Answer:
Given,
The total distance covered = 4 km,
Since, initially he would be in rest,
So, his starting point would be 0.
Now, his first break =
km,
Second break =
km,
Also, we can write,

Drawing number line:
Step 1: Draw a line.
Step 2: Make 12 marks in same distance.
Step 3: Starts from 0, then 1/3, 2/3, 3/3 and so on.
Thus, we can show Wayne's bike on a number line as below.
Step-by-step explanation:
x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰
x = 60⁰...
she sold a total of 97 shirts, so mulitiply 97 by the profit, which is 27. that gives you the answer of $1649.
Convert to base 10
2×3² + 0×3¹ + 1×3^0 = 18 + 0 +1 = 19 base 10
so convert 19 to base 8
19 base 10 = 23 base 8
D is your answer
Answer:
(a) 
(b) 
(c) 
(d) 
Step-by-step explanation:
We need to simplify the given expressions.
(a)
Consider the given expression is

Using the property of exponent, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)

(b)
Consider the given expression is

Using the property of exponent, we get
![[\because (a^m)^n=a^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%5Em%29%5En%3Da%5E%7Bmn%7D%5D)

(c)
Consider the given expression is

Using the property of exponent, we get
![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)

(d)
Consider the given expression is

Using the property of exponent, we get
![[\because \dfrac{a^m}{a^n}=a^{m-n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5D)
