PLEASE HELP ME 20 POINTS + BRAINLIEST

The state model for the two-mass system is given by the above state-space representation.

To obtain the state model for the given two-mass system, we need to express the system in terms of its state variables, inputs, and outputs. Let x1 and x2 be the displacements of the two masses, and let x3 and x4 be the velocities of the two masses, respectively. Then, we can write the equations of motion in matrix form:

dx/dt = Ax + Bu

y = Cx + Du

where x = [x1 x2 x3 x4]T is the state vector, u is the input vector, y is the output vector, and A, B, C, and D are matrices.

Substituting the given equations of motion, we can obtain the state-space representation as:

dx/dt =

[0 1 0 0 ]

[15/7 -7/5 4/7 0 ]

[0 0 0 1 ]

[-4/5 4/15 0 -2/5]

x +

[0 ]

[0 ]

[0 ]

[1/5]

u

y = [1 0 0 0] x

Find out more about the state model

brainly.com/question/15568372

#SPJ4

a. FPCF for this sample is FPCF = √(199/24) = 2.89.

b. The population cannot be considered effectively infinite, so the answer is no.

When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.

The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.

a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:

FPCF = √(N/n)

where N is the population size, and n is the sample size.

In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).

FPCF = √(199/24) = 2.89 (rounded to two decimal places)

b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.

In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.

Learn more about FPCF on:

https://brainly.com/question/10098164

#SPJ1

Above that the statement indicates just simple interest equals $157.92.

With only the coordination mechanism and a fixed interest rate, simple yearly interest is interest connected to borrowing. Compounding, wherein borrowers are obligated to pay tax on the principal as well as interest that rises over a number of pay periods, is not included. Simple interest is calculated by multiplying the original by calendar, rate of return and time period.

Due to it,

P = $1305.17

R = 11/10%

T = 11 months

Now, Simple Interest = P*R*T/100

Simple Interest = 1305.17 * 1.1 * 11/100

Simple Interest = 157.92

Therefore, Simple Interest is $157.92

To know more about Simple Interest visit:

brainly.com/question/25793394

#SPJ1

I don't understand what you are talking about, but I can list you the factor pairs of 16!

16=1,16; 2,8; 4,4

Thise are all the factor pairs

Answer:

1 x 16,

2 x 8

4 x 4

Factors of 16: 1, 2, 4, 8, 16

Answer:

2 4/7

Step-by-step explanation:

Multiply 3x6. the denominator would stay the same since both are the same. it would be 18/7, but seven can go into 18 twice, basically subtract 14 and it would equal the 2. then, there would be a leftover 4, which would become a 4/7.

Answer:

2 4/7

Step-by-step explanation:

To multiply fractions:

Simplify the fractions if not in lowest terms.

Multiply the numerators of the fractions to get the new numerator.

Multiply the denominators of the fractions to get the new denominator.

The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10

To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.

Bus 47:

Median (Q2): 16

Q1: 10

Q3: 22

IQR = Q3 - Q1 = 22 - 10 = 12

Bus 18:

Median (Q2): 12

Q1: 8

Q3: 18

IQR = Q3 - Q1 = 18 - 8 = 10

Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.

Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.

Find out more on IQR at https://brainly.com/question/16611580

#SPJ1

Answer:

The store sold 4,400 video games all year.

Step-by-step explanation:

Percentages

The x percent of a number N is calculated as:

\(\displaystyle P=\frac{x}{100}*N\)

If the value of P is known, then:

\(\displaystyle N=\frac{100}{x}*P\)

We know the store sold P=550 video games during the month of December and it corresponds to the x=12% of its yearly games sales (N).

Let's calculate N:

\(\displaystyle N=\frac{100}{12.5}*550\)

N = 4,400

The store sold 4,400 video games all year.

Answer:

C.

Step-by-step explanation:

16 cm² + 9 cm² = 25 cm²

5 cm × 5 cm = 25 cm²

Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

Answer:

it's electromagnetic radiatum

Answer:

Neck

Step-by-step explanation:

Which one is closest to your head?

T-T

The total cost of all three children is £7.50. To solve the problem, we need to find the cost of each child and add them together as they are of different ages.

The cost of the child is based on their age, which is less than 5 years or 5-12 years. Abi is 2 years old, and under 5 years, so she will cost £1.50. Max is 5 years old, so he will be categorized as 5-12 years old and will cost £3.

