Use Definition 7.1.1,
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for
t ≥ 0.
Then the integral
ℒ{f(t)} =

e−stf(t) dt

0
is said to be the Laplace transform of f, provided that the integral converges.
to find
ℒ{f(t)}.
(Write your answer as a function of s.)

Answers

Answer 1

Answer:

1q1231564rr54drdfgy6


Related Questions

Carpet sells for $3 per square foot and will cost you $675 to recarpet your rectangular room. If your room is 15 feet long, how many feet wide is it?

Answers

675/3=225
225/15=15
It’s a15x15 room


Which statement is true in the question below?

Answers

Answer:B

Step-by-step explanation:

5/7 times 7/8 in simple form

Answers

Answer:

609

Step-by-stepStep-by-step explanation:

nope

a small square garden has an area of 25 square yards. how long is each side of the garden?

Answers

Answer:

Step-by-step explanation:

A square has an area of base times height which is identical to base.

If x is the length of a side, A = x•x = x²

x² = 25

x = √25

x = 5 yards

A linear function is defined by the equation f(x)=-2(x+5). The table below represents another linear function ,g(x). What is the distance between the y-intercept of f(x) and the y-intercept of g(x) ?

Answers

Answer:

b. 3

Step-by-step explanation:

find equation of g(x):

(-16-(-10))/(-3-(-1))=-6/-2=3

apply a point

-16=3(-3)+n

-16=-9+n

n=-7

g(x)=3x-7

find equation of f(x):

f(x)=-2(x+5)

simplify

f(x)=-2x-10

subtract y intercepts

-7-10=3

3

How do you multiply 47.5 by 28

Answers

Answer: uhhhh

Step-by-step explanation:

Answer:

Step-by-step explanation:

1330 is the answer

Solve:
8t + 2 = 8 (4) + 2 = ? + 2


What is the (?) / Question mark?

Answers

Answer:

? = 32

Step-by-step explanation:

Because 8 times 4=32 plus 2 = 34 and therefore t=4 8 times 4 again plus 2 = 34 so 32 plus 2 =34

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A bedroom is in the shape of a square. The length of the room is 6p7q. What is the area of the bedroom in terms of p and q?

Answers

Answer:

(6p7q)²

Step-by-step explanation:

you have to square the length to find the area of a square

The area of the bedroom would be (6p7q)² square units.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

A bedroom is in the shape of a square. The length of the room is 6p7q.

According to the given question, we can write the dimension as:

The width of the room = 6p7q units

The length of the room = 6p7q units

The area of the room = width of the room ×  length of the room

The area of the room = 6p7q × 6p7q

Apply the multiplication operation,

The area of the room = (6p7q)² square units

Therefore, the area of the room is (6p7q)² square units.

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Solve the inequality -3p + 7 < -2p+8​

Answers

p  >  −  1

............................................................................................

problem referred below
pls help

Answers

Answer:

B

7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:

(3x-7)+x = 109

What is: 17/21 + 1/3 - 5/7 as a fraction in simplest form?

(Giving brainliest, 5 stars and a thanks)

Answers

Answer:

3/7

Step-by-step explanation:

it is -1/21 as a fraction

sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday ?

Answers

Answer:

12x-15 dollars

Step-by-step explanation:

She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.

Determine the value of x. Question 4 options: A) 10 B) 5 C) 10 D) 5

Answers

The answer should be A or D

Identify the domain and range of each relation. Is the relation a function?
x y
5 3
8 6
10 11

Answers

Answer:

No

Step-by-step explanation:

Considering domain and range of a function, we first have to create the function based off the given points.

So this would mean first having to find the slope of the equation, which would be using the slop/point formula of [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex]

Taking the first 2 points, it would make the equation as follows:

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{6-3}{8-5} = \frac{3}{3} = 1[/tex]

To be sure, we take the 2nd pair of points (point 2 and point 3) and make the equation with those as well.

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{11-6}{10-8} = \frac{5}{2} = 2.5[/tex]

Since these 2 slopes do not match, this set of relations cannot be a function, and therefore a domain/range cannot be found.

Find total cost to the nearest cent.$1500 computer; 7% tax

Answers

Answer:

Total Cost = $1605

Step-by-step explanation:

Total Cost = Cost of the Computer +  (Cost of the computer × tax %)

Total Cost = $1500 + ($1500 × .07)

Total Cost $1500 + $105

Total Cost = $1605

please help.. no links​

Answers

Use Pythagorean theorem,

[tex]29^2 = 21^2 + x^2 \\\\\implies x^2 = 29^2 -21^2 \\\\\implies x^2 = 400\\\\\implies x = \sqrt{400} = 20[/tex]

What should be done to both sides of the equation in order to solve -5m = -40?


A. Multiply by -5.
B. Divide by -5.
C. Multiply by -40.
D. Divide by -40.

Answers

Answer
B. Divide by -5

Answer:

B.Divide by -5

Step-by-step explanation:

-5m= -40

divide bothe sides by -5

m= -40/-5

m= 8

Five more than the difference of two numbers

Answers

Answer: (x - y) + 5

Step-by-step explanation: Difference of two numbers means subtraction so we know its x - y. Then, we need five more so addition which means (x - y) + 5.

