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Elis [28]
3 years ago
13

In which situation do the quantities combine to make 0? A Kurt deposited $50 into his checking account on Friday. The next week,

he deposited $50 into his savings account. B A football team gained 4 yards on one play and lost 2 yards on the next play. C The temperature at 10 pm was 6°C. Over the next 3 hours, the temperature decreased by 2°C each hour. D Marci spends $8 to make a necklace and earns $8 from each bracelet sold. On Saturday, she made 5 necklaces and sold 10 bracelets.
Mathematics
1 answer:
poizon [28]3 years ago
8 0
C. The temp at 10pm was 6°C. Over the next 3 hours, the temp dropped 2°C/hr.

6 -2(3) = 0
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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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\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

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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
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