They are periodic functions with a period of 2π. The domain of each function is (−∞,∞) and the range is [−1,1]
The quantity of water in the tank after 9 days is 19 liters.
<h3>How much water is in the tank after 9 days?</h3>
The exponential equation that can be used to determine the quantity of water in the tank after 9 days is : 9728 x (0.5)^t
Where t is equivalent to the number of days
9728 x (0.5)^9 = 19 liters
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Y - 3 = X + 2 ...............….... (1)
2X - 1 = Y ........................... (2)
From (2),
2X - 1 = Y
Y = 2X - 1
Sub (2) into (1),
(2X-1) - 3 = X + 2
2X - 1 - 3 = X + 2
2X - X = 2 + 1 + 3
X = 6
Sub x=6 into (1),
Y = 2(6) - 1
Y = 12 - 1
Y = 11
Amy = x
Betty = y
Carl = z
x + y = 29
x + z = 27
y + z = 22
y = 29 - x
z = 27 - x
29 - x + 27 - x = 22
-2x + 56 = 22
-2x = - 34
x = 17
y = 12
z = 10
Oldest child is Amy (17) and youngest child is Carl (10)
17 - 10 = 7
The difference between oldest child and youngest child is 7 years.
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.
In radians this are
To find the complement of 3π/4, subtract it by π/2
To find the supplement of 3π/4, subtract it by π.
