Given that the height of the disc is modeled by the function:
h=-16t^2+20t+6
a] The maximum height will be as follows:
At maximum height:
h'(t)=0
from h(t)
h'(t)=-32t+20=0
thus
t=20/32
t=5/8 sec
thus the maximum height will be:
h(5/8)=-16(5/8)^2+20(5/8)+6
=12.25 ft
b] <span>How long will it take the disc to reach the maximum height?
</span>time taken to reach maximum height will be:
from h(t)
h'(t)=-32t+20=0
thus
t=20/32
t=5/8 sec
thus time taken to reach maximum height is t=5/8 sec
c]<span>How long does it take for the disc to be caught 3 feet off the ground?
</span>h(t)=-16t^2+20t+6
but
h(t)=3
thus
3=-16t^2+20t+6
solving for t we get:
0=-16t^2+20t+3
factoring the above we get:
t=5/8-/+√37/8
t=-1.5256 or 2.776
since there is no negative time we pick t=2.776
Hence time taken for the disc to be caught 3 ft from the ground is 2.776 ft
Answer:
your answer is C. 31%
percentage of yellow marbles =
× 100
× 100
<span>Nonrhyming stressed syllables</span>
Answer:
True
Its true because your using commutative property.
The commutative property: states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
Examples:
- 6x3 = 3x6
- 7x4 = 4x7
- 1x2 = 2x1
- 6x7 = 7x6
Even though these numbers are switched they are going to have the same answer.
Step-by-step explanation:
:))
Answer: 4h - 3
<u>Step-by-step explanation:</u>
replace "x" with "h - 1" and simplify
f(x) = 3x + h
f(h - 1) = 3(h - 1) + h
= 3h - 3 + h
= 4h - 3