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xxMikexx [17]
3 years ago
5

DJ Howard is making a playlist for a radio show; he is trying to decide what songs to play and in what order they should be play

ed.
If he has his choices narrowed down to reggae, pop, and rock songs, and he wants to play an equal number of reggae, pop, and rock songs, how many different playlists are possible?
Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

Answer:

The number of different playlists possible with order important = 1.9996 × 10¹³ ways = 2.00 × 10¹³ ways

Step-by-step explanation:

Selection problems in which the order matters are permutation problems.

So, the choices are 4 reggae songs from 11

4 pop songs from 12

4 rock songs from 23

number of ways = ¹¹P₄ × ¹²P₄ × ²³P₄ = 7920 × 11880 × 212520 = 19,995,921,792,000 = 1.9996 × 10¹³ ways

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ikadub [295]

Answer: The least number of minutes that he has used his phone in a month is 1248

Step-by-step explanation:

Let m represent the number of minutes that he used his phone in a month.

For his phone service, Michael pays a monthly fee of $16, and he pays an additional $0.04 per minute if use. This means that if he used m minutes in a month, the total cost would be

16 + 0.04m

The least he has been charged in a month is $69.52. This means that

16 + 0.04m ≥ 65.92

0.04m ≥ 65.92 - 16

0.04m ≥ 49.92

m ≥ 49.92/0.04

m ≥ 1248 minutes

6 0
3 years ago
Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life. Ch
Shalnov [3]

Answer:

  L = s^2/(30.25Cd)

Step-by-step explanation:

In accident investigation, the speed of a vehicle can be estimated using a polynomial function that relates speed (s) to the length of skid marks (L). The drag coefficient Cd will depend on the condition of the road surface and tires, but might be expected to be between 0.7 and 0.8.

If the skid marks end in a collision, the length of the marks that might have been made can be estimated using this formula, then that length added to the actual length of marks to estimate the original speed. The speed at the point of collision can be estimated by the damage caused, and/or the movement created.

In the above formula, length is in feet, and speed is in miles per hour.

8 0
3 years ago
A 14​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 8 fee
mafiozo [28]
Yeah actually he’s right
4 0
4 years ago
Read 2 more answers
Given that 2×+7=27 and 3×+1=28, does 2×+7=3×+1? explain <br>​
Maru [420]

Answer:

No

Step-by-step explanation:

The variables are different in both problems. In 2×+7=27, it's 10, while in the other problem, it's 9.

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A pipe that's 36 inches long needs to be cut into 2 1/4-inch long pieces. How many pieces can be cut from this length of pipe? H
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Answer:

16 inches

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Number of pieces = 36 / 9/4

= 36 + 4/9

= 16 inches

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3 years ago
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