Solve for x. Leave your answer in the simplest radical form.
Image down below!
Please help! Brainlist and points

Solve For X. Leave Your Answer In The Simplest Radical Form.Image Down Below!Please Help! Brainlist And

Answers

Answer 1

Answer:

x = 53.15

Step-by-step explanation:

use Pythagoras theorem

first find for the triangle that has both sides given and then solve for the other


Related Questions

It’s a word search

I’ll appreciate it even if you find one

—-Don’t put random stuff just to get points it’s rude——-

I’ll give brainliest if you can find the most

Words can be vertical, horizontal, diagonal, and backwards

Its a word search Ill appreciate it even if you find one-Dont put random stuff just to get points its

Answers

Step-by-step explanation:

rational. meter. greek

I'll try to find.

Its a word search Ill appreciate it even if you find one-Dont put random stuff just to get points its
Its a word search Ill appreciate it even if you find one-Dont put random stuff just to get points its
Its a word search Ill appreciate it even if you find one-Dont put random stuff just to get points its

BD Bisects ABC. Find the value of x in the image shown below

BD Bisects ABC. Find the value of x in the image shown below

Answers

Answer:

Since BD Bisects ABC,

Hence,

Angle CBD=Angle DBA

-> 55°=x°+12°

-> x° =55°-12°

-> x° =43°

finding a parametric description of the solution set of a linear system is the same as solving the system. True/False ?

Answers

The answer is True. Finding a parametric description of the solution set of a linear system is the same as solving the system.

Finding a parametric description of the solution set of a linear system is equivalent to solving the system. A parametric description of the solution set of a linear system is a way of representing all solutions to the system in terms of a set of parameters. Solving a linear system involves finding the specific values of the variables that satisfy the constraints specified by the system. By finding a parametric description of the solution set, we are effectively solving the system and finding all possible solutions. In this sense, finding a parametric description of the solution set and solving the system are equivalent.

To learn more about parametric click here:

brainly.com/question/15585522

#SPJ4


Explain how to use the regression calculator to make a reasonable prediction given a data table. ​

Answers

Answer:

Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.

Step-by-step explanation:

Answer:

Sample Answer: Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.

Step-by-step explanation:

its from edge

Answer these questions

Define natural hazard ?

What is the difference between tectonic hazards and weather hazards ?

why do convection currents in the mantle occur?​

Answers

Define natural hazard?

A natural hazard is a natural phenomenon that might have a negative effect on humans and other animals, or the environment. Natural hazard events can be classified into two broad categories: geophysical and biological.

What is the difference between tectonic hazards and weather hazards ?

Tectonic hazards occur when the Earth's crust moves. For example, when the plates move, friction can cause them to become stuck. Tension builds until the plates release, which leads to an earthquake. Climatic hazards occur when a region has certain weather conditions, for example heavy rainfall can lead to flooding.

why do convection currents in the mantle occur?

Heat rising and falling inside the mantle creates convection currents generated by radioactive decay in the core. The convection currents move the plates. Where convection currents diverge near the Earth's crust, plates move apart

calculate the solar flux density (also known as the solar constant) for mercury using the following information: solar luminosity = 3.865 x 10^26 w distance of mercury from the sun = 5.791 x 10^10 m

Answers

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

To learn more about solar flux density,

https://brainly.com/question/14891737

#SPJ4

Simplify the following and leave your answer in smallest form
1 + 2 + 1
_ _ _
2 3 6​

Answers

Answer:

1/59

Step-by-step explanation:

Answer:

1/59

think of it dude

Construct ascatterplot of theabove data. Whatdoes the scatterplotalone tell us about therelationship thatexists between thevariables x and y?Answer Choices:A. They share a very strong, positive, linear correlation. B. They share a moderately strong, negative, linear correlation. C. They share a very strong, negative, linear correlation. D. They share a moderately strong, positive, linear correlation.

Construct ascatterplot of theabove data. Whatdoes the scatterplotalone tell us about therelationship

Answers

Given:

Consider the given table of x and y values as reference of solution

To find:

Check the scatter plot alone that tell us about the relationship between variable x and y.

