PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP NEED ANSWER NOW!!!!!!!!!!!!!!!!!
solve each linear system by GRAPHING. CHECK YOUR ANSWER
2.) x - y = 6
2x = 12 + 2y

3.)1/2 x - y = 4
2y = x + 6

Number 1 is Given.

Number 2 is the corresponding parts theorem

AB and CB are similar

also EB and DB

Number 3 is SSA similarly theorem

How to explain the triangle

SSA similarity theorem states that two triangles are similar if two angles of one triangle are congruent to two angles of another triangle, and the included side in one triangle is proportional to the included side in the other triangle.

In this case, the two congruent angles are ∠EAB and ∠ECB. The included side in triangle EAB is AB, and the included side in triangle ECB is CB. Since AB and CB are proportional, and ∠EAB and ∠ECB are congruent, we can say that triangles EAB and ECB are similar

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To prove the statement that 3 divides (n³ + 5n + 6) for any integer n ≥ 20 using mathematical induction, we will show that the statement holds for the base case (n = 20) and then assume it holds for an arbitrary value of n and prove it for (n + 1).

Base case (n = 20):

Substitute n = 20 into the expression (n³ + 5n + 6):

(20³ + 5 * 20 + 6) = 9266

Since 9266 is divisible by 3 (9266 = 3 * 3088), the statement holds for the base case.

Inductive step:

Assume that the statement holds for an arbitrary value of n, denoted as k, i.e., 3 divides (k³ + 5k + 6).

Now we need to prove that the statement holds for (k + 1), i.e., 3 divides ((k + 1)³ + 5(k + 1) + 6).

Expand the expression ((k + 1)³ + 5(k + 1) + 6):

(k³ + 3k² + 3k + 1 + 5k + 5 + 6) = (k³ + 5k + 6) + (3k² + 3k + 6)

By the induction hypothesis, we know that (k³ + 5k + 6) is divisible by 3. Now we need to show that (3k² + 3k + 6) is also divisible by 3.

Factoring out 3 from (3k² + 3k + 6), we get: 3(k² + k + 2).

Since k² + k + 2 is an integer, we conclude that (3k² + 3k + 6) is divisible by 3.

Therefore, the statement holds for (k + 1).

By the principle of mathematical induction, we have shown that the statement "3 divides (n³ + 5n + 6)" holds for any integer n ≥ 20.

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The probability of the event A' (not A) or the complement of event A, which represents a disk not having high shock resistance, is 7/50.

To calculate this probability, we need to find the number of disks that do not have high shock resistance. From the given data, we can see that there are a total of 159 disks. Out of these, 70 disks have high shock resistance (event A), so the number of disks without high shock resistance is 159 - 70 = 89.

Therefore, the probability of A' is 89/159, which simplifies to 7/50.

In terms of interpretation, this probability represents the likelihood of randomly selecting a disk that does not have high shock resistance from the given sample of 159 disks. It indicates the proportion of disks that do not meet the criteria for high shock resistance.

It's worth noting that the calculation of P(A' U B) (the probability of either A' or B occurring) was not provided. If you provide the necessary information, I can assist you in calculating that probability as well.

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Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study.

The experimental design is the framework of any scientific experiment that outlines the different steps that will be used to conduct the research. In psychology, experiments typically involve comparing two or more groups of participants that have been assigned to different experimental conditions.Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study. If participants were allowed to choose their own group, there is a high likelihood of self-selection bias.

This is a type of bias that occurs when participants are allowed to choose their own groups. In most cases, the participants choose groups that they feel are more beneficial to them. This means that the results of the experiment may be biased towards the preferences of the participants. Random allocation of participants to different groups ensures that any differences between the groups are not due to differences in the participants' characteristics and are due to the independent variable.

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If the engineers are planning a car design in which only 25 of adults fit , then this sitting height is 38.68 inches .

To find the sitting height for the tallest 2% of adults, we first find z-score for upper 2% of standard Normal Distribution ;

we know ; that z = (x - μ)/σ ;

where z is = z core, x is = sitting height , μ is = mean sitting height, and

σ is = standard deviation of sitting heights.

From the normal table : Upper 2% of standard normal distribution have a z-score of approximately 2.05 ;

So , 2.05 = (x - 35.4)/1.6 ;

Multiplying both sides by 1.6, we get ;

⇒ 3.28 = x - 35.4

On adding 35.4 to both sides, we get:

⇒ x = 38.68 ;

Therefore, the sitting height for the tallest 2% of adults is 38.68 inches .

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Answer:

this number is rational because you can write it as a fraction 19/100

Answer:

Each of them will have 0.8 kg of the candy.

Step-by-step explanation:

Don't have one sorry!

After answering the presented question, we can conclude that As a fraction: \(\frac{g + 8}{h}\\\)

what is a fraction?

