The best estimate for the weight of a stapler is 4 ounces.
4 ounces: This is a common unit for measuring small weights.
Staplers are typically lightweight office supplies, and 4 ounces is a reasonable weight for a typical stapler.
4 pounds: Pounds are a much larger unit of weight, and 4 pounds would be much too heavy for a standard stapler.
A typical stapler does not weigh anywhere near 4 pounds.
4 inches: Inches are used to measure length or distance, not weight.
So, 4 inches is not an appropriate estimate for the weight of a stapler.
4 feet: Feet are also used to measure length or height, not weight.
A weight cannot be measured in feet, and 4 feet would be an entirely incorrect unit for a stapler's weight.
Therefore, the best estimate for the weight of a stapler is 4 ounces because it is a common and reasonable unit of weight for this type of office tool.
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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..
Or
2. 11m