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amm1812
3 years ago
12

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate

parameter of
6.4
%

per hour. How many hours does it take for the size of the sample to double?
Note: This is a continuous exponential growth model.

Do not round any intermediate computations, and round your answer to the nearest hundredth.
Mathematics
1 answer:
nikdorinn [45]3 years ago
4 0
Log(2)/log(1.064) ≈ 11.17 . . . . hours

_____
The population can be given by
  p(n) = p₀×1.064ⁿ . . . . where n is the number of hours
You want to find n whe p(n) = 2*p₀.
  2p₀ = p₀×1.064ⁿ . . . . . . . . . . . . substitute the given information
  2 = 1.064ⁿ . . . . . . . . . . . . . . . . . divide by p₀
  log(2) = n×log(1.064) . . . . . . . . take logs to make it a linear equation
  log(2)/log(1.064) = n . . . . . . . . divide by the coefficient of n
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Josh takes a load of dress shirts to the dry cleaners. The amount he pays for dry cleaning (
saw5 [17]
The amount he pays is the number of shirts times 3 / 2 (or 1.5) 
unless the equation is f=3/(2s) where the cost would then be the number of shirts times two, divided by three
7 0
3 years ago
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The three angles of a triangle are in the ratio 5:4:1. Find all the angles of the triangle.
solniwko [45]

Answer:

Step-by-step explanation:

let the first angle be 5x

second be 4x

and third be 1x

as we know that by adding all the sides of triangle we get 180°

therefore  ,

5x+4x+1x=180°

10x=180°

hence ,  

x=18°

first angle - 18*5 = 90°

second angle - 18*4=72°

third angle - 18°

HOPE THIS HELPS YOU !!!

6 0
3 years ago
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The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb,
NNADVOKAT [17]

Answer:

bbbb,

bbbg, bbgb, bgbb, gbbb,

bbgg, bgbg, bggb, gbgb, gbbg, ggbb,

bggg, gbgg, ggbg, gggb,

gggg

Step-by-step explanation:

3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg

4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg

You need to take a methodological approach;

The 2 easiest are the possibility of all boys and all girls;

Then consider 3 boys and 1 girl:

bbbg, bbgb, bgbb, gbbb

Then 2 boys and 2 girls:

bbgg, bgbg, bggb, gbgb, gbbg, ggbb

Lastly, 1 boy and 3 girls:

bggg, gbgg, ggbg, gggb

In total, there are 16 possibilities

P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:

       1

     1   1

   1  2  1

 1  3  3  1

1  4  6  4  1

The last row is relevant here;

There is 1 possibility where there are 4 boys;

There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;

There are 6 possibilities where there are 2 boys and 2 girls

There are 4 possibilities where there is 1 boy and 3 girls;

There is 1 possibility where there are 4 girls;

The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;

If your talking about 3 children, it would match the 4th row of Pascal's triangle;

So, 1 possibility of 3 boys;

3 possibilities of 2 boys and 1 girl;

3 possibilities of 1 boy and 2 girls;

And 1 possibility of 3 girls;

If your talking about 10 children, it would match the 11th row of Pascal's triangle.

(Maths can be so cool XD)

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algol [13]

Answer:

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Step-by-step explanation:

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2 years ago
Please help me with the whole problem.
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Answer:

1. $155 ≥ $31.50p + $13.25

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