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%
9514 1404 393
Answer:
2 10/27 square inches
Step-by-step explanation:
The length is 1 7/9 = 16/9 inches. The width is 3/4 of that, so is ...
(3/4)(16/9) = 4/3 inches
The area is the product of length and width, so is ...
A = (16/9 in)(4/3 in) = 64/27 in²
The area of the rectangle is 2 10/27 square inches.
V=BH
The base is 25 square feet because 5*5=25. The height is x feet. The volume is 62.5 cube feet.
62.5=25*x
2.5=x
X should equal 2.5 feet.
Answer:
( a+b) (a-b)
x^2 - 50
Step-by-step explanation:
The formula for difference of squares is
a^2 - b^2 = ( a+b) (a-b)
121x^2 -144 = (11x)^2 - 12^2 so this is the difference of squares
x^2 - 16y^2 = (x)^2 - (4y)^2 so this is the difference of squares
9x^2 -64 = (3x)^2-8^2 so this is the difference of squares
x^2 - 50 = (x)^2 - 2*(5)^2 this is not the difference of squares