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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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Find the slope between the following points: (-5,2) and (3,9)
Kay [80]

Answer:

M=7/8

Step-by-step explanation:

The equation used to solve this is yz-y1/x2-x1.

This applied to the problem would look like 9-2/3--5

Simplified this would be, 7/8 as your slope

4 0
3 years ago
Steve makes the tree diagram shown below to find the possible outcomes of tossing a penny, a nickel, and a dime. What is the pro
kirza4 [7]
The answer is B) 1/4.

There are 2 outcomes in his tree that have all coins with the same side up:  HHH and TTT.  There are 8 total outcomes.  This makes the probability 2/8 = 1/4.
3 0
4 years ago
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
Fantom [35]

Answer:

<h2>If we placed the number 10 in the box, we obtain a system of equations with infinitely many solutions.</h2>

Step-by-step explanation:

The given system is

y=2x-5\\2y-4x=a

<em>It's important to know that a system with infinitely many solutions, it's a system that has the same equation</em>, that is, both equation represent the same line, or as some textbooks say, one line is on the other one, so they have inifinitely common solutions.

Having said that, the first thing we should do here is reorder the system

y=2x-5\\2y=4x+a

This way, you can compare better both equations. If you look closer, observe that the second equation is double, that is, it can be obtained by multiplying a factor of 2 to the first one, that is

y=2x-5\\2y=4x-10

So, by multiplying such factor, we obtaine the second equation. Observe that a must be equal to 10, that way the system would have infinitely solutions.

Therefore, the answer is 10.

4 0
3 years ago
There's 40 students on the team 22 are girl what percent are boys
Klio2033 [76]

Answer:

45% are boys

Step-by-step explanation:

because 18/40 = 45%

7 0
3 years ago
Latoya drives 8 miles to work in 13 minutes. What is her average rate, in miles per hour, when rounded to the nearest wholes num
Mama L [17]

Answer:

37 miles per hour

Step-by-step explanation:

To find the average rate (average speed) of Latoya in miles per hour, you would divide the distance traveled (in miles) by the time taken to travel (in hours).

So we know that Latoya traveled 8 miles in 13 minutes. We cannot divide 8 by 13, because 13 is in minutes, not hours. We must convert 13 minutes to hours before dividing.

There are 60 minutes in one hour, so to covert minutes into hours, we would divide the minutes (13) by 60. Doing this would give you 13/60. You cannot simplify the fraction 13/60, because 13 is a prime number. It would be best to just leave it as it is for now. So Latoya traveled for 13/60 hours.

Now, to find her average rate in miles per hour, you divide the distance traveled in miles (8 miles) by the time it took to travel in hours (13/60):

8 ÷ 13/60

Remember, a ÷ b/c = a × c/b. Using this:

8 ÷ 13/60 = 8 × 60/13 = 480/13 ≈ 37 rounded to the nearest whole number.

Latoya had an average rate of about 37 miles per hour.

I hope this helps. :)

6 0
3 years ago
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