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2 years ago

CAN SOMEONE HELP ME PLS?

Mathematics

1 answer:

Mumz [18]2 years ago

7 0

Answer:

√13

Step-by-step explanation:

1/33 is a fraction, meaning it is rational

1.6... has a repiton, meaning it is rational

-5.43 is a integer meaning it is rational

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

7 0

3 years ago

In October of 2010 it rained 4 inches. In October of 2011 it rained 2.6 inches. What is the percent decrease in October rainfall

Bumek [7]

The percent decreased by 65%

5 0

3 years ago

What is the remainder of 5x^2 - 3x - 36 divided by x - 3

lidiya [134]

Answer:

5x^-3x-36/x-3

Step-by-step explanation:

3 0

3 years ago

Using the slope formula, find the slope of the line through the given points.<br> (1,6) and (3,4)

svlad2 [7]

To find slope you do y2-y1 over x2-x1. So 4-6 is -2. And 3-1 is 2. So -2/2 is -1. The slope is -1.

7 0

2 years ago

If q/18 = 5 what does q = to

qaws [65]

Answer:

Q= 90

Step-by-step explanation:

To do this problem you need to get q by itself and to do that you would move the 18 over

When you move the 18 over however you need to multiply and you will get 90

When ever you want to get a variable by itself always remember to switch the sign so if it was positive then switch it to negative and vice versa. It will also apply to multiplication and division just like this one

7 0

2 years ago

Read 2 more answers