3102 base4 = 3x4^3+ 1x4^2 + 2x1 = 3x64 + 1x16 + 2 = 210 base10
The powers of 2 are 2, 4, 8, 16, 32, 64, 128, 256
210 = 128 + 64 + 16 + 2 = 2^7 + 2^6 + 2^4 + 2^1 = 11010010 base2
A faster method is to each digit in base 4 to two digits in base 2
3 base4 = 11 base2
1 base4 = 01 base2
0 base4 = 00 base2
2 base4 = 10 base2
So 3102 base4 = 11010010 base2
If you wanted to convert base 4 to (say) base 5 you would need the first method and convert to base 10 first
Answer:
9h + 40
Step-by-step explanation:
You use 9h, because you don't know how many hours Jill worked, she already had 40$ so 40 is the constant.
Answer:
21, 24, 29
5
Step-by-step explanation:
The first term is when n = 1.
(1)² + 20 = 21
The second term is when n = 2.
(2)² + 20 = 24
The third term is when n = 3.
(3)² + 20 = 29
To find how many terms are less than 50, set n² + 20 equal to 50 and solve for n:
n² + 20 = 50
n² = 30
n ≈ 5.477
Rounding down, n = 5 is the last term that is less than 50.
Therefore, there are 5 terms in the sequence that are less than 50.
"coplanar"
Coplanar means they lie in the same plane.
