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Q: Population: In a city of 72,000 people, there are 27,000 people under 25 years of age. What percent...

A: Given:The population of people who are under thge age of 25 is 27,000 out of 72,000.

Q: Simplify the difference quotients f(x+h)-f(x)/h and f(x)-f(a)/(x-a) for the following function by ra...

A: Here, we find f(x+h) by replacing x by x+h ,substitute the values of f(x+h) and f(x) and then by r...

Q: A pet store offered a baby monkey for sale at $1.25. The monkey grew, and the next week it was offer...

A: The amount of baby monkey is $1.25; the next week it is offered at $1.89.Then, raised to $5.13, then...

Q: Evaluate the expression without using a calculator. log 2 log2- Enter your answer in the answer box....

A: We first use exponent rule of logarithm. The exponent becomes coefficient.

Q: 25+2=

A: First we calculate 2^5.2^5= 2x2x2x2x2=32

Q: 4 y-fx) 36) Use the graph of the quadratic function to write it as: f(x)-a(x -h)'+k 26 -4-2

A: The graph is downwards parabola whose equation is (y-k)=a(x-h)^2, where (h,k) is the vertex of parab...

Q: I am having difficulty with problems involving piecewise. Can I be helped in a step-by-step tutoring...

A: Piecewise functions are: pieces of different functions (sub-functions) all on one graph. The easiest...

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be redu...

A: To calculate the amount of mass of after 6 half-lives if the initial amounts of radioactive isotopes...

Q: Divide −4x2−2x+14 by 2x+3 Write your answer in the form: −4x2−2x+14=(2x+3)×q(x)+r(x) −4x...

A: Click to see the answer

Q: The midpoint of PQ is M (4, -3). One endpoint is P Find the coordinates of the other endpoint, Q. (7...

A: The given system is,

Q: 121=(4q+5)2

A: To calculate the value of q from the provided equation which is mentioned below,

Q: Find the vertex, y-intercept, and x intercepts of the quadratic, and then graph it. y = -x2-4x-3

A: Find the vertex of the quadratic.

Q: The parent function f(x)= x3 is related to g. Use function notation to write g in terms of f. g(x...

A: The parent function is given by,

Q: 6 of 30 (4 complete This Question: 1 pt Without graphing, determine whether the equation has a graph...

A: The equation is given as

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =2x"-11x +4 has a real: zero bet...

A: We first have to find f(-2).

Q: 8) Use f(x) x-4x +2 and g(x) 5x-4 for the following a) Find S-g b) Find (flg)(x)and give the domain ...

A: Click to see the answer

Q: Solve the given exponential equation. Express the solution set in terms of natural logarithms or com...

A: Given exponential equation is,

Q: Sketch the graph of the quadratic function f (x) = x 2 + 3x + 1/4 without using a graphing utility. ...

A: (1)We are given quadratic equation

Q: Solve Inequality |7x+3| > 15. What are the steps to putting my answer(s) in interval form?

A: From |7x+3|>15 we get two inequalities. 7x+3>15 and 7x+3<-15. We will solve for x from thos...

Q: Christine, Ali, and Henry served a total of 138 orders on Monday at the school cafeteria Henry serve...

A: Given information:Christine, Ali, and Henry served a total of 138 orders on Monday at the school caf...

Q: A particular fruit’s weights are normally distributed, with a mean of 598 grams and a standard devia...

A: Let us define X=Random variable of the fruit's weight with mean=598 grams, standard deviation= 6 gra...

Q: A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the sec...

A: Total gas consumption in the given week is 40 gallons.

Q: Graph the solution to the following system of inequalities. <+4x3y−12 ≥+−5x3y−9 Then give the coo...

A: To solve the given system of inequalities graphically

Q: Two cyclists leave towns 144 km apart at the same time and travel toward each other. One cyclist tra...

A: Given that two cyclist 114 km apart travel each other at same time one cyclist travel 6 km/h faster...

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution...

A: Given,

Q: The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of ...

A: Drag force F directly varies with surface area A and square of the speed s.Wet surface area of boat ...

Q: #33 and #34

A: Note: We are authorized to answer one question at a time, since there are two question, so we are an...

Q: Simplify the difference quotient f(x)−f(a)/x−a for the given function. f(x)=2-6x-x^2

A: The given function is f (x) = 2– 6x – x2. Substitute x = a in f (x) = 2– 6x – x2 to obtain f (a). f ...

Q: explores the ideas of addition and Let's put these ideas together. Simplify each expression. a. 4x.4...

A: a)Here , we multiply, constants separately and variables separately, and use result ( x^m )(x^n)=x^...

Q: Last year, Isabel had $20,000 to invest. She invested some of it in an account that paid 7% simple i...

A: Given:Isabel had a total amount of $20,000 to invest.One of her invesetment gave her a 7% interest a...

Q: Find the quadratic function y=ax+bx+ c whose graph passes through the given points (3,29), (2,-26), ...

A: We have been given three ordered points and we need to find a quadratic function passing through tho...

Q: Use the graph of the rational function to complete the following statement As x4, f(x) -5 As x4, fx)...

A: x-> -4^- means slightly less than -4.

Q: Suppose that the amount of time it takes to build a highway varies directly with the length of the h...

A: Time (T) is proportional to the length of the highway (L) and inversely proportional to the number o...

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as ...

Q: Approximate the number using a calculator. 2.3 2.3 e (Round to three decimal places.) Enter your ans...

A: We first plug e^2.3 in the calculator.

Q: Aldo is walking. The number of calories he has burned varies directly with the number of minutes he ...

A: The number of calories burned by Aldo in one minute.As per graph, Aldo burn 12 units of calories in ...

Q: 3m+24=6m-3

A: Firstly, we subtract 6m from both sides of equation and then we subtract 24 from both sides

Q: #1

A: The given pair of equation are 2x +5y = 4 and 4x +10y = 1.

Q: 8 of 30 (4 complete) This T The domain of the piecewise function is (-co,co). a. Graph the function....

A: a.Use the online graphing calculator and draw the graph of the function as shown below.

Q: K

A: Given,

Q: x5y7/x-2y7

A: The given expression is x5 y7 / x–2 y7.

Q: Determine whether each proportion is true or false. 27) 8/10 = 2/5/2

A: The given proportion is 8/10=2/5/2.It can be written as 8:10=2:5/2.

Q: Janet, an experienced shipping clerk, can fill a certain order in 12 hours. Bill, a new clerk, n...

A: Click to see the answer

Q: Evaluate the expression without using a calculator. log5( log232 log 5 ( log 232) Enter your answer ...

A: Given expression is,

Q: #37 A faucet can fill a tub in 12 minutes. The leaky drain can empty the tub in 30 minutes. If the f...

A: Click to see the answer

Q: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...

A: To calculate the number defective bulbs in the batch of 3000 light bulbs. A sample contains 125 ligh...

Q: graph g(x)=4log1/2x plot at least two points on the graph, draw all asymptotes,

A: Given information:The given gunction is g(x)=4log1/2x.

Q: Solve the given system of equations. 5x+2y-5z 7 3x-4y+3z -31 6x-5y+ 6z - 59 Select the correct choic...

A: Method of Substitution:

Q: The functions f(x)=0.0875x-1.3x + 61.7 and g(x)=0.0875x +1.9x +11.1 model a car's stopping distance,...

A: (a) For x=35 we have to find f(35).Answer: Stopping distance on dry pavement = 123 feet.

Q: Find the vertex, y-intercept, and x-intercepts of the quadratic function, and then graph it. y = x...

A: The given function is y=x2-4x-1.