(b) Expand and simplify (x - 3) (2x + 3)(4x + 5)

Answer:

see explanation

Step-by-step explanation:

starting with the polygon on the left at vertex Z ( marked with x ) and going clockwise.

Similarly polygon on right starting with vertex D ( marked with x ) and going clockwise.

ZLXY ≅ DABC

the scale factor of ZLXY → DABC

is the ratio of corresponding sides

scale factor = \(\frac{DA}{ZL}\) = \(\frac{9}{7.2}\) = \(\frac{5}{4}\)

Answer:

60%

Step-by-step explanation:

3/5 = 6/10 = 60%

Answer:

A. 60%

Step-by-step explanation:

3/5 =30/50=60/100

The location of all the relative and absolute extrema is (0, 0) (local minimum); (1, 1) (local maximum); (3, 3) (absolute maximum)

To find the relative and absolute extrema of the function f(x) = 2x - x^2 on the domain (0,3), we first take the derivative:

f'(x) = 2 - 2x

Setting this equal to zero, we find the critical point:

2 - 2x = 0
x = 1

To determine the nature of the critical point, we need to examine the second derivative:

f''(x) = -2

Since the second derivative is negative at x = 1, this critical point is a local maximum. To find the absolute extrema, we also need to examine the endpoints of the domain, x = 0 and x = 3:

f(0) = 0
f(3) = 3

So the function has an absolute maximum at x = 3 and an absolute minimum at x = 0. Therefore, the location of all the relative and absolute extrema, from smallest to largest x, is:

(0, 0) (local minimum)
(1, 1) (local maximum)
(3, 3) (absolute maximum)

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Answer:

Assuming you are looking for an expression to represent the area of the rectangle, as you didn't provide any values for the length or width, the area of the rectangle is \(x^{2} +4x\) \(un^{2} .\)

Step-by-step explanation:

          The formula for the area of a rectangle is \(a=lw\), where \(l\) represents the length of the rectangle, and \(w\) represents the width. We are given that the length of the rectangle is 4 units longer than its width, so we can set the width to be represented by the variable \(x\), and we get that the length and width are \(x+4\) and \(x\) respectively. As we are trying to find the area of the rectangle, we have to multiply the length and width of the rectangle together, which then we will get that the area of the rectangle is \(x(x+4)=x^{2} +4x\) \(un^2.\)

          If your teacher or whatever website you're using requires a specific variable, you can just replace the \(x\) in the expression to whatever you need.

Have a great day! Feel free to let me know if you have any more questions :)

To find the number of seats won by each party from a database of election results, we need the specific information about the parties, the candidates, and the corresponding vote counts or seat allocations.

With that information, we can perform calculations or queries to determine the number of seats won by each party.

Here's a general outline of the steps involved:

Obtain the election database or data that includes information on parties, candidates, and their respective vote counts or seat allocations.

Analyze the database structure to identify the relevant tables or fields

that store the necessary information.

Use database query or analysis tools to extract the relevant data. Write a query or use filtering mechanisms to retrieve the party names, candidate information, and corresponding vote counts or seat allocations.

Perform calculations or aggregations based on the data retrieved to determine the total number of seats won by each party. This can involve summing the vote counts or seat allocations for each party.

Present or display the results, showing the number of seats won by each party in the election.

Please provide the specific database structure or information about the parties, candidates, and vote counts if you have them, and I can assist you further in generating the desired results.

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Convert everything to sine and cosine.

Answer:

the answer is 1

Step-by-step explanation:

got it right on delta

The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.

To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.

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Answer: 4 laps

Step-by-step explanation:

To find this we need to divide the total length needed to run by the length of a single lap.

\(\frac{2.4}{0.6} = 4\)

If you prefer, you can also divide by fractions by turning 2.4 into 12/5 and .6 into 3/5. You could then divide 12 by 3 to get 4 or keep the fractions:

\(\frac{12}{5} * \frac{5}{3} = \frac{60}{15} = 4\)

Hope this helped you. If you need anything explained let me know.

Answer:

Lana gets $66

Step-by-step explanation:

Wendy has $200.

