Para un envase cerrado con forma de cilindro circular recto de volumen 16π. Pulg3, el costo del material para las tapas es de 2 centavos por pulg2 y el costo del material para la superficie lateral es de 1 centavo por pulg2. a) Si el radio de la base del cilindro mide X pulgadas, exprese el costo total del material en centavos como una función de X.

b)Cuál es el dominio de la función.

c)Utilice la gráfica para encontrar con una precisión de centésimos, el radio de la base para el cual el costo del material es el mínimo del material.​

Francis is getting new carpet tiles in his living room and den. his living room and den are connected. he needs to figure out how much carpet he needs and the cost involved. if each tile costs $2.00 per sq ft, how much would it cost to have new tile put in the den? a) $24 b) $36 c) $48 d) $54 plz awnser soon

You are in charge of the customer service phone line with many employees. at the end of each phone callthe customers are asked to rate their service from 1 to 5 stars, with 5 being the best. you find the averagerating for 20 randomly selected employees and decide you want to improve the ratings so you require thoseemployees to go through a new training program. you then wait a week and find the new average rating foreach employee. the average change is an increase in 1.3 stars with a standard devation of .9 stars.(a) is this data paired or not paired? (b) what are the null and alternative hypothesis being tested? (c) what is the t-statistic you would use? write the general formula and the final calculation.(d) sketch a t-distribution, label your t-statistic and the probability you would be interested in:

Acertain drug is made from only two ingredients: compound a and compound b. there are 3 millimeters of compound a used for every 4 millimeters of compound b. if a chemist wants to make 693 milliliters of the drug, how many milliliters of compound a are needed?