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Ostrovityanka [42]
3 years ago
11

A^4 + 2b OVER a; if a =3 and b = 12

Mathematics
1 answer:
Tems11 [23]3 years ago
6 0

Answer:

105

Step-by-step explanation:

Given : a = 3, b = 12

3 ⁴ = 81

2 x 12 = 24

Result:

81 + 24

= 105

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2 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

Let y be the number of bacteria at any time

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

\frac{dy}{dt}\proportional y

\frac{dy}{dt}=ky

Where k=Proportionality constant

2.\frac{dy}{y}=kdt,y'(0)=100

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ln 200=k(0)+C

C=ln 200

Substitute the value of C then we get

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

y=200e^{kt}

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y'=200ke^{kt}

Substitute the given condition then, we get

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

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y=200(2.718)=543.6=543.6

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0
4 years ago
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