the median of the following numbers arranged in ascending order is 25. find x : 11,13,15,19,x+2,,x+4,30,35,39,46

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

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Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

The estimated cost for constructing the house in New Orleans, Louisiana of the given square feet is option A. $113,750.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that, construction rate per square feet is $65.

We have to find the estimated cost for a two-story home of 950 ft2 on the first floor and 800 ft² on the second floor.

Total area of the plot = 950 ft² + 800 ft²

                                   = 1750 ft²

Estimated cost can be calculated by multiplying total area with the construction rate per square feet.

Estimated cost = 1750 ft² × $65

                         = $113,750

Hence the estimated cost is $113,750.

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Based on the amount predicted to be spent, the hypotheses will be:

The Null Hypothesis is the one that confirms the prediction so in this case it will be that the average shopper will indeed spend $1,007.24.

The Alternate Hypothesis theorizes that the event being predicted will not happen so in this case that would mean that the shopper would not spend $1,007.24.

In conclusion, the null hypothesis confirms and the alternate denies.

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Answer:

3x + 3

Step-by-step explanation:

The given expression is 24x - 27 - 15 + 18 - 21x + 27.

To simplify this expression, we can combine like terms. Like terms are terms that have the same variable(s) and exponent(s). In this expression, we have two terms that have x: 24x and -21x. These terms can be combined by subtracting 21x from 24x to get 3x.

The other terms without any variables are -27, -15, 18, and 27. We can combine these terms by adding them together to get 3.

Therefore, the simplified expression is 3x + 3.

Answer:

3x+3

Step-by-stepStep-by-step explanation:

Combine like terms:

(24x+(−21x))+(−27+(−15)+18+27)

3x+3

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment

Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.

The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:

D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63

Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)

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Answer: It’s -1,-3

Step-by-step explanation:

got 100 on the test

Answer:

  6

Step-by-step explanation:

There are 3 ways she can choose the "favorite" band. Then, for each of those, there are 2 ways she can choose the "second favorite" band. The total count of possible votes is ...

  3×2 = 6

6 different votes are possible.

Answer:

-6.5

Step-by-step explanation:

In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.

To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).

The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.

Given data:

Cost of a 30-second commercial in 2021 = $5.6 million

CPI in 2021 = 271.4

CPI in 1967 = 33.4

To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:

Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)

Cost in 1967 = ($5.6 million) * (33.4 / 271.4)

Cost in 1967 ≈ $0.689 million

To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:

Cost in 1967 ≈ $68,900

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The methods to reduce the risk of tuberculosis include Educating patients on respiratory hygiene

What is tuberculosis?

Mycobacterium tuberculosis is the bacteria that causes tuberculosis (TB). TB germs often attack the lungs, but they can attack any region of the body, including the kidney, spine, and brain.

When an infected individual coughs or sneezes, the germs that cause tuberculosis spread. The majority of people who are infected with the germs that cause tuberculosis do not show symptoms. When symptoms do appear, they are typically accompanied by a cough (sometimes blood-tinged), weight loss, night sweats, and fever.

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Answer:

28+36+y=180

64+y=180

y=180-64

y=116°

The probability that the 4th or 5th student you stop is the first to have the jumper cables is 0.2417 or about 24.17%.

This is an example of a negative binomial probability problem, where we want to know the probability of obtaining a certain number of failures before obtaining a certain number of successes in a series of independent trials. In this case, the "success" is finding a student with jumper cables, and the "failure" is finding a student without jumper cables.

Let p be the probability of success (finding a student with jumper cables) on any given trial, which is 0.18 according to the problem. Let k be the number of successes we want to obtain, which is 1 in this case (since we only need to find one student with jumper cables). Let x be the number of trials it takes to obtain k successes, which is either 4 or 5 in this case.

Then, the probability of finding the first student with jumper cables on the 4th or 5th stop is:

P(X = 4 or X = 5) = P(X = 4) + P(X = 5)

We can calculate these probabilities using the negative binomial distribution formula:

\(P(X = x) = (x-1) choose (k-1) * p^k * (1-p)^{x-k}\)

For x = 4:

\(P(X = 4) = (4-1) choose (1-1) * 0.18^1 * (1-0.18)^{4-1} = 0.1778\)

For x = 5:

\(P(X = 5) = (5-1) choose (1-1) * 0.18^1 *(1-0.18)^{5-1} = 0.0639\)

So, the probability of finding the first student with jumper cables on the 4th or 5th stop is:

P(X = 4 or X = 5) = 0.1778 + 0.0639 = 0.2417

Therefore, the probability that the 4th or 5th student you stop is the first to have the jumper cables is 0.2417 or about 24.17%.

