14][1.4]³

Volume of tennis ball = [1.333][3.14][2.744]

Volume of tennis ball = [4.1856][2.744]

Volume of tennis ball = 11.4852

Volume of tennis ball = 11.49 inch³

Answer:

{(5,0),(0,5),(-5,-5)}

Step-by-step explanation:

Answer:

this is a nonlinear function

Step-by-step explanation:

a linear function is when the y value increases the same amount every time the x value increases by 1(or any constant interval). in this problem when x increases 1, they y value increases by 2 for the first 3 sets of numbers, but in the 4th set of numbers the x value increases by 1 and the y value increases by 2. This does not follow the same pattern and therefore makes this nonlinear. A quicker way to figure this out when you have a graph like this is to draw a line through all the points in order of increasing x values or vice versa if the line you drew is straight all the way through then it is linear and if it isn't then it is nonlinear. I hope this helped.

Answer:

4/9

Step-by-step explanation:

5-1/5+4 is the right answer so yes

Answer:

Kia is incorrect because the only factor of 1 is 1.

Step-by-step explanation:

Answer:

previous speed of the aeroplane is 500 km/hr

Step-by-step explanation:

Given: Distance covered by  aeroplane = 1500 km

It covers the same distance in a time which is half an hour less than the previous time if the speed is increased by 100 km/hr

To find: previous speed of the aeroplane

Solution:

Let x denotes the previous speed of the aeroplane.

Time taken by an aeroplane if speed is x km/hr = distance/speed = \(\frac{1500}{x}\) hours

If speed is increased by 100 km/hr, new speed = (x + 100) km/hr

Time taken by an aeroplane if speed is (x + 100) km/hr = \(\frac{1500}{x+100}\) hours

According to question,

\(\frac{1500}{x+100}=\frac{1500}{x}-\frac{1}{2}\\ \frac{1500}{x}-\frac{1500}{x+100}=\frac{1}{2} \\\frac{1}{x}-\frac{1}{x+100}=\frac{1}{3000}\\ \frac{x+100-x}{x(x+100)}=\frac{1}{3000}\\ x^2+100x=300000\\x^2+100x-300000=0\\\)

\(x^2+600x-500x-300000=0\\x(x+600)-500(x+600)=0\\(x-500)(x+600)=0\\x=500\,,\,-600\)

As speed can not be negative, \(x=-600\) is rejected.

So,

previous speed of the aeroplane is 500 km/hr

We will see that the probabilities are:

P(yellow, then red) = 0.1

P(blue, then green) = 0.03

P(both red) = 0.06

Here, we have,

First, the probability of getting a particular color of marker is given by the quotient between the number of markers of that color and the total number of markers

There are:

9 red markers.

5 blue markers.

14 yellow markers

8 green markers.

For a total of: 9 + 5 + 14 + 8 = 36.

a) P(yellow, then red)

First, the probability of getting a yellow marker is:

p = 14/36.

Then the probability of getting a red marker (notice that now there are 35 markers in total) is:

q = 9/35.

Then the joint probability is:

P(yellow, then red) = p*q = ( 14/36)*(9/35) = 0.1

b) P(blue, then green)

First, the probability of getting a blue marker is:

p = 5/36.

After, the probability of getting a green marker is:

q = 8/35.

So the joint probability is:

P(blue, then green) = (5/36)*(8/35) = 0.03

c) P(both red).

First, the probability of getting a red marker is:

p = 9/36

Now there are 8 red markers and 35 markers in total, so the probability of getting another red marker is:

q = 8/35

The joint probability is:

P(both red) = (9/36)*(8/35) = 0.06

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complete question:

There are 9 red markers, 5 blue markers, 14 yellow markers, and 8 green markers in a pencil box. A marker is chosen at random, replaced, then another is chosen. Find each probability.

P(yellow, then red)

P(blue, then green)

P(both red)

Answer:

-3+6y = 9x

6y = 9x+3

y = 9/6x+3/6

y = 3/2x+1/2   ⇒ slope-intercept form

The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.

Box A: The plot that matches Box A is a thrilling mystery. The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.

