Answer:
144, 36, 9, 2 
Step-by-step explanation:
The recursive formula allows us to find a term in a sequence from the previous term.
Given
= 
Given the fourth term we require to work back to the third term , second and so on. Rearrange the formula to give
Multiply both sides by 4, then
= 4
Given a₄ = 2
, then
a₃ = 4 × a₄ = 4 × 2
= 9
a₂ = 4 × a₃ = 4 × 9 = 36
a₁ = 4 × a₂ = 4 × 36 = 144
9514 1404 393
Answer:
135°
Step-by-step explanation:
In order to answer the question, we must assume that the black lines are parallel to each other.
The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.
∠2 +∠8 = 180°
15x +5x = 180°
x = 180°/20 = 9°
∠2 = 15x = 15(9°) = 135°
Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.
∠3 = 135°
Answer:
log4x+log4(x-6)=2
place under single log using multiplication rule
log4(x(x-6))=2
convert to exponential form:(base(4) raised to log of number(2)=number(x(x-6)
4^2=x(x-6)
16=x^2-6x
x^2-6x-16=0
(x-8)(x+2)=0
x=8
or
x=-2 (reject, x>0)
Step-by-step explanation:
Answer:
The total number of votes= 9999
Step-by-step explanation:
The ratio of vote specifically the ratio of yes to no vote in a city vote is 6 to 5.
There is a total of 4545 no votes.
Yes/no = 6/5
Yes= no(6/5)
Yes= 4545(6/5)
Yes= 5454
The total number of yes votes are 5454.
The total number of votes= yes votes+ no votes
The total number of votes= 5454+4545
The total number of votes= 9999