Answer:
8/5
Step-by-step explanation:
You can either use common sense for this or solve it algebraically. Anything divided by itself is 1, there fore g=8/5. If you would want to solve this like a problem then you would set it up as a fraction, g/8.5=1. To get 8.5 on the other side you need to multiply 8.5 by g/8.5. This will then isolate g and result in g=8/5.
Answer:
-38 - 12x < 200
Step-by-step explanation:
Given,
The original elevation = -38 feet,
Also, the explorer starts moving at a rate of negative 12 feet per minute.
So, the distance covered by explorer after x minutes = -12x feet,
Thus, the final elevation = original elevation + distance covered by explorer
= -38 - 12x
According to the question,
final elevation < -200 feet
⇒ -38 - 12x < 200
Which is the required inequality.
Answer:
14π
Step-by-step explanation:
Graph the region. Rotated about the y-axis, the volume is a round, spherical shape.
Slice the volume into a vertical stack of discs. The radius of each disc is x, the thickness of each disc is dy. The volume of each disc is:
dV = π x² dy
dV = π (7 sin y) dy
dV = 7π sin y dy
The total volume is the sum of all the discs from y=0 to y=π.
V = ∫ dV
V = ∫₀ᵖⁱ 7π sin y dy
V = -7π cos y |₀ᵖⁱ
V = -7π (cos π − cos 0)
V = -7π (-1 − 1)
V = 14π
Answer:
Option C
Step-by-step explanation:
12 miles / 3 mph would equal 4 hrs of travel. He left at 11 AM because 2:00 - 4 hrs is 11 AM.