Answer:
x≥
Step-by-step explanation:
given 1.5x+3.75≥5.5
→ 1.5x≥5.5-3.75
→ 1.5x≥1.75
→ x≥
→ x≥
Answer:
The answer is either 1, 3, or 5
Step-by-step explanation:
There are 6 sides on a singular die and the die is rolled twice the first time it rolls onto 4 and the second onto an odd number. The only odd numbers on a 6 sided die are 1, 3, and 5.
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
Answer:
D
Step-by-step explanation:
absolute value of -25 is 25
and 25>24
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