As the detective investigates, they discover that the tickets with the number "1" are linked to a notorious gang involved in illegal activities. The tickets labeled "2" lead the detective to a secret society that uses the tickets for initiation rituals.

The plot unfolds as the detective races against time to unravel the connections between the tickets and bring the culprits to justice.

Box B: The plot that matches Box B is a heartwarming tale of friendship and adventure. The protagonist, a young child, finds one of the tickets labeled "3" and realizes it grants them access to a magical world. In this world, they meet a group of unique and colorful characters who also possess tickets labeled "5."

Together, they embark on a journey to restore harmony to their realm, battling against an evil force that seeks to exploit the power of the tickets. Through their shared experiences, the group learns valuable lessons about courage, loyalty, and the true meaning of friendship.

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The retail price of each item in a certain store consists of the cost of the item, a profit that is 10 percent of the cost, and an overhead that is 30 percent of the cost. The cost of the item in the store is $15.

Let's denote the cost of the item as x. According to the given information, the profit on the item is 10% of the cost, which is 0.10x, and the overhead is 30% of the cost, which is 0.30x. The retail price of the item is the sum of the cost, profit, and overhead, which is x + 0.10x + 0.30x = 1.40x. Given that the retail price of the item is $21, we can set up the equation 1.40x = 21 and solve for x: 1.40x = 21, x = 21/1.40, x ≈ $15. Therefore, the cost of the item is $15.

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In linear equation, 3437.5  feet - lbs is the work done to haul the anchor .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Anchor  weighing = 100 lbs

   given 3  lb/ft

  the combined weight  = 3( 25 -y ) + 100

                                 = 175 - 3y

    the workdone on small solution is = (175 - 3y)Δy

                      w = ∫₀²⁵ (175 - 3y) dy

                        = 175[y]²⁵₀- 3/2[y²]²⁵₀

                       = 175 [ 25 - 0 ] - 3/2 [ 25²- 0²]

                       = 3437.5  feet - lbs

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a) The average rate of change over the interval [−2,2] is 4.

b) The instantaneous rates of change at the endpoints of the interval are the same (12), but they are not equal to the average rate of change over the interval (4).

A) To find the average rate of change of g(x) over the interval [-2,2], we need to calculate the slope of the line passing through the points (-2,g(-2)) and (2,g(2)).

g(-2) = (-2)³ - 6 = -8 - 6 = -14

g(2) = (2)³ - 6 = 8 - 6 = 2

Therefore, the slope of the line passing through these two points is:

(g(2) - g(-2))/(2 - (-2)) = (2 - (-14))/(2 - (-2)) = 16/4 = 4

B) To compare this rate with the instantaneous rates of change at the endpoints of the interval, we need to find the derivative of g(x):

g'(x) = 3x²

At x=-2, the instantaneous rate of change of g(x) is:

g'(-2) = 3(-2)² = 12

At x=2, the instantaneous rate of change of g(x) is:

g'(2) = 3(2)² = 12

We can see that the instantaneous rates of change at the endpoints of the interval are the same (12), but they are not equal to the average rate of change over the interval (4). This is because the function g(x) is not a straight line and its rate of change varies across the interval.

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The characteristics I notice in top 3 mobile banking vs. online banking. is that:

They are:

The top 3 banking activities done via online banking are:

Therefore, the characteristics I notice in top 3 mobile banking vs. online banking. is that:

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His/her lowered score was most likely due to statistical regression.

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

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Answer:

(x + 1)² = 1 - 4a

Step-by-step explanation:

\(\frac{x+a}{x}\) + \(\frac{x-2}{4}\) = 0

multiply through by 4x ( the LCM of x and 4 ) to clear the fractions

4(x + a) + x(x - 2) = 0

4x + 4a + x² - 2x = 0

x² + 2x + 4a = 0 ( subtract 4a from both sides )

x² + 2x = - 4a

using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(1)x + 1 = - 4a + 1

(x + 1)² = 1 - 4a

with p = 1 and q = 1 - 4a

No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.

They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.

They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.

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Answer:

1/4

Step-by-step explanation:

Create a chart 18 over 72 and x over 100

Now we multiply 18 by 100 to get 1800

We take that 1800 and divide it by 72 to get 25/100

We can simplify this to 1/4