Again, a spreadsheet or suitable calculator makes this short work.
The sum is 184.
_____
The terms being summed are ...
2·3² +3 = 2·9 +3 = 18 +3 = 21
2·4² +3 = 35
2·5² +3 = 53
2·6² +3 = 75
Their total is
21 +35 +53 +75 = 184
A unit vector in the direction of a would be the vector a multiplied by a factor such that the length of vector a is unity.
The magnitude of a is given by:
|a|
=sqrt(4^2+3^2+2^2) [ I got lazy instead of writing (-4)^2+(-3)^2+2^2]
=sqrt(29).
So the univector is a/sqrt(29), or (-4/sqrt(29),-3/sqrt(29), 2/sqrt(29), or simply (-4,-3,2)/sqrt(29).
The radius r used in below equations would equal 2in because it is half the given diameter of 4in.
The volume of the cone would be
The volume of a cylinder with the same dimensions would be
The cylinder is 24 - 8 = 16 cubic inches greater.
Answer:
D) 36 bottles for $4 by 1.4¢ per bottle
Step-by-step explanation:
We calculate bottle per dollar for each option.
#A
Bottles/Dollar=
bottles/dollar
#Both B and C charges the same as A and will have bottle/dollar ration of 8:1
#D
Hence, D is the better buy as it gives you 9bottles per $1 spent as compared to the 8 bottles per $1 spent as in the other 3 options.
Answer:
C
Step-by-step explanation:
