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goblinko [34]
3 years ago
13

A colony of bacteria is growing in a petri dish which has a maximum capacity of 80mg. The mass of bacteria is increasing at a ra

te given by the logistic equation. Initially there is 2mg of bacteria and the rate of increase is 1mg per day.
1) Write down the logistic equation satisfied by the mass, m.
m? =
2) When will the mass of bacteria be 40mg?
number of days =
3) What is the mass (in GRAMS) of bacteria 10 days after the mass was 2mg?
mass = ____ grams
Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0
Wjejejejejejejeeejejejjsjejee
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A customer will be charged extra if the weight of their suitcase is above 48 pounds.
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w>48 pounds

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The customer will be charged extra if the weight of their suitcase is above 48 pounds.

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Rewrite the expression in the form... (PLZ HELP QUICK I'LL GIVE BRAINLIEST)
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3 years ago
A cell phone provider classifies its customers as Low users (less than 400 minutesper month) or High users (400 or more minutes
Svet_ta [14]

Answer:

a ) See step by step explanation

b) 50%   and  50%

Step-by-step explanation:

The definition of type of user x is:

if x < 400 minutes  per month  low user

if x > 400 minutes per month  high user

The value for these states are of course yes  or no  ( the user is low or high user)

Then:

if the user is low today  xt  (0)    we have the probability of 80% ( 0,8) of have the user in the same condition and 20% (0,2) of having him or her as high user

xt = 1      

If the user is high today xt (1) is high today we have the probability of 70% ( 0,7) of having  the user in the same condition and 30% (0,3) of having him or her as high user

a) Then we construct the stochastic matrix

 Type of user

         (xt)               xt         xt+1  

      Low (0) or L   0,8        0,2

     High(1)  or H   0,3        0,7

The resulting equation system is:

xt  =  0,8* xt  +  0,2* xt+1

xt+1  = 0,3*xt + 0,7* xt+1

1  =  xt + xt+1

Solving for variables         xt+1  =  1  - xt

xt  = 0,8*xt + ( 1 - xt ) * 0,2

xt - 0,8*xt = 0,2 - 0,2xt

xt - 0,6*xt = 0,2

0,4*xt = 0,2

xt = 0,5       and     xt+1  = 0,5

b)  If in January 0,5  ( 50%) of customesr were  low user

In february  teh % of low user customer wll be

xt  =  0,8* xt  +  0,2* xt+1

0,5 = 0,8*0,5 + 0,2*xt+1

0,5 = 0,4 + 0,2 *xt+1

0,1/0,2 = xt+1        xt+1 = 0,5       or   50%

The same answer for March

7 0
3 years ago
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