Options :
A. The initial number of bacteria is 7.
B. The initial of bacteria decreases at a rate of 93% each day.
C. The number of bacteria increases at a rate of 7% each day.
D. The number of bacteria at the end of one day is 360.
Answer:
C. The number of bacteria increases at a rate of 7% each day.
Step-by-step explanation:
Given the function :
f(x)=360(1.07)^x ; Number of bacteria in sample at the end of x days :
The function above represents an exponential growth function :
With the general form ; Ab^x
Where A = initial amount ;
b = growth rate
x = time
For the function :
A = initial amount of bacteria = 360
b = growth rate = (1 + r) = 1.07
If ; (1 + r) = 1.07 ; we can solve for r to obtain the daily growth rate ;
1 + r = 1.07
r = 1.07 - 1
r = 0.07
r as a percentage ;
0.07 * 100% = 7%
Answer:
x² - 10x + 29
Step-by-step explanation:
The standard form of a quadratic is , ax² + bx + c (a ≠ 0 )
Given
(x - 5)² + 4 ← expand factor using FOIL
= x² - 10x + 25 + 4
= x² - 10x + 29 ← in standard form
diameter (d) = 2 · r
Circumference (C) = 2 π · r → C = π · d → d = 
Answer:
208
Step-by-step explanation:
With shapes like these, it's easier to break it into two squares. Area is width times height, and you know the taller square has a width of 6 and height of 16, so the area of that would be 96.
For the other square, subtract the 6 from the 14 to get the width, 8. For the height, subtract the 2 from the 16, and you get 14. 14x8 is 112.
Now add the two areas together, and you get 208.