Jake gets 27% of $200 that is 27% x $200 = $54

Karl gets 2/5 of $200 that is 2/5 x $200 = $80

Lana gets the rest = 200 - 54 - 80 = $66

we replace m by (-3)

so

P = (-3)² / (2 - (-3))

P = 9 / 5

Answer: B 9/5

Step-by-step explanation:

m^2 = 9

2-m = 5

9/5= 18/10 or 9/5

Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.

In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.

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The number of sides is 72 sides

A polygon can be defined as a plane figure that is known by a finite number of straight line segments that are joined to form a closed polygonal chain.

To determine the number of sides in a polygon given the exterior angle value, we have make use of the formula;

360 degrees/ divide the exterior angle given

Now, substitute we have to substitute the value, we get;

360/5

Divide the values, we get;

72  sides

Hence, the number is 72

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Answer:

D) 25%

Hope you could understand.

If you have any query, feel free to ask.

Answer:

AB = 7 / cos 41° = 7/(0.7547) = 9.26

CA = 7×tan 41° = 7×0.8693 = 6.08

Answer:

It should be 2.

Step-by-step explanation:

The slope for this graph is 1/2 or 1 horizontal for every 2 verticals.

Answer:

It’s 2 I’ve done this before

Step-by-step explanation:

Answer:

A:5m +10 > 100

Step-by-step explanation:

It said grater so > has to be pointing away from the 100.Also he gets 5 video games every month not ten video games, so it's A.

Also I did that question on the test.

The inequality function that should be used to find m is 5m +10 > 100.

Given that,

Based on the above information, the inequality function is as follows:

5m +10 > 100

Therefore we can conclude that the inequality function that should be used to find m is 5m +10 > 100.

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To determine the number of individuals in each sample for the given analysis of variance (ANOVA) comparing three treatment conditions with dftotal = 32, So, there are 11 individuals in each sample for this analysis of variance comparing three treatment conditions.

we can follow these steps:
Step 1: Calculate the degrees of freedom between treatments (dfbetween)
Since there are three treatment conditions, the degrees of freedom between treatments can be calculated as follows:
dfbetween = (Number of treatment conditions - 1)
dfbetween = (3 - 1)
dfbetween = 2Step 2: Calculate the degrees of freedom within treatments (dfwithin)
The total degrees of freedom (dftotal) is given as 32. We can use this to calculate the degrees of freedom within treatments (dfwithin) using the formula:
dfwithin = dftotal - dfbetween
dfwithin = 32 - 2
dfwithin = 30
Step 3: Calculate the number of samples (nsamples). There are three treatment conditions, and all the samples are the same size. Let's assume that there are n individuals in each sample. So, the total number of samples across the three conditions would be 3 * n.
Step 4: Calculate the number of individuals in each sample (n)
Now that we have the dfwithin and the total number of samples, we can determine the number of individuals in each sample using the formula:
dfwithin = (Total number of samples) - (Number of treatment conditions)
30 = (3 * n) - 3
To solve for n, we can rearrange the equation:
n = (dfwithin + 3) / 3
n = (30 + 3) / 3
n = 33 / 3
n = 11

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Answer:

A.) The function is increasing for all real values of x where x < -4

Step-by-step explanation:

On the interval x < -4, all of the x values are increasing. Before x = -4, the line assumes a positive slope because it is heading upwards. After this interval, the function is decreasing because the slope is heading downwards.

On the interval -6 < x < -2, all of the x values are positive because they lie above the x-axis. This does not necessarily mean that all of the values are increasing.

On the interval x < -6 and x > -2, all of the x values are negative because they lie below the x-axis.

Answer:

19%

Step-by-step explanation:

If you mulityply by 1.19 you are giving a result of 119%, thus you either multiply by 1.19 or divide first by 100 and then multiply by 119.

Answer:

false

Step-by-step explanation:

X is equal to Y

therefore,

X = Y

X= false

Y = false

so,

false = false

6 chickens and 14 pigs in the farm.

