Multiply the monomials:
-11x^2y and 0.3x^2y^3

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Step-by-step explanation:

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-3.3x^4y^4

Step-by-step explanation:

-11x^2y and 0.3x^2y^3

-11x^2y * 0.3x^2y^3

Multiply the constants

-11 * .3 = -3.3

Multiply the x terms

We know that a^b*a^c = a^(b+c)

x^2 * x^2 = x^(2+2) = x^2

Multiply the y terms

y * y^3 = y^(1+3) = y^4

Put them all together

-3.3x^4y^4

(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