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
Alisiya [41]
3 years ago
15

The growth of a population of bacteria can be modeled by an exponential function. The graph models the population of the bacteri

a colony P(t) as a function of the time t, in weeks, that has passed. The initial population of the bacteria colony was 500. What is the domain of the function? What does the domain represent in this context?
Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer:

t ≥0

Step-by-step explanation:

Given the information:

The initial population: 500

The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,

=> our function is: P(t) =500*b^{t} where b is the base number and it is ≥0

  • What is the domain of the function?

The domain of exponential functions is all real numbers greater than zero

<=> t ≥0 (because t present for the time and time can not have negative value)  

  • What does the domain represent in this context?

t  is the independent variable is this exponential function and the population of bacteria depends on the change of t.

Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)

Hope it will find you well.

You might be interested in
Consider Akelia’s sequence 5, 8, 11, 14, 17, ….
bonufazy [111]

Answer:

It would be 20

Step-by-step explanation:

As we can see, the sequence starts from 5 and increases by three each time. In fact, one possible formula for that sequence could be:

a_n=3n+2\hspace{10}n\in N

Let's confirm the formula by evaluating the first 6 terms:

a_1=3(1)+2=3+2=5\\a_2=3(2)+2=6+2=8\\a_3=3(3)+2=9+2=11\\a_4=3(4)+2=12+2=14\\a_5=3(5)+2=15+2=17\\a_6=3(6)+2=18+2=20

5 0
3 years ago
Find the length of l on the curve r(t)=5cos(3t)i-5sin(3t)j+3tk over the interval [3,7]
stealth61 [152]
\mathbf r(t)=5\cos3t\,\mathbf i-5\sin3t\,\mathbf j+3t\,\mathbf k
\mathrm d\mathbf r(t)=\mathbf r'(t)\,\mathrm dt=(-15\sin3t\,\mathbf i-15\cos3t\,\mathbf j+3\,\mathbf k)\,\mathrm dt

\displaystyle\int_C\mathrm d\mathbf r(t)=\int_{t=3}^{t=7}\|\mathbf r'(t)\,\mathrm dt\|=\int_{t=3}^{t=7}\sqrt{225\sin^23t+225\cos^23t+9}\,\mathrm dt
=\displaystyle3\sqrt{26}\int_{t=3}^{t=7}\mathrm dt
=12\sqrt{26}
4 0
3 years ago
2 - 1/4 in simplest form PLS HURRYYYY
gavmur [86]

Answer:

The answer is 1.75

Step-by-step explanation:

2-1/5 or (.25)

8 0
2 years ago
Need help with this one!!!
DaniilM [7]
\bf (2x^2)^4(5x^6)\impliedby \textit{distributing the exponent}&#10;\\\\\\&#10;2^4x^{2\cdot 4}5x^6\implies 2^4\cdot 5x^{2\cdot 4}x^6\implies 16\cdot 5x^8x^6\implies 80x^{8+6}&#10;\\\\\\&#10;80x^{14}
8 0
3 years ago
A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation
Alexxx [7]
Ok

y=-0.04x^2+8.3x+4.3
when the rocket reaches the ground (when height=0, ie when y=0), then the rocket will land, find the x coordinate

set y=0
0=-0.04x^2+8.3x+4.3
use quadratic formula
if you have ax^2+bx+c=0, then
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
a=-0.04
b=8.3
c=4.3
x=\frac{-8.3+/- \sqrt{8.3^{2}-4(-0.04)(8.3)} }{2(-0.04)}
x=208.017 or -0.516785
xrepresents horizontal distance
you cannot have a negative horizontal distance unless you fired and theh wind blew it backwards
therefor x=280.017 is the answer
208.02 m


7 0
3 years ago
Other questions:
  • 40. Danielle's living room is a rectangle with the dimensions 16 feet
    11·2 answers
  • Without actually multiplying, how can you tell if the product of two numbers will be negative?
    15·1 answer
  • Evaluate the factorial expression.<br> left parenthesis 6 minus 2 right parenthesis exclamation mark
    8·1 answer
  • Simplify Negative 8 over 2 divided by 6 over negative 3. −4 2 −2 4
    7·1 answer
  • Janet saved 22 dollars one moth and 39 dollars the next month. She wants to buy A bicycle that cost $100. How much more money do
    7·2 answers
  • Replace the values of m and n to show the solutions of this equation. <br> x^2 + 6x - 5 = 0
    12·2 answers
  • Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis: y=x6, y=1 abo
    11·1 answer
  • Helppppppppppppppppppp
    15·2 answers
  • Whats 80000000000000x200000004500
    5·1 answer
  • Can you guys tell me what 6!/3!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!