Let 
and 
.
?
Solve the equation.
?
?
A. 
B. 
C. 
D. 
E. 
Answer: A
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The following table shows the amount remaining, in grams, of a radioactive substance after t years.
05101520
500429.37368.71316.63271.9?
A. Calculate the average rate of change in amount of radioactive substance from 
to 
. (Be sure to get the sign right.)B. Explain in practical terms the meaning of the number you calculated in part A.C. Use your answer from part A to estimate the amount remaining after 13 years.D. What is the limiting value of amount remaining of this (or any other) radioactive substance?
What will be an ideal response?
Find the mode or modes (if any).In a mathematics class, the following quiz scores were recorded for a student: 99, 25, 99, 13, 25, 29, 56, 99.
A. 55.6 B. 99 C. 42.5 D. no mode
Find all the complex roots. Leave your answers in polar form with the argument in degrees.The complex fourth roots of -16
A.
| 16(cos 45° + i sin 45°), 16(cos 135° + i sin 135°), 16(cos 225° + i sin 225°), 16(cos 315° + i sin 315°) |
B. 2(cos 45° + i sin 45°), 2(cos 135° + i sin 135°), 2(cos 225° + i sin 225°), 16(cos 315° + i sin 315°)
C.
(cos 45° + i sin 45°), 
(cos 135° + i sin 135°), 
(cos 225° + i sin 225°), 
(cos 315° + i sin 315°)D. 2(cos 90° + i sin 90°), 2(cos 180° + i sin 180°), 2(cos 270° + i sin 270°), 2(cos 360° + i sin 360°)
Determine if the matrix is in row-echelon form.
A. Yes B. No