in Find a function that models the area A of an equilateral triangle in terms of the 7. Area length x of one of its sides.

Q: A poster is 10 in. longer than it is wide. Find a function that models its area, A, in terms of its…

A: Let the length be l inch and the width be w inch.The length of the poster is 10 inches longer than…

Q: heed to match the araph of Function With the araph of its derivatve s

A: For any given function f(x). Let say f(x) = csc(x) , x = -π,π In the domain, where the f(x) is…

Q: A particular kind of sand makes a cone shaped pile where the radius is 1.5 times the height.  Write…

A: The solution is given below.

Q: Answer the following questions on a piece of paper. When you are done, take a picture using…

A:

Q: I am participating in a 12-week diet challenge where the goal is to reduce my average daily calories…

A: Given The target daily calorie intake after x weeks of participating in the program can be  modeled…

Q: The area of an equilateral triangle with sides of length x is given by the function √3 defined by…

A:

Q: In this problem you are asked to find a function that models a real-life situation and then use the…

A: Given: a)   Let the dimensions of the field be L and W.  suppose the three dividing fences are…

Q: An employee at a garden center fills a water tank once a day around noon to a height of 20 inches.…

A: 1. An employee at a garden center fills a water tank once a day around noon to a height of 20…

Q: What is the purpo

A: To determine: Purpose on adding h to the function.

Q: A culture of bacteria starts with 8,600 bacteria. The number of bacteria triples every 5 hours.…

A:

Q: It has been shown that the height of an adult can be accurately predicted by the length of…

A: (b) Consider the given function to predict the height of a person.Rearrange the constant in terms of…

Q: An object falls from a height of 256 feet. a. What does the function h(t) = -16t² + 256 represent in…

A: Given query is to find the meaning of the expression and time taken by the object to hit the ground.

Q: If 1200 square centimeters of material is available to make a box with a square base and an open…

A:

Q: A daycare center has 30 ft of dividers with which to enclose a rectangular play space in a corner of…

A:

Q: It has been shown that the height of an adult can be accurately predicted by the length of their…

A: Given: The height of a person is given by h(x)= 39 + 2.7x

Q: A wire 10 meters long is to be cut into two pieces. One piece will be shaped as a square, and the…

A:

Q: The perimeter of a rectangle is 190 meters. Express the area A as a function of the length L, and…

A: The solution is given as

Q: In the problem you are asked to find a function that models a real life situation. Use the…

A: Given, The height of a cylinder is four times its radius. To find a function that models the volume…

Q: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached at the…

A: Given: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached…

Q: Express the area and circumference of a circle as functions of the circle’s radius. Then express the…

A: Suppose that the radius of the circle is r then

Q: An open-top box is formed by cutting squares of the corners out of a 5 inch by 7 inch piece of paper…

A: Polynomial.

Q: A bicycle with a stone stuck in the tread of one of its tires is pushed along the street. The…

A: The given graph is: Find the diameter of the bicycle tire.

Q: Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area…

A: Assume that the length of the rectangular area be x ft and the width be y ft. Therefore, the area of…

Q: A bacteria culture starts with 20000 bacteria, and the number doubles every 50 minutes. a. Find a…

A:

Q: An influenzae virus triples in size every 50 hours. A sample taken from the door knob initially…

A: a) The function would be of form A(t)=abt Initially 1250 viral particles means,   A(0)=ab01250=a…

Q: In the problem you are asked to find a function that models a real life situation. Use the…

A:

Q: A company produces bookcases. The average cost to produce x bookcases can be modeled by the function…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Name three issues that arise when functions are graphed using a calculator or computer with graphing…

A: Name three issues that arise when functions are graphed using a calculator or computer with graphing…

Q: The life expectancy at birth of both sexes in a particular year can be described by the function…

A: Given query is to find the life expectancy in 2044.

Q: Name several of the concepts you have learned that are useful for analyzing the graph of a function.

A: There are many concepts have to analysed the graph of function. The vertical line test, domain and…

Q: Consider the following problem: A box with an open top is to be constructed from a square piece of…

A: Consider the following problem: A box with an open top is to be constructed from a square piece of…

Q: A bookworm is crawling around on a piece of graph paper, as shown above. If we wished to determine…

A: A function is a relation between two quantities x and y(x) among which one quantity depends on the…

Q: A rectangular schoolyard is to be fenced in using the wall of the school for one side and 150 meters…

A: Hello learner, I can answer the first question as per the guidelines. Please resubmit the other…

Q: Now that you have deeper understanding of the topic, you are ready to solve the problems below. Let…

A: Given that: Students record the diameter of a lids and circumference.

Q: The musical note E can be modeled by the function, y = asin(1320πx), where a = 1 and x is the time…

A: Note that the loudness of sound is directly proportional to the square of the amplitude.

Q: A popular model of carry-on luggage has a length that is 10 inches greater than its depth. Airline…

A: A popular model of carry-on luggage has a length that is 10 inches greater than its depth. Airline…

Q: The life expectancy at birth of both sexes in a particular year can be described by the function…

A: NOTE: Refresh your page if you can't see any equations. . where x= number of years after 1900

Q: hit

A: Given,  h(d)=-1/125d^2+d where, Horizontal distance is d. Height is h.

Q: The top and bottom margins of a poster are 6 ft and the side margins are each 4 ft. If the area of…

A:

Q: Express the function by a formula: 1. The length D of an edge of a cube as a function of the surface…

A:

Q: The figure to the right shows an open box with a square base. The box is to have a volume of 12…

A: From the above figure,the volume of the box=12⇒length×width×height=x2y=12⇒y=12x2…

Q: Plot the function and indicate its domain. See attached problem.

A:

Q: 1) Explain how to identify and graph linear and squaring Functions?

A: Definition used -  Linear function -       When the degree of the polynomial is 1, the function is a…

Q: The average depth of snow, in centimeters, on Alison's driveway one morning can be modeled by a…

A:

Q: In this problem you are asked to find a function that models a real-life situation and then use the…

A:

Q: An open box with a square base is to be made from a square piece of cardboard 21 inches on a side by…

A:

Q: 1) Explain why we can think of the beaver population as a function of time in years. 2) What is the…

A: Consider the given graph. Let t denotes the time in years and P denotes the number of beavers. In…

Q: What do you mean by even and odd function? Give two examples and show by calculation that those are…

A: f is an Even Function if f(x)=f(-x) g is an odd Function if g(-x)=-g(x)

Q: The following question does not involve calculus. The page layout of a new mathematics book is being…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.