Answer:
a. a(b)c
b. a(a(b)c)c
d. a(a(a(a)c)c)c
Step-by-step explanation:
We are given the following in the question:
![a,b,c \in W\\\text{If } x \in W \Rightarrow a(x)c \in W](https://tex.z-dn.net/?f=a%2Cb%2Cc%20%5Cin%20W%5C%5C%5Ctext%7BIf%20%7D%20x%20%5Cin%20W%20%5CRightarrow%20a%28x%29c%20%5Cin%20W)
a. a(b)c
It is given b belongs to W.
![b \in W\\\Rightarrow a(b)c \in W](https://tex.z-dn.net/?f=b%20%5Cin%20W%5C%5C%5CRightarrow%20a%28b%29c%20%5Cin%20W)
b. a(a(b)c)c
![a(b)c \in W\\\Rightarrow a(a(b)c)c \in W](https://tex.z-dn.net/?f=a%28b%29c%20%5Cin%20W%5C%5C%5CRightarrow%20a%28a%28b%29c%29c%20%5Cin%20W)
c. a(abc)c
a(abc)c does not belong to W because we cannot find x in W such that a(abc)c belongs to W.
d. a(a(a(a)c)c)c
![a \in W\\\Rightarrow a(a)c \in W\\\Rightarrow a(a(a)c)c \in W\\\Rightarrow a(a(a(a)c)c)c](https://tex.z-dn.net/?f=a%20%5Cin%20W%5C%5C%5CRightarrow%20a%28a%29c%20%5Cin%20W%5C%5C%5CRightarrow%20a%28a%28a%29c%29c%20%5Cin%20W%5C%5C%5CRightarrow%20a%28a%28a%28a%29c%29c%29c)
e. a(aacc)c
a(aacc)c does not belong to W because we cannot find x in W such that a(aacc)c belongs to W.
Answer:
$1632
Step-by-step explanation:
Given data
Principal= $1200
Rate= 12%
Time= 3 years
The simple interest expression is given as
A= P(1+rt)
substitute
A=1200(1+0.12*3)
A=1200(1+0.36)
A=1200*1.36
A=$1632
Hence the amount is $1632
Answer:
1 2/6 3 3/4
Step-by-step explanation:
![\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }](https://tex.z-dn.net/?f=%20%5Chuge%20%5Ctt%20%5Ccolor%7Bpink%7D%7BA%7D%5Ccolor%7Bblue%7D%7Bn%7D%5Ccolor%7Bred%7D%7Bs%7D%5Ccolor%7Bgreen%7D%7Bw%7D%5Ccolor%7Bgrey%7D%7Be%7D%5Ccolor%7Bpurple%7D%7Br%20%7D)
![\large\underline{ \boxed{ \sf{✰\:Important\: point's }}}](https://tex.z-dn.net/?f=%20%5Clarge%5Cunderline%7B%20%20%5Cboxed%7B%20%5Csf%7B%E2%9C%B0%5C%3AImportant%5C%3A%20point%27s%20%7D%7D%7D)
- ➣ Circle:- A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).
- ➣ Circumference:- The line that bounds a circle or other two-dimensional figure
![{ \rule{70mm}{2.9pt}}](https://tex.z-dn.net/?f=%7B%20%5Crule%7B70mm%7D%7B2.9pt%7D%7D)
★ also circumference of a circle is also known as it's perimeter
- ➣To find circumference of circle when use formula
![{ \boxed{✜\underline{ \boxed{ \sf{\: Circumference \: of \: circle= \: 2\pi \: r}}}✜}}](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%E2%9C%9C%5Cunderline%7B%20%20%5Cboxed%7B%20%5Csf%7B%5C%3A%20Circumference%20%5C%3A%20%20of%20%20%5C%3A%20circle%3D%20%5C%3A%202%5Cpi%20%5C%3A%20r%7D%7D%7D%E2%9C%9C%7D%7D)
- ➢ r = radius (25inch.)
- ➢ value of π is 3.14
![{ \rule{70mm}{2.9pt}}](https://tex.z-dn.net/?f=%7B%20%5Crule%7B70mm%7D%7B2.9pt%7D%7D)
![\large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}](https://tex.z-dn.net/?f=%20%5Clarge%5Cunderline%7B%20%20%5Cboxed%7B%20%5Csf%7B%E2%9C%B0%5C%3A%20Let%27s%5C%3Asolve%20%7D%7D%7D)
![\sf{➛ \: Circumference \: of \: circle = 2 \times 3.14 \times 25} \\ \sf{➛ \: Circumference \: of \: circle =2 \times 78.5} \\ \sf{➛ \: Circumference \: of \: circle =157inch}](https://tex.z-dn.net/?f=%5Csf%7B%E2%9E%9B%20%5C%3A%20Circumference%20%20%5C%3A%20of%20%20%5C%3A%20circle%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%2025%7D%20%5C%5C%20%5Csf%7B%E2%9E%9B%20%5C%3A%20Circumference%20%20%5C%3A%20of%20%20%5C%3A%20circle%20%3D2%20%5Ctimes%2078.5%7D%20%5C%5C%20%5Csf%7B%E2%9E%9B%20%5C%3A%20Circumference%20%20%5C%3A%20of%20%20%5C%3A%20circle%20%3D157inch%7D)
★ Hence circumference of circle=157inch
![\large\underline{ \boxed{ \sf{➪\:157inch. }}}](https://tex.z-dn.net/?f=%20%5Clarge%5Cunderline%7B%20%20%5Cboxed%7B%20%5Csf%7B%E2%9E%AA%5C%3A157inch.%20%7D%7D%7D)
![{ \rule{70mm}{2.9pt}}](https://tex.z-dn.net/?f=%7B%20%5Crule%7B70mm%7D%7B2.9pt%7D%7D)
Hope it helps !
<span>You can get those ordered pairs subtracting 9-0.5, then that result minus 0.5 because from the rate the candle reduces its height 0.5inches per each hour.Part B: Is this relation a function? Yes, because each value of x has a single result or output in “y” (image)Part C: Yes, only difference is the time, the candle reduces its height 0.45 inches per each hour, examples of ordered pairs: (0,9) (1,8.55) (2,8.1)</span>