How many different types of cross sections of a cone are possible?. A. 3. B. 5. C. 6. D. 10

A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13

charle [14.2K]

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that $P(0) = 5000$

So

$P(t) = 5000e^{rt}$

After three hours it grew 6500 bacteria:

This means that $P(3) = 6500$ . We use this to find r.

$P(t) = 5000e^{rt}$

$6500 = 5000e^{3r}$

$e^{3r} = \frac{65}{50}$

$\ln{e^{3r}} = \ln{\frac{65}{50}}$

$3r = \ln{\frac{65}{50}}$

$r = \frac{\ln{\frac{65}{50}}}{3}$

$r = 0.0875$

So

$P(t) = 5000e^{0.0875t}$

How many bacteria will be present after 13 hours?

This is P(13). So

$P(13) = 5000e^{0.0875*13} = 15594.8$

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

7 0

3 years ago

Help plz

Gemiola [76]

Answer:

The 9th and 11th students are also boys.

Step-by-step explanation:

Every other student is a boy. Since the 7th student is a boy this means the 8th student is a girl.

You can also think of it with odd numbers. Every odd numbered student is a boy.

5 0

4 years ago

Read 2 more answers

A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on th

denis-greek [22]

Answer:

2/5 = 0.4

Explanation:

The table that shows the results and the question (taken from similar question) are:

Number Showing Frequency

on Top Face

1 0

2 3

3 3

4 6

5 3

6 5

Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face?

<h2 /><h2>Solution</h2><h2 />

The frequencies of each event recorded for a particular experience are named experimental probabilities and, in general, differ from the theoretical probabilities.

Experimental probabilities, for instance, when compared with the theoretical probabilities, may show a bias, like a loaded (unfair) die.

The experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face is equal to the number of times the die showed a 5 or a 6 on the top face (the frequencies) divided by the number of times the experiment was performed:

Frequency of 5 on top face: 3
Frequency of 6 on top face: 5

====

8

Number of times the experiment was performed: 0 + 3 + 3 + 6 + 3 + 5 = 20

Probability = 8 / 20 = 2 / 5 = 0.4 ← answer

<h2 />

8 0

3 years ago

QUICK! EASY! 50 POINTS!

Paha777 [63]

Answer:

create a circle with the origin as its centre and a radius of the origin and point a then locate a point on a circle that is 90 degrees clockwise from point a.

Please mark me as brainliest and follow me.

4 0

3 years ago

Read 2 more answers

Help fill in the chart

MrRa [10]

Could you please take a better picture I can’t really see it

8 0

3 years ago