Answer:
x=-5/2+3y
Step-by-step explanation:
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Answer:
C.)
Step-by-step explanation:
4x -20x -5b -x +2=-17x -8
-17x-5b+2=- 17x-8
+17x +17x
-5b +2= -8
-2 -2
-5b = -10
b= 2
Answer:
dh/dt=9.82x10^-3 ft/min
Step-by-step explanation:
1. You have that the rate is10 ft³/min. Then:
dV/dt=10
2. The formula for calculate the volume of a cone, is:
V=1/3(πr²h)
"r" is the radius and "h" is the height.
3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:
r=diameter/2
diameter=3h
r=3h/2
4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:
V=1/3(πr²h)
V=1/3(π(3h/2)²(h)
V=1/3(π9h²/4)(h)
V=9πh³/12
5. Therefore:
dV/dt=(9πh²/4)dh/dt
h=12
dV/dt=10
6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:
dV/dt=(9π(12)²/4)dh/dt
10=(1017.876)
7. Finally, you obtain:
dh/dt=10/1017.876
dh/dt=9.82x10^-3 ft/min
The answer to your question is h < 10.3
Because if you add 9 to both sides (1.3+9) you'll get h <10.3
hope this helps. Peace out homie
You could draw out a word diagram
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