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
H=0
Therefore:
144t-16t²=0
t (144-16t)=0
We have two equations:
1)
t=0 (when the ball is released)
2)
144-16t=0
-16t=-144
t=-144 / -16=9 (this is the time )
Answer: the ball hit the ground in 9 s.
10-2 = 8
2^3 =8
(2x2x2) = 8
Answer:
Explicit tn = 52 + (n - 1)*(-12)
Recursive = tn = t(n - 1) - 12
Step-by-step explanation:
The difference between term n and term n - 1 is can be found by taking the difference between and 2 consecutive terms.
t3 = 28
t2 = 40
d = t3 - t2
d = 28 - 40
d = - 12
Explicit
tn = a1 + (n - 1)*d
a1 = 52
d = - 12
tn = 52 + (n - 1)*(-12)
<em><u>Example</u></em>
Find t5
t5 = 52 + (5 - 1)*(-12)
t5 = 52 + 4 * - 12
t5 = 52 - 48
t5 = 4
Recursive
tn = t(n - 1) - 12
<em><u>Example</u></em>
t5 = t4 - 12
t5 = 16 - 12
t5 = 4 just as it did before.
Answer:
<em>A.(for weight in pounds)</em>
3, 4, 5, 6, 7
Median: 5
Mode: There are no mode in the following data set.
Mean: 3 + 4 + 5 + 6 + 7 = 25/5 = 25
<em>B.(for number of computers)</em>
4, 8, 18, 25, 45
Median: 18
Mode: There are no mode in the following data set.
Mean: 4 + 8 + 18 + 25 + 45 = 100/5 = 20
~hope this helps~
I would highly appreciate it if you b=would give me the brainliest~ :)
