The number of pieces per stack after 3 cuts represented by a power expression can be written as 
- The number of equal pieces per cut = 3
- The number of cuts made = 3
<u>Using a power </u><u>expression</u><u> </u><u>:</u>
- The number of of equal pieces per cut is raised to a power which represents the number of cuts made
- Thus we have
- After 1 cut ;
- After 2 cuts ;
- After 3 cuts ;
Therefore, the Number of pieces present in stack after 3 cuts is
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Answer:
7 cookies
Step-by-step explanation:
We have 3 brothers
First , Second, Third
Let the total number cookies be represented by A
1 cookie = 1
Working backwards, we start from the third brother
If we work backwards
It means he gave everything away
We start from the youngest
He was given 1/2 of what was left and 1/2 a cookie
This means,
1/2 + 1/2 = 1
The second brother
He got half of what is left and 1/2 a cookies
Half of what is left from brother
= What the youngest brother got + 1/2 + 1/2 a cookie
= 1 + 1/2 + 1/2
= 1.5 + 1/2
= 2 cookies
For the first brother
He got 1/2 of the cookies + 1/2 cookie
= 1.5 × 2 + 1/2 + 1/2 cookies
= 3 1/2 + 1/2
= 4 cookies
The first brother got 4 cookies
The second brother got 2 cookies
The third broth got 1 cookies
It looks to be 29, if the rule is to add 3z
The disk method will only involve a single integral. I've attached a sketch of the bounded region (in red) and one such disk made by revolving it around the y-axis.
Such a disk has radius x = 1/y and height/thickness ∆y, so that the volume of one such disk is
π (radius) (height) = π (1/y)² ∆y = π/y² ∆y
and the volume of a stack of n such disks is
where 
is a point sampled from the interval [1, 5].
As we refine the solid by adding increasingly more, increasingly thinner disks, so that ∆y converges to 0, the sum converges to a definite integral that gives the exact volume V,
Answer:
2z+6 or 2(z+3) are the equivalent expressions
Step-by-step explanation:
z+(z+6)
opening the brackets
z+z+6
=2z+6
or if we take 2 as common the answer is
=2(z+3)
i hope this will help you :)
