H(t)=-16t^2+1221 is the function for the height as a function of time. It will hit the ground when h=0 so:
-16t^2+1221=0
16t^2-1221=0
16t^2=1221
t^2=1221/16
t=√(1221/16) seconds
t≈8.74 seconds (to nearest hundredth of a second)
Since 52 divided by 8 equals 6.5 the remainder is 5 making the quotient 6.5
The unit ratio is defined as the total cost divided by the number of oz.
So, the large popcorn has a unit cost of
meaning that 1oz of pop corn costs 7 cents.
Similarly, the small popcorn has a unit cost of
meaning that 1oz of pop corn costs 8 cents.
So, the large popcorn has a lower unit rate.
Answer:
The sum of the first 5 terms is -244
Step-by-step explanation:
To calculate the sum of the geometric series, we need the first term, the common ratio and the number of terms we would like to sum.
The first term here is -4
The common ratio is T2/T1 or T3/T2 = 12/-4 = -3
number of terms n = 5
The formula to use is;
Sn = a(1-r^n)/(1-r)
Plugging these values, we have;
Sn = -4(1-(-3)^5)/(1-(-3))
Sn = -4(1+243)/4 = -1(244) = -244
