Answer:
=
(3n + 7)
Step-by-step explanation:
We require to find the first term a₁ and the common difference d
The n th term is given by 3n + 2, thus
a₁ = 3(1) + 2 = 3 + 2 = 5
a₂ = 3(2) + 2 = 6 + 2 = 8
d = 8 - 5 = 3
=
[ 2a₁ + (n - 1)d ], substitute values
=
[ (2 × 5) + 3(n - 1) ] =
(10 + 3n - 3) =
(3n + 7)
23. y=25x looks about right to me
24. for the equation I used, 2010 is 30 years from 1980, so y=25*30, our about 750,000
<span><u><em>The correct answers are: </em></u>
1) A;
2) A;
4) D
3 cannot be done because the graph is not shown.
<u><em>Explanation:</em></u><span><u><em> </em></u>
1) Shifting a graph to the left, we would normally think of subtracting 1 from the function. However, horizontal translations are the opposite; left means adding 1 to x, while right means subtracting 1 from x.
2) A reflection in the x-axis means the y-coordinate will be negated (the opposite sign). This means that g(x)=-f(x)=-(x^2+5=-x^2-5.
4) To perform a vertical stretch of a function, we multiply by the factor; this gives us y=6x.</span></span>
C=2pir
area=pir^2
so if c=10units
10=2pir
5=pir
5/pi=r
sub for area
area=pir^2
area=pi(5/pi)^2
area=pi(25/pi^2)
area=25/pi
75% or 3/4 of that is
25/pi times 3/4=75/(4pi)
use calculator
5.9683103659460750913331411264693 square units
or rounded
6 square units