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
vaieri [72.5K]
2 years ago
9

The relationship between a bacteria population p, in thousands, and time d, in days, since it was measured to be 1,000 can be re

presented by the equation .
Select all statements that are true about the situation.





© 2019 Illustrative Mathematics. All Rights Reserved.


Select all that apply:
A: Each day, the bacteria population grows by a factor of 2
B: The equation p=2^d also defines the relationship between the population in thousands and time in days
C: The population reaches 7,000 after log2(7,000) days
D: The expression log2(10) tells us when the population reaches 10,000.
E: The equation d=log2(p) represents a logarithmic function
F: The equation 7=log2(128) tells us that the population reaches 128,000 in 7 days.
Mathematics
1 answer:
klemol [59]2 years ago
3 0

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

<h3>What is an exponential function?</h3>

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let p represent the bacteria population in thousand after d days.

Since each day, the bacteria population grows by a factor of 2, hence:

p=2^d

Hence, d = log₂p represents a logarithmic function

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

Find out more on exponential function at: brainly.com/question/12940982

You might be interested in
Someone pls help me!!!!
tresset_1 [31]

Answer:

C.

Step-by-step explanation:

1 X 26 = 26

2 X 26 = 52

3 X 26 = 78

how is tat algebra???

7 0
3 years ago
Abbie decides to start doing crunches as part of her daily workout. She decides to do 15 crunches the first day and then increas
Pavlova-9 [17]
For this case, the first thing we must do is define a variable.
 We have then:
 n: number of days.
 We now write the explicit formula that represents the problem.
 We have then:
 an = 4n + 15
 Where,
 15: crunches the first day
 4: increase the number 4 each day
 Answer:
 
An explicit formula for the number of crunches Abbie will do on day n is:
 
an = 4n + 15
3 0
3 years ago
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me
Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is P(X = 2). So:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0
3 years ago
Solve the following system of equations graphically on the set of axes below. y=3x−3 , x+y=5
topjm [15]

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Hope this helps!

6 0
3 years ago
Carlos has received a 9% salary increase. If he now earns $654 per week, what was his salary before the increase.?
babunello [35]
So let's say he was earring x before his raise. That means that:
x times 1.09 = 654 (1.09 represents 100% (this is the 1.0) of his original salary plus 9% (this is the .09) his raise.
So,
1.09x = 654; now divide both sides by 1.09 to isolate and solve for x, and you get x = $600.
6 0
3 years ago
Other questions:
  • Solve the proportion<br><br> X/4= 2/5
    11·2 answers
  • Note: Figure is not drawn to scale
    9·1 answer
  • A white tailed deer can sprint at speeds up to 30 miles per hour America bison can run at speeds up to 3,520 feet per minute whi
    7·1 answer
  • Explain how the values of h and k in y=|x-h|+k affect the graph of y=|x|
    8·1 answer
  • What is the volume of the cone? (Use 3.14 for π .) the height is 17ft nd the radius is 10ft
    6·1 answer
  • 6 loads of stone weigh 2/3 ton. Find the weight of 1 load of stone.
    13·1 answer
  • Hi can u plz help me???
    11·2 answers
  • 5y=10-2x in a standard form
    7·1 answer
  • A functin is defined by f(x) = 3x2 - x3. What is f(2)?
    13·2 answers
  • HELP ILL GIVE 10 POINTS <br><br>(LOOK AT SCREENSHOT BELOW)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!