Answer:
0.01875 miles per hour
Step-by-step explanation:
0.75 divided 40
0.01875
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
It can be deduced that the price of the trick cameras will be $5 and the price of the snakes will be $6.25.
Based on the information given, the equation to solve the question will be:
3x + 4y = 40 ...... i
7x + 8y = 85 ...... ii
Multiply equation i by 7
Multiply equation ii by 3
21x + 28y = 280
21x + 24y = 255
Subtract the equations
4y = 25
y = 25/4 = 6.25
Since 3x + 4y = 40
3x + 4(6.25) = 40
3x + 25 = 40
3x = 40 - 25.
3x = 15
x = 15/3 = 5
Therefore, the price of the trick cameras will be $5 and the price of the snakes will be $6.25.
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