Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of  
 
Step-by-step explanation:
A temperature falls from 0 to   in
     in     
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is   
  
The change in temperature is 


Thus; 
-12.25 ° = 3.5 hours
To find the change in x°   per hour; we have;
x°            = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:

x° =  - 3.5
x° = 
Thus per hour; the temperature falls at the rate of  
 
 
        
             
        
        
        
Answer:
The difference is 4 degrees 
Step-by-step explanation:
If its difficult for you to subtract negatives just switch them to a positive 1 and 5 now subtract 1 from 5=4  and because the measure being used is degrees the final answer would be 4 degrees.
 
        
             
        
        
        
The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a):  x < 1,
      Then in decreasing size, the lengths are 1, x, and x².
      We require that x² + x ≥ 1
      Solve x² + x - 1 = 
      x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
      Reject the negative length.
     Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
   This creates an equilateral triangle with equal sides
    The sides are 1, 1 and 1.
Case (c): x>1
  In increasing order, the lengths are 1, x, and x².
  We require that x + 1 ≥ x²
  Solve x² - x - 1 = 0
  x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
  Reject the negative answr.
 The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
        
             
        
        
        
Answer:7=0.5 |x-4| -3
+3                +3
10=0.5 |x-4|
10/0.5=0.5/0.5 |x-4|
20=|x-4|
            ^
-20=x-4   20=x-4
 +4    +4    +4    +4
-16=x       24=x
The answers are -16=x and 24=x
Hope this helps, an if it pleases you put as the brainliest answer
 
        
                    
             
        
        
        
Answer:
2*2*3*3*5
Step-by-step explanation:
180 = 18*10
18 and 10 are both composite
        = 6*3    * 5*2
3,5,2 are prime but 6 is composite
      = 3*2  * 3 * 5 * 2
      All the factors are prime
Listing in order
2*2*3*3*5