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olganol [36]
3 years ago
13

Please help! 3(x - 5) = 6 x =

Mathematics
1 answer:
Orlov [11]3 years ago
3 0
The answer is 7 distributed and you get 3x-15=6 add 15 to both sides you get 3x=21 and x equals 7
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Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).
zzz [600]

Answer:

F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

Step-by-step explanation:

We have given F(S)=\frac{7e^{-7s}}{s^2-49}

Now  F(S)=e^{-7s}G(s)

Here G(S)=\frac{7}{S^2-49}

Now first find the Laplace inverse of G(S)

Using partial fraction

\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}

7=A(S-7)+B(S+7)

On comparing the coefficient

A=\frac{1}{2}  and B=\frac{-1}{2}  

On putting the value of A and B  

G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}

Taking inverse Laplace

G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}

Now in G(s) there is onether term e^{-7s}

So F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

6 0
3 years ago
I don’t quite understand this problem could someone help me please
ale4655 [162]

Answer:

\frac{7\sqrt{65}}{65}

Step-by-step explanation:

Cosine is the ratio of the side adjacent to the angle and the right triangle hypotenuse.

cos B = \frac{7}{\sqrt{65}} = \frac{7\sqrt{65}}{65}

3 0
2 years ago
Can someone help me with this please
Yuri [45]

Answer:

ofc ill help! x=-35

Step-by-step explanation:

4 0
3 years ago
Divide.help me I'm stuck!<br> 23÷45
anyanavicka [17]

Answer:

0.511111111111111

Step-by-step explanation:

23/45 In a calculator comes out to that.

6 0
3 years ago
Read 2 more answers
The odds that you will pick a heart from a standard deck of 52 cards is 13:39.
podryga [215]
Not exactly sure but I think it's false hope this helps
3 0
3 years ago
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