Answer:
sum of products expression = x₁x₂x₃' + x₁x₂'x₄ + x₁x₂x₄
Step-by-step explanation:
Given function ( f ) = x₁x₂'x₃' + x₁x₂x₄ + x₁x₂'x₃x₄'
using algebraic manipulation
f = x₁ [ x₂'x₃' + x₂x₄ + x₂'x₃x₄' ]
= x₁ [ x₂'( x₃' + x₃x₄') + x₂x₄ ]
next apply Boolean rules
a + bc = ( a + b )(a + c )
a' + a =1
hence
minimum sum-of-products expression = x₁x₂x₃' + x₁x₂'x₄ + x₁x₂x₄
We presume the temperature is decreasing at midnight, so reaches a low at 6 a.m.. The amplitude of the variation is (87-63)/2 = 12 degrees. We want the period to be 24 hours, so the argument of the sine function will be 2π(t/24) = πt/12. Then we can write
... d = 75-12sin(π·t/12)
Answer:
11.176 meters/second
Step-by-step explanation:
1 mile = 1609.34 meters
25 miles = 40233.6 meters
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 3600 seconds
40233.6 / 3600,
11.176 meters/second
I would say the 3rd one but I don’t know.
The only two things that matter here are the number of grandchildren who need new coats, and the number of coats he buys for those grandchildren.
He will be buying new winter coats. How does he know how many to buy? He will buy the number of coats needed for the grandchildren who outgrew their winter coats. The number of winter coats he buys is a function of the number of grandchildren who need new coats.
The number of winter coats he buys <em>depends</em> on the number of grandchildren who outgrew their coats. That means that the number of grandchildren who outgrew their coats is the independent variable. The dependent variable is the number of coats he buys because it depends on the number of grandchildren who outgrew their winter coats.
Answer: o is the independent variable and n is the dependent variable
