That is when h=0
so assuming yo meant
h(t)=-16t²+24t+16
solve for t such that h(t)=0
because when height=0, the gymnast hits the ground
so
0=-16t²+24t+16
using math (imma complete the square
0=-16(t²-3/2t)+16
0=-16(t²-3/2t+9/16-9/16)+16
0=-16((t-3/4)²-9/16)+16
0=-16(t-3/4)²+9+16
0=-16(t-3/4)²+25
-25=-16(t-3/4)²
25/16=(t-3/4)²
sqrt both sides
+/-5/4=t-3/4
3/4+/-5/4=t
if we do plus (because minus would give us negative height)
8/4=t
2=t
it takes 2 seconds
Answer:
1 / 4 ( or ) 0.25
Step-by-step explanation:
Let the missing number be " x ".
12 . x = 3
x = 3 / 12
x = 1 / 4
( or )
x = 0.25
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
convert 3.9 kg to grams
3.9×1000=3900 g
density = mass/ volume
= 3900/ 200
=19.5 g/cm3
Answer:
6, 12, 24, 48 and 96.
Step-by-step explanation:
We look for a geometric sequence with first term = 3:
nth term= a1 r^(n-1)
3 r^(n-1) = 192
r^(n-1) = 192 / 3 = 64
2 ^ 6 = 64 so r = 2.
Series is 3 ,6, 12, 24, 48, 96, 192.
So 5 geometric means would be 6, 12, 24, 48 and 96.