Answer:
First, make a list of the possible outcomes for each flip. Next, count the number of the possible outcomes for each flip. There are two outcomes for each flip of a coin: heads or tails.
Step-by-step explanation:
these are just a few
I believe it would be <span>0.01028806584</span><span />
Answer:
the prices were $0.05 and $1.05
Step-by-step explanation:
Let 'a' and 'b' represent the costs of the two sodas. The given relations are ...
a + b = 1.10 . . . . the total cost of the sodas was $1.10
a - b = 1.00 . . . . one soda costs $1.00 more than the other one
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Adding these two equations, we get ...
2a = 2.10
a = 1.05 . . . . . divide by 2
1.05 -b = 1.00 . . . . . substitute for a in the second equation
1.05 -1.00 = b = 0.05 . . . add b-1 to both sides
The prices of the two sodas were $0.05 and $1.05.
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<em>Additional comment</em>
This is a "sum and difference" problem, in which you are given the sum and the difference of two values. As we have seen here, <em>the larger value is half the sum of the sum and difference</em>: a = (1+1.10)/2 = 1.05. If we were to subtract one equation from the other, we would find <em>the smaller value is half the difference of the sum and difference</em>: b = (1.05 -1.00)/2 = 0.05.
This result is the general solution to sum and difference problems.
Yes it is
It means whatever the x value is the y value will equal 2.7 making it just a horizontal line
First you would simplify the left side to get,
ln( ( 3x+1 ) / ( 5+x ) ) = ln 2
Then raise both sides as the power of e, so it would basically cancel out the ln's.
3x+1 / 5+x = 2
3x+1 = 2( 5+x )
3x+1 = 10+2x
x = 9
