P=2(L+W)
L=2/3x+10
W=1/3x+5
P=2(2/3x+10+1/3x+5)
P=2(2/3x+1/3x+10+5)
P=2(3/3x+15)
P=2(x+15)
P=2x+30
Answer: it is 3/10
Step-by-step explanation:
15+12+23=50
15/50=0.3
0.3=3/10
probobiboibility lol
Base case: if <em>n</em> = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.
Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have
(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1
… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>
… = 2<em>m</em> + 2<em>k</em>
… = 2 (<em>m</em> + <em>k</em>)
which is clearly even. QED
Answer:
33/8 or 4 1/8 simplified.
