find the value of each trigonometric ratio part 2​

Answer:

D

Step-by-step explanation:

24+52=76

76:150

38:75

Number of students need to be sampled = 610

A study to determine the true average number of alcoholic drinks consumed by Greek students is conducted.

Standard Deviation, σ = 6.3

Margin Error of population mean, E = 0.5

Probability = 95% = 0.95

The p-value corresponding to 0.95 probability = (1+0.95)/2 = 0.975

The z-score corresponding to this p-value = 1.96 [from the z-tables]

Now, The margin error, E = zσ/√n, where n is the sample size

⇒ n = (zσ/E)²

⇒ n = (1.96 x 6.3/0.5)²

⇒ n ≈ 610

Hence 610 students need to be sampled.

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Answer: x=6

Step-by-step explanation:

TR=RA since TR and RA are congruent

3x+5=x+17

3x+5-5=x+17-5

3x=x+12

3x-x=x-x+12

2x=12

2x/2=12/2

x=6

The nitrogen level that gives the best yield function is where the optimal nitrogen level is 6 units.

To find the nitrogen level that gives the best yield, we need to find the maximum value of the yield function Y. To do this, we can take the derivative of Y with respect to N, set it equal to zero, and solve for N.

dy/dN = k(36 - N²)/(36 + N²)²

Setting dy/dN equal to zero, we get:

0 = k(36 - N²)/(36 + N²)²

Solving for N, we get:

N = ±6

Since N has to be a positive value, the optimal nitrogen level is N = 6 units.

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Answer: The fundamental theorem of algebra states that the equation 2x^2+8x+14=0 has at least one complex root, which means that there are numbers that can be plugged into x that make the equation equal to zero. ✅

PLEASEEEE GIVE BRANLIEST

Step-by-step explanation:

The fundamental theorem of algebra states that for any non-constant polynomial equation with real or complex coefficients, there is at least one complex root (or solution).

In the case of the equation 2x^2+8x+14=0, the theorem guarantees that this equation has at least one complex root, which means that there are numbers that can be plugged into x that will make the equation equal to zero.

So, the fundamental theorem of algebra guarantees that for the equation 2x^2+8x+14=0, there exists at least one complex solution that makes the equation true. In this case, the solutions are x = -1+i and x = -1-i ✅

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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The solution of the system of equations is (x, y) = (1/3, 1/3).

To solve the given system of equations, we can use any of the following three methods; the substitution method, the elimination method (also known as the addition/subtraction method), and the graphical method. Below, we will solve it using each of these methods.

1. Substitution method:

We will use the substitution method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2) From equation (1), we have

Y + 2x = 3y ...(3)Now substitute equation (3) into equation

(2)2y = 3x - 2 ...(2)Y + 2x = 3y ...(3)2(3y - 2x) = 3x - 2

Multiplying both sides by 2:

6y - 4x = 3x - 2 Grouping like terms:

6y - 3x = 2 Adding 3x to both sides:

6y = 3x + 2Dividing both sides by 6:

y = (3/6)x + 2/6y = (1/2)x + 1/3

Therefore, the solution of the system of equations is (x, y) = (1/3, 1/3).

2. Elimination method:

We will use the elimination method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2)Multiplying equation (1) by 2,

we get;2Y = 6y - 4x ...(3)Multiplying equation (2)

by -3, we get;-6y = -9x + 6 ...(4) Adding equations (3) and (4),

we get;-4x = -9x + 8

Simplifying;-4x + 9x = 8x = -8x = -2

Therefore, we found the value of x, which is -2.

Substitute the value of x in either equation (1) or (2);

If we substitute x = -2 in equation (1), we get;

Y = 3y - 2(-2)Y = 3y + 4Y - 3y = 4Y = 4/2Y = 2Substitute the value of y in equation (1)

;Y = 3y - 2xY = 3(2) - 2(-2)Y = 6 + 4Y = 10

Therefore, the solution of the system of equations is (x, y) = (-2, 10/2).3.

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Answer:

6ft by 6 ft

Step-by-step explanation:

area of a square =length*width whereas they are supposed to be of the same measurements

D. 20 ≤ x ≤ 50. is the inequality that represents the scenario.

inequality is a statement of an order relationship consisting, greater than, greater than or equal to, less than, or less than or equal, between two numbers or algebraic expressions.

From the given question;

On combining both statement, we will obtain an as follows;

20 ≤ x ≤ 50

Thus, the option D (20 ≤ x ≤ 50) is the inequality that represents the scenario.

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The complete question is below here:

A. 20 ≥ x ≥ 50

B. 20 < x < 50

C. 20 > x > 50

D. 20 ≤ x ≤ 50

Answer:

113.0

Step-by-step explanation:

:)

The volume of a sphere with a radius of 3 cm is  14.3 cm³.

In geometry, a sphere is a three-dimensional solid figure, which is round in shape.

The surface area is 4πr².

The volume is (4/3)πr³.

The diameter is 2×radius of the sphere.

We know a glope is in the form of a sphere.

We also know that the volume of a sphere is (4/3)πr³.

Therefore, The volume of a sphere with a diameter 3 cm Or a radius of

(3/2) cm has a volume,

= (4/3)π(3/2)³ cm³.

= 14.3 cm³.

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Answer:

Step-by-step explanation:

$0.11

per ounce

1.32/12=0.11!!

Answer:   1.21

Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so

0.11 x 11=1.21 ounces            Good luck!

i. weekly receipts at a clothing boutique

ii. monthly demand for an automotive part

Time series data refers to information collected and recorded at regular intervals over a specific period. In the case of i. weekly receipts at a clothing boutique and ii. monthly demand for an automotive part, both data sets are examples of time series data.

Time series data consists of observations recorded over regular intervals, allowing for the analysis of patterns and trends over time. In i. weekly receipts at a clothing boutique, the data is collected on a weekly basis, providing insights into the boutique's revenue fluctuations over different weeks. Similarly, ii. monthly demand for an automotive part captures the demand for the part on a monthly basis, enabling analysis of monthly variations and seasonal patterns.

On the other hand, iii. quarterly sales of automobiles do not fall under time series data. While it represents sales data, the intervals between measurements are not consistent enough to qualify as time series. Quarterly intervals are less frequent and may not capture shorter-term trends or variations as effectively as weekly or monthly intervals.

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I think it's -40 but don't put that answer k might be wrong

29-3f+2g

=29-3(4)+2(3)

=29-12+6

=23

If Jamal wants to become a millionaire, then Jamal must wait for 19 years if he invests $22,108.44 at 21% today, Jamal must wait for 18 years if he invests $45,104.11 at 16% today, Jamal must wait for 22 years if he invests $152,814.56 at 8% today, and Jamal must wait for 24 years if he invests $276,434.51 at 6% today

To calculate the waiting period for Jamal, follow these steps:

Therefore, Jamal has to wait approximately 19, 18, 22, and 24 years respectively to become a millionaire by investing $22,108.44, $45,104.11, $152,814.56, and $276,434.51 respectively at 21%, 16%, 8%, and 6% interest rates.

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Georgia's state agencies are important for the efficient functioning of the state because they enable  the Supreme Court to interpret laws, the General Assembly to establish the state budget and pass laws, and the executive branch to enforce laws.

Georgia's state agencies are important to the efficient functioning of the state because they enable the Georgia General Assembly to pass laws and establish the state budget, enable the Supreme Court of Georgia to interpret the state's laws, enable Georgia's local governments to check the power of the state government, and enable Georgia's executive branch to enforce the state's laws.

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--The given question is incomplete, the complete question is given

" Why are Georgia's state agencies important to the efficient functioning of the state? "--

Comparing the manual calculations and the solver program, it can be concluded that the solver program provides a more accurate and efficient solution. By considering a wider range of values and constraints, the program can quickly find the dimensions that maximize the volume of the box.

To solve this problem, we will make the following assumptions:

The box is rectangular in shape.

The dimensions of the box are positive real numbers.

The sum of the dimensions (width, height, and length) must be less than or equal to 258 cm.

To find the dimensions of the box with maximum volume, I will use calculus. Let's assume the dimensions are x, y, and z. The volume of the box is given by V = x * y * z. Since the sum of the dimensions must be less than or equal to 258 cm, we have the constraint x + y + z ≤ 258.

To find the maximum volume, we can use the method of Lagrange multipliers. By setting up the Lagrange equation and solving for the critical points, we can find the values of x, y, and z that maximize the volume within the given constraint.

Alternatively, we can use a solver program to numerically optimize the problem by considering various dimensions and constraints. The solver program can quickly iterate through different values to find the dimensions that maximize the volume.

By comparing the manual calculations and the solver program, we can draw conclusions about the design. The solver program may provide a more accurate and efficient solution, considering its ability to consider a wider range of values and constraints.

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The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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Answer:

Step-by-step explanation:

(x₁ , y₁) = (6, -4)  &    (x₂ , y₂) =(-1 , -4)

In these two points, there is no change in y-coordinates. So, the line is parallel to x-axis.

Slope of line parallel to x-axis = 0

When a research hypothesis does not predict the direction of a relationship, the test is typically two-tailed.

A two-tailed hypothesis is used when there is no specific prediction about

the direction of the relationship between variables.

It simply states that there is a relationship between the variables being

studied, but does not specify whether the relationship will be positive or

negative.

In contrast, a one-tailed hypothesis predicts the direction of the

relationship (i.e. positive or negative) and is used when there is a clear

expectation about the direction of the effect. A direct positive hypothesis

predicts a positive relationship between variables.

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Thus, the value of the given integral is 4.45.

To use Simpson's rule the first step is to define the interval width by using the formula given below;\($$h = \frac{b-a}{n}$$Here, a = 1, b = 3, n = 3 $$h = \frac{3-1}{3}$$ $$h = \frac{2}{3}$$\)

After that, calculate the coefficients for the intervals of width \(h:$$c_0 = c_3 = \frac{1}{3}$$$$c_1 = c_2 = \frac{4}{3}$$\)

Thus, Simpson’s 1/3 rule is given as \($$\int_a^b f(x) dx \approx \frac{h}{3} (f(a)+4f(a+h)+2f(a+2h)+4f(a+3h)+f(b))$$\)

Now, we can substitute the interval width and limits into this formula to solve for our integral.

\($$\int_{1}^{3} x dx =\frac{2}{3}[\frac{1}{3} (f(1)+4f(1+\frac{2}{3})+2f(1+\frac{4}{3})+4f(1+\frac{2}{3})+f(3))]$$$$\int_{1}^{3} x dx = \frac{2}{3}[\frac{1}{3}(1 + 4(1.67) + 2(2.33) + 4(2.67) + 3)]$$$$\int_{1}^{3} x dx = \frac{2}{3}[6.68]$$$$\int_{1}^{3} x dx = 4.45$$\)

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Answer:

29

Step-by-step explanation:

106=2(x+x+5)

53=2x+5

48=2x

24=x

24+5=29

Answer: A (2,5)

Step-by-step explanation: Remove Parenthesis

                                             y = 3 (2) - 1

                                             Simplify 3 (2) - 1

                                             Multiply 3 by 2

                                             y = 6 - 1

                                             Subtract 1 from 6

                                             y = 5

Use the x and y values to from the ordered pair.

(2,5)

Answer:

(2.5)

Step-by-step explanation:

Answer:

\(y= 2x + 4\)

Step-by-step explanation:

We are given an equation of \(2x-y+3 =-1\) and we need to put into \(y = mx+b\) form.

First, we subtract 3 on both sides to get the variables all on one side.

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

\(2x-y = -4\)

We need to now isolate y on its own so we subtract \(2x\) on both sides.

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

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

We almost done! We then need to divide the invisible negative on both sides which is a -1.

\(\frac{-y}{-1}=\frac{-2x-4}{-1}\)

\(y=2x+4\)

When we divide the the negatives together, we know that two negatives divided together is a positive. Therefore, we get our answer \(y=2x+4\)

Hoped this helped!

Step-by-step explanation:

79×0.08 = 6.32 (tax)

79(price) + 6.32(tax) = 85.32

Buss and Plomin's model of temperament proposes that there are three general temperaments: emotionality, activity, and sociability.

These temperaments are believed to be genetically based and to influence an individual's personality traits and behaviors throughout their life. Emotionality refers to an individual's tendency to experience strong emotional reactions, while activity refers to an individual's level of energy and impulsiveness.

Emotionality refers to an individual's tendency to experience and express emotions, such as fear, anger, and sadness.

Activity refers to an individual's level of physical and mental energy, and their tendency to seek out stimulation and engage in activities.

Sociability refers to an individual's preference for social interaction, including their level of interest in and enjoyment of socializing with others.

According to Buss and Plomin's model, these three temperaments are considered to be broad, genetically influenced traits that are present in varying degrees in every individual, and which can have a significant impact on a person's personality and behavior throughout their life.

Sociability, on the other hand, refers to an individual's degree of interest in social interaction and the degree to which they seek out social stimulation.

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A. If yοu bοught the 100 shares οf Health Care Right, yοu wοuld receive $134 in annual dividends.

Annual yield is the return οn an investment οver a οne-year periοd, expressed as a percentage. It is calculated by dividing the incοme οr prοfit generated by the investment οver the cοurse οf a year by the tοtal amοunt οf mοney invested.

B. Tο calculate the annual yield, we divide the annual dividends by the tοtal cοst οf the investment:

Annual yield = annual dividends / tοtal cοst οf investment

Tοtal cοst οf investment = $28.06 per share x 100 shares = $2,806

Annual yield = $134 / $2,806 = 0.0477, οr 4.77%

Therefοre, the annual yield fοr this investment wοuld be 4.77%.

C. If yοu bοught 80 shares οf Health Care Prοvider at $40.90 per share, yοu wοuld receive a tοtal οf:

$2.24 dividend per share x 80 shares = $179.20 in annual dividends

D. Tο calculate the annual yield, we divide the annual dividends by the tοtal cοst οf the investment:

Tοtal cοst οf investment = $40.90 per share x 80 shares = $3,272

Annual yield = $179.20 / $3,272 = 0.0548, οr 5.48%

Therefοre, the annual yield fοr this investment wοuld be 5.48%.

Hence,

A. If yοu bοught the 100 shares οf Health Care Right, yοu wοuld receive $134 in annual dividends.

B. The annual yield fοr this investment wοuld be 4.77%.

C. If yοu bοught the 80 shares οf Health Care Prοvider, yοu wοuld receive $179.20 in annual dividends.

D. The annual yield fοr this investment wοuld be 5.48%.

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