The function for the height is

f(0) = 5 cos(0) + 7 = 5 + 7 = 12 (verified)
The period is T = 12 hours.
After 4 hours (t = 4), the height is

A graph of f(t) confirms the answer.
Answer: 4.5 ft
Answer:
s ≤ -18
Step-by-step explanation:
Multiply both sides of the inequality by -3. Since the multiplier is negative, you need to reverse the comparison symbol.
(-3)(-s/3) ≤ (-3)(6)
s ≤ -18
_____
If you multiply by a positive number, you don't need to reverse the symbol. Hence multiplying by 3 gives ...
-s ≥ 18
You can now add s to both sides:
0 ≥ 18 + s
and subtract 18 from both sides:
-18 ≥ s
Of course, this is the same relationship as ...
s ≤ -18
In a pack of 52 cards, there are 3 square numbers - 1, 4, and 9.
1 × 1 = 1
2 × 2 = 4
3 × 3 = 9
Answer:
Step-by-step explanation:
{y2+8y−128=0x=34⋅(y+4) ... The two right triangle are similar, so: BDAB=DEAC. From this, I obtain: ... AC=3x AB=4x (3x)²+(4x)²=225 x=3 BD=8 AB/AC=BD/DE 12/9=8/DE DE=6.
FOIL stands for first, outer, inner, and last.
So, you multiply the first terms together, the outer terms together, the inner terms together, and then the last terms together.
(b+3)(b-9)
b^2-9b+3b-27 Then simplify
b^2-6b-27