Answer:
Step-by-step explanation:
Given the volume of the sphere expressed as V = 4/3πr³
If the balloon is being inflated so that the radius increases at a constant rate r(t) = 12t + 2, the function that represents the volume of the weather balloon in terms of time can be derived by simply substituting r = 12t+2 into the formula for finding the volume of the balloon as shown;
V(t) = 4/3 π(12t+2)³
V(t) = 4π(12t+2)³/3
b) To find the volume of the balloon 12 seconds after inflation begins, we will substitute t = 12 into the resulting equation in (a)
V(12) = 4π(12(12)+2)³/3
V(12) = 4π(144+2)³/3
V(12) = 4π(146)³/3
V(12) = 4π(3,112,136)/3
V(12) = 39,108,254.38/3
V(12) = 13,036,084.79
Volume of the balloon to neatest cube metres is 13,036,085m³
Wayne is solving the linear system of equations using the graphical method, but it can also be solved analytically.
We will solve the system of equations analytically to find in which point Wayne will find the solution graphically.
Resolving we have:
y = -34x + 5 (Eq1)
x = -2 (Eq2)
Substituting (Eq2) in (Eq1) we have
y = -34 * (- 2) + 5
y = 73
Therefore the point will be
(x, y) = (- 2,73)
answer
the point will have found the solution of this system of linear equations is (-2,73)
Answer:
4
Step-by-step explanation:
Just PLug in the Values, and solve using PEMDAS.
