10
3 + 12 = 15 So, for every 15 beads, 3 are red. 15 * 3 = 45 So, 9 beads out of 45 are red.
Answer:
a) t = 0,22 sec
b) 0.85 lts/sec
c) Interval for inhalation [ 0 < ( π/4.5 t) ≤ π ]
Interval for exhalation [ π < ( π/4.5 t ) ≤ 2π ]
Step-by-step explanation:
The respiratory cycle is approximated
r(t) = 0.85 sin (π/4,5t)
a) how long is the respiratory cicle.
As for problem statement a respiratory cicle is time between two consecutive breath
Then cycle will go from sin (π/4.5 t) = 0 to the position when sin (π/4.5 t) becomes negative that is when sin (π/4.5 t) < 0 or just after (π/4.5 t) is equal to π , so
sin (π/4.5 t) = sin (π) or (π/4.5 t) = π
solving for t t = π /π*4,5
t = 1/ 4,5
t = 0,22 sec
b) The maximum rate of air intake is when sin( π/4.5 t) takes its maximum value which is 1.
maxmum rate of air intake is: 0.85 lts/sec
c) Interval for inhalation [ 0 < ( π/4.5 t) ≤ π ]
Interval for exhalaton [ π < ( π/4.5 t ) ≤ 2π ]
Answer:
It is 40% off!
Step-by-step explanation:
Since 50 x 2 is 100, you only have to double both numbers.
100 decreased to 60 is subtracting 40. It is 40% off!
Apply the common log function to both sides of this equation to solve it:
x log 10 = (x+3) log 5 = x log 5 + 3 log 5
Group the x terms together on the left: x (log 10 - log 5) = 3 log 5
Simplify the quantity inside the parentheses: log 10 - log 5 = log 10/5 = log 2.
Then x log 2 = 3 log 5. Solving for x: (3 log 5) / (log 2) (answer)
