Q: The baseball team pitcher was asked to participate in a demonstration for his math class. He took a…
A: The ball starts 80ft of the ground.
Q: Use the graph to determine the domain and range of the function. Ay 10 The domain of the function is…
A:
Q: For this item, select the answers from the drop-down menus. Consider the function graphed on the…
A: Given:
Q: Graph the function on the same screen using the given viewing rectangle. How is each graph related…
A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…
Q: Consider the function y = 4 Construct a table of values for this function. -3 -2 -1 1 Question Help:…
A:
Q: Let f (x) = (x − 100)2 + 1000. What will the display show if you graph f in the viewing rectangle…
A:
Q: Use the graph of y = f(x) to answer the question regarding the function. Step 3 of 4: Find f(-1).…
A: We have to find the function value
Q: Find the domain of the function f(x) = What is the only value of x not in the domain? 8x +2 Only…
A: The given function is fx=18x+2. The above function is a rational function of the form fx=pxqx. We…
Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0,4)…
A:
Q: Which facts are true for the graph of the function below? Check all that apply. FX) = logo.125 X O…
A:
Q: Move the slider k so that the graph of y= r gets shifted up 3 units. Then type the new function,…
A: Given: The graph of function y=x2.
Q: 36. Graph the function x 20 f(x) x< 0. Why is f(x) called the integer part of x?
A: Sketch the given function as shown below.
Q: ax+12 The function f (x) = is shown in the graph. What are a and b? x+b
A: Vertical asymptotes for a function f(x) are the values of x for which the output tends to either…
Q: QI\ A\ Find Domain and Range for this function y √x²+2
A:
Q: Find the domain of the function below (Write your answer in interval notation) 1
A: Let fx=1x2-x-6 Since function must be defined everywhere in domain. As given function vanishes…
Q: Use the graph of y = f(x) to answer the question regarding the function. Step 3 of 4: Find f(-1).…
A: From graph, At x=-1 y = -4
Q: Separately graph the functions y = 3" and y = G*. In the fırst step, you must show a table of some…
A: Given: y=3xy=13x
Q: of the Write a function g whose graph represents a translation 3 units down followed by a vertical…
A:
Q: Select the correct answer from each drop-down menu. Consider the end behavior of the function 9(*) =…
A: The end behavior of a function f(x) describes the behavior of the function as x approaches+ ∞ ans as…
Q: The baseball team pitcher was asked to participate in a demonstration for his math class. He took a…
A:
Q: The baseball team pitcher was asked to participate in a demonstration for his math class. He took a…
A: The height of the ball is given by the function h(t)=-16t2+64t+80 The parabolic function of the form…
Q: In the diagram, EF and AB are parallel. Line CD is a Part B: Use function notation to describe the…
A:
Q: Consider the function f(x, y) = 36 – a² – y². On a piece of paper, find and sketch the domain of the…
A:
Q: Carol has 1800 ft of fencing to fence in a rectangular horse corral. 900 X (a) Find a function that…
A: Total length of fencing=1800 ftwidth of the rectangular fence=xLength of the rectangular…
Q: Laurie is building a circular pen to keep chickens in and can use up to 100 feet of fencing. The…
A:
Q: Graph the function f(z) = 7° by moving the key points. You can only graph integer points. For…
A: 1. The given function is y=7x2. The function y=e3x is vertically compressed by a factor of 8,…
Q: 53) Use the graph of y = 3* to graph the function. Write the domain and range in interval notation.…
A: The graph of function y=3x is . Domain of above function is x∈(-∞,∞) range y∈0,∞
Q: tudent is graphing the function y= Vz – 27 on the coordinate plane. Which statement will help the…
A:
Q: c2 Suppose the response of a drug is modeled by the function R(c) = 3+c2 where c is the drug…
A:
Q: en the function ƒ defined by the arrow diagram below: What is the domain? a • b. y C• What is the…
A:
Q: O O 13. For the function (x), each range value is associated with only one domain value. The range…
A:
Q: The baseball team pitcher was asked to participate in a demonstration for his math class. He took a…
A:
Q: 3. Determine if the relationship is a function. a) Does the graph below represent a function?…
A: A relationship given by some graph is a function if intersects the each line parallel to y axis…
Q: 2. Let R = {(1,2), (3,4), (5, 11), (3, 1) }. Find t Answer:
A:
Q: Find the domain of the function f(x) What is the only value of not in the domain? 4x + 5 Only Value…
A: We are given the function: f(x)=14x+5 The domain of the function is:
Q: Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts,…
A: I have append the concept in the solution part
Q: Use the graph to determine the domain and range of the function. Ay 10 The domain of the function is…
A: domain of a function= all the values in which function is defined or which can be input on function…
Q: Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already…
A:
Q: MAFS.91. = 28,000 – 1,750x to represent the amount 49. A company uses the function V (x) left to pay…
A:
Q: Tuesday 2. Create on exomple and a non-exomple of a function using the graphs below 1 Determine if…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: rom the box below, circle all of the functions whose range is [-3, 00). (Hint. graph each runction…
A: f(x)=x-3g(x)=x-3h(x)=-x+3j(x)=-x2-3k(x)=(x+1)2-3 m(x)=(x+3)2 n(x)=(3-x)2 p(x)=-3r(x)=x-3
Q: The baseball team pitcher was asked to participate in a demonstration for his math class. He took a…
A: Answer
Q: 7/Find the domain and range then sketch the functions (1) ソ= *- 1 (2) y = *+ 2
A:
Q: The baseball team pitcher was asked to participate in a demonstration for his math class. He took a…
A: The height of the ball is represented by the function h(t) and it is given as h(t)=-16t2+64t+80…
Q: 17. What are the domain and range for the function (x) = **? x-5 %3D
A: Given rational function is fx≡y=x+5x-5 .....1
Q: —х — 2, х < -2 V9 — х?, —2 <x<1 3 — х?,1 <х | 2) f(x) =
A:
Q: A ball is hit from the ground. When the ball has traveled a horizontal distance of d meters, its…
A:
Q: Sarah went on a bike ride. The graph below shows the distance, y, in miles, that she had traveled…
A: Given : The graph show the distance y in miles that she had traveled after for x…
Q: Part a: Graph f(æ) = x – 4, Over all Real numbers, -3 s a s 2 Y -7- Part b: Determine the range.
A:
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Step by step
Solved in 2 steps
- 11.2 The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising "Eatathon." The society will charge students $1.10 per serving of pasta. The society estimates that the total cost of producing x servings of pasta at the event will be C(x) = 310 + 0.10x + 0.002x2 dollars. (a) Calculate the marginal revenue R'(x) and profit P'(x) functions. R'(x) = P'(x) = (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 200 servings of pasta (in $). revenue$ profit$ marginal revenue$ per additional platemarginal profit$ per additional plate Interpret the results. The approximate from the sale of the 201st plate of pasta is $ . (c) For which value of x is the marginal profit zero? x = plates Interpret your answer. The graph of the profit function is a parabola with a vertex at x = , so the loss is at a minimum when you produce and sell plates.It's urgent solve in 15 min. : Consider the following production function where Y denotes output produced and X1, X2, X3, X4 are the four inputs used for production. Y = f (X1|X2, X3, X4) The production function given above is a two-variable input production function? True False10. Jingle Bells Inc. has received a rush order for as many of two types of Easter eggs as can be purchased and shipped during a 2-week period. Preliminary analysis by Jingle Bells indicates that the profit on this order isrelated to the number of each type of Easter egg manufactured by the function:P(x1 , x2) = – x12– x22 + 12x1 + 10x2 + 61where x1 = thousands of units of Type 1 eggs and x2 = thousands of units of Type 2 eggs. Because of other commitments over the two weeks, Jingle Bells has available only 60 hours in the Shipping and Packaging Department to get the order out the door. It is estimated that every 1000 units of Type 1 eggs will require 20 hours in the department and every 1000 units of Type 2 eggs will require 30 hours.i) Formulate a mathematical model that can be used to determine how many thousands of each Type of egg should be manufactured in the two-week period so as to maximise profit.ii) Find a solution to your mathematical model.
