Two planes take off from an airport at the same time. The first plane averages 480 mph and flies on a bearing of N 20 ° E . The second plane averages 360 mph and heads out at a bearing of N 35 ° W . a. After 1.5 hr , how far apart are the two planes? Round to the nearest tenth of a mile. b. Find the bearing from the first plane to the second plane. Round to the nearest tenth of a degree.
Two planes take off from an airport at the same time. The first plane averages 480 mph and flies on a bearing of N 20 ° E . The second plane averages 360 mph and heads out at a bearing of N 35 ° W . a. After 1.5 hr , how far apart are the two planes? Round to the nearest tenth of a mile. b. Find the bearing from the first plane to the second plane. Round to the nearest tenth of a degree.
Solution Summary: The author calculates the distance between the two planes after 1.5h.
Two planes take off from an airport at the same time. The first plane averages
480
mph
and flies on a bearing of
N
20
°
E
. The second plane averages
360
mph
and heads out at a bearing of
N
35
°
W
.
a. After
1.5
hr
, how far apart are the two planes? Round to the nearest tenth of a mile.
b. Find the bearing from the first plane to the second plane. Round to the nearest tenth of a degree.
After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked,
its cork travels according to the function below, where s is its height (in feet) above the ground t seconds after being released.
s(t)=-16t² + 30t+3
a. How high will it go?
b. How long is it in the air?
+6x²+135x+1) (0≤x≤10). a) Find the number of units
The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x²+6x² + 135x+
that should be sold in order to maximize the total profit. b) What is the maximum profit?
The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated that the
population in the year 2000 was 22600.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer)
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