Solve the problem.A pendulum swings through an arc of 140 centimeters. On each successive swing, the length of the arc is
of the length of the previous length. Find the total distance the pendulum travels before it comes to rest.
A. 185 cm
B. 470 cm
C. 210 cm
D. 420 cm
Answer: D
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Solve the problem.Let D be the smaller cap cut from a solid ball of radius 10 units by a plane 4 units from the center of the sphere. Set up the triple integral for the volume of D in spherical coordinates.
A.
B.
C.
D.
The height h, in feet, of a cannonball x feet downrange is given by
.
?
A: Plot the graph of the flight of the cannonball. Use a horizontal span of 0 to 2,000.B: Use the calculator to estimate the value of
at 1,595 feet downrange. Round your answer to two decimal places.C: Explain in practical terms what the number you found in part B tells us. Round your answer to two decimal places.
What will be an ideal response?
Solve the problem.Construct a possibility tree that shows all possible 3-letter code words using only the letters p, q, and r without repetition.
A.
B.
C.
D.
Solve the problem.If a rock falls from a height of 70 meters above the ground, the height H (in meters) after x seconds can be approximated using the formula H = 70 - 4.9x2. What is the height of the rock after 2 seconds?
A. 60.2 m B. 260.4 m C. -26.04 m D. 50.4 m