Let's analyze the sequence: {2,3,5,9,17...}.
3 = 2+1
5 = 3+2
9=5+4
17=9+8
So, every element of the sequence is obtained as sum from the previous element + (previous element -1)
y[n]=y[n-1] + (y[n-1]-1)
Answer:
7 minutes
Step-by-step explanation:
The scientist changes the temperature for the solution at a rate of -7°C per minute. We need to find out how long it'll take for the solution's temperature to change from 0°C to -49°C. So, we divide -7 by -49 to find out how long it will take:
-49 / -7 = 7
It will take 7 minutes for the temperature to reach -49°C.
2/6 * 24 = 8 council members vote for a new park
so they need to convince 13-8 = 5 more members
The area of the square is s×s
= 4×4 = 16 m²
The area of a quarter circle is (πr²)/4
= 3.14 × 16/4
= 3.14 ×4
= 12.56 m²
Therefore, the total area is;
= 16 +12.56
= 28.56 m²
≈ 28.6 m²
Answer: A. (3,-2)
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 4x = 5y + 22
[2] x = 5y/4 + 11/2
// Plug this in for variable x in equation [1]
[1] 2•(5y/4+11/2) + 5y = -4
[1] 15y/2 = -15
[1] 15y = -30
// Solve equation [1] for the variable y
[1] 15y = - 30
[1] y = - 2
// By now we know this much :
x = 5y/4+11/2
y = -2
// Use the y value to solve for x
x = (5/4)(-2)+11/2 = 3
Solution :
{x,y} = {3,-2}