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it is the onion of set of whole numbers and the opposition of the set counting or natural numbers A. integers B. inverse C. Positive D. Negative ​

Answers

integers is your answer

Find the number k so that 125 is 65% of k

Answers

The value of the  unknown number k with the given percentage is 192.31.

The given parameters;

percentage of the unknown number = 65%result obtained from 65% of k = 125

The original value of the unknown number "k" is calculated by setting up a linear equation as follows;

[tex]k \times 0.65 =125\\\\k = \frac{125}{0.65} \\\\k = 192.31[/tex]

Thus, from the result above we can conclude that the value of the  unknown number "k" is 192.31.

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a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?

Answers

Answer:

7feet I hope this help you.

What does it mean to say that a function is linear?
Select all that apply.
A. The function has a graph that includes the point (0,0).
B. The function can be described by an equation of the form y = mx + b.
C. The function has a constant rate of change.
D. The function has a straight-line graph.
| E. The function has a rate of change that increases.

Answers

A function is linear if:

B. The function can be described by an equation of the form y = mx + b.

C. The function has a constant rate of change.

D. The function has a straight-line graph.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

A linear function has a constant rate of change (either increasing or decreasing).

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A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is given by
the formula h = 16t^2 + 32t+ + 240. After how long will the stone hit the ground?

Answers

A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.

On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.

The height h, is given as:

h = 16[tex]t^{2}[/tex] + 32t + 240

Differentiating the expression with respect to t, we have;

32t + 32 = 0

t = -1 seconds

Substitute the value of time, t, in the equation for the height;

h = 16 - 32 + 240

  = 224

h = 224 m

Total height, S = 240 + 224

                         = 464

S = 464 m

The total height covered by the stone is 464 m.

From the second equation of free fall,

S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

S = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

464 = [tex]\frac{1}{2}[/tex]*9.8*[tex]t^{2}[/tex]

[tex]t^{2}[/tex] = [tex]\frac{928}{9.8}[/tex]

  = 94.694

t = [tex]\sqrt{94.694}[/tex]

 = 9.7311

t 10 seconds

The time taken for the stone to hit the ground is 10 seconds.

Thus option A is the required answer.

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A circle has a diameter of 18 inches. Which is the following is closet to the circumference of the circle?

Answers

Answer:25.13

Step-by-step explanation:

use the formulas

C=2πr

d=2r

Find the discriminant of the quadratic equation.

2i2+6i=4

Answers

[tex] {2i}^{2} + 6i = 4 \\ {8i }^{2} = 4 \\ 8i = \sqrt[2]{4} \\ 8i = 2 \\ i = \frac{2}{8} \\ i = \frac{1}{4} [/tex]

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(PLEASE HELP ME I NEED THIS VERY QUICKLY)
find the value of x in the rhombus ​

Answers

Answer:

1/2 and -5/2

Step-by-step explanation:

Assuming all sides are equal just put the equations equal to each other and solve

Solve the following questions: 17 x 10 = 24 x 100 = 6 x 1000 =

Answers

Answer:

17 x 10= 170

24 x 100= 2,400

6 x 1000= 6000

Step-by-step explanation:

pls pls help!!! brainliest!!
Chris got a new cell phone and wanted to download some music. The graph shows the storage on his cell phone as a function of
-intercept in terms of this problem.

A. The x-intercept shows that he can download 53 songs before running out of storage on his phone
B. The x-intercept shows that he started with 16 songs downloaded before adding more.
C. The x-intercept shows that he has 53 GB of storage on his phone.
D. The x-intercept shows that he can download 16 songs before running out of storage on his phone.

Answers

Answer: the answer is A. The x-intercept shows that he can download 53 songs before running out of storage on his phone

Step-by-step explanation:

Chris got a new cell phone and wanted to download some music. The graph shows the storage on his cell phone as a function of

-intercept in terms of this problem.

A. The x-intercept shows that he can download 53 songs before running out of storage on his phone

B. The x-intercept shows that he started with 16 songs downloaded before adding more.

C. The x-intercept shows that he has 53 GB of storage on his phone.

D. The x-intercept shows that he can download 16 songs before running out of storage on his phone.

A previous survey of Washington residents showed that 18% of residents accessed a state park within the last 12 months. This year, the state would like to re-administer the survey, but wants to be sure the Margin of Error in their new study will be at most 4%. Assuming they believe the previous survey's results were reliable, how many samples should they take to ensure their Margin of Error is at most 4% if they plan to analyze the data using a 95% confidence interval

Answers

Using the z-distribution for the margin of error, it is found that 355 samples should be taken.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which  z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The estimate is of 18%, hence [tex]\pi = 0.18[/tex].

95% confidence, hence [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The minimum sample size is n for which M = 0.04, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.18(0.82)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.18(0.82)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.18(0.82)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.18(0.82)}}{0.04}\right)^2[/tex]

[tex]n = 354.4[/tex]

Rounding up, 355 samples should be taken.

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If g(t) = 5t^2 - 3t - 3 and h(t) = 7t^2 + 9t - 8, find g(t) + h(t)

Answers

[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]

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