How many ways can four math books, three history books, three chemistry books, and two computer science books be arranged on a shelf so that all books of the same subject are together?

Step-by-step explanation:

Given,

Math books = 4, History books = 3, Chemistry books = 3 and

Computer science books = 2

To find, the total number of ways = ?

∴ The total number of ways = 4! × 3! × 3! × 2!

= 24 × 6 × 6 × 2

= 24 × 72

= 1728 ways

∴ The total number of ways = 1728 ways

idk but i found this "the graph of y = f(x-2) is the graph of y = f(x) translated two units rightward.  

so, since the point (9,2) lies on the graph of y = f(x), the point (11,2) lies on the graph of y = f(x-2)."

step-by-step explanation:

link is

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week