To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest.
Hope this helped.
Answer:
The answer should be D. 102.4
Step-by-step explanation:
A cross-section is a washer with an inner radius of 8sin(x) - (-1) and an outer radius of 8cos(x) - -(1), so its area would be:
A(x) = π[(8cos(x) + 1)^2 − (8sin(x) + 1)^2]
= π[64cos^2(x) + 16cos(x) + 1 - 64sin^2(x) − 16sin(x) − 1]
= π[64cos(2x) + 16cos(x) - 16sin(x)]
=> V(x) = ∫[0,π/4] π[64cos(2x) + 16cos(x) - 16sin(x)] dx
= π[32sin(2x) + 16sin(x) + 16cos(x)] |[0,π/4]
= π[32sin(π/2) + 16√2/2 + 16√2/2 - 16]
= π(32 - 16 + 16√2) = π(16 + 16√2)
The volume of the region is π(16 + 16√2).
We know that the number of workers doubles every week.
This implies that the number of workers of the previous week is exactly half of the current one's.
So, it took 11 weeks for the factory to be at half capacity.
A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground, in feet, t seconds after the ball was kicked was h(t) = 20 - 16t2 + 32t. ... Therefore, the maximum height, in feet, of the ball above theground after it was kicked was h(1) = 20 - 16(1)2 + 32(1) = 36.
