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
Number one is A ) 4 units to the left
Answer:
7+5x+9=−3x
7+5(-2)+9=−3(-2)
7+-10+9=6
-3+9=6
6=6
Step-by-step explanation:
7+5x+9=−3x
7+5(-2)+9=−3(-2)
7+-10+9=6
-3+9=6
6=6
<h2>(x, y) = (21/13 , 84/13)</h2>
Step-by-step explanation:
x + 3y = 21
- 4x + y = 0
y = 4x
<h2>_____________</h2>
x + 3y = 21
x + 3(4x) = 21
x + 12x = 21
13x = 21
x = 21/13
y = 4x
y = 4 (21/13)
y = 84/13
(x, y) = (21/13 , 84/13)
