This is asking how many ways can we choose 13 songs from a set of 25.
The formula is:
n! / r! * (n -r)! =
25! / 13! * 12! which equals
25 *24 *23 *22 *21 *20 *19 *18 *17 *16 *15 *14 *13! divided by
13! * 12! which equals
25 *24 *23 *22 *21 *20 *19 *18 *17 *16 *15 *14 divided by
12* 11* 10* 9* 8* 7* 6* 5* 4* 3* 2*
which equals
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2,490,952,020,480,000
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divided by
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479,001,600
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and that equals
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5,200,300
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combinations
Here's a combination calculator to check your work:
http://www.1728.org/combinat.htm
F(x)= 0.02x^2 + 0.08x + 30.6
so for f(0) all that means is where you see x plug 0 for x..
f(0)= 0.02(0)^2+ 0.08(0) + 30.6
f(0)= 30.6
f(4)= 0.02(4)^2 + 0.08(4) + 30.6
f(10)= 0.02(10)^2 + 0.08(10) + 30.6
attached are calculated answers
Answer:
Step-by-step explanation:
272.155 kg
Height of the kite is = 36 inches.
Width of the kite is = 30 inches
One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .
Now we will use the formula
to find the area of each triangle. Then we will add both the areas to find the area of the kite.
Area of 1 triangle =
= 270 square inches
Area of the 2nd triangle is also = 270 square inches
Hence, area of the kite = 270+270 = 540 square inches
Total money before purchasing = $30
Cost of each song = $1.20
Solution:
According to the table,
No. of songs Amount
2 27.60
3 26.40
4 25.20
Difference between amount she have after bought 3 songs to 2 songs:
27.60 – 26.40 = 1.20
Difference between amount she have after bought 4 songs to 3 songs:
26.40 – 25.20 = 1.20
So, the cost of each song = $1.20
Amount of money she had after purchasing one song = $27.60 + $1.20
= $28.80
Tasha initially had before purchasing songs = $28.80 + $1.20
= $30
Hence Tasha initially had $30 before purchasing songs and the cost of each song was $1.20.