As illustrated in the accompanying figure, suppose that two transmitting stations are positioned 100 km apart at points F 1 50 , 0 and F 2 − 50 , 0 on a straight shoreline in an x y -coordinate system. Suppose also that a ship is traveling parallel to the shoreline but 200 km at sea. Find the coordinates of the ship if the stations transmit a pulse simultaneously, but the pulse from station F 1 is received by the ship 100 microseconds sooner than the pulse from station F 2 . [Assume that the pulses travel at the speed of light 299 , 792 , 458 m / s . ]
As illustrated in the accompanying figure, suppose that two transmitting stations are positioned 100 km apart at points F 1 50 , 0 and F 2 − 50 , 0 on a straight shoreline in an x y -coordinate system. Suppose also that a ship is traveling parallel to the shoreline but 200 km at sea. Find the coordinates of the ship if the stations transmit a pulse simultaneously, but the pulse from station F 1 is received by the ship 100 microseconds sooner than the pulse from station F 2 . [Assume that the pulses travel at the speed of light 299 , 792 , 458 m / s . ]
As illustrated in the accompanying figure, suppose that two transmitting stations are positioned 100 km apart at points
F
1
50
,
0
and
F
2
−
50
,
0
on a straight shoreline in an
x
y
-coordinate
system. Suppose also that a ship is traveling parallel to the shoreline but 200 km at sea. Find the coordinates of the ship if the stations transmit a pulse simultaneously, but the pulse from station
F
1
is received by the ship 100 microseconds sooner than the pulse from station
F
2
.
[Assume that the pulses travel at the speed of light
299
,
792
,
458
m
/
s
.
]
A stationary submarine is 2 km due south of a ship which is steaming due
east at a speed of 20 km/h. In what direction, assumed constant, must
the submarine fire a torpedo to hit the ship if the speed of the torpedo is
40 km/h?
The line in R° that is parallel to the y-axis and passes through the point (1, 2, 3) has equation
+ t
Four galaxies with their distances in light-years and velocities in miles per second are listed in the table. Complete the parts (a)-(c).
Distance
Velocity
Galaxy
Galaxy I
Galaxy II
Galaxy II
Galaxy IV
50
990
9,300
16,000
650
950
1700
25,000
(a) Let x be distance and y velocity. Plot the points in [- 100, 1800,100] by [- 1000, 28000, 1000). Choose the correct graph below.
OA.
ов.
Oc.
(b) Find the least-squares regression line.
The least-squares regression line is y = x+
(Round to three decimal places as needed.)
(c) If Galaxy V is receding at a speed of 36,500 miles per second, estimate its distance.
If Galaxy V is receding at a speed of 36,500 miles per second, then its distance is about
light-years.
(Round to the nearest integer as needed.)
Precalculus: Mathematics for Calculus (Standalone Book)
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