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kozerog [31]
3 years ago
11

The sum of three consecutive odd numbers is 111. What is the smallest of the three numbers? Please write an equation and show al

l work.
Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0
Numbers are:

2x+1, 2x+3, 2x+45

Sum:

2x+1+2x+3+2x+5=111
6x=111-9
6x=102
x=17

Smaller = 2x+1 = 35
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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
−2y−8+4yminus, 2, y, minus, 8, plus, 4, y
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Gala2k [10]
Area of the larger square = 12² = 144 cm²
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