3 years ago

8.3: How Many Sandwiches?

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Answer:

1 sanwitch so if u look at the question closesly u will find out

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Without performing division, determine if the integer 890967 is divisible by 9

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A number is divisible by 9 if the sum of its digits is divisible by 9

here the sum 39 not divisible by 9

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Shen will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $49.96 and costs an a

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The two equations are:
y=.17x+35.96
y=.12x+49.96

He would have to drive 280 miles for both of them to cost the same.

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6x less or equal to 12

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X less than or equal to 2

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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:

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

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

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3 years ago