Finally, Ty is 7 years old, and he falls under the category of 5-12 years, so he will cost £3. Therefore, the total cost of the three children is:

£1.50 (for Abi) + £3 (for Max) + £3 (for Ty) = £7.50. Therefore, the total cost of all three children is £7.50, which is the sum of Abi, Max, and Ty's individual costs of £1.50, £3, and £3, respectively.

For more question on cost

https://brainly.com/question/2292799

#SPJ8

Answer: in the third draw 33.33% people eliminated.

Step-by-step explanation:

Answer:

13/5 of 11 feet should be 343 inches aka 28.58 feet

28.58 feet minus 3.3 feet should be 25.28 feet

I believe your answer would be 25.28 feet or 303.36 inches

Step-by-step explanation:

The correct statement that assigns a random integer between 1 and 10, inclusive, to rn is (D).

int rn = (int) (Math.random() * 10) + 1.

The method Math.random() generates a random number between 0 and 1, inclusive. If we multiply this number by 10, we will get a random number between 0 and 10, exclusive. If we then add 1 to this number, we will get a random number between 1 and 11, exclusive. If we then take the integer part of this number using the (int) cast, we will get a random integer between 1 and 10, inclusive. This is exactly what statement (D) does.

Learn more about Math.random() here:

https://brainly.com/question/29644825

#SPJ4

Answer:

60

Step-by-step explanation:

180 - 120 = 60

Answer:

4/5

Step-by-step explanation:

Answer:

4/5 is the lowest expression for 2/3÷5\6

Answer:

Total yearly interest for the two accounts is: $1500

Step-by-step explanation:

Total amount of money invested: $13000

x+y=13000,

Total yearly interest for the two accounts is: $1500

0.07*x+0.17*y=1500

x=13000-y

Substitute for x

0.07*(13000-y)+0.17*y=1500

Multiply out

910-0.07y+0.17*y=1500

Combine like terms.

0.1*y=590

Isolate y

y=$ 5900.00 at 17%

x=13000-y

Calculate x

x=$ 7100.00 at 7%

Check

0.07*7100+0.17*5900=1500

497+1003=1500

1500=1500

If this statement is TRUE and neither amount is negative then all is well

(Hope this helps can I pls have brainlist (Crown)☺️)

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

To know more about unitary method  visit:

brainly.com/question/28276953

#SPJ1  

The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

Learn more about angle of rotation at

https://brainly.com/question/2078551

#SPJ1

There isn't enough evidence to support the police department's claim at the 0.01 significance level.

To determine if there is enough evidence to support the police department's claim, we conduct a one-sample t-test.

With a sample mean of $154, a population mean of $150, a standard deviation of $17.54, and a sample size of 160, the t-statistic is 1.85.

Checking this against the critical t-value for a one-tailed test with 159 degrees of freedom and a 0.01 significance level, we find the critical t-value is 2.36.

Because our calculated t-statistic is less than the critical t-value, we fail to reject the null hypothesis.

Thus, there isn't enough evidence to support the police department's claim at the 0.01 significance level.

Read more about standard deviation here:

https://brainly.com/question/24298037

#SPJ1

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

Learn more about percentages here,

https://brainly.com/question/24877689

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

The equation of the conic represents a circle with an area of 36π square units.

In this problem we find the equation of the conic in general form, on which we need to determine what kind of conic it represents. This can be done by finding the standard form of the equation by means of algebra properties, using a strategy known as completing the square. The quadratic equation in general form is described by the quadratic equations of the form:

A · x² + B · y² + C · x + D · y + E · x · y + F = 0

Now we proceed to find the standard form of the equation. First, write the equation in standard form:

x² + y² - 3 · x + 6 · y = 7 · x + 2

x² + y² - 10 · x + 6 · y - 2 = 0

Second, complete the square:

(x² - 10 · x + 25) + (y² + 6 · y + 9) = 2 + 25 + 9

(x - 5)² + (y + 3)² = 36

The standard form of the quadratic equation indicates the equation of a circle with a diameter of 12 units and a center at (h, k) = (5, - 3). The area of the circle is calculated below:

A = 0.25π · D²

Where D is the diameter of the circle, in units.

A = 0.25π · 12²

A = 36π

To learn more on conics: https://brainly.com/question/29757055

#SPJ1

186 cm³ will be the surface area of the given figure.

To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.

Thus,

Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.

So,

Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)

Total surface area = 150+54-18

Total surface area = 186

Therefore, the surface area of the given figure will be 186 cm³.

Learn more about the Surface area here:

https://brainly.com/question/29298005

#SPJ1