Answer:
C. The United States maintains military forces in South Korea, a close ally.
Step-by-step explanation:
Answer:
dh/dt = 0,07 ft/min
Step-by-step explanation:
The swimming pool has the shape of right circular cylinder, therefore its volume is
V(c) = π*x²*h
Where x is the radius of the base and h the height
We take differentiation on both sides of the equation to get:
dV/dt = π*x²*dh/dt
The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.
Then:
8 = π*x²*dh/dt
dh/dt = 8 / π*x²
dh/dt = 8/113,04
dh/dt = 0,07 ft/min
Answer:
The solution in the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dashed line 
The slope of the dashed line is positive
The y-intercept of the dashed line A is (0,3)
The x-intercept of the dashed line A is (-4.5,0)
----> inequality B
The solution of the inequality B is the shaded area below the solid line 
The slope of the solid line is negative
The y-intercept of the solid line B is (0,2)
The x-intercept of the solid line B is (6,0)
The solution of the system of inequalities is the shaded area between the shaded line and the solid line
using a graphing tool
see the attached figure
S=small pizzas
p=pasta dinners
s+p=1600
9s+13p=15600
multiply first equaiton by -9 and add to the second one
-9s-9p=-14400
<u>9s+13p=15600 +</u>
0s+4p=1200
4p=1200
divide by 4
p=300
sub back
s+p=1600
s+300=1600
minus 300 both sides
s=1300
1300 small pizzas
300 pasta dinners