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Accοrding tο the parallelοgram prοperty,

a. Opposite sides have the same length.  Parallelοgram

b. Area is one-half the base times the height. Nοt Parallelοgram

c. Opposite sides are parallel. Parallelοgram

d. Angles can be right angles. Nοt Parallelοgram

The parallelοgram is a quadrilateral, which have parallel side.

Here we knοw that in parallelοgram , οppοsite sides have same length.

The area οf the parallelοgram is multiplicatiοn οf base and height.

In quadrilateral , if the οppοsite sides are parallel , then it is parallelοgram.

In parallelοgram if the angles are right angle , then it is called rectangle.

Hence the answers are ,

a) Parallelοgram

b) Nοt Parallelοgram

c) Parallelοgram

d) Nοt Parallelοgram

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The graph with the same end behavior is the one in option C.

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

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Answer:

Step-by-step explanation:Move the decimal point in the divisor and dividend. ...

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

If there are about 7,000,000,000 people in the world and  In Australia, there is a population of about 2.306 x \(10x^{7}\) people, then the difference between the world's  and Australia's populations is 697.694×\(10^{7}\)

Given,

The total population of world = 7,000,000,000 peoples

Convert to suitable standard form

7,000,000,000 peoples = 700×    \(10^{7}\) peoples

The population of Australia = 2.306×\(10^{7}\)

The difference = The population of world - The population of Australia

=700×    \(10^{7}\)-2.306×\(10^{7}\)

=(700-2.306)×\(10^{7}\)

=697.694×\(10^{7}\)

Hence, If there are about 7,000,000,000 people in the world and  In Australia, there is a population of about 2.306 x \(10x^{7}\) people, then the difference between the world's  and Australia's populations is 697.694×\(10^{7}\)

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Answer:

114 cm²

Step-by-step explanation:

Surface area of the rectangular prism,

2×(wl+hl+hw)

=2×(3×8+3×8+3×3)

= 2×(24+24+9)

= 2×(57)

=114 cm²

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

Answer:

3880 ÷ 960 = 4.041

ratio = 4:1

Answer:

The integers are 269 and 271.

Step-by-step explanation:

Since the sum of two consecutive odd integers is 540, to determine what are the integers, the following calculation must be performed:

Odd integer 1: X

Odd integer 2: X + 2

X + X + 2 = 540

2X + 2 = 540

2X = 540 - 2

X = 538/2

X = 269

Therefore, the integers are 269 and 271.

Answer:

i

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Amplitude is the absolute value of the number in front

3cos(2x) + 5

Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.

As given in the question,

Nearest point on the coast is 2 miles far away

rate of the row = 1mile per hour

Walk at the rate of 3 miles per hour

Let 'x' hours be the least time to reach point Q.

Time = distance / speed

Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3

Time taken to reach the coast = (√ 4 + x² ) / 1

Total  time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3

To find least time dt/dx = 0

t  = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3

⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )

⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )

Squaring both the side we get,

x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )

⇒3x² -24x +36 =0

⇒ x² -8x + 12 = 0

⇒ x = 2 or 6 hours

Therefore , the least time taken to reach the point Q is equal to 2 hours.

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the perimeter of a semi circle whose radius is the perimeter of a semi circle whose radius is the perimeter

Answer:

A. $10.56

Step-by-step explanation:

Edge 2020

Jamie saved $10.56 by buying the book on sale and using the coupon.

The Percentage is a relative value that indicates the hundredth parts of any quantity.

Given that, in sale books are being sold at 20% off, Jamie has extra 15% coupon, Jamie buys a hardcover fiction book that is priced $32.99, we need to determine how much she saved.

So,

32.99 × 80/100 × 85/100

= $22.43

Therefore, the books costs Jamie = $22.43

The amount she saved = 32.99 - 22.43 = $10.56

Hence, Jamie saved $10.56 by buying the book on sale and using the coupon.

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This is how to solve it, I believe this is correct. If you need a better understanding, let me know.

Answer:

connect the points (0, 3) and (4, 2)

Answer: When the addition of two or more equations leads to the elimination of one of the variables.

Step-by-step explanation:

When we have a system of equations, the addition method seems to be useful only when adding the equations will lead to the elimination of one of the variables:

An example of this can be, for the variables x and y:

3*x + x*y - 2*y = 3

x^2 + x*y - 2y = 42

now we can "add" (actually subtract) the equations and get (eq2 minus eq1)

(x^2 + x*y - 2y) - (3*x + x*y - 2*y ) = 42 - 3

x^2 - 3*x = 39

x^2 - 3*x - 39 = 0

And now we can solve it for x, and then find the value of y.