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).
Determine whether the lines
L₁ (t) = (-2,3, −1)t + (0,2,-3) and
L2 p(s) = (2, −3, 1)s + (-10, 17, -8)
intersect. If they do, find the point of intersection.
Convert the line given by the parametric equations y(t)
Enter the symmetric equations in alphabetic order.
(x(t)
= -4+6t
= 3-t
(z(t)
=
5-7t
to symmetric equations.
Find the point at which the line (t) = (4, -5,-4)+t(-2, -1,5) intersects the xy plane.
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