Let the number of chickens in the farm = x

Let the number of pigs in the farm = y

Number of legs of chickens = 2*x (since chickens have 2 legs)

Number of legs of pigs = 4*y (since pigs have 4 legs)

We are given that there are a total of 30 animals (pigs + chickens)

so, number of chickens + number of pigs = 30

x + y = 30

We are given that there is a total of 68 legs in the farm

so, legs of chickens + legs of pigs = 68

2x + 4y = 68

Solving for number of chickens and pigs:

from the question, we have deduced that:

x + y = 30

2x + 4y = 68

taking the value of x from the first equation and using it in the second equation:

x = 30 - y

2(30-y) + 4y = 68

60- 2y + 4y = 68

40 + 2y = 68

2y = 68-40

2y = 28

y = 14

Using this value of y in the first equation:

x + y  = 30

x + (14) = 20

x = 20-14

x = 6

Therefore, there are 6 chickens and 14 pigs in the farm

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Answer:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Step-by-step explanation:

We can find the function f(x) by integrating f'(x) with respect to x:

â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx

f(x) = -1/x^2 + 4e^x + 5x + C

To find the constant C, we can use the given initial conditions:

f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C

C = 1 + 1/1 - 4e^(-1)

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Therefore, the function f(x) is:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Using a translation of the axes, we reduce the equation in terms of u and v as 3uv + (3a - 6)u + (3b - 21)v + (3ab - 21a - 6b - 47) = 0 and the locus of this equation represents the curve in the translated coordinate system.

To reduce the equation 3xy - 21x - 6y - 47 = 0 using a translation of the axes, we need to perform a change of variables. Let's introduce new variables u and v, which are related to the original variables x and y through the equations:

u = x - a
v = y - b

where (a, b) represents the translation vector. By substituting these new variables into the equation, we can eliminate the linear terms and obtain the reduced equation in terms of u and v.

Now, let's solve for x and y in terms of u and v:

x = u + a
y = v + b

Substituting these expressions into the original equation, we get:

3(u + a)(v + b) - 21(u + a) - 6(v + b) - 47 = 0

Expanding and simplifying this equation, we obtain:

3uv + 3av + 3bu + 3ab - 21u - 21a - 6v - 6b - 47 = 0

Combining like terms, we get:

3uv + (3a - 6)u + (3b - 21)v + (3ab - 21a - 6b - 47) = 0

This is the reduced equation in terms of u and v. The locus of this equation represents the curve in the translated coordinate system.

To indicate the original and translated coordinate systems, we can plot the original axes and the translated axes on a graph. The original axes represent the x and y axes, while the translated axes represent the u and v axes. The translation vector (a, b) determines the displacement of the translated axes relative to the original axes.

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Answer:

x=180-x

2x=180

x=90

Step-by-step explanation:

There are 1,680 different ways to select the officers for your club.

To determine the number of ways you can select officers for your club, you'll need to use the concept of permutations.

In this case, there are 8 members and you need to choose 4 positions (president, vice president, secretary, and treasurer).

The number of ways to arrange 8 items into 4 positions is given by the formula:

P(n, r) = n! / (n-r)!

where P(n, r) represents the number of permutations, n is the total number of items, r is the number of positions, and ! denotes a factorial.

For your situation:

P(8, 4) = 8! / (8-4)! = 8! / 4! = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (4 × 3 × 2 × 1) = (8 × 7 × 6 × 5) = 1,680

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Based on the given information, the chance of the business venture being considered highly disappointing is unknown.

The probabilities for all the outcomes are provided except for the probability of the business venture being highly disappointing. Without knowing the specific probability assigned to the highly disappointing outcome, it is not possible to calculate the chance or provide an exact value.

It is important to note that the term "unknown" suggests that the probability for the highly disappointing outcome has not been provided or determined. It could be the case that the probability was not included in the given information or that it is simply not available. Without this specific probability, it is not possible to calculate the overall chance of the business venture being highly disappointing.

In summary, the chance or probability of the business venture being highly disappointing cannot be determined without the specific probability assigned to that outcome.

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The special rule of addition holds true for both mutually exclusive and independent events. It states that the probability of the union of two events is equal to the probability of the first event plus the probability of the second event.

