This sequence starts with an initial set; let’s call it s1. This set contains 20 cans, and every set following would have two less cans than the last set. So,
s1=20
s2=s1-2=18
s3=s2-2=16
•
•
•
s9=s8-2=4
How many cans in the display represents the value of each set added together, so we can denote this as
s1+s2+s3+...+s9
and replacing with values:
20+18+16+...+4 = 108
The number of cans in the display equals 108.
(The set notation seems weird, but by practicing this application now, the Calculus version will seem easier.)
Step 3:
14/7x-6/3=5
2x-2=5
2x=5+2
2x=7
x=7/2
I think the answer is .602050
Answer:
In words the answer is between t=0 and t=2.
In interval notation the answer is (0,2)
In inequality notation the answer is 0<t<2
Big note: You should make sure the function I use what you meant.
Step-by-step explanation:
I hope the function is h(t)=-16t^2+32t because that is how I'm going to interpret it.
So if we can find when the ball is on the ground or has hit the ground (this is when h=0) then we can find when it is in the air which is between those 2 numbers.
0=-16t^2+32t
0=-16t(t-2)
So at t=0 and t=2
So the ball is in the air between t=0 and t=2
Interval notation (0,2)
Inequality notation 0<t<2