In mathematics, a fraction is a number that represents a component of a whole or a ratio between two things. It is shown as a top number (numerator) divided by a horizontal line, also known as a vinculum, over a bottom number (denominator). For example, the fraction 3/4 indicates three-quarters of a whole divided into four equal parts. A fraction can be expressed using proper fractions, improper fractions, or mixed integers. An appropriate fraction is one with a numerator less than the denominator, such as 2/5.

Using the division symbol:

(g + 8) / h

Hence, After answering the presented question, we can conclude that As a fraction: \(\frac{g + 8}{h}\\\).

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The complete question:

Write the expression in two ways: using the division symbol and as a fraction. Type your answers in the boxes below. The numerator of the quantity is g plus 8 and the denominator is h.

Answer:

The 6th degree polynomial is \(p(x) = (x-1)^3(x-4)^2(x+3)\)

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots \(x_{1}, x_{2}, x_{n}\) such that it can be written as: \(a(x - x_{1})*(x - x_{2})*...*(x-x_n)\), in which a is the leading coefficient.

Zero 1 with multiplicity 3.

So

\(p(x) = (x-1)^3\)

Zero 4 with multiplicity 2.

Considering also the zero 1 with multiplicity 3.

\(p(x) = (x-1)^3(x-4)^2\)

Zero -3 with multiplicity 1:

Considering the previous zeros:

\(p(x) = (x-1)^3(x-4)^2(x-(-3)) = (x-1)^3(x-4)^2(x+3)\)

Degree is the multiplication of the multiplicities of the zeros. So

3*2*1 = 6

The 6th degree polynomial is \(p(x) = (x-1)^3(x-4)^2(x+3)\)

Answer:

33 miles did the car travel on each gallon of gas

Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

The equation of the quadratic function that has the given information can be written in Standard Form as y = x^2 - 4x + 2.

To find the equation, we can use the given x-intercepts and y-intercept. The x-intercepts are the points where the graph of the function crosses the x-axis, and the y-intercept is the point where the graph crosses the y-axis.

The x-intercepts are given as (-3,0) and (-2,0), which means that the factors of the quadratic function are (x+3) and (x+2). Multiplying these factors gives us the quadratic function in Standard Form:

y = (x+3)(x+2)

y = x^2 + 2x + 3x + 6

y = x^2 + 5x + 6

The y-intercept is given as (0,2), which means that the constant term of the quadratic function is 2. To find the coefficient of the x term, we can use the point (1,6), which is also given:

6 = 1^2 + 5(1) + 6

6 = 1 + 5 + 6

6 = 12

Therefore, the coefficient of the x term is -4, and the equation of the quadratic function in Standard Form is:

y = x^2 - 4x + 2

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Answer:6

Step-by-step explanation: each corner is a start for each angle so if you count each corner you have 6=6 angles

In the square pyramid below, line segment AB is parallel to line segment CD.

In Mathematics, a line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points. Additionally, a line segment typically has a fixed length.

In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

Based on the square pyramid shown in the image above, we can reasonably infer and logically deduce that both line segment AB is and line segment CD forms parallel lines because they are equal distance apart and can never meet.

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According to the output analysis, the model presented above is of Discrete-event simulation (DES) type.

What is Discrete-event simulation (DES)?

Discrete-event simulation (DES) is indeed a type of computer-based simulation where events occur at specific points in time. In DES, a system's behavior is modeled by specifying the sequence of events that occur during the system's lifespan.

In a discrete-event simulation, the state of the system changes only when events occur, rather than continuously evolving over time. Events represent significant occurrences or activities within the system, such as customer arrivals, service completions, or resource allocations. Each event is associated with a specific time or occurrence point, and the simulation progresses by processing events in chronological order.

DES is particularly useful for modeling complex systems where the timing of events and their interactions play a crucial role. It allows for capturing the dynamic nature of the system, simulating the flow of entities (such as customers, vehicles, or messages) through the system, and observing the effects of event sequencing and resource allocation on system performance.

By simulating the system and observing the events and their consequences, DES enables analysts to evaluate different scenarios, study the impact of various parameters, and optimize system design or operation. It provides insights into system performance measures, such as throughput, waiting times, resource utilization, or customer satisfaction.

Overall, discrete-event simulation is a powerful technique for modeling and analyzing complex systems with discrete changes, events, and interactions over time.

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The model above is known as a discrete-event simulation model according to the output analysis.

A discrete event simulation is a type of computer-based modeling where a series of discrete events in a system are simulated.

In such models, the system under consideration evolves through a series of discrete events that are instantaneous.

For example, in the retail establishment model, each customer arriving at the store would be considered a separate, discrete event.

The simulation would model the sequence of events that occur between the time the store opens at 9 am and when the last customer leaves before closing time at 5 pm.

The objective of the simulation would be to estimate some measure of the quality of customer service during this time period.

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Answer: B

Step-by-step explanation:

B is the correct one because the $50 is one time payment and the $24.50 gets charged every month

I think my answer is correct? Not so sure though haha

Distance of 125 feet covered in 5 seconds, so the speed is 25 feet/second.

Any object's distance traveled in a unit of time is referred to as speed.

In mathematical term, Speed is express as S = D/T,

where S=speed, D=distance, T= time.

Given that,

The distance = 125 feet.

The time taken to cover the distance = 5 seconds.

To find the unit rate.

Apply formula,

speed = distance / time

          = 125 / 5

          = 25 feet / second

The required speed is 25 feet / second.

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Answer:

D. ADC EBC

Step-by-step explanation:

cb & cd have that little line showing they're the same

Answer:

43543

Step-by-step explanation:

7556-665

The solution is Option C.

6/11 is not a reasonable answer for the fraction of her bookshelf Kiki has painted. The fraction should be 11/30

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is is given as

The fraction of bookshelf Kiki painted on Monday = 1 / 5

The fraction of bookshelf Kiki painted on Tuesday = 5 / 6

Now , the equation will be

Therefore , the total bookshelf Kiki painted is = fraction of bookshelf Kiki painted on Monday + fraction of bookshelf Kiki painted on Tuesday

Substituting the values in the equation , we get

The total bookshelf Kiki painted is = 1/5 + 5/6

The total bookshelf Kiki painted is = 11/30

Therefore , the value of A is 11/30

Hence , The total bookshelf Kiki painted is 11/30

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Answer:

2

Step-by-step explanation:

Since rounding to the one place relies on the decimal part, the part to focus on is the .5

becuase anything greater or equal to 5 is rounded up, the answer is 2

1.5 rounded to one decimal place will be 2.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Given a fraction number 1.5 that needed to be rounded to one decimal place. Since it's at the equidistance from the nearest whole number then we will follow the even number rule.

Rounds towards the nearest neighbor, but if equidistant, it rounds towards the even number. Both 1.5 and 2.5 are rounded to 2

therefore, 1.5 will be 2, when rounded to the nearest tenth.

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Risk is the potential that a chosen action may lead to an undesirable outcome.

In simple terms, the definition of risk is a condition that is uncertain, but contains an element of danger as a consequence or result of something. Once again, this something is a business, business, activity, or decision that you make.

The risks themselves are divided into several types, complete with different characteristics.

1. Pure Risk 

This pure risk is certain, meaning that when the risk occurs, you will experience a loss. And vice versa, if pure risk does not occur, then you will make a profit.

2. Speculative Risk 

There are three possibilities that will happen, if you experience speculative risk, namely profits, losses, or maybe break even. What is meant by break even is the break even point.

Conditions where there are no profits or losses, so it's normal. The most obvious examples of speculative risk are the lottery, stock exchange, exchange risk, and others.

3. Particular Risk or Special Risk

Specific risks originate from individual activities, so the impact can still be estimated or anticipated at the outset because they are local in nature. For example, a turbine explosion, a shipwreck, or maybe a crash.

How to anticipate it (example for collision risk). You can take out insurance to provide guarantees or protection, both for the vehicle and for yourself.

4. Fundamental Risk 

Fundamental risks come from the surrounding environment or nature which can have quite a big impact, because humans are not able to control them.

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Answer:

54√2

Step-by-step explanation:

6√3 × 3√6 =

( 6 × 3 ) × \(\sqrt{3*6}\) =

18√18 = 18√(2×9) =

18 ( √2 × √9 ) =

(18 × 3)√2 = 54√2

The product of 6 square root 3 and 3 square root 6 in the simplest radical form will be 54 square root 2.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that the two terms are 6√3  and 3√6.

We have to find the product of the given terms,

Radical notation is the term for an expression that employs a root, such as the square or cube root.

=6√3 × 3√6

=( 6 × 3 )√( 6 × 3 )

=18√18

= 18√(2×9)

=18 ( √2 × √9 )

=(18 × 3)√2

= 54√2

54√2 is the term shown in the radical form.

Thus, the product of 6 square root 3 and 3 square root 6 in the simplest radical form will be square root 54.

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Answer:

nothing

Step-by-step explanation:

all of them seem to be right. if you need practice work on alternate interior angles, exterior angles

Answer:

The answer is 80

Step-by-step explanation:

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The answer is 64 degrees

Answer:

40.82

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

C = 2πr

81.64 = 2(3.14)r - divide both sides by 2

40.82 = 3.14r - divide both side by 3.14

13 = r

Answer:

a) 1/20 = 5%

b) 7/50 = 14%

c) 3/4 = 75%

d) 25/36 = 69%

e) 10/80 = 13%

f) 73/90 = 81%

g) 125/140 = 89%

h) 146/200 = 73%

i) 25/40 = 63%

j) 18/21 = 86%

Answer

1,049.18 and 20,125.18

Step-by-step explanation:

increase: 19,076*0.055 = 1,049.18

new price: 19,076*1.055 = 20,125.18