Whooh
SA=4pir²
take derivitive
dSA/dt=8pir dr/dt
and do the volume as well
V=(4/3)pir³
dV/dt=4pir² dr/dt
we need to solve for dV/dt
to do taht we need dr/dt
so
dSA/dt=8pir dr/dt
given dSA/dt=3pi cm/sec
r=2
3pi=8pi2 dr/dt
3=16 dr/dt
3/16=dr/dt
now do the volume
dV/dt=4pir² dr/dt
r=2
dr/dt=3/16
dV/dt=4pi2² (3/16)
dV/dt=16pi(3/16)
dV/dt=3pi
nice
the volume of the sphere is decreasing at 3pi cm/sec as well
The slope of this line is 1 and the y-intercept is -2.
In order to find this, you need to put it in slope intercept form. This is done below for you.
3x - 3y = 6 -----> Subtract 3x from both sides
-3y = -3x + 6 -----> Divide by -3
y = x - 2
Now that you have this, you can find the slope by looking for the coefficient of x. In this case it is 1. You can find the intercept as the constant at the end, which is -2.
Answer:
each trip travelled 3106 km
Step-by-step explanation:
The computation of the each ship travelled is shown below:
= Distance travelled ÷ number of ships
= 6212 km ÷ 2 ships
= 3106 km
Hence, each trip travelled 3106 km
We simply applied the above formula
Its simple. the problem gives you 4 numbers: 10 people, 140lb, 164 miles, 24 hours
its asking for people and distance so you dont need 140 and 24.
to figure out how many miles 1 person rolled the barrel you simply take 164 divided by 10
164/10=16.4
each person roled the barrel 16.4 miles