Explanation:

By considering the data, below scatter plot we can derived:

Also, here correlation coefficient is 0.9657 which is more than 0.7 indicating a strong positive linear correlation.

Final answer:

Hence, the correct option for relationship exist between the variables x and y is:

(A) They share a very strong positive, linear correlation.

Construct ascatterplot of theabove data. Whatdoes the scatterplotalone tell us about therelationship

Please help! What is 9.6=1/2b show work please!

Answers

Answer:

b = 19.2

Step-by-step explanation:

9.6 = ½b

=> 9.6 × (2/1) = b

=> 9.6 × 2 = b

=> 19.2 = b

To solve the equation, Antwan uses the distributive property, combines like terms, then uses the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible values of the constant after Antwan has completed these steps?


3 (1/3x + 1) + 4 = -1 - 4 (x + 3)


A.) –3 or 3

B.) –3 or 5

C.) –20 or 5

D.) –20 or 20

Answers

The answer is c-20 or 5

Answer:

the answer is D

Step-by-step explanation:

heeeeeeeeeeeeeeeeeeeeeeeeeeelp100point

heeeeeeeeeeeeeeeeeeeeeeeeeeelp100point

Answers

Answer:

2nd choice

Step-by-step explanation:

hope this helps

A population of birds that only eats one type of food find another type of food that is equally tasty but is a different shape and size. What will happen to the beaks of that population

Answers

The population of birds may develop changes in their beak shape and size over time to better adapt to the new food source through the process of evolutionary adaptation.

It appears you'd like to know what would happen to the beaks of a bird population that finds a new type of food that is equally tasty but different in shape and size.
Over time, the beaks of the bird population may undergo adaptation through natural selection.

As the birds start to consume the new type of food, individuals with beak shapes better suited for handling the different shape and size of the new food will have a higher chance of survival and reproduction.

This would lead to the spread of the advantageous beak trait throughout the population.
In summary, the beaks of the bird population may gradually change to better accommodate the new food source, driven by the process of natural selection.

For similar question on population.

https://brainly.com/question/27859177

#SPJ11

Why is it important that scientists use all of their results and not just some of them? Example: What should a scientist do if the evidence neither supports nor contradicts the hypothesis?
Why is it important for scientists to repeat each other's experiments?
Is there any scientific knowledge that it would be better not to have?

Answers

It is important for scientists to use all of their results because selective reporting can lead to biased or incomplete conclusions. Including all results helps ensure objectivity and transparency in scientific findings.

When the evidence neither supports nor contradicts the hypothesis, it is crucial for scientists to acknowledge and report this outcome. It indicates the need for further investigation and can contribute to the accumulation of knowledge. Scientists should explore alternative explanations, refine their hypotheses, or modify their experimental approaches to gain a deeper understanding of the phenomenon.

Scientists repeating each other's experiments serves as a vital aspect of the scientific process called replication. Replication helps validate or challenge previous findings, ensures the reliability of results, and identifies any potential errors or biases. It enhances the overall credibility and robustness of scientific knowledge by promoting consensus and reducing the likelihood of false or misleading conclusions.

Regarding whether there is any scientific knowledge that it would be better not to have, it is a complex question. Generally, scientific knowledge empowers humanity by expanding our understanding of the world and driving progress. However, ethical considerations may arise in certain areas, such as knowledge that could be weaponized or have harmful consequences if misused. Responsible dissemination and application of scientific knowledge, along with ethical frameworks, help ensure the benefits outweigh the potential risks.

Learn more about knowledge  here: brainly.com/question/28025185

#SPJ11

what is the volume of the cylinder?

what is the volume of the cylinder?

Answers

V≈17011.72
(r)(h)(pi)

Answer:

V = 17003.1

Step-by-step explanation:

Formula of the volume of a cylinder: V = pi*r^2*h

But in this case it tells you to replace pi with 3.14, so plugging in your numbers into the formula...

V = (3.14)(19)^2*(15)

= 17003.1

Notes: r = 19, because half of 38 is 19

If you have anymore questions, please ask! Cheers!

