find a value of x , that divides the area bounded by the x-axis and the function 3 2 y x x x6 into two sectors of equal area.

Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

The estimate of the population proportion of defectives is 0.05.

Given that,

There are 10 different samples of 50 observations, that is, total of 500 observations.

To find : The estimate of the population proportion of defectives

And total number of defectives from 500 observations is (5+1+1+2+3+3+1+4+2+3) = 25

Thus, the point estimate for the population proportion defectives will be,

=25/500=0.05

or just obtain the individual proportion of each sample and then take their average to obtain the same result.

Thus, the point estimate for the population proportion defectives will be 0.05

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The term "group dynamics" refers to the interactions and processes that take place among the members of a team. The correct option is d.

Group dynamics play a significant role in shaping the overall functioning and effectiveness of a team. These dynamics encompass various aspects such as communication, decision-making, leadership, motivation, and conflict resolution. By understanding and managing group dynamics, teams can enhance their performance and achieve better results.

Effective communication is crucial for any team, as it allows members to express their thoughts, ideas, and concerns. Decision-making within a team can be influenced by the opinions and preferences of its members. In some cases, group dynamics can lead to groupthink, where individuals conform to the group's consensus rather than voicing their unique perspectives.

Leadership within a team can emerge formally or informally, impacting the direction and overall effectiveness of the group. Motivation can be affected by group dynamics, as members who feel valued and included in the decision-making process are more likely to be motivated and engaged.

Lastly, conflict resolution is an essential aspect of group dynamics, as conflicts may arise due to differences in opinions or working styles. Resolving these conflicts constructively contributes to the overall growth and development of the team.

In summary, group dynamics encompass the complex interactions and processes that occur among team members, influencing their communication, decision-making, leadership, motivation, and conflict resolution. By understanding and managing these dynamics, teams can improve their overall effectiveness and productivity.

Thus, the correct option is d.

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Answer:

Step-by-step explanation:

You just have to substitute -3 into your function.

Therefore: 9 + 15 + 36 = 50

The value of the  f (−3) is 42 after plugging the value of x = -3 in the function f(x) = -x² - 5x + 36.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

f(x) = -x² - 5x + 36

Any function of the form \(\rm f(x) =ax^2+bx+c\)  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

Plug x = -3 in the above function:

f(-3) = -(-3)² - 5(-3) + 36

f(-3) = -9 + 15 + 36

f(-3) = 42

Thus, the value of the  f (−3) is 42 after plugging the value of x = -3 in the function f(x) = -x² - 5x + 36.

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Let's find.

\(\\ \rm\Rrightarrow (-2x^3+x-5)(x^3-3x-4)\)

\(\\ \rm\Rrightarrow x^3(-2x^3+x-5)-3x(-2x^3+x-5)-4(-2x^3+x-5)\)

\(\\ \rm\Rrightarrow -2x^6+x^4-5x^3+6x^4-3x^2+15x+8x^3-4x+20\)

\(\\ \rm\Rrightarrow -2x^6+7x^4+3x^3-3x^2+11x+20\)

#b

Yes

It's because multiplication law states that ab=ba

Answer:

Step-by-step explanation:

The product of polynomials is found by multiplying each term of one by each term of the other and collecting terms. It is repeated application of the distributive property.

__

  \((-2x^3+x-5)(x^3-3x-4)=-2x^3(x^3-3x-4)+x(x^3-3x-4)-5(x^3-3x-4)\)

  \(=(-2x^6+6x^4+8x^3)+(x^4-3x^2-4x)+(-5x^3+15x+20)\)

  \(=-2x^6 +(6+1)x^4 +(8-5)x^3-3x^2+(-4+15)x+20\\\\=\boxed{-2x^6+7x^4+3x^3-3x^2+11x+20}\)

__

Each term of one polynomial is multiplied by every term of the other. This will be the case regardless of which one is written first in the product. Multiplication of numbers and variables has commutative and associative properties, so the order does not matter. The products are equal.

