ok that is easy but it is sideways so I cant read it well I am dislexic
Answer:
99 in³
Step-by-step explanation:
volume of cone = ⅓πr²h = 33 in³
volume of cylinder = πr²h = 3(volume of cylinder) = 99 in³
Answer:
y = 2.4
Step-by-step explanation:
If y varies inversely as x, it means there's an inverse relationship between y and x, that is if x is increasing, y is decreasing and vice versa. In such instance, we have to find the constant of proportionality "k"
Hence,
y~1/x
y=k/x
When y =-6 and x =-2, we insert these values to find the value of the constant "k"
-6 = k/-2
k = 12.
Using this value of k to determine value of y when x =5 becomes:
y = 12/5
y = 2.4
Answer: cheers
Step-by-step explanation: needed the points
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