Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decreases exponentially with depth. The percentage of visible light, P (in decimal form), at a depth of x meters is given by P = e − k t , where k is a constant related to the clarity and other physical properties of the water. The graph shows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions. Use these models for Exercises 73-76. The euphotic depth is the depth at which light intensity falls to 1% of the value at the surface. This depth is of interest to scientists because no appreciable photosynthesis takes place. Find the euphoric depth for the open ocean. Round to the nearest tenth of a meter.
Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decreases exponentially with depth. The percentage of visible light, P (in decimal form), at a depth of x meters is given by P = e − k t , where k is a constant related to the clarity and other physical properties of the water. The graph shows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions. Use these models for Exercises 73-76. The euphotic depth is the depth at which light intensity falls to 1% of the value at the surface. This depth is of interest to scientists because no appreciable photosynthesis takes place. Find the euphoric depth for the open ocean. Round to the nearest tenth of a meter.
Solution Summary: The author calculates the euphotic depth for the open ocean at which the light intensity falls to 1% the value at the surface as sunlight is absorbed in water.
Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decreases exponentially with depth. The percentage of visible light, P (in decimal form), at a depth of x meters is given by
P
=
e
−
k
t
, where k is a constant related to the clarity and other physical properties of the water. The graph shows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions. Use these models for Exercises 73-76.
The euphotic depth is the depth at which light intensity falls to 1% of the value at the surface. This depth is of interest to scientists because no appreciable photosynthesis takes place. Find the euphoric depth for the open ocean. Round to the nearest tenth of a meter.
Solve the equation. Write the smaller
answer first.
2
(x-6)²
= 36
x =
Α
x =
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Write a quadratic equation in
factored form that has solutions of x
=
2 and x = = -3/5
○ a) (x-2)(5x + 3) = 0
○ b) (x + 2)(3x-5) = 0
O
c) (x + 2)(5x -3) = 0
○ d) (x-2)(3x + 5) = 0
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