Is this really going to make a difference in your life!
Answer:
In 28 minutes the car will travel 18.67 miles
in 1 hour the car will travel 40 miles
Step-by-step explanation:
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Answer:
2.835
3.330
Step-by-step explanation:
Let the linear approximation be L(x) at a = 0. This is given by
is the derivative of 
. To find this, we use the form
If 
, then 
By doing this and applying chain rule for the power (which is a function of x), we have
Then
Also 
Hence 
For 
, 
and 
Using this in 
,
For 
, 
and 
Using this in ,
Answer:
9:10 P.M.
Step-by-step explanation:
The least common multiple (LCM) of 12 and 10 is 60. The lighthouses will blink together again 60 minutes later, at 9:10 P.M.
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<em>Comment on finding the LCM</em>
The LCM can be found several ways. One way is to factor out the greatest common factor (GCF) and write each number in terms of that:
12 = 2×6
10 = 2×5
Then the LCM is the product of the unique factors:
LCM(12, 10) = 2×6×5 = 60
This is equivalent to dividing the product of the two numbers by their GCF:
LCM(12, 10) = 12×10/GCF(12, 10) = 12×10/2 = 60
One can also write each number in terms of its prime factors, then form the product of each of those to its highest power:
12 = 2²×3
10 = 2×5
LCM(12, 10) = 2²×3×5 = 60
