Answer:
The nth term of the sequence is
<h2>5 + 2n</h2>
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 7
d = 9 - 7 = 2 or 11 - 9 = 2
So the nth term for the sequence is
A(n) = 7 + ( n - 1)2
= 7 + 2n - 2
<h3>A(n) = 5 + 2n</h3>
Hope this helps you
Answer:
Option 3 is right.
Step-by-step explanation:
Reference angle of x is obtained by either 180-x, 180+x. or 360-x depending on the posiiton of terminal whether II quadrant or iv quadrant, or iii quadrant, etc.
In whatever way we find reference angles,
cos will remain cos only and sin will remain sin only there may be only changes in sign.
Of all the ordered pairs given, we find that I, II, and Iv there is a switch over form cos to sine and sin to cos. Hence these options cannot be for reference angles.
III option is 
show that both sign and cos changed sign. This is possible only in III quadrant.
ie reference angle of orignal angle t = 180+t
SO this option is right.
Step-by-step explanation:
Given the expression for the net value of an entertainment company after t months modeled by the equation;
v(t)=4t²-24t-28
1) To write the expression in a factored form, we need to factorize the equation given;
v(t)=4t²-24t-28
divide through by 4
v(t)=t²-6t-7
v(t)= t²-7t+t-7
v(t)= t(t-7)+1(t-7)
v(t)= (t+1)(t-7)
Hence the function in a factored or vertex form is v(t)= (t+1)(t-7)
2) To know the number of months after the company creation that the company reaches its lowest value, we will substitute v(t) = 0 into the factored form of the expression as shown;
v(t)= (t+1)(t-7)
0 = (t+1)(t-7)
(t+1)(t-7) = 0
t+1 = 0 and t-7 = 0
t = -1 and t = 7
But t cannot be negative
Hence t = 7 months
This means that the company reaches its lowest net value after 7 months
We know that
The volume of a circular truncated cone=(1/3)*pi*[r1²+r1*r2+r2²]*h
where
r1=7/2-----> 3.5 in
r2=10/2----> 5 in
h=12 in
volume of a circular truncated cone=(1/3)*pi*[3.5²+3.5*5+5²]*12
volume=688 in³
the answer is
688 in³
Answer:
Step-by-step explanation:
