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
vagabundo [1.1K]
3 years ago
12

Harriet is cultivating a strain of bacteria in a petri dish. Currently, she has 103 bacteria in the dish. The bacteria divide ev

ery two hours such that the number of bacteria has doubled by the end of every second hour. How many bacteria will Harriet have in the dish at the end of 6 hours
Mathematics
2 answers:
SVEN [57.7K]3 years ago
8 0
Based on the conditions given above, the number of bacteria at any time t (in hours) is calculated by the equation,
                                         at = (a1)(2^t/2)

where a1 is the initial number of bacteria and at is the number at any time t. Substituting the givens,
                                      a6 = (103)(2^6/2) = 824 

Thus, there are 824 bacteria after 6 hours. 
fomenos3 years ago
6 0

Formula for growth or decay

R= R_{0}[1 \pm \frac{r}{100}]^t

R= Final population of Bacteria

R_{0}= Initial Population

r = Rate of growth or decay

t= Time period

R_{0}= 103 bacteria

when, t=2

R becomes 103 × 2= 206 bacteria

Substituting these values in the formula of growth

206 = 103 × (1+ \frac{r}{100})^2

Dividing both sides by 103, we get

2 = (1+ \frac{r}{100})^2

(1+ \frac{r}{100})= √2------(1)

(1+ \frac{r}{100})= 1.414

r = (1.414 -1) × 100= .414 × 100= 41.4%

Number of bacteria at the end of 6 hours = 103 × (1+ \frac{r}{100})^6= 103 × [\sqrt{2}]^6 ------Using (1)

= 103 × 2³

=103 × 8

= 824→→bacteria that Harriet have in the dish at the end of 6 hours


You might be interested in
Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minu
Margarita [4]

Answer:

Below

Step-by-step explanation:

Let y be the missing number inside the box. The equation is:

●y( x-3)+2x= -(x-5)+4

● y (x-3) +2x = -x+5+4

● y (x-3) +2x = -x+9

● y (x-3) +2x+x = 9

●y(x-3)+3x =9

● yx-3y+3x= 9

●yx-3y+3x-9=0

●y(x-3) +3(x-3) =0

● (x-3)(y+3) = 0

●x-3=0 or y+3=0

●x=3 or y = -3

●x=3 or -y = 3

Add them together

● x-y = 6

●x=6+y

● y =6-x

So the number we should put in the box is 6-x

3 0
3 years ago
Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks
ICE Princess25 [194]

Answer:

The degree of overlap between the two distributions is moderate.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME
OleMash [197]

= 1.1959521619135%

Step-by-step explanation:

11 - 10.87/10.87

= 0.13/10.87

= 1.1959521619135%

3 0
2 years ago
What is the length of BC in the right triangle below?
sleet_krkn [62]

Answer:

F. 82

Step-by-step explanation:

To calculate the length of BC, Pythagoras theorem will be used.

It says, Hypotenuse^2 = Perpendicular^2 + Base^2

In our case, Perpendicular = AB = 18 and Base = AC = 80

therefore,

Hypotenuse^2 = 18^2 + 80^2 = 6724

Hypotenuse = BC = \sqrt{6724} = 82

6 0
3 years ago
Find the equation of the line
Fed [463]

Answer:

6,0 10,4

Step-by-step explanation:

find the y Axis and then the x Axis

5 0
3 years ago
Other questions:
  • !!!!!!!!!!!!!!!!!PLS HELP!!!!!!!!!!!!!!! ASAP 15 Points
    5·1 answer
  • A study compared paired daytime and nighttime counts of sea trout, lake trout, and rainbow trout made by the same divers in six
    7·1 answer
  • What’s the name of that shape?
    10·2 answers
  • Please answer i need help
    10·1 answer
  • Just as you are recovering, your child falls ill. in your medication dosages, so you hurriedly scan the Internet to make sure th
    15·1 answer
  • Ill mark brainlist plss help
    8·2 answers
  • Check if x=-1 is a solution to x3 + 3x^2 = x+3. Which statement do you get?
    13·1 answer
  • PLS HELP ASAP PLS DONT RESPOND IF U DINT KNOW
    15·1 answer
  • What equation was used to create this table? ​
    15·1 answer
  • fertilizer you put 2 qts for every 50 gal of water I only want to use 15gal of water how many qts,pts,cups??? do i put
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!