Answer:
y = 5x + 3
x = 5y + 3
5y + 3 = x
5y = x - 3
y = x/5 - 3/5
f^-1(x) = x/5 - 3/5
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
2/3 (2/8 + 4/8) =
First simplify what is inside the parentheses
2/8+4/8 = 6/8
Replace with 6/8
2/3 (6/8) =
Then multiply
2*6 =12
3*8 = 24
12/24
Divide top and bottom by 12
1/2
Number of pins produced per hour is 1000
value of each pin is $8.37
total value of pins produced= 1000×$8.37
=$8370
Answer:
p(t) = 100%·2^(-t/1.32)
Step-by-step explanation:
The equation for exponential decay is ...
(remaining amount) = (initial amount)·2^(-t/(half-life))
Here, we can represent the percentage remaining by p(t) and the initial amount by 100%. Then, for a half-life of 1.32 minutes, the amount remaining is ...
p(t) = 100%·2^(-t/1.32) . . . . . where t is in minutes
_____
Alternate functional forms are possible, such as ...
p(t) = 100%·e^(-0.525112t)
p(t) = 100%·0.591489^t