In the mid-nineteenth century, explorers used the boiling point of water to estimate altitude. The boiling temperature of water T ( in ° F ) can be approximated by the model T = − 1.83 a + 212 , where a is the altitude in thousands of feet. a . Determine the temperature at which water boils at an altitude of 4000 ft. Round to the nearest degree. b. Two campers hiking in Colorado boil water for tea. If the water boils at 193 ° F , approximate the altitude of the campers. Give the result to the nearest hundred feet.
In the mid-nineteenth century, explorers used the boiling point of water to estimate altitude. The boiling temperature of water T ( in ° F ) can be approximated by the model T = − 1.83 a + 212 , where a is the altitude in thousands of feet. a . Determine the temperature at which water boils at an altitude of 4000 ft. Round to the nearest degree. b. Two campers hiking in Colorado boil water for tea. If the water boils at 193 ° F , approximate the altitude of the campers. Give the result to the nearest hundred feet.
Solution Summary: The author explains how the boiling temperature of water can be approximated by the model T=-1.83a+212, where a is the altitude in thousands of feet.
In the mid-nineteenth century, explorers used the boiling point of water to estimate altitude. The boiling temperature of water
T
(
in
°
F
)
can be approximated by the model
T
=
−
1.83
a
+
212
, where a is the altitude in thousands of feet.
a. Determine the temperature at which water boils at an altitude of 4000 ft. Round to the nearest degree.
b. Two campers hiking in Colorado boil water for tea. If the water boils at
193
°
F
, approximate the altitude of the campers. Give the result to the nearest hundred feet.
The frequency, F (the number of oscillations per unit of time), of an object of mass m attached to a spring is inversely proportional to the square root of m.
a. Write an equation describing the relationship. Use k as the proportionality coefficient.
Edit
b. If a mass of 0.25 kg attached to a spring makes six oscillations per second, find the constant of proportionality, k.
Hz kg1/2
c.Find the number of oscillations per second made by a mass of 0.01 kg that is attached to the spring discussed in part (b)
F(0.01)
Hz
Solve for x in each figure and order the figures according to their values of x , from least to greatest.
B.
90°
(2x +8)
90
(2x+ 8)°
100°
(5x)°
(5x)
Y
150
60°
(6x)°
(5x + 25)
60
A.
150
て
II
Find the value of sec 1(0.5)
-T/2
a.
O b. T
O c. undefined
O d. T/4
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