Answer:
1/6
Step-by-step explanation:
We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation
4650 = 9300 * (1/64)^t
divide both sides by 9300
1/2 = (1/64)^t
First, we can tell that 2^6 = 64*. Because of this, we can say that (1/2)^6 = 1^6/2^6 = 1/64, so (1/64)^(1/6) = 1/2. We know this because
(1/2)^6 = 64
take the 6th root of both sides
(1/2) = (64)^(1/6)
. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds
* if this is harder to figure out, e.g. 3 and 729, we can plug (log₃729) into a calculator
Answer:
D
Step-by-step explanation:
The red graph is vertically shifted from the blue graph. Let's understand horizontal and vertical shifts.
If we have a graph of 
, then
- f(x) + a is a units shifted vertically up
- f(x) - a is a units shifted vertically down
- f(x-b) is b units shifted horizontally right
- f(x+b) is b units shifted horizontally left
Since the red one is vertically shifted 3 units up (compared to blue graph), the equation would be:
Correct answer is D
If you want the line to be perpendicular to the given line, you would have to keep the same slope and change the B-value.
Hope this Helps!<3
Yes, it does. Two subtraction symbols = a positive.
