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
Fifteen students are going hiking on their spring break. They plan to travel in three vehicles—one seating 7, one seating 5, and
andriy [413]

Answer:

The students can group themselves in 360360 ways

Step-by-step explanation:

For this exercise we need to use the following equation:

\frac{n!}{n1!*n2!*...*nk!}

This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell

In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:

  \frac{15!}{7!*5!*3!}

Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.

Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5  and 3 seating.

5 0
2 years ago
The ratio of the price of a used washer to a new one is 1:3. If the new washer cost $720 how much could you resell it used?
Alja [10]
\bf \begin{array}{ccllll}
used&new\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1&3\\
u&720
\end{array}\implies \cfrac{1}{u}=\cfrac{3}{720}\implies \cfrac{720\cdot 1}{3}=u
4 0
3 years ago
Read 2 more answers
What is 2 plus 2 times 3 minus 55 plus 66 times 2 minus 69
tatyana61 [14]

Answer:

16

Step-by-step explanation:

3 0
3 years ago
Can the integer 27 be simplified
Alex_Xolod [135]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
-.25 x+1.3=-.55x-.2 find x
Mamont248 [21]
You need to isolate the variable my dividing each side by factors that don’t contain the variable
x=-5
3 0
2 years ago
Other questions:
  • Solve the inequality -2(y + 5) + 20 > 6.
    12·1 answer
  • Lines l and m are parallel. lines t1 and t2 are transversals.
    6·1 answer
  • Please help me with this problem.
    5·1 answer
  • Musa ships cars into Ghana, Nigeria and Benij republic from the United States of America. The import duty costs are 10%, 25% and
    12·1 answer
  • if someone drives 50 miles in an hour and then drive from nine in the morning to five in the afternoon how Many hours do they dr
    11·1 answer
  • Simplify the expression. Write your answer as a power.
    6·1 answer
  • What is the value of x if 2x - 3 = 15?
    15·1 answer
  • A box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each co
    8·1 answer
  • QUESTION 1 of 10: A company is offering to pay a stadium $750,000 per year for naming rights. If the administrative costs for th
    15·1 answer
  • Help me with this please.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!