Step-by-step explanation:
The number of subsets=2ⁿ where n=4 members
2ⁿ=2⁴=16
Number of proper subsets=2ⁿ-1
16-1=15
Answer:
23. 0.4583 seconds
24. 0.0107 seconds
Step-by-step explanation:
The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.
90 mi/h = (90·5280 ft)/(3600 s) = 132 ft/s = (132·12 in)/s = 1584 in/s
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23. The time it takes for the ball to travel 60.5 ft is ...
time = distance/speed
time = (60.5 ft)/(132 ft/s) = 0.4583 s
It takes 458.3 milliseconds to reach home plate.
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24. time = distance/speed
time = (17 in)/(1584 in/s) = 0.0107 s
The ball is in the strike zone for 10.7 milliseconds.
Answer:
6394
Step-by-step explanation:
WXYZ
X < Z
Z = ⅔W
W = ⅔Y
Y = 3X
W = ⅔(3X) = 2X
Z = ⅔(2X) = (4/3)X
X has to be a multiple of 3
If X = 3,
Y = 9
Z = 4
W = 6
WXYZ
6394
steps
(x) = 5x^2-3x+7
refine
x=5x^2-3x+7
Switch sides
5x^2-3x+7-x=x-x
Subtract x from both sides
5x^2-4x+7=0
Solve with the quadratic formula
Answer:
86.13 I think? I scrath it I think its correct