Can someone please help me with this? And please no links.​

The Laplace Transform of the function F(t) = 5sin(3t) can be found by using the definition of the Laplace Transform, which involves integrating the function with respect to time. The Laplace Transform of F(t) is not a number, but rather a function in the complex domain.

To find the Laplace Transform of F(t) = 5sin(3t) using the definition, we need to integrate the function with respect to time from 0 to infinity. The Laplace Transform is defined as L{F(t)} = ∫[0,∞] F(t)e^(-st) dt, where s is a complex number.

Integrating [tex]5sin(3t)e^(-st)[/tex]with respect to t results in a complex function that depends on s. The integration involves applying the integration rules and evaluating the integral limits. The resulting Laplace Transform is a function of s, denoted as L{F(t)}.

However, for the functions G(t) = [tex]t^5 - (1/4)e^(-9t) + 5(t - 1)^2 and F(t) = e^(-2t - 5)[/tex], the Laplace Transform can be computed using the Laplace Transform formulas. These formulas provide specific transformations for various types of functions, making the calculation more straightforward. By applying the Laplace Transform formulas to G(t) and F(t), we can obtain their respective Laplace Transform expressions, denoted as L{G(t)} and L{F(t)}. These expressions will involve algebraic manipulations and the use of the Laplace Transform tables to identify the corresponding transformations.

Overall, the Laplace Transform is a powerful tool in the field of mathematics and engineering that allows us to transform functions from the time domain to the complex frequency domain, facilitating the analysis and solution of differential equations and systems of equations.

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Answer:

A

Step-by-step explanation:

Remarks

Solution

Answer:

I believe that the answer is '3a^2-4a+2

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. The length of the arc is given by the formula L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the measure of the central angle in radians.

An arc is a portion of the circumference of a circle. Substituting the given values, we have L = 3 * (2π/3) = 2π ft. Therefore, the length of the arc is 2π ft. The length of an arc can be calculated using the formula L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the measure of the central angle in radians. In this case, the radius of the circle is 3 ft and the central angle is 2π/3 radians, so the length of the arc is 2π ft.

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Answer:

a = 4

b = -3

Step-by-step explanation:

Let a and b be the two numbers.

According to question,

4a - b = 19........(i)

And,

a + 4b = -8........(ii)

From (i),

4a - b = 19

or, b = 4a - 19

Replacing b in (ii),

a + 4(4a - 19) = -8

a + 16a - 76 = -8

17a = -8 + 76

17a = 68

a = 68/17

a = 4

And,

b = 4a - 19

= 4 x 4 - 19

= 16 - 19

= -3

Answer:

Since Ben would have $362, he won't be able to buy the stereo as he needs to have an amount greater than or equal to 365.

Step-by-step explanation:

First, you need to determine the amount that Ben would have after saving $15 for the next 10 weeks:

$15*10=$150

Now, the inequality indicates that the amount left to save plus 212 should be greater than or equal to 365, so you have to add up 212 plus the amount Ben will save in the next 10 weeks to be able to determine if he would be able to buy the stereo:

150+$212=$362

Since Ben would have $362, he won't be able to buy the stereo as he needs to have an amount greater than or equal to 365.

A coefficient is significantly different from zero at 5% level if the coefficient of a variable is twice as large as its estimated standard error. This is because, at the 5% level of significance, the critical value for the t-distribution, when a two-tailed test is used, is equal to 1.96. To be significantly different from zero, the calculated t-value has to be greater than 1.96 or less than -1.96.

Suppose the estimated standard error is SE and the coefficient of the variable is β. The standard error of β, denoted by SE(β), is equal to SE/√n, where n is the sample size. Thus, if the coefficient of the variable is twice as large as its estimated standard error, then β > 2SE.

And, the calculated t-value would be greater than (β/SE) > 2, which is greater than 1.96. Therefore, we can say that the coefficient is significantly different from zero at the 5% level.

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The adjacency matrix for the graph K4,5 will consist of two distinct sets of vertices with edges connecting every vertex from one set to every vertex in the other set.

The graph K4,5 is a complete bipartite graph with two sets of vertices, let's call them A and B. Set A contains four vertices (A1, A2, A3, A4), and set B contains five vertices (B1, B2, B3, B4, B5). In the adjacency matrix representation, the rows correspond to the vertices of set A, and the columns correspond to the vertices of set B. Therefore, the adjacency matrix will have dimensions 4x5.

To construct the adjacency matrix, we assign a value of 1 to the element at row i and column j if there is an edge between vertex Ai and vertex Bj. Since K4,5 is a complete bipartite graph, every vertex in set A is connected to every vertex in set B. Thus, all elements in the matrix will be 1.

The graph representation of K4,5 will consist of two distinct sets of vertices, A and B, with edges connecting every vertex from set A to every vertex in set B. This means that there will be a total of 20 edges in the graph. The graph can be visualized as two distinct groups of vertices, with no edges connecting vertices within the same set but with edges connecting every vertex from one set to every vertex in the other set.

In summary, the adjacency matrix for K4,5 will be a 4x5 matrix with all elements equal to 1. The graph representation will consist of two sets of vertices, A and B, with 20 edges connecting every vertex from one set to every vertex in the other set.

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Diagonals congruent: rectangle, square, isosceles trapezoid

Perpendicular bisectors: Rhombus, Square

Answer:

Infinitely many solutions

Step-by-step explanation:

ive learned thiss

Answer: Infinite amount of solutions since the two equations are equal

Basically x = x and y = y all numbers would work

Step-by-step explanation:

Answer:

20%

Of Australia's total percent were gold!

Answer:

The probability of selection of chocolate candy from bag A is ( 10%) bigger than from the bag B

Step-by-step explanation:

From bag A the probability (p₁ ) of selection  ( in a random sample) of one chocolate candy is

p₁ = 9/15       p₁  = 0,6

From bag B the probability ( p₂ ) of selection ( in a random sample) of one chocolate candy is:

p₂ = 5/10       p₂ = 0,5

Then the probability of selection of chocolate candy from bag A is bigger than from the bag B

p₁ > p₂      p₁ - p₂  = 0,6 - 0,5       p₁ - p₂ = 0,1    p₁ - p₂ = 10%

p

Answer:

answer : b

Step-by-step explanation:

hello :

calculate : f (x)=-7(x+4)²-1

f(x) = -7(x²+16+8x) -1  use  identity : (a+b)² = a²+b²+2ab

f(x) = -7x²-112 -56x -1

f(x) = -7x²-56x -113  

The values 93, 87 and 4 are cardinal , ordinal and nominal numbers respectively

The value 93 is a cardinal number as it represents a specific number, in this case the student's test score.

The value 87 is an ordinal number as It represents the student's identification number, which indicates their place in a sequence.

The value 4 is a nominal number as It represents the test number, which is a label or name for something.

In general, cardinal numbers are used to count things, ordinal numbers are used to rank things, and nominal numbers are used to identify things.

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Answer:

-6

Step-by-step explanation:

it is going through the y axis

Answer:

3000 here hope this helps you out

Answer:

80 %

Step-by-step explanation:

I hope this helps!!

Answer:

A

Step-by-step explanation:

Answer:

A. x² +10x +25

B. x² - 25

C. 5x² -5x + 25

D. x²- 10x + 25

Step-by-step explanation:

A. (x+5)(x+5)

x² + 5x + 5x + 25

x² +10x + 25

B. (x-5)(x+5)

x² + 5x - 5x - 25

x² -25

C. 5(x² -x +5)

5x² -5x + 25

D. (x-5)(x-5)

x² - 5x -5x + 25

x²- 10x + 25

Step-by-step explanation:

put them in least to greatest, so that would be: 0,0,1,1,1,1,2,3,3,6,8,7,8, then do the greatest minus the lowest: 8-0=8

The probability P(X=0) is equal to 0.24.

In the given probability distribution, we are provided with the probabilities associated with each value of the random variable X. To find P(X=0), we need to identify the probability assigned to the value 0.

Looking at the table, we see that the probability P(X=0) is given as 0.24. Therefore, the correct answer is option b. 0.24.

The probability distribution assigns probabilities to specific values of the random variable X. In this case, the value 0 has a probability of 0.24. This indicates that there is a 0.24 chance of observing the value 0 when the random variable X is sampled from this distribution.

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Answer:

its b

Step-by-step explanation:

have a great day <3

The growth rate of your credit card balance is approximately 0.0142.

Therefore, the correct option is B.

Given that you got a credit card, you purchased a stereo system for $200. your credit limit is $1000.

The monthly interest rate is 1.42%.

We need to determine the growth rate of your credit card balance,

To calculate the growth rate of your credit card balance, we need to consider the monthly interest rate and the initial purchase amount.

The monthly interest rate is 1.42%, which can be expressed as a decimal by dividing it by 100: 0.0142.

The initial purchase amount is $200.

Assuming no payments are made and no additional purchases are made, the credit card balance will increase each month due to the accrued interest.

To calculate the growth rate, we can divide the accrued interest by the initial purchase amount.

Accrued interest = Monthly interest rate x Initial purchase amount

= 0.0142 x $200

= $2.84

Growth rate = Accrued interest / Initial purchase amount

= $2.84 / $200

≈ 0.0142

Therefore, the growth rate of your credit card balance is approximately 0.0142, which corresponds to option B.

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Answer:

69

Step-by-step explanation:

A. x and y are both within the same solar system.

7.2 light years= 455336 AU

Answer:

add 5 to both sides, divide by 2, take square root, subtract 3/4

Step-by-step explanation:

I think you maybe do the reverse order of operations, which is SADMEP (subtract/add, then divide/multiply, then take care of exponents and square roots, then do that same order for whatever's in parenthesis.)

Answer:

I cant see the full question enough to help you. Its showing like part of the question.

Answer:

4x+y=-7

Step-by-step explanation:

We evaluate S_n by substituting x = 0.4 into the nth partial sum and obtain our approximation for the integral.

To approximate the definite integral ∫(0 to 0.4)

[tex] {e}^{-x^3} [/tex]

dx with an error less than

[tex] {10}^{ - 4} [/tex]

we can use a Taylor series expansion for

[tex]{e}^{-x^3} [/tex]

The Taylor series expansion of

[tex]{e}^{-x^3} [/tex]

centered at x = 0 is:

[tex] {e}^{-x^3} = 1 - x^3 + (x^3)^2/2! - (x^3)^3/3! + ...[/tex]

By integrating this series term by term, we can approximate the integral. Let's denote the nth partial sum of the series as S_n.

To estimate the number of terms needed for the desired accuracy, we can use the error estimate formula for alternating series:

|Error| ≤ |a_(n+1)|, where a_(n+1) is the absolute value of the first omitted term.

In this case, |a_(n+1)| =

[tex]|(x^3)^{n+1} /(n+1)!| ≤ {0.4}^{(3(n+1)} /(n+1)!

[/tex]

By setting

[tex]{0.4}^{(3(n+1))} /(n+1)! < 10^(-4)[/tex]

and solving for n, we can determine the number of terms required.

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Answer:

12y2

Step-by-step explanation:

Answer:

is it 160167

Step-by-step explanation:

hope i helped out