Answer: 6
Step-byStep:
[(18- 8) x 3) + (4+3) x 6] divided by 12
step 1- start with the stuff in the parentheses
[(10 x 3) + (7 x 6)] divided by 12
step 2- simplify things in parentheses
[30 + 42] divided by 12
step 3- simplify even more
[72] divided by 12
step 4- remove brackets, and simply even further
72 divided by 12 = 6
Hope this helps
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:
4 (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is (9 x + 11).
Step-by-step explanation:
Here, given The perimeter of the square = (36 x+44)
Now,as we know :
PERIMETER OF SQUARE = 4 x ( SIDES)
Simplifying the perimeter expression.
Take 4 common out of the expression (36 x+44), we get:
(36 x+44) = 4 (9 x + 11)
⇒ Perimeter of the square = 4 x (9 x + 11)
⇒4 x ( SIDES) = 4 x (9 x + 11)
⇒ Each Side = (9 x + 11)
Hence, 4 x (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is (9 x + 11).
Answer:
The approximate volume is 
Step-by-step explanation:
we know that
The exact volume of the cylinder is
so
To find the approximate volume of the cylinder, substitute the term 
by the approximate value of 
and then multiply
so
Answer:
x = 22
Step-by-step explanation:
