Use a calculator with on y x key to solve Exercises 71-76. The bar graph shows the percentage of U.S. high school seniors who applied to more than three colleges for selected years from 1980 through 2013. The data can he modeled by f ( x ) = x + 31 and g ( x ) = 32 ⋅ 7 e 0 ⋅ 0217 x , in which f(x) and g(x) represent the percentage of high school seniors who applied to more than three colleges x years after 1980. Use these functions to solve Exercises 71-72. Where necessary, round answers to the nearest percent. In college, we study large volumes of information -information that, unfortunately, we do not often retain for very long. The function f ( x ) = 80 e − 0.5 x + 20 describes the percentage of information, f ( x ), that a particular person remembers x weeks after learning the information. a. Substitute 0 for x and, without using a calculator, find the percentage of information remembered at the moment it is first fearned. b. Substitute 1 for x and find the percentage of information that is remembered after 1 week. c. Find the percentage of information that is remembered after 4 weeks. d. Find the percentage of information that is remembered after one year (52 weeks).
Use a calculator with on y x key to solve Exercises 71-76. The bar graph shows the percentage of U.S. high school seniors who applied to more than three colleges for selected years from 1980 through 2013. The data can he modeled by f ( x ) = x + 31 and g ( x ) = 32 ⋅ 7 e 0 ⋅ 0217 x , in which f(x) and g(x) represent the percentage of high school seniors who applied to more than three colleges x years after 1980. Use these functions to solve Exercises 71-72. Where necessary, round answers to the nearest percent. In college, we study large volumes of information -information that, unfortunately, we do not often retain for very long. The function f ( x ) = 80 e − 0.5 x + 20 describes the percentage of information, f ( x ), that a particular person remembers x weeks after learning the information. a. Substitute 0 for x and, without using a calculator, find the percentage of information remembered at the moment it is first fearned. b. Substitute 1 for x and find the percentage of information that is remembered after 1 week. c. Find the percentage of information that is remembered after 4 weeks. d. Find the percentage of information that is remembered after one year (52 weeks).
Solution Summary: The author calculates the percentage of information remembered by a person after x weeks of learning.
Use a calculator with on
y
x
key to solve Exercises 71-76.
The bar graph shows the percentage of U.S. high school seniors who applied to more than three colleges for selected years from 1980 through 2013.
The data can he modeled by
f
(
x
)
=
x
+
31
and
g
(
x
)
=
32
⋅
7
e
0
⋅
0217
x
,
in which f(x) and g(x) represent the percentage of high school seniors who applied to more than three colleges x years after 1980. Use these functions to solve Exercises 71-72. Where necessary, round answers to the nearest percent.
In college, we study large volumes of information -information that, unfortunately, we do not often retain for
very long. The function
f
(
x
)
=
80
e
−
0.5
x
+
20
describes the percentage of information, f (x ), that a particular person remembers x weeks after learning the information.
a. Substitute 0 for x and, without using a calculator, find the percentage of information remembered at the moment it is first fearned.
b. Substitute 1 for x and find the percentage of information that is remembered after 1 week.
c. Find the percentage of information that is remembered after 4 weeks.
d. Find the percentage of information that is remembered after one year (52 weeks).
An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west
at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane?
428 mph
41°
50 mph
a. The ground speed of the airplane is
b. The bearing of the airplane is
mph.
south of west.
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
a. The resultant force is
(Tip: omit degree notations from your answers; e.g. enter cos(45) instead of cos(45°))
b. It's magnitude is
lb.
c. It's angle from the positive x-axis is
Find a plane containing the point (3, -3, 1) and the line of intersection of the planes 2x + 3y - 3z = 14
and -3x - y + z = −21.
The equation of the plane is:
Chapter 3 Solutions
Precalculus, Books A La Carte Edition Plus MyLab Math with eText -- Access Card Package (6th Edition)
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