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
amm1812
3 years ago
12

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate

parameter of
6.4
%

per hour. How many hours does it take for the size of the sample to double?
Note: This is a continuous exponential growth model.

Do not round any intermediate computations, and round your answer to the nearest hundredth.
Mathematics
1 answer:
nikdorinn [45]3 years ago
4 0
Log(2)/log(1.064) ≈ 11.17 . . . . hours

_____
The population can be given by
  p(n) = p₀×1.064ⁿ . . . . where n is the number of hours
You want to find n whe p(n) = 2*p₀.
  2p₀ = p₀×1.064ⁿ . . . . . . . . . . . . substitute the given information
  2 = 1.064ⁿ . . . . . . . . . . . . . . . . . divide by p₀
  log(2) = n×log(1.064) . . . . . . . . take logs to make it a linear equation
  log(2)/log(1.064) = n . . . . . . . . divide by the coefficient of n
You might be interested in
Which equation would help you find the missing side length in the right triangle shown?
irina [24]
Equation a^2 + b^2 = c^2
c = longest side, unknown
The answer is D.
12^2 + 10^2 = c^2
7 0
3 years ago
I need help please ????
Rudiy27

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

I like to use a spreadsheet for repetitive calculations. The distances are computed from the distance formula:

  d = √((x2 -x1)^2 +(y2 -y1)^2)

The results are shown in the second attachment. The drawing in the first attachment has the lengths rounded to the nearest tenth.

7 0
2 years ago
a counselor at sleepy hollow camp has 225 yards of lanyard to give to 100 campers to make landyard key chains. Each camper will
salantis [7]
Each camper will get a lanyard 2.5 yards long
5 0
3 years ago
Read 2 more answers
to recover a large chair in your home, you purchase 9 1/2 yards of upholstery fabric at $11.00 per yard. If there is 7% sales ta
KATRIN_1 [288]
11.00*9.5=104.5
104.5*0.07=7.315
7.315+104.5=111.815
6 0
3 years ago
Triangle JKL is fromed by plotting three points. What is the leanth of sides JK?
Phoenix [80]
<h3><u>Solution</u><u>:</u><u>-</u></h3>
  • J (1,5)
  • K (1,9)

\LARGE\leadsto\sf JK=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

\LARGE\leadsto\sf \sqrt {(1-1)^2+(9-5)^2}

\LARGE\leadsto\sf \sqrt {(0)^2+(4)^2}

\LARGE\leadsto\sf \sqrt {0+16}

\LARGE\leadsto\sf \sqrt {16}

\LARGE\leadsto\sf JK=4units

4 0
3 years ago
Other questions:
  • Find the domain of the function.
    10·1 answer
  • How many 1/8 cups are in 4/5 cups
    8·1 answer
  • What is angle B?<br><br>A.110<br><br>B.48<br><br>C.55<br><br>D.96
    13·1 answer
  • Jarek buys jerseys for his team online. He pays a constant shipping price plus a special rate for each jersey. During the spring
    13·1 answer
  • A triathlete swims 3 km in 1 hr. Then bikes 50 km in 3 hrs. Finally, the triathlete runs
    9·1 answer
  • What is x? 3x + 4 = 4x
    10·1 answer
  • Are these fractions equivalent to
    10·2 answers
  • Car m left town q and car n left town p at the same time. at noon car m traveled 2/3 of the distannce from q to p and car n had
    9·1 answer
  • If 6(2b-4) = 0, then b=?
    6·2 answers
  • Choose the graph that matches the following system of equations: (6 points)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!