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Alex787 [66]
3 years ago
13

The population of a bacteria colony doubles every 6 hours. For example, starting with a sample of 10 bacteria, after 6 hours the

re would be 20 bacteria and so on. After 12 hours there would be 40, and so on. Now consider a scientist who has collected a colony of 25 bacteria. Create an expression and approximate the number of bacteria after 3 hours.
Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Answer:

If the bacteria grow for six hours, each bacterium will divide 3 times per hour × 6 hours = 18 times.

Every time the bacteria reproduce, the number doubles.

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Step-by-step explanation:

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The linear function f(x) = 0.9x + 79 represents the average test score in your math class, where x is the number of the test tak
Levart [38]

Given:

The linear function for average test score in your math class is

f(x)=0.9x+79

where x is the number of the test taken.

The linear function g(x) in the given table represents the average test score in your science class, where x is the number of the test taken.

To find:

Part A: The test average for your math class after completing test 2.

Part B: The test average for your science class after completing test 2.

Part C: Which class had a higher average after completing test 4?

Solution:

Part A:

We have,

f(x)=0.9x+79

Put x=2 in the above function, to find the test average for your math class after completing test 2.

f(2)=0.9(2)+79

f(2)=1.8+79

f(2)=80.8

Therefore, the test average for your math class after completing test 2 is 80.8.

Part B:

From the given table it is clear that g(x) =79 at x=2.

Therefore, the test average for your science class after completing test 2 is 79.

Part C:

Put x=4 in f(x), to find the test average for your math class after completing test 4.

f(4)=0.9(4)+79

f(4)=3.6+79

f(4)=82.6

From the table it is clear that the value of g(x) is increased by 1 as x is increased by 1. So, the value of function g(x) at x=4 must be 1 more than 80.

g(4)=81

It is clear that,

82.6>81

Therefore, math class had a higher average after completing test 4.

3 0
3 years ago
Calculate the average speed (tin km/hr) of charlie who run to the store 4 km away in 30 minutes
Galina-37 [17]

ANSWER

8km/hr

EXPLANATION

The average speed

=  \frac{distance}{time}

Distance=4km

Time=30mins

Convert time to hours.

Time =0.5hrs

The average speed

=  \frac{4}{0.5}

= 8km/hr

8 0
3 years ago
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