This problem is an example of an arithmetic series.
The common difference of the second term (15) with the first term (9) and the third term (21) with the second term (15) [15-9=6; 21-15=6] is 6.
The formula for solving this is:
An= A1 +(n-1)*d where An is the nth term, A1 is the first term, n is the number of terms and d is the common difference.
An=9+ (31-1)*6 = 189
The answer is 189.
You need to find what 3 is if 5 is $520,000
$520,000 divided by 5 = 104,000
104,000 x 3 = 312,000
Therefore 3 is 312,000
Hope this helps :3
Answer:
Step-by-step explanation:
circumference=2πr=6.28
r=6.28/2π=3.14/π=3.14/3.14=1
area=πr^2=π×1²=π=3.14 units²
1) suppose for purposes of calculation that the cake is inscribed in a square of 8 by 8
the area of 1 cake=8*8=64 in²
the rectangular table area=576 in²-----> I assume square table 24 in x 24 in
576/64= 9----------- > Sue has baked 9 cakes
if just 1 carrot cake
then
(9-1)=8 ----------> coffee cakes and lemon cakes
we know that equal numbers of coffee cakes and lemon cakes
therefore
coffee cakes=8/2=4
lemon cakes=4
carrot cake=1
the answer part 1) is
the dimensions of the table are 24 in x 24 in
the answer part 2) is
Sue has baked 9 cakes
coffee cakes=4
lemon cakes=4
carrot cake=1
part 3) distribution of the cakes in the table 24 in x 24 in
answer
let
Z------->carrot cake
C------->coffee cakes
L------->lemon cakes
Z-C-L or C-L-C
C-L-C Z-C-L
L-C-L C-L-C
Answer: 571
To get this answer, we first need to compute the value of f(4). This happens when we plug x = 4 into f(x)
f(x) = 5x + 4
f(4) = 5*4+4 ... each x replaced with 4
f(4) = 20+4
f(4) = 24
Now replace every 'x' in g(x) with f(4) like so
g(x) = x^2 - 5
g(x) = ( x )^2 - 5
g(f(4)) = ( f(4) )^2 - 5 .... every x replaced with f(4)
g(f(4)) = ( 24 )^2 - 5 ... see note below
g(f(4)) = 576 - 5
g(f(4)) = 571
note: the f(4) on the right hand side of that equation is replaced with 24, because we found earlier that f(4) = 24. In other words, f(4) is the same as 24.