Probability is the measure of how likely an event is to occur. Probability is expressed as a number between 0 and 1, where 0 indicates that an event cannot occur and 1 indicates that an event is certain to occur. Probability theory is an important branch of mathematics that deals with the study of uncertain events and their outcomes. It is used to determine the odds of certain events occurring, such as the success of a medical procedure or the outcome of a roll of a die. Probability is also used to calculate the expected value of a situation, which is the average outcome of a given event.


A. P(A U B) = P(A) + P(B) is the special rule of addition which states that the probability of the union of two events is equal to the probability of the first event plus the probability of the second event. This rule holds true for both mutually exclusive and independent events.

Mutually exclusive events are events with no common outcomes, meaning that the probability of two or more events occurring together is zero. For example, if we have two coins, a head and a tail, then the probability of getting a head and a tail occurring together is 0. Therefore, the special rule of addition holds true in this instance since P(A U B) = P(A) + P(B) = P(Head) + P(Tail) = 0 + 0 = 0.

Independent events are events where the occurrence of one event does not affect the probability of the other event. For example, if we have two coins, a head and a tail, and we flip them both, then the probability of getting a head and a tail is 1/4. Therefore, the special rule of addition holds true in this instance since P(A U B) = P(A) + P(B) = P(Head) + P(Tail) = 1/4 + 1/4 = 1/2.

In conclusion, the special rule of addition holds true for both mutually exclusive and independent events. It states that the probability of the union of two events is equal to the probability of the first event plus the probability of the second event.

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Complete questions as follows-
Which of the following statements is true regarding the special rule of addition? (select all that apply)
[A]. P(A U B) = P(A) + P(B)
[B]. Only works for mutually exclusive events
[C]. Only works for independent events
[D]. P(An B) = 0

A. P(A U B) = P(A) + P(B) is the special rule of addition which states that the probability of the union of two events is equal to the probability of the first event plus the probability of the second event.

Addition involves combining two or more numbers or values to produce a sum. It is one of the four basic operations in mathematics, along with subtraction, multiplication and division.

A. P(A U B) = P(A) + P(B) is the special rule of addition which states that the probability of the union of two events is equal to the probability of the first event plus the probability of the second event. This rule holds true for both mutually exclusive and independent events.

Mutually exclusive events are events with no common outcomes, meaning that the probability of two or more events occurring together is zero. For example, if we have two coins, a head and a tail, then the probability of getting a head and a tail occurring together is 0.

Therefore, the special rule of addition holds true in this instance since P(A U B) = P(A) + P(B)

= P(Head) + P(Tail)

= 0 + 0

= 0.

Independent events are events where the occurrence of one event does not affect the probability of the other event. For example, if we have two coins, a head and a tail, and we flip them both, then the probability of getting a head and a tail is 1/4.

Therefore, the special rule of addition holds true in this instance since P(A U B) = P(A) + P(B)

= P(Head) + P(Tail)

= 1/4 + 1/4

= 1/2.

In conclusion, the special rule of addition holds true for both mutually exclusive and independent events. It states that the probability of the union of two events is equal to the probability of the first event plus the probability of the second event.

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Complete questions as follows-

Which of the following statements is true regarding the special rule of addition? (select all that apply)

[A]. P(A U B) = P(A) + P(B)

[B]. Only works for mutually exclusive events

[C]. Only works for independent events

[D]. P(An B) = 0

Answer:

about 0.00645 pounds

Step-by-step explanation:

3.225 / 500 = 0.00645

Answer:

A single paper should weigh about 0.00645

Step-by-step explanation:

All you really need to do is divide 3.225 by 500.

If the value of n equals \(-\frac{1}{10}\), then the given equation would be true.

_________________________________________________

Isolate the variable by dividing each side by factors that do not contain the variable. This being said and dealt with, n = \(-\frac{1}{10}\)

Now, in order to determine if the value of n truly does make the equation true, we put \(-\frac{1}{10}\) in replacement of the n values of the equation. In this situation, the left side 9.8 is equal to the right side 9.8 after \(-\frac{1}{10}\) is inserted. This means that the given statement is always true with \(n = -\frac{1}{10}\).

Hope this helps!