Recall that the area under a curve and above the x axis can be computed by the definite integral. If we have two curves
<span> y = f(x) and y = g(x)</span>
such that
<span> f(x) > g(x)
</span>
then the area between them bounded by the horizontal lines x = a and x = b is
To remember this formula we write
Acceleration: 
Step-by-step explanation:
For an object in uniformly accelerated motion, we can use the so-called SUVAT equations.
One of them is:

where
s is the displacement
v is the final velocity
t is the time
a is the acceleration
Here we want to re-arrange the equation to find the acceleration. We start by adding
on both sides of the equation:

Now we change sign on both sides:

And finally we multiply by 2 and divide by
on both sides, so we get:

Learn more about accelerated motion:
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12 - 15 ÷ 3 + 9
Following BODMAS = Bracket Order Division Multiplication Addition Subtraction
Division comes before Addition and Subtraction, so we carry out Division first.
12 - 15 ÷ 3 + 9, 15 ÷ 3 = 5
12 - 5 + 9
7 + 9
16
I hope you find this explanation useful.
The total check is $30.
Alejandra's tip is 20% of 12 which is $2.40
Mia's tip is 15% of 18 which is $1.80
1.8 + 2.4 = $4.20
4.20/30 = 0.14
0.14 x 100 = 14%
r = 14
Answer:
Buy individual songs
Step-by-step explanation:
Considering that individual 6 songs each $0.99 will cost Martha a total of 6*$0.99=$5.94 and also individual 3 songs for $1.29 will mean he incurrs a sub-total cost of 3*1.29=$3.87
Total cost of buying 9 individual songs will be C=5.94+3.87=$9.81 which is less than the cost of the whole album. Therefore, it is recommended to buy individual songs instead of album for this case since the total cost of individual songs that the buyer is interested in is less than the total cost of an album