Answer:-5.8
Explanation:4.5-8.3=-3.8 -3.8-2=5.8
D) you add x^2 and x^2 and you’ll get 2x^2+1
To solve for the time it reach the maximum height, you must solve the first derivative of the function and equate it to zero
<span>h(t) = −4.9t^2 + 14.7t + 1</span>
dh/ dt = -9.8t + 14.7
then equate to zero
-9.8t + 14.7 = 0
solve for t
t = 1.5 s
then the maximum height is when t = 1.5
<span>h(t) = −4.9t^2 + 14.7t + 1
h(1.5) = </span><span>−4.9(1.5)^2 + 14.7(1.5) + 1
h(1.5) = 12.025 m
</span>
I'll do problem 13 to get you started.
The expression
is the same as 
Then we can do a bit of algebra like so to change that n into n-1

This is so we can get the expression in a(r)^(n-1) form
- a = 8/7 is the first term of the geometric sequence
- r = 2/7 is the common ratio
Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).
We'll plug those a and r values into the infinite geometric sum formula below
S = a/(1-r)
S = (8/7)/(1 - 2/7)
S = (8/7)/(5/7)
S = (8/7)*(7/5)
S = 8/5
S = 1.6
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Answer in fraction form = 8/5
Answer in decimal form = 1.6
To round you must see if the fraction is greater or less than a half to see if you round up or down. 1/8 is less than 1/2, so you must round down. So the answer is 5.