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
2j+6a = 24
5j+3a =21
multiply the 2nd equation by -2
-10j -6a = -42
add the 1st and the modified 2nd together
2j+6a = 24
-10j -6a = -42
---------------------
-8j = -18
divide by -8
j = 2.25
substitute into
2j+6a = 24
2(2.25) +6a =24
4.50 +6a =24
subtract 4.5 from each side
6a = 19.50
divide by 6
a = 3.25
Answer:
jelly beans are 2.25 per pound
almonds are 3.25 per pound
If ={(1,2),(-3,2),(2,5)} and g={(2,4),(1,5),(3,2)} find f+g and f-g
Anna007 [38]
Answer:
Step-by-step explanation:
Hf
A = 1/2[(7)(19) + (12)(19)]
A = 1/2[133 + 228]
A = 361/2
A = 180.5
answer
D. 180.5 square inches
Answer:
.1123 This is my guess, I'm not 100 percent sure though
Step-by-step explanation:
Add them all together, and then put 11 over it
11/98
Divide and this is .1122448979591837
If you round it ends up being
.1123
