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balandron [24]
2 years ago
8

Can somebody help me immediately ! I will really appreciate it !

Mathematics
1 answer:
Sloan [31]2 years ago
7 0

9514 1404 393

Answer:

  A. 3 packs

  B. $78.84

Step-by-step explanation:

A. Two bottles for each of 26 guests is a total of 2×26 = 52 bottles.

That many bottles will be found in 52/18 = 2 16/18 packs of bottles. Since Eliana cannot purchase partial packs, she will need to buy 3 packs of bottles.

__

B. Each pack costs $26.28, so the cost of 3 packs is 3×$26.28 = $78.84. Eliana will spend $78.84 on water for her guests.

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Please help me with the below question.
Snezhnost [94]

6a. By the convolution theorem,

L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}

6b. Similarly,

L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}

7. Take the Laplace transform of both sides, noting that the integral is the convolution of e^t and f(t).

\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau

\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)

where g(t) = e^t. Then G(s) = \frac1{s-1}, and

F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}

We have the partial fraction decomposition,

\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)

Then we can easily compute the inverse transform to solve for f(t) :

F(s) = -\dfrac1s + \dfrac4{s+3}

\implies \boxed{f(t) = -1 + 4e^{-3t}}

6 0
1 year ago
BEST ANSWER GETS BRAINLIEST, PLZ ANSWER!!!!
Inga [223]

Answer:

they both = 100

Step-by-step explanation:

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3 years ago
Larry says all
MaRussiya [10]

Answer:

larry is incorrect because the number 2 is not a composite number, although numbers 12, 22, 32, 42, 52, 62, 72, 82, and 92 are composite, 2 isn't

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Bob can cut through a log in two minutes. How long will it take Bob to cut a 20 foot in 2 sections?
igor_vitrenko [27]
It’ll take him 18 minutes
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3 years ago
If 3 bags of chips cost $6.39, what is the unit ratio? Show your work please ^-^
KonstantinChe [14]

$6.39/3 bags = x dollars/1 bag

x dollars = $6.39/3 bags = $2.13 : 1 bag

5 0
3 years ago
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