Answer:
w = 62m
Step-by-step explanation:
We need to make an expression for the numbers of words (w) John types in m minutes.
We know he types 62 words in 1 minute, so 62 is the coefficient of m.
The dependent variable here is w, so that should on the left of the equal sign.
m, on the other hand, is independent, so that's on the right of the equal sign.
So, the expression is w = 62m.
Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
A postulate is an assumption we use for mathematical reasoning; it isn't yet proven. once it's proven, it becomes a theorem.
