77-27= 50 so when you add both it add up to 77 ,
50 is the answer
Distributive, if you do 4 times x and 4 times 2 you get 4x+8
Answer:
21 students per teacher
10 students per tutor
10 tutors needed for 110 students
Step-by-step explanation:
84 ÷4=21
30÷3=10
110÷10=10
3ab...when a = 2 and b = 3
(3)(2)(3) = 6(3) = 18
Step-by-step explanation:
Explanation:
The trick is to know about the basic idea of sequences and series and also knowing how i cycles.
The powers of i will result in either: i, −1, −i, or 1.
We can regroup i+i2+i3+⋯+i258+i259 into these categories.
We know that i=i5=i9 and so on. The same goes for the other powers of i.
So:
i+i2+i3+⋯+i258+i259
=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)
We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.
=65(i)+65(i2)+65(i3)+64(i4)
From here on out, it's pretty simple. You just evaluate the expression:
=65(i)+65(−1)+65(−i)+64(1)
=65i−65−65i+64
=−65+64
=−1
So,
i+i2+i3+⋯+i258+i259=-1
