What are the next three terms in the sequence 5, 14, 23, 32, ...? 43, 54, 65 45, 54, 63 41, 50, 59 47, 56, 65
nikitadnepr [17]
Take a careful look at 5, 14, 23, 32. Each new term is equal to the previous term PLUS 9. Thus, 9 is the "common difference."
Next 3 terms?
32 plus 9 is 41
41 plus 9 is 50
50 plus 9 is 59
59 plus 9 is 68.
and so on
So the "next 3 terms in the seq. 5, 14, 23, 32 are 41, 50, 59.
The easiest way is to try the point (-4,1), that is, x=-4, y=1,
to see which equation works.
b works.
The usual way to do it is to find the equation of the circle
standard form of a circle is (x-h)²+(y-k)²=r², (h,k) are the coordinates of the center, r is the radius.
in this case, the center is (-2,1), so (x+2)²+(y-1)²=r²
the given point (-4,1) is for you to find r: (-4+2)²+(1-1)²=r², r=2
so the equation is (x+2)²+(y-1)²=2²
expand it: x²+4x+4+y²-2y+1=4
x²+y²+4x-2y+1=0, which is answer b.
Answer:
1,000,000= 10^6
10 times 10 is 100 (10^2)
10,000 times 10 is 100,000 (10^5)
2(4x - 7) -1 = 11
8x - 14 -1 = 11
8x - 15 = 11
+ 15 + 15
8x = 26
/8 /8
x = 3. 25 ------> Rounded: 3.30
The anser is 2,450 because every 1hour it grows 50 hope this helps. c:
