Each time a certain balding gentleman showers, he loses 79 strands of hair down the shower drain. Write a formula that gives the total number N = N(s) of hairs lost by this man after s showers.

Q: Teach how to come up with a function that gives the amount of samarium-153 that remains h hours…

A: Let P be the initial amount and let A be the amount remains after h hours

Q: Given the function h(a)=√a+2, solve for h(a)=12.   solve a function using function notation

A: Given function We need to solve for

Q: A bacteria culture contains 1500 bacteria initially and doubles every hour. a. Find a function N…

A:

Q: An antique table increases in value according to the function ​v(x)=550​(1.05)x dollars, where x is…

A: Consider the following function: vx=5501.05x where, vx=value of antique tablex=number of years after…

Q: The marriage rate per 1000 woman for the years 1985-2014 can be modeled by the function 132x + 1000y…

A:

Q: plot the below function in the range 0 to 3x in steps of a/20.

A:

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: Find the interval where the function, - + 25 is decreasing? None (-00,-0.9375) • (-00, 0.9375)…

A: Given,  Then function  25x2-34x+25  We have to find the intervals in which it is decreasing.

Q: Use function notation to represent $1700 more than a faculty member's salary after 6 years on the…

A: 1 The function notation to represent $1700 more than a faculty member's salary after 6 years on the…

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: 39. How many x-intercepts can the graph of a function have? How many y-intercepts can the graph of a…

A: Number of x and y intercepts a graph can have.

Q: 10. When an apple is dropped from a tower 256 feet high, the function models the height of the…

A: we use second derivative test to find time where height is maximum

Q: A forest loses an average of 4.8% of its size every year due to logging.  (a) write a function for…

A:

Q: The amount of caffeine in the bloodstream decreases by 26% every hour. A cup of coffee contains 94…

A: Hi, your question has six sub questions. We answer upto three sub questions as per our policy.…

Q: Evaluate functions from their graph h(-7) =[ 6- 4+ 3 2- -7 -6-5-4-3 -2 3456 -4 -5+ -6- -7- Stuck?…

A: Given the graph of h(x). By using this graph we need to find the value of h(-7).

Q: Melissa and her husband are each starting a saving plan. Melissa will initially set aside $125 and…

A: Given: Melissa and her husband are each starting a saving plan. Melissa will initially set aside…

Q: The number of females in law continues to show steady increases. The number of female lawyers in a…

A: a. It is exponential function. b. F(30) =>F(30)= .834* x^1.297               =.834*30^1.297…

Q: a) find the domain and range of the function в Сху) =5 4-x2_ye 4-х

A:

Q: The given bar graph shows the percentage of U.S. women in the labor force from 1960 through 2010.…

A: From the provided information, The percentage of U.S. women in the labor force, f(x), x years after…

Q: Trey and his wife are each starting a saving plan. Trey will initially set aside $250 and then add…

A:

Q: Natasha runs a pizza restaurant. She must pay $110 to keep the restaurant open each day even if she…

A: topic - functions

Q: The number of bacteria N in a culture after t days can be modeled by the function  N(t) = 1,300 ·…

A:

Q: You sell lemonade for 25 cents per glass. You invested $6.00 in the ingredients. Write a formula…

A: Given data: The selling price of lemonade is 25 cents per glass. This means $0.25 per glass. The…

Q: An antique table increases in value according to the function v(x) = 650(1.06)* dollars, where x is…

A:

Q: Consumer expenditures, in millions of dollars, on all types of books in the United States for the…

A:

Q: The population of a city can be modeled using the function P(x)=-35x^2+450x+250 where x represent…

A:

Q: Consumer expenditures, in millions of dollars, on all types of books in the United States for the…

A:

Q: A right triangle has one leg three times as long as the other. Find a function that models its…

A: Given that one leg is three times as long as the other. And x is the length of the shorter leg.…

Q: The functionD(h) = 5e-0.4h can be used to find the number of milligrams D of a certain drug that is…

A: We have, the function given as Dh=5e-0.4h        ⋯⋯1 Where, D is the number of milligrams of a…

Q: A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 34…

A: Given: ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the…

Q: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function…

A:

Q: Each time a certain balding gentleman showers, he loses 62 strands of hair down the shower drain.…

A: Given: Each time a certain balding gentleman showers, he loses 62 strands of hair down the shower…

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.

Q: Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

A: Given: Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

Q: How do you use a formula to express a record time (63.2 seconds) as a function since 1950? (t=time…

A:

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

A:

Q: 1. Anton joined a golf club two years ago. He pays an annual membership fee of $895 and a greens fee…

A: given functionf(g)=895+30gwhere g is number of times he  played golf according to…

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

A:

Q: The amount of money (in trillions of dollars) that is invested in passively managed mutual funds can…

A: We have to find the amount of money in passively managed mutual funds in 2013 and 2018 and  if the…

Q: A printing service charges a set-up fee of $14.00 for each order and 5 cents more for each copy. The…

A:

Q: An airline increases its ticket price from $300 to x dollars. The dollar amount of the fare increase…

A: Given: An airline increases its ticket price from $300 to x dollars. The dollar amount of the fare…

Q: The number of public elementary and secondary school teachers (in millions) in a particular year can…

A: Solution: f(x)=2.638 + 0.183ln x

Q: rock falls from a tower that is 160 feet high. As it is​ falling, its height is given by the​…

A:

Q: Crystal runs a pizza restaurant. She must pay $80 to keep the restaurant open each day even if she…

A:

Q: Use a calculator with a yx key or a Λ key to solve: The 1986 explosion at the Chernobyl nuclear…

A: Use a calculator with a yx key or a Λ key to solve: The 1986 explosion at the Chernobyl nuclear…

Q: A certain medicine is taken in 220 mg dosages and has a half-like of 12 hours. The function A-220…

A:

Q: years

A: Please refer to the image below

Q: The function h=-16t^2+256th=−16t2+256t represents the height h (in feet) of a rocket t seconds after…

A: I am attaching image so that you understand each and every step.

Q: Diego planted a 8-inch tall magical beanstalk. The height of the beanstalk increases by 17% each…

A: a) Height of plant = 8 inch Percent increase in height of plant = 17% per day Let the number of days…

Q: A movinf truck rental company charges $34.45 to rent a truck, plus 0.67 per kile. Suppose the…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.