∠1 and ∠2 are vetical angles. If m∠1 =(5x+12)° and m∠2 =(6x−11)°. m∠1=

After taking the Laplace transform, we obtain f(s) = (72/s^38) - (20/(s^2 + 25)) * (2/(s + 3)). The Laplace transform of the function f(t) = 2t^36 - 2sin(5t) * 2e^(-3t) can be found by applying the linearity and derivative properties of the Laplace transform.

To find the Laplace transform of f(t) = 2t^36 - 2sin(5t) * 2e^(-3t), we can apply the linearity property of the Laplace transform.

The Laplace transform of 2t^36 can be found using the derivative property of the Laplace transform. Taking the derivative of t^36, we get 36t^35. Then, applying the Laplace transform to 36t^35, we obtain (36!/s^37).

The Laplace transform of 2sin(5t) can be directly found using the standard Laplace transform table. The transform of sin(5t) is 5/(s^2 + 25).

The Laplace transform of 2e^(-3t) can also be found using the standard Laplace transform table. The transform of e^(-at) is 1/(s + a).

Now, using the linearity property of the Laplace transform, we can combine the transforms of each term:

f(s) = (72/s^37) - (20/(s^2 + 25)) * (2/(s + 3)).

Thus, the Laplace transform of f(t) is f(s) = (72/s^37) - (40/(s^2 + 25)(s + 3)).

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The predictive amount when n=5 is approximately -103.76.

To find the predictive amount when n=5, we can use the equation for a linear regression line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using the given values. The formula for calculating the slope is m = (nΣ(xy) - ΣxΣy) / (nΣ(x^2) - (Σx)^2).

Using the given values, we can calculate the slope:
m = (5*470 - 210*470) / (5*5300 - (210)^2)
 = (2350 - 98700) / (26500 - 44100)
 = -96350 / -17600
 ≈ 5.48

Next, let's find the y-intercept (b). The formula is b = (Σy - mΣx) / n.

Using the given values, we can calculate the y-intercept:
b = (470 - 5.48*210) / 5
 = (470 - 1150.8) / 5
 = -680.8 / 5
 ≈ -136.16

Now we have the equation for the linear regression line: y = 5.48x - 136.16.

To find the predictive amount when n=5, we substitute x=5 into the equation:
y = 5.48*5 - 136.16
 ≈ -103.76

Therefore, the predictive amount when n=5 is approximately -103.76.

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Step-by-step explanation:

8/2 = 48/b

4=48/b

b=48/4

b=12

Answer:

Step-by-step explanation:

8/2 = 48/b

b = 48×2/8

b = 12

The values of the independent variable for which a function evaluates to zero are referred to as a function's zeros, roots, or solutions. In other terms, a number x such that f(x) = 0 is a zero of a function f(x). Finding a function's zeros is comparable to figuring out the solution to the equation f(x) = 0.

Let ƒ(x)=−2(x−1)(x+2)² (x+5)³.

Find the zeros of f(x) and give the multiplicity of each zero.

a. To find the zeros of the function, we have to set ƒ(x) equal to zero. So, we get

x-2(x - 1)(x + 2)²(x + 5)³ = 0

Since the function is in factored form, we can use zero product property to solve for

x.-2 = 0,

(x - 1) = 0, (

x + 2)² = 0, and

(x + 5)³ = 0. Thus, we get:

x = 1,

x = -2 (multiplicity 2), and

x = -5 (multiplicity 3). Therefore, the zeros of the function are:

x = 1,

x = -2, and

x = -5.

b. Multiplicity of each zero of the function is the power of the factor of the zero. The multiplicity of x = 1 is 1.

The multiplicity of x = -2 is 2.

The multiplicity of x = -5 is 3.

c. Since the multiplicity of x = -2 is even, the graph touches the x-axis and turns around. And since the multiplicity of x = 1 is odd, the graph crosses the x-axis at x = 1. And since the multiplicity of x = -5 is odd, the graph crosses the x-axis at x = -5.

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Answer:

y=-1 and x=-4

Step-by-step explanation:

2x+y=-9

and

2x-5y=-3

Multiply the second equation by -1, now we have

2x+y=-9

and

-2x+5y=3

Now you can add both sides of the equations and the x values will cancel, because they are opposites (2x and -2x)

2x+y-2x+5y=-9+3

6y=-6

y=-1

We now know y is -1, so we can substitute back into one of our original equations

2x+y=-9

2x+(-1)=-9

2x=-8

x=-4

y is -1 and x is -4

Answer:

Step-by-step explanation:

Given the expression  sin(11pi/2 +x) =-1/2

Take the arcsin of both sides

sin⁻¹[sin(11pi/2 +x)] =sin⁻¹(-1/2)

11pi/2 + x = -30

x = -pi/6 - 11pi/2

Find the LCM

x = (-pi-33pi)/6

x = -34pi/6

x = -17pi/3

Since x is negative and sin is negative in the fourth quadrant

x =  - 17pi/2

x = -1530⁰+1440⁰ (scaling down the angle)

x = -90

x = 360 - 90 (fourth quadrant)

x = 270⁰

x = 270pi/180

x = 27pi/18

x = 3pi/2

Hence x the solution of x is 3pi/2

Answer:

B, 5pi/3

Step-by-step explanation:

edge 2020

Answer:

the answer is to your question is 140

Answer:

140°

Step-by-step explanation:

9 - 2 = 7

7 x 180= 1260° (sum of all interior angles)

1260 ÷ 9= 140° (measure of one interior angle)

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer:

y = 7+2x

Step-by-step explanation:

4x = 5 - 2y __(1)

y - 2x = 7 __(2)

From eq (2) ,

y = 7 + 2x

Hence, we can substitute (7+2x) in place of y in the first equation.

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Answer: a=6

Step-by-step explanation:

a-(7-a)=5

a-7+a=5

2a-7=5

2a=12

a=6 :)

Answer:

\(\Huge \boxed{a=6}\)

Step-by-step explanation:

\(a-(7-a)=5\)

We need to isolate the \(a\) variable on one side of the equation to find the value.

Distribute the negative sign.

\(a-7+a=5\)

Combine like terms.

\(2a-7=5\)

Add 7 to both sides of the equation.

\(2a=12\)

Divide both sides of the equation by 2.

\(a=6\)

To construct a triangle with sides of length 20 cm and 17 cm and a nonincluded angle of 56°, we first draw a line segment of length 20 cm using a ruler.

Then, using a protractor, we draw an angle of 56° at one endpoint of the line segment. Next, using a compass, we draw a circle with radius 17 cm centered at the other endpoint of the line segment. The circle intersects the angle we drew, and the point of intersection is the third vertex of the triangle.

However, no such triangle can be constructed because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 20 cm and 17 cm add up to 37 cm, which is not greater than any third side we could draw. Therefore, it is impossible to construct a triangle with sides of length 20 cm and 17 cm and a nonincluded angle of 56°.

Since no such triangle can be constructed, there cannot be any noncongruent triangles with these properties. Therefore, the answer is A.
C. Two or more such noncongruent triangles can be constructed.

To construct the triangle, follow these steps:

1. Draw a segment of length 20 cm using the ruler.
2. Set the compass to a length of 17 cm, and draw arcs centered at each endpoint of the 20 cm segment.
3. Use the protractor to measure a 56° angle at one of the endpoints of the 20 cm segment.
4. Draw a line extending from that endpoint at the 56° angle.
5. The intersection points of the 17 cm arcs and the line drawn at a 56° angle will be the vertices of two noncongruent triangles with the stated properties.

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The computation is that the width is 21.5 feet and the height is 12.5.

Let the height = h

Let the width = (3 × h) - 16 = 3h - 16

Therefore, the dimensions will be:

h + 3h - 16 = 34

4h = 34 + 16

4h = 50

Divide

h = 50/4

h = 12.5

Therefore width = 3h - 16 = 3(12.5) - 16

= 37.5 - 16

= 21.5

The width is 21.5 feet and the height is 12.5.

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Given:

What is 8/9 of 3/8?

So, we will multiply 8/9 by 3/8

So, the answer will be 1/3

Answer:

To obtain a 95% confidence level estimate to within 0.25 days, 200 surgical patients' records should be looked at. The answer is 200.

Step-by-step explanation:

To answer your question regarding the number of records needed to obtain a 95% confidence level estimate to within 0.25 days for the average length of stay of surgical patients, we'll need to use the formula for sample size in estimating means.

The formula is n = (Z^2 * σ^2) / E^2, where n is the sample size, Z is the Z-score (1.96 for 95% confidence level), σ is the population standard deviation, and E is the margin of error.

Since we're given that 50 surgical patients' records are needed for a 95% confidence level estimate to within 0.5 days, we can set up the equation as follows:

50 = (1.96^2 * σ^2) / 0.5^2

Now, we need to find the sample size for a margin of error of 0.25 days:

n = (1.96^2 * σ^2) / 0.25^2

We can use the information from the first equation to find the new sample size:

(50 * 0.5^2) / (0.25^2) = n
(50 * 0.25) / 0.0625 = n
12.5 / 0.0625 = n
n = 200

So, to obtain a 95% confidence level estimate to within 0.25 days, 200 surgical patients' records should be looked at. The answer is 200.

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Answer:

If he got 9 out of 15 correct, he got 6 problems incorrect.

6/15 is incorrect

6/15 × 100

40 % is your answer

Answer:

40% are incorrect

Step-by-step explanation:

If 9 are correct then 15-9 = 6

6 are incorrect

6/15 = 2/5

Change to a percent

2/5 *20/20 = 40/100

Percent means out of 100

40% are incorrect

Answer:

329.933

Step-by-step explanation:

Hope it helps have a great day:)

With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.

However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).

Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.

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we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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An equation of the line that passes through the points (3, 0) and (8, -2) is y - 0 = -2/5(x - 3).

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data points (3, 0), a linear equation of this line in slope-intercept form can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 0 = (-2 - 0)/(8 - 3)(x - 3)

y - 0 = -2/5(x - 3)

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Answer:

When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Step-by-step explanation:

i did it

To solve the given initial value problem using the method of Laplace transforms, we'll take the Laplace transform of both sides of the differential equation. Let's denote the Laplace transform of the function y(t) as Y(s).

The Laplace transform of the second derivative y" is s²Y(s) - sy(0) - y'(0), where y(0) and y'(0) are the initial conditions given.

The Laplace transform of the first derivative y' is sY(s) - y(0).

The Laplace transform of the term 6y is 6Y(s).

The Laplace transform of the term -24e^t can be found using the table of Laplace transforms.

Applying the Laplace transform to the entire differential equation, we get:

s²Y(s) - sy(0) - y'(0) + 5(sY(s) - y(0)) + 6Y(s) - 24/(s-1) = 0

Substituting the initial conditions y(0) = -5 and y'(0) = -19, we have:

s²Y(s) + 5sY(s) + 6Y(s) - 5s + 19 - 24/(s-1) = 0

Now, we can solve this equation for Y(s). Once we find Y(s), we can take the inverse Laplace transform to obtain y(t), the solution to the initial value problem.

Since the given question doesn't specify a particular form for Y(s), I'm unable to provide the exact solution y(t) in terms of e.

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Step-by-step explanation:

(-1)^2 (-4+(-4))-(-4)

1(-8)+4

-8+4

-4

Answer:

y = -2x

Step-by-step explanation:

According to the table, 1 is subtracted from x and 2 is subtracted from y every step.

-2/1x

(rise over run.)

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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Step-by-step explanation:

1/4+5/4 = 6/4

6/4^2 = 6/4*6/4 = 36/16 = 18/8 = 9/4

9/4 + 3/4 = 12/4 = 3

Answer:

= 3

Step-by-step explanation:

(1/4 + 5/4) ^2 + 3/4 = ? --> add 1/4 and 5/4

(6/4) ^2 + 3/4 = ? --> do (6/4) ^2

2.25 + 3/4 = ?

? = 3