Answer:
Chucks spent 8 minutes running and 15 minutes swimming
Step-by-step explanation:
Here, we want to know the amount of time Chuck spends on individual activities.
since the total time spent for the burning is 23 minutes;
then ;
r + w = 23 ••••••••(i)
Now, the number of calories burnt to running for r minutes will be r * 35 = 35w calories
The number of calories burnt to swimming for w minutes will be w * 30 = 30w calories
The addition of both gives the total calories burnt;
Hence;
35r + 30w = 730 ••••••••(ii)
So we have two equations to solve simultaneously ;
From i; r = 23-w
Substitute this into ii
35(23-w) + 30w = 730
805 -35w + 30w = 730
35w -30w = 805-730
5w = 75
w = 75/5
w = 15 minutes
but r = 23 - w
r = 23 -15
r = 8 minutes
Answer:
Volume = 14,836.5 cubic inches
Step-by-step explanation:
Cylinder not shown but information given. So we will calculate the volume.
Volume of Cylinder is given by the formula:

Where
V is the volume
r is the radius (HALF of DIAMETER)
h is the height
It is given in the problem,
Height is 21
h = 21
and
half the diamter (aka radius) is 15
r = 15
Substituting into formula and using 3.14 for
, we get the volume:

Hence, the volume is:
Volume = 14,836.5 cubic inches
Answer:
green horizontal asymptote: y = -2
blue horizontal asymptote: y = -4
Step-by-step explanation: Exponential functions have a horizontal asymptote
The x intercept is -2y + 5
hope this helps