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:
345.2
Step-by-step explanation:
1: Move 3.452 to the end of the equation
(3.452 × 100) -> (3.452 × 100 = 3.452)
2: Since 100 has 2 zeros, move the decimal point 2 places to the right.
(3.452 × 100 = 3.452) -> (345.2)
Hope this helps!
Answer: 36 beans
Step-by-step explanation:
Make a proportion
For every 100 beans, 8 are damaged
8/100
For every 450 brand, x are damaged
x/450
Set the expressions equal to each other
8/100=x/450
100x=3600
Divide by 100 on both sides
x=36
So, out of 450 beans, 36 should be damaged
Hope this helped! :)
Answer:
the hundreds place
Step-by-step explanation:
Answer:
the building strong enough to withstand the denali quake
Step-by-step explanation:
the building strong enough to withstand the denali quake
Step-by-step explanation:
denali quake 6.7 x 70 = 469
the building in denali should be strong enough to withstand an earthquake of that magnitude
rat island quake 7.8 x 30 = 234
the building in the rat islands should be strong enough to withstand an earthquake of that magnitude :)
