3 years ago

What is the answer of this

Mathematics

1 answer:

MaRussiya [10]3 years ago

4 0

Answer:

The answer is 1/m^8

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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:

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

3 0

3 years ago

The circumference of a circular field is 194.68 yards. What is the radius of the field? Use 3.14 for in and do not round your an

TEA [102]

Answer: 30.9842843211

Step-by-step explanation:

194.68÷3.14= 61.9685686423

61.9685686423÷2= 30.9842843211

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4 years ago

How do I solve this problem correctly?

In-s [12.5K]

You have to find the parameter first!

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4 years ago

What is parrel to the equation y=-1/3-x-1

dolphi86 [110]

Answer:

parallel

−

Step-by-step explanation:

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3 years ago

A cake company makes chocolate and vanilla cakes. The ratio of chocolate cakes to vanilla cakes is 3:4. What is the ratio of the

aleksley [76]

Answer:

4:7

Step-by-step explanation:

4:7

they make 7 cakes in total (3:4 = 7).

there are 4 vanilla cakes.

therefore, the ratio of vanilla cakes to the total number of cakes is 4:7.

6 0

3 years ago