Answer:
2045
Step-by-step explanation:
-34×12(-5)+5
-405(-5)+5
2040+5
2045 is the answer
Answer:
366
Step-by-step explanation:
Since there are 365 possible slots for people to have their birthday on, the worst case happens when all 365 people have different birthday. This means the 366th person would have their birthday falls on any of other’s birthday. Hence, kk must be at least 366.
Answer:
The first term is -6 and common difference is 3
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
Tn = a + (n-1)d
T3 = a+2d
T4 = a + 3d
If the third term of an arithmetic sequence less than the fourth term by three
T3 = T4 - 3
a+2d = a+3d - 3
2d - 3d = -3
-d = -3
d = 3
Similarly;
T7 = a+6d
T5 = a+4d
If the seventh term is two times the fifth term, the;
T7 = 2T5
a+6d = 2(a+4d)
a+6d = 2a+8d
Since d = 3
a + 6(3) = 2a + 8(3)
a+18 = 2a + 24
a-2a = 24 - 18
-a = 6
a = -6
Hence the first term is -6 and common difference is 3
Answer:
147.4°
Step-by-step explanation:
Supplementary angles sum to 180° , then
supplementary angle = 180° - 32.6° = 147.4°