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
Table C is a function because there is one x-value for every y-value.
Assume that you only include whole numbers (1,2,3,4,5,6,7,8,9) and not 3.5 and such
so if 1 is odd and less than 5 then it is
1 or 3, since 5 isn't included
then the other number, to be less than 5 when added,
must be
1+x<5
3+x<5
solve each
1+x<5
subtract 1
x<4
set of answers are 1,2,3
3+x<5
subtract 3
x<2
set of answer is 1
so the possible numbers are
1,2,3
that is 3 numbesr out of 9 so
probability=(total desired outcomes)/(total possible outcomes) so
disred outcomes=3
total possible=9
3/9=1/3
the probabiltiy is 1/3
Answer:
Step-by-step explanation:
<u>The scale factor is:</u>
Applied to the area we consider k² as the area is the product of two dimensions.
<u>Find the actual area:</u>
- 0.25 m² : (1/400)² =
- 0.25 m² * 160000 =
- 40000 m² =
- 40000 * 1/10000 hectares =
- 4 hectares
Answer:
D
Step-by-step explanation:
when factoring, the two numbers that you get after you factor are also called solutions, or x intercepts. from this, we know that since the line crosses at positive 1 and positive 9, the answer must be -1 and -9 as you flip the sign after factoring to get the real answer
(ps you can also just plug in all of the answer choices to desmos and see which one matches your graph)
