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1. Evaluate the following expression(show work) (2^-1x^4y^-3)^-2/(6x^2y^-1)^2 2. Simplify the expression to it's simplest terms(show work) {[-x+y+(-2y)] x [x-y]} / [(x-y)^2 + (x+y)^2] 3. Simplify the expression to it's simplest terms(show work) (x^3 + 4x^2y + 4xy^2 + 2xy - 6y^2) / (x+2y) 4. Factor the expression completely(show work) (a+b)^2 - (2b)^2 5. Factor the expression completely(show work) 6b^2 + ab -15a^2 6. Factor the expression completely(show work) 6a^2 - ab - 15b^2 7. Factor the expression completely(show work) 9a^4 - 7a^2b^2 - 50b^4
1. repeatedly 104 times simulate the standardised sum of independent and identically distributed variates x1 . . .
The annual demand for a certain item is N(300,22). Suppose the annual stock level is 300. If demand is less than 300, the annual holding cost of the leftover items is $65 per item. If the demand is greater than 300, then the loss of good will is $..
Describe the shape of the histogram. The probability that there are five first-shift workers. The probability that there are four second-shift workers.
a rancher has 450 ft. of fencing with which to enclose two corrals. The rancher wishes to contruct two corrals next to each other.
find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.
A patient is being treated with laser therapy to remove a tumour that is located behind a vital organ. The tumor is 5.7 cm below the skin. To avoid the organ, the entry point of the laser must be 12.4 cm above the tumour along the skin.
find the 90%coinfidence interval for the variance and standard deviation for the time it takes an inspector to check a bus for the safety if a sample of 27 buses ha standard deviation of 6.8 minutes. Assume the variable is nornmally distributed.
as the project manager of your company consider an investment that costs 100000 and has a cash inflow of 25000 every
find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 meter per hour.
The Bunny Number Oney rabbit farm noticed that the rate of increase in rabbits on the farm was directly proportional to the number of rabbits at the farm at any time t. It was further noticed that the number of rabbits increased from 200 to 400 in..
What number can be subtracted from both the numerator and the denominator of this fraction to produce the fraction on the right? 34/54 - x = 1/2
A rectangular pool 18 m by 11 m is being filled at the rate of .8m^3/min how fast is the height of the water rising?
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