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
ollegr [7]
3 years ago
15

A population of bacteria is growing according to the exponential model P = 100e.70t, where P is the number of colonies and t is

measured in hours. After how many hours will 300 colonies be present? [Round answer to the nearest tenth.]
A) 0.7
B) 1.6
C) 5.7
D) 7.2
Mathematics
2 answers:
Reika [66]3 years ago
6 0
T=(log(300÷100)÷log(e))÷0.7
T=1.6
OleMash [197]3 years ago
5 0

Answer:

The correct option is B). 1.6 years

Step-by-step explanation:

The model for the population of bacteria is growing by :

P = 100\cdot e^{0.70t}

where P is the number of colonies and t is measured in hours.

Now, we need to find after how many hours will 300 colonies be present

So, Putting value of P = 300 in the above model and obtain the value of t

\implies 300=100\cdot e^{0.70t}\\\\\implies 3=e^{0.7t}\\\\\text{taking natural log ln on both the sides}\\\\\implies \ln 3=\ln e^{0.7t}\\\\\implies \ln 3=0.7t\\\\\implies t=\frac{\ln 3}{0.7}\\\\\implies t=1.6\:\: years

Therefore, The correct option is B). 1.6 years

You might be interested in
An object is launched from a platform.
Bess [88]

Answer:

60 feet

Step-by-step explanation:

The height, h (in meters), of the object launched from a platform is represented by the equation

h=h(x)=-5x^2+20x+60

where x is the time (in seconds) passed after the launch.

The time of launch is x=0 (0 seconds passed after the launch)

Substitute x=0 to find the height:

h=h(0)=-5\cdot 0^2+20\cdot 0+60=60\ feet

4 0
3 years ago
Are the co ordinates of A 3,4 ?
Lubov Fominskaja [6]

Answer:

A: 2,3

B: -5,1

for ii and iii and b), the easiest way to find the points are by moving on the x-axis(straight across/ horizontal line), then the y-axis(the up to down one). the first point for example (-3,-2), you would move 3 times to the left, and 2 times to the bottom, because if its a negative x, you move left, while if its a positive x, you move right, and if its a negative y, you move down, while a positive y moves you up.

Step-by-step explanation:

I really hope it helps!!!

4 0
2 years ago
Read 2 more answers
Putting recipe makes 4 1/2 cups of pudding. How many 1/3 cup servings does this equal?
mel-nik [20]

Answer:

C

Step-by-step explanation:

First, write 4 ½ in improper form.  2 × 4 + 1 = 9. So the fraction is 9/2.

Now divide:

9/2 ÷ 1/3

To divide by a fraction, multiply by the reciprocal:

9/2 × 3/1

27/2

13 1/2

Answer C.

4 0
3 years ago
Read 2 more answers
Whats The Following Sloution 15x-3=9x+1
Flauer [41]

answer to the problem is x=2/3

5 0
3 years ago
Read 2 more answers
#2 pls help I don’t know how to do math
Ira Lisetskai [31]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A rose garden is designed by joining a rectangle and a semicircle, as shown below. The rectangle is 24ft long and 18ft wide. If
    14·2 answers
  • Find the product please and thank you
    14·1 answer
  • I really need help with this section
    8·2 answers
  • What is the solution to the following system of linear equations?
    9·1 answer
  • If sin ∅ = m-n/m+n<br>, find the value of<br>1 + Tan²∅​
    7·2 answers
  • Two planes start from the same point and fly in opposite directions. The first plane is flying 60 mph slower than the second pla
    8·1 answer
  • Which statement is true about the function f(x)= Vx?
    9·1 answer
  • How many capulets and montages are there
    10·1 answer
  • Answer this please I need help
    5·1 answer
  • Ab sorumu silmeyin be aga​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!