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
alexdok [17]
2 years ago
8

The number of bacteria in a lab experiment can be modeled by the function

Mathematics
1 answer:
vodomira [7]2 years ago
6 0

Answer:

P(t) = 1161(9)^{t}

Step-by-step explanation:

Given

P(t) = 43(3)^{2t+3}

Required

Write in form of P(t) =ab^t

P(t) = 43(3)^{2t+3}

Apply law of indices:

P(t) = 43(3)^{2t}*3^3}

Reorder

P(t) = 43*3^3*(3)^{2t}

Express 3^3 at 27

P(t) = 43*27*(3)^{2t}

P(t) = 1161*(3)^{2t}

Rewrite as:

P(t) = 1161*(3^2)^{t}

Express 3^2 as 9

P(t) = 1161*(9)^{t}

P(t) = 1161(9)^{t}

You might be interested in
A rectangular carpet measures 12 m by 5 m.
Zepler [3.9K]

Answer:

\frac{1}{15}

Step-by-step explanation:

Area of the Rectangular Carpet=12*5=60m²

Area of the Square rug=2*2=4m²

Expressing the area of the rug as a fraction of the total area of the carpet, we have:

\frac{\text{Area of Rug}}{\text{Area of Carpet}}=\frac{4}{60}\\=\frac{1}{15}.

The fraction of the carpet that is covered by the rug is \frac{1}{15}.

8 0
3 years ago
Solve the empty gas tank of a truck needs to be completely filled. the tank is shaped like a cylinder that is 3.5 ft long with a
Dmitrij [34]
5.3 minutes.  
First, let's calculate the volume of the tank. That will be the area of the base multiplied by it's length. And since it's base is a circle, the area is pi*r^2. So:
 V = l*pi*r^2
 V = 3.5 * pi * (2.2/2)^2
 V = 3.5 * pi * (1.1)^2
 V = 3.5 * pi * 1.21
 V = 4.235 * pi
 V = 13.30464489
 
 So the tank has a volume of about 13.3 ft^3. Now simply divide that volume
by the rate of incoming fluid. So
 13.3 / 2.5 = 5.32 
 Rounding to 2 significant figures gives a time of 5.3 minutes.
7 0
3 years ago
A checking account is overdrawn by $13 on both Friday and Saturday. what is the balance of the bank account?
sergiy2304 [10]
Need more info! Sorry bub we can’t help answer
8 0
2 years ago
Help please
Setler79 [48]

Answer: inconsistent

Step-by-step explanation:

Inconsistent systems have two lines that are two independent equations that don’t overlap. Basically, if the lines are parallel, the system will always be inconsistent.

4 0
2 years ago
Why do translations produce parallel lines?
BigorU [14]

Answer:

OB

Step-by-step explanation:

The slopes are not changed.

See the picture of the 2 graphs.  The slopes are the same,, but the y intercepts are different, so the lines are parallel.

5 0
1 year ago
Other questions:
  • I need these questions to be answered correctly plz tryna get my grade up
    6·1 answer
  • Solve the equation by completing the square-x^2-14x+24=0
    13·2 answers
  • What is 2 plus 2 minus 1 plus 1267788 minus 1000
    8·2 answers
  • Cos (a-b) = cos a cos b + sin a sin b for all values of a and b. True or False
    10·1 answer
  • Chapter 4
    6·1 answer
  • Does anybody know the answer to this
    6·2 answers
  • − 3 ( p + 2 ) = − 30 − 3(p + 2) = − 30
    7·1 answer
  • 200*((0.6)^5)=200*0.07776=15.552 feet
    14·1 answer
  • Plzzz help meh my teacher wants me done before 2:45
    11·1 answer
  • Kelly is knitting a scarf for her brother. It took her 1/3 hour to knit 1/2 foot of the scarf. How fast Kelly knitting, in feet
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!