Answer:

Step-by-step explanation:

If the given number is in base 2, that means
11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1
8 = 2³, and so we have
11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1
11100111₂ = 3 • 8² + 4 • 8 + 7
11100111₂ = 347₈
Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:
11 100 111
11₂ = 2 + 1 = 3
100₂ = 2² = 4
111₂ = 2² + 2 + 1 = 7
so again we get 347₈.
Answer: 16517 dollars
Step-by-step explanation:
Given that x is the number of years after 2000.
In 2005, the number of years x = 4
Because the equation was modelled for 4 year college courses
The best estimate for the average cost of tuition in 2005 will be
ŷ = 937.98(4) + 12,764.90
Y = 3751.92 + 12764.9
Y = 16516.82 dollars
Y = 16517 dollars
X=46.2
_____________________________
99.2 + 62 = 161.2
180 -161.2 = 19.8
19.8 + 112 = 131.8
180 - 131.8 = 48.2
48.2 - 2 = 46.2
The number 144 is rational because it can be expressed by 144/1