Write the equation of a quadratic with x-intercepts at (-1,0) and (4,0)

it's gain because 10,500 is bigger than 10,000

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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the greater fraction is 39 ,  To compare 6/9 and 3/4, we can convert 3/4 to a fraction with a denominator of 9:

what is  denominator ?

In a fraction, the denominator is the bottom number that represents the total number of equal parts into which a whole is divided or the total number of parts in the fraction. For example, in the fraction 3/5, the denominator is 5

In the given question,

A. 46 or 310:

To compare 46 and 310, we can use the benchmark fraction 1/2.

46 is less than 1/2 (which equals 50/100) and 310 is greater than 1/2.

Therefore, the greater fraction is 310.

B. 27 or 58:

To compare 27 and 58, we can use the benchmark fraction 1/4.

27 is greater than 1/4 (which equals 25/100) and 58 is greater than 1/2.

Therefore, the greater fraction is 58.

C. 35 or 39:

To compare 35 and 39, we can use the benchmark fraction 1/2.

35 is less than 1/2 (which equals 50/100) and 39 is greater than 1/2.

Therefore, the greater fraction is 39.

a. 45 or 910:

To compare 45 and 910, we can convert them to a common denominator of 90:

45/1 = 45/1 x 10/10 = 450/10

910/1 = 910/1 x 9/9 = 8190/9

Now we can compare 450/90 and 8190/90:

450/90 = 5/1

8190/90 = 910/1

Therefore, the greater fraction is 910.

b. 57 or 814:

To compare 57 and 814, we can convert them to a common denominator of 28:

57/1 = 57/1 x 4/4 = 228/4

814/1 = 814/1 x 1/1 = 814/28

Now we can compare 228/28 and 814/28:

228/28 = 57/7

814/28 = 29/1

Therefore, the greater fraction is 814.

c. 312 or 13:

To compare 312 and 13, we can convert 13 to a fraction with a denominator of 12:

13/1 = 13/1 x 12/12 = 156/12

Now we can compare 312/1 and 156/12:

312/1 = 312/1 x 12/12 = 3744/12

156/12 = 13/1

Therefore, the greater fraction is 312.

a. 5/6 : 3/4 :

To find equivalent fractions with a common denominator, we can use the product of the denominators:

5/6 = 5/6 x 4/4 = 20/24

3/4 = 3/4 x 6/6 = 18/24

20/24 > 18/24

Therefore, 5/6 > 3/4.

b. 4/7 : 2/3 :

To find equivalent fractions with a common denominator, we can use the product of the denominators:

4/7 = 4/7 x 3/3 = 12/21

2/3 = 2/3 x 7/7 = 14/21

12/21 < 14/21

Therefore, 2/3 > 4/7.

a. 6/9 or 3/4:

To compare 6/9 and 3/4, we can convert 3/4 to a fraction with a denominator of 9:

3/4 = 3

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Answer:

I think is "Became 3 times as large"

Step-by-step explanation:

Answer:Use the quadratic 'Complete the Square' method

Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12

Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.

#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4

(x - 3)^2 + (y -2)^2 = 25

Circle centered at (3,2) with radius = 5

One possible set of dimensions for the aquarium is approximately width = 6.75 meters, length = 13.5 meters, and height = 8.5 meters.

Let's denote the width of the aquarium as 'w'.

According to the given information:

The length is twice the width, so the length = 2w.

The height is 5m shorter than the length, so the height = (2w - 5).

The volume of a rectangular prism is given by the formula V = length * width * height. In this case, we have:

V = (2w) * w * (2w - 5) = 504

Expanding the equation:

2w^2 * (2w - 5) = 504

Simplifying further:

4w^3 - 10w^2 = 504

Rearranging the equation:

4w^3 - 10w^2 - 504 = 0

To find the possible dimensions of the aquarium, we need to solve this cubic equation. However, solving cubic equations analytically can be complex. One approach is to use numerical methods or approximation techniques to find the solutions.

Using numerical methods or a calculator, we can find that one possible dimension of the aquarium is w ≈ 6.75 meters. Using this value, we can calculate the length and height as follows:

Length = 2w ≈ 13.5 meters

Height = 2w - 5 ≈ 8.5 meters

Therefore, one possible set of dimensions for the aquarium is width ≈ 6.75 meters, length ≈ 13.5 meters, and height ≈ 8.5 meters.

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The total number of laps Sarah should run today is given by the equation A = 16 laps

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.

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 data ,

Let the number of laps be represented as A

Now , the equation will be

The total distance ran by Sarah yesterday = 3,682 m

The distance of one lap = 263 m

So , the number of laps ran by Sarah yesterday = total distance ran by Sarah yesterday / distance of one lap

Substituting the values in the equation , we get

The number of laps ran by Sarah yesterday = 3682 / 263

The number of laps ran by Sarah yesterday = 14 laps

Now ,

The distance Sarah wants to run today = 4,222 m

So , the number of laps Sarah should run today A = distance Sarah wants to run today / distance of one lap

Substituting the values in the equation , we get

The number of laps Sarah should run today A = 4,222 / 263

The number of laps Sarah should run today A = 16.05 laps

The number of laps Sarah should run today A = 16 laps

Therefore , the value of A is 16 laps

Hence , the number of laps is 16 laps

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The influence of all these risks are explained below in the sequential manner.

The DREAD risk methodology is a quantitative approach for evaluating the risk posed by security vulnerabilities. This methodology assigns a numerical value to each vulnerability based on the likelihood of it being exploited and the potential impact of an exploit. The DREAD methodology is based on the following five factors:

Damage: The extent of harm that an attack could cause.

Reproducibility: The ease with which an attack can be replicated.

Exploitability: The level of effort required to launch an attack.

Affected users: The number of people who could be impacted by the attack.

Discoverability: The ease with which the threat can be discovered.

To calculate the risk value, the DREAD formula multiplies the sum of the damage and affected users by the sum of the reproducibility, exploitability, and discoverability. The resulting risk value is then compared to predefined thresholds to determine the risk level.

This methodology provides a systematic and objective way of evaluating risk, which can help organizations prioritize their security efforts and make informed decisions about which vulnerabilities to address first. However, like any methodology, the DREAD approach has its limitations, and it is important to consider other factors, such as the likelihood of an attack, when evaluating risk.

Therefore, The influence of all these risks is explained above in a sequential manner.

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Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

Answer:

1.$50,000.00 ÷ 1,000 = $50.00

2.$49.25

3.Below par, because the par value is $50.00

4.$5.00 × 20 = $100.00

5. the Picture

6. a. I

b. R

c. S

d. S

e. I

f. I

g. S

h. S

Step-by-step explanation:

 By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively

To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.

1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.

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The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.

.,........................

Answer:

F+95C+32=0 & F−32=95C

Step-by-step explanation:

f=95c+32

Answer:

1st and the last one

Step-by-step explanation:

Answer:

3 no.

ans only

-0,2

-3,1

-4,3

4no.

3,2

1,5

-2,1

Step-by-step explanation:

we should use formula of y axis. (-x,y).

Given:

The dotted boundary line passes through the points (-3,-8), (1,-2) and (9,10).

Above line is shaded.

To find:

The inequality for the given graph.

Solution:

Consider any two points on the line. Let the two points are (1,-2) and (9,10). So, the equation of the line is:

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-(-2)=\dfrac{10-(-2)}{9-1}(x-1)\)

\(y+2=\dfrac{10+2}{8}(x-1)\)

\(y+2=\dfrac{12}{8}(x-1)\)

\(y+2=\dfrac{3}{2}(x-1)\)

Multiply both sides by 2.

\(2(y+2)=3(x-1)\)

\(2y+4=3x-3\)

\(2y-3x=-3-4\)

\(-3x+2y=-7\)

Above line is shaded and the boundary line is a dotted line. So, the sign of inequality must be >.

\(-3x+2y>-7\)

This inequality is not in the equations. So, multiply both sides by -1 and change the inequality sign.

\((-3x+2y)(-1)<-7(-1)\)

\(3x-2y<7\)

Therefore, the correct option is D.

Answer:

12:1

Step-by-step explanation:

each pack contains 12 eggs

108/9 = 12

Hope this helps

Answer:

Rational number . . . . . .

Answer:

Median refers to the mid-value of a group. Simplistically, it refers to the number in the middle of a fixed given quantity group.

Range refers to the difference between the smallest value and the largest value in the quantity group.

In this case, the treatment group scores have a median of 10.9, which means its mid-value is 10.9. The range is 2.1, which means the difference between the smallest and the largest value is 2.1 in the set of data.

The no-treatment group scores have a median of 2.7, which means its mid-value is 2.7. The range is 0.8, which means the difference between the smallest and the largest value is 0.8 in the set of data.

Answer:

y = | 2(x + 1)  - 1

Step-by-step explanation:

Given f(x) then f(x + c) represents a horizontal translation of f(x)

• If c > 0 then shift to the left of c units

• If c < 0 then shift to the right of c units

Here the shift is 1 unit to the left , thus

y = | 2(x + 1) ] - 1

Answer:

6in lenght

Step-by-step explanation:

cause 30in square = 5 multiplied by 6 = 30

To find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property. Therefore, the function is f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6 .

In summary, to find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property to obtain the factors of the polynomial, and then multiply them together to get the polynomial function.

For example, suppose we want to find a polynomial function with integer coefficients that has zeros at -2, 1, and 3. We can start by using the factor theorem to obtain the factors of the polynomial:

(x + 2)(x - 1)(x - 3)

We can then multiply these factors together to obtain the polynomial function:

f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6

This is a polynomial function with integer coefficients that has zeros at -2, 1, and 3. Note that we can also check this by using the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero. We can plug in each of the zeros (-2, 1, and 3) into the polynomial function and verify that the result is zero, which confirms that these are indeed the zeros of the polynomial.

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Answer:

\(Area = 96\)

Step-by-step explanation:

Given

\(x = 9\)   \(y =3\)    \(h = 8\)

See attachment for rhombus

Required

Determine the area

From the attached rhombus:

We have

(1) Triangle

\(Base = x;\ \ Height = h\)

The area is:

\(Area = 0.5 * Base * Height\)

\(A_1= 0.5 * x*h\)

\(A_1 = 0.5 * 9 *8\)

\(A_1 = 36\)

(2) Triangle

\(Base = y;\ \ Height = h\)

The area is:

\(Area = 0.5 * Base * Height\)

\(A_2 =0.5 * y * h\)

\(A_2 =0.5 * 3 * 8\)

\(A_2 =12\)

(3) Rectangle

\(Area = Length * Width\)

\(Length =h; Width = x - y\)

because all sides are equal, so the remaining side is x - y

So:

\(A_3 = h * (x - y)\)

\(A_3 = 8 * (9 - 3)\)

\(A_3 = 8 * 6\)

\(A_3 = 48\)

So, the area is:

\(Area = A_1 + A_2 + A_3\)

\(Area = 36 + 12 + 48\)

\(Area = 96\)

Answer: area 72

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

\(\frac{1088}{3400}\)=\(\frac{x}{100}\)

(1088)(100)=(3400)(x)

108800=3400x

x=32

32%

The percent of the budget spent on housing is 31.76%.

What is percentage?

Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.

Given that, The riddle family income is 3400 per month.

They spend 1088 per month on housing.

We know the formula for percentage which is;

Percentage = (given value/whole value)*100,

Percentage =  (1080/3400)*100

Percentage = 31.76

Hence, The percentage is 31.76%.

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Answer:$20.23 initial fee

Step-by-step explanation:

7.75 for 1 hour +7.75 for 1 hour =15.50

subtract 15.50 from the total cost of $35.73

The required mean of the values 20 and 40 is 30.

The total of all numbers multiplied by the total number of values yields the mean (also known as the arithmetic mean, which varies from the scaling factor) of a dataset.

The term "average" is frequently used to describe this central trend measurement.

So, we have the values:

20, 40

Mean formula: Sum of terms / Number of terms

Obtain mean using the formula as follows:

Mean: Sum of terms / Number of terms

Mean: 60/2

Mean: 30

Therefore, the required mean of the values 20 and 40 is 30.

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Answer:

4/11 or 0.36

Step-by-step explanation:

In linear programming, solutions that satisfy all of the constraints simultaneously are referred to as feasible solutions. These feasible solutions represent all the possible combinations of values for the decision variables that satisfy the constraints of the problem.

The main objective of linear programming is to find the optimal feasible solution that maximizes or minimizes a given objective function. The objective function represents the goal that needs to be achieved, such as maximizing profit, minimizing cost, or maximizing efficiency.

To find the optimal feasible solution, a linear programming algorithm is used to analyze all the possible combinations of decision variables and evaluate their objective function values. The algorithm starts by identifying the feasible region, which is the area that satisfies all the constraints.

Then, the algorithm evaluates the objective function at each vertex or corner of the feasible region to find the optimal feasible solution. The optimal feasible solution is the one that provides the best objective function value among all the feasible solutions.

Therefore, In linear programming, solutions that satisfy all of the constraints simultaneously are referred to as: linear programming

In summary, linear programming involves finding feasible solutions that satisfy all the constraints of the problem, and then selecting the optimal feasible solution that provides the best objective function value.

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Answer: x = 4; x = 5

Step-by-step explanation:

The directions specify to solve by factoring

x^2 - 9x + 20 = 0

To factor, find two numbers that add to -9 and multiply to 20

-5 and -4 work

-5 + (-4) = -9

-5 * -4 = 20

(x - 4)(x - 5) = 0

x = 4, x =5

Answer:

33.4%= 33.4 ÷100×9000= 3006.0