Answer:
d
Step-by-step explanation:
Area of the inner circle = 3^2 π = 9 π
total area = 10^2 π = 100π
area of the shaded region
100π - 9 π = 91 π
To determine the nth term, we must create a function.
f(n) = 1st term + common difference (n - 1)
n = term you are looking for
1st term = 1st number in the sequence
common difference = the difference between two consecutive numbers in the sequence.
based on the above sequence, the 1st term is 2, its common difference is 3.
f(n) = 2 + 3(n-1)
Assuming we are looking for the 5th term
f(5) = 2 + 3(5-1)
= 2 + 3(4)
= 2 + 12
f(5) = 14 as you can see in the above sequence 14 is the 5th term.
For any other value of the nth term, simply substitute n by the number of the term and solve the equation.
Answer:
Step-by-step explanation:
<em>(17).</em> g(x) = x³ + 4x
f(x) = 4x + 1
( f × g )( x ) = ( x³ + 4x )( 4x + 1 ) = <em>4 </em>
<em> + x³ + 16x² + 4x</em>
<em>(19).</em> f(t) = 4t - 4
g(t) = t - 2
( 4f + 3g )( t ) = 4(4t - 4) + 3(t - 2) = 16t - 16 + 3t - 6 = <em>19t - 22</em>
<em>(21).</em> h(t) = t + 3
g(t) = 4t + 1
h(t - 2) + g(t - 2) = ( t - 2 ) + 3 + 4( t - 2 ) + 1 = t + 4t - 2 + 3 - 8 + 1 = <em>5t - 6</em>