Answer:
Step-by-step explanation:
Rate at which gas is escaping, dV/dt = 14 ft³/hr
Volume, V = 400 ft³
Volume of a sphere, ................(1)
Differentiate both sides with respect to t
........................................(2)
From equation (1)
Substitute the value of r and dV/dt into equation (2)
3.5 times as much flour as chocolate chips....
f = 3.5c
f = 1 3/4 (or 1.75)
1.75 = 3.5c
1.75 / 3.5 = c
0.5 = c......chocolate chips needed would be 1/2 a cup
Complete the square: x^2 + 24x = 17
Identify the coefficient of x. It is 24. Take half of that coefficient: 24/2 = 12.
Now add the square of 12 to both sides of x^2 + 24x = 17
x^2 + 24x + 144 = 17 + 144
Write in factored form:
(x + 12)^2 = 161
Taking the square root of both sides:
x+12 = plus or minus