Arrange the functions in decreasing order of their periods,
y=-3cos(x+2pi)
y=2/3cot(x/4) +6
y=-1/2tan(5x/6+pi
y=5csc(3x)+6
y=-10sin(x/5 - 2pi)

answer: a.   one is a factor of every whole number since every number is divisible by itself.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column