In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:<span>
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
</span><span>THIRD
</span><span>A3=4+(3-1)(-5)
A3 = -6
A(3)=-2(3-1)(-5)
A3 = 20
</span><span>
FIFTH
</span>A5=4+(5-1)(-5)
A5 = -16
A(5)=-2(5-1)(-5)
A5 = 40<span>
TENTH
</span>A10=4+(10-1)(-5)
A10 = -41
A(10)=-2(10-1)(-5)
A10 = 90
Answer:
The correct answer is - A. cultural.
Step-by-step explanation:
The exchange of music, thus creating an artistic and entertainment connection between the people of different countries, regions, or continents is a nice example of cultural connection.
The music is part of the culture of the people, and all the people from every part of the world have their own specific type of music that complements their culture.
With the globalization process, people have been able to see and hear things from all around the world, thus managing to hear the music of all pats of the world. The Japanese and Korean music have experienced a real ''boom'' in popularity in the western world, as lot of people find it interesting, and the American music also reached new countries where it became the most popular, like in Europe for example.
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To find population density, it is population / area.
The population is 6688, divided by the area of 16.
6688/16 = 418
So the population density is 418 people per sq mile.
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
Answer: The required probability is
Step-by-step explanation:
Since we have given that
Number of kids = 10
Number of kids in Team A = 5
Number of kids in Team B = 5
There are three kids in the group, Alex and his two best friends Jose and Carl.
So, number of favourable outcome is given by
Total number of outcomes is given by
So, the probability that Alex ends up on the same team with at least one of his two best friends is given by
Hence, the required probability is