Answer:
Step-by-step explanation:
To the find the equivalent of 
, evaluate the expression. Start by opening the bracket.
Pair like terms
The equivalent of is
Step-by-step explanation:
4 is the A or Ampltiude
To find the period set it equal to 2 pi/B
b=
b=
There is no phase shift
The midline or d or vertical shift is 1.
Our equation for 8 is
9.Use sin function. The a value is 2 or -2 your choice.
Set up the period equal to the equation
Which equal 6.
B=6
There is no C and the D and Vertical Shift is 1.
Our equation is
Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
Your answer is D.
Will always be x2 and y2 starting off
