PLEASE HELPP, DONT SCAM!! The table below represents a function. Which of the following equations could be its function rule?

a. the Laplace transform of a(t) is (28/s^2) + (3/s) + (4/s). b. the Laplace transform of b(t) is 5/s - 10/(s + 2) - 10/(s^3 + 2s^2).

a. To find the Laplace transform of a(t) = 28t + 3 + 4u(t), where u(t) is the unit step function, we can apply the linearity property and the transform of elementary functions.

Applying the linearity property, we can split the transform into three parts:

L{28t} + L{3} + L{4u(t)}

Using the transform of t (L{t} = 1/s^2), we get:

28/s^2 + 3/s + 4/s

Simplifying, we can combine the terms:

(28/s^2) + (3/s) + (4/s)

Therefore, the Laplace transform of a(t) is:

(28/s^2) + (3/s) + (4/s).

b. To find the Laplace transform of b(t) = 5 - 5e^(-2t)(1 + 2t), we can again apply the linearity property and the transform of elementary functions.

Applying the linearity property, we can split the transform into two parts:

L{5} - L{5e^(-2t)(1 + 2t)}

The transform of 5 is simply 5/s.

For the second part, we need to use the transform of e^(-at) and t.

The transform of e^(-at) is 1/(s + a), and the transform of t is 1/s^2.

Using these formulas, we get:

-5/(s + 2)(1 + 2/s^2)

Simplifying and combining terms, we have:

5/s - 10/(s + 2) - 10/(s^3 + 2s^2)

Therefore, the Laplace transform of b(t) is:

5/s - 10/(s + 2) - 10/(s^3 + 2s^2).

Learn more about Laplace transform here

https://brainly.com/question/29583725

#SPJ11

hmmm I dunno sorry ......

Answer:

y = -2x + 3

Step-by-step explanation:

If you do rise/run, you recognize that the slope of the line is -6/3, which = -2. You can also see that the y-intercept of the line is at 3.

The equation of a line is represented by y=mx+b, with m being the slope and b being the y-intercept value.

Just plug in -2 as m and 3 as b in y=mx + b, and you will get your answer.

Answer:

multiply 75.4 by 60 =4,524

Step-by-step explanation:

Nsjssjsjsjshsnmsksjnsnsns

The opposite sides are parallel.

Their angle measures add to 360°

Answer:

6(x - 3 ) = 6x - 18

2(3x - 3) = 6x - 6

Step-by-step explanation:

Answer:

2/5x7

Step-by-step explanation:

Answer:

It's exponential

Step-by-step explanation:

Answer:

13 mm

Step-by-step explanation:

V = πr²h

4,939.22 mm³ = 3.14 × (11 mm)²h

4,939.22 mm³ = 3.14 × (11 mm)²h

h = 13 mm

Answer: 13 mm

a) If there are at least 10 bagels of each type, we can calculate the number of different selections of 10 bagels by using the concept of combinations. Since there are 5 types of bagels and we need to select 10 bagels, the calculation can be done as follows:

[tex]\(\binom{10+5-1}{10} = \binom{14}{10}\)[/tex]

b) If there are 3 chocolate chip and 2 cinnamon raisin bagels, and at least 10 of the other three types, we can calculate the number of different selections of 10 bagels using the same concept of combinations. In this case, we have 3 types of bagels (excluding chocolate chip and cinnamon raisin) with at least 10 bagels each. So the calculation becomes:

[tex]\(\binom{10+3-1}{10} = \binom{12}{10}\)[/tex]

To know more about possibilities visit-

brainly.com/question/14004554

#SPJ11

The function f(x) is discontinuous at x = 0 and x = 1.To determine the points of discontinuity, we need to look at the different intervals defined by the function.

At x = 0, the function has different definitions for the left and right sides of the point. For x < 0, f(x) = x + 3, and for x ≥ 0 and x ≤ 1, f(x) = 3x^2. Therefore, at x = 0, f(x) is discontinuous. It is continuous from the left (approaching from x < 0) and from the right (approaching from x > 0).

At x = 1, the function has different definitions for the left and right sides of the point. For x ≤ 1, f(x) = 3x^2, and for x > 1, f(x) = 3 - x. Therefore, at x = 1, f(x) is discontinuous. It is continuous from the left (approaching from x ≤ 1) and from the right (approaching from x > 1).

To learn more about continuous

brainly.com/question/31523914

#SPJ11

Answer:

She will make a total commission of $1130+$325=$1445

Then 5% of $1445= $1445×5%=$72,75

Answer:

7. 13.25mm

8. 83.25 mm

9. 551.55 mm²

Step-by-step explanation:

The shape of a coin is circular.

A Susan B. Anthony dollar coin has a diameter of 26.5 millimeters. Round your final answers to the nearest hundredth. Show your steps.

7. What is the radius?

The formula for radius = Diameter/2

= 26.5 mm/2

= 13.25 mm

8. What is the circumference?

The formula for the circumference of a circle = 2πr

= 2× π × 13.25mm

= 83.25220532 mm

Approximately to the nearest hundredth = 83.25 mm

9. What is the area?​

The formula for the area of a circle = πr²

= π × (13.25mm)²

= 551.54586025 mm²

Approximately to the nearest hundredth = 551.55 mm²

Answer:

138 + 27.6 = 165.6

Step-by-step explanation:

Please give brainliest

Answer:

-84

Step-by-step explanation:

Since m=-4, we can plug -4 into the expression and use PEMDAS

7(m - 8)

7((-4)-8)

7(-12)

-84

Answer:

The first choice is the correct one.

Step-by-step explanation:

The first choice is the correct one.  It starts with the base salary and then is multiplied by (1 + 0.02)^t, which is the correct formula for compounding once per year.

Step-by-step explanation:

In math the area of the parallelogram equal the base times the high

Where.....

A stand for (Area)

b stand for (Base)

h stand for (High)

Like shown in the photo above

I hope that is useful for you :)

The exact value of A in the general solution is 87/2 and B is 0

From the question, we have the following parameters that can be used in our computation:

y = Ax² + Bx + C

The differential equation is given as

y' = 87x

When y = Ax² + Bx + C is differentiated, we have

y' = 2Ax + B

So, we have

87x = 2Ax + B

By comparing both sides of the equation, we have

2Ax = 87x

B = 0

So, we have

2A = 87

B = 0

Divide both sides of 2A = 87 by 2

A = 87/2

B = 0

Hence, the value of A in the general solution is 87/2 and B is 0

Read more about differential equation at

https://brainly.com/question/1164377

#SPJ4

Answer:

You did not take the picture correctly, try taking it again

Step-by-step explanation:

I can’t seeeee

Answer:

Did this help?

Step-by-step explanation:

hola'

your answer is going to be 2.22 or 0.002 i think .

Answer:

0.75

Step-by-step explanation:

There are 3 favorable outcomes (pink, green, or blue).

There are 4 possible outcomes since there are 4 equal sectors.  

​

P(not purple)=3/4 =0.75

Answer:

A. Increasing by 4%.

Step-by-step explanation:

Answer:

A) The price of product A is increasing by 3% per year.

(B) The product A recorded a greater percentage change in price over the previous year.

Step-by-step explanation:

(A)

The function representing the price, in dollars, of product A after x years is:

FA(x)=0.69*(1.03)x

The function  FA(x)can be written as:

FA(x)=0.69*1+(0.03)x

The function FA(x) is similar to the exponential growth function, y=a(1+r)x .

Here r is the growth rate.

Thus, it can be said that the price of product A is increasing by 3% per year.

(B)

Consider the data of product B for the year 3 and 4.

The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.

Compute the percent price change from year 3 to 4 as follows:

10406.04-10303.01/10303.01*100

which is 0.999%

~1%

The price of product B is increasing by 1% per year.

Thus, the product A recorded a greater percentage change in price over the previous year.

Step-by-step explanation:

d=2r

πr^2

10/2=r

5=r

5^2π

25π=78.5398

Hope that helps :)

Answer:

B

Step-by-step explanation:

Answer:

$360

Step-by-step explanation:

Find 3% of 500 = 15

Multiply 15 by 24 = 360

Answer:

please give more information

Step-by-step explanation: