Classify triangle ABC by its sides. Then determine whether it is a right triangle.
A (3, 3), B(6, 9), C (6,-3)
I

Answer: Options 2 and 4

Step-by-step explanation:

Option 1: The angles add to \(180^{\circ}\), so the angles can form a triangle. However, because there are no side lengths, the triangle is only defined up to similarity.

Option 2: The angles do not add to \(180^{\circ}\), so a triangle cannot be formed.

Option 3: The side lengths do not satisfy the triangle inequality, so a triangle cannot be formed.

Option 4: It is not specified what side the \(75^{\circ}\) is opposite of, so multiple triangles can be formed.

A multithreaded sorting program can be designed by dividing a list of integers into two smaller lists of equal size. Two separate threads, called sorting threads, can then be used to sort each sublist using a sorting algorithm of your choice.

To implement this algorithm, you first need to create two threads and pass them the two sublists to be sorted. You can use a popular sorting algorithm such as Quicksort or Mergesort to sort these sublists. Once each thread has completed its sorting task, the sorted sublists can be merged back into a single sorted list.
To ensure that the threads work in parallel, you can use synchronization mechanisms such as mutexes and semaphores. These synchronization tools will ensure that the two threads do not interfere with each other's tasks and that the sorting is done concurrently.
In conclusion, a multithreaded sorting program that sorts a list of integers can be designed using two sorting threads. By dividing the list into two sublists and sorting them using a popular algorithm, the program can sort a large number of integers in a shorter amount of time. It is important to use synchronization mechanisms to ensure that the threads work concurrently and do not interfere with each other's tasks.

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Answer:

6120

Step-by-step explanation:

i)

15/100 × 7200

=1080 ( the amount of discount based on the marked prize )

ii) 7200-1080=6120

Answer:

Jada because if you add 4 to 15 you get 19 not 22 so he would be 3 meter behind

Step-by-step explanation:

Answer:

I could but can you please put down the problem.

Step-by-step explanation:

The absolute maximum and minimum values of the function f(x, y) = x^2 + y^2 - 2y on the set R = {(x, y): x^2 + y^2 ≤ 9} can be found by analyzing the critical points and the boundary of the region R.

To find the critical points, we take the partial derivatives of f(x, y) with respect to x and y, and set them equal to zero. Solving these equations, we find that the critical point occurs at (0, 1).

Next, we evaluate the function f(x, y) at the boundary of the region R, which is the circle with radius 3 centered at the origin. This means that we need to find the maximum and minimum values of f(x, y) when x^2 + y^2 = 9. By substituting y = 9 - x^2 into the function, we obtain f(x) = x^2 + (9 - x^2) - 2(9 - x^2) = 18 - 3x^2.

Now, we can find the maximum and minimum values of f(x) by considering the critical points, which occur at x = -√2 and x = √2. Evaluating f(x) at these points, we get f(-√2) = 18 - 3(-√2)^2 = 18 - 6 = 12 and f(√2) = 18 - 3(√2)^2 = 18 - 6 = 12.

Therefore, the absolute maximum value of f(x, y) is 12, which occurs at (0, 1), and the absolute minimum value is also 12, which occurs at the points (-√2, 2) and (√2, 2).

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Answer(Trả lời):

Xin lỗi nếu tôi sai (sorry if I got it wrong)

Step-by-step explanation(Giải thích):

x-intercept(s):

( √ 3.79128784 , 0 ) , ( − √ 3.79128784 , 0 )  

y-intercept(s):  

( 0 , − 3 )

NOT a parabola (Không phải parabol)

Answer:

No

Step-by-step explanation:

30% is the same as 3/10

3/7 is about the same as 43%  

There is a difference among the percentage so no it's not correct

Yes, the value 30% of 70 is the same as 3/7 of 70.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

To show this mathematically, we can start by calculating 30% of 70:

30% of 70 = (30/100) x 70

= 0.3 x 70

= 21

Now, let's calculate 3/7 of 70:

3/7 of 70 = (3/7) x 70

= 30/100 x 70

= 0.3 x 70

= 21

As we can see, both calculations give us the same result of 21. Therefore, 30% of 70 is the same as 3/7 of 70.

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To solve the system of equations:

4x^2 + 9y^2 = 72

x^2 - y^2 = 5

We can use the method of substitution. Let's solve the second equation for x^2:

x^2 = y^2 + 5

Now substitute x^2 in the first equation:

4(y^2 + 5) + 9y^2 = 72

4y^2 + 20 + 9y^2 = 72

13y^2 + 20 = 72

13y^2 = 52

y^2 = 4

y = ±2

Substituting y = 2 into x^2 = y^2 + 5, we get:

x^2 = 2^2 + 5

x^2 = 9

x = ±3

Therefore, the solutions to the system of equations are:

(x, y) = (-3, 2), (-3, -2), (3, 2), (3, -2)

Listing the solutions with the smallest x-values and then the smallest y-value first, we have:

(-3, -2), (-3, 2), (3, -2), (3, 2)

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For the given tables, we have that:

a. The grids are given at the end of the answer.

b. The functions are classified as follows: f(x) exponential, g(x) linear.

c. When x increases by one unit from left to right, we have that:

d. The functions are equal for a value between 1 and 2, as at x = 1 g(x) is greater while at x = 2 f(x) is greater.

The difference between exponential and linear functions is in the rate of change, as:

Hence the functions are classified as follows:

We have one exponential and one linear function, so it is quite difficult to solve an equation to verify where they are equal. We have that:

This means that at one point between x = 1 and x = 2, they intersected, that is, they had the same function values.

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The peaks you would expect for the distribution described is A) None.

We would not expect any peaks in the distribution of numbers of people with birthdays in a particular month. This is because birthdays are evenly distributed throughout the year, and there is no reason to expect more people to be born in one month than another. Therefore, the distribution should be relatively flat, with no peaks or valleys.

To visualize this, imagine a histogram with the months on the x-axis and the number of people with birthdays in that month on the y-axis. Each bar should be roughly the same height, indicating that there are no peaks in the distribution.

In conclusion, we would expect no peaks in the distribution of numbers of people with birthdays in a particular month.

Hence Option A is correct.

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Answer:

Step-by-step explanation:

Find 5% of £16855.21 by 3.5%

5%=842.7605

1%=168.5521

0.5%=84.27605

168.5521+168.5521+168.5521+84.27605=

£16855.21-589.93235 =16265.27765

16265.28 is the answer rounded to 2dp

Given:

The units sold follows the equation

\(U = 10000-2000P\)

To find:

An equation for sales as a function of price.​

Solution:

Let S represents the sales function.

We know that, the money from sales is equal to the units sold times the price P of the unit.

\(S=U\times P\)

\(S=(10000-2000P)\times P\)

Using distributive property, we get

\(S=10000P-2000P^2\)

Therefore, the equation for sales as a function of price is \(S=10000P-2000P^2\).

Answer:

-14

Step-by-step explanation:

5-y=19

collect all the like terms on one side

-y=19-5

when 5 moves over the the other side of the equation it becomes a negative

-y=14

divide both sides by a negative sign

y=-14

The length of the missing  sides of the triangles are as follows:

DE = 12, DF = 12√2, FG = 12√2 and DG = 24.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

ΔDEF is a right angle triangle. We can use Pythagoras theorem to find the sides of the triangle.

c² = a² + b²

where

c = hypotenuse side = DE = 12

a and b are the other 2 legs

lets use trigonometric ratio to find DE ,

tan 45 = Perpendicular / adjacent

tan 45 = DE / 12

DE = 1 × 12

DE = 12

12² +  12² = DF²

DF² = 288

DF = √288 = 12√2

Triangle DFG

DFG is a right angle triangle too. Therefore,

Using trigonometric ratio,

tan 45 = DF / FG

1 = DF / FG

FG = 12√2

(12√2)² +  (12√2)²= DG²

DG = 24

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False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

32 chairs

Step-by-step explanation:

In the soft Boulder cafe they a chairs , table and customers and the 3 members staffs.

Each Table = 3 legs

Each Chairs = 4 legs

Each customer  = 2 legs

Each members of staffs = 2 legs

4 chairs goes with each table. This means 4 × 4 = 16 legs of chairs for each 3 legs of table.

At a certain time 3/4 of the chairs are occupied by customers. That is 3 out of 4 chairs are occupied plus 6 tables . Therefore,

3 + 16 + 6 = 25 legs of table

206 legs altogether - the 6 legs of the staff(3 staffs has 6 legs)= 200 legs

This means 200 legs = 8 tables. Therefore,

8 tables requires 32 chairs

\(\huge\text{Hey there!}\)

\(\large\text{PROPERTIES of MATH (of addition)}}\\\\\large\bullet\boxed{\mathsf{\ Commutative \ property: \boxed{\bf x + y = y + x}}}\\\bullet\boxed{\mathsf{\ Identity\ property: \boxed{\bf x + y = x}}}\\\bullet\boxed{\ \mathsf{Associative\ property: \boxed{\bf (x + y) + z = z + (x + y)}}}\\\bullet\boxed{\ \mathsf{Distributive\ property: \boxed{\bf x(y + z) = x\times y + x\times z}}}\)

\(\large\boxed{\mathsf{(10 + 1) + 9 = 10 + (1 + 9)}}\\\\\\\large\boxed{\mathsf{(10 + 1) + 9}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\large\boxed{\mathsf{10 + (1 + 9)}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\\\\\huge\boxed{\mathsf{20 = 20}}\huge\checkmark\)

\(\huge\boxed{\mathsf{Based\ on\ the\ information\ we \ have\ above\ your}}\\\huge\boxed{\mathsf{answer \ is: \underline{\underline{\bf Associative \ Property}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

1400

Step-by-step explanation:

10² is 100 so 100*14 is 1400

The trapezoidal rule uses trapezoidal approximations to approximate the definite integral, whereas the midpoint rule uses rectangular regions to do so. By first approximating the original function with piecewise quadratic functions, Simpson's rule approximates the definite integral.

Since

"frac" (1-x) = (1-x)-1 = 1+x2+x3+x4+.... = "sum_n=0" infty" xn "hspace"

5mm for "left | x | 1"

How can a power-based integral be evaluated?

Power Rule for Integrals To apply this rule, simply add one to the exponent.The expression is then divided by the same number.The constant C is added in the final step. Now, we will solve some problems to determine the integrals of polynomials and root functions.

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The two games are different as Honduran futbolito is typically played on a small, concrete court.

Honduran futbolito and foosball in the United States are both games that mimic soccer, but they have some key differences. Honduran futbolito is typically played on a small, concrete court with walls that the ball can be played off of.

The game is usually played with a smaller, harder ball than a standard soccer ball. Foosball, on the other hand, is played on a table with miniature figures mounted on rods that players use to strike the ball. The game is usually played with a small, lightweight ball. Both games can be played with teams or individually, but Foosball is more common as a table-top game, while Futbolito is a street game.

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The value of result in the following expression will be 0 if x has the value of 12:

result = x > 100 ? 0 : 1.

The expression given is known as a ternary operator.

It's a short form of if-else.

The ternary operator is written with three arguments separated by a question mark and a colon:

`variable = (condition) ? value_if_true : value_if_false`.

Here, `result = x > 100 ? 0 : 1;` is a ternary operator, and its meaning is the same as below if-else block.if (x > 100)  {  result = 0; }  else {  result = 1; }

As per the question, we know that if the value of `x` is `12`, then the value of `result` will be `0`.

Hence, the answer is `0`.

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In this modified version of the ackermann function, we first check whether the value of (m, n) has already been computed and stored in the association list al. If it has, we simply return the stored value. Otherwise, we compute the value using the original definition of the Ackermann function, and store it in al using the bind function.

The Ackermann function is a recursive function that takes two non-negative integers as input and returns a non-negative integer as output. It is defined as follows:

(define (ackermann m n)

 (cond ((= m 0) (+ n 1))

       ((= n 0) (ackermann (- m 1) 1))

       (else (ackermann (- m 1) (ackermann m (- n 1))))))

The bind and lookup functions for association lists can be defined as follows:

(define (bind k v al)

 (cons (cons k v) al))

(define (lookup k al)

 (cond ((null? al) #f)

       ((equal? k (caar al)) (cadar al))

       (else (lookup k (cdr al))))).

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The ackermann function is a recursive version of Ackermann. Takes parameters m and n to recursively calculate result – if m is 0, add 1 to n. If n=0, use recursion to call ackermann with m-1 and n=1. Recursively call Ackermann with m-1 and n-1.

The Ackermann function is a mathematical concept that is defined and explained on the Wolfram MathWorld website.

The Ackermann function is a clear instance of a computable total function that is not primitive recursive, serving as evidence against the widespread idea in the early 1900s that all computable functions were necessarily primitive recursive.

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see other part below

Define a global variable al for the association list used in ackermann mem. (define al '() n . Finally, define ackermann mem. When given n and n, it checks whether there is an entry for key (m n) in al; note this asso- ciation list maps a pair (n n) to the result of (ackermann n n). If there is, it returns the value in the entry; if not, it invokes (ackermann nn), adds the entry ((n n) (ackermann n n) to the association list, and returns (ackermann nn). Notes: – To distinguish the two cases in ackermann mem, add the fol- lowing display command for the case when the input (m n) is in the current association list. It displays the string on screen. (display 'memoization hit \n'') – To add an entry to al, you will have to use set! to modify the global variable al. This has the side effect of modifying al so that it is visible to the next invocation of ackermann mem. - You will also need to use the sequencing construct in Racket. In particular, (begin en e2) evaluates el (which usually has some side effect) and then evaluates e2; the value of e2 becomes the value of (begin el e2). For example, (begin (display ''memoization hit \n'') (+ 1 2)) The example displays the message and returns 3.

Answer:

Part A: I think only think that the scale factor of dialation is 1/7. The original triangle is reflected by the x-axis by 14 units. The triangle P'Q'R' is a total of 2 blocks up.

Part B: I really do not know this I am very sorry. :_(

Part C: No they are not congruent, the triangle PQR is bigger. In order for a shape to be congruent it must be the same size and have the same vertices.

Step-by-step explanation:

Answer

a. 40:35

Step-by-step explanation:

8 * 5 is 40 and 7 * 5 is

Answer:

\(\huge\boxed{B. [1,2,3,........]}\)

Step-by-step explanation:

\(9x - 4 < 13 x - 7\)

Combining like terms

=> \(-4 + 7 < 13x-9x\)

=> \(3 < 4x\)

Dividing both sides by 4

=> \(x > \frac{3}{4}\)

=> \(x > 0.75\)

This means that x can be any number that is greater than 0.75

So, The solution set = [1,2,3,........]

The standard deviation is relatively small when the data are all concentrated close to the mean, exhibiting little variation or spread.

The standard deviation could be a degree of the changeability or spread of a set of information. It is calculated by finding the square root of the normal of the squared contrasts between each information point and the cruel(mean).

In other words, it tells us how much the information values are scattered around the mean.

When the information is all concentrated near the cruel(mean), it implies that the contrasts between each information point and the cruel are moderately little.

This comes about in a little while of squared contrasts, which in turn leads to a little standard deviation. On the other hand, when the information is more spread out, it implies that the contrasts between each information point and the cruel are bigger.

This comes about in a bigger entirety of squared contrasts, which in turn leads to a bigger standard deviation.

For case, let's consider two sets of information:

Set A and Set B.

Set A:

2, 3, 4, 5, 6

Set B:

1, 3, 5, 7, 9

Both sets have the same cruel(mean) (4.0), but Set A encompasses a littler standard deviation (1.4) than Set B (2.8).

This is because the information values in Set A are all moderately near to the cruel(mean), while the information values in Set B are more spread out.

Subsequently, we will say that the standard deviation is generally small when the information is all concentrated near the mean, showing a small variety or spread.

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