To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time it will reach the ground = 10 s
Answer:
0.3114
Option d is right
Step-by-step explanation:
Let X be the time spent on a treadmill in the health club
Given that research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes
Also given that X is normal
the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
round off to two decimals tog et
the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31
Hence option d is right
is the equation used for determining area from radius. We're given diameter, so to get the radius simply divide by 2. 19/2 = 9.5.
, when solved, equals
. After rounding to the nearest tenth, we get
Answer:
157 cm³
Step-by-step explanation:
Given
Radius (r) = 5 cm
height (h) = 6 cm
Volume of the cone (V) = ?
We have the formula
V = 1/3 *π*r²*h
V = 1/ 3 * 3.14 * 5² * 6
V = 157 cm³
Hope it will help :)
