Answer: 
Step-by-step explanation:
We know that:
Where "d" is distance, "r" is rate and "t" is time.
Solved for the time "t":
The first step is to convert the distance from miles to feet.
Since 
, we get:
Knowing that:
We can substitute values into in order to find the time in seconds:
Since:
The time in minutes is:
First we need to find out what kind
of logarithm rule is given, the given is logarithm product rule which states
that a log of a product is equal to the sum of the log of the first base and
the log of the second base.
By:
= log (1.37 x 10⁹) =
log (1.37) + log (10⁹)
= log (1.37) + 9
= 9 + log (1.37)
In the meantime, 1.37 is between
1 and 10 its logarithm will be between 0 and 1. Thus, the value of log (1.37 x 10⁹)
falls between 9 and 10 because when you compose a scientific notation you will
always have a number among 1 and 10 by 10 to some power. That power tells you
the integer part of the logarithm.
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Answer:
Step-by-step explanation:
⟾Collect like terms
⟾Move the variable to the left
⟾Collect like terms again
⟾Divide both sides by -3
⟾ x = 45 ÷ 3
Hope it's helps you
The expressions is undefined in the set of the real numbers.
The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.
The total speed is (120 mi)/(3 h) = 40 mi/h.
The speed ratio is ...
... Bill : Joe = 3 : 1
so the speed ratio Bill : Total is ...
... 3 : (3+1) = 3:4.
Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.
