Answer:
x = -2 + 2 i or x = -2 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 4 x + 8 = 0
Subtract 8 from both sides:
x^2 + 4 x = -8
Add 4 to both sides:
x^2 + 4 x + 4 = -4
Write the left hand side as a square:
(x + 2)^2 = -4
Take the square root of both sides:
x + 2 = 2 i or x + 2 = -2 i
Subtract 2 from both sides:
x = -2 + 2 i or x + 2 = -2 i
Subtract 2 from both sides:
Answer: x = -2 + 2 i or x = -2 - 2 i
Volume of tractor = length x width x height = 301.5 x 96.99 x 105.04 = 3,071,630.624
For baseballs of 9 inches:

Volume =

Number of 9 inches baseballs =

For baseballs of 9.25 inches:

Volume =

Number of 9.25 inches baseballs =

Therefore, the tractor can contain between 229,824 and 249,513 baseballs.
The remainder is 23.
105 R23
Answer:
does not exist
Step-by-step explanation:
According to the divergence test, for an infinite series ∑ aₙ, the series diverges if lim(n→∞) aₙ ≠ 0.
Applying the divergence test here:
lim(n→∞) (3n⁵ / (4n⁵ + 1)) = 3/4
This is not 0, so the series does not converge, meaning the sum does not exist.
Answer:
There will be <u>108</u> interactions for <u>9</u> children.