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lawyer [7]
3 years ago
9

At a benefit concert, fourteen bands have volunteered to perform but there is only enough time for six of the bands to play. How

many lineups are possible?
Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0
There are 2,162,160 possible combination that could be made if there are 14 bands and only 6 slots available. This is computed using factorial. By using factorial we first need to identify the number of band and the number of slots available. It could be express as 14! - 8! or 14 x 13 x 12 x 11 x 10 x 9, which is equal to 2,162,160 combination.
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a 10 gram sample of a substance that's used to detect explosives has k-value of 0.1353, find the substance half life in days, Ro
IrinaK [193]
We find the value of N₀ since we are provided with initial conditions.
The condition is that, at time t = 0, the amount of substance contains originally 10 grams.
We substitute:
10 = N₀ (e^(-0.1356)*0)
10 = N₀ (e^0)
N₀ = 10

When the substance is in half-life (meaning, the half of the original amount), it contains 5 grams. We solve t in this case.
5 = 10 e^(-0.1356*t)
0.5 = e^(-0.1356*t)
Multiply natural logarithms on both sides to bring down t.
ln(0.5) = -0.1356*t
Hence,
t = -(ln(0.5))/0.1356
t ≈ 5.11 days (ANSWER)
4 0
3 years ago
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Find the surface area of the pyramid.<br><br>64in<br>56in<br>88in<br>118in​
tankabanditka [31]

Answer:

add all together

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP 12 POINTS
stealth61 [152]
Basically subtract 59 from 709 which is 650 , halve 650 which is 325 and then add 59 to the other 325 that u have to add to the first 325 to make 650 so
709-59= 650
650\2= 325
325 + 59= 384
So 384 cheeseburgers were sold and 325 hamburgers
384+325= 709
8 0
3 years ago
Solve the following equation.
GrogVix [38]

Answer:

-9

Step-by-step explanation:

5x-3x=-10-8

2x= -18

x=-18/2

= -9

4 0
3 years ago
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yKpoI14uk [10]

Answer:

A squared+B squared=Csquared

Step-by-step explanation:

Use Pythagorean theorem.

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3 years ago
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