Step-by-step explanation:
d(t) = -16t² + 96t + 112
A) The quarter's initial height is at t = 0.
d(0) = -16(0)² + 96(0) + 112
d(0) = 112
The quarter is tossed from a height of 112 feet.
B) The maximum height is at the vertex of the parabola, which is at x = -b/(2a).
t = -(96) / (2 × -16)
t = 3
The quarter reaches its maximum height after 3 seconds.
C) d(3) = -16(3)² + 96(3) + 112
d(3) = 256
The quarter reaches a maximum height of 256 feet.
D) When the quarter lands in the water, d(t) = 0.
0 = -16t² + 96t + 112
0 = t² − 6t − 7
0 = (t + 1) (t − 7)
t = -1 or 7
Since t can't be negative, t = 7. So the quarter lands in the water after 7 seconds.
Answer:
Option B)
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
The doctors and u=instructor claims that practicing yoga reduces blood pressure and hence is beneficial to people.
Population mean, μ = 140 mm
Sample mean, 
= 139 mm
Sample size, n = 51
Sample standard deviation, s = 5 mm
Thus, we can design the null hypothesis and alternate hypothesis as
The null hypothesis states that the population have a blood pressure of 140 mm. The alternate hypothesis states that yoga reduces the blood pressure and the sample has a blood pressure less than 140 mm.
Thus, the correct answer is
Option B)
Answer:
B
Step-by-step explanation:
The pattern is to add 4 each time. So 17+4 is 21, 21+4 is 25, and 25+4 is 29
the answer to the question is 799
Answer: By 9.1%
Step-by-step explanation:
