To be able to make sure your camera is in focus
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
y'(t) = k√(y(t)) . . . . for some proportionality constant k
y(0) = 30
y(1) = 29
We observe that a function of the form
y(t) = a(t - b)²
will have a derivative that is proportional to y:
y'(t) = 2a(t -b)
We can find the constants "a" and "b" from the given boundary conditions.
At t=0
30 = a(0 -b)²
a = 30/b²
At t=1
29 = a(1 - b)² . . . . . . . . . substitute for t
29 = 30(1 - b)²/b² . . . . . substitute for a
29/30 = (1/b -1)² . . . . . . divide by 30
1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
b = 30 +√870 . . . . . . . . simplify
The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
Answer:
2. Reason: Addition Property of Equality
3. Statement: 3x=18
4. Reason: Division property of Equality
5. Statement: x=6 Reason: Simplifying.
Step-by-step explanation:
I'm pretty sure this is correct.
Answer:
4a. S = 300c
4b. S = 2400
Step-by-step explanation:
4a. There are 300 seats in a conference room 'c' so to find the amount of seats there are in total you need to times these values so...
S = 300c
4b. substituting 8 into c gets
S = 300x8
S = 2400
hope this helps!
Yes. You actually can have the same amount for each pay check. Because there are about 52 weeks in a year, you divide that by two, which goes to how many paychecks you get in a year. If you divide $39,000 by 26 weeks, you will get $1,500. So that equals to every time you get a paycheck, you get $1,500.
