All categories

3 years ago

A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph

Mathematics

1 answer:

natima [27]3 years ago

7 0

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.

You might be interested in

Suppose you have 3 pieces of string measuring 6 inches, 9 inches, and 12 inches. How many unique triangles can you form with the

siniylev [52]

A triangle should have 3 points and 3 sides. Let say that the point is ABC. Then the sides would be AB, AC and BC.
There are 3 strings with a different length that can be put into the sides. Assuming the string can be used once, then the possible way would be:
3!/(1+3-3)!= 3!/1!= 3*2*1= 6 ways

8 0

3 years ago

suppose you know that over the last 10 years, the porbabiliy that your town would have at least one ma jor stor was 40%. describ

Anuta_ua [19.1K]

Answer:

The probability of a big storm is 40%.

Now, you can find a D10 (a die with 10 faces)

You can assign 4 numbers (0, 1, 2, 3) to the event "there is a major storm"

in this way, you have 40% of having a storm.

and the other 6 numbers (4, 5, 6, 7, 8, 9) to the event "there is not a major storm". This means that we have 60% of not having a storm.

now, when you roll the dice you can see if a year there will be a storm or not.

Now, you roll the dice 5 times (for the 5 years) and take note of the results and the number of storms in those 5 rolls.

Now do the same thing a bunch of times, at least 25 times.

Now, you recorded the results in each set of rolls, now see the number of sets that have at least years with storms.

Take that number and divide it by the total number of sets of data (in this case 25, for example)

The result is the probability that we are looking for.

6 0

3 years ago

Two digits of the 5-digit number A = 74*9* are missing. Fill in the missing digits so that the number obtained is the smallest p

e-lub [12.9K]

Answer:

A = 74295.

Step-by-step explanation:

74*9*

- the last number must be a 0 or a 5.

So we try 74090/45 - not an integer

74095/45 = No

74190/45 No

74195/45 No

74295 / 45 = 1651 So that's it,

6 0

3 years ago

Read 2 more answers

Find the area a and b circumference of the circle with radius 10 m and use 3.14 for pi

zhenek [66]

Answer:

$\rule6cm99999cm$

6 0

2 years ago

Read 2 more answers

What is the difference between Compound Interest and simple interest???

oksian1 [2.3K]

Answer:

Simple interest is calculated using initial principle while compound interest is calculated considering the interest also .

Step-by-step explanation:

Interest is the cost of borrowing money, where the borrower pays a fee to the lender for using his money. The interest, typically expressed as a percentage, can either be compounded or simple .

Simple interest is based on the principal amount , while compound interest is based on the principal amount and the interest that adds onto it in every period and the final principle is used for calculating the interest.

Simple interest is calculated on the principal amount of a loan and it's easier to find out than compound interest.

4 0

4 years ago