Yes you are correct
60 * 360 / 40 = 540
2^3 * 2^-5 = 2^(3 + (-5) = 2^(3 - 5) = 2^-2
Answer:
-12 = 3x - 4y
Step-by-step explanation:
Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.
Using the point slope form, we get:
y - 3 = (3/4)(x - 0), or
4y - 12 = 3x, or
-12 = 3x - 4y (which is in Standard Form).
Assuming that <span>4^2-6(2^x)-16=0 is correct, we can rearrange it as:
</span><span>-6(2^x) + 4^2 - 16=0
Are you sure it's not </span>6(2^x) + 4^2 - 16=0 ?
If 6(2^x) + 4^2 - 16=0 is correct, then
6(2^x) + 4^2 - 16=16 - 16 = 0, that is, 6(2^x) = 0. Then x = 0 (answer)
Answer:
After 16 hours bacterial count will be 11600.
Step-by-step explanation:
Bacterial growth is always an exponential growth in a given culture.So the formula for the growth will be
Final counts of bacteria = Initial counts × 
Given from first part Initial counts = 5000
Final counts= 6500 and time of growth = 5 hours
Then we will get the value of rate of growth of bacteria from the bacteria
⇒ 6500 = 5000×

![Rate = \sqrt[5]{1.3} = 1.05](https://tex.z-dn.net/?f=Rate%20%3D%20%5Csqrt%5B5%5D%7B1.3%7D%20%3D%201.05)
Now again to get the value of bacteria after 16 hours
Final Count = 5000×
= 5000×2.32
= 11600