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Use the Upper and Lower Bounds Theorem to show that the real zeros of


(i) P (x) = 2x^3-7x^2+4x+4 lie between −4 and 2.


Number of Defective COVID-19 Rapid Antibody Test KitSuppose three test kits are tested at random. Let D represent the defective test kit and let N represent the non-defective test kit. If we let X be the random variable for the number of defective test kits, construct the probability distribution of the random variable X.


Use the Upper and Lower Bounds Theorem to show that the real zeros of



(i) P (x) = 7x^8-2x^5+x^2-2 lie between −1 and 1.


Find a polynomial, P(x), of degree 3 with zeros of 4,1 and −1, if P(0) = 8

This activity provides a hypothetical channel selection decision for the Pizza Galore chain. Assuming that Pizza Galore wanted to introduce a mini breakfast pizza (say with bacon and eggs), then which would be the best way for them to distribute it? Why would this be the best option?

It takes 22.53 mL of 0.1017 M NaOH solution to reach the endpoint when titrating a 25.00 mL sample of an H2SO4 solution. What is the molarity of the H2SO4 solution?


A 75 kg man is riding an escalator in a shopping mall.The escalator moves the man at a constant velocity from ground floor level to the floor above,a vertical height of 4.60m.What is work done by a,the gravitational force and b,by the escalator


elements to cater for the needs





of your learners.

A 50.32 gram sample of iron (with a heat capacity of 0.450 J/g ºC) is heated to 100.0 ºC. It is then transferred to a coffee cup calorimeter containing 45.07 g of water (specific heat of 4.184 J/ g ºC) initially at 20.63 ºC. If the final temperature of the system is 23.59, how much heat was absorbed by the calorimeter? Record your answer as a whole number (assume the sign is positive).



How much heat (in joules) is used to heat a 39.79 gram sample of iron from 9.23 degrees Celcius to 100.00 degrees Celcius if the specific heat of Fe is 0.450 j/g*C? Record your answer to 2 decimal spaces.


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