That is when height or h(t)=0
0=-16t^2+12t+4
use math to solve
I will complete the square
group t terms
0=(-16t^2+12t)+4
factor out quadratic coefient
0=-16(t^2-(3/4)t)+4
take 1/2 of linear coefient and squaer it
(-3/4)/2=-3/8, (-3/8)^2=9/64
take negative and positive of it and add to inside of parenthasees
0=-16(t^2+(-3/4)t+9/64-9/64)+4
factor pefect square
0=-16((t-3/8)^2-9/64)+4
expand/distribute
0=-16(t-3/8)^2+9/4+4
0=-16(t-3/8)^2+25/4
add -16(t-3/8)^2 to both sides
16(t-3/8)^2=25/4
divide both sides by 16
(t-3/8)^2=25/64
sqrt both sides
remmber positive and negative roots
t-3/8=+/-5/8
add 3/8 to both sides
t=3/8+/-5/8
t=3/8+5/8 or t=3/8-5/8
t=8/8 or t=-2/8
t=1 or -1/4
we can't have negative time so
at t=1
1 second
The correct answer is 15,750. Hope this helps.
Answer:
es 999
Step-by-step explanation:
Step-by-step explanation:
1.
when 3 coins are flipped the following outcomes are possible
h = heads, t = tails
h h h
h h t
h t h
h t t
t h h
t h t
t t h
t t t
yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means
2×2×2 = 2³ = 8 possibilities.
2.
at least 2 tails means 2 or 3 t in the list item :
h t t
t h t
t t h
t t t
3.
so, 4 out of the 8 possible outcomes. the probability is then therefore
4/8 = 1/2 = 0.5
