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Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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If -3 - 4i is one of its zeros, -3 +4i is the another one

(x + 3 + 4i)*(x + 3 - 4i) = x^2 + 6x + 25 is the polynomial that contains these zeros.

Therefore, f(x) = (x-1)*(x^2+6x+25)

distribute the 5 to whats inside the parentheses

simplify the common factors on both sides

bring all algebraic expressions to one side, and to the other all constant numbers

simplify both sides

divide both sides by 4

Answer:

yes it's rotated 180 degree angle

Answer:

If one bunch is two dollars even, then you could buy 10 bunches.

Step-by-step explanation:

20 divided by 2 = 10

So, you could buy ten bunches of grapes.

Answer:

the answer is 10 because 2 goes into 20 10 times.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Cause u do the mad

Answer:

I read it.. I don't know.. It's just saying we can't really cheat, it's not too bad.

Answer:

If x = 0, then the value of the polynomial = 0

Step-by-step explanation:

Given that ;

F(x ) = 5x - 4x^2

Substituting 0 for x we have;

F(0) = 5(0) -4(0)^2 = 0 + 0 = p

Answer:

A: m<1 = 79 degrees

B: m<1 = 61 degrees, m<2 = 151 degrees, m<3 = 12 degrees

Step-by-step explanation:

A: An exterior angle is equal to the sum of the two opposite interior angles. 27+52 in this case.

B: The sum of the measures of the interior angles in a triangle is 180 degrees.

Since we know the two angles in the right trinagle are 90 and 29 degrees, we add them and subract the sum from 180 which gives us 61 degrees.

Applying what we know from part A, 61 degrees+90 degrees = m<2.

And, since we know m<2 = 151 degrees, we add that and the 17 degrees to then subtract that sum from 180 to get the measure of angle 3 which is 12 degrees.

In mathematical modeling, some values are considered fixed and cannot vary without consequence. These values are often referred to as constants or parameters, and they represent physical or environmental properties that are assumed to be constant throughout the problem.

For example, in a mathematical model of the motion of a pendulum, the length of the pendulum, the mass of the weight, and the force of gravity are typically considered constants that cannot vary without consequence. If any of these values were to change, the motion of the pendulum would be affected, and the solution to the problem would be different.

Similarly, in a mathematical model of heat transfer, the thermal conductivity of the material, the heat source or sink, and the boundary conditions are typically considered constants that cannot vary without consequence. If any of these values were to change, the temperature distribution and heat transfer rate within the system would be affected, and the solution to the problem would be different.

The choice of which values to consider as constants or parameters depends on the specific problem being modeled and the assumptions made.

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The CIV of each customer is:
- Amber: 20 - Ashley: 20 - Joe: 20 - Lauren: 30 - Jung: 20 - Maria: 30 - Jose: 30

To calculate the CIV (customer lifetime value) of each customer, we can use the formula provided in the hint for Ashley and then apply the same formula for the rest of the customers:

CIVAshley = [CLVMaria + 0.5CLVJose] + [CIVMaria + 0.5CIVJose]

Plugging in the values given in the table:
CIVAshley = [10 + 0.5(15)] + [10 + 0.5(10)] = 20

Therefore, the CIV of Ashley is 20.

Using the same formula for the other customers:
CIVAmber = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVJoe = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVLauren = [25 + 0.5(10)] + [10 + 0.5(15)] = 30
CIVJung = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVMaria = [10 + 0.5(15)] + [20 + 0.5(10)] = 30
CIVJose = [10 + 0.5(15)] + [20 + 0.5(10)] = 30

Therefore, the CIV of each customer is:
- Amber: 20
- Ashley: 20
- Joe: 20
- Lauren: 30
- Jung: 20
- Maria: 30
- Jose: 30

Note that the CIV represents the total value a customer is expected to bring to a company over the course of their relationship, taking into account the frequency and monetary value of their purchases.

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Answer:

B, -4

Step-by step explanation

Step 1: Simplify both sides of the equation.

3(2x+8)=0

(3)(2x)+(3)(8)=0(Distribute)

6x+24=0

Step 2: Subtract 24 from both sides.

6x+24−24=0−24

6x=−24

Step 3: Divide both sides by 6.

6x/6= -24/6

Answer: x= -4

Answer: x(x-y)(x+2y)(x+y)^2

Step-by-step explanation:

You can factor out a (x+y)^2 and a x from both terms, to get:

x(x+y)^2 (x^2 + xy - 2y^2)

From here, you can realise that x^2 + xy - 2y^2 can be factored to (x-y)(x+2y).

Thus, making our final answer x(x-y)(x+2y)(x+y)^2.

