Given: h(t) = 25 - a·t²
h(0.5) = 21
Find: t such that h(t) = 0
Solution: h(0.5) = 25 - a·0.5² = 21
25 - 21 = a/4
4·4 = a = 16
Then
h(t) = 25 - 16t²
We want h(t) = 0, so
0 = 25 - 16t²
16t² = 25
t² = 25/16 = (5/4)²
t = 5/4 = 1.25
It takes 1.25 seconds for the entire 25 ft drop.
Answer:
The slope is -8
Step-by-step explanation:
To find the slope, we can do a very easy equation. We can do the formula
y1 - y2 / x1 - x2
We fit in all of the respective numbers to get the equation as this.
-51-(-75) / 7-10
Then, we get
24/ -3
Simple division gives us -8.
Answer:
8 inches cubed
Step-by-step explanation:
We get the formula in the task description:
V = s^3
The next sentence tells us s = 2in, so:
V = (2in)^3 = 8in^3
Answer:
C.
Step-by-step explanation:
Step-by-step explanation:
Initially, there's only 1 letter.
Tania sends the letter to 4 friends.
Each friend sends a letter to 4 more friends (4 × 4 = 16).
Each of those friends sends to 4 more friends (16 × 4 = 64).
The pattern is 1, 4, 16, 64, etc.
This is a geometric sequence. The first term is 1 and each term is 4 times the previous term.
a₁ = 1
aₙ = 4 aₙ₋₁
The explicit formula is:
aₙ = 1 (4)ⁿ⁻¹
