1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sasho [114]
3 years ago
8

A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d

ivides into two cells every 20 minutes. The initial population of a culture is 60 cells. Find the relative growth rate.
Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that,

Cells are divided into two cell every 20mins, this implies that the half-life is 20mins

Initial population growth is 60cells

Growth rate r?

Population growth is modeled as

P(t) = Po•exp(rt)

Where,

Po is the initial growth at t= 0

Po= 60

P(t) is population at any time t.

Since the population doubles every 20mins(⅓hr)

Then, P(⅓) = 2×60 =120

Then, P(t) = 120cells

So, applying the formula

P(t) = Po•exp(rt)

120 = 60•exp(⅓r)

120/60 = exp(r/3)

2 = exp(r/3)

Take In of both sides

In(2) = r/3

Cross multiply

r = 3In(2)

r = 2.079 /hour

The growth rate is 2.079/hour.

You might be interested in
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
Oksanka [162]

Answer:

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup 33\dfrac{1}{3} lbs

Step-by-step explanation:

Weight:

Weight of sugar = 0.5 lbs.

Weight of water added = x lbs

Total weight = 0.5 + x lbs

Percentage:

0.5 + x  --  100%

0.5  --  1.5%

Write a proportion:

\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}

Cross multiply:

1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup

32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs

3 0
3 years ago
Find two consecutive whole numbers that 52 lies between.
tensa zangetsu [6.8K]
<span>Think about which perfect squares lies on the immediate left of 52 and which lies on the immediate right of 52. 49 ---- 52 ------- 64 After that, take the square roots of each of the three numbers.</span>
3 0
3 years ago
Read 2 more answers
UHHH HELP OMG WHAT IS THIS I WASNT PAYING ATTENTION SORRY 26 POINTS DO NOT GIVE ME AN ANSWER IF U DONT KNOW HELP i know its easy
Karolina [17]

Answer:

m=2/3, b=12

Step-by-step explanation:

When you see an equation in this format, it's called slope-intercept form (y=mx+b, with m being slope and b being y-intercept). So in this case, by looking at our formula, we can tell right away that our slope, or m, is 2/3 and our y-intercept, or b, is 12. HTH :)

3 0
2 years ago
Simplify the expression:<br> b2–3b+7+5b
MArishka [77]
The answer is :

4b+7

hope this helps!!
6 0
3 years ago
Read 2 more answers
The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions: T
jasenka [17]

Answer:

For the code we have 3 selections.

The first selection is a digit that must be odd, so the options are {1, 3, 5, 7 ,9}

So we have 5 options.

The second selection is a letter from the set of all the letters (27) minus the set of the vowels (5)

So here we have 27 - 5 = 22 options

The third selection is also a letter from the previous set, but because each letter can be used only one time, and in the previous selection we already selected one of the letters, in this selection we have a letter less than in the previous selection.

Here we have 22 - 1 = 21 options.

The total number of combinations (of possible codes) is equal to the product of the number of options for each selection:

C = 5*22*21 = 2310.

There are 2310 different possible codes

8 0
3 years ago
Other questions:
  • Which sets of points are collinear?
    11·2 answers
  • F<br><img src="https://tex.z-dn.net/?f=5%20%5Cdiv%206%20%3D%20" id="TexFormula1" title="5 \div 6 = " alt="5 \div 6 = " align="ab
    15·1 answer
  • Which of the following interpretations for the given expression is correct? the cube of eight times the difference of five and t
    10·1 answer
  • Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are
    10·1 answer
  • The system of equations is solved using the linear combination method.
    7·1 answer
  • What is the area of the large circle?
    15·1 answer
  • Expand and simplify: 3(m + 2) + 4( 6 + m)
    7·2 answers
  • Anyone know the answer?
    15·1 answer
  • Put these numbers in order from LEAST to GREATEST.<br> 2/3,1/2,3/4,6/10
    12·1 answer
  • Use the Change of Base Formula to evaluate log3 48. Then convert log3 48 to a logarithm in base 5. Round to the nearest thousand
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!