Answer:
d. 20
Step-by-step explanation:
The given question implies 5 permutation 2, i.e 
.
But,
= 
So that for , n = 5 and r = 2.
= 
= 
= 
Cancel out 3 and 2 with respect to the numerator and denominator.
= 5 * 4
= 20
Therefore,
= 20
So that the correct option is D.
<span>Three equivalent fractions are, 6/10, 9/15, 12/20</span>
Answer:
Domain should be Df = {x>-1}
Step-by-step explanation:
Insert the g(x) into the x of f(x) function. Then let the denominator of the fg(x) = 0 <em>(</em><em>u</em><em>n</em><em>d</em><em>e</em><em>f</em><em>i</em><em>n</em><em>e</em><em>d</em><em>)</em>. Find x.
If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,
m₁ + m₂ + m₃ = 180
Given the measures of the first two angles, the measure of the third angle is calculated through the equation,
m₃ = 180 - (m₁ + m₂)
Substituting the known expressions,
m₃ = 180 - (-3x⁵ + 2x²)
Simplifying,
<em> m₃ = 180 + 3x⁵ - 2x²</em>
Answer:
The percentage decrease = 0.9%
Step-by-step explanation:
Using the formula
Percentage Decrease = [ (Initial Value - Final Value) / |Initial Value| ] × 100
= [(9.80 - 9.71 ) / (9.80)] × 100
= [0.09 / 9.80] × 100
= 0.009 × 100
= 0.9%
Therefore, the percentage decrease = 0.9%
