lake profondo has a depth of 84 feet. lake segundo is 5/6 as deep. what is the elivation at the bottom of the lake segundo?
To find the depth of lake segundo, we can multiply the depth of lake profondo by 5/6.
Depth of lake segundo = (5/6) * 84 feet
Depth of lake segundo = (5/6) * 84
Depth of lake segundo = (5 * 84)/6
Depth of lake segundo = 420/6
Depth of lake segundo = 70 feet
Therefore, the elevation at the bottom of lake segundo is 70 feet.
a pilot is flying an airplane. due to strong winds, the pilot decides to fly 4,000 feet lower to avoid excessive turbulence. it takes the pilot 3.5 minutes to make this adjustment. interpret the quotient to describe the rate of change in the plane's altitude. give your answer to the nearest hundredth, and remember the plane is descending.
To find the rate of change in the plane's altitude, we can divide the change in altitude (4,000 feet) by the time taken to make this adjustment (3.5 minutes).
Rate of change in altitude = Change in altitude / Time taken
Rate of change in altitude = 4000 feet / 3.5 minutes
Rate of change in altitude ≈ 1142.86 feet per minute.
Therefore, the rate of change in the plane's altitude is approximately 1142.86 feet per minute.
solve the following word problem. a fish is swimming at -10.8 meters, or 10.8 meters below sea level. every 2 minutes it descends another 1.5 meters. how long will it take for the fish to reach a depth of -37.8 meters? show your work and write a sentance to explain what your answer means.
To find the time it takes for the fish to reach a depth of -37.8 meters, we can subtract the current depth (-10.8 meters) from the desired depth (-37.8 meters) and divide it by the rate of descent (1.5 meters per 2 minutes).
Time = (Desired depth - Current depth) / Rate of descent
Time = (-37.8 meters - (-10.8 meters)) / (1.5 meters per 2 minutes)
Time = (-37.8 meters + 10.8 meters) / (1.5 meters per 2 minutes)
Time = -27 meters / (1.5 meters per 2 minutes)
Time = -27 meters / 1.5 meters * (2/1) minutes
Time = -27 meters / 1.5 meters * 2 minutes
Time = -27 meters / 3 meters
Time = -9 minutes
Since time cannot be negative in this context, we take the absolute value of the answer, giving us:
Time = 9 minutes
Therefore, it will take the fish 9 minutes to reach a depth of -37.8 meters.
This means that after 9 minutes, the fish will be 37.8 meters below sea level.
solve the following word problem. a fish is swimming at -10.8 meters, or 10.8 meters below sea level. every 2 minutes it descends another 1.5 meters. how long will it take for the fish to reach a depth of -37.8 meters?
To find the time it takes for the fish to reach a depth of -37.8 meters, we can subtract the current depth (-10.8 meters) from the desired depth (-37.8 meters) and divide it by the rate of descent (1.5 meters per 2 minutes).
Change in depth = Desired depth - Current depth
Change in depth = -37.8 meters - (-10.8 meters)
Change in depth = -37.8 meters + 10.8 meters
Change in depth = -27 meters
Rate of descent = 1.5 meters per 2 minutes
Time = Change in depth / Rate of descent
Time = -27 meters / (1.5 meters per 2 minutes)
Simplifying the units:
Time = -27 meters / (1.5 meters / 2 minutes)
Time = -27 meters * (2 minutes / 1.5 meters)
Time = -54 minutes / 1.5 meters
Simplifying the fraction:
Time = -36 minutes
Since time cannot be negative in this context, it means that the fish will not reach a depth of -37.8 meters.
divide -72 by -4. then divide the quotion by -9. what is the final quotient?(1 point)
When we divide -72 by -4, we get a quotient of 18:
Quotient = -72 / -4
Quotient = 18
Then, when we divide the quotient (18) by -9, we get the final quotient:
Final quotient = 18 / -9
Final quotient = -2
Therefore, the final quotient is -2.