The way that we perceive the temperature on a cold day depends on both air temperature and wind speed. The windchill is what the air temperature would have to be with no wind to achieve the same chilling effect on the skin. In 2002, the National Weather Service issued new windchill temperatures, shown in the table below. (One reason for this new windchill index is that the wind speed is now calculated at 5 feet, the average height of the human body’s face, rather than 33 feet, the height of the standard anemometer, an instrument that calculates wind speed.) The windchill temperatures shown in the table can be calculated using C = 35.74 + 0.6215 t − 35.74 v 4 25 + 0.4275 t v 4 25 , in which C is the windchill, in degrees Fahrenheit, t is the air temperature, in degrees Fahrenheit, and U is the wind speed, in miles per hour. Use the formula to solve Exercises 129–132. a. Rewrite the equation for calculating windchill temperatures using rational exponents. b. Use the form of the equation in part (a) and a calculator to find the windchill temperature, to the nearest degree, when the air temperature is 25°F and the wind speed is 30 miles per hour.
The way that we perceive the temperature on a cold day depends on both air temperature and wind speed. The windchill is what the air temperature would have to be with no wind to achieve the same chilling effect on the skin. In 2002, the National Weather Service issued new windchill temperatures, shown in the table below. (One reason for this new windchill index is that the wind speed is now calculated at 5 feet, the average height of the human body’s face, rather than 33 feet, the height of the standard anemometer, an instrument that calculates wind speed.) The windchill temperatures shown in the table can be calculated using C = 35.74 + 0.6215 t − 35.74 v 4 25 + 0.4275 t v 4 25 , in which C is the windchill, in degrees Fahrenheit, t is the air temperature, in degrees Fahrenheit, and U is the wind speed, in miles per hour. Use the formula to solve Exercises 129–132. a. Rewrite the equation for calculating windchill temperatures using rational exponents. b. Use the form of the equation in part (a) and a calculator to find the windchill temperature, to the nearest degree, when the air temperature is 25°F and the wind speed is 30 miles per hour.
Solution Summary: The author explains the equation for calculating windchill with the help of rational exponents.
The way that we perceive the temperature on a cold day depends on both air temperature and wind speed. The windchill is what the air temperature would have to be with no wind to achieve the same chilling effect on the skin. In 2002, the National Weather Service issued new windchill temperatures, shown in the table below. (One reason for this new windchill index is that the wind speed is now calculated at 5 feet, the average height of the human body’s face, rather than 33 feet, the height of the standard anemometer, an instrument that calculates wind speed.)
The windchill temperatures shown in the table can be calculated using
C
=
35.74
+
0.6215
t
−
35.74
v
4
25
+
0.4275
t
v
4
25
,
in which
C
is the windchill, in degrees Fahrenheit,
t
is the air temperature, in degrees Fahrenheit, and
U
is the wind speed, in miles per hour. Use the formula to solve Exercises 129–132.
a. Rewrite the equation for calculating windchill temperatures using rational exponents.
b. Use the form of the equation in part (a) and a calculator to find the windchill temperature, to the nearest degree, when the air temperature is 25°F and the wind speed is 30 miles per hour.
Solve the system of equation for y using Cramer's rule. Hint: The
determinant of the coefficient matrix is -23.
-
5x + y − z = −7
2x-y-2z = 6
3x+2z-7
eric
pez
Xte
in
z=
Therefore, we have
(x, y, z)=(3.0000,
83.6.1 Exercise
Gauss-Seidel iteration with
Start with (x, y, z) = (0, 0, 0). Use the convergent Jacobi i
Tol=10 to solve the following systems:
1.
5x-y+z = 10
2x-8y-z=11
-x+y+4z=3
iteration (x
Assi 2
Assi 3.
4.
x-5y-z=-8
4x-y- z=13
2x - y-6z=-2
4x y + z = 7
4x-8y + z = -21
-2x+ y +5z = 15
4x + y - z=13
2x - y-6z=-2
x-5y- z=-8
realme Shot on realme C30
2025.01.31 22:35
f
Use Pascal's triangle to expand the binomial
(6m+2)^2
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