A=g
v=⌠g dt
v=gt+C, where C=v initial
v=gt+vi
h=⌠v dt
h=gt^2/2+vit+C, where C=h initial
h=gt^2/2+vit+hi
We are told that vi=42 ft/s, hi=0, and we know g≈-32 ft/s^2 so
h(t)=-16t^2+42t
The ball will hit the ground when h=0 so
-16t^2+42t=0
-2t(8t-21)=0, since t>0
8t-21=0
8t=21
t=21/8
t=2.625 sec
t≈2.6 sec (to nearest tenth of a second)
Answer:
-1/2 or 
Step-by-step explanation:
to find the slope, use the formula
(y₁ - y₂)/(x₁ - x₂)
(2 - -3)/(-4 - 6)
(2 + 3)/(- 4 - 6)
5/-10
1/-2
-1/2
Answer:
5/18
Step-by-step explanation:
There are 9 pieces of fruit in the bowl, tangerines and 5 clementines.
Assuming that they do not put the fruit back
P (tangerine) = number of tangerines/ total = 4/9
Then John keeps his and there are 8 pieces of fruit in the bowl,
3 tangerines and 5 clementines.
P (Clementine) = number of clementines/ total = 5/8
P (tangerine, no replacement, Clementine) = P (tangerine) * P (Clementine)
= 4/9 * 5/8 =5/18
Answer: $12 an hour
Step-by-step explanation:
Rosey works 37 hours a week and 4 weeks in a month.
Total hours are:
= 37 * 4
= 148 hours
In order to at least cover the $1,776 in expenses she incurs every month, Rosey's hourly pay must be:
= expenses / working hours in month
= 1,776 / 148
= $12 an hour
