Answer:
19.44 hours, about 19 hours 26 minutes
Step-by-step explanation:
The exponential equation that describes your caffeine level can be written as ...
c(t) = 120·(1 -0.12)^t . . . . where t is in hours and c(t) is in mg
We want to find t for c(t) = 10, so ...
10 = 120(0.88^t)
10/120 = 0.88^t . . . . . . . divide by 120
log(1/12) = t·log(0.88) . . . take logarithms
t = log(1/12)/log(0.88) ≈ 19.4386
It will take about 19.44 hours, or 19 hours 26 minutes, for the caffeine level in your system to decrease to 10 mg.
Answer:
hey did you ever found the answer because i need help with this question too
Step-by-step explanation:
To find the GCF, list the prime factors of each number, then multiply the factors that both number have in common. To find the LCD, find the smallest possible integer divisible by both numbers.
x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.
x = 8
PS = 3x + 3 + 21
PS = 3x + 24
PS = 3(8) + 24
PS = 24 + 24
PS = 48
Answer:
x = 14
Step-by-step explanation:
5x - 40 = 30
+40 +40
5x = 70
divide by 5 on both sides
x= 14
