What is the form of the Difference of Squares identity?
A. a^2 + b^2=(a - b)(a - b)
B. a^2- b^2 = (a+b)(a - b)
C. a^2 - b^2 = (a - b)(a - b)
D. a^2- b^2 = (a+b)(a + b)

Answer:

I think the answer is B

Step-by-step explanation:

The inequality that represents "all real number's 'x' greater than 2" is \(x > 2\) and the inequality that represents "6 more than a number 'k' is less than or equal to 12" is \(6 + k \leq 12\).

a)

Given :

All real number's 'x' greater than 2

So, the inequality that represents the given verbal expression is given below:

\(x > 2\)

where 'x' is the real number.

b)

Given :

6 more than a number 'k' is less than or equal to 12.

So, the inequality that represents the given verbal expression is given below:

\(6 + k \leq 12\)

where 'k' is the given number.

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The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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These lines never intersect, there are no solutions to the equation.

In mathematics, a graph is a visual representation of a set of objects and the relationships between them. Graphs are widely used in many areas, including mathematics, computer science, engineering, social sciences, and more.

A graph consists of two main components: vertices (also known as nodes) and edges. The vertices represent the objects, and the edges represent the connections or relationships between them. The edges can be directed or undirected, meaning they can be one-way or two-way relationships.

There are many types of graphs, including:

Undirected graphs: Graphs in which edges have no direction.

Directed graphs: Graphs in which edges have a direction, often represented by arrows.

Weighted graphs: Graphs in which edges have weights or values, representing some kind of numerical data.

Bipartite graphs: Graphs in which the vertices can be divided into two distinct sets, with edges only connecting vertices in different sets.

Complete graphs: Graphs in which every vertex is connected to every other vertex by an edge.

Graphs are used to model and analyze various kinds of data, such as social networks, transportation systems, financial transactions, and more. They are also used in algorithms and data structures, such as shortest path algorithms and tree data structures. In addition, graphs are often visualized using software tools to help people better understand complex relationships and patterns in data.

The given equation is 3x + 1 = 3x + 2.

Subtracting 3x from both sides, we get:

1 = 2

This is a contradiction and there are no values of x that can satisfy this equation.

On a graph, this can be seen as follows:

Plotting the graphs of y = 3x + 1 and y = 3x + 2, we get two parallel lines.

Since these lines never intersect, there are no solutions to the equation.

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Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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Answer:

Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Step-by-step explanation:

According to trigonometry identity;

Cos 30° = √3/2

To get the expression equivalent to 30°, we will take the inverse of both sides as shown;

Cos^-1(cos 30°) = cos^-1(√3/2)

The arccos will cancel out the cos on the left hand side of the equation to have;

30° = cos^-1(√3/2)

Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Answer:

the Answer is A

Step-by-step explanation:

Edge 2020

The total interest income reported over the life of the bond investment would be $7,500.

To calculate the total interest income, we need to determine the annual interest payment and multiply it by the number of years until maturity. In this case, the bond has a par value of $50,000 and pays interest at a 3% annual rate. The annual interest payment can be calculated by multiplying the par value by the interest rate, which gives us $50,000 * 0.03 = $1,500.

Since the bond has a maturity period of 5 years, we can multiply the annual interest payment by the number of years to obtain the total interest income. Therefore, the total interest income is $1,500 * 5 = $7,500.

Adelphi Company purchased the bonds at 101, which means they bought them at a premium. The straight-line amortization method assumes that the premium or discount is amortized evenly over the life of the bond. However, since the premium was not mentioned explicitly in the question, we can assume that it does not affect the calculation of the total interest income. In conclusion, over the life of the bond investment, Adelphi Company will report a total interest income of $7,500.

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The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

Answer:

40%

Step-by-step explanation:

The probability of the arrow landing on the green section is a 40% chance

This is because there are only 3 sections where one is 50 and the other is 10

To find the green we can create an equation, where x = green section

50 + 10 + x = 100

The equation equals 100 because that's the highest the percentage will go in probability, unless we were told otherwise

60 + x = 100

x = 100 - 60

x = 40

Answer:

22 is the number

Step-by-step explanation:

When ratio  

         88:22

Is divided with 11 it gives 8:2

Answer:

Simplify terms.

Tap for more steps...

2 x ^3 − 9 x^ 2 + 7 x + 6

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

Answer:

I think it is 8.

Step-by-step explanation:

But I might be wrong.

Answer:

36 sides

Step-by-step explanation:

360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.

Answer: 4

Based on the given conditions, formulate

Multiply both the numerator and denominator with the same integer

Convert decimal to fraction

Simplify fraction(s)

This query relates to prices. Let's use the rate for a cold tap to represent Rc and hot water to represent Rh.

Therefore,

Since R = V/t, where t is the fill-in time, determines the rate at which the volume V tab is filled. The following can be written for both of them:

Rc = V/17

Rh = V/t

Rc + Rh = V/7

where t is the time that we need to find.

V/17 + V/t = V/7

Divide both sides by V to get:

1/17 + 1/t = 1/7

Rearrange:

1/t = 1/7 - 1/17

Bring to common denominator:

1/t = (17 - 7)/(7*17) = 10/119

Take an inverse:

t = 119/10 = 11.9 minutes.

The complete question is?

Left on together, the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill t?

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Answer:

10

Step-by-step explanation:

10 is divisible on dividing by 2 and 5

Answer:

13.25

Step-by-step explanation:

Answer:

13.25

Step-by-step explanation:

I did the ixl

Answer:

4th option

Step-by-step explanation:

Substitute x = 3p into f(x) , that is

f(3p) = 3p + 4

Then

ordered pair is (3p, 3p + 4 )

Answer: 5*4=20 6*4=24 7*4=28 8*4=32

Step-by-step explanation:

Hope this helps. :)

Answer:

The linear function is a direct variation and the variation is multiply x by 4 to get Y. (x × 4 = y)

Step-by-step explanation:

5 × 4 = 20

6 × 4 = 24

7 × 4 = 28

8 × 4 = 32

Figure ABCD is a parallelogram, then angle A is congruent with angle D, that is,

m∠D = m∠A

x = 54°

segment CD bisects angle B, then angle ABC is congruent with angle CBD, that is,

m∠CBD = m∠ABC

y = 78°

Answer: it’s Sara paid 3

Step-by-step explanation:

The situation can be represent by the equation 1.50x + 3.00 = 9.00

Sara paid $3 for a ticket to the carnival. Carnival ride cost $1.50 each. Sara rode x rides and spent a total of $9 at carnival.

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. LHS = RHS is a common mathematical formula.

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:

1.50x + 3.00 = 9.00

Here we have 1.50x shows x is changing factor which has constant price 1.50.

and, $3 is the price of additional thing.

Then, the best option is Sara paid $3 for a ticket to the carnival. Carnival ride cost $1.50 each. Sara rode x rides and spent a total of $9 at carnival.

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In short-run equilibrium, a monopolistically competitive firm will generate a level of output where marginal revenue equals marginal cost, but it will operate at a level of output below the one that minimizes average total cost.

Monopolistic competition is a market structure characterized by many firms selling differentiated products that are close substitutes for each other. In the short run, a monopolistically competitive firm aims to maximize profits or minimize losses. To achieve this, the firm will produce the quantity of output where marginal revenue (MR) equals marginal cost (MC). This is because in the short run, the firm has some degree of market power, allowing it to influence prices by adjusting its output level.

However, due to product differentiation, monopolistically competitive firms face downward-sloping demand curves, meaning that they have to lower prices to sell more output. As a result, the price charged by the firm will exceed marginal cost. This leads to a situation where the firm operates at a level of output below the one that would minimize its average total cost (ATC). In other words, the firm does not achieve productive efficiency in the short run.

In conclusion, in short-run equilibrium, a monopolistically competitive firm will produce the quantity of output where MR equals MC but will operate at a level of output below the one that minimizes its average total cost due to the effects of product differentiation and pricing decisions.

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Answer:$2.61

Step-by-step explanation:

18=$15.66

÷6    ÷6

3=$2.61

The cost of 3 bottles of juice based on the given ratio will be $2.61.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

18 bottles cost = $15.66

1 bottle cost = $15.66/18 = $0.87/ bottle

For 3 bottles = 3 × $0.87 = $2.61

Hence "The cost of 3 bottles of juice based on the given ratio will be $2.61".

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Answer:

A) $425.92

Step-by-step explanation:

The new price percentage with relation to the previous can be determined by dividing \(p = \frac{484}{550}\). Once we calculate p, we can multiply it by 484, which is equivalent to applying the same discount, thus \(\frac{484}{550}484=425.92\)

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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Answer: angle A is none of those

Step-by-step explanation:

the sum of all angles in a triangle = 180

one of the triangles is 90

we can form an equation:

90 + (x+69) + (x+39) = 180

90 + 2x + 108 = 180

198 + 2x = 180

2x = 180 - 198

2x = -18

x = - 9

angle A = x+39

substitute x = -9

angle A = -9 + 39 = 30

so angle A is none of those

First, we can write the quadratic function in the form:

ax^2 + bx + c = a(x^2 + (b/a)x) + c

ax^2 + bx + c = a(x^2 + (b/a)x + (b/2a)^2 - (b/2a)^2) + c

ax^2 + bx + c = a[(x + (b/2a))^2 - (b/2a)^2] + c

minimum value of this expression occurs when (x + (b/2a))^2 = 0, which is only possible when x = -(b/2a)

ax^2 + bx + c = a(0 - (b/2a)^2) + c = -b^2/4a + c

the minimum value of the quadratic function is -(Δ/4a), which is equivalent to -b^2/4a when a > 0

the function is zero when x = 1, so we can write:

a(1)^2 + b(1) + c = 0

a + b + c = 0

ax^2 + bx + c = a(x - h)^2 + k, where h = -b/2a and k = -b^2/4a + c

the value of the function at x = 0 is 5, so we have:

a(0)^2 + b(0) + c = 5

c = 5

k = -b^2/4a + c

k = -(-a-5)^2/4a + 5

Simplifying this expression, we get:

k = (-a^2 - 10a - 25)/4a + 5

k = (-a^2 - 10a + 15)/4a

Since we know that k = -4, we can write:

-4 = (-a^2 - 10a + 15)/4a

Multiplying both sides by 4a, we get:

-16a = -a^2 - 10a + 15

Simplifying this equation, we get:

a^2 - 6a - 15 = 0

Factoring this quadratic equation, we get:

(a - 5)(a + 3) = 0

So, either a = 5 or a = -3. If a = 5, we can solve for b using the equation a + b

*IG:whis.sama_ent

The relationship between marketing expenditures (x) and sales (y) is represented by the formula y = 9x - 0.05. In this equation, 'y' represents the sales, and 'x' stands for the marketing expenditures. The formula indicates that for every unit increase in marketing expenditure, there is a corresponding increase of 9 units in sales, while 0.05 is a constant .

To answer this question, we first need to understand the given formula, which represents the relationship between marketing expenditures (x) and sales (y). The formula states that for every unit increase in marketing expenditures, there will be a 9 unit increase in sales, minus 0.05. In other words, the formula is suggesting a linear relationship between marketing expenditures and sales, where increasing the former will lead to a proportional increase in the latter.
To use this formula to predict sales based on marketing expenditures, we can simply substitute the value of x (marketing expenditures) into the formula and solve for y (sales). For example, if we want to know the sales generated from $10,000 of marketing expenditures, we can substitute x = 10,000 into the formula:
y = 9(10,000) - 0.05 = 89,999.95
Therefore, we can predict that $10,000 of marketing expenditures will generate $89,999.95 in sales based on this formula.
In conclusion, the formula y = 9x - 0.05 represents a linear relationship between marketing expenditures and sales, and can be used to predict sales based on the amount of marketing expenditures. By understanding this relationship, businesses can make informed decisions about how much to spend on marketing to generate the desired level of sales.

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