Answer:
354.
Step-by-step explanation:
Exponential growth:
380 = 200e^(k*9) where k is a constant to be found.
e^9k = 380/200 = 19/10
ln e^9k = ln 1.9
9k = ln 1.9
k = ln 1.9 / 9
k = 0.071
After 8 hours:
Number of bacteria =
200*e^(8*0.071)
= 354.
The answer
y=−x^2−2x-24 is like the form of y=ax² +bx +c, to find the vertex we use the formula:
the x intercept according to the vertex is x=-b/2a, and the vertex V is a point such that V [-b/2a, f(-b/2a)]
the x intercept is x= -(-2) / 2(-1) =-1, and f(-1)= -1 +2 -24= -23
the vertex is V(-1, -23)
Let x and y be your two consecutive whole numbers
x < sqrt(142) < y
x^2 < 142 < y
So, we are looking for x and y such that x^2 < 142 and y^2 > 142.
The closest squared number to 142 is 144 = 12^2.
Next is 11^2 = 121.
11 and 12 are consecutive.
11^2 = 121 < 142 < 144 = 12^2
Thus, 11 and 12 are your numbers
2.75 as a fraction is 25/100 then you divided which you get 11/4 which is 2 3/4 so 2 3/5 is more hope that helped
