Answer:
A primary motivation of many investigators in the field has been to determine how the culminating mental abilities of adulthood were reached ...
Step-by-step explanation:
The distance traveled in 1 roation is assumed to be the circumferece
c=2pir
in 13 rotations
13 times 2pir=26pir=distance traveled for 13 revolutions
r=13
d=26pi13
d=338pi
using 3.14 for pi
d=1061.32 inches
Not sure about the others but
b) 8,192
the pattern is multiplying by 8 each time for b
1 + 3 = 4;
9 x 4 = 36;
60 - 36 = 24;
2 x 24 = 48;
14 + 48 = 62;
-6 + 62 = 56.
Answer:
<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.
Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:
n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).
So, n can be written as 3 times another integer, thus n is divisible by 3.
<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.
Assume that n is divisible by 3. The above proof suggest that we write it as
n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).
As k, k+1, k+2 are three consecutive integers, we have completed our goal.
Step-by-step explanation: