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
Masteriza [31]
3 years ago
13

A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. A

t the end of 55 hours there are 192192​,000 bacteria. At the end of 66 hours there are 384384​,000. How many bacteria were present​ initially?
Mathematics
1 answer:
Naddik [55]3 years ago
7 0

Answer:

Initial bacterias = 6006000

Altought I believe is safe to assume that the values were 192,000 and 384,000 instead of 192,192,000 and 384,384,000, in that case the initial bacterias is 6000

Step-by-step explanation:

A exponential growth follows this formula:

Bacterias  = C*rⁿ

C the initial amount

r the growth rate

n the number of time intervals

Bacterias (55 hours) = 192,192,000

Bacterias (66 hours) = 384,384,000

Bacterias(55hours)=C*r^{{\frac{55-t}{t}}} \\Bacterias (66hours) = C*r^{\frac{66-t}{t}}}

If you divide both you can get the growth rate:

\frac{Bacterias (66hours)}{Bacterias(55hours)}=\frac{C*r^{\frac{66-t}{t}}}{C*r^{{\frac{55-t}{t}}}} \\\frac{384,384,000}{192,192,000} =r^{\frac{66-t}{t} -\frac{55-t}{t} } \\2 =r^{\frac{11}{t}}

So with that r = 2 and each time interval correspond to 11 years

Then replacing in one you can get the initial amount of C

Bacterias (55hours)=C*2^{\frac{55-11}{11} } 192,192,000 = C*32\\C= 6006000

You might be interested in
Can someone help please!<3
elena-s [515]
The equation that works for this is
y=1/7x + 0! It is parallel and goes through (0,0)
Hope this helps :)
8 0
2 years ago
help it is due today and not links or files of downloads of anything like that just type in your answer plz and thank u :)
pantera1 [17]
The answer should be x=4
4 0
3 years ago
Read 2 more answers
The graph of the function f(x) = (x + 2)(x + 6) is shown
Vitek1552 [10]

Answer:

The function is negative for all real values of x where

-6 < x < -2.

Step-by-step explanation:

f(x) = (x +2)(x + 6)

 x + 2 = 0    or   x + 6 = 0

x = -2     or x = -6

 After graphing the function is negative between -6 < x < -2

7 0
2 years ago
If h(a)= 3a+5 and h (a) = 27 the what is the value of a?
anzhelika [568]

Hey there!

Okay, so when you get a problem like this, all you need to do in insert the given value into the function and solve.

For example:

As you can see, they state that <em>(a) = 27, </em>so you insert 27 in for a in the function and it will look like this:

h(27) = 3(27) + 5

Now you solve on the right side of the equal sign:

3(27) = 81 (you multiply them)

81 + 5 = 86

When you plug the value of 27 in for a in this function, your output is equal to 86.

3 0
2 years ago
Read 2 more answers
What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
seraphim [82]

21.6 units

Calculate the length of the 2 inclined sides using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )

d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37

repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )

d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72

the vertical side has a length of 7 units

perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )



3 0
3 years ago
Other questions:
  • What is the error shown above in the picture
    7·1 answer
  • How do i find out what is 5% of 30
    14·2 answers
  • Maria slides a triangle two inches to the right what kind of transformation did she preform?
    12·1 answer
  • ~~~40 POINTS~~~<br><br> Please answer this question!!
    15·2 answers
  • What is a parallel line to y= -2/3x+3
    11·1 answer
  • The Children's Museum has a large fish tank with the dimensions shown. The tank does NOT have a cover. What is the surface area
    6·1 answer
  • Helppppp pleaseee asap
    15·1 answer
  • What is the constant of proportionality in the equation x/y=2/9
    5·2 answers
  • Yall its not 18 it is 15.5 i did the math and calculated it to find the anwser
    7·1 answer
  • Pls help me ill mark you brainliest and pls show your work thanks :)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!