Answer:
i think the answer would be 7 8/9
Step-by-step explanation:
The 3 in 350 is 100 times greater then the 3 in 403
Let's make a table of differences
0 3 8 15 24
3 5 7 9
2 2 2
Constant second difference means a quadratic polynomial,
f(n)=an² + bn +c
f(1)=0, f(2)=3, f(3)=8
0 = a+b+c
3 = 4a + 2b + c
8 = 9a + 3b + c
Subtracting pairs
3 = 3a+b
5 = 5a + b
Subtracting,
2 = 2a
a = 1
b = 5 - 5a = 0
c = -a-b = -1
f(n)=n² -1
Duh, shoulda noticed that at the beginning.
f(17)=17²-1 = 288
a₁ =5
aₙ = aₙ₋₁ - 7
aₙ = a₁ + d(n-1)
aₙ = 5 - 7(n-1)
a₇ = 5 - 7(6) = -37
Answer: -37
Answer: 2,916 inches³
Step-by-step explanation:
The volume of a box is:
= Length * Width * Height
But all of these have to have the same units for it to work. This means that the height of the box will have to be converted to inches :
1 ft is 12 inches so:
= 1¹/₂ * 12
= 3/2 * 12
= 18 inches
Volume is therefore:
= 18 * 9 * 18
= 2,916 inches³
Answer:
Options (1), (2) and (3)
Step-by-step explanation:
Area of a circle = πr²
Here, r = radius of the circle
Option (1)
Circumference of the circle = 2πr
51 = 2πr
r = 
r = 8.12 inches
Area of the circle = π(8.12)² = 206.98 inches²
Option (2)
Area of the given circle = πr²
= π(8)²
= 201.06 inches²
Option (3)
Diameter of the circle = 17 inches
Radius of the circle = 
inches
Area of the circle = π(8.5)² = 226.98 inches²
Option (4)
Radius of the circle = 
= 9.5 inches
Area of the circle = π(9.5)² = 283.53 inches²
Option (5)
Area of the circle = π(6)²
= 36π
= 113.10 inches²
Area of the circle given in options (1), (2) and (3) are between 200 and 250.
