ANSWER

EXPLANATION
The sum of the first
terms of a geometric sequence is given by;

Where
, is the number of terms and
is the first term.
When
, we have
, we get;





Answer:
Step-by-step explanation:Since we want to know how much time elapsed since the object was launched until it ht the ground. At the ground, the height is 0.
Therefore the equation h(t) = 80t – 16t2 becomes 0= 80t – 16t2
Solving the equation for t gives 80t =16t2 or 16t=80 or t=5sec
The object hits the ground 5 seconds after it is launched.
Answer:
C) -2 ≤ x ≤ 2
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values span from -2 to 2. Since they are both closed dots, we include them in the domain:
[-2, 2] or -2 ≤ x ≤ 2
126 divided by 7 equals 18
18 m
We already know from the given data that 6 pencils can be bought for 59 cents. We have to determine the number of pencils that can be bought for $2.95.
So
Price of 6 pencils = 59 cents.
Price of 1 pencil = (59/6) cents
= 9.83 cents
Now total amount in hand for buying pencils = $2.95
= 295 cents
Then the number of pencils that can be bought for 295 cents = (295/9.83)
= 30.01
So the maximum number of pencils that can be bought for $2.95 is 30 pencils.