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3 years ago

What is the answer of 4x if x=2

Mathematics

2 answers:

Marina86 [1]3 years ago

4 0

Answer:21

Step-by-step explanation:

X =21

Semmy [17]3 years ago

3 0

Answer:

Step-by-step explanation:

4(x)

4(2)

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Use the laplace transform to solve the given initial-value problem. y' 5y = e4t, y(0) = 2

Basile [38]

The Laplace transform of the given initial-value problem

$y' 5y = e^{4t}, y(0) = 2$ is mathematically given as

$y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}$

<h3>What is the Laplace transform of the given initial-value problem? y' 5y = e4t, y(0) = 2?</h3>

Generally, the equation for the problem is mathematically given as

$&\text { Sol:- } \quad y^{\prime}+s y=e^{4 t}, y(0)=2 \\\\&\text { Taking Laplace transform of (1) } \\\\&\quad L\left[y^{\prime}+5 y\right]=\left[\left[e^{4 t}\right]\right. \\\\&\Rightarrow \quad L\left[y^{\prime}\right]+5 L[y]=\frac{1}{s-4} \\\\&\Rightarrow \quad s y(s)-y(0)+5 y(s)=\frac{1}{s-4} \\\\&\Rightarrow \quad(s+5) y(s)=\frac{1}{s-4}+2 \\\\&\Rightarrow \quad y(s)=\frac{1}{s+5}\left[\frac{1}{s-4}+2\right]=\frac{2 s-7}{(s+5)(s-4)}\end{aligned}$

$\begin{aligned}&\text { Let } \frac{2 s-7}{(s+5)(s-4)}=\frac{a_{0}}{s-4}+\frac{a_{1}}{s+5} \\&\Rightarrow 2 s-7=a_{0}(s+s)+a_{1}(s-4)\end{aligned}$

$put $s=-s \Rightarrow a_{1}=\frac{17}{9}$$

$\begin{aligned}\text { put } s &=4 \Rightarrow a_{0}=\frac{1}{9} \\\Rightarrow \quad y(s) &=\frac{1}{9(s-4)}+\frac{17}{9(s+s)}\end{aligned}$

In conclusion, Taking inverse Laplace tranoform

$L^{-1}[y(s)]=\frac{1}{9} L^{-1}\left[\frac{1}{s-4}\right]+\frac{17}{9} L^{-1}\left[\frac{1}{s+5}\right]$ \\\\$

$y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}$

Read more about Laplace tranoform

brainly.com/question/14487937

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6 0

2 years ago

Witch statements are true about lines? Select three options

kykrilka [37]

Answer:

A line of symmetry divides a shape into two equal parts. I think....

Step-by-step explanation:

6 0

3 years ago

The interior angles of a triangle have measures k°, 27°, and 10°.<br><br> What is the value of k?

NikAS [45]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~

Assuming that the sum of all the angles must equal 180°

180 - (27+10) = k

180 - 37 = k

k = 143°

6 0

4 years ago

Susan was supposed to use 5/4 of a cup of butter

ElenaW [278]

Answer:

$a.\ \dfrac{3}{5}$

Step-by-step explanation:

We can see the fractions $\frac{5}{4}$ and $\frac{3}{4}$ of cups.

It can be seen that denominator has 4 i.e. the fraction $\frac{1}{4}$ .

Let us suppose, a unit is equal to $\frac{1}4$ of a cup.

Susan was supposed to use $\frac{5}{4}$ of a cup.

i.e. 5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

$\text{Fraction of butter used} = \dfrac{\text{Units of butter used}}{\text{Unit of butter Susan was supposed to use}}$

a. $\text{Fraction of butter used} = \dfrac{3}{5}$

Alternatively, we could have directly divided the given fractions:

$\dfrac{\dfrac{3}{4}}{\dfrac{5}{4}} = \dfrac{3}{5}$

4 0

3 years ago

Answers for 11,12,13

lisabon 2012 [21]

My picture for 11 shows how you would set that up. S is the midpoint meaning it is directly in the center so both sides will be equal.
5x+17=8x-31
48=3x
16=x
now put that in for the x in RS
5(16)+17
80+17
RS=97

12)
same as 11 but you have a picture already. if a line bisects it then it is cut into 2 equal parts.
4-5x=2x+25
-21=7x
-3=x
put it in for both halves of AC
(4-5(-3))+(2(-3)+25)
4+15-6+25
AC=38

13)
You can find DE by subtracting CD by CE (49)
since we already have CE we just have to find CD which is equal to AC which has been set up in the same way as 11 and 12 except now we'll have to set up the equation differently.
2(3x+4)=11x-17
it's set up like this because we only have one half and the whole line.
2 times the half equals the lines length.
6x+8=11x-17
25=5x
5=x
put that in for the line AC
11(5)-17
55-17
38
and so CD equals 38
going back to the original solution:
DE=CE-CD
DE=49-38
DE=11

8 0

3 years ago