Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 5x − 1). If the final answer is written in the form Ax2 + Bx + C, what is the value of A? Give only the numeric value of A, and do NOT give variables in your answer.

Where tn-1(1-α/2) is the critical value of the t-distribution with (n-1) degrees of freedom at the 1 - α/2 confidence level, Sy is the sample standard deviation of Y, and sy is the sample standard error of Y.

Standard deviation is a statistical measure that calculates the amount of variation or dispersion of a set of data values from its mean or average. Standard deviation is commonly used in statistics to measure the amount of variation or dispersion of a set of data values from their mean or average.

For a large-sample interval for σy – µy, the formula is:
σy – µy = tn-1(1-α/2) * Sy / √n

For a small-sample interval for µy – σy, the formula is:
µy – σy = tn-1(1-α/2) * sy / √n


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The matrix structure is an organizational design that combines functional and divisional reporting lines within the same company. The three conditions which usually exist when the matrix structure is found are multiple projects, interdependency, and a skilled workforce.

This structure facilitates better coordination and communication, allowing organizations to more effectively manage complex and diverse projects.
There are three conditions that usually exist when the matrix structure is found:
1. Multiple Projects: Matrix structures are often used in organizations that manage multiple projects or products simultaneously. These organizations need to allocate resources and personnel efficiently, and the matrix structure enables them to do so by allowing employees to work on various projects while still maintaining their functional roles.
2. Interdependency: In a matrix structure, there is a high level of interdependency among different departments and project teams. This interdependency promotes collaboration and communication, enabling the organization to respond more quickly to changing market conditions and customer needs.
3. Skilled Workforce: Organizations employing a matrix structure usually require a skilled and diverse workforce. These employees must be able to adapt to new challenges, work in cross-functional teams, and possess strong problem-solving skills. The matrix structure allows organizations to leverage the expertise of their workforce by assigning employees to projects based on their unique skill sets.
In conclusion, the matrix structure is an organizational design that combines functional and divisional reporting lines, enabling organizations to manage complex projects more effectively. This structure is typically found in organizations with multiple projects, a high level of interdependency, and a skilled workforce.

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Answer:

Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.

Step-by-step explanation:

A parallelogram have opposite sides parallel and congruent

the given quadrilateral is a parallelogram then

10 = x + 2 Equation A

x + 5 = 2x - 3 Equation B

Solving for Equation A:

x = 10 -2 = 8 inches

Solving for Equation B;

2x - x = 5 + 3

x = 8 inches

Value X are the same equations.

Means that

For x=8 inches opposite side

So Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.

Answer:

2c^2

Step-by-step explanation:

Simplify: 8c^3d^2/4cd^2.

The d^2 cancels out leaving 8c^3/4c. 8/4 = 2. c^3/c = c^2.

Therefore, your answer is 2c^2

Answer:

2c^2

Step-by-step explanation:

8c^3d^2 / 4cd^2= 2c^2

Answer:

Step-by-step

Answer:

The 14th floor.

Step-by-step explanation:

20 - 11 + 5 = 14.

20 - 11 = 9

9 + 5 = 14.

This looks simple, not sure if there's anything funny going on. IF there isn't anything then it is just plainly on the 14th floor.

Answer:

The answer is \(3^3\times 2^2\).

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

\(3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}\)

For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

Answer:

I dont have time to answer but i explained c:

Step-by-step explanation:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x).

If you can't seem to solve for x, then try graphing the function to find the range.

