1. 1, 2, 3 has 3! = 6 possible permutations:
1 2 3 // 1 3 2 // 2 1 3 // 2 3 1 // 3 1 2 // 3 2 1
2. T, V, W taken 2 at a time has 
possible permutations:
T V // T W // V T // V W // W T // W V
3. I'll replace these symbols with f, s, h, and t (face, sun, heart, triangle). This sequence has 
possible permutations:
f s // f h // f t // s f // s h // s t // h f // h s // h t // t f // t s // t h
4. This has 4! = 24 possible permutations.
A B C D // A B D C // A C B D // A C D B // A D B C // A D C B //
B A C D // B A D C // B C A D // B C D A // B D A C // B D C A //
C A B D // C A D B // C B A D // C B D A // C D A B // C D B A //
D A B C // D A C B // D B A C // D B C A // D C A B // D C B A
Answer:
monke
Step-by-step explanation:
monkey
Answer:
36 cubic yards
Step-by-step explanation:
If each cube is 1 cubic yard by 1 cubic yard, then there are 3 cubic yards for the width, 3 cubic yards for height, and 4 cubic yards for length. Finding the volume of a rectangular prism is L*W*H, 3*3*4 = 36. So, 36 cubic yards is your answer.
Answer: 
Concept:
Here, we need to know the power of imaginary numbers
i = √(-1)
i² = -1
i³ = -i
i⁴ = 1
Solve:
<u>Given function expression</u>
<u>Given the requirement of the question</u>
To find the expression for f(i)
<u>Substitute values into the expression</u>
<u>Simplify the exponents</u>
<u>Expand the parenthesis</u>
Hope this helps!! :)
Please let me know if you have any questions
Answer:
y = 0.265x - 494.7
Step-by-step explanation:
Let median age be represent by 'a' and time be represent by 't'
In 1980, median age is given 30
which means that
a₁ = 30
t₁ = 1980
In 2000, the median age is given 35.3
which means that.
a₂ = 35.3
t₂ = 2000
The slope 'm' of the linear equation can be found by:
m = (a₂ - a₁) /(t₂ - t₁)
m = (35.3 - 30)/(2000-1980)
m = 0.265
General form of linear equation is given by:
y = mx + c
y = 0.265x +c
Substitute point (1980,30) in the equation.
30 = 0.265(1980) + c
c = -494.7
Hence the the linear equation can be written as:
y = mx + c
y = 0.265x - 494.7