68

5 can go into 3 0 times so skip that, 5 can go into 34 6 times, put a 6 on top 6×5=30 34-30=4 bring the 0 down 5 can go into 40 8 times so put an 8 beside the 6 8×5=40 40-40=0

Hope this is understandable and helps

Answer:

Hope it helps you

Step-by-step explanation:

PLS RATE AS BRAINLIEST ANSWER

Answer:

\(Circumcenter =(2,333, 1.3333) \;or\; \left(2\dfrac{1}{3}, 1\dfrac{1}{3}\right)\)

\(Orthocenter = (2.3333, 2.3333) \;or\;\left(2\dfrac{1}{3},2\dfrac{1}{3}\right)\)

Step-by-step explanation:

The length of each side of the isosceles triangle is 16 cm.

To find the length of the side of an isosceles triangle with a perimeter of 42 cm and one side equal to 10 cm, follow these steps:

1. Remember that an isosceles triangle has two sides of equal length (the "legs").
2. Since the perimeter is the sum of all three sides, you can represent this using the formula P = a + b + c, where P is the perimeter, and a, b, and c are the lengths of the triangle's sides.
3. In this case, P = 42 cm, one side (let's say 'a') is 10 cm, and the other two sides (b and c) have equal length.
4. Substitute the values into the formula: 42 = 10 + b + c.
5. Since b and c have equal lengths, you can represent them as 'x': 42 = 10 + x + x.
6. Simplify the equation: 42 = 10 + 2x.
7. Solve for x: 32 = 2x.
8. Divide both sides by 2: x = 16 cm.

So, the length of each side of the isosceles triangle is 16 cm.

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Answer:  2.78 Yards, 8.33 ft,

Step-by-step explanation:

Answer:

100 in. = 100 inches, 8 feet 4 inches, or 2.77777777778 yards.

Step-by-step explanation:

For a square with coordinates points ( -1,4) and (2,-3) of adjacent vertices, the area of square is equals to the fifty-eight square units.

A square is one of a two-dimensional closed shape includes 4 equal sides and 4 vertices. The area of a square is equal to multiplcation of side of square with itself, i.e., (side) × (side) square units. We have coordinates for an adjacent vertices of a square. That are ( -1,4) and (2,-3). We have to determine the area of square. First we have to determine the length side of square from coordinates. Distance formula,\(d = \sqrt{(x_2- x_1)²+(y_2 - y_1)²}\), where

Using the distance formula, distance between the two points, i.e., ( -1,4) and (2,-3), \(d = \sqrt{ (2-(-1))² + (-3 -4)²}\)

\(= \sqrt{ 9 + 49}\)

\(= \sqrt{ 58}\)

Since these points are the endpoints of one side of the square, so side of square, s = \(\sqrt{ 58}\) units

Using the formula of area of square, the required area = \(s² = ( \sqrt{ 58})²\)

= 58 square units

Hence, required value is 58 square units.

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Answer:

(-x+2)(2x+1) — first option

Step-by-step explanation:

The rectangles represent an x, red means negative and yellow is positive.

The squares represent a unit (the number 1).

The diagram attached below demonstrates how this works.

Basically the top row of this tile equation is (-x + 2)

And the column is (2x+1).

Expanding this makes -2x²+3x+2

Answer:

90 degrees

Step-by-step explanation:

took the test

The smallest angle of rotational symmetry for a square is 90°. option B

Thus, the smallest angle of rotational symmetry for a square is 90°

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Answer: The answer is D, inertia and gravity

Step-by-step explanation:

Answer:

NO.

Step-by-step explanation:

Technically, the highest IQ score possible is 200. The average is between 85 and 115. Seeing as how you got a score -250 below the highest possible, and 135-165 below average, I would say it's not a good score.

(Some people have IQ scores above 200, which just shows how concerning your score actually is.) :-)

Answer:

(2) The statement is true.

