A power station is on one side of a river that is one-half kilometer wide. A factory is 5 kilometers downstream on the other side of the river. It costs Php 100.00 per meter to run the power lines on the land and Php 150.00 per meter to run the underwater. Write the cost C of running the line from the power station to the factory as a function of x.

Q: Express the gross salary G of a person who earns $14 per hour as a function of the number x of hours…

A: Given: Earning per hour = $14       To determine: Gross salary as a function of the number of…

Q: Differentiate the functions.

A:

Q: Is the function even, odd, or neither?

A: From the graph of the given function, it is observed that the graph is symmetric about origin. Or it…

Q: A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr., stops 1…

A: Given : A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr.,…

Q: If the car is to be rented for one day, express the total rental expense as a function of the number…

A: Given that a car is rented for one day and is charged $0.45 per mile driven. If x miles are driven ,…

Q: The rental charge for a moving truck is $40 per day plus amileage charge of $0.80 per mile. Express…

A: The rental Charge for a moving truck is $40 per day Also Additional Mileage Charge of $0.80 per mile

Q: Is the type of function a constant function, identity function, reciprocal function, or a linear…

A: Solve the following

Q: A parachutist is falling with speed 176 ft/s when his parachute opens. If the Wv? lb, where W is the…

A:

Q: The daily rental charge for a moving truck is $40 plus amileage charge of $0.80 per mile. Express…

A: The fixed rental charge of the moving truck is $40 The mileage charge is $0.80 If the number of…

Q: is the function even, odd, or neither?

A:

Q: FX) = Secx

A: Given function to be differentiated is : F( X ) = sec X2 In order to differentiate above function,…

Q: A toy company can make a doll worth 55 pesos for christmas season. If the production manager plans…

A: We will solve the problem

Q: Explain how to approximate the change in a function ƒ when the independent variables change from (a,…

A: Concept:An independent variable is that one whose value does not dependent or vary on any other…

Q: Differentiate the function.

A:

Q: Differentiate the function.

A: Given:

Q: Differentiate the function x° y= 27

A: Given that

Q: How do you determine if an equation in x and y defines y as a function of x?

A: To Determine: If an equation in x and y defines y as a function of x. Explanation: If in any…

Q: Write a function rule for the total cost in dollars of gasoline if a gallons of gasoline for $3 per…

A:

Q: What are Linear Functions?

A: Linear functions:                                The functions whose graph is a straight line in an…

Q: Differentiate the function

A:

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: It costs $3 per hour to park in a parking lot, with a maximum cost of $12. Explain why the amount of…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: Differentiate the function y=1lnx.

A: Given function is y=1·lnx We know that any number multiply with 1 gives same number. So, function is…

Q: What is the slope of the identity function?

A: The identity function is a special type of linear function

Q: Find the Difference Quotient of a Function

A: The difference quotient of the function f(x) is given as follows: f(x+h)-f(x)h Steps to find…

Q: write an equationfor the function having the given characteristics The shape of f (x) = ex, but…

A: Given :- The required function has the shape of f (x) = ex, but shifted two units to the left andsix…

Q: A rectangular plot of ground is to be enclosed by a fence and then divided down the middle by…

A: Given:length of the force down the middle=x feetcost of the fence down th middle=php 36.00 per foot…

Q: The height of a right triangle is 44 feet more than three times the length of its base. Express the…

A:

Q: Plot the fallawinet function:-

A:

Q: 3. A toy company can make a doll worth Php55 for the Christmas season. If the production manager…

A: Given query is to find the profit function p(x) .

Q: anita is on a competetive rowing team . after 2 minutes the team rows at a constant speed of 4…

A: By making differential equation between distance and time

Q: A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an…

A:

Q: A company pays $20 per hour for up to 8 hours of work, and $30 per hour for overtime hours (hours…

A:

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure…

A: Width of aluminium sheet is 20 inches The edges are turned from both sides by x inches. The cross…

Q: The cost to fence in a backyard is $1000 for an area less than or equal to 100 m2. An area greater…

A: Cost function = Average cost / Area

Q: is the function odd, even, or neither?

A:

Q: Draw the function!- メ+ー

A: Graph the function y=x+1

Q: rectangular plot of ground is to be enclosed by a fence and then divided down the middle by another…

A:

Q: A farmer wishes to build a divided pasture adjacent to the river, as shown in the diagram.…

A: Let y be the side of the fence that is parallel to the border of the river side and x be the length…

Q: Part of a model used by a state government indicates that revenue R varies inversely with the…

A:

Q: The usual boat fare rate from Boracay to Private Island (which is a 4-km ride) is USD 6.0 So, if a…

A:

Q: mr. Otik was charged php 350 monthly for a certain mobile plan which includes 300 text messages.…

A: Introduction: When a function is defined interval wise, it is referred to as a piecewise function.…

Q: Which type of function best models the area of the garden as a function of the width?

A:

Q: What is meant by linear function in reference to algebra?

A:

Q: Is the function one-to-one?

A:

Q: Write a function rule for the total cost in dollars of gasoline if y gallons of gasoline for $4 per…

A: The y gallons of gasoline for $4 per gallon

Q: Use function notation to represent that your annual salary after working five years at your job is…

A: We will find the required function as following.

Q: Differentiate the function. y= xx

A: Differentiation: y=xxTaking log on both sides we get,ln y=ln(xx)ln y=x ln(x)