Answer:
see the explanation
Step-by-step explanation:
we have
decompose the number 224 in prime factors
substitute
Simplify
Answer:
(x+6)-4
Step-by-step explanation:
Answer:
5,120 bacterias
Step-by-step explanation:
Given the amount of bacteria after x hours modelled by the equation:
f(x) = 20(2)^x/12
Note that x is in hours not days
To calculate the number of bacteria that will be contained within the culture after 4 days, we will first convert 4days into hours since x is in hours.
24hours = 1day
xhours = 4days
x = 24×4
x = 96hours
Substituting x = 96 into the equation
f(96) = 20(2)^96/12
f(96) = 20(2)^8
f(96) = 20×2^8
f(96) = 20×256
f(96) = 5,120
The number of bacteria that will be contained after 4days is 5,120bacterias
Recall that
Pressure = Force ÷ Area
In this context we have,
Pressure = 24,000 ÷ (16 × 12)
= 24,000 ÷ 192
= 125 Pa
Answer:
x -2y -2=0
Step-by-step explanation:
using the formula, m= ( Y2 - Y1)/( X2-X1)
the gradient is found. the coordinates chosen are (2,0) and ( 0,-1)
the equation of the line is obtained using the formula
y -y1= m(x -x1)
