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Consider plane P:3x+2y-4z=8
a) Find the equation of a plane Q that is perpendicular to P, and Q contains (-2,3,1) and (1,2,3)
b) Find the equation of the sphere centered at (1,2,3) tangent to P.
-What is the probability that demand will exceed 1000 pounds?
hugh and janet are dining out at a cafe that has on its menu 6 entrees 5 salads and 10 desserts. they decide thy will
Each of the letters in the word MENDOCINA is written on a card, and the cards are mixed thoroughly. You draw one card and replace it. You draw a second card. find the probability that the first card is E and the second card is N.
Which set of vertices represents a square?
Temperature units use the Celsius scale and the Kelvin scale. Describe both scales and discuss the differences between the two and the conversion process. What would be the boiling point of water at 1 atmosphere? Explain how you arrived at the ans..
The volume of a cone varies jointly as the height and the square of the radius of the base. A cone height 8 cm and a base of diameter 9 cm has volume 54π. Find the constant of variation and use it to develop the general formula for the volume of a..
A light-year is a measure of length equal to the distance that light travels in 1 year. Compute the conversion factor between light-years and meters, and find the distance to the star Proxima Centauri 4 1016 m in light-years.
Write 230,000,000,000 in scientific notation.
What proportion of the company's callers are put on hold for at least 4.8 minutes? Should the company hire more operators?
Let G be the set of the fifth roots of unity. Use de Moivre's formula to verify that the fifth roots of unity form a group under complex multiplication, showing all work. Prove that G is isomorphic to Z5 under addition by doing the following: State e..
a theater has 30 seats in the first row, 32 seats in the second row, increasing by 2 seats per row for a total of 26 rows. How many seats are there in the theater?
the perimeter of the basketball court is 114 meters. If the length is 6 more than 2 times the width, what is the width and length?
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