Answer:

\(S_3=35\)

Step-by-step explanation:

Given: \(S_1=3\,,S_n=7(S_{n-1}-2)\)

To find: \(S_3\)

Solution:

First find \(S_2\)

Put \(n=2\) in \(S_n=7(S_{n-1}-2)\)

\(S_2=7(S_{2-1}-2)\\S_2=7(S_1-2)\)

Put \(S_1=3\)

\(S_2=7(3-2)=7\)

Now find \(S_3\)

Put \(n=3\) in \(S_n=7(S_{n-1}-2)\)

\(S_3=7(S_{3-1}-2)\\S_3=7(S_{2}-2)\)

Put \(S_2=7\)

\(S_3=7[(7)-2]=7(5)=35\)

Answer:

-33/14

Step-by-step explanation:

We need to solve out the equation and find out the value of x , on taking the given equation ,

→ 7( x + 6) + 7x = 9

→ 7x + 42 + 7x = 9

→ 14x + 42 = 9

→ 14x = 9 - 42

→ 14x = -33

→ x = -33/14

Answer:

2001

Step-by-step explanation:

First, let us find the circumference of the wheel ( circle ) using the below formula.

C = 2πr

Here,

r ⇒ radius ⇒ 28 cm

Let us solve it now.

C = 2 × π × 28

C = 175.93 cm

And now let us covert the travelling distance to centimeters.

( For that, multiply km by 100000 )

3.52km = 352000 cm

Now, to find the number of revolution, divide the total distance travelled by its circumference.

352000/175.93 = 2000.79

Approximately, 2001 revolutions

The number of revolutions made by a wheel of 28cm radius covering a distance of 3.52km is 2000.8.

Given,

Radius, r = 28cm

Circumference = 2πr = 56π cm

Circumference = Distance traveled in one revolution

The distance traveled by wheel = 3.52km = 3520m = 352000cm

Let N = number of revolution

Now we know that,

Total distance = Number of revolutions × 1 revolution distance(circumference)

or 352000 = N × 56π

or N = 352000/56π

or N = 2000.8

Therefore, the number of revolutions made by a wheel of 28cm radius covering a distance of 3.52km is 2000.8.

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Answer:

V = 1/32 yd^3

Step-by-step explanation:

To find the volume

V= l*w*h  where l is length, w is width, and h is height

V = 1/4 * 1/4 * 1/2

V = 1/32 yd^3

Answer:

y=30°

Step-by-step explanation:

Since the ticks on the sides of the triangle show that the sides are equal, then the triangle must be an equilateral triangle. This means that 2y=60°.

2y=60

Divide both sides by 2:

y=30°

Answer:

The scale is 1:200

Step-by-step explanation:

On the plan we have the drawing as 6 cm

In real representation, we have the distance as 12 m

Firstly we have to convert to same unit

In this case, we use the cm for convenience

Mathematically, 100 cm is 1 m

Thus, 12 m

will be 12 * 100 = 1,200 cm

So, we have the ratio as;

6 cm : 1,200 cm

and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)

Density = mass/ volume

Density = 18.5 g / 2.35 cm^3

Density = 7.87 g/cm^3

Answer:

Converse of the Alternate Exterior Angles Theorem.

Step-by-step explanation:

The alternate exterior angles theorem explains that "if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent." Judging from the fact that the problem is including <1 and <8, we can safely assume that it is including this theorem since both of said angles are on the exteriors of the pair of parallel lines. Not to mention that this principle also effectively proves that both lines are parallel to each other, thus proving this sentence true.

Answer:

Step-by-step explanation:

If AB is parallel to CD and there is a transversal cutting through both (as there is, although it is not named here), then by the definition of corresponding angles, angles 1 and 5 are corresponding and are therefore, congruent. If angle 1 measures 120 then so does angle 5. Learn these...they're very important and are prevalent in triangle stuff in geometry!!!

Answer:

You didn't ask anything.

To prove this identity, we start with Fermat's Little Theorem, which states that if p is a prime number and a is any integer coprime to p, then a^(p-1) ≡ 1 (mod p).

Using this theorem, we can rewrite the given identity as a^(p-1) * a(p-2) ≡ 1 (mod p^2).

Next, we can multiply both sides by a to get a^(p-1) * a(p-1) ≡ a (mod p^2).

Since a and p are coprime, we can use Euler's Totient Theorem, which states that a^φ(p) ≡ 1 (mod p) where φ(p) is the Euler totient function. Since p is prime, φ(p) = p-1, so a^(p-1) ≡ 1 (mod p).

