Answer:
Yes
Step-by-step explanation:
The product of three polynomials will be a polynomial regardless of the signs of the leading coefficients of the polynomials.
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
<span>
<span>
<span>
2,490,952,020,480,000
</span>
</span>
</span>
divided by
<span>
<span>
<span>
479,001,600
</span>
</span>
</span>
and that equals
<span>
<span>
<span>
5,200,300
</span>
</span>
</span>
combinations
Here's a combination calculator to check your work:
http://www.1728.org/combinat.htm
The average speed of the truck is calculated by dividing the total distance traveled in a span of the total time given. From the given above, the total distance traveled is
total distance = 203 mi + 243 mi = 446 mi
and the total time it took for the whole trip is
total time = 3.5 h + 4.5 h = 8 h
The average speed is therefore,
average speed = 446 mi/8 h = 55.75 mi/h
Thus, the answer is letter A.
Answer:
Arithmetic Sequence:
d=4
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4 o the previous term in the sequence gives the next term. In other words, aₙ=a₁+d(n-1)
