Answer:
The population of bacteria can be expressed as a function of number of days.
Population = ![\[5*2^{n-1}\]](https://tex.z-dn.net/?f=%5C%5B5%2A2%5E%7Bn-1%7D%5C%5D)
where n is the number of days since the beginning.
Step-by-step explanation:
Number of bacteria on the first day=![\[5 * 2^{0} = 5\]](https://tex.z-dn.net/?f=%5C%5B5%20%2A%202%5E%7B0%7D%20%3D%205%5C%5D)
Number of bacteria on the second day = ![\[5 * 2^{1} = 10\]](https://tex.z-dn.net/?f=%5C%5B5%20%2A%202%5E%7B1%7D%20%3D%2010%5C%5D)
Number of bacteria on the third day = ![\[5*2^{2} = 20\]](https://tex.z-dn.net/?f=%5C%5B5%2A2%5E%7B2%7D%20%3D%2020%5C%5D)
Number of bacteria on the fourth day = ![\[5*2^{3} = 40\]](https://tex.z-dn.net/?f=%5C%5B5%2A2%5E%7B3%7D%20%3D%2040%5C%5D)
As we can see , the number of bacteria on any given day is a function of the number of days n.
This expression can be expressed generally as where n is the number of days since the beginning.
Answer:
B(4,-2) D(-3,5)
Step-by-step explanation:
you must graph the points and project the lines in X and Y until they intersect and form a square
I attached an image
{35km + x = 140km} {140km - 35km= 105km} so the car traveled 105 kilometers.
Answer:
3/2
Step-by-step explanation:
A couple of different methods are used for dividing fractions.
1. "Invert and multiply". Dividing by a number is the same as multiplying by its reciprocal:
(3/4) / (1/2) = (3/4) × (2/1)
= (3·2)/(4·1) = 6/4 = 3/2
__
2. Make the denominators the same and use the ratio of numerators.
(3/4) / (1/2) = (3/4) / (2/4) = 3/2
_____
For these fractions, you can recognize that 3/4 is 1/4 more than 1/2, and that 1/4 is half of 1/2. That means 3/4 is half-again as much as 1/2, so is 1 1/2 = 3/2 times 1/2. This tells you the ratio (3/4) : (1/2) = 3/2.
__
Along the lines of the above, you can write the ratio as ...
(3/4) : (1/2)
and multiply by 4 to get
= (3/4)×4 : (1/2)×4 = 3 : 2
Break apart the 875.
8 becomes 800 the 7 becomes 70 and 5 is just 5. Now x it by the 4
800x4=3200
70x4=. 280
5x4=. 20
-------
3500
Not sure how to show the array on here
