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yulyashka [42]
3 years ago
10

15. An irregular pentagon has side lengths of (x + 3), (2x - 4), (4x + 5),

Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

Answer:

A. 11x-3

Step-by-step explanation:

perimeter=sum of all sides

=(x+3)+(2x-4)+(4x+5)+(3x-1)+(x)

= 11-3

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marin [14]

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This is because the longest side in triangle WXY is side XY (15 units), therefore making the largest angle in that triangle, angle XWY, or angle W.

Step-by-step explanation:

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3 years ago
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

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\frac{dy}{dt}=Number of bacteria per unit time

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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

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322. So this is correct or wrong

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