Answer:
3.63 * 10^19
Step-by-step explanation:
Given that :
Number of choices to select = 12
Category available :
Blues - 14
Country - 25
Disco - 21
To select an equal number of song for each category ; then 4 songs will be selected from each :
Using combination :
(14C4 * 25C4 * 21C4)
Since the order matters for the 12 selected songs ; it thus requires 12 permutation
Thus ;
(14C4 * 25C4 * 21C4) * 12!
nCr = n! / (n-r)!r!
Using calculator;
14C4 = 1001 ;
25C4 = 12650
21C4 = 5985
12! = 479001600
Hence,
(1001 * 12650 * 5985) * 479001600
= 36301596217286400000
=3.63 * 10^19
Answer: -74
Step-by-step explanation:
First you have to solve - 2y - 9 = 7 to find what "y" equals so we can plug that into 9y - 2
1. Solve -2y - 9 =7:
-2y = 16
y = -8
2. Plug -8 into the expression 9y - 2:
9(-8) - 2
-72 -2
-74!
Im sorry if i didnt do this correctly :/
9514 1404 393
Answer:
3. m∠A < 80°
Step-by-step explanation:
The exterior angle NGS, marked as 80°, has a measure that is the sum of the measures of the remote interior angles: GAN, GNA.
If we assume that angle measures cannot be zero, then we must have ...
m∠A +m∠N = 80°
m∠A = 80° -m∠N
Since m∠N > 0, the measure of angle A must be less than 80°.
This conclusion matches choice 3.
Answer:
look at the pictures
Step-by-step explanation:
HOPE THIS helps
Answer: 6.24 tablespoons
Explanation: okay so if $.39 is 2 tablespoons, then you can multiply that by 8 because there are 8 tablespoons in half a cup. After you multiply that just multiply it by 2 because they are trying to make two pies. And that’s how you your answer.