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
Yuki888 [10]
3 years ago
12

The population P of a colony of 3600 bacteria at time t minutes can be modeled by the function P(x) = 3600(2)^t/73. How long doe

s it take the population (in hours) to reach 1,792,000?

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
8 0
It takes 10.9 hours.

We set the equation equal to 1792000:

1792000=3600(2)^{\frac{t}{73}}

Divide both sides by 3600:
\frac{1792000}{3600}=\frac{3600(2)^{\frac{t}{73}}}{3600}
\\
\\\frac{4480}{9}=2^{\frac{t}{73}}

We will use logarithms to solve this:
\log_2{\frac{4480}{9}}=\frac{t}{73}

Multiply both sides by 73:
73\log_2{\frac{4480}{9}}=t
\\
\\654.03=t

This is in minutes; to convert to hours, divide by 60:
654.03/60 = 10.9
ValentinkaMS [17]3 years ago
4 0
The answer is: 10.90 hours

Explanation:
Please see the image attached!

You might be interested in
The area of the square is 27 cm.<br> What is the perimeter of the triangle?
Ede4ka [16]

Answer:24

Step-by-step explanation:3x9=27

3+3=6

9+9=18

18+6=24

7 0
3 years ago
Read 2 more answers
What is a division problem that has the answer 6?? 8th grade
nika2105 [10]
18/3=6
12/2=6
24/4=6
30/5=6
36/6=6
3 0
2 years ago
I need to know the volume of a rectangular prism 7/4cm,3cm,2cm
Nastasia [14]
Do you will need to know that for what.
5 0
3 years ago
Celeste makes a conjecture that the perimeter of a square whose sides are an odd
xxTIMURxx [149]

Answer:

top left

Step-by-step explanation:

8 0
3 years ago
on Saturday a minor league basketball team give a baseball cards each person entering the stadium one group received 28 baseball
MariettaO [177]
Group A = 28 cards Group B = 68 cards Group A + Group B = 96 cards What is the biggest number that evenly divides 28, 68, and 96? Answer the question to find the answer.
3 0
3 years ago
Other questions:
  • Observe the expression below and select the true statement(s). ore than one answer possible.
    6·1 answer
  • Write as an expression and simplify:
    5·1 answer
  • Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x
    6·1 answer
  • Im lost, I don't understand the corolation
    5·1 answer
  • What is x? -10 - x = -4
    8·1 answer
  • Which equation represents the exponential function that goes through the points (0,4) and (3, 1/2).
    6·1 answer
  • Find the range of the function for the given domain f(x)=4x+8;{-2,-1,0,1,2}
    9·1 answer
  • A DVD has a diameter of 14 centimeters. What is the area of the DVD? Round your answer to the nearest
    14·1 answer
  • Which group of integers is in order from least to greatest?
    12·2 answers
  • A pair of Jeans cost $88 A jeans jackets cost twice as much What is the cost of a Jean jacket and 4 pairs of jeans
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!