PLZZZ HELP WILL GIVE BRAINLIST

Answer: same bruh

Step-by-step explanation:

I suppose you're asking about the inverse Laplace transform of

[tex]F(s)=\dfrac4{(s-3)(s-2)}[/tex]

by way of the convolution theorem.

The theorem itself says that

[tex]\mathscr L^{-1}\{A(s)B(s)\}=(a*b)(t)[/tex]

where [tex]A(s)[/tex] and [tex]B(s)[/tex] are the Laplace transforms of [tex]a(t)[/tex] and [tex]b(t)[/tex], respectively.

Let [tex]A(s)=\frac1{s-3}[/tex] and [tex]B(s)=\frac1{s-2}[/tex]. Then

[tex]a(t)=\mathscr L^{-1}\left\{\dfrac1{s-3}\right\}=e^{3t}[/tex]

[tex]b(t)=\mathscr L^{-1}\left\{\dfrac1{s-2}\right\}=e^{2t}[/tex]

So we have

[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=e^{3t}*e^{2t}[/tex]

Convolution is defined as

[tex](a*b)(t)=\displaystyle\int_0^t a(t-\tau)b(\tau)\,\mathrm d\tau[/tex]

The convolution of [tex]e^{3t}[/tex] and [tex]e^{2t}[/tex] is

[tex]e^{3t}*e^{2t}=\displaystyle\int_0^t e^{3(t-\tau)}e^{2\tau}\,\mathrm d\tau[/tex]

[tex]=\displaystyle e^{3t} \int_0^t e^{-\tau}\,\mathrm d\tau[/tex]

[tex]=e^{3t}(1-e^{-t})=e^{3t}-e^{2t}[/tex]

We end up with

[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=\boxed{4(e^{3t}-e^{2t})}[/tex]

Answer:

Step-by-step explanation:

1. Area of a parallelogram = base * height

 area = 10 * 4 = 40 in squared

perimeter = 2(a + b)

perimeter = 2 * (5 + 10) = 2 * 15 = 30in

2. Area of triangle = 1/2 * base * height

area = 1/2 * 21 * 8 = 84 cm squared

perimeter = sum of outer perimeters

perimeter= 10cm + 17cm + 21cm = 48cm

3.  area of trapezium = 1/2 * (a+b) * h

 area = 1/2 * (6+12) * 4 = 36ft squared

 perimeter = sum of outer perimeters

 perimeter = 5ft + 6ft + 12ft + 5ft = 28ft

Answer:

To find out the first three terms of 3n - 2 substitute 1 ,2 and 3 into the equation.

so the three terms a

 3(1)-2=1

3(2)-2=6-2=4

3(3)-2=9-2=7

As you can see the sequence goes up in 1,4 and 7.To find out the 10th term you also substitute 10 into the equation so 3(9)-2=18-2=16

so 16 is the tenth term

Hope this helped!

Answer:

The first 3 is in the thousandths place. it is worth 3 thousand. The second 3 is in the tenths place. It is worth 30.

Answer: 3,435

Least place value to largest largest place value-

5-ones place

3-tens place

4-hundreds place

3-thousands place

I hope that worked!

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Step 1:

45 ÷ 9

Answer:

5

Hope This Helps :)

Answer:

Step-by-step explanation:

5 - 2y = - 8

Subtract 5 from both sides

-2y = - 8 - 5

-2y = - 13  

Divide by - 2

-2y/-2 = - 13/-2

y = 6 1/2 or 6.5

Answer:

1.45

Step-by-step explanation:

not sure but trying to help :)

Answer:

550 students

Step-by-step explanation:

Answer:

550 students

Step-by-step explanation:

The domain is all x-values.

The range is all y-values.

Domain: 3, 5, -3, 2, 1

Range: 4, 7, 8, 0, 3

Best of Luck!

Answer:

A car is traveling down a highway at a constant speed, described by the equation d = 65t, where d represents the distance, in miles, that the car travels - 1138… ... How many miles does it take the car to travel 26 miles at this speed? c. ... the distance, in miles, that the car travels at this speed in t hours.

Step-by-step explanation:

Hope this helps

Steps to solve:

7m + 2n - 8p/n

~Substitute

7(4) + 2(2) - 8(1.5)/2

~Simplify

28 + 4 - 12/2

~Simplify

28 + 4 - 6

~Add

32

~Subtract

26

Best of Luck!

Answer:

the answer is 1.2 or 1 1/5

Step-by-step explanation:

Answer:

.50 = 1/2 so its 1/2 plus 1/2 plus 1/5 which you turn 1/5 and 1/2 in ten and it now 5/10 plus 5/10 plus 2/10 with equals 1 and 2/10 or otherwise 1 and 1/5

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

B It shows that when 0 canisters of helium are used, 0 balloons are created

Step-by-step explanation:

from the graph, we can see that point (0,0) means that when the number of canisters of helium used is 0, then the number of balloons created is also 0

the closest answer to this observation is:

B It shows that when 0 canisters of helium are used, 0 balloons are created

Step-by-step explanation:

Hey there!!

Here, According to the question;

Let one number be x then another number will be x+37. (as one number is 37 more than other number. )

Now,

Their sum is 91.

It would be like;

[tex]x + (x + 37) = 37[/tex]

[tex]2x + 37 = 91[/tex]

[tex]2x = 91 - 37[/tex]

[tex]x = \frac{54}{2} [/tex]

Therefore the value of x is 27.

So, one number is 27 and another number is 64.

Hope it helps....

Answer:

scale factor = ratio of corresponding side= 0p/xy = 4/10= 2/5

∠x = 58

∠y= 180-49-58= 73

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Whenever we see "of" we know its multiplication

125% x a normal day

125% x 8

[tex]\frac{125}{100}[/tex] x 8

10

:)

Answer:

-1/2y +3

Step-by-step explanation:

2/5y -4 + 7 -9/10y=

combine like terms

-1/2y +3

Answer:

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

Step-by-step explanation:

Given

74.052

Required

Write in Expanded Form

In Decimals

[tex]7 = 7 * 10[/tex]

[tex]4 = 4 * 1[/tex]

[tex]0 = 0 * 0.1[/tex]

[tex]5 = 5 * 0.01[/tex]

[tex]2 = 2 * 0.001[/tex]

Bring these together,

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

In Fraction

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

Convert decimals to fraction

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * \frac{1}{10} + 5 * \frac{1}{100} + 2 * \frac{1}{1000}[/tex]

[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

sometimes whole numbers

Step-by-step explanation:

maybe

Answer:

5/5 which simplifies to 1

Step-by-step explanation:

Answer:

m= 5/5

Step-by-step explanation:

y2= 9

y1=4

x2=8

x1=3

9-4 = 5

8-3 = 5

Therefore the slope/rate of change is 5/5

Answer: If interest is not given, it would be 25,000+ interest as your answer

Step-by-step explanation:

Hey there!

[tex](x+y+z)(x-z)^2[/tex]

Simplify.

[tex]x^2y-2xyz+yz^2+x^3-x^2z-xz^2+z^3(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Step-by-step explanation:

x³+yx²+zx²-2x²z-2xzy-2xz²+x²z-z²y+z³

Answer:

81

Step-by-step explanation:

3 ^4 =3 ×3 ×3 ×3 =81

Answer: 100,000 + 2000 + 200

Hope this helps!

Please mark Brainliest!

Answer:

100,00+2,000+200

Step-by-step explanation:

Answer:

8 2/5 inches!

Step-by-step explanation:

The lighthouse is 120 feet, and 4 inches of height on the model equals 50 feet of height on the lighthouse. 100 divided by 50 = 2, and 4 multiplied by 2 is 8. 20 divided by 50 = 2/5, so the answer is 8 2/5 inches. :)