Answer:
Step-by-step explanation:
Before comparison can take place, these three measurements must be expressed in the same unit of measurement:
130 inches becomes 130/12 feet, or 10.83 ft;
4 yards becomes 4*3 feet, or 12 feet; qne
10 feet stays as is.
It becomes obvious that the greatest measurement is 12 feet, followed by 10.83 feet, followed by 10 feet.
Answer:
its 7/3 or you could put 2 1/3
Step-by-step explanation:
Answer:
2,000,000
Step-by-step explanation:
F(x) = 2x² + 7x - 5
g(x) = -8x² - 3x + 5
g(x) + f(x) = -8x² - 3x + 5 + 2x² + 7x - 5 = - 6x² + 4x
Answer: -6x² + 4x
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..
