Answer:
NO amount of hour passed between two consecutive times when the water in the tank is at its maximum height
Step-by-step explanation:
Given the water tank level modelled by the function h(t)=8cos(pi t /7)+11.5. At maximum height, the velocity of the water tank is zero
Velocity is the change in distance with respect to time.
V = {d(h(t)}/dt = -8π/7sin(πt/7)
At maximum height, -8π/7sin(πt/7) = 0
-Sin(πt/7) = 0
sin(πt/7) = 0
Taking the arcsin of both sides
arcsin(sin(πt/7)) = arcsin0
πt/7 = 0
t = 0
This shows that NO hour passed between two consecutive times when the water in the tank is at its maximum height
Answer:
7.12 equations? K12? whats that
Answer:
456,976,000
Step-by-step explanation:
The total number of possibilities is the product of the number of possibilities in each of the character positions:
10 · 10 · 10 · 26 · 26 · 26 · 26
= 10^3 · 26^4 = 456,976,000
All sides of a square are equal, so set the two equations equal to each other and solve.
5x - 8 = 3x + 14
2x - 8 = 14
2x = 22
x = 11
Answer:
m= -5/2
Step-by-step explanation:
formula for slope(m) : ΔY/ΔX (change in y coordinates - change in x coordinates)
change in y coordinates: 5-(-5) = 10
change in x coordinates: -4-(0) = -4
10/-4 = -5/2= -2.5