- A company anticipates there will be a demand for 20,000 copies of a certain book during the next year/. It costs the company $0.50 to store a book for 1 year. Each time it must print additional books, it costs $200 to set up the equipment. NOTE: We assume that the demand is uniform. Let x= number of books printed during each printing run y= number of printing runs Use this information to answer questions 1-6 below 1) Since x is the number of books printed in each printing run, x must satisfy 1 ≤ x ≤_____. In other words, x is in the closed interval [a,b], where a =1 and b = _______. 2) Using the calculations above, we can express the total cost C(x) as a function of x, with the restriction on x given in the previous problem. Find the critical number of C(x) by solving C′(x)=0. NOTE: Because of the restriction on x, there is exactly one critical number c. 3) There is only one critical number c in the interval, and the cost function C(x) is continuous. Since C′(c)…1. We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following price-demand and revenue functions: p(x)=90−3x Price-demand function R(x)=xp(x)=x(90−3x) Revenue function where p(x) is the wholesale price in dollars at which x million chips can besold, and R(x) is in millions of dollars. Both functions have domain 1≤x≤18. A) Which of the following is the graph of the revenue function? (B) Find the output that will produce the maximum revenue. (C) What is the wholesale price per chip that produces the maximum revenue? I stuck at the part where = −3(2x^2+90x) I am supposted to add number in to complete the square inside the parentheses and add outside the parenthes? what I don't what the number is and how to get it? can explain that part to me. Thank YouII) A firms production is represented by the following Cobb-Douglas function: Q = K13 L23. The rental rate, r, of capital is given by $16 and the price of labor is $4. a. For a given level of output, what should be the ratio of capital to labor in order to minimizecosts?b. How much capital and labor should be used to produce those 200 units?c. What is the minimum cost of producing 200 units?d. What is the additional cost of increasing output to 350 units in the short run and in the longrun?e. Does this production function exhibit increasing, decreasing, or constant returns to scale?Please answer based on the cost calculations in parts c and d.
- Suppose that the price p of a product and its demand x are related through the price-demand equation x+400p=8,000. We're interested to find all the values of p such that the demand is elastic. Which of the following gives the correct region(s)? Select the correct answer below: {p|p<10}∪{p|p>20}. {p|p>10}. {p|p<20}. {p|10<p<20}.Consider the following model of a firm. The firm produces a single type of good. The firm can sell as many units of the good as it wishes at price p per unit. The cost of productin the good remains constant at c regardless of how many units are produced. The firm choses the number of units to produce q. What is the correct interpretation of the expression q(p-c) a. marginal cost b. quantity multiplied by total revenue c. profit per unit multuplied by quantity sold. d. revenue - marginal cost6 Assume an hypothetical consumer faced by the following utility function; U=X^2Y ( squared times y). After a bad harvest and thus bad economic conditions, the price of good X increases from Ksh.4.2 to Ksh. 4.8, while the price of good Y which was ksh. 4 increased to ksh.5. The income of the consumer was ksh. 30 before and after the good harvest. Calculate the CV and EV.
- The following function is a company's price function, where p is the price (in dollars) at which quantity x (in thousands) will be sold. p = 100e−0.5x (a) Find the revenue function R(x). [Hint: Revenue is price times quantity, p · x.] R(x) = (b) Find the quantity and price that will maximize revenue. (Round your answers to two decimal places.) x = thousand units p = $You have been hired by Kia as manager for its Pakistan operations. Assume following is the short-run production function at their assembly plant outside Karachi: Q = 10L2 – 0.5 L3 where L is variable input labor, Q is output of Cars assembled a. Find the ranges of the three stages of production. b. Demonstrate the relationship between Total Production, Marginal Product and AverageProduct in a hypothetical graph and clearly label the three stages as per the values of Lyou observed in (a) above c. At the end of the year it is expected that output will double with purchase ofnew equipment and machinery. The production function is estimated to be Q = 60L.30K.70 where L is labor and K is capital. Suppose initial L1 = 1 and K1 = 1. When inputs are in increased to L2 = 2 and K2 = 2, do you observe increasing, decreasing or constant returns to scale? d. Assume Kia Head Office is considering hiring more laborers either at their Gwadar plant or…a) A supply function indicates the number of units of a commodity that suppliers are willing to bring to the market place as a function of price consumers are willing to pay. The function is qs = 0.5p2 – 200, determine the following: i: What class of function is this?ii: What quantity can be supplied if the market price is Rs. 30 & Rs. 50?iii: What price would result in 0 unit being brought to the market place? b) A manufacturer of microcomputers produces three different models. The annual fixed cost is $25 million. The following table summarizes the data. MicrocomputerModel 1 Model 2 Model 3Wholesale price/unit $500 $1000 $1500Material cost/unit $175 $400 $750Labor cost/unit $100 $150 $225 a. Determine a joint revenue function for sale of three different Microcomputer models.b. Determine an annual total cost function for manufacturing the three models.c. Determine the profit function for sales of the three models.d. What is the annual profit if the firm sells 20,000, 40,000, and…