-1 < r < 1

Answer:

37

Step-by-step explanation:

Find the scale 296/8=37

The do 37 x 1=37

The correct option is the third one; (14, 4); The vertex represents the maximum profit.

For a general quadratic equation

y = ax² + bx + c

The vertex is at the x-value:

x = -b/2a

Here the quadratic function is:

f(x)=  -x² + 28x - 192

The vertex is at:

x = -28/2*-1 = 14

Evaluating in x= 14 we get:

f(14) = -14² + 28*14 - 192 = 4

So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.

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Answer:

C

Step-by-step explanation:

Becuase 68 is closer to c than b

We can fit 25 notebooks on the space.

Now, According to the question:

The width of the notebook is 2/5

The length of the space is 10 inches.

To find the number of the notebooks can put there divide 30 by 2/3

Number of the books : \(\frac{10}{\frac{2}{5} }\) = 10 × \(\frac{5}{2}\)

=> 50/2 = 25

The number of the notebook is 25

We can fit 25 notebooks on the space.

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The multiplication equation with 1/2 as a factor is 1/2 x 8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

We have the number of halves apples. = 8

Now, the expression of 8 halves apples.

= 1/2 x 8

= 4

Thus, the multiplication equation is 1/2 x 8.

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How to write a multiplication equation with 1/2 as a factor. explain. (picture of 8 halved apples)

Step-by-step explanation:

F(x) = 4x^3 - 3x^2 + 5 neither

F(x) = -7x^2+1 even

y = cos (-x) even

y = csc x odd

y = sin x/cos x odd

The area of the Taj Mahal is 9092.16 square meters (97,890.56 square feet).

The quantity of square units required to completely cover a square is known as the area of a square. The territory that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. The measurement is made using square units, with square meters serving as the standard unit.

The Taj Mahal has an area of 9092.16 square meters (97,890.56 square feet). We utilise the formula for calculating the area of a square, which is length x width. The Taj Mahal's length and width are both 95.4 metres, therefore we just multiply these two values together. 9092.16 square meters = 95.4 × 95.4 square meters (97,890.56 square feet). This is the Taj Mahal's area.

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Answer:

First parabola's vertex is (-2,2), which is a minimum.

Second parabola's vertex is (3,2), which is a maximum.

Step-by-step explanation:

Simply, a vertex of a quadratic is a graph's turning point.

The maximum and minimum can be identified by seeing if the graph curves up or down.

Maximum occurs when your graph is facing down.

Minimum occurs when your graph is facing up.

Answer:

i believe its d

Step-by-step explanation:

Yes, the unit rate of the ratio 12/5/3/10 is 8/1 as per given in the problem.

A unit rate is the price for one unit of a given quantity. With one as the denominator, we express this as a ratio. You would run 7 yards on average every second if you ran 70 yards in 10 seconds, for instance. The 70 yards in 10 seconds and the 7 yards in 1 second ratios are both rates, however the 7 yards in 1 second ratio is a unit rate.

Here, given that the unit rate for the ratio given is 8/1

We have to check whether the ratio is correct or not

So, (12/5)/(3/10)

=(12/5)×(10/3)

=8/1

Therefore, the ratio 8/1 is correct as per given in the sum

So, the answer is yes

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The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.

To identify the surface whose equation is given as ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81, we can follow these steps:

Rewrite the equation
We have the equation: ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81

Isolate ρ²
We can rewrite the equation as: ρ² = 81 / (sin²(φ) sin²(θ) + cos²(φ))

Find ρ
Take the square root of both sides to find ρ: ρ = √(81 / (sin²(φ) sin²(θ) + cos²(φ)))

The given equation represents a surface in spherical coordinates (ρ, φ, θ). Since ρ (the radial distance) is expressed in terms of φ and θ, the surface is not a simple sphere or ellipsoid. The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.

However, without further information, it's difficult to provide a specific name for this type of surface.

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Answer:

$51.75

Step-by-step explanation:

Use a tip calculator.