Frank has been given a list of 4 bands and asked to place a vote. his vote must have the names of his favorite, second favorite, and third favorite bands from the list. how many different votes are possible?

24 different possible votes

Step-by-step explanation:

This is a permutation problem. There's a formula: P(n,r)=n!/(n-r)!

Where P is the number of permutations (combinations), n is the number of objects (4 bands, in this case) r is the number of objects taken at a time (1st fav, 2nd fav and 3rd fav=3)

P(4,3)=4!/(4-3)!=4!/1!= 24/1= 24 combinations

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh