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2. Find the greatest common factor for the following list of terms.
20x6, 70x7
3. Factor by grouping.
x6 – 7x4 + 11x2 –77
6. Factor completely 4u2 – v2.
8. Factor completely.
64s3 – t3
10. Factor completely.
x2 –7x –60
11. Factor completely.
28y2 + 11y – 30
12. Factor completely.
7x2 + 7x – 14
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
A norman window has the shape of a rectangle surmounted by a semicircle as shown in figure to the left. A Norman window with perimeter 30 ft is to be constructed.
A suburban hotel derives its gross income from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant.
How many six-digit even numbers less than 200,000 can be formed using all the digits 1, 1, 2, 2, 3 and 5? How many permutations of the letters in the name ABBA are there?
for the set belowa determine the list-squares regression lineb graph the least-squares regression line on the scatter
A 1.50 103 kg car starts from rest and accelerates uniformly to 19.4 m/s in 12.7 s. Assume that air resistance remains constant at 400 N during this time.
Calculate an exponentially smoothed forecast, using an alpha value of .30.
The minute hand on a watch is 9 mm long and the hour hand is 5 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
suppose that the cost function in exercise 45 is C(x) = -2.5x+1, where z is the index-fund fee. (the company has a fixed cost of $1 billion dollars, and the cost decreases as a function of the index-fund fee.) find the value of x that maximizes pr..
Give an example of an exponential function. Find this exponential function's inverse, which will be a logarithmic function. Plot the graph of both the functions.
How many trees are there in the world? The course I am doing is discrete mathematics.
evaluate approximately the ratio of the mass of the sun to that of the earth. lunar month 27.3 days, mean radii of the earth's orbit 149000000 km and that of moon's orbit 380000 km.
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