Answer:

The number of Bactria after 5.8 hours is 12242.
Step-by-step explanation:
The number of bacteria in a refrigerated food product is given by

where, T is the temperature of the food.
When the food is removed from the refrigerator, then the temperature is given by

We need to find the composite function N(T(t)).




where N(T(t)) is the number of bacteria after t hours.
Substitute t=5.8 in the above function.




Therefore, the number of Bactria after 5.8 hours is 12242.
 
        
             
        
        
        
Answer:
1.6m
Step-by-step explanation:
The length of the blade is 3.2m
The angle which the blade makes is 30°
Assuming the path of the blade and the length it covers is a right-angled triangle,
The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle. 
See attached document for better illustration. 
Using SOHCAHTOA, 
Sinθ = opposite / hypothenus
opposite = x
hypothenus = 3.2
θ = 30°
Sin30 = x / 3.2
X = 3.2sin30
X = 3.2 × 0.5
X = 1.6m
The path which the snow plough clears is 1.6m
 
        
             
        
        
        
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Answer:
8 $10 notes
Step-by-step explanation:
I started by working it backwards. $93-$3 equals $90. So we have three of our 13 notes. We need ten more. Well the most $10 notes we can have is 8. if we had 8 $10 notes that would give us $80. $90-$80=10. We can take ten and divide it by five so we have 2 $5 notes. 
So in total he would have 8 $10 notes, 2 $5 notes, and $3 one dollar notes which adds up to 13 notes