The temperature of a chemical solution is originally 21∘C21∘C21, degrees, start text, C, end text. A chemist heats the solution at a constant rate, and the temperature of the solution is 75∘C75∘C75, degrees, start text, C, end text after 121212 minutes of heating. The temperature, TTT, of the solution in ∘C∘Cdegrees, start text, C, end text is a function of xxx, the heating time in minutes. Write the function's formula. T=

Q: A certain airine company is offering a promotion for a year, where you pay a one-time fee of $5000,…

A: We will use simple formula for average

Q: On a certain route, an airline carries 9000 passengers per month, each paying $150. A market survey…

A: Given 9000 passengers per month @ $ 150 per monthEach $ 1 decrese in the ticket price , the…

Q: company models it’s net income, in thousands of dollars, with the function f(x) = 9x^2-54-144, where…

A: Given query is to find the value of x where f(x) is zero.

Q: 7) Give an example of an equation for a single function whose domain contains 2, whose domain does…

A: Represent the required function as f(x). Observe carefully, the assumed domain and range for the…

Q: A company's cost is given by the function C(x)=3.4x+18625 and their revenue is given by the function…

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

Q: Composition of functions problem

A: Since the question contains multiple subparts and you have specifically asked for the solution for…

Q: 8. A taxi ride costs P40.00 for the first 500 meters, and each additional 300 meters (or a fraction…

A:

Q: A tank has 14 gallons of water in it when water begins draining from the tank. (Recall that water…

A: We are given, total amount of water present in tank initially was 14 gallons.  We have to find out…

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A:

Q: Could someone please explain these processes to me please?

A: Given:

Q: x2 + 4х + 3 23. у %3

A:

Q: A rectangular garden with an area of 36 square meters has length { meters and width w meters.…

A:

Q: On a certain route, an airline carries 7000 passengers per month, each paying $150. A market survey…

A:

Q: A rectangular storage box with an open top has a length of x feet, a width of y feet, and a height…

A: Given: The length of the open top box is x feet. The width of the open top box is y feet. The height…

Q: Express A implicitly as a function of a, b, and c and calculate∂A/∂a and ∂A/>∂b.

A: By using law of cosines, we get a2=b2+c2-2bccosA Now differentiating with respect to 'a' keeping 'b'…

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: Given :- P(x) percentage of the income spent on health care in year x and I(x) income in year x.

Q: Victoria kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit…

A: Please refer the attached image for complete solution.

Q: The figure shows an open box with a square base and a partition down the middle. The box is to have…

A: In the given diagram of open box with a square base and a partition down the middle. The height of…

Q: On a certain route, an airline carries 7000 passengers per month, each paying $90. A market survey…

A: Given 7000 passengers per month paying $90. Each $1 decrease in the ticket price. The airline will…

Q: A frog sitting on a rock jumps into a pond. The height, h, in centimetres, of the fr above the…

A: We have ,  h=-490t2+150t+25 .........(1)

Q: a rectangular plot requires 2000 feet ( in feet ) of fencing to enclose it. if one of its dimensions…

A:

Q: An appliance dealer advertises a 45% discount on all his washing machines. In addition, the…

A:

Q: A tank has 16 gallons of water in it when water begins draining from the tank. (Recall that water…

A: This question is based on functions.

Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 3 hours, at a…

A:

Q: Determine whether the function (shown in the table below) could be linear or cannot be linear. A -…

A: The coordinates of points of the function are shown in the table given in the problem. For 1st and…

Q: A car rental company charges a one-time application fee of 30 dollars, 50 dollars per day, and 12…

A: A car rental company charges application fee of 30 dollars per day , 50 dollars per day and 12 cents…

Q: Determine the domain of the function Screen Shot 2021-10-05 at 10.58.46 AM.png b f (x) = Vx² – a² O…

A: Proceed as shown below

Q: A football team plays in a large stadium. With a ticket price of $20, the average attendance at…

A: Given: A football team plays in a large stadium. With a ticket price of $20, the average attendance…

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A: Given :            Let x be the number of $1 increases in the price.  Then the price charged per…

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A: Given that a cell phone charges $49.95 per month +$14.02 taxes and $0.40 per minutes for calls…

Q: Select all tables that represent a function. a) x y -5 -2 -3 -2 -1 -2 1 -2 b) x y 0 9 2 7 2 5 4 3…

A: The tables as follow: a) x y -5 -2 -3 -2 -1 -2 1 -2 b) x y 0 9 2 7 2 5 4 3…

Q: A student, 2 meters tall, walks towards a lamp post 5 meters high. The light casts a shadow, x, of…

A:

Q: Lena and her husband are each starting a saving plan. Lena will initially set aside $50 and then add…

A:

Q: 8. A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the…

A: Since you have posted a multiple question according to guildlines I will solve first  question for…

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A:

Q: A ball is dropped from a height of 40 feet. The function f(x)=40(0.6)xf(x)=40(0.6)x gives the height…

A: This is a problem related to the power function. Here height of the ball at each bounce is given in…

Q: Ms. Jackson has 32 m of fencing to make a rectangular pen for her rabbits. The wall of her house…

A:

Q: A city’s daily high temperature, in degrees Celsius, can be modelled by the function t(d)=−28cos 2π…

A: Given function is, td=-28cos2π365d+10 Now, solving the given equation as,…

Q: From a rectangular piece of cardboard having dimensions a × b, where a = 10 inches and b = 20…

A: The rectangular piece of cardboard is as shown below,

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: A function wherein all terms are of the same degree in terms of x and y is known as ________

A:

Q: o Yes, it is a function.

A: Given: The graph ,

Q: A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z…

A:

Q: During a nine-hour snowstorm, it snows at a rateof 1 inch per hour for the first 2 hours, at a rate…

A:

Q: Plan A has a monthly fee of $15 with a charge of $0.05 per text. Plan B has a monthly fee of $5 with…

A: Let: Monthly fee be m.Charge per text message be c.   a) For plan A: Monthly cost…

Q: Use the graph to determine the domain and range of the function a. Domain :(-0, – 2) U (-2, 0);…

A: The vertical asymptote is x=-2 & horizontal asymptote is y=1.

Q: a charter bus company determines the rate per person according to the formula Rate = 6 − 0.05(n −…

A: Given Data: The rate per person is: Rate=6-0.05n-60 The number of people is: n   Simplify the…

Q: The function V = f (t) = 36,000 — 4,500t states that the value of a piece of equipment is a function…

A: Given that V states that the value of a piece of equipment is a function of its age Vt=36000-4500t…

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A: (a)We have a base of 20000 to express the number of attendees, and then the attendance decreases by…

Q: A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four…

A: Given:- A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.