General equation for height, h
h = ut + 0.5gt^2
at t=1s, h = 76 feet
76 = u*1 + 0.5*a*1^2
76 = u + 0.5a
at t=2s, h = 144 feet
144 = u*2 + 0.5*a*2^2
144 = 2u + 2a
72 = u + a
Subtract 2 equations
0.5a = -4
a = -8
u = 80
So the equation,
h(x) = 80t + 0.5*(-8) t^2
h(x) = 80t - 4t^2
Given :-
- First term of an AP is -17 .
- Common difference is 5 .
To Find :-
- The formula for the nth term .
Solution :-
We know that the nth term of an AP is given by ,
where ,
- a is the First term .
- n is the number of the term .
- d is the common difference .
- T_n is the nth term .
On substituting the respective values we have ,

Open the brackets ,
Simplify ,
<u>Hence</u><u> the</u><u> </u><u>nth </u><u>term</u><u> of</u><u> </u><u>the</u><u> </u><u>AP </u><u>is </u><u>given</u><u> </u><u>by </u><u>5</u><u>n</u><u> </u><u>-</u><u>2</u><u>2</u><u>.</u>
<em>I </em><em>hope</em><em> this</em><em> helps</em><em>.</em>
B for Brats and H for Hamburgers
3 total for each of 30 guests
B + H = 3x30 = 90
Then $1.25B + $0.75H <= to $120
Solving for B=90-H
1.25B + 0.75(90-B) <=120 yields cost of B is $52.50 so B = 42.
90-42 = 48 H
So you can buy 42 Brats and 48 Hamburgers
Power rule I believe.
w²w³ = w²⁺³ = w⁵