Exercises 11-16: For the measured quantity, state the set of numbers that most appropriately describes it. Choose from the natural numbers, integers, and rational numbers. Explain your answer. 11. Shoe sizes 12. Populations of states 13. Speed limits 14. Gallons of gasoline 15. Temperatures in a winter weather forecast in Montana 16. Numbers of DVD sales

Q: A mirror should be centered on the wall the mirror is 4 feet wide and the wall is 20 feet wide which...

A: Given: The mirror is 4 feet wide and the wall is 20 feet wide and the mirror is centered on the wall...

Q: In Problems 35 and 36, find the domain of each rational function. Find any horizontal, vertical, or ...

A: Given: 35. R(x)=x+2x2-9

Q: graph each ellipse. x2 + 4y2 = 16

A: The equation of the ellipse is, x2+4y2=16. Write the equation in standard form. x2+4y2=16x242+y222=1...

Q: What will a $90,000 condominium cost 5 years from now if the price appreciation for condos over that...

A: What will a $90,000 condominium cost 5 years from now if the price appreciation for condos over that...

Q: Solve the equation e3x = 10

A: We have to solve the equation for x: e3x=10 Taking natural logarithm both sides, we get lne3x=ln10  ...

Q: What am I doing wrong?

A:

Q: Use inverse trigonometric functions to show that the measure of the angle that the treasure creates ...

A: In the given problem, the three vertices of a right triangle represent the shore, the boat and the t...

Q: Suppose the graph of a function f is given. Write an equa- tion for each of the graphs that are obta...

A: Single question number is considered as subparts. Let the new function to be calculated be g(x) and ...

Q: Solve the inequality x2 - 5x ≤ 24. Graph the solution set.

A: The given inequality is x2-5x≤24. Move the term 24 to the left hand side. Then use -5=-8+3 and -8·3=...

Q: Determine whether the equation defines y as a function of x. 2x = y4 - 16

A: The given equation is 2x=y4-16.

Q: What absolute value equation is this?

A: we have to write the equation for the given figure

Q: Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-interc...

A: Explained below

Q: Find the principal needed now to get each amount; that is, find the present value. To get $80 after ...

A: Solution: Consider the given  Total amount A = $80 rate R = 9% Time T = 314 = 3.25 year Now, we have...

Q: evaluate each of the numerical expressions. ∛(-(8/27))

A: Given expression: -8273

Q: Use the Inverse Function Property to show that f and g are inverses of each other.

A: GIVENf(x)=2-5xg(x)=2-x5we need to show that f and g are inverses of each other.

Q: Sketch the graph of f(x) = Vx - 3 + 4.

A: Given: fx=x-3+4 . Here, the given function is defined only x≥3. The different values of y for x≥3 ...

Q: A function f is given. (a) Use a graphing calculator to draw the graph of f. (b) Find the domain and...

A: The domain is set of number on which function is defined. For example g(x)=1x-2 the given function c...

Q: Solve for x using cross multiplication. х — 2 3 x + 2 4 ||

A: Cross Multiplication 

Q: 8. Values of a Function The graph of a function g is given. (a) Find g(-4). g(-2), g(0), g(2), and g...

A: The graph of a function is: (a) To find g-4, g-2, g0, g2 and g4. Solution: In the graph, we can fin...

Q: graph each ellipse. 4x2 - 16x + 25y2 - 50y - 59 = 0

A: Given, 4x2-16x+25y2-50y-59=0 Standard form of equation of ellipse is, x-h2+y-k2=c  Center: h,k Use c...

Q: Find the inverse of the function.

A: The given function is fx=2x+13

Q: The graph of a function f is given. Sketch the graphs of the following transformations of f.

A: a) To graph the following transformationHorizontal stretching and shrinking of graphs:The graph y=f(...

Q: Did I do this right

A:

Q: Formulate a real-life problem that apply concept of exponents and radicals

A: there are certain examples for exponents and radical.

Q: Find the domain of the function. g(x) = log5 (x + 1/x )

A: f(x)=log5x+1x

Q: graph each hyperbola. x2 - y2 = 1

A: The equation of hyperbola is given as x2-y2=1

Q: 3. A function f has the following verbal description: “Multiply by 3, add 5, and then take the third...

A:

Q: A sailboat costs 24195. You pay 15% down and amortize the rest with equal monthly payments over a ​1...

A:

Q: A graph of a function f is given below. Find the net change and the average rate of change of f betw...

A: The net change in the value of the function f between x=a and y=b is Net change =fb-fa here, a=2 and...

Q: Solve each incquality. Use set-builder or interval notation. (a) x² - 36 z 0 (b) 4x² + 9 > 9x (c) 2x...

A: Given : a) x2 - 36 ≥0   

Q: 2. What is the approximate vertical distance between the search boat and the treasure? You can round...

A:

Q: Question 6

A:

Q: 55 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be g...

A: Here order is important, so we need to use permutation to find the possible ways Here we want to sel...

Q: Find the domain of the function. f(x) = √(ln x)

A: To find domain of the function fx=lnx. Solution: Domain is the input value for which a function is d...

Q: A complex polynomial function f of degree 4 with real coefficients has the zeros - 1, 2, and 3 - i. ...

A: Given: A complex polynomial function f of degree 4 with real coefficients has the zeros -1, 2, and 3...

Q: Find the equation of the circle that passes through the origin and has its center at (-4, 3).

A: The standard form of equation of circle with center h,k and radius r  is x-h2+y-k2=r2 . The general ...

Q: You should answer this question WITHOUT using a CALCULATOR. Write an equation in y = mx +b form for ...

A:

Q: A graph of a function f is given below. Sketch the graph of f -1 .

A: A graph

Q: Use a graphing utility to solve each equation. Express your answer rounded to two decimal places. ln...

A: Consider the provided equation, lnx=-x Use a graphing utility to solve each equation.  To Solve the ...

Q: Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-interc...

A:

Q: help with 5 and 6

A:

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C, a...

A:

Q: Suppose teh graph of f is given. Describe how the graph of each function can be obtained from the gr...

A: we have been given the graph of the function f. we have to tell how the graph of each function can b...

Q: 3) What is the solution for the system of equations? y%32x-3 4x-Зу-31 A. (-11,-25)

A: Consider the equations: y=2x-3...14x-3y=31...2 Here, the objective is to find the solution of the gi...

Q: Given f(x) = 3x4 - 2x3 + 7x - 2, how many sign changes are there in the coefficients of f( - x)?(a) ...

A: Given function - f(x) = 3x4-2x3+7x-2          ..............(1)Let's find f(-x) - f(-x) = 3-x4-2-x3+...

Q: What absolute value equation is this?

A:

Q: The bacteria in a 4-liter container double every minute.After 60 minutes the container is full. How ...

A: The bacteria in a 4-liter container double every minute.After 60 minutes the container is full.

Q: Find the domain of the function.

A: A function is the relation between input variables and the output variables wherein each input varia...

Q: graph each hyperbola. 25x2 + 100x - 9y2 + 72y - 269 = 0

A: we have to graph the given hyperbola.  25x2 + 100x - 9y2 + 72y - 269 = 0

Q: write the equation of the line that satisfies the stated conditions. Express final equations in stan...

A: To find the equation of line containing the point -1,-6 and having slope of 23. Solution: Standard f...