Answer:
5
Step-by-step explanation:
One step equation. You would subtract 7 from 12 to get 5 because x would be alone now.
is a right triangle with base length 1 and height 8, so the area of
is
.
The average value of
over
is given by the ratio
The denominator is just the area of
, which we already know. The average value is then simplified to
In the
-plane, we can describe the region
as all points
that lie between the lines
and
(the lines which coincide with the triangle's base and hypotenuse, respectively), taking
. So, the integral is given by, and evaluates to,
Answer:x=-2 y=-6
Step-by-step explanation:
11x+4y=-46..........(1)
7x-4y=10..............(11)
Add (1) and (11)
11x+7x+4y-4y=-46+10
18x=-36
Divide both sides by 18
18x/18=-36/18
x=-2
substitute x=-2 in (11)
7x-4y=10
7(-2)-4y=10
-14-4y=10
Collect like terms
4y=-14-10
4y=-24
Divide both sides by 4
4y/4=-24/4
y=-6
Since r=h/2 and V=(hpr^2)/3
V=(ph^3)/12
V(15)=281.25p and since V=10t, t=28.125p
V=(ph^3)/12
dV/dh=(3ph^2)/12=(ph^2)/4 and since V=10t, dV/dt=10
(dh/dV)(dV/dt)=dh/dt=12/(3ph^2)*10
dh/dt=120/(3ph^2) and we want the rate when h=15 so
dh/dt(15)=120/(675p)
dh/dt=0.05658 ft/min
Answer:
<h2>252 mi</h2>
Step-by-step explanation: