Answer:
dV/dt = 3×10^2 × 0.5 = 150 in^3/sec
the volume of the cube is increasing at 150in^3/sec
Step-by-step explanation:
Volume V = length l^3
V = x^3
Differentiating both sides;
dV/dt = 3x^2 dv/dt
Given;
x = 10 in
dx/dt = 0.5 in/sec
dV/dt = 3×10^2 × 0.5 = 150 in^3/sec
the volume of the cube is increasing at 150in^3/sec
(2/3)x+4= 7
Subtract 4 from both sides
(2/3)x= 3
Divide both sides by 2/3. To divide by a fraction, multiply the first number by the reciprocal of the second.
3*3/2= 9/2
Final answer: 9/2 or 4.5
Seven hundred is the value of the seven in 43,782
Answer:
39
Step-by-step explanation:
f(x)=17x
f(3)=17(3)
f(x)=51
g(x)=4x
g(3)=4(3)
g(x)=12
f(x)-g(x)
51-12= 39