All categories

3 years ago

The number of bacteria in a lab experiment can be modeled by the function

Mathematics

1 answer:

vodomira [7]3 years ago

6 0

Answer:

$P(t) = 1161(9)^{t}$

Step-by-step explanation:

Given

$P(t) = 43(3)^{2t+3}$

Required

Write in form of $P(t) =ab^t$

$P(t) = 43(3)^{2t+3}$

Apply law of indices:

$P(t) = 43(3)^{2t}*3^3}$

Reorder

$P(t) = 43*3^3*(3)^{2t}$

Express $3^3$ at 27

$P(t) = 43*27*(3)^{2t}$

$P(t) = 1161*(3)^{2t}$

Rewrite as:

$P(t) = 1161*(3^2)^{t}$

Express $3^2$ as 9

$P(t) = 1161*(9)^{t}$

$P(t) = 1161(9)^{t}$

You might be interested in

What is the probability of drawing the compliment of a king or a

inna [77]

Answer:

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

Step(i):-

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

$n( E_{1} ) = 4 _{C_{1} } = 4$

Let E₂ be the event of the card drawn being a queen

$n( E_{2} ) = 4 _{C_{1} } = 4$

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

step(ii):-

The probability of drawing of a king or a queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

$= \frac{4}{52} + \frac{4}{52}$

P( E₁ U E₂ ) = $\frac{8}{52}$

step(iii):-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards

$P(E_{1}UE_{2}) ^{-} = 1- P(E_{1} U E_{2} )$

$P(E_{1}UE_{2}) ^{-} = 1- \frac{8}{52}$

$P(E_{1}UE_{2}) ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846$

Conclusion:-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

5 0

3 years ago

The secret to football betting

padilas [110]

What is the SECRET to football BETTING ??

8 0

3 years ago

What would 5.36 be in a fraction Please explain how you got the answer too.

garri49 [273]

So you have 5.36
that is 5 wholes and 0.36
0.36 can be written on a fraction of 36/100
simplify it to 9/25
Now you have the mixed number
5 9/25 or to write it into an improper fraction... multiply 25 * 5 then add 9, that is 134/25.

Hope this helps

7 0

3 years ago

Read 2 more answers

Bob read 12 pages. this is 6% of the number of pages he has to read. how many pages must he read to complete his book?

wel

200 pages because when 12 is 6% then 100% would be 200

6 0

3 years ago

Read 2 more answers

You take a 200 milligram dosage of aspirin. During each subsequent hour, the amount of medication in your bloodstream decreases

shepuryov [24]

Answer: The level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.

Step-by-step explanation:

If the amount is decreasing by r%, then the final amount is given by :-

$A=P(1-r)^t$

, where P = initial value , t= time

Given: P= 200 milligram, r= 35% = 0.35, t= 4 hours

The level of aspirin (mg) will be in your bloodstream in 4 hours = $200(1-0.35)^4$

$=200(0.65)^4\\\\=200\times 0.17850625\\\\=35.70125\approx35.70 \ mg$

Hence, the level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.

5 0

3 years ago