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
solmaris [256]
3 years ago
11

The amount of bacteria in a Petri dish increases at a rate proportional to the amount present. At time t=0, the amount of bacter

ia in the dish is 10 grams. At time t=2, the amount of the bacteria in the dish is 30 grams. What is the amount of bacteria in the dish at time t=6?
A. 70 grams
B. 190 grams
C. 270 grams
D. 9270 grams
Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0

Answer:

C. 270 grams

Step-by-step explanation:

-The growth of bacteria follows an exponential distribution expressed as:

P_t=P_oe^{rt}

Where:

  • t=time
  • r=rate of growth
  • P_o is the initial size and'
  • P_t is the size at time t

Given the size at time t and time zero, we substitute in the function to calculate the rate of growth r:

30=10e^{2r}\\\\3=e^{2r}\\\\r=\frac{In \ 3}{2}\\\\=0.54931

#we use the calculated rate of growth to determine time at t=6:

P_t=10e^{6\times 0.54931}\\\\\\=270.00625\approx 270\ grams

Hence, the bacteria's size at t=6 is 270 grams

You might be interested in
How to write 100,203 in standard form
True [87]
This is standard form
8 0
3 years ago
Read 2 more answers
A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?
saul85 [17]

Answer:

Option D. 3 + 9i

Step-by-step explanation:

We know that the formula to find the middle point is:

(\frac{x_1 + x_2}{2},\frac{z_1 + z_2}{2})

We know that the middle point is:

-1 + i

And the end point (x_2, z_2) is: -5 -7i

We wish to find the point x_1,z_1

So we can write the following equation

\frac{x_1 + (-5)}{2} = -1                   (i)

and

\frac{z_1 + (-7i)}{2} = i                     (ii)

Now we clear x_1 from equation (i) and clear z_1 from equation (ii)

For equation (i) we have:

-2 = x_1 -5 \\\\x_1 = 3

For equation (ii) we have:

2i = z_1 -7i\\\\z_1 = 9i

Then the initial point x_1, z_1 is: 3 + 9i

The correct answer is the last option 3 +9i

3 0
3 years ago
At the start of a hike a hiker was at an elevation of -50 feet or zero represents sea level the hiker climbs at a rate of 15 fee
JulijaS [17]
-50 + 15T > 5

See the image for a breakdown of what these terms mean/how they’re measured!

7 0
2 years ago
Need help with math, please help.
aev [14]

Answer:

4) 7a + 11b

5) i'm not sure

6) 3  (n = 3)

7) i can't see the last ones, but i know that y = 6

i hope this helps

sorry i can't help more :(

Have a great day!

7 0
2 years ago
Read 2 more answers
he parking garage of a mall is underground. Dr. Taylor parks her car 2 floors below ground level. She plans to walk to the 3rd f
ad-work [718]

Answer:

she will travel 5 floors from her car to the 3rd floor.

4 0
3 years ago
Other questions:
  • Write the slope of x+2x=4
    6·1 answer
  • Mickey's bowling score is 16 less
    11·1 answer
  • If the mean weight of 4 backfield members on the football team is 222 lb and the mean weight of the 7 other players is 198 lb, w
    7·1 answer
  • How do you write twice the sum of seven and a number
    12·2 answers
  • The bakers recipe for a loaf of bread calls for 12 ounces of flour.if he uses all of his flour to make loaves of bread,how many
    8·1 answer
  • You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At F
    11·1 answer
  • PLEASE HELPPPP I DONT KNOW HOW TO DO THIS
    8·1 answer
  • Evaluate the function f (x)=-2x+3 for x=-1
    13·1 answer
  • What is the height ? Please help, I need it! Urgent !
    10·1 answer
  • 17. Kayla has a 20-quart jug of lemonade that she is pouring into cups for her daughters soccer team practice. If each cup holds
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!