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
Alik [6]
3 years ago
8

A scientist places 17 mg of bacteria in a culture for an experiment and he finds that the mass of the bacteria triples every day

. The mass of the bacteria in the culture on any given day is what percent of the mass of bacteria in the culture exactly one day prior? Each day that passes, the mass of bacteria in the culture changes by what percent? What is the mass of the bacteria in the culture 3 days after the start of the experiment?
Mathematics
1 answer:
dusya [7]3 years ago
3 0

Answer: Hello!

usually the growth of a population is represented with an expoenential growth. And we also know that the mass triples every day,

this is P(t) = A*3^{t - 1}

where t is time in this case days, A is the initial population and r is the rate of grouth.

then in this case the initial population is 17mg, then A = 17mg.

so the function is : P(t) = 17mg*3^{t - 1}

first question: The mass of the bacteria in the culture on any given day is what percent of the mass of bacteria in the culture exactly one day prior?

Not need to do math here, you know that each day the mass of bactery triples, then for a given day, the mass is 200% bigger than the prior day (if the first day is 17, the second is 3*17 = 17 + 2*17, this is 100% + 200% of the population in the prior day, then the increment is of 200%).

then the third day you have 3*3*17 = 9*17 = 17 + 8*17, so here you have an 800% increment with respect of the first day.

the fourth day you have an increment of 3*3*3*17 = 27*17 = 17 + 26*17, so here you have an increment of 2600% with respect at the initial population, and so on. So there is a pattern:

the population that increments every day is (3^{t} - 1)*100 percent, where again, t is days.

What is the mass of the bacteria in the culture 3 days after the start of the experiment?

Here we need to calculate P(3) = 17mg*3^{3-1}  = 17mg*9 = 153mg

You might be interested in
7 to 10<br><br>Round the decimal to the nearest hundredth, then make that a percent
Nadusha1986 [10]
What’s the decimal?
3 0
2 years ago
Read 2 more answers
Solve x/-5=-15 and i will give brainliest if right answers are
san4es73 [151]

Answer:

if x divided by negative 5 equals negative 15, you multiply both sides by negative 5, leaving x = 75, which should be your answer

Step-by-step explanation:

8 0
3 years ago
Nuts cost 0.75 for 3 pounds find the unit rate in dollars per pound
spin [16.1K]
Alright, so here, we can simply divide 0.75/3=0.25 due to that we need to find  that we need to find the unit rate of each pound, and we have 3, so we need to divide by 3
5 0
3 years ago
2(3-8y)= Apply the distributive property to create an equivalent expression.
umka2103 [35]

Answer:

6-16y

Step-by-step explanation:

2(3-8y)\\\\\boxed{6-16y}\\\\\\\left \{ {{2*3=6} \atop {2*-8y=-16y}} \right.

Hope this helps.

4 0
3 years ago
Read 2 more answers
Why is it helpful to represent fractions and division with models? (pls make answer pretty long, thanks :)
eimsori [14]

Answer:

Whether you're teaching the meaning of fractions or fraction operations, visual models can help students connect fractions to what they already know. Division is an essential foundation for fractions. Once students can divide objects into equal groups, they can begin to grasp dividing a whole into equal parts.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • How many different ways can the letters in the word triangle be arranged?
    7·1 answer
  • La respuesta del ejercicio numero 7
    8·1 answer
  • Which best describes the function on the graph?
    9·1 answer
  • Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neit
    13·1 answer
  • Is the following conditional true or false? If it is true, explain why. If it is false, give a counterexample. If it is snowing
    5·2 answers
  • Evaluate the function requested. Write your answer as a fraction in lowest terms.<br> Find tan A.
    5·1 answer
  • 80. A certain insect has a mass of 75 milligrams.
    6·1 answer
  • Can someone please help me ill give a brainliest
    5·2 answers
  • Please show your work
    12·1 answer
  • Round 199.532 to the nearest tenth
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!