The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Since you are given the slope (0.5) and the y-intercept (3), all you have to do is substitute these given values into the equation. Substituting them in you get: y = 0.5x + 3, which is your answer.
Answer:
7. C(N(h))=33hx+460h
8. about $13.94 is the cost
Step-by-step explanation:
7. C(x)=(33x+460)(N(h))=(N(40)h)--C(x)=(33x+460)(40h)--C(x)=1320hx+18400h--simplified to C(N(h))=33hx+460h
8. C(N(10))=33(10)x+460(10)--C(N(10))=330x+4600--4600/330=about13.94
The volume of a cone is
V = (1/3)πr³
We are given with radius and the height of cone, so we can solve for the radius as function of water level using ratio and proportion
3/9 = r/h
r = h/3
Substituting
V = πh³/81
Taking the derivative
dV/dt = πh²/27 dh/dt
Solving for dh/dt given
dV/dt = 10 m³/s
and
h = 3 m
dh/dt = 9.55 m/s
Area = (side length)^2
Here,
64n^36 = s^2. Take the sqrt of both sides, obtaining 8n^18 = s. This is the principal square root. We use this positive quantity because the measure of side length must be positive.
