In the following diagram, S represents the position of a power relay station located on a straight coast, and Eshows the location of a marine biology experimental station on an island. A cable is to be laid connecting the relay station with the experimental station. If the cost of running the cable on land is $1.50/running foot and the cost of running the cable under water is $2.40/running foot, locate the point P that will result in a minimum cost (solve for x in ft). (Round your answer to the nearest whole number.) x= ____ ft

Q: An island is located 3 miles off the shore of the mainland. A fiber optic cable is to be built…

A: An island is located 3 miles off the shore of the mainland. A fiber optic cable is to be built…

Q: Kathy puts $3000 into an account that pays 5% simple interest annually. a) Create a linear model to…

A: Principal , P = $3000 Rate , R = 5% Simple interest in , t , years equals  SI = (P * R * T)/ 100…

Q: 6. Find the two sets of coordinates of the intersection of the straight line with y h and the circle…

A:

Q: Consider the Honduran market for soybeans. The following graph shows the domestic demand and…

A: Total Surplus s2  TS =CS+PS = [0.5*125*(380-305)] + [0.5*125*(305-230)] = 4687.5+4687.5 = 9375

Q: The depth at which whales dive, y, in feet, as related to the duration of the dive, t, in seconds,…

A: GivenThe depth at which whales dive is "y" in feetthe duration of the dive is "t" in secondsLinear…

Q: The following computer output shows an estimated equation. Here; W: Weekly wage. MALE: Gender, takes…

A: a) From the given output the estimated wag model is given as  Weekly wage = 508.8 + 486.3 Male +…

Q: A consumer has a monthly income of $100 that he wants to spend on two goods: rugs priced at $10 and…

A: Graphically, a linear function representing the relationship between an independent variable let's…

Q: is 8 mi from a power station. A util underwater from the island to the shore to the power station.…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: the cost of college(not adjusted for inflation) is given in the following table: a.)Write the…

A: Here we have to use the given data points to solve the given sub-parts problem

Q: Two freight trains are traveling to Columbus, Ohio, A graph is shown representing each trains…

A:

Q: 1. Suppose that an electricity bill functions similarly to the summer rates in M.2 but we don’t know…

A: Given Information -  Nate’s bill for 1417 kWh in June was $165.15, and it was $202.24 in July for…

Q: Monica drives to work each day from point Point C A to point C. The following sketch shows the two…

A:

Q: 42.) You can use a linear model to represent the relationship between the hours worked, h, and the…

A:

Q: Examine the possible linear relationship between the weekly hours of use (x) for a certain type of…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   Given : X-bar =…

Q: Question 5 Suppose that you want to create a rectangular animal enclosure using 80 linear feet of…

A:

Q: A plant can manufacture 40 tennis racket per day for a total daily cost of $3,500 and 22 tennis…

A: Given: A plant can manufacture 40 tennis racket per day for a total daily cost of $3,500 and 22…

Q: A manufacturer has a fixed cost of $10,000. If it costs the company $17,515 to produce 45 units, how…

A: Consider the given information areFixed cost = 10,000$Cost of the 45 units = 17,515$cost function is…

Q: 9. Jesse makes $150 more per week than Ethan. a. Write a model for Jesse's salary J in terms of…

A: Definition used -              Mathematical model -               We can write a relation between…

Q: Units Produced, x 0 20 40 60 80 100 Cost in Dollars, y 200 208 222 230 242 250   (b) Derive an…

A:

Q: 50 3.25 3.5 3.75 4. 4.25 4.5 4.75 Price ($) a) The line of best fit passes through the points (3.50,…

A: let the given points  passes through would be (x 1 , Y1) = (3.50,160)  and (x 2 , Y 2 )=(4.75,150).…

Q: The following table shows the expenses and income for a local college student.  Assume that amounts…

A:

Q: 4) State whether a quadratic model or a linear model would be the better fit for this data.…

A: Given the given table is

Q: A tortoise challenged a hare to a 100-meter race on a track. The tortoise negotiated a 50-meter head…

A: As you didn't mention any question, we'll answer the first three subparts of this question as per…

Q: 4. The demand for airline travel is quite sensitive to price. Typically, there is an inverse…

A: we have given that for price $600 demand is 500 and when price drop to $400 then demand is 1200…

Q: The calculation it takes to make a straight line will depend on the relationship the original graph…

A: The objective is to choose the correct option that needs to placed on horizontal axis in order to…

Q: A department store's annual sales (in millions of dollars) during the past 5 years were. Year, x 1 2…

A: Tabulate the given information as follows, x 1 2 3 4 5 y 5.8 6.2 7.2 8.4 9.0  Plot the…

Q: Given the point A(1,3) and the line 5y+ x = -10, determine the shortest distance between the point…

A:

Q: salesman at a furniture store that is costs $4400 to produce 10 tables and $9600 to produce 300…

A:

Q: The graph below gives the number of millions of persons who took trips of 50 miles or more for the…

A: The given data,YearNumber of millions of…