Answer:
when added to the original number, would equate to zero. Another term this may be known as is the additive identity. The additive inverse is simply:
(a + bi) = -(a + bi)
Given: 9 - 4i
-(9 - 4i) = -9 + 4i
Therefore, the answer is B.
9514 1404 393
Answer:
(9√3 -3π/2) ft^3 ≈ 10.88 ft^3
Step-by-step explanation:
The area of the hexagon is given by the formula ...
A = (3/2)√3·s^2 . . . . for side length s
The area of the hexagonal face of this solid is ...
A = (3/2)√3·(2 ft)^2 = 6√3 ft^2
__
The area of the circular hole in the hexagonal face is ...
A = πr^2
The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.
A = π(1 ft)^2 = π ft^2
Then the area of the "solid" part of the face of the figure is ...
A = (6√3 -π) ft^2
__
The volume is ...
V = Bh . . . . . where B is the area of the base of the prism, and h is its height
V = ((6√3 -π) ft^2)(3/2 ft) = (9√3 -3π/2) ft^3 ≈ 10.88 ft^3
Answer: Probability P = 1/1716
Step-by-step explanation:
Definition
For permutation ( order is important)
nPr = n!/(n-r)!
Given;
Total number of members in the committee = 13
Total number of members to be selected = 3
Since order is important in this case.
The total number (Tt) of possible ways of selecting three executives from the committee members is given as
Tt = 13P3 (since order is important)
Tt = 13!/(13-3)!
Tt = 13!/10!
Tt = 1716
The probability P of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions is equal to
P = number of favourable outcomes/ number of possible outcomes
Number of favourable outcomes = 1 (i.e 1×1×1 = 1) one option for each post.
Number of possible outcomes = Tt = 1716
P = 1/1716
Answer:
B
Step-by-step explanation:
given the first 3 terms of the geometric sequence - 4, 20, - 100
with r = 
= 
= - 5
the n th term formula ( explicit formula ) is
= 
here r = - 5 and = - 4, hence
= - 4 
with n ≥ 1
Answer:
348 frogs
Step-by-step explanation:
ratio = 3:7
total of ratio = 10
frogs = 3/10 × 1280 = 348 frogs