Answer:

b

Step-by-step explanation:

400*.08

32.00

Answer:

its B

Step-by-step explanation:

Answer:

B po sure po ako

Step-by-step explanation:

keep. learning po

The general solution is \($$\begin{pmatrix}x \\ y\end{pmatrix} = c_1e^{(7+\sqrt{3})t}\begin{pmatrix}5 \\ 1+\sqrt{3}\end{pmatrix} + c_2e^{(7-\sqrt{3})t}\begin{pmatrix}5 \\ 1-\sqrt{3}\end{pmatrix}$$\)

We can write the system of differential equations in matrix form as:

\(\frac{d}{dt}\begin{pmatrix}x \\ y\end{pmatrix} = \begin{pmatrix}6 & -5 \\ -2 & 8\end{pmatrix}\begin{pmatrix}x \\ y\end{pmatrix}\)

To find the general solution, we first need to find the eigenvalues and eigenvectors of the coefficient matrix:

\($$\begin{pmatrix}6-\lambda & -5 \\ -2 & 8-\lambda\end{pmatrix} = 0$$\)

Solving the determinant, we get:

\($$(6-\lambda)(8-\lambda) - (-2)(-5) = 0$$\)

Simplifying, we get \($\lambda^2 - 14\lambda + 46 = 0$\). Using the quadratic formula, we get:

\($$\lambda = \frac{14 \pm \sqrt{(-14)^2 - 4(1)(46)}}{2} = 7 \pm \sqrt{3}$$\)

Thus, the eigenvalues are \(\lambda_1 = 7 + \sqrt{3}$ and $\lambda_2 = 7 - \sqrt{3}\)

To find the eigenvectors, we solve the system of equations\($(A - \lambda I)\mathbf{v} = \mathbf{0}$\) for each eigenvalue. For\($\lambda_1 = 7 + \sqrt{3}$\), we have:

\($$\begin{pmatrix}-1-\sqrt{3} & -5 \\ -2 & 1-\sqrt{3}\end{pmatrix}\begin{pmatrix}v_1 \\ v_2\end{pmatrix} = \begin{pmatrix}0 \\ 0\end{pmatrix}$$\)

Solving this system, we get the eigenvector \($\mathbf{v}_1 = \begin{pmatrix}5 \\ 1+\sqrt{3}\end{pmatrix}$\).

Similarly, for \($\lambda_2 = 7 - \sqrt{3}$\), we have:

\($$\begin{pmatrix}-1+\sqrt{3} & -5 \\ -2 & 1+\sqrt{3}\end{pmatrix}\begin{pmatrix}v_1 \\ v_2\end{pmatrix} = \begin{pmatrix}0 \\ 0\end{pmatrix}$$\)

Solving this system, we get the eigenvector\($\mathbf{v}_2 = \begin{pmatrix}5 \\ 1-\sqrt{3}\end{pmatrix}$.\)

Therefore, the general solution is:

\($$\begin{pmatrix}x \\ y\end{pmatrix} = c_1e^{(7+\sqrt{3})t}\begin{pmatrix}5 \\ 1+\sqrt{3}\end{pmatrix} + c_2e^{(7-\sqrt{3})t}\begin{pmatrix}5 \\ 1-\sqrt{3}\end{pmatrix}$$\)

where \($c_1$\) and \($c_2$\) are constants determined by the initial conditions.

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Answer: r=8in

Step-by-step explanation:

An equation that can be used to determine how much each cookie cost originally is ($13.32 + $7) / 16.

A coupon reduces the price of an item. Thus, the amount paid by Louis would be lower than the original price.

Original price = coupon + price paid

($13.32 + $7)

The cost per cookie, can be determined by dividing the original price by the total number of cookies bought.

($13.32 + $7) / 16

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Answer:

Step-by-step explanation:

Givens

Number of cookies = 16

Deduction =  7

Final Cost = 13.31

Equation

16c - 7 = 13.31

Solution

You are not asked for a solution but I'll put it here anyway.

16c - 7 = 13.32                      Add 7 to both sides

16c -7+7 = 13.32+ 7              Combine

16c = 20.32                          Divide by 16

16c/16 =  20.32/16                

c = 1.27

Answer:

x ≥ -7

Step-by-step explanation:

Divide both sides by 6

Then to graph it, you can make a number line

Answer:

Step-by-step explanation:

Solve 6x ≥ − 42for x by dividing both sides by 6.  We get:

x ≥ − 7

Now draw a vertical line (solid) through x = -7.

Finally, shade the area including and to the right of x = -7.

An exponential function has the form

Therefore, to find an exponential function that satisfies our condition, we need to find a and b.

From f(-2) = 1, we have

and from f(7) = 63, we have

Solving for a in equation (1) gives

substituting this value of a into equation (2) gives

With the value of b in hand, we now find the value of a:

Hence, the exponential function is

Evaluating the above function at x = 1 gives

which is our answer!

The main answer is that hidden surface removal can often result in faster computations than what your intuition may speed suggest. This can be demonstrated through a geometric example involving  in the plane.

In the context of a clean geometric example, let's consider a scenario where you are given n nonvertical lines in the plane, labeled l1, ..., ln. Each line is specified by the equation y = mx + b, where m represents the slope and b represents the y-intercept of the line. To achieve a basic speed-up in this scenario, you can follow these steps:
Sort the lines in ascending order based on their slopes (m values). This sorting can be done using a sorting algorithm such as quicksort or mergesort. Iterate through the sorted lines from left to right. For each line, check if it intersects with any of the previously processed lines.

