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
Answer:
s(t) = -4.9t² + 39.2t
Step-by-step explanation:
Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²
Given
g = -4.9m/s²
v0 = 39.2m/s
s0 = 0m (the initial height)
On substituting into the formula;
s(t) = gt² + v0t + s0
s(t) = -4.9t² + 39.2t + 0
s(t) = -4.9t² + 39.2t
This gives the equation that models the height
The lowest value of sinα is -1.
When x=1, you get:
So the maximum value of the function is 15.
Answer:
51m
Step-by-step explanation:
-Paul is 6ft, and has a 10ft shadow. The pole has a 85ft shadow:
-Using ratios:
Let h be the height of the flagpole:
Hence, the height of the pole is 51m
8% = 0.08
0.08 * 75 = 6
6 people surveyed.
Please make this answer the brainiest!
