Find the angle between v and w. Round to one decimal place, if necessary.v = 3i + 2j + k and w = 4i + 5j + 2k
A. 73°
B. 66.7°
C. 75.2°
D. 17°
Answer: D
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Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse with vertices (0, ±7) and foci (0, ±3)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Find the foci and asymptotes of the hyperbola.
- 
= 1
A. (-15, 0), (15, 0); y = 
x, y = - 
x
B. (0, -25), (0, 25); y = 
x, y = - 
x
C. (0, -15), (0, 15); y = 
x, y = - 
x
D. (-25, 0), (25, 0); y = 
x, y = - 
x
Given a group of students: 
or 
count the different ways of choosing the following officers or representatives for student congress. Assume that no one can hold more than one office.A president, a secretary, and a treasurer, if the president must be a woman and the other two must be men
A. 3 B. 4 C. 12 D. 6
As part of a patient monitoring system in a local hospital, the computer (a) constantly monitors the patient's pulse and respiration rate; (b) sounds an alarm if the rates fall outside a preset range; and (c) notifies the nearest nursing station if either or both of its systems fail to function properly. ? The computer's capabilities are suited to these tasks because the tasks call for __________ (repetition, speed, program modification, tutorial)
Fill in the blank(s) with the appropriate word(s).