Answer:
x¹= 5
x²= -(3/4)
Step-by-step explanation:
x¹= 5
x²= -(3/4)
208 divide by 8
The right one on the bottom
Answer:
- high tide occurs at 12 noon and 12 midnight
- Low tide occurs at 6 a.m and 6 p.m
- maximum depth value = 20 ft
- Minimum depth value = 15 ft
Step-by-step explanation:
The depth is modelled as;
y = 20 + 5 cos (πt/6)
We are told that t = 0 represents 12:00 midnight.
This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.
Max depth value is;
y = 20 + 5(0)
y = 20 ft
Minimum depth value will be the low tide and it will be when the cos function is equal to -1.
Thus;
y = 20 + 5(-1)
y = 15 ft
Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;
12 noon
Also, let's check for low tide.
Let's try t = 6 which means 6 a.m
Thus;
y = 20 + 5 cos (π(6)/6)
y = 20 + 5 cos π
Cos π has a value of -1
Thus;
y = 20 + 5(-1)
y = 20 - 5
y = 15 ft
Thus;
Low tide occurs at 6 a.m and 6 p.m
Answer:
1/5 < 1/3 < 4/6
Step-by-step explanation:
Using the given inputs:
4/6 1/3 1/5
The least common denominator (LCD) is: 30.
Rewriting as equivalent fractions with the LCD:
4/6 1/3 1/5
20/30 10/30 6/30
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
1/5 1/3 4/6
6/30 < 10/30 < 20/30
Therefore, the sorted inputs in order from least to greatest is:
1/5 < 1/3 < 4/6