This can be done by comparing the y-intercept values (b values) of the current line with the y-coordinate of the previously processed lines at the intersection point.  If the current line intersects with any of the previously processed lines, it means that the current line is hidden by the intersecting lines. Therefore, you can skip further processing of the current line.If the current line does not intersect with any of the previously processed lines, it is a visible line. You can proceed with any further calculations or rendering based on this information. By using this approach, you can optimize the computation process and achieve faster results compared to intuitive expectations. The key is to eliminate the unnecessary processing of hidden surfaces, thereby reducing computational complexity.

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According to the given mean and standard deviation values, we find out that the proportion of cold sufferers that experience symptoms for more than 8 days is equal to 0.129 or 12.9%.

It is given to us that -

Amount of time a person experiences cold virus symptoms are normally distributed with

a mean of 7.5 days

and, a standard deviation of 1.5 days

We have to find out the proportion of cold sufferers that experience symptoms for more than 8 days.

Now, from the given information, we have

Mean = μ = 7.5

Standard deviation = σ = 1.5

and, X = 8

Now, the proportion of cold sufferers that experience symptoms for more than 8 days can be represented as -

P(X > 8)

= P{[(X-μ)/σ] > [(8-7.5)/1.5]}

=P(Z>0.33)

Looking at the z-score values, we find out that

P(Z>0.33) = 0.129 = 12.9%

Thus, from the given mean and standard deviation values, we find out that the proportion of cold sufferers that experience symptoms for more than 8 days is equal to 0.129 or 12.9%.

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Answer:

theres no picture u didnt put it

Answer: theres no picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. sin 30 = x/16

   x= 16 sin 30

   x = 8

2. cos 60 = 22/x

   x = 22/cos 60

   x = 44

3. tan 45 = x/19

  x = 19 tan 45

   x= 19

4. tan 16 = x/13

   x = 13 tan 16

   x= 3.73

5. sin 54 = x/45

  x = 45 sin 54

  x= 36.41

6. sin 35 = z/23

 z =   23 sin 35

  z = 13.19

Answer:

1) The measure of the third angle is 60°

2) The length of the opposite side to the angle 30° is 1 cm

3) The length of the opposite side to the third angle 60° is approximately 1.732 cm

Step-by-step explanation:

1) The given parameters are;

The known angle of a right triangle = 30°

The length of the hypotenuse = 2 cm

Given that the triangle = A right triangle, with one of the interior angles = 90°, we have;

The measure of the third angle = 180° - 90° - 30° = 60°

The measure of the third angle = 60°

2) We have that sin(30°) = 0.5 = (The length of the opposite side to the angle 30°)/(The length of the hypotenuse side)

0.5 = (The length of the opposite side to the angle 30°)/(2 cm)

∴ The length of the opposite side to the angle 30° = 2 cm × 0.5 = 1 cm

The length of the opposite side to the angle 30° = 1 cm

3) Similarly, the length of the opposite side to the third angle 60° = sin(60°) × (The length of the hypotenuse side)

∴ The length of the opposite side to the third angle 60° = (√3)/2 × 2 cm = √3 cm

The length of the opposite side to the third angle 60°  = √3 cm ≈ 1.732 cm

There are 12 cars and 0 bicycles in the parking lot.

Let's assume the number of trucks in the parking lot is T.

Given that there are four times as many cars as trucks, the number of cars would be 4T.

We also know that each car and truck has 4 tires, while each motorcycle and bicycle has 2 tires. So, the total number of car and truck tires would be 4 * (4T + T) = 20T.

The total number of motorcycles and bicycles would be 66 - (4T + 4T + T) = 66 - 9T.

The total number of tires in the parking lot is given as 252.

Therefore, we can set up the equation: 20T + 2 * (66 - 9T) = 252.

Simplifying the equation, we get: 20T + 132 - 18T = 252.

Combining like terms, we have: 2T + 132 = 252.

Subtracting 132 from both sides, we get: 2T = 120.

Dividing both sides by 2, we find: T = 60.

So, there are 60 trucks in the parking lot.

Substituting T = 60 into the equation for cars, we find: 4T = 4 * 60 = 240.

Thus, there are 240 cars in the parking lot.

To find the number of bicycles, we substitute T = 60 into the equation for motorcycles and bicycles: 66 - 9T = 66 - 9 * 60 = 66 - 540 = -474.

Since the number of bicycles cannot be negative, we conclude that there are 0 bicycles in the parking lot.

Therefore, the final answer is that there are 12 cars and 0 bicycles in the parking lot.

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Answer:

The formula of pi is approximately 3.14 2×3.14

Answer: -2

Step-by-step explanation:

-Distribute : 5+5n=-5

-Set both sides : 5n=-10

-Divide : -10/5n = -2

Answer:

379.94 ft

Step-by-step explanation:

A=3.14x R^2