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
AURORKA [14]
3 years ago
9

In a laboratory, under favorable conditions, a bacteria grows at an exponential rate. the number of cells C in the population is

modeled by the function C(t)=ab^t, where a and b are constants and t is measured in hours.
T                C(t)

---            -------
0                 8
-----           --------
1                 24

Which function can be used to find the number of cells of bacteria in the population at time t?


A. C(t)=8(1)^t

B. C(t)=24(1)^t

C. C(t)=8(3)^t

D. C(t)=24(3)^t
Mathematics
2 answers:
aksik [14]3 years ago
6 0

Answer:

Eponential model is given by C(t)=8(3)^t

C is the correct option.

Step-by-step explanation:

From the given table, we have

For t = 0, C = 8

For t = 1, C = 24

The given model is C(t)=ab^t

Plugging, t = 0, C = 8 in the equation, we get

8=ab^0\\8=a\cdot1\\a=8

Now, plugging t = 1, C = 24 and a = 8 in the given exponential model

24=8b^1\\24=8b\\b=3

Therefore, the exponential model is given by

C(t)=8(3)^t

Naily [24]3 years ago
4 0
Selection C is appropriate.

_____
A. The population is constant at 8.

B. The population is constant at 24.

C. Matches the problem description.

D. The initial population is 24 and after 1 hour is 72.
You might be interested in
Which lists the side lengths in order from shortest to longest?
MrMuchimi

Answer:

A. d, e, f

Step-by-step explanation:

Suppose there is a triangle DEF in which,

EF = d, DF = e, DE = f, ∠D = 48°, ∠F = 73°,

∵ Sum of all interior angles of a triangle is 180°,

⇒ ∠D + ∠F + ∠E = 180°,

⇒ 48° + 73° + ∠E = 180°,

⇒ 121° + ∠E = 180°,

⇒∠E = 59°,

Now, in a triangle the angle opposite to the largest side is largest, opposite to medium angle is medium and opposite to the smallest side is smallest,

∵ ∠F > ∠E > ∠D

By the above statement,

f > e > d

Hence, FIRST OPTION is correct.

5 0
3 years ago
What can be concluded if angle 1 =angle7
Maksim231197 [3]

From the information given in the question,
the only possible conclusion is:

              If angle 1 is measured and angle 7 is measured,
           the two measurements will be identical.

If angle 1 and angle 7 are related to a particular shape or drawing,
then additional conclusions may be possible, but we'd need to see
the shape or drawing.

8 0
3 years ago
WHY IS MIDDLE SCHOOL LEARNING SO DANG HARD
RUDIKE [14]

Answer:

I feel you bro lol

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The Atlas V Rocket could go 1 full mile in just
Jet001 [13]

Answer: It traveled 36,000 miles per hour.

Step-by-step explanation: 1/10 of a second x 36000 = 1 hour.

5 0
3 years ago
On 7 jobs, a welder charges 3.5 hours, 9.5 hours, 4 hours, 5.5 hours, 12 hours, 8.5 hours, and 6 hours. Find the average hours b
defon
All you need to do is add all 7 job hours, and divide the total by 7. Your answer should be 7
3 0
3 years ago
Other questions:
  • What is the length of BC in the right triangle below?<br> Answer in the pictures.
    8·2 answers
  • |2x - 1| - |-2| &gt; |1 - 4|
    7·1 answer
  • On Monday John had $500 . Over the weekend he went out to eat for $ 112and used his debit card for movie tickets that cost $28 .
    9·1 answer
  • What is 412,639 rounded to the nearest thousand
    8·1 answer
  • ×+2=17-4×<br> × equals what
    9·2 answers
  • How do you do this because I need help
    15·1 answer
  • 60 points (3 different questions) INEQUALITIES AND EQUALITY SOLVING
    7·2 answers
  • This is the last one I promise!!
    12·1 answer
  • Ski shop made 80,000 profit this is 250 precent of last year’s profit
    7·1 answer
  • Question 2(Multiple Choice Worth 1 points)<br> (01.04 LC)<br><br> Solve for x: −2x − 4 &gt; 8
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!