50 + 6.25x < = 100
6.25x < = 100 - 50
6.25x < = 50
x < = 50 / 6.25
x < = 8....answer is A
There are 720 ways through which 3 numbers can be selected from 10 numbers to open a keypad lock.
Given that there are 10 numbers are 3 numbers are required to open a keypad lock.
Permutations are the number of ways in which objects can be selected without replacements to form subsets.
It is expressed as n=n!/(n-r)!.
Factorial of a number is the product of consecutive numbers less than the number.
Total numbers available=10
Numbers to be selected=3
Number of ways can be found by using permutations.
Number of ways =10
=10!/(10-3)!
=10!/7!
=10*9*8*7!/7!
=10*9*8
=720 ways.
Hence there are 720 ways through which 3 numbers can be selected from 10 numbers.
Learn more about permutations at brainly.com/question/1216161
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Answer:
Difference in volume between the two vinyl records = 3.872 in³
Step-by-step explanation:
Complete Question
2columbia records unveiled the lp (a vinyl record) in the waldorf astoria on june 18, 1948, in two formats: 10 inches in diameter, matching that of 78 rpm singles, and 12 inches in diameter. if the thickness of one vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and 12 inch records.
Each of the vinyl records will be modelled as a cylinder
Volume of a cylinder = πr²h
For the 12 inches diameter records.
r = (12/2) = 6 inches
h = thickness = 0.112 inches
Volume = π × (6²) × 0.112 = 12.672 in³
For the 10 inches diameter records
r = (10/2) = 5 inches
h = thickness = 0.112 inches
Volume = π × (5²) × 0.112 = 8.8 in³
Difference in volume between the two vinyl records = 12.672 - 8.8 = 3.872 in³
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If the radius is tripped, the volume will increase by 3^3 = 27 times.
Answer: 27 times
Answer:
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