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3 years ago

Please help me ill mark you brainliest and please show your work :)

Mathematics

1 answer:

Nana76 [90]3 years ago

7 0

Answer:

Step-by-step explanation:

Multiply both sides of the equation by 8/5.

4x-16=32

Move 16 to the other side

4x=32+16

add numbers on the right side

4x=48

divide both sides by 4

x=12

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Solve for the function X(s) in the Laplace domain by taking the Laplace transform of the following differential equations with g

Sedaia [141]

Answer:

X(s) = 2/[s³(s + 9)]

Step-by-step explanation:

Here is the complete question

Solve for the function X(s) in the Laplace domain by taking the Laplace transform of the following differential equations with given initial conditions.

dx/dt + 9x = 16t² x(0) = 0 and dx(0)/dt = 5

Solution

dx/dt + 9x = 16t²

Taking the Laplace transform of the differential equation, we have

L{dx/dt + 9x} = L{16t²}

L{dx/dt} + L{9x} = L{16t²}

L{dx/dt} + 9L{x} = 16L{t²}

sL{x} - x(0) + 9L{x} = 16L{t²}

L{x} = X(s)

L{t²} = 2!/s³

Substituting X(s) and L{t²} into the equation above, we have

sX(s) - x(0) + 9X(s) = 2!/s³

Substituting x(0) = 0 into the equation above, we have

sX(s) - x(0) + 9X(s) = 2!/s³

sX(s) - 0 + 9X(s) = 2!/s³

sX(s) + 9X(s) = 2!/s³

Factorizing X(s), we have

(s + 9)X(s) = 2!/s³

X(s) = 2/[s³(s + 9)]

So X(s) in the Laplace domain is

X(s) = 2/[s³(s + 9)]

3 0

3 years ago

I'm not sure thinking reflection but do not want to confuse my child if he is right. He is thinking translation

irakobra [83]

Answer:

That is indeed a reflection

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The ramp shown in the diagram has a rise of 225 cm and it makes an angle 40° with the floor.

Kazeer [188]

The length of the ramp calculated using Pythagoras is approximately 350 cm

From the diagram attached :

Height of ramp = opposite = 225 cm

Angle of inclination, θ = 40°

Using Pythagoras ; the length of the ramp can calculated as follows :

Sin θ = opposite / hypotenus

Sin 40° = 225 / hypotenus

Cross multiply

Hypotenus × 0.6427876 = 225

Divide both sides by 0.6427876 to isolate the hypotenus

Hypotenus = 225 / 0.6427876

Hypotenus = 350.03786 cm

Therefore, the length of the ramp which is the hypotenus is approximately 350 cm

Learn more : brainly.com/question/10040532

6 0

3 years ago

I don’t know how to do this can someone please help

bezimeni [28]

The polynomial is subtracted using the distributive property.
.. (16k^3 -3v^4) -(-9k^3 +6v^4)
.. = 16k^3 -3v^4 +9k^3 -6v^4
.. = (16 +9)k^3 +(-3 -6)v^4
.. = 25k^3 -9v^4

"Invert" means different things in different contexts. Here we suppose it means you simply want the reciprocal of this difference:

$\frac{1}{25k^{3} -9v^{4}}$

8 0

3 years ago

Determinar que tipo de número racional es 34/34

Natasha_Volkova [10]

Answer:

1 (Integers and whole number)

Step-by-step explanation:

Given:

Rational number = 34 / 34

Computation:

34 / 34 = 1

Integers and whole number

An integer is descriptively measured by the number without even a fraction which can be written.

7 0

3 years ago