Taryn collected data for the rain collected over a number of days in various cities. Which of the data sets represents a scatter
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Let 
be the amount of time it takes to perform an arm routine and 
be the amount of time it takes to perform an abdominal routine. We see:
Subtracting the second equation from the first gives
. Substituting gives 
, so 
and 
.
Thus, an arm routine takes ten minutes and an abdominal routine takes thirty minutes.
Subtracting the second equation from the first gives
Thus, an arm routine takes ten minutes and an abdominal routine takes thirty minutes.
Answer:
You can prove this statement as follows:
Step-by-step explanation:
An odd integer is a number of the form where
. Consider the following cases.
Case 1. If is even we have:
.
If we denote by we have that
.
Case 2. if is odd we have:
.
If we denote by we have that
This result says that the remainder when we divide the square of any odd integer by 8 is 1.