Consider inequality 
This inequality is equivalent to inequality 
This means that 
The greatest integer number n, such that 
when dividing by 7 gives the remainder 4 is 39. Then subtract 7, you get 32, then 25 and so on.
When n=-39, -32, -25, -18, -11, -4, 4, 11, 18, 25, 32, 39 then dividing by 7 the remainder is 4.
Answer: 12 integers.
Answer:U.S Declaration of Independence
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
0.6 of 40 is 24, she bought 24 green balloons.
24 × 1.5 = 36, she bought 36 yellow balloons.
So we have
40 red
24 green
36 yellow
Then from the rest of the information, 2 red, 2 green, and 1 yellow balloon all popped.
We now have
38 red
22 green
35 yellow
for a total of:
95 balloons out of 100 original balloons, 95%
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
Answer:
The mean growth annual rate over this period is 0.0036
Step-by-step explanation:
we know that
The mean growth annual rate is calculated as the sum of each year's growth rate divided by the number of years
Convert to decimal form
therefore
The mean growth annual rate over this period is 0.0036
