Adrian can put a total of 1716 combinations in the player.
The formula to be used is as follows:
total combinations = n!/[r! *(n-r)!]
n = number of disks available = 13
r = number of disks that be held = 6
= 13! = (13• 12•11•10•9•8•7•6•5•4•3•2•1)/(6! <span>• 7!)
</span>=1716
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Answer:
first cross multiply
2x×4=3×8
8x=24
then, divide both sides by "8" so x could be alone
x=24/8
x=3
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Step-by-step explanation:
Answer:
It is not direct variation
Step-by-step explanation:
y/7 = 2/x
y = 7×2/x
y = 14/x
And
y = k/x
k = 14 which is the constant of proportionality
: y ∞ 1/x
This is inverse variation
Answer:
(0,0)
Step-by-step explanation:
Y = 2x is a <u>proportional</u> relationship because it follows the form y = kx, where k = constant of proportionality. Proportional relationships intersect the y-axis at (0,0), thus having a y-intercept of 0, but we usually don't write the 0.
Given the information above, y = 2x intersects the y-axis at (0,0), the origin.
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Answer:
t as a function of height h is t = √600 - h/16
The time to reach a height of 50 feet is 5.86 minutes
Step-by-step explanation:
Function for height is h(t) = 600 - 16t²
where t = time lapsed in seconds after an object is dropped from height of 600 feet
t as a function of height h
replacing the function with variable h
h = 600 - 16t²
Solving for t
Subtracting 600 from both side
h - 600 = -16t²
Divide through by -16
600 - h/ 16 = t²
Take square root of both sides
√600 - h/16 = t
Therefore, t = √600 - h/16
Time to reach height 50 feet
t = √600 - h/16
substituting h = 50 in the equation
t = √600 - 50/16
t = √550/16
t= 34.375
t = 5.86 minutes