Please help!
Write the equation that describes the simple harmonic motion of a particle moving uniformly around a circle of radius 7 units, with angular speed 2 radians per second.

The solutions of the quadratic equation x² - 6x +9=11 is found to be            x = \(\sqrt{11} + 3\) or   \(\sqrt{11}-3\). So, Option B and D are correct.

A quadratic equation is ax² + bx + c = 0 .  Another name for the terms a, b, and c is quadratic coefficients.

The values of the unknown variable x that fulfill the quadratic equation are the solutions to the problem. Quadratic equations' roots are known as these solutions.

Given equation:  x² - 6x +9=11

Subtract 11 on both sides

x² - 6x +9 +(-11) =11 - 11

x² - 6x - 2 = 0

Solving using the quadratic formula,

x = \(\frac{-b + \sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b - \sqrt{b^{2}-4ac } }{2a}\)

x = \(\frac{6 + \sqrt{-6^{2}-4(-2) } }{2}\)  or  \(\frac{6 - \sqrt{-6^{2}-4(-2) } }{2}\)

x = \(\sqrt{11} + 3\) or   \(\sqrt{11}-3\)

Therefore, the solutions of the quadratic equation x² - 6x +9=11 is found to be x = \(\sqrt{11} + 3\) or   \(\sqrt{11}-3\). So, Option B and D are correct.

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y - 1/z = 1   ==>   y = 1 + 1/z

z - 1/x = 1   ==>   z = 1 + 1/x

==>   y = 1 + 1/(1 + 1/x) = 1 + x/(x + 1) = (2x + 1)/(x + 1)

x - 1/y = x - (x + 1)/(2x + 1) = (2x ² - 1)/(2x + 1) = 1

==>   2x ² - 1 = 2x + 1

==>   2x ² - 2x - 2 = 0

==>   x ² - x - 1 = 0

==>   x = (1 ± √5)/2

If you start solving for z, then for x, then for y, you would get the same equation as above (with y in place of x), and the same thing happens if you solve for x, then y, then z. So it turns out that x = y = z.

The best measure of central tendency to determine the center of the distribution of teacher salaries is the mean.

The mean is the average of all values in a set and is calculated by adding up all the values and dividing them by the number of values. This measure is particularly useful for data that follows a normal distribution, as teacher salaries are likely to do.

The mean is the most commonly used measure of central tendency and is a good indicator of the center of the data set. It is also relatively easy to calculate. So mean will be the measure of the central tendency to determine the center of the distribution of teacher salaries.

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Answer:

The answer is c.

I just took the test and got it right

Using Standard deviation, approximately, 95% of the area under the normal curve falls between 2 standard deviations.

The area under a normal curve represents the total probability of an event occurring for a normally distributed random variable.

A normal distribution is a bell-shaped curve that describes a continuous probability distribution of a variable, where most values cluster around the mean, and the curve tapers off symmetrically on both sides.

The total area under the normal curve is equal to 1 or 100%, which means that the probability of all possible outcomes adds up to 1 or 100%.

The Empirical Rule states that:

Hence,

Approximately, 95% of the area under the normal curve falls between 2 standard deviations.

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Given the expression: (3.2+0.2)2+12​

To get the value of the expression, do the following:

1. add 3.2 and 0.2

2. multiply 3.4 by 2

3. add 6.8 and 12

So, the value of the expression = 18.8

61 matchsticks need to make 20 squares.

Given,

From the figure,

Matchsticks are used to make the pattern.

To make these 4 squares, you need 13 matchsticks.

To find the how many matchsticks do you need to make 20 squares?

Now, According to the question:

Let the need matchsticks be 'n'

The number of the squares to make 1 square , you need 4 matchsticks,

and when you need to add one square, you need three more matchsticks .

So , we have to make  n no. of squares you need

4 + 3(n - 1) matchsticks     (n \(\geq\) )

= 4 + 3n - 3

= 1 + 3n

When, n = 20

1 + 3 x 20

= 61

Hence, 61 matchsticks need to make 20 squares.

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The sum of 8.8 and 5.5 is 14.3

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

To find the sum of 8.8 and 5.5 without using pen and pencil:

First, we break the term in simple manner.

8.8 = 8 + 0.3 + 0.5

And 5.5 = 5 + 0.5

And now adding the terms one by one,

0.5 + 0.5 = 1.0

0.3 = 0.3

8 + 5 = 13

Addition,

13 + 1 + 0.3 = 14.3

Therefore, the value is 14.3

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Answer:Student A

Step-by-step explanation:

1. -(3)

2.-19

20

Using the normal distribution, the z-scores that separate the middle 59% of the distribution from the area in the tails of the standard normal distribution are given as follows:

Z = ± 0.82.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is given by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The normal distribution is symmetric, hence the bounds of the middle 59% of observations are as follows:

The z-scores are as follows:

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The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)

Let x be the height of the Monument. Then we have:

x / 285 = 5 / 2.5

Cross-multiplying, we get:

2.5x = 5 * 285

Simplifying, we get:

x = 570

Therefore, the Monument is 570 feet tall.

To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

Set up a proportion using the height and shadow length of the tourist and the monument:

(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)

Let x represent the height of the monument. Then:

x / 285 = 5 / 2.5

Now, solve for x:

x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet

The height of the monument is 570 feet.

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Answer:

Step-by-step explanation:

from the graph we konw the ∠ABD=∠DBC, because ∠DBC=20, so ∠ABD=20

We will have that the following will be the equivalent;

The answer of the question based on population growth is , the estimated population after one year is approximately 34 deer.

To estimate the population after one year, we can use the formula for exponential growth:

P = P0 * (1 + r)^t.

