Andre received $60 for his birthday and put it in his piggy bank. each week, he puts 3 more dollars in his bank. the amount of money in dollars d in his bank is given by d = 3w + 60, where w is the number of weeks he has saved 3 dollars. his sister lana makes a table of reasonable values for w. lana selects 12 as a value for w. what is the corresponding table entry for d? a. 372 b. 96 c. 75 d. 64

96 → B

substitute w = 12 into the equation D = 3w + 60

D = (3 × 12 ) + 60 = 36 + 60 = 96

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

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: