A. 8^9/2= around 11585.2375; (sqrt8)^9= around 11585.2375. So choice A shows a pair of equivalent expressions.
B. (3sqrt125)^9=1,953,125; 125^9/3=1,953,125. So choice B also shows a pair of equivalent expressions.
C. 12^2/7= around 2.03394; (sqrt12)^7= around 5,985.96759. So choice C does not show a pair of equivalent expressions.
D. 4^1/5=around 1.31951; (sqrt4)^5=32. So choice D also doesn't show a pair of equivalent expressions.
Your answers are A and B.
I hope this helps ;)
Answer:
500 and 500
Step-by-step explanation:
Answer:
B) μD = 0.60 ± 0.10(1.397)
Step-by-step explanation:
The confidence interval is given by:

Where
MD=60
n=9
df=n-1=8


Then the confidence interval is
μD=0.60±1.397*(0.3/√9)
μD=0.60±0.10*(1.397)
Answer:
122.7792 sq. m
Step-by-step explanation:
diameter= 8.4 m
therefore, radius = r = 4.2 m.......( as radius is 1/2 of diameter)
height = h= 12 m
only the exterior is to painted so the total surface area of the cylinder is taken,
total surface area of cylinder = 2π r( h+r)
=2* 3.14* 4.2*(12+4.2)
=122.7792 sq. m
Given :
Three points , P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .
To Find :
The length of sides .
Given :
We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :

Length of PQ :

Length of QR :
:
Length of RP :

Hence , this is the required solution .