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..
The correct answer is:
30 + 6 + 0.1 + 0.04.
Explanation:
We write numbers in expanded form using place value.
3 is in the tens place; this makes its value 30.
6 is in the ones place; this makes its value 6.
1 is in the tenths place; this makes its value 0.1.
4 is in the hundredths place; this makes its value 0.04.
Together we find the sum:
30 + 6 + 0.1 + 0.04.
Answer:
D. Triangle is correct
Step-by-step explanation:
We are given that,
A polygon is rotated to form the blue block patterns,
As, from the figure, we see that,
The polygon being rotated has three sides.
So, the polygon is a triangle.
Thus, a triangle is rotated to form the blue block pattern.
Hence, option D is correct.
Answer:
The answer is D) Triangle
My phone almost no battery hope this helps to start you off .
per pound of squid
Answer:
2 For each pound
Step-by-step explanation:
It is two per pound because 15-12=3 meaning 6 pounds is equal to $12 12 divided by 2 is 6 so 1 pound is $2
Answer:
2
Step-by-step explanation:
15-3=12
12/6=2
b)about how much orange juice and pop do you need to serve 15 people? 20 people?
plz say how you answered this
O : P => 2 : 5
(a) 1 liter of pop to serve 7 people
=> 5 units = 1
1 unit = 1 / 5
Orange juice => 2 units
Hence, Orange juice needed is 2 * 1 / 5 = 0.4 liters
(b) If 1 liter of pop is needed to serve 7 people, then we will need (1 / 7) * 15 for 15 people
i.e. 2.14 liters
As the ratio of O : P = 2 : 5,
5 units = 2.14
1 units = 2.14 / 5
For Orange juice, we will need 2 * 2.14 / 5 = 0.856 liters for 15 people