(! )your class grade consists of 40% homework, 25% quizzes and 35% final exam. suppose you have earned 95% in homework and 84% in quizzes entering the final exam. what percentage do you have to earn in the final in order to have an 87% overall percentage?

Weights:

Homework - .4                                              (score) - (.4)(.95) = .38

Quizzes - .25                                                 (score)  - (.25)(.84) = .21

Final Exam - .35                                             (score) - (.35)(x)

Adding the results up, we get 0.59 + 0.35x

We need to set it up to .87.

0.59 + 0.35x = 0.87

0.59 - 0.59 + 0.35x = 0.87 - 0.59

0.35x = 0.28

x = 0.28/0.35 = .8

Multiplying by 100, he needs an 80% on his final to get an 87% overall

Percentage = dividing by 100.

the desired addition result is 0.87

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

da freeck kinda math is this just drop out

step-by-step explanation: