Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
Answer:
3/7
Step-by-step explanation:
The number of possible results are;
1, 2 , 3 , 4 , 5, 6 , 7 = 7
odd numbers here are;
1, 3 , 5 and 7
non-odd numbers are 2, 4 and 6
So the section not labeled with an odd number is 3
Hence the probability here is that;
3/7
24 ^ 2/3 = (8 ^ 2/3) * (3 ^ 2/3)
cancle out the 8^2/3 and you get (3 ^ 2/3) * (3 ^ 4/3) = 3^2 = 9
9
Inverse operations are operations that undo each other.
In this case, 10 + 2 = 12, and 12 - 2 = 10
A multiplication example could be 4 x 2 = 8, and 8 ÷ 2 = 4
Answer is inverse operations.
