John owns a clothing store that sells shorts and graphic t-shirts. he sells the shorts for $12 each and t-shirts for $5 each. he is limited to the constraints shown by the set of inequalities below. which of the points (s, t) will maximize john's revenue? show all work to get full credit! ( start by finding the profit function) s< 10 - 0.5t s> 5-t s< 20-t s> 0 t> 0

If point cis between points a and b, then ac + — = ab

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.

How would you describe the difference between the graphs of f(x) = 2x2 and g(x) = -2x2?