Use the chain rule to find dy/dx for th following : y= (7x^2-5)^9

A lake has two species of fish: bass and catfish. The number of bass and catfish living in the lake, B and C respectively, depend on the temperature of the lake, T (in degrees Farenheit). The functions modeling this dependency are given below: B(T) = 8T2 + 976T – 28890 С(Т) 3D — 2T?+244T — 6893 What are the two temperatures at which the number of bass in the lake is the same as the number of catfish? Enter exact expressions or round your answers to the nearest thousandth. T : T

Use your knowledge of pie charts to answer the following questions. Step 1 of 2: The total of all the frequencies in a frequency table is 466. If a section in a pie chart corresponds to an item with a frequency of 101, what is the size of the angle of the corresponding circular wedge? Round your answer to the nearest degree.

The manager of a hockey arena is pricing tickets for an upcoming game. She knows that if she increases the ticket price she will sell fewer tickets. The situation is modelled by the relation, R = -88.9p^2 + 2667p, where R is the total revenue and p is the ticket price, both in dollars. The graph is given.

Suppose Var(X) = 36, Var(Y) = 42, and X and Y are independent. What is Var(.25X + .75Y)?    Suppose Var(X) = 63, Var(Y) = 87, and X and Y are independent. What is Var(.79X + .21Y)?    Suppose that Var(X) = 907.96, Var(X) = 10219.44, and Cov(X,Y) = 2694.59. What is Var(.33X + .67Y)?

A potential customer has described the following scenario to you:We need to keep track of the data that our manufacturing firm needs to run smoothly.We make a number of products, each of which is manufactured by a different de-partment. Products are made up of a number of parts. Parts are bought fromsuppliers.You have been asked to perform a preliminary analysis of the scenario:a) Identify four sets of values from the scenario. b) Identify three relations from the scenario. c) Draw an entity-relationship diagram to visualise the sets and relations you have identi-fied. d) Use the relations you identified in part b) to define the following:i) A relation that records the parts that a department needs. ii) A relation that records the suppliers that a department deals with

An increase in meat prices coincides with an increase in rainfall is an associative relationship the statement above is true/false?

In October 2015, amid rising fears about the security of credit card transactions, financial institutions and businesses made the transition to using chip cards. Unlike the quick swipe of a magnetic stripe on the back of traditional credit and debit cards, chip cards have to be left inside the terminal while the embedded chip verifies the transaction. While there is no consistent method for measuring transaction speed, news agencies report average chip speeds of anywhere from 8 seconds to 13 seconds. The switch to chip readers was precarious, with many businesses taping over the chip card slots in the terminals until the kinks were worked out. Even after a year, some businesses still could not process chips and continued to utilize the magnetic stripe for transactions. Financial institutions thought the additional security benefits of the chips would overshadow the added wait times. Yet a survey conducted by Harbortouch, a leading point-of-sale company, in 2016 showed that nearly four…

Consider the following frequency distribution. Class Frequency 10-19 11 20-29 13 30-39 17 40-49 50-59 2 Construct a cumulative frequency distribution and a cumulative relative frequency distribut Cumulative Cumulative Relative Class Frequency Frequency less than or equal to 19 less than or equal to 29 less than or equal to 39 less than or equal to 49 less than or equal to 59 Need Help? Read It Watch It

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