Answer:
-1701
Step-by-step explanation:
The recursion relation tells you each term of the sequence is -3 times the previous term. Then the first 6 terms are ...
7, -21, 63, -189, 567, -1701
The value of f(6) is -1701.
_____
<em>Additional comment</em>
The explicit formula for a geometric sequence with first term 7 and common ratio -3 is ...
f(n) = 7×(-3)^(n-1)
Then f(6) is ...
f(6) = 7×(-3)^5 = 7×(-243) = -1701
Isolate the variable by dividing each side by factors that don't contain the variable.
t = −10.8
-1/3x-4/3y=2
1/3x-2/3y=4
First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition
Adding the two equations together gets
-6/3y=6
Simplify
-2y=6
y=-3
Substitute back into original equation
1/3x-2/3(-3)=4
1/3x+2=4
1/3x=2
x=6
Answer
x=6, y=-3
Check answer
-1/3(6)-4/3(-3) =?= 2
-2+4=2
2=2
Done!
Answer:
4/3 pi radius cubed
Step-by-step explanation:
4/3 pi x (8x8x8)
512 x 4/3 pi
2144.660585
Answer:
angle AOD + 170=180 (sum of angles on a straight line)
angle AOD=180-170
angle AOD=10
Angle BOC(4x)+ 170= 180 (sum of angles on a straight line )
angle BOC(4x) =180-170
4x=10
4x/4=10/4
x=2.5
