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1. Find the direction angles of the vector: 2i-2j-42√k.
2. Find all numbers x for which the angle between c = 3xi + 3j + 3k and d = 3i + 3xj + 3k is π3.3.Find α given that ?αi+(α-1)j+(α+1)k?=5.
4.Find α given that 5i+6j-2k and αi-24j+8k are parallel.
Probability questions with cards and unbiased dice, Suppose that you select two cards without replacement from an ordinary deck of playing cards.
When a column is complete, use the numbers at the top of the next right column and proceed down that column.
find the quadratic equation that represents the monthly value of a share of ACME Corporation since January 2009. Use the variable x to represent the number of months after January 2009 and the variable y to represent the monthly value.
Suppose that a license plate must contain a sequence of two-letters followed by four-digits, or three-letters followed by three-digits.
A 26 foot is placed against a vertical wall of a building with the botton of the ladder standing on level ground 10 feet from the base of the building. how high up the wall does the ladder reach.
A glass box measures 7 X 12 X 18 cm and is closed on all six sides. It is partially filled with colored water. When the box is placed on one of its 7 X 12 sides, the water level is 15 cm above the table. If the box is placed on one of its 7 X 18 s..
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
The Dolphins football team gained 16 yards on their first play then lost 11 yards on the next play. Write an addition expression to represent this situation. Find the sum an explain its meaning.
Probability of Lamp Failure, A lamp has two bulbs, each of a type with an average lifetime of 6 hours. The probability density function for the lifetime of a bulb
A group of ducks and cows are in a field. They have a total of 65 heads and 226 legs. How many ducks are in the field?
Probability Slips of paper marked with the numbers 1,2,3,4, and 5 are placed in a box. After mixing well, two slips are drawn.
Does the value of the sample linear correlation coefficient, r, indicate that there is a linear dependency between the two variables in the population from which the sample was drawn?
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