Colby and Jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. Jaquan has a different type of bacteria that doubles every 3 hours. How many bacteria should Jaquan start with so that they have the same amount at the end of the day?

Answers

Answer 1

Answer: Here's the general formula for bacteria growth/decay problems

Af = Ai (e^kt)

where:
Af = Final amount
Ai = Initial amount
k = growth rate constant
t = time

But there's another formula for a doubling problem.
kt = ln(2)

So, Colby (1)
k1A = ln(2) / t
k1A = ln(2) / 2 = 0.34657 per hour.

So, Jaquan (2)
k2A = ln(2) / t
k2A = ln(2) /3 = 0.23105 per hour.

We need to use the rate of Colby and Jaquan in order to get the final amount in 1 day or 24 hours.

Af1 = 50(e^0.34657(24))
Af1 = 204,800

Af2 = 204,800 = Ai2(e^0.23105(24))
Af2 = 800

Answer 2

Answer:

800

Step-by-step explanation:

Related Questions

Here is a picture of a math problem.
Which best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis?A. all real numbers B. all real numbers less than 0 C. all real numbers greater than 0 D. all real numbers less than or equal to 0
Use summation notation to write the series2+4+6+8+... For 10 terms
The power generated by a wind turbine depends on the wind speed . The expression 800 v^3 gives the power in watts for a certain wind turbine at wind speed v in meters per second . If the wind speed triples , by what factor does the power generated by the wind turbine increase ? 2) Can you write the expression 49x^2y^2z^2 using only one exponent ? Show how or explain why not ?
Sally is looking to invest in Agricon Products when its P/E ratio is lower than 15. Each share is currently projected to earn $1.30 this year. Which of the stock prices listed below would give the P/E ratio she is looking for?I. $18 a shareII. $19 a shareIII. $20 a share

Solve for x 7x-3=5x+5=

Answers

The value of x in the expression 7x-3=5x+5 is 4

Given

7x-3=5x+5

Here,

The equation is linear in variable x .

7x-3=5x+5

7x - 5x - 3 = 5

2x-3=5

2x = 5 + 3

2x=8

x = 8/2

x=4

Thus the value of x is 4 .

Know more about linear equations,

brainly.com/question/19866315

#SPJ6

Answer:

x=4

Step-by-step explanation:

7x-3=5x+5

2x-3=5

2x=8

x=4

Question 71 pts
Bobby ran 1 lap around the track in 52.36 seconds. Jessie ran a lap in 49.4 seconds. How many
seconds faster was Jessie's lap?
O 29.6 seconds
O 0.296 seconds
4.742 seconds
O 2.96 seconds

Answers

Answer:

0.296

Step-by-step explanation:

How many metres in 4 and half kilometres

Answers

there are 4500 meters because 1 kilometer is equal to 1000meters

The polynomial 32x^2+12x-57 has two real roots.A. True
B. False The polynomial 32x^2+12x-57 has two real roots.

A. True
B. False

Answers

It is an absolutely true statement that the polynomial 32x^2+12x-57 has two real roots. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that you were looking for and the answer has actually come to your great help.

Answer:

On the test it says it is false!!

Step-by-step explanation:

Jason's cereal contains 1 decagram of sugar. He adds 4 more grams of sugar. How many total grams of sugar does his cereal contain?

Answers

1 decagram is equal to 10 grams so,
10+4=14
He has 14 grams of sugar in his cereal.

Answer:14 grams of sugar in his cereal

Step-by-step explanation:

Is 10.6 less than 10.06?

Answers

In terms of numerical value, 10.6 is greater than 10.06.

Use the concept of place value defined as:

Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.

The difference lies in the decimal places.

When comparing decimals:

Look at the value of each digit after the decimal point,

In this case:

Both numbers have the same whole number value of 10,

But the first decimal place in 10.06 is 0, whereas in 10.6 it is 6.

Since 6 is greater than 0, 10.06 is actually less than 10.6.

Hence,

The decimal number 10.6 is greater than 10.06.

To learn more about decimal numbers visit:

brainly.com/question/33864774

#SPJ3