3 years ago

Someone help me plzzz. Quickkkkkk

Mathematics

1 answer:

Nuetrik [128]3 years ago

8 0

Answer:

They can make 5 posters.

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A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

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3 years ago

Whats the reciprocal of 4 3/7

Angelina_Jolie [31]

Answer

0.22580645161

Step-by-step explanation:

you just have to do 4 3/7 in a calculator

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3 years ago

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3 years ago

WILL GIVE BRAINLIST ANSWERS

enot [183]

Answer:

-10

-I-8I = -8

-(-2) = 4

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Answer: -10, -8, 4, 11, 25

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3 years ago

Find the volume of the given solid region in the first octant bounded by the plane 9z+15y+15z=45 and the coordinate planes, usi

dem82 [27]

First,

$9x+15y+15z=45\implies 3x+5y+5z=15$

The volume is given by the integral (one of 6 possible combinations),

$\displaystyle\int_0^5\int_0^{\frac{15-3x}5}\int_0^{\frac{15-3x-5y}5}\mathrm dz\,\mathrm dy\,\mathrm dx=\boxed{\frac{15}2}$

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3 years ago