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lianna [129]
3 years ago
13

There are two paths that one can use to go from Sarah’s house to James’ house. One way is to take C street, and the other way re

quires you to use A street B street. How much shorter is the direct path along C street?
Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

2.5 < 3.5, 3.5 – 2.5 = 1.

C street is shorter by 1 mile

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At a pie eating contest Jonny, Jonny are 8 pies in 5 minutes. How much time did he spend on each pie?
Klio2033 [76]
Johnny ate 8 pies in 5 minutes

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3 years ago
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A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri
GuDViN [60]

Answer:

1.\frac{dy}{dt}=ky

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

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\frac{dy}{dt}\proportional y

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Where k=Proportionality constant

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lny=kt+C

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Substitute the values then , we get

ln 200=k(0)+C

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Substitute the value of C then we get

ln y=kt+ln 200

ln y-ln200=kt

ln\frac{y}{200}=kt

\frac{y}{200}=e^{kt}

y=200e^{kt}

Differentiate w.r.t

y'=200ke^{kt}

Substitute the given condition then, we get

100=200ke^{0}=200 \;because \;e^0=1

k=\frac{100}{200}=\frac{1}{2}

y=200e^{\frac{t}{2}}

Substitute t=2

Then, we get y=200e^{\frac{2}{2}}=200e

y=200(2.718)=543.6=543.6

e=2.718

Hence, the number of bacteria after 2 hours=543.6

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Answer:

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Step-by-step explanation:

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Which graph represents a function?​
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