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JulsSmile [24]
4 years ago
5

|10 - (-43)| absoulute value

Mathematics
2 answers:
galben [10]4 years ago
8 0
OK so you would treat the absolute value line kind of like parentheses. First you would do the work inside then take the absolute value. In case you don't know absolute value is how far something is from zero
|10-(-43)|
|53|
53
Semenov [28]4 years ago
7 0
Since the absolute value of anything is always a positive number, you have the absolute value of 10 minus negative 43, which is really 10 + 43. You now have 53, since a double negative in math is a positive. Now youre left with |53|, and so your answer is the absolute value of positive 53, meaning your answer is 53.
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Inverse laplace of L^-1 {5s/s^2 + 3s - 4}​
Salsk061 [2.6K]

Answer:

e^t+e^{-4t}

Step-by-step explanation:

We have to simplify the original function using partial fraction, hence:

\frac{5s}{s^2+3s-4} =\frac{5s}{(s-1)(s+4)}\\\\=\frac{A}{s-1}+\frac{B}{s+4}\\\\Therefore:\\\\\frac{A(s+4)+B(s-1)}{(s-1)(s+4)}=\frac{5s}{(s-1)(s+4)}\\\\Eliminating\ the \ denominator:\\\\A(s+4)+B(s-1)=5s\\\\substitute\ s=1:\\\\A(1+4)+B(1-1)=5(1)\\\\5A=5\\\\A=1\\\\tsubstitute\ s=-4:\\\\A(-4+4)+B(-4-1)=5(-4)\\\\-5B=-20\\\\B=4\\\\Therefore\ substituting\ A\ and\ B\ gives:\\\\\frac{5s}{s^2+3s-4}=\frac{1}{s-1}+ \frac{4}{s+4}\\\\

From\ Laplace\ inverse:\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=e^{t}+4e^{-4t}

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3 years ago
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X+(x+1)+(×+2)=336. the question is the sum of three consecutive integers is 336​
vodomira [7]

Answer:

x = 111

Step-by-step explanation:

1.) x + (x + 1) + (x + 2) = 336

2.) x + x + 1 + x + 2 = 336

3.) 3x + 3 = 336

4.) 3x = 333

4.) x = 111

Check Work:

1.) 111 + (111 + 1) + (111 +2) = 336

2.) 111 + 111 + 1 + 111 + 2 = 336

3. ) 222 + 1 + 111 + 2 = 336

4.) 222 + 114 = 336

5.) 336 = 336

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3 years ago
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kari74 [83]

Answer:

perpendicular

Step-by-step explanation:

2-x =3y

3y = 2-x

y = -1/3x+2/3

slope is -1/3

2y +10 = 6x

2y = 6x -10

y = 3 -5

slope is 3

-1/3 and 3 are negative reciprocals so the lines are perpendicular.

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4 years ago
What is 6.92 with an exponent of 0?
Zigmanuir [339]
It will be 1 because your multiplying it by 0
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3 years ago
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