The answer is 4/1/1
(1)23(4)
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
Answer:
Hello!
~~~~~~~~~~~~~~~~~
1.2n+1=1-n
=
n = 0
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!
Answer:
-x^2-2x-3
Step-by-step explanation:
- Question 1: Just substitute in the values of f(x) and g(x) and simplify!
- f(x) - g(x) = 4x^2-5x+3-(5x^2-3x+6)
- f(x)-g(x) = 4x^2-5x+3-5x^2+3x-6
- f(x)-g(x) = -x^2-2x-3
Tell me if this helps, and if you still need number 2 or if you can do it by yourself! (Hint: substituting also plays a role in question number 2.)
Hope this helps!!
Answer:
x = 3
Step-by-step explanation:
3x + 2 = 11
-2 -2
3x = 9
÷3 ÷3
x = 3
