3. Indrani and Jagad share some money in the ratio Indrani: Jagad = 7:9. Calculate the percentage of the money that Indrani receives.​

Answer:

Step-by-step explanation:

Factoring  5n2-9n-2

The first term is,  5n2  its coefficient is  5 .

The middle term is,  -9n  its coefficient is  -9 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   5 • -2 = -10

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -9 .

     -10    +    1    =    -9    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  1

                    5n2 - 10n + 1n - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   5n • (n-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (n-2)

Step-5 : Add up the four terms of step 4 :

                   (5n+1)  •  (n-2)

            Which is the desired factorization

there are 924 different groups of players that can be on the field at a time. Each group consists of 6 players selected from the total pool of 12 players.

To determine the number of different groups of players that can be on the field at a time, we can use the concept of combinations. In this case, we have 12 players and we want to select 6 players to be on the field.

The formula for calculating combinations is given by nCr = n! / (r! (n-r)!), where n is the total number of players and r is the number of players to be selected.

Using this formula, we can calculate the number of different groups as follows:

12C6 = 12! / (6! (12-6)!) = 924

Therefore, there are 924 different groups of players that can be on the field at a time. Each group consists of 6 players selected from the total pool of 12 players.

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Answer:

1,2,4

Step-by-step explanation:

Answer:

B) $1.25

Step-by-step explanation:

1. First, let's take two points. In this case, we're going to take (4,5) and (8,10). We took 2 points, so we can verify the unit rate/cost per pound of pineapple.

2. To find the cost per pound of pineapple, we have to divide the cost (the y-coordinates) by the pound (x-coordinates)

3. Now, since we can verify with 2 coordinates that the cost per pound is $1.25, the answer is B) $1.25.

Answer:

Coordinate of Checkpoint B is (-9,5)

Step-by-step explanation:

Here is an inserted image of the graph and coordinates.

Answer:(-9,5)

Step-by-step explanation:

Answer:

g(x) = |x| - 7

Step-by-step explanation:

Given the parent function, g(x) = |x|, and its vertex at (0, 0):

Vertical translations: g(x) = |x| + k where:

k > 0, shifts up |k | units

k < 0, shifts down |k | units

Thus, a vertical translation of the parent graph can be represented with the following absolute value function:

g(x) = |x| - 7

where the vertex occurs at point, (0, -7).

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To prove that the determinant of an orthogonal matrix Q is ±1, we will use the fact that the determinant of a product of matrices is equal to the product of their determinants.

Let Q be an orthogonal matrix. We have Q¹Q = I, where I is the identity matrix. Taking the determinant of both sides, we get det(Q¹Q) = det(I).

Using the property that the determinant of a product is equal to the product of determinants, we have det(Q¹)det(Q) = det(I).

Since Q¹ is the transpose of Q, we have det(Q)det(Q) = det(I).

As det(I) = 1, we can simplify the equation to det(Q)² = 1.

Taking the square root of both sides, we have det(Q) = ±1.

Therefore, the determinant of an orthogonal matrix is always ±1.

An example of an orthogonal matrix that isn't diagonal is:
Q = [[cosθ, -sinθ], [sinθ, cosθ]]
where θ is any non-zero angle.

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Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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This question is dealing with classification of triangles based on angles or on number of equal sides.

the triangle is called an Obtuse Scalene Triangle

- Acute angle is when the angle measures between 0 and 90 degrees.

- Obtuse angle is when the angle is greater than 90 but less than 180 degrees.

- right angle is when the angle is exactly 90 degrees.

- Reflex angle is when the angle is greater than 180 but less than 360 degrees.

- Isosceles triangle is one that has  2 equal sides.

- Equilateral triangle is one that has 3 equal sides.

- Scalene triangle is one that has no equal sides.

The lengths of the three sides of the triangle given are;

5 cm, 9 cm, and 12.7 cm

The three sides are not equal and from definition above it is called scalene triangle.

The angle given is 128° and from definition earlier, it is an obtuse angle.

In conclusion, the triangle is called an Obtuse Scalene Triangle

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Answer:

(4)

Step-by-step explanation:

one 'x' value maps to more than one 'y' value

We can sketch the sets as follows:

(a) S+ is the region above the parabolic cylinder and to the left of the vertical line.

(b) S- is the region below the parabolic cylinder and to the right of the vertical line.

To sketch the sets S+ and S-, we need to determine the regions of the plane where f(x,y) is positive and negative.

First, let's find the zeros of f(x,y):

f(x,y) = (2x+y^2-5)(2x-1) = 0

This occurs when either 2x+y^2-5=0 or 2x-1=0. Solving for x in the second equation gives x=1/2, so we have two cases to consider:

Case 1: 2x+y^2-5=0

y^2 = 5-2x

This is a parabolic cylinder that opens downward along the x-axis and intercepts the y-axis at y=±sqrt(5). The vertex of the parabola is at (x,y)=(5/2,0).

Case 2: 2x-1=0

x = 1/2

This is a vertical line passing through x=1/2.

Next, we can examine the signs of f(x,y) in different regions of the plane:

In the region above the parabolic cylinder and to the left of the vertical line, both factors are negative, so f(x,y) is positive.

In the region below the parabolic cylinder and to the right of the vertical line, both factors are positive, so f(x,y) is positive.

In the region above the parabolic cylinder and to the right of the vertical line, the first factor is negative and the second factor is positive, so f(x,y) is negative.

In the region below the parabolic cylinder and to the left of the vertical line, the first factor is positive and the second factor is negative, so f(x,y) is negative.

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a) The domain and the range of the function are given as follows:

b) The zero of the function is given as follows: (3,0).

c) The behaviors are given by these following intervals:

d) The extremas are given as follows:

e) The function is neither even nor odd.

The domain of a function is the set that contains all the input values for the function, hence in the graph it is given by the values of x.

The range of a function is the set that contains all the output values for the function, hence in the graph it is given by the values of y.

The zeros are the points of the function at which it either crosses or touches the x-axis.

The function is increasing when the graph is moving up, and decreasing it the graph is moving down.

The extremas are given as follows:

The function is classified as even, odd or neither as follows:

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Answer:

The last answer (?)

Step-by-step explanation:

I'm pretty sure it is the last answer becuase the graph shows Brazil going down over time and it is a constant rate of change..

(sorry if it's wrong I learned this a long time ago so I may not be the best :)

Answer:

34 degrees

Step-by-step explanation:

m<z = m<s

In a unimodal, symmetrical distribution, the mean, median, and mode are the same. In a unimodal, symmetrical distribution, all three measures of central tendency—the mean, median, and mode—are identical and have the same value.

In a unimodal, symmetrical distribution, the data is centered around a single peak and exhibits symmetry, meaning that the left and right sides of the distribution mirror each other. This type of distribution is often referred to as a symmetric distribution. In such cases, the mean, median, and mode all coincide and have the same value. The mean of a distribution is calculated by summing all the data points and dividing by the total number of data points. In a symmetrical distribution, the values on both sides of the peak contribute equally to the mean, resulting in a balanced distribution. The median is the middle value of the data when it is arranged in ascending or descending order. In a symmetrical distribution, the median is located at the peak of the distribution since the left and right sides are mirror images. Therefore, the median is the same as the mean and mode. The mode represents the most frequently occurring value(s) in the distribution. In a symmetrical unimodal distribution, the peak occurs at the center, and since the distribution is symmetrical, there is only one mode, which is located at the peak. Consequently, the mode is also the same as the mean and median.

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All the answers to the above questions are as follows:

1. To determine d^2y/dx
dy:
First, we will take the partial derivative with respect to x:
∂g/∂x = -πsin(πx√y) * √y - 1/(x - y)log3^2
Now, we take the partial derivative of the result with respect to y to get d^2y/dx
dy:
∂(∂g/∂x)/∂y = (-π^2/2)cos(πx√y) * 1/√y - 1/(x - y)^2log3^2
This simplifies to:
d^2y/dx
dy = -π^2/2cos(2π) - 1/9 = -π^2/2 - 1/9
2. To calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v = (1, 2),
we first find the gradient of g at that point:
∇g(4, 1) = (-πsin(2π) / √2 + 1/3log3, -πsin(2π) / 4√2 - 1/3log3)
Now, we normalize the vector v:
||v|| = √5, v/||v|| = (1/√5, 2/√5)
The instantaneous rate of change of g at (4, 1, 2) in the direction of v is then given by:
∇g(4, 1)·v/||v|| = (-πsin(2π) / √2 + 1/3log3, -πsin(2π) / 4√2 - 1/3log3)·(1/√5, 2/√5) / √5
= -2π/√5 - log3/3√5
3. To find the direction in which g has the maximum directional derivative at (4, 1), we need to find the maximum value of the directional derivative.
The directional derivative of g at (4, 1) in the direction of a unit vector u is given by:
Dugu(4,1) = ∇g(4,1)·u
The maximum directional derivative is given by the magnitude of the gradient of g at (4, 1):
||∇g(4,1)|| = √(π^2/2 + 1/9)
The direction in which g has the maximum directional derivative is therefore given by the gradient vector ∇g(4,1) divided by its magnitude:
∇g(4,1)/||∇g(4,1)|| = (-πsin(2π) / √2 + 1/3log3, -πsin(2π) / 4√2 - 1/3log3) / √(π^2/2 + 1/9)

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Answer:

(0,3)

Step-by-step explanation:

Your answer would be ten times the ingredients it would take to make ONE pancake.

What kind of question is this?

The expression \left(\(4g^{3}h^{4}\right)^{3}\)) can be simplified to \(64g^{9}h^{12}.\)

To simplify this expression, we raise each term inside the parentheses to the power of 3. For 4\(g^{3}\), we have \(4^{3}\) = 64 and \((g^{3})^{3}\)= \(g^{9}\), so we get \(64g^{9}\). Similarly, for \(h^{4}\), we have \((h^{4})^{3} = h^{12}\).

Combining these simplified terms, we have \(64g^{9}h^{12}\) as the final simplified form of the expression \left\((4g^{3}h^{4}\)\right)^{3}.

In summary, raising the expression\(4g^{3}h^{4}\) to the power of 3 simplifies to \(64g^{9}h^{12}\).

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If a room requires 25.4 square yards of carpeting,  the area of the floor is  228.6 ft².

The measurement that characterizes the size of a two-dimensional region, shape, or planar lamina in the plane is its area. The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

1 yard = 3 feet

Squaring on both side

1²yard² = 3² feet²

1yard ² = 9 feet²

so 25.4 yard² will be

25.4 x 9 = 228.6 ft²

Thus, the area of the floor is 228.6 square feet.

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Answer:

48 gallons

Step-by-step explanation:

\( \frac{3}{4} = \frac{6}{8} \\ \frac{6}{8} - \frac{1}{8} = \frac{5}{8} \\ 5 \div 30 = 6 \\ 6 \times 8 = 48\)

The idea that two variables are unrelated in the population is referred to as statistical independence. Therefore, option d is correct.

Statistical independence is a term used in probability theory and statistics to describe the independence of two random variables. If two random variables are independent, the occurrence of one does not have any impact on the probability distribution of the other.Therefore, if we have two random variables X and Y, and they are statistically independent, the occurrence of X has no effect on the likelihood of Y occurring. In other words, the occurrence of X does not affect the occurrence of Y in any way.So, we can say that two variables are said to be statistically independent when the occurrence of one variable does not have any influence on the probability of occurrence of the other variable. We can also say that there is no association between the two variables.In conclusion, we can say that statistical independence is a fundamental concept in probability theory and statistics, which helps to understand the relationship between two random variables and the probability of their occurrence.

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The list of authors in the paper "Adv. Mater. 2017, 29, 1700311" includes Y. Yin, Y. Zhang, T. Gao, T. Yao, X. Zhang, J. Han, X. Wang, Z. Zhang, P. Xu, P. Zhang, X. Cao, B. Song, and S. Jin.

The reference you have provided appears to be a citation for a research paper or article. The format of the citation follows the standard APA style, which includes the authors' names, the title of the article, the name of the journal, the year of publication, the volume number, and the page number.

Here is the breakdown of the citation you provided:

Authors: Y. Yin, Y. Zhang, T. Gao, T. Yao, X. Zhang, J. Han, X. Wang, Z. Zhang, P. Xu, P. Zhang, X. Cao, B. Song, S. Jin

Title: "Adv. Mater."

Journal: Advanced Materials

Year: 2017

Volume: 29

Page: 1700311

Please note that while I can provide information about the citation, I don't have access to the full content of the article itself. If you have any specific questions related to the article or if there's anything else I can assist you with, please let me know.

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hope you understand and it's right. :)

All the best!

Answer:

x < 50

Step-by-step explanation:

No more means that it cannot equal 50. Therefore we can remove the 1st two options.

We now have the 3rd option and 4th option to choose from.

The 4th option is incorrect because the inequality is saying that a number is greater than 50.

∴ x < 50 is our answer.

Answer:

5

Step-by-step explanation:

Answer:

The final answer is \(x = 5\), which would be the second choice.

Step-by-step explanation:

Solve the equation:

\(-16x = -80\)

-Divide both sides by -16:

\(\frac{-16x}{-16} = \frac{-80}{-16}\)

\(x = 5\)

So, the final answer is \(x = 5\) .

Answer: x = 72

Step 1: Add 17 to both sides.

Step 2: Multiply both sides by 8/3.

the maximum volume of the swimming pool in cubic feet = 29744\(ft^{3}\)

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere.

Different shapes have different volumes. In 3D geometry, we have studied the various shapes and solids such as cubes, cuboids, cylinders, cones, etc., that are defined in three dimensions. For all these shapes, we are going to learn to find the volume.

Volume of a solid is measured in cubic units. For example, if dimensions are given in meters, then the volume will be in cubic meters. This is the standard unit of volume in the International System of Units (SI). Similarly, other units of volume are cubic centimeters, cubic feet, cubic inches, etc.

given that

the combined surface area of the floor of the pool and the four sides is $4800$ square feet.

each side (there are 4)   =  4   x w x w

and the bottom                     w x w              

 total surface area   5 w^2 = 4800

 w = depth = 30.984 ft

 volume= 30.984^3 = 29744.89\(ft^{3}\)

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