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
Answer: 810
<u>Step-by-step explanation:</u>
There are 10 numbers to choose from. Since the 2nd digit and 3rd digit cannot repeat the number before it, they only have 9 numbers to choose from.
1st digit and 2nd digit and 3rd digit
10 choices x 9 choices x 9 choices = 810
The answer is 6m - 6 = 8m + 4
Hope this helps please give brainless!!!
Answer: The product xy is not constant, so the relationship is not an inverse variation.
Step-by-step explanation:
For it to be an inverse variation, the product of x and y must be constant.
- For the first row, xy=2(424)=848.
- For the second row, xy=3(280)=840.
- For the third row, xy=4(210)=840.
This means <u>the product xy is not constant, so the relationship is not an inverse variation.</u>
Area is 2 dimensional while volume is three dimensional.
