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
exis [7]
3 years ago
9

If the number of bacteria in a colony doubles every 210 minutes and the population is currently 8,000 bacteria, what will the po

pulation be in 630 minutes and is it modeled by a linear function or an exponential function?
A) 24,000; linear function
B) 24,000; exponential function
C) 64,000; linear function
D) 64,000; exponential function
Mathematics
1 answer:
Stells [14]3 years ago
8 0

Answer:

D is the answer

64,000 exponential function  

Step-by-step explanation:

64,000 exponential function  

The number of bacteria in a colony doubles  every 210 minutes.

The population of bacteria = 8000

Determine how many times the population will double.

\frac{630}{210}

 = 3

Multiply the population by 2 a total of 3 times.

8000 × 2³ = 64,000

You might be interested in
What is the opposite of the opposite of the number located at point a?
julsineya [31]

Answer:

A

Step-by-step explanation:

The opposite of point A is 9

Because the opposite of -9 is 9

And the opposite of 9 is -9

3 0
3 years ago
What the second answer ​
Debora [2.8K]

Answer:

1. y' = 3x² / 4y²

2. y'' = 3x/8y⁵[(4y³ – 3x³)]

Step-by-step explanation:

From the question given above, the following data were obtained:

3x³ – 4y³ = 4

y' =?

y'' =?

1. Determination of y'

To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:

3x³ – 4y³ = 4

Differentiate

9x² – 12y²dy/dx = 0

Rearrange

12y²dy/dx = 9x²

Divide both side by 12y²

dy/dx = 9x² / 12y²

dy/dx = 3x² / 4y²

y' = 3x² / 4y²

2. Determination of y''

To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:

3x² / 4y²

Let:

u = 3x²

v = 4y²

Find u' and v'

u' = 6x

v' = 8ydy/dx

Applying quotient rule

y'' = [vu' – uv'] / v²

y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²

y'' = [24xy² – 24x²ydy/dx] / 16y⁴

Recall:

dy/dx = 3x² / 4y²

y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴

y'' = [24xy² – 18x⁴/y] / 16y⁴

y'' = 1/16y⁴[24xy² – 18x⁴/y]

y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]

y'' = 1/16y⁵[(24xy³ – 18x⁴)]

y'' = 6x/16y⁵[(4y³ – 3x³)]

y'' = 3x/8y⁵[(4y³ – 3x³)]

6 0
2 years ago
an art student wants to make a model of an ancient building. the length of the building is 1.6 times its width. The length of th
Ludmilka [50]

I think it would be 17.5in

Hope this helps!!

3 0
3 years ago
What’s the difference betweeen relative frequency and frequency
ss7ja [257]

Answer: Summary: 1. Frequency is the number of times a result occurs, while “relative frequency” is the number of times the result occurs divided by the number of times the experiment is repeated. ... On the other hand, relative frequency is determined by using simple division

Step-by-step explanation:

3 0
3 years ago
A shopkeeper with a basket of eggs finds that if he sells 3 eggs at a time there is only one egg left if he sells four eggs at a
Agata [3.3K]

Answer:

Step-by-step explanation:

add a picture of the question please

7 0
3 years ago
Read 2 more answers
Other questions:
  • he formula for the area of a triangle is a =1/2bh, in which b represents the length of the base and h represents the height. if
    14·1 answer
  • Exponents with decimal and fractional base: Evaluate (0.5)2=
    15·1 answer
  • Find the domain and range, graph
    8·1 answer
  • What is the answer to:<br> -1.5x -3 &lt; 5.5
    8·2 answers
  • Please help me out please
    15·2 answers
  • 60x-3x to the second power divided by 3x
    11·1 answer
  • Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her spee
    14·1 answer
  • FREEEE POINTSSSSSSSS<br><br> 10 MINUS 8
    9·2 answers
  • What is "Find the product of 36 and 47" , It is an area model!- I-ready
    11·1 answer
  • Which function has the greatest y-intercept?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!