Answer:
The answer to your question is 2 seconds
Step-by-step explanation:
Data
function y = -14x² + 56x
maximum height = ?
Process
1.- Find the derivative of the function
y' = -28x + 56
2.- Equal to zero the result
-28x + 56 = 0
3.- Solve for x
-28x = - 56
x = -56/-28
x = 2
4.- Conclusion
It takes to the ball 2 seconds to reach the maximum height.
Answer:
Complete the sentences.
To find the z-score for the 56th percentile means that
the area above the z-score will be ✔ 0.44 and the
area below the z-score will be ✔ 0.56.
The z-score for the 56th percentile is ✔ 0.15
*you typed the question weird, but I hope this helps*
3y + 5.2 = 2 - 5y
3y + 5y + 5.2 = 2
8y = 2 - 5.2
8y = -3.2
y = (-3.2) / 8
y = -0.4
Answer:
9,942 bacteria were there at 10 hours.
Step-by-step explanation:
Equation for population decay:
The equation for population decay, after t hours, is given by:
In which P(0) is the initial population and r is the decay rate, as a decimal.
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.
This means that 
and that when 
. So we use this to find r.
![\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}](https://tex.z-dn.net/?f=%5Csqrt%5B18%5D%7B%281-r%29%5E%7B18%7D%7D%20%3D%20%5Csqrt%5B18%5D%7B%5Cfrac%7B900%7D%7B200000%7D%7D)
So
At this rate of decay, how many bacteria was there at 10 hours?
This is P(10). So
Rounding to the nearest whole number:
9,942 bacteria were there at 10 hours.
