Answer:
<em>6, 10 and 8</em>
Step-by-step explanation:
Given the recursive function an = an-1-(an-2 - 4), when a5 =-2 and a6 = 0?
a6 = a5 - (a4 - 4)
0 = -2 - (14 - 4)
2 = - (a4 - 4)
-2 = a4 - 4
a4 = -2 + 4
a4 = 2
a5 = a4 - (a3 - 4)
-2 = 2 - (a3 - 4)
-2-2 = - (a3 - 4)
-4 = -(a3 - 4)
4 = a3 - 4
a3 = 4+4
a3 = 8
Also
a4 = a3 - (a2 - 4)
2 = 8 - (a2 - 4)
2-8 = - (a2 - 4)
-6 = -(a2 - 4)
6 = a2 - 4
a2 = 6+4
a2 = 10
a3 = a2 - (a1 - 4)
8 = 10 - (a1 - 4)
8-10 = - (a1 - 4)
-2 = -(a1 - 4)
2 = a1 - 4
a1 = 2+4
a1 = 6
<em>Hence the first 3 terms are 6, 10 and 8</em>
Answer:
100
Step-by-step explanation:
"What number" means a variable, like x.
"Is" means equals.
"Less than" means subtracted from.
Percent means out of 100.
"Of" means multiplication.
x = (150/100) 80 - 20
x = 120 - 20
x = 100
Answer:
C 1055 04 cm
Step-by-step explanation:
We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).
So, we first need to calculate the volume of the cylinder, which is given by the formula:
VT = π * r² * h
VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm
Then we calculate the volume of the cone, which is given by:
VC = (π * r² * h)/3
VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm
Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:
NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm
Answer:
In 3y-24, 3 is the greatest common factor.
3y-24
=3(y-8)
X → first
X + 2 → second
X + 4 → third
X + 4 → fourth
x + x + 2 + x + 4 + x + 6 = 100
4x + 12 = 100
4x = 88
x = 22
x + 2 = 24
x + 4 = 26
x + 6 = 28
So your integers are 22, 24, 26, and 28.
