Which expression has the least value? A. - (-4) + 1 - (-3) + 6 B. - (-3) + 1 - 6 + (- 4) C. - (-4) + 1 - 6 + (-3) D. - (6) + 1 - (-3) + (-4)

The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

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Events A and B are considered independent if and only if the probability of their intersection (P(A ∩ B)) is equal to the product of their individual probabilities (P(A) * P(B)).

Independence: Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

Joint Probability: The joint probability P(A ∩ B) represents the probability of both events A and B occurring together.

Multiplication Rule: According to the multiplication rule for independent events, if events A and B are independent, the probability of their intersection is equal to the product of their individual probabilities.

P(A ∩ B) = P(A) * P(B)

Interpretation: If the equation holds true, events A and B are considered independent since the probability of their intersection can be determined solely by multiplying their individual probabilities.

Dependence: If the equation does not hold true, it implies that the occurrence of one event affects the probability of the other event, indicating dependence between the two events.

In summary, the multiplication rule for independent events states that events A and B are independent if and only if P(A ∩ B) = P(A) * P(B).

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Answer:

It should somewhat look like the graph below...

Hope it helps!

Its either 2/5 or 4/5

Answer: The answer is 2/5  hope i helped! Mabye brainliest? ^^

Step-by-step explanation: if you can pick more than 1, pick 2/5 and 4/5

59 is a prime number.

This means that it cannot be divided evenly by any other number except for 1 and itself. A composite number, on the other hand, can be divided evenly by at least one other number besides 1 and itself.

To determine if a number is prime or composite, you can use a simple test. Start by dividing the number by 2. If the result is a whole number, then the number is composite.

If the result is not a whole number, try dividing by 3, 4, 5, and so on until you find a whole number result or until you reach the square root of the original number. If you reach the square root without finding a whole number result, then the number is prime.

For example, with the number 59:

59 / 2 = 29.5 (not a whole number)
59 / 3 = 19.67 (not a whole number)
59 / 4 = 14.75 (not a whole number)
59 / 5 = 11.8 (not a whole number)
59 / 6 = 9.83 (not a whole number)
59 / 7 = 8.43 (not a whole number)
59 / 8 = 7.38 (not a whole number)

Since we have reached the square root of 59 without finding a whole number result, we can conclude that 59 is a prime number.

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(x+3)² = (16+x-3) (x-3)

x²+6x+9=(x+13)(x-3)

x²+6x+9=x²+10x-39

6x-10x=-39-9

-4x=-48

x = 12

=> NM = 12+3 = 15

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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Montag serves as a metaphor for free thought in Fahrenheit 451. Guy doesn't fit in with society as Beatty or Mildred do.

Although the parallels are subtle, there are some similarities between the modern world and the setting of "Harrison Bergeron" in the narrative. Egality is a topic that both of them address and that has issues and effects. Another resemblance is the conflict that results from competition and attempts to stop it from happening, both of which cause issues.

The manipulative and desensitizing impact of the mass media is one political practice in American culture that the short story "Harrison Bergeron" might be seen as an oblique indictment of. overregulation of some human actions. restricting freedom of speech

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Answer:

$ 7.00

Step-by-step explanation:

$10.75 - $3.67 = $7.08

7.08 is closest to 7

$ 7.00

Hope this helps! :)

Please mark brainiest

Answer:

Slope = -6/8

Step-by-step explanation:

(-20, -4)

(-12, -10)

Slope = (Y2 - Y1)/(X2 - X1)

Plug in the x and Y coordinates:

-10 - (-4)/-12 - (-20)

-10 + 4/-12 + 20

-6/8

Slope = -6/8

Please let me know if I'm incorrect :)

Answer:

Length: 16m

Width: 12m

Area: 192 square meters

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

Length-16m

Width-12m

Area-192m

Step-by-step explanation:

Formula- 3cm=4m

12/3=4

4x4=16

Length-16m

9/3=3

3x4=12

Width-12m

16m x 12m = 192m

Answer:

11

Step-by-step explanation:

if the two triangles are similar, that means that they are proportional to each other.

If you look at how they are shaped, they look the same, just one is smaller.

When you compare the two, you see that on triangle EFU, side EU corresponds with side VU on triangle VWU

EU = 7 and VU = 35

now divide so see what the multiplying factor is

35/7 = 5

so, when you divide the values on triangle VWU by 5, you get the values for  triangle EFU

35/5 = 7

side UW corresponds with side UF

UW = 55 and UF = ?

55/5 = 11

Side UF = 11

Answer:

29 ml

Step-by-step explanation:

Vcube = 1cm×1cm×1cm = 1 cm³

1 cm³ = 1 ml

If this cube is dropped into a 28ml of water the new reading will be 29 ml.

hope this helped :)

The break-even point in units can be calculated if the sales price per unit (P) is known. In conclusion, the break-even point in units is an essential calculation that helps companies understand their financial performance and determine the minimum level of sales they need to achieve to cover their costs and start generating a profit.

Break-even point in units = Fixed costs / (P - Variable expenses per unit)

= Fixed costs / (P - Variable expenses / Sales)

The break-even point is a crucial calculation in the field of business and finance, as it represents the level of sales at which a company's expenses and revenue are equal, and there is no profit or loss. In this scenario, Hurst Ltd's break-even point in units can be calculated based on its sales, variable expenses, and fixed costs.

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Answer:

The number of students who collected exactly 9 bottles.

Step-by-step explanation:

The given histogram shows the number of students who participated in the recyling drive & their old bottle waste collection.

We can find out the total number of students who participated just by looking at the histogram (students = 10), the number of students who colected bottles below 7 or 3 bottles etc.

But since the number of bottles is given in the form of grouped data, one cannot infer the exact number of bottles collected by students.

Hence, out of the given statements, 'The number of students who collected exactly 9 bottles' is the incorrect one.

\(\rule{150pt}{2pt}\)

The function for the garden's perimeter in terms of the width "w" would be P(w) = 4w + 24

What is the perimeter?

The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.

Let's call the width of the rectangular garden "w".

According to the problem, the length of the garden is 12 feet longer than its width. So, the length would be w + 12.

The perimeter is the sum of all four sides of the rectangular garden. So,

Perimeter = w + w + (w + 12) + (w + 12)

Simplifying this expression, we get:

Perimeter = 4w + 24

Therefore, the function for the garden's perimeter in terms of the width "w" would be P(w) = 4w + 24.

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Answer:

\(7.5\:\text{square units}\)

Step-by-step explanation:

The area of a trapezoid is given by the average of the bases multiplied by the height.

What we're given:

The average of the bases 1 and 4 is equal to \(\frac{4+1}{2}=\frac{5}{2}=2.5\)

Therefore, the area of the trapezoid is \(2.5\cdot 3=\boxed{7.5\:\text{square units}}\)

Answer:

30 units²

Step-by-step explanation:

this ones kinda tricky but basically you need to dilate it all by 2 (to make the figure twice as big)

technically, it would be 7.5 units bc but bc of the dilation it'd be 30

The statement "They are called from an instance of the class." is not true about static methods.

Static methods are class-level methods that can be accessed without creating an instance of the class. They are associated with the class itself rather than specific instances of the class.

This means that static methods can be called directly using the class name, without the need to create an object or instance of the class.

For example, if we have a class called "MathUtils" with a static method called "multiply", we can call the method as:

MathUtils.multiply(5, 10);

We don't need to create an instance of the MathUtils class before calling the multiply method.

Static methods are defined by placing the keyword "static" after the access specifier (e.g., public, private) in the method header. This keyword indicates that the method belongs to the class and can be accessed without creating an instance.

In summary, static methods are not associated with instances of the class and can be accessed directly through the class name. They are not called from an instance of the class.

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Hello!

Part (A)

\(\text{Mean} = \dfrac{\text{sum of all salaries}}{\text{number of workers}} =\dfrac{13500 + 27500+13750 + 79000+ 19250 + 29000+21000}{7} \\\\\text{Mean}= 29000 \text{ dollars}\)

Part (B)

 ==> The mean of other six worker's salary

  \(\text{Mean}= \dfrac{\text{sum of the 6 worker's salary}}{\text{number of workers} }=\dfrac{13500+27500+13750+19250+29000 + 21000}{6} \\\\ \text{Mean}= \dfrac{124000}{6}=20,666.67 \text{ dollars}\)

Hope that helps!

There is only 1 way to select a computational maths module, discrete maths module, and computer security module from the given 6 modules.

In the given scenario, we need to select a computational maths module, a discrete maths module, and a computer security module from a total of 6 modules.

To find the number of different ways, we can use the concept of combinations.
The number of ways to select the computational maths module is 1, as we need to choose only 1 module from the available options.
Similarly, the number of ways to select the discrete maths module is also 1.
For the computer security module, we again have 1 option to choose from.
To find the total number of ways, we multiply the number of options for each module:

1 × 1 × 1 = 1.
Therefore, there is only one way to select a computational maths module, discrete maths module, and computer security module from the given 6 modules.

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Answer:

x<3

Step-by-step explanation:

3x+5<14

Your first step is to simplify the inequality.

To do this, always look to see if you can subtract any numbers from both sides to isolate a variable.

You can subtract 5 from both sides to isolate the 3x on one side.

After that, you will get 3x<9

Next, you must divide both sides by 3 to try and get x by itself, completing the inequality.

9/3 = 3

Your are left with: x<3

Done!

Answer:

x < 3

Step-by-step explanation:

3x + 5 < 14  subtract 5 from both sides

3x + 5 - 5 < 14 - 5

3x < 9  Divide both sides by 3

\(\frac{3x}{3}\) < \(\frac{9}{3}\)

x < 3

The factors of the given expression are 2av² and (2av³-9).

The given expression is 4a²v⁵-18av².

The factors are the polynomials which are multiplied to produce the original polynomial.

2av²(2av³-9)

Therefore, the factors of the given expression are 2av² and (2av³-9).

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Answer:

B

Step-by-step explanation:

The measure of angle x and y in the cyclic quadrilateral are 93 and 59 degrees.

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. The sum of angles in a cyclic quadrilateral is 360 degrees.

The opposite angles in a cyclic quadrilateral add up to 180°. The opposite angles of a cyclic quadrilateral are supplementary.

Therefore, let's find the measure of x and y in the cyclic quadrilateral.

Hence,

x + 87 = 180

x = 180 - 87

x = 93 degrees

y + 121 = 180

y = 180 - 121

y = 59 degrees

Therefore,

x = 93°

y = 59°

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Answer:

the amount of cupcakes

Step-by-step explanation:

you said the amount of cupcakes can be represented by

Answer: 12.5

Step-by-step explanation:

12.5 is the length of BC.

Here, we have,

given that,

In the diagram shown below, AC is tangent to circle o at A and to circle Pat C, OP intersects AC at B, OA = 5, AB = 5, and PC = 10.

now, we know that,

∠OAB and  ∠BCP are right angles, because of the tangents.

and, ∠OBA ≅ ∠CBP (vertical angles)

thus, we get,

ΔAOB ≅ ΔCBP, by AA rule.

so, we can set up the proportion:

10/4 = x/5

or, x = 12.5

Hence, 12.5 is the length of BC.

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