Answer:
k(x) = 6x
Step-by-step explanation:
A function shows the relationship between two or more variables. It shows the relationship between an independent and a dependent variable.
Given that the amount of water being poured into the tube is given by f(x) = 12x, where x is in minutes and the amount of water draining out of the tub is given by the function g( x )=6x. The amount of water remaining in the tube after x minutes is gotten by finding the difference between the amount of water entering the tube and the amount leaving the tube after x minutes. If k is the function representing the amount of water in the tube after x minutes, it is given by:
k(x) = f(x) - g(x)
k(x) = 12x - 6x
k(x) = 6x
Answer: 34
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Work Shown:
S = sum of the first 8 numbers
S/8 = 40 is the mean of those first 8 numbers
S = 8*40
S = 320 so the first 8 numbers add to this value
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R = sum of the 12 remaining values
R/12 = 30
R = 12*30
R = 360 is what the other 12 values add to
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R+S = 360+320 = 680 is what all twenty values add to. Divide this by 20 to get the overall average
(R+S)/20 = 680/20 = 34
Answer:
y = -2x + 7
Step-by-step explanation:
tbh too lazy to explain
Answer:
Step-by-step explanation:
0.0000015
Answer:
Step-by-step explanation:
Triangle IJK is a right angle triangle.
From the given right angle triangle
JK represents the hypotenuse of the right angle triangle.
With ∠K as the reference angle,
IK represents the adjacent side of the right angle triangle.
IJ represents the opposite side of the right angle triangle.
To determine Cos K, we would apply trigonometric ratio
Cos θ = adjacent side/hypotenuse. Therefore,
Cos K = 36/85
Cos K = 0.4235
Rounding up to the nearest hundredth,
Cos K = 0.42