Using this result, we can rewrite our identity as a^(p-1) * a(p-1) * a^-1 ≡ a^(p-1) ≡ 1 (mod p), which implies that a^(p-1) ≡ 1 (mod p^2).

Therefore, we have proven the identity a p(p−1) ≡ 1 (mod p 2 ), where a is coprime to p, and p is prime.

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Answer:

25 weeks

Step-by-step explanation:

step 1. find y which is what you are trying to find which is how long it will take for drake to make $1200

step 2.- subtract 450 from each side

1200=30x+450

-450           -450

750=30x

step 3.- divide by 30 on both sides

750=30x

30    30

x=25

i dont know if this helps but i am still learning how to explain on here. :)

Answer:

it will take him 25 weeks

Step-by-step explanation:

because 1,200 - 450= 750, and 750 divided by 30 is 25, therefore it will take him 25 weeks.

The ratio of the least common multiple of 180 and 594 to the greatest common factor of 180 and 594 is 7,140:18.

The greatest common factor (GCF) of 180 and 594 is 18.

The least common multiple (LCM) of 180 and 594 is 7,140.

Therefore, the ratio of the LCM to the GCF is 7,140:18.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 180 and 594, you can use the prime factorization method. First, you need to prime factorize each number.

180 = 2 x 2 x 3 x 3 x 5 and 594 = 2 x 7 x 17.

Then, you need to identify the greatest common factor among the prime factors of each number. The prime factors of 180 and 594 that are common to both are 2 and 2, which means that the GCF of 180 and 594 is 18. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. To find the LCM of 180 and 594, you can use the prime factorization method. First, you need to prime factorize each number. 180 = 2 x 2 x 3 x 3 x 5 and 594 = 2 x 7 x 17. Then, you need to identify the least common multiple among the prime factors of each number. The LCM of 180 and 594 is 2 x 2 x 3 x 3 x 5 x 7 x 17, which is 7,140.

Therefore, the ratio of the LCM to the GCF is 7,140:18.

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Answer:

-2/45

Step-by-step explanation:

Hoped it helped!

Answer:

x = -1

Step-by-step explanation:

Next, you’re going to research the author. Write down notes that target specific facts about Cisneros in the box below. Your notes should be helpful in understanding her biases, experiences, and knowledge. List three well-developed ideas as opposed to three simple facts in the light blue area of the box (that will be four ideas including my sample for an “A” grade). Be sure you are not copying and pasting from a website and that your words are your own. Cite your sources by putting the author’s last name or the title of the website if there is not an author. I have an example as a model.

Sandra Cisneros was born 1954 in Chicago, USA making her 49 years old, thus she was writing about the 1960-90’s. She writes all different styles of pieces most of which are for pre-teens and teens, but she also writes for adults. She has won a lot of different writing awards throughout her life (Cisnero).

Step-by-step explanation:

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:

dy/dx = cos(f(x^2)) * d/dx[f(x^2)]

To find d/dx[f(x^2)], we can use the chain rule again:

d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)

So, putting it all together:

dy/dx = cos(f(x^2)) * 2xf'(x^2)

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

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Integrating by parts, we have:

I x f''(x) dx = I x f'(x) f'(x) dx - I f'(x) x f'(x) dx

The value of the integral I x f''(x) dx when f(0) = 2, f(1) = 3, f'(0) = 2, f'(1) = 4 is 3.

Using the fact that f(0)=2 and f(1)=3, the left side of the equation evaluates to f(1)f'(1)-f(0)f'(0) = 3*4 - 2*2 = 8.

For the right side, we can evaluate the first term by substituting x=0 and x=1, which yields f'(1) - f'(0) = 4 - 2 = 2. For the second term, we can evaluate the integral as follows:

I f'(x) x f'(x) dx = I x2 f'(x)2 dx = x3 f'(x)2/30 = 13 f'(1)2/3 - 03 f'(0)2/3 = 22/3 - 0/3 = 4/3.

Substituting these values into the equation yields 8 = 2 - 4/3, which simplifies to 8 = 14/3. This implies that I=3.

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