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Find the standard equation of a parabola with vertex at (5,1) passing through the point (10,-4). Remember to write your answers as exact numbers (fractions), rather than a decimal approximation.
Find the standard equation of a parabola with vertex at (-7,4) passing through the point (-10,-1). Remember to write your answers as exact numbers (fractions), rather than a decimal approximation.
Find the standard equation of a parabola with zeros at x=-1 and x=4 passing through the point (1,-5). Remember to write your answers as exact numbers (fractions), rather than a decimal approximation.
a rod of 5m long leans against a vertical wall and its upper end is 4m above the ground. If the upper end of the rod slides down by 1.2m, how far will the lower end of the rod move?
a survey of 24 college students 17 students were in math, 16 were in english and 10 were in both english and math. How many students were in math?
Should the computer center purchase the new computers? (Normal Distribution)
The trigonometric function to find exact value.
What is the trial form for the particular solution of y''+9y=2sin(3x)-1? State the trial form only. you don't need to solve it.
compare and contrast the gaussian elimination method with the gauss-jordan method of solving a system of linear
An airplane is flying on a bearing of 265 degrees at 420 kmph. A wind is blowing with a bearing of 170 degrees at 20 mph. Find the actual speed and direction of the plane.
For the following set, which number has the largest absolute value?
If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute.
A 180 lb man carries a 20 lb can of paint up a helical staircase that encircles a silo with radius 20 ft. If the silo is 160 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing ..
A heavy rope, 30 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 70 ft high. How much work W is done in pulling half the rope to the top of the building?
1. A random number generator selects a sequence of 20 digits from {0, 1, . . . , 9}. What is the probability [2] that the sequence contains at least one 3? (Hint: consider the probability that the sequence contains no 3's.)
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