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
D:) infinitely many solutions
Answer:
Step-by-step explanation:
-15 3/5 = -18 1/5 - (-2 3/5)
-52.89 - (-25.63) = -27.26
49.40 -(-85.63) = 135.05
-96 2/9 - 24 4/9 = -120 2/3
Hope this helps
Answer:
13 units
Step-by-step explanation:
(x₁,y₁) = (-5 , 3) & (x₂ , y₂) = (7 ,8)
![= \sqrt{(7-[-5])^{2}+(8-3)^{2}} \\\\= \sqrt{(7+5)^{2}+(8-3)^{2}} \\\\= \sqrt{(12)^{2}+(5)^{2}}\\\\=\sqrt{144+25}\\\\=\sqrt{169}\\\\= 13](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%287-%5B-5%5D%29%5E%7B2%7D%2B%288-3%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%3D%20%5Csqrt%7B%287%2B5%29%5E%7B2%7D%2B%288-3%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%3D%20%20%5Csqrt%7B%2812%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B144%2B25%7D%5C%5C%5C%5C%3D%5Csqrt%7B169%7D%5C%5C%5C%5C%3D%2013)
Answer:
60 miles per hour
Step-by-step explanation:
240/4 = 60 miles per hour
