Find the smallest number that is divisible by 2, 3, 4, 5, 6 and add 1.
We need the least common multiple of 2, 3, 4, 5, 6.
2 = 2
3 = 3
4 = 2^2
5 = 5
6 = 2 * 3
LCM = product of common and not common prime factors with larger exponent.
LCM = 2^2 * 3 * 5 = 4 * 3 * 5 = 60
To always have a remainder of 1, you need of add 1 to 60.
The number is 61.
Check:
61/2 = 30 remainder 1
61/3 = 20 remainder 1
61/4 = 15 remainder 1
61/5 = 12 remainder 1
61/6 = 10 remainder 1
Answer:
12a^3+6a^2+6a+36
Step-by-step explanation:
Sana makatulong!
Answer is (4,3)
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Add up the x coordinates to get 9+(-1) = 8. Divide this over two and we end up with 8/2 = 4
Repeat for the y coordinates: 9+(-3) = 6, which cuts in half to get 6/2 = 3
The midpoint is at (4,3)
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The midpoint formula is
where (x1,y1) and (x2,y2) are the endpoints.
Answer:
Shelter A
Step-by-step explanation:
The reason it's shelter a is because the dog that weighs the most in shelter a is 30 lbs and the dog that weighs the most in shelter b is only 28 lbs. So shelter a is your answer.
The median is the middle number in a set of ordered numbers. Ordered from least to greatest, the middle numbers are 23.32 and 23.41. Because there are two, we add 23.32 and 23.41 and divide it by two. 23. 32 + 23.41 = 46.73 / 2 = 23.365. So approximately 23.37. Hope this helps!