List these numbers from LEAST TO GREATEST 19.054, 19.0541, 19.5, 19.0

The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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Probability that the diameter of a randomly selected pipe will exceed 0.36 inch = 0.023

What is Probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here, Normal distribution of probability is used

Mean of the distribution = 0.3 inch

Standard Deviation of the distribution = \(\sqrt{0.009} = 0.03\)

Probability that the diameter of a randomly selected pipe will exceed 0.36 inch = P(X > 0.36)

       = 1 - P(X \(\leq\) 0.36)

          1 - P(z \(\leq\) \(\frac{0.36 - 0.3}{0.03}\))

          1 - P(z \(\leq\) 2)

          1 - 0.9772

           0.023

Probability that the diameter of a randomly selected pipe will exceed 0.36 inch = 0.023

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its the first option.

tiles of X and tiles of 1 are different

3 tiles of "X" = 3X

3 tiles of " 1 " = 3

option 3 does not mean 3X, it just means 3X + 3

Answer:

If it's the other way around which is x+3 it would be

Step-by-step explanation:

1=X

&

3 ones

x-1-1-1

Hope that helps as well 0_0

Answer:

subtraction property of equality

Step-by-step explanation:

From the Standard form for quadratic equation, it is possible to see that step 1 represents the subtraction property of equality.

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0), the coefficient c is a constant and the degree of the function must be equal to 2.

From the Standard form: ax²+bx+c=0, it is possible to see that step 1:

–c = ax² + b represents the subtraction property of equality.

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Answer:

x=3, 8

Step-by-step explanation:

x²-11x+24=0 can be factored to

(x-3)(x-8)=0

3-3=0

8-8=0

So, x can be 3, 8

Answer:

8

Step-by-step explanation:

Vertical angles are congruent.  That means that they have the same measurement.  Set them equal to each other and solve for x

x = 4x - 24  Subtract x from both sides of the equation

o = 3x - 24  Add 24 to both sides

24 = 3x  Divide both sides by 3

8 = x

m<A is 8

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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This is an example of confirmation bias, where Stan has chosen to function on the positive aspects of his performance to the exclusion of any negative aspects.

Confirmation bias is a systematic error where an individual is likely to seek out and focus on evidence that confirms their views or beliefs, while ignoring or downplaying any evidence to the contrary. In this example, Stan has chosen to focus on his positive performance in the algebra class, informing the new student that he had the highest score in the class, in an attempt to build his self-esteem. By doing this, Stan is ignoring any evidence that suggests his performance is low, thereby engaging in confirmation bias. This type of behavior can lead to a distorted perception of reality, as Stan is not taking into account all the available evidence when forming his opinion. Additionally, this type of behavior can interfere with Stan's ability to learn, as he is not taking in any new information that could challenge his current views or beliefs.

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the perimeter of the triangle is 10.2ft (option A)

Given:

A triangle with two angles and a side opposite one of the angles is given

To find:

the approximate length of the vinyl needed

The triangle is right-angled and isosceles as the base angles are equal. To get the approximate length of the vinyl needed, we will be assuming the whole triangle is the table top and vinyl will cover the whole of it

We will use Pythagoras theorem to get the longest side:

Hypotenuse² = opposite² + adjacent²

The two legs are equal since the base angles are equal

opposite = adjacent = 3 ft

Hypotenuse² = 3² + 3²

Hypotenuse² = 9 + 9 = 18

Hypotenuse = √18

Hypotenuse = 4.24

The perimeter of the triangle = Length of the outer edges of the tabletop

The perimeter of the triangle = 3ft + 3ft + 4.24 ft = 10.24 ft

From the options, the perimeter of the triangle is 10.2ft (option A)

Answer:

69

Step-by-step explanation:

cuz

The probability of Suzan getting one of each color other than fluorescent pink, given that she gets the fluorescent pink one, is 108/1001 or approximately 0.108.

To find the probability of Suzan getting one of each color other than fluorescent pink, given that she gets the fluorescent pink one, we can use counting techniques.

First, we need to find the total number of ways Suzan can choose four marbles out of the 14 in the bag. This can be calculated using combinations, which is 14 choose 4 or (14!)/(4!10!) = 1001.

Next, we need to find the number of ways Suzan can choose one of each color other than fluorescent pink, given that she already picked the fluorescent pink one. There are three red, three green, three yellow, and four orange marbles left in the bag. Suzan needs to choose one from each color, which can be done in (3x3x3x4) = 108 ways.

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Answer: 9x^2-48x+64

I was wrong originally

I am so sorry

Step-by-step explanation:

(3x-8)(3x-8)

9x^2-24x-24x+64

9x^2-48x+64

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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Answer:use a plane and then you plot the points then count the spaces then u count to half the spaces and then look for the numbers on the places and then u have the central point.

Step-by-step explanation:

Answer: The answer is 37

Step-by-step explanation:

If you subtract 71 from 108 the answer is 37

Since the angles of (x + 71)º is opposite to the same vertex to the angle of 108º, it is found that x = 37º.

Applying the equality:

\(x + 71 = 108\)

\(x = 108 - 71\)

\(x = 37\)

Thus, x = 37º.

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Answer:

8.66

Step-by-step explanation:

b = a sqrt(3)

Answer:

\( \frac{6}{x} = \frac{5}{y} \\ 6y = 5x \\ Answer \frac{6}{5} = \frac{x}{y} \)

Answer: b=21

Step-by-step explanation:

5b=21+4b

5b-4b=21

b=21

Answer:

m = 9 / 15 = 3 / 5 = 0.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

It's because you are multiplying the wrong variables.

Step-by-step explanation:

Answer:

j = 9, b = 5

Step-by-step explanation:

The first equation must be

\(j+b=14\)

Multiplying by -130 result

\(-130j-130b=-1820\)

we add the equations to eliminate the variable "j"

\(20b=100\)

\(b=100/20=5\)

Now we calculate "j"

\(j+b=14\)

\(j=14-b=14-5=9\)

Hope this helps

Answer:

i think your answer would number 1 or number 4

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Using Laplace Transform, solution is

a) y(t) = 1 + 2\(e^{-t\) - 3\(e^{-3t\) + t*\(e^{-3t\)

b) y(t) = \(e^{2t\) + 4\(e^t\) - 3t\(e^{2t\)

c) y(t) = 2\(e^{-3t\) - \(e^{-6t\) + 3sin(3t)

a) To solve the differential equation y'' - 10y' + 9y = 5t, with initial conditions y(0) = -1 and y'(0) = 2 using the Laplace transform, we follow these steps:

Take the Laplace transform of both sides of the differential equation:

\(s^2\)Y(s) - sy(0) - y'(0) - 10(sY(s) - y(0)) + 9Y(s) = 5/\(s^2\)

Substitute the initial conditions: y(0) = -1 and y'(0) = 2:

\(s^2\)Y(s) + s + 10sY(s) + 10 - 9Y(s) = 5/\(s^2\)

Rearrange the equation to solve for Y(s):

(\(s^2\) + 10s - 9)Y(s) = 5/\(s^2\) - s - 10

Y(s) = (5 - \(s^3\) - 10\(s^2\)) / (\(s^4\) + 10\(s^3\) - 9s)

Decompose the rational function on the right side using partial fractions. After performing the partial fraction decomposition, we get:

Y(s) = 1/s + 2/(s+1) - 3/(s+3) + 1/\((s+3)^2\)

Take the inverse Laplace transform of Y(s) to obtain the solution y(t):

y(t) = \(L^{-1\)[1/s] + \(L^{-1\)[2/(s+1)] - \(L^{-1\)[3/(s+3)] + \(L^{-1\)[1/\((s+3)^2\)]

y(t) = 1 + 2\(e^{-t\) - 3\(e^{-3t\) + t*\(e^{-3t\)

b) To solve the differential equation y'' - 6y' + 5y = 3\(e^{2t\), with initial conditions y(0) = 2 and y'(0) = 3, we can follow similar steps as above.

Take the Laplace transform of both sides:

\(s^2\)Y(s) - sy(0) - y'(0) - 6(sY(s) - y(0)) + 5Y(s) = 3/(s-2)

Substitute the initial conditions:

\(s^2\)Y(s) + 2s - 3 - 6sY(s) + 12 + 5Y(s) = 3/(s-2)

Rearrange the equation to solve for Y(s):

(\(s^2\) - 6s + 5)Y(s) = 3/(s-2) - 2s - 9

Y(s) = (3 - 2\(s^2\) + 7s) / [(s-2)(s-1)]

Perform partial fraction decomposition:

Y(s) = 1/(s-2) + 4/(s-1) - 3/(\((s-2)^2\)

Take the inverse Laplace transform of Y(s) to obtain the solution y(t):

y(t) = \(L^{-1\)[1/(s-2)] + \(L^{-1\)[4/(s-1)] - \(L^{-1\)[3/\((s-2)^2\)]

y(t) = \(e^{2t\) + 4\(e^t\) - 3t\(e^{2t\)

c) The given system of differential equations can be solved using the Laplace transform method. Let's solve it step by step:

Take the Laplace transform of the first equation:

2sY(s) + sX(s) - y(0) - sx(0) + Y(s) - 0 = 5/(s-1)

Take the Laplace transform of the second equation:

sY(s) - 3X(s) - x(0) + 3 = 0

Substitute the initial conditions: y(0) = 0, x(0) = 0:

2sY(s) + sX(s) + Y(s) = 5/(s-1)

sY(s) - 3X(s) + 3 = 0

Solve the equations to obtain Y(s) and X(s):

From the second equation, we have X(s) = (sY(s) + 3) / 3.

Substituting X(s) in the first equation, we get:

2sY(s) + s((sY(s) + 3) / 3) + Y(s) = 5/(s-1)

(6s + \(s^2\) + 3s)Y(s) + \(s^2\)Y(s) + 3s = 15/(s-1)

(\(s^2\) + 9s)Y(s) = 15/(s-1) - 3s

Y(s) = [15 - 3s(s-1)] / [(\(s^2\) + 9s)(s-1)]

Decompose the rational function on the right side using partial fractions. After performing the partial fraction decomposition, we get:

Y(s) = 2/(s+3) - 1/(s+6) + 3/(\(s^2\) + 9)

Take the inverse Laplace transform of Y(s) to obtain the solution y(t):

y(t) = \(L^{-1\)[2/(s+3)] - \(L^{-1\)[1/(s+6)] + \(L^{-1\)[3/(\(s^2\) + 9)]

y(t) = 2\(e^{-3t\) - \(e^{-6t\) + 3sin(3t)

This gives us the solution for the system of differential equations.

Correct Question :

Use The Laplace Transform To Solve The Following :

a) y′′−10y′+9y=5t, y(0) = −1, y′(0) = 2

b) y ′′ − 6y ′ + 5y=3\(e^{2t\),  y(0)=2, y′(0)=3

c) 2 dy/dx + dy/dt = 5\(e^t\), dy/dt -3 dx/dt = 5, when t=0, x = 0, y=0

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Answer:

The age of the youngest friend is 9 years old.

Step-by-step explanation:

3a = 30 - 3

= 27 ÷ 3

= 9

= 9 + 10 + 11 = 30

= 9 is the smallest number. So, the youngest friend is 9 years old.

Answer:

9

Step-by-step explanation:

11+10+9 = 30

If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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Answer:

Hello! answer: 113.04

Step-by-step explanation:

It looks like you already selected the correct answer! What you do to find it is radius squared × 3.14 so

6 × 6 = 36 36 × 3.14 = 113.04 therefore that is the answer Hope that helps!

the correct answer is a. likely to be due to true differences between the groups.

If we say we have statistically significant results, it means that the results are likely to be due to true differences between the groups. Statistical significance is a term used in hypothesis testing to determine if the observed differences between groups are likely to be real and not due to chance.

When conducting a statistical analysis, researchers compare the data from different groups or samples to see if there is a significant difference between them. This involves calculating a p-value, which represents the probability of obtaining the observed results if there were no true differences between the groups.

If the p-value is less than a predetermined threshold, typically 0.05, then the results are considered statistically significant. This means that the likelihood of obtaining the observed results by chance alone is very low, and it is more likely that the differences between the groups are due to a real effect.

For example, let's say we conduct a study to compare the effectiveness of two different treatments for a medical condition. If we find that the p-value is less than 0.05, we can conclude that there is a statistically significant difference between the treatments, and the observed improvement in one group is likely to be due to the treatment itself rather than random chance.

In summary, when we say we have statistically significant results, it means that the observed differences between groups are likely to be due to true differences rather than chance. This provides evidence for the presence of a real effect or relationship between the variables being studied.

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We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.

To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

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