Answer:
1.80 * 10^19
Step-by-step explanation:
If he has narrowed down his choices to 14blues, 25 country and 21 disco songs and he has to make a list of 12 songs with equal representation of each genre of song, the it means there will be 4 songs from each genre of music.
We select this 4 different songs using the combination formula for selection and multiply our results.
This means we have:
12C4 for blues,
25C4 for country
21C4 for disco.
This gives:
=12C4 * 25C4 * 21C4
= 495 * 12650 * 5985
And the order they can be played = 12!.
We then multiply the number of ways to get these songs by the order they can come in.
That is:
=495 * 12650 * 5985 * 12!
= 1.7951 * 10^19
= 1.80 * 10^19 (nearest hundredth).
Answer:
Step-by-step explanation:
8 fluid ounces in one cup
16 fluid ounces in a pint
2 feeders of 6 fluid ounces each
8 plus 16 plus 12
36, D
Answer:
the recursive formula is
an=an-1 +d
an would be the n-th term witch is 8, d would be the difference witch is 5
an= (33) +5 an-1 would be the previous term (7th) I added five to the terms until I got to the 7th term
the 8th term is 38
the explicit formula is
an= a1 + (n-1)d
an= -2 + (53-1) -3
an= -2 + -156
an= -158
sorry but I haven't used this formula before but I did try my best using it
Step-by-step explanation:
The answer is f(x) = 0.25(5.25)x
Answer:
16x² − 56x + 49
Step-by-step explanation:
The square of difference of two terms can be expressed as a perfect square trinomial in the following manner:
The symbol with square terms must be always positive. So this removes the first two options from the given choices. The correct option is either c or d.
Only the option d can be expressed as a perfect square as shown below:
Option c would have been correct if it was -30b instead of -15b i.e. the middle term is twice the product of first and second term.
So, option D is correct