Answer: x^6y^4
Step-by-step explanation:
(x^3y^2)^2
Raising to the second power mean multiplying by itself twice
(x^3y^2)^2=(x^3y^2)(x^3y^2)
When you multiply, you add exponents
(x^3y^2)(x^3y^2)=x^3+3 y^2+2
Simplify
x^3+3 y^2+2=x^6y^4
Answer:
14d + 21 = 7(2d + 3)
16 + 4w = 2(2w + 8)
Step-by-step explanation:
14d + 21
7(2d + 3)
14d + 21
14d + 21 = 7(2d + 3)
9(5r - 2)
45r - 18
14r - 7
9(5r - 2) ≠ 14r - 7
8(69 - 9)
552 - 72
489 - 72
8(69 - 9) ≠ 489 - 72
16 + 4w
2(2w + 8)
4w + 16
16 + 4w = 2(2w + 8)
32t + 16
16(2 - t)
32 - 16t
32t + 16 ≠ 16(2 - t)
Answer: r≤10.4
Step-by-step explanation:
Initial depth - 12.8 feet
Maximum depth reached - 49.2 feet
49.2-12.8= 36.4 feet (maximum descent that the scuba diver can make)
Rate = Distance ÷ time
Distance - 36.4 feet
Time - 3.5 minutes
r=
r= 10.4
As r is the maxmimum rate found, r cannot be greater than 10.4, so r must be less than or equal to 10.4.
Therefore, r≤10.4
Answer:
a.1/15
b.1/6
c.1/3
Step-by-step explanation:
number of outcomes from box 1=5
number of outcomes from box 2=6
therefore total number of outcomes=6×5
=30
a. number of times receiving a ticket 2 and the other 5 =2
therefore probability= 2/30
=1/15
b.number of combinations for 7= 5 (1+6, 2+5,5+2,4+3,3+4.)
therefore probability= 5/30
=1/6
c.number of times one number was bigger than twice the other=10 (1+3,3+1,1+4,4+1,1+5,5+1,1+6,2+5,5+2,2+6)
therefore probability= 10/30
=1/3