Which statement is true?
A rectangle may not have two pairs of parallel sides.
A square may not have 4 square corners.
A parallelogram has exactly 2 angles.
A trapezoid has one pair of parallel sides.

Answers

All the statements are true in the given question.

What is meant by parallelogram?

A quadrilateral is a shape with two sets of parallel sides, such as a parallelogram. A parallelogram has opposing sides that are the same length and angles that are the same size. The internal angles on the same side provide another complement to the transversal. All interior angles are added up to create a 360 degree circle. A parallelogram is a quadrilateral with two sets of parallel sides in Euclidean geometry. In a parallelogram, the opposing sides and angles are both of the same length. The congruence of opposed sides and opposite angles follows directly from the Euclidean parallel postulate and neither condition can be shown without referring to it or one of its equivalent formulations.

The given statements all are true.

To know more about parallelogram, visit:

https://brainly.com/question/7720055

#SPJ1

Nikita began with the figure shown.
A.
B
She completed the following actions to construct the angle bisector of ZABC, but made a mistake in one of the steps. Select the step in which
her mistake was made.
Step 1: She placed the compass on point B and drew an arc which intersects ray BA at point D and ray BC at point E.
Step 2: Next, she placed the compass on point D and drew an arc on the interior of ZABC.
Step 3: Then, she placed the compass on point C and drew an arc on the interior of ZABC, which intersects the previous arc.
Step 4: She labeled the intersection of the two arcs as point F and drew the ray BF, which represents the angle bisector
of ZABC.

Nikita began with the figure shown.A.BShe completed the following actions to construct the angle bisector

Answers

The angles formed by the angle bisector BF are ∠FBA and ∠FBC.

The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.

Reasons:

The steps to draw an angle bisector are;

Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E

Place the compass at point D and draw an interior arc to the given angle

Place the compass at point E and draw a second interior arc intersecting the previous arc

The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection

Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector

Learn more about an angle bisector here:

https://brainly.com/question/10130247

Answer:

Step three

Step-by-step explanation:

she placed the point on C when it was supposed to be on E

chegg Step 1 of 2 : Find the test statistic for testing the equality of the variances for the three brands. Round your answer to three decimal places.

Answers

I can explain the process of finding the test statistic for testing the equality of variances for three brands. Please note that the exact calculation depends on the specific statistical test you are using.

To test the equality of variances among three brands, you can use the Bartlett's test or Levene's test. Here, I will explain the steps for performing Levene's test:

Step 1: Set up hypotheses

- Null hypothesis (H0): The variances of the three brands are equal.

- Alternative hypothesis (HA): The variances of the three brands are not equal.

Step 2: Calculate the test statistic

Levene's test statistic is based on the absolute deviations of each observation from the group mean. The test statistic is given by:

\[ W = \frac{(N-k)}{(k-1)} \times \frac{\sum_{i=1}^{k}N_i(\bar{Z_i} - \bar{Z})^2}{\sum_{i=1}^{k}\sum_{j=1}^{N_i}(Z_{ij} - \bar{Z_i})^2}\]

where:

- N is the total number of observations.

- k is the number of groups (in this case, three brands).

- Ni is the number of observations in the i-th group.

- Zi is the absolute deviation of each observation in the i-th group from the group mean.

- Z is the overall mean of all observations.

Step 3: Conclusion

Compare the calculated test statistic with the critical value from the appropriate distribution (e.g., F-distribution). If the calculated test statistic is greater than the critical value, you would reject the null hypothesis and conclude that the variances are not equal. Conversely, if the calculated test statistic is less than the critical value, you would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a difference in variances among the three brands.

Remember to round your answer to three decimal places as requested.

It's important to note that without specific data, I can't provide an actual calculation or conclusion. The above explanation provides a general overview of the steps involved in testing the equality of variances for three brands.

To know more about Statistics, visit

https://brainly.com/question/15525560

#SPJ11

City A has a travel demand function q=3.0×106−4000t, and road performance function t1​=30+6×10−6q, where t is in minutes. There is a proposal to expand the road such that the road performance function will become t2​=20+3×10−6q, with a construction cost of $9.6×107 Q9.1: Given that the value of time is $1.5 per minute, justify the proposal. Q9.2: To what value of the construction cost would the proposal become justified?

Answers

Q9.1: To justify the proposal, we need to compare the benefits of the road expansion (in terms of reduced travel time) with its costs. The value of time represents the monetary value individuals place on their time spent traveling. In this case, the value of time is $1.5 per minute.

First, let's calculate the reduction in travel time resulting from the road expansion. We compare the two road performance functions: t1​ = 30 + 6×10−6q and t2​ = 20 + 3×10−6q. By subtracting t2​ from t1​, we can determine the time savings: Δt = t1​ - t2​ = (30 + 6×10−6q) - (20 + 3×10−6q)    = 10 + 3×10−6q Next, we multiply the time savings by the number of trips (q) to obtain the total time savings: Total Time Savings = Δt × q = (10 + 3×10−6q) × q Now, we can determine the monetary value of the time savings by multiplying the total time savings by the value of time ($1.5 per minute): Monetary Value of Time Savings = Total Time Savings × Value of Time                             

= (10 + 3×10−6q) × q × $1.5  If the monetary value of the time savings exceeds the construction cost of $9.6×107, then the proposal is justified. Q9.2: To determine the construction cost at which the proposal becomes justified, we set the monetary value of the time savings equal to the construction cost and solve for q: (10 + 3×10−6q) × q × $1.5 = $9.6×107 By solving this equation for q, we can find the corresponding construction cost at which the proposal becomes justified.

Learn more about total time savings here: brainly.com/question/33195786

#SPJ11

If+the+probability+of+x+successes+in+n+trials+is+less+than+___%+the+event+can+be+considered+unusual.

Answers

If the likelihood of x succeeding in n trials is less than 0.05%, then the event might be deemed to be an exceptional occurrence.

If P(the variable has a value of x or less) < 0.05, then this is an exceptionally low value. If the likelihood of obtaining a value as little as x is less than 0.05, then the occurrence of x is deemed exceptional.

This is further explained below.

What is probability?

Generally, Probability is the area of mathematics that deals with providing numerical descriptions of the likelihood that an event will take place or the likelihood that a statement will be correct. A number between 0 and 1 may be thought of as representing the chance of an event happening, with 0 indicating that the occurrence is impossible and 1 indicating that it will definitely happen.

In conclusion, If the likelihood of x succeeding in n trials is less than 0.05%, then the event might be deemed to be an exceptional occurrence.

Read more about probability

https://brainly.com/question/10544271

#SPJ4

i need help i have to get it done by 11:00 pleasee!!

i need help i have to get it done by 11:00 pleasee!!

Answers

The area of each of the semicircle is approximately:

a. 9.82 in.²       b. 16.08 in.²

What is the Area of a Semicircle?

A semicircle is half of a full circle. Therefore, the formula to find the area of a semicircle would be:

Area = 1/2(πr²), where r is the radius of the semicircle.

a. The parameters given are:

Diameter = 5 in.

Radius (r) = 5/2 = 2.5 in.

Area of the semicircle = 1/2(π * 2.5²) ≈ 9.82 in.²

b. The parameters given are:

Diameter = 6.4 in.

Radius (r) = 6.4/2 = 3.2 in.

Area of the semicircle = 1/2(π * 3.2²) ≈ 16.08 in.²

Learn more about the semicircle on:

https://brainly.com/question/16274804

#SPJ1

The life in hours of a 75-watt light bulb is known to be normally distributed with σ=25 hours. A random sample of 25 bulbs has a mean life of xˉ=1014 hours. (a) Construct a 95\% two-sided confidence interval on the mean life. Round your answers to the nearest integer (e.g. 9876). ≤μ≤ (b) Construct a 95\% lower-confidence bound on the mean life. Compare the lower bound of this confidence interval with the one in part (a). Round your answer to the nearest integer (e.g. 9876).

Answers

a) The upper bound of the 95% confidence interval is given as follows: 1024 hours.

b) The lower bound of the 95% confidence interval is given as follows: 1004 hours, which is the same difference from the mean as the upper bound, just below the mean.

What is a t-distribution confidence interval?

We use the t-distribution to obtain the confidence interval when we have the sample standard deviation.

The equation for the bounds of the confidence interval is presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are presented as follows:

\(\overline{x}\) is the mean of the sample.t is the critical value of the t-distribution.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The parameters for this problem are given as follows:

\(\overline{x} = 1014, s = 25, n = 25\)

The lower bound of the interval is then given as follows:

1014 - 2.0639 x 25/5 = 1004.

The upper bound of the interval is then given as follows:

1014 - 2.0639 x 25/5 = 1024.

More can be learned about the t-distribution at https://brainly.com/question/17469144

#SPJ4

The answer is 1004.

Given data: $n=25$, $\bar{x}=1014$ and $\sigma=25$.

The sample mean $\bar{x}$ = 1014 and sample size n = 25We can construct 95% confidence interval as follows:Step 1: Find the sample mean $\bar{x}$ = 1014Step 2:

Find the standard error,SE = $\frac{\sigma}{\sqrt{n}}$ =$\frac{25}{\sqrt{25}}$=5Step 3: Find the margin of error,

ME = $z_{\frac{\alpha}{2}}$ x SE , where $\alpha$=0.05, z-value for 0.025 = 1.96ME=1.96 x 5 = 9.8Step 4: Find the lower and upper limit for the confidence interval.

Lower limit = $\bar{x}$ - ME= 1014 - 9.8= 1004.2Upper limit = $\bar{x}$ + ME= 1014 + 9.8= 1023.8Thus the 95\% two-sided confidence interval is $(1004,1024)$.Lower-confidence bound on the mean life with 95% CI is:

Lower confidence bound = $\bar{x}$ - $z_{\alpha}$ x $\frac{\sigma}{\sqrt{n}}$=1014 - 1.96 x $\frac{25}{\sqrt{25}}$=1014-1.96x5=1004.2.

Comparing the lower bound of this confidence interval with the one in part (a), the lower bound in part (b) is the same as the lower limit in part (a). Therefore, the answer is 1004.

To know more about confidence interval, click below-

https://brainly.com/question/20309162

#SPJ11

Help me pleaseeeeeeeee

Help me pleaseeeeeeeee

Answers

71

Step-by-step explanation:

that it is not 0 because i am a teacher mrs.brainly so there is the thing

A bowl in the shape of a hemisphere has a volume of 486π
cubic centimeters. What is the radius of the bowl?

Answers

The radius of a Hemisphere-shaped bowl with a volume of 486π cubic centimeters is 9 centimeters. This can be found by using the formula for the volume of a hemisphere and solving for the radius.

The volume of a hemisphere is given by the formula:

V = (2/3)πr^3

where V is the volume and r is the radius. We are given that the volume of the bowl is 486π cubic centimeters, which is the volume of a full hemisphere. Therefore, we can write:

(2/3)πr^3 = 486π

Dividing both sides by (2/3)π, we get:

r^3 = (3/2) x 486

r^3 = 729

r = 9

Therefore, the radius of the bowl is 9 centimeters.

We can check this answer by calculating the volume of a hemisphere with radius 9:

V = (2/3)π(9)^3

V = 2π(243)

V = 486π

As expected, this is the same as the given volume of the bowl.

the radius of a hemisphere-shaped bowl with a volume of 486π cubic centimeters is 9 centimeters. This can be found by using the formula for the volume of a hemisphere and solving for the radius.

To know more about Hemisphere.

https://brainly.com/question/333717

#SPJ11

Please answer soon (45 Points)

Please answer soon (45 Points)

Answers

Answer:

Step-by-step explanation:

The answer is the first choice.

The maximum calories per week for the dog is 4900

One week is seven days which means:

maximum calorie/day = \(\frac{4900 calorie/day}{7 day}\)=700 calories/day

Thus the dog can have 700 or fewer calories per day

m∠EFG=30 and EF=4 units, find the length of arc EG. Round to the nearest hundredth.

Answers

The length of the arc with a central angle of 30 degrees and radius 4 inches is 2.09 units

Finding the length of the arc

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

central angle = 30 degrees

Radius = 4 units

Using the above as a guide, we have the following:

Length of arc = central angle/360 * 2 * 3.14 * Radius

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

Length of arc = 30/360 * 2 * 3.14 * 4

Evaluate

Length of arc = 2.09

Hence, the length of the arc is 2.09 units


Read more about arc lengths at

https://brainly.com/question/16552139

#SPJ1

A trapezoid has vertices at A(1,2),B(−2,1),C(−4,−2), and D(2,0). a) Show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC. b) Show that the length of this line segment is half the sum of the lengths of the parallel sides.

Answers

a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

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

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

For more such question on midpoints visit;

https://brainly.com/question/28667736

#SPJ8

Consider the following described by the transfer function:

H(s)= s+2/ s²+28+2

Transform the above transfer function into the state-space model Draw a state diagram of this state-space model Verify the controllability and observability of this state-space model - Apply a PID control for this model and explain how?

Answers

The transfer function H(s) = (s+2)/(s² + 28s + 2) can be transformed into a state-space model. Controllability and observability of the state-space model can be verified, and a PID control can be applied to the model.

To transform the given transfer function into a state-space model, we first express it in the general form:

H(s) = \(C(sI - A)^(^-^1^)B + D\)

where A, B, C, and D are matrices representing the state, input, output, and direct transmission matrices, respectively. By equating the coefficients of the transfer function to the corresponding matrices, we can determine the state-space representation.

Next, to draw the state diagram, we represent the system dynamics using state variables and their interconnections. Each state variable represents a dynamic element or energy storage in the system, and the interconnections indicate how these variables interact. The state diagram helps visualize the flow of information and dynamics within the system.

To verify the controllability and observability of the state-space model, we examine the controllability and observability matrices. Controllability determines if it is possible to steer the system to any desired state using suitable inputs, while observability determines if all states can be estimated from the available outputs. These matrices can be computed using the system matrices and checked for full rank.

Finally, to apply a PID control to the state-space model, we need to design the control gains for the proportional (P), integral (I), and derivative (D) components. The PID control algorithm computes the control input based on the current error, integral of error, and derivative of error. The gains can be adjusted to achieve desired system performance, such as stability, settling time, and steady-state error.

In summary, by transforming the given transfer function into a state-space model, we can analyze the system dynamics, verify its controllability and observability, and apply a PID control algorithm for control purposes.

Learn more about transfer function

brainly.com/question/33300425

#SPJ11

please help. the number to the left is 21​

please help. the number to the left is 21

Answers

The calculated value of the perimeter of the triangle LMN is 105 units

Calculating the value of the perimeter of the triangle

Given the triangles

The triangles are similar triangles

So, we have the following equivalent ratio that can be used to determine the scale factor

scale factor = 21 : 9

Express as fraction

So, we have

scale factor = 21/9

Evaluate

scale factor = 21/9

This means that the perimeter of LMN is 21/9 times the perimeter of EFG

So, we have

Perimeter = 21/9 * (21 + 9 + 15)

Evaluate

Perimeter = 105 units

Hence, the value of perimeter of the triangle is 105 units

Read more about similar triangles at

https://brainly.com/question/14285697

#SPJ1

An open circle on the number line means that the number ______________________ a possible solution.

Answers

Answer:

well it isn't in the solution it would be an inequality that doesn't have a line under it

if it has a line under the inequality then it would be included in the solution

Step-by-step explanation:

A music festival offers one-day and three-day passes. A one day pass costs $100 and a three-day pass costs $250. write an expression for the total ticket sales if (n) one day passes and (t) three day passes are sold.

Answers

Answer:

100n+250t

Step-by-step explanation:

cost of the1 one day pass=100

cost of n one day passes=100n

cost of the 1 three day pass=250

cost of t three day passes=250t

Total sale= 100n+250t

The expression for the total ticket sales if (n) one day passes and (t) three day passes are sold is n + t = $350.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Cost of one-day passes, n = $100

Cost of three-day passes, t = $250

So, Total tickets sold = Cost of one-day passes + Cost of three-day passes

Total tickets sold = n + t

⇒ n + t = $100 + $250

⇒ n + t = $350

which is the required expression for total tickets sold.

Thus, the expression for the total ticket sales if (n) one day passes and (t) three day passes are sold is n + t = $350.

To learn more about expressions :

brainly.com/question/21798279

#SPJ2

Other Questions
involves changing a product to meet local conditions or wants in foreign markets. C.2. A fleet of earthmoving equipment may be purchased for $2,000,000 cash. In an average year the fleet is expected to move 5,000,000 yd of the earth. The O & M costs are cur- rently running about $0.60/yd' but are expected to increase about 8 percent per year for the next five years. Earthmoving of this type is currently being successfully bid at about $0.90/yd but is expected to increase at the rate of about 5 percent per year. Overhead (su- pervision, clerical, home and field office, etc.) costs are running about $500,000 per year and are expected to remain fairly constant at that level. It is estimated that at the end of five years the fleet can be sold for $600,000. A prospective buyer says he will buy the fleet if it will return at least 15 percent on his invested capital. Should he buy the fleet? Show all the calculations. 5 3/2 x 3 6/7 you have 10 point to do the answer PLEASE ANSWER QUICK!!! 20 POINTS!!!!1Suppose the length of voicemails (inseconds) is normally distributed with a meanof 40 seconds and standard deviation of 10seconds. Find the probability that a givenvoicemail is between 20 and 50 seconds.10203040P = [?]%Hint: use the 68 - 95 - 99.7 rule.50 6070Enter What is the solution set to the inequality (4x-3)(2x-1)20?{ x x 3 or x> 1}x21}{XX0 {x1x5 - 1/2or x24or x2- Suppose the yield on short-term government securities (perceived to be risk-free) is about 5%. Suppose also that the expected return required by the market for a portfolio with a beta of 1.0 is 14.0%. According to the capital asset pricing model:Required:a. What is the expected return on the market portfolio? (Round your answer to 1 decimal place.)b. What would be the expected return on a zero-beta stock? Helena lost her marbles. But then she found them and put them in 444 bags with mmm marbles in each bag. She had 333 marbles left over that didn't fit in the bags. Use the Best-First Search with Branch-and-Bound Pruning algorithm for the 01 Knapsack problem to maximize the profit for the following problem instance. Show the actions step by step. i P 1 $20 2 10 2 $30 5 6 3 $35 75 4 $12 3 4 5 $3 13 Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line How do you select from the insertion point to the beginning of the current line?Press the Shift key, then press the Up Arrow key.Press the Shift key, then press the Home key.Press the Shift key, then press the Right Arrow key.Press Ctrl + A. A company's cost of supplies for when 5,000 units are sold is $7,500 of fixed costs plus $1.25 variable cost per unit. What is the increase in the total cost of supplies if 350 more units are sold than expected There are 40 DuBois students going on a field trip. Each one pays their teacher $8.75 to cover admission to the museum and lunch. Admission for the students is $120 and each one gets an equal amount to spend on lunch. How much will each DuBois student be able to spend on lunch? * Suppose that when the pH of a certain chemical compound is 5.00, the pH measured by a randomly selected beginning chemistry student is a random variable with mean 5.00 and standard deviation .2. A large batch of the compound is subdivided and a sample given to each student in a morning lab and each student in an afternoon lab choose the sentence that best summarizes the information Find the linear approximation to the functionat the point (x, y, z) = (1, -2,0)L (x,y,z) = ______ Cheryl wants to have $2000 in spending money to take on a trip to Niagara Falls in three years. How much must she deposit now in a savings account that pays 4 percent interest compounded monthly to have the money she needs in three years? (PV) #7 If Shazaad wants to save $40000 for a down payment on a home in five years, assuming an interest rate of 4.5 percent compounded quarterly, how much money does he need to save each month? (PMT) i need the answer asap, will mark brainliest 4. Given the two vectors u(-2,1,-1) and v=(3,0,2) Find the area of the parallelogram formed by the vectors u and v. according to broverman et al.s study (1970) on mental health and gender, people felt that mentally healthy adults should be dominant whereas mentally healthy women should be How do you completely reset a program?