P0 represents the initial population (20 deer in this case), r represents the growth rate (70% or 0.7 as a decimal), and t represents the time period in years (1 year in this case).

Using these values, we can calculate the population after one year as follows:

P = 20 * (1 + 0.7)¹
P = 20 * 1.7
P ≈ 34

Therefore, the estimated population after one year is approximately 34 deer.

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Step-by-step explanation:

z-score is the number of standard deviations away from the mean

 45  is  -2  away from the mean of 47

    -2 / 3.5  = - . 571  

Simplify the following;

We'll begin by collecting all like terms as follows;

ANSWER:

5c + 8d

The values of probabilities P(support children) and P(children | support) are 0.755 and  0.623 respectively.

To determine the probability P(support children) that a randomly selected respondent supports the levy given that he or she has children attending school in the district, we can follow these steps:

1. Find the number of respondents with children attending school in the district who support the levy. In this case, it is 71.

2. Find the total number of respondents with children attending school in the district.

This is 71 (support levy) + 23 (opposed to levy) = 94.

3. Divide the number of respondents supporting the levy with children attending school by the total number of respondents with children attending school:

P(support children) = 71/94 = 0.755

To determine the probability P(children | support) that a randomly selected respondent has children attending school in the district given that he or she supports the levy, follow these steps:

1. Find the number of respondents supporting the levy who have children attending school in the district.

This is 71 (as calculated earlier).

2. Find the total number of respondents who support the levy.

This is 71 (have children attending school) + 43 (have no children attending school) = 114.

3. Divide the number of respondents with children attending school who support the levy by the total number of respondents who support the levy:

P(children | support) = 71/114 = 0.623



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Applying the definition of an angle bisector, the measure of angle BAC is: 76°.

When a line segment divides an angle into two equal halves, the line segment is referred to as an angle bisector, and it bisects the angle to form two congruent angles.

AP is said to bisect angel BAC. This means that AP is an angle bisector of angle BAC, which divides angle BAC into congruent angles which are, angle 1 and angle 2.

We are given the following measurements:

m∠2 = 38x

m∠BAC = 75x + 1

Therefore, based on the definition of an angle bisector, we have:

2(m∠2) = m∠BAC

Substitute

2(38x) = 75x + 1

76x = 75x + 1

Subtract 75x from each side of the equation

76x - 75x = 75x + 1 - 75x

x = 1

m∠BAC = 75x + 1

Plug in the value of x

m∠BAC = 75(1) + 1

m∠BAC = 75 + 1

m∠BAC = 76°

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Recall the formula for compound interest

Using the formula, rearrange the equation and solve in terms of time t

Substitute the given values and we get

A = $2700, P = $1100, n = 12 (12 months in a year), r = 0.045 (from 4.5%)

Rounding the answer to the nearest tenth, the time it takes is 20 years.

The provided R code uses the round function to display num1 rounded to two decimal places and num2 rounded to three decimal places.

num1 <- 0.956786

num2 <- 7.8345901

num1_rounded <- round(num1, 2)

num2_rounded <- round(num2, 3)

print(num1_rounded)

print(num2_rounded)

The R code assigns the given values, num1 and num2, to their respective variables. The round function is then applied to num1 with a second argument of 2, which specifies the number of decimal places to round to. Similarly, num2 is rounded using the round function with a second argument of 3. The resulting rounded values are stored in num1_rounded and num2_rounded variables. Finally, the print function is used to display the rounded values on the console. This approach ensures that num1 is displayed with two decimal places and num2 is displayed with three decimal places.

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Answer:

A

Step-by-step explanation:

Answer:

Sendiks.

Step-by-step explanation:

Sendiks- 6 ÷ 3.80= $1.58 per can

Sam's Club- 12÷6.90= $1.74 per can

Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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Answer:

depends on the car

Step-by-step explanation:

Answer:

It depends on how many sits the car have

Step-by-step explanation:

Answer:

1.  $76,000

2. $58,000 + $2,000 * t

Step-by-step explanation:

2. Now, you might be questioning why we are going with the second question first, but this will be useful as it sets up our equation to make the first question easier. So, we will start with Luke's base salary of $58,000. Then, we will add $2,000 for every year he works at the company. If he works for t years and gains $2,000 on his salary per year, our equation will look like this:

$58,000 + $2,000 * t

That is the equation.

1. Now, using our previous equation, $58,000 + $2,000 * t, we will substitute 9 in for t. We get:

$58,000 + $2,000 * 9

Then, we simplify, giving us:

$58,000 + $18,000 = $76,000

T is the linear transformation described by T(w,z) in L(C2). This indicates that the linear transformation T changes two-dimensional vectors of the type (w,z) to (-z,w).

To get T's eigenvalues, solve the equation T(v) = v, where is the eigenvalue and v is the eigenvector. By solving this equation, we discover that T's eigenvalues are λ1 = -1 and λ2 = 1.

For each eigenvalue, the associated eigenspaces are the subspaces of C2 that are spanned by the eigenvectors of T. The eigenspace is the subspace covered by the eigenvector λ1= -1 is (1,0). The eigenspace is the subspace spanned by the eigenvector λ2= 1 is (0,1).

As a result, the subspaces covered by (1,0) and (1,1) are the generalized eigenspaces corresponding to the different eigenvalues of T. (0,1).

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Answer:

x=-5 y=6

Step-by-step explanation:

Multiply the first by 3 and the second by -4

Then add them. Y will be 6

Put 6 for y in the first one and youll find x=-5

Answer:

The second graph

Step-by-step explanation:

hope it help

true (I don't know if this